SmallDoge/stable_dataset_processed · Datasets at Hugging Face

input_ids listlengths 1 2.05k	attention_mask listlengths 1 2.05k
[ 28334, 19121, 1242, 476, 7742, 26767, 945, 5249, 896, 2947, 4487, 15790, 550, 619, 269, 2755, 789, 7722, 538, 519, 4070, 540, 14500, 267, 17633, 267, 695, 21218, 543, 804, 753, 5443, 781, 8075, 267, 789, 849, 1500, 11647, 269, 1879, 519, 28334, 781, 15790, 550, 619, 941, 11112, 267, 621, 6964, 1875, 268, 3530, 559, 7007, 15790, 550, 619, 593, 513, 10151, 4493, 547, 6023, 3063, 960, 269, 5637, 22825, 1500, 1750, 7370, 267, 964, 802, 267, 24950, 25764, 543, 6692, 1324, 267, 3092, 563, 2005, 1412, 529, 1767, 602, 519, 2663, 3044, 267, 2185, 695, 27495, 17253, 1750, 7370, 630, 272, 695, 27495, 568, 827, 513, 3723, 610, 476, 1789, 4699, 4700, 941, 519, 2634, 18876, 540, 772, 332, 655, 3120, 670, 27323, 5633, 655, 517, 267, 513, 4487, 15790, 10938, 945, 729, 3742, 538, 519, 12081, 540, 11261, 16549, 600, 2317, 630, 14444, 278, 910, 476, 14321, 277, 1040, 1261, 5116, 835, 538, 519, 6264, 10689, 540, 589, 20899, 16836, 269, 898, 4667, 547, 723, 24330, 8436, 543, 729, 519, 3312, 27189, 2967, 546, 753, 340, 563, 2026, 519, 1750, 7370, 941, 585, 7663, 29718, 4036, 1878, 267, 519, 5580, 2721, 518, 729, 1500, 2647, 2614, 547, 2322, 538, 519, 1279, 32639, 789, 20595, 543, 1726, 25979, 269, 13536, 22278, 23652, 519, 1272, 16654, 540, 741, 32540, 18459, 543, 1010, 11677, 619, 267, 543, 25343, 519, 1750, 7370, 865, 1454, 602, 789, 2322, 27189, 2967, 1750, 7370, 693, 519, 1283, 540, 519, 1592, 585, 16806, 5538, 338, 572, 14513, 563, 15987, 1906, 723, 3798, 334, 7389, 267, 621, 568, 2693, 602, 27189, 2967, 1750, 7370, 7930, 2968, 811, 2442, 1851, 519, 2199, 15194, 1362, 267, 922, 11677, 619, 543, 811, 1271, 22278, 1282, 519, 476, 1240, 628, 543, 2038, 476, 866, 628, 5553, 269, 898, 568, 849, 3833, 2009, 602, 972, 729, 1100, 6237, 2688, 540, 6580, 873, 269, 1677, 4952, 602, 519, 27189, 2967, 9221, 10393, 3576, 1055, 20749, 538, 524, 269, 6942, 271, 1510, 1022, 2178, 840, 25365, 2245, 12490, 3661, 563, 306, 1399, 548, 543, 2934, 454, 14808, 269, 476, 276, 9540, 594, 3118, 611, 20110, 19899, 1663, 10642, 27189, 2967, 9221, 585, 17960, 267, 1883, 13403, 4395, 4571, 2000, 622, 2725, 25702, 5736, 454, 2304, 715, 13034, 14389, 8613, 1982, 13886, 918, 617, 1177, 926, 670, 752, 889, 7491, 4157, 534, 630, 300, 13952, 602, 6529, 547, 835, 2361, 540, 1148, 610, 1884, 2294, 1070, 12286, 454, 306, 754, 2967, 570, 753, 340, 667, 839, 327, 20110, 10275, 534, 799, 15225, 2757, 1750, 7370, 689, 27189, 2967, 4975, 630, 5417, 816, 281, 27189, 2967, 476, 7176, 275, 268, 24879, 272, 267, 654, 752, 629, 599, 20076, 10275, 340, 267, 3687, 9564, 918, 1690, 328, 7302, 334, 476, 16960, 267, 22007, 281, 476, 28873, 268, 19442, 268, 3583, 279, 274, 267, 535, 1314, 281, 476, 28873, 268, 19442, 268, 9083, 274, 1916, 300, 2174, 320, 570, 753, 340, 19255, 814, 1044, 538, 1870, 930, 476, 6344, 1296, 563, 300, 2174, 320, 15480, 25431, 6394, 476, 2004, 2025, 543, 1007, 27189, 2967, 1750, 7370, 543, 8118, 519, 7467, 538, 476, 1960, 276, 269, 3371, 616, 519, 2934, 540, 1688, 13402, 27189, 2967, 1750, 7370, 267, 607, 1644, 676, 1864, 267, 609, 1082, 3606, 7422, 689, 519, 2123, 1995, 540, 3627, 1520, 1515, 543, 1866, 563, 306, 754, 2967, 1750, 7370, 616, 27537, 676, 14969, 29041, 4496, 3514, 14005, 543, 4190, 22725, 638, 1359, 593, 5394, 543, 18991, 1178, 1441, 3574, 267, 1419, 1883, 13403, 630, 29992, 330, 13960, 610, 31970, 1714, 332, 1916, 2690, 9355, 781, 19160, 267, 649, 666, 1592, 519, 1292, 1367, 2934, 607, 912, 272, 269, 2178, 23302, 4496, 3514, 14005, 799, 3262, 856, 689, 519, 3844, 9376, 6676, 454, 273, 269, 22725, 638, 1359, 799, 2306, 519, 5817, 10286, 540, 519, 3574, 1796, 856, 1034, 18991, 454, 274, 269, 18991, 1178, 1441, 1883, 13403, 543, 12212, 9221, 18133, 454, 275, 269, 1750, 7370, 616, 711, 2356, 9221, 6823, 2275, 4554, 630, 16269, 2874, 540, 835, 4062, 1152, 264, 855, 949, 723, 513, 3490, 454, 276, 269, 1082, 267, 855, 711, 782, 267, 723, 513, 11308, 1327, 6362, 536, 20110, 610, 695, 12494, 926, 799, 14014, 519, 1647, 267, 9376, 1652, 2721, 619, 1996, 3276, 6921, 1513, 563, 763, 22725, 20960, 1740, 568, 835, 540, 519, 1292, 2934, 540, 513, 27189, 2967, 9221, 282, 713, 24643, 1114, 6436, 543, 519, 2446, 540, 1585, 2553, 269, 589, 2241, 1259, 540, 7713, 519, 22725, 20960, 949, 581, 547, 4334, 27189, 2967, 609, 930, 1750, 7370, 689, 519, 1744, 20110, 333, 2967, 1858, 5180, 17578, 15843, 24499, 267, 593, 519, 3567, 7256, 5032, 2427, 563, 14808, 269, 476, 277, 9540, 512, 753, 340, 3812, 538, 561, 342, 611, 599, 4821, 267, 1883, 13403, 4395, 2676, 13232, 2000, 622, 2725, 25702, 5736, 454, 1103, 835, 1184, 1419, 1031, 972, 267, 519, 3574, 568, 711, 6074, 585, 922, 17681, 10286, 610, 547, 1397, 621, 1055, 630, 16269, 798, 711, 946, 1883, 13403, 2567, 519, 28506, 593, 513, 9221, 972, 6411, 811, 899, 519, 17198, 540, 513, 7206, 269, 1879, 960, 568, 8737, 593, 22725, 638, 1359, 621, 267, 519, 10286, 540, 519, 3574, 568, 1100, 3476, 2731, 7298, 268, 3286, 607, 649, 798, 711, 1413, 585, 519, 4806, 593, 513, 8737, 17198, 563, 290, 2761, 338, 5443, 4019, 606, 896, 1723, 520, 1500, 540, 513, 6094, 2740, 22725, 20960, 543, 9522, 32634, 630, 31673, 5109, 8869, 264, 799, 3947, 519, 28506, 513, 5347, 2960, 267, 25361, 909, 1022, 18784, 9475, 538, 519, 3574, 865, 22725, 20960, 3112, 581, 12842, 543, 2488, 513, 4837, 6438, 2627, 593, 799, 547, 22725, 20960, 269, 634, 22725, 638, 19907, 6227, 519, 10286, 538, 2324, 1010, 9059, 855, 519, 17578, 15843, 24499, 9221, 1869, 24643, 721, 1813, 547, 519, 2178, 1065, 748, 338, 2946, 4401, 1740, 543, 519, 3337, 540, 519, 512, 753, 340, 609, 922, 7381, 267, 5594, 16070, 3337, 267, 1419, 8476, 676, 519, 1327, 6362, 3046, 8720, 519, 2721, 619, 563, 1103, 27189, 2967, 519, 13492, 5443, 4941, 519, 21951, 547, 1294, 519, 5898, 540, 519, 10286, 543, 1031, 519, 23984, 523, 19441, 4480, 630, 339, 15330, 340, 1797, 547, 18061, 909, 264, 936, 10694, 1883, 13403, 610, 9221, 18133, 269, 634, 3574, 568, 711, 20177, 607, 1657, 267, 865, 22725, 20960, 694, 10134, 883, 519, 3574, 267, 3226, 883, 519, 2571, 267, 10110, 550, 1412, 1998, 18436, 262, 1063, 519, 2182, 10286, 3515, 269, 3962, 10359, 568, 2451, 593, 11489, 5176, 3819, 543, 519, 4430, 530, 21317, 1055, 563, 14808, 269, 476, 278, 27956, 6373, 1673, 753, 340, 630, 20253, 601, 539, 9221, 1070, 1883, 13403, 4395, 267, 2038, 2173, 573, 2725, 25702, 5736, 454, 763, 2182, 10286, 1412, 327, 1571, 262, 10110, 22725, 20960, 538, 519, 1101, 3156, 855, 4166, 1831, 521, 730, 269, 1677, 2061, 22725, 20960, 533, 4979, 909, 593, 519, 2182, 3515, 267, 519, 22725, 638, 19907, 530, 6346, 1055, 602, 1858, 855, 2636, 519, 22725, 20960, 6106, 547, 3136, 7213, 6819, 538, 519, 1412, 1998, 18436, 262, 11489, 789, 3914, 519, 4463, 540, 519, 10286, 1412, 327, 1571, 8339, 634, 22725, 638, 19907, 5932, 513, 5394, 10720, 540, 22725, 20960, 593, 519, 23898, 799, 3947, 519, 1750, 7370, 741, 24788, 748, 3308, 2298, 563, 11990, 1520, 1515, 10530, 606, 20626, 607, 9236, 519, 2182, 10286, 543, 18060, 532, 29779, 3574, 547, 834, 4614, 601, 11084, 11251, 538, 26703, 8487, 8794, 513, 11453, 543, 22883, 3121, 1522, 4734, 5667, 4774, 2127, 865, 513, 4480, 1572, 535, 25431, 268, 584, 25775, 18011, 342, 31441, 22725, 20960, 593, 543, 1055, 264, 729, 1031, 593, 519, 23984, 523, 19441, 538, 27189, 2967, 267, 2687, 547, 1520, 1515, 563, 298, 6359, 10098, 5991, 19441, 6257, 519, 4480, 540, 3903, 585, 2413, 1750, 7370, 855, 1520, 1515, 3081, 602, 713, 1935, 568, 2404, 609, 519, 22725, 638, 1359, 2944, 540, 2025, 693, 962, 821, 345, 11867, 563, 2252, 649, 5635, 519, 3337, 540, 519, 4496, 3514, 14005, 267, 27189, 2967, 1281, 711, 946, 519, 5180, 610, 2695, 541, 880, 9376, 10824, 1455, 11992, 538, 5087, 3887, 770, 3567, 269, 27189, 2967, 781, 616, 5609, 6681, 267, 609, 1100, 2786, 3515, 267, 543, 3100, 547, 3262, 24672, 856, 2072, 689, 519, 3844, 6676, 282, 519, 4496, 814, 606, 10694, 17031, 1145, 543, 568, 2356, 22725, 638, 1229, 606, 3858, 762, 3109, 454, 763, 3063, 341, 698, 656, 4496, 3514, 14005, 630, 16988, 16331, 264, 649, 12314, 609, 27189, 2967, 1750, 7370, 7902, 689, 519, 2063, 2395, 540, 519, 15480, 1872, 11867, 2229, 547, 519, 4571, 610, 3735, 2725, 25702, 1296, 267, 1775, 4318, 269, 476, 5908, 271, 910, 476, 4489, 271, 269, 4934, 540, 960, 1310, 519, 2725, 25702, 26198, 540, 476, 5908, 279, 543, 519, 29611, 540, 18156, 21307, 11538, 538, 476, 6942, 277, 267, 519, 4583, 32639, 19431, 338, 540, 27189, 2967, 5828, 741, 1983, 547, 519, 1007, 4123, 563, 15900, 593, 267, 6366, 4401, 10824, 941, 1031, 607, 789, 941, 267, 543, 519, 1374, 540, 519, 3514, 14005, 729, 2241, 269, 1635, 4571, 5336, 324, 25702, 267, 29048, 10726, 519, 10824, 856, 689, 519, 9258, 2427, 547, 1118, 519, 3514, 14005, 1413, 811, 10694, 563, 5804, 519, 3735, 2725, 25702, 547, 2038, 19248, 880, 20110, 21971, 630, 4489, 271, 910, 476, 736, 1070, 26539, 1566, 12040, 1750, 7370, 2968, 2442, 1851, 22278, 267, 543, 29048, 1031, 741, 5578, 547, 1118, 7294, 543, 2571, 17208, 3515, 269, 634, 6272, 540, 519, 4496, 1740, 10268, 1390, 3099, 282, 6093, 1273, 339, 2114, 616, 912, 787, 383, 375, 14150, 630, 323, 4048, 976, 543, 27683, 13211, 1206, 15843, 10275, 877, 630, 322, 3757, 525, 543, 16015, 13211, 327, 20110, 268, 20110, 630, 302, 686, 1581, 943, 14535, 1460, 525, 13211, 3333, 20110, 577, 1731, 889, 2967, 630, 1492, 12566, 267, 19348, 543, 20034, 264, 543, 454, 4322, 6272, 941, 7368, 593, 519, 2034, 267, 3791, 543, 8772, 2721, 619, 267, 538, 606, 16079, 545, 18916, 543, 593, 513, 4389, 4336, 269, 28900, 519, 1507, 1412, 338, 12522, 262, 1932, 1185, 30172, 610, 513, 4130, 5299, 563, 288, 9221, 11262, 676, 27050, 543, 6307, 31130, 1744, 777, 10098, 540, 1306, 6062, 5984, 814, 606, 4277, 5888, 269, 634, 1804, 9376, 6676, 593, 519, 1283, 2721, 518, 814, 1614, 2609, 269, 2201, 519, 2451, 568, 606, 8723, 24208, 10178, 269, 769, 519, 8998, 568, 606, 15069, 3864, 16536, 1283, 11058, 543, 593, 519, 1318, 568, 513, 5375, 2511, 22597, 269, 634, 1614, 3029, 616, 5532, 1927, 16900, 543, 621, 729, 1152, 593, 6251, 6514, 602, 519, 1079, 693, 2988, 673, 5546, 941, 4857, 563, 763, 9221, 3294, 814, 1100, 1880, 3409, 547, 17284, 267, 32198, 689, 519, 3574, 610, 2783, 267, 865, 519, 8966, 1145, 540, 519, 18305, 949, 581, 1644, 547, 519, 7214, 7279, 540, 519, 4496, 17501, 20536, 267, 2864, 982, 547, 513, 2027, 1931, 676, 513, 21471, 609, 513, 1434, 1702, 540, 2487, 7499, 3466, 269, 12846, 27189, 2967, 568, 513, 1279, 1259, 689, 19519, 267, 865, 621, 1590, 581, 18886, 607, 513, 1265, 267, 1498, 1520, 1515, 945, 8329, 513, 2603, 540, 519, 2930, 1702, 585, 713, 2376, 814, 2938, 835, 610, 1079, 824, 1806, 563, 2171, 949, 6157, 7058, 602, 713, 9221, 729, 1500, 538, 519, 3735, 476, 866, 628, 2540, 950, 519, 535, 611, 585, 5375, 6639, 18563, 22467, 3603, 7499, 10580, 538, 519, 3350, 1572, 645, 684, 1889, 328, 18087, 11986, 267, 18011, 3725, 23728, 538, 6406, 5314, 262, 5148, 922, 28288, 6068, 547, 9446, 3209, 2906, 899, 14884, 267, 751, 25393, 18635, 267, 31784, 9252, 619, 543, 8265, 22311, 593, 741, 8286, 267, 20955, 543, 3574, 23026, 16493, 563, 288, 9221, 693, 835, 2278, 781, 2777, 814, 9896, 4496, 3514, 14005, 563, 12024, 1034, 1750, 7370, 689, 824, 2694, 540, 570, 20110, 327, 18602, 538, 519, 2725, 25702, 5736, 267, 27189, 2967, 1750, 7370, 941, 3335, 7677, 1639, 609, 1507, 9376, 762, 2721, 619, 3297, 513, 7450, 630, 328, 4318, 269, 899, 513, 2922, 264, 2356, 593, 519, 5377, 1318, 540, 513, 9221, 267, 607, 1134, 607, 609, 693, 926, 8386, 334, 630, 4186, 716, 678, 633, 1206, 264, 585, 2921, 519, 5679, 4169, 950, 4496, 20362, 941, 1577, 979, 267, 3976, 7863, 519, 4478, 3574, 689, 3441, 269, 634, 1249, 602, 891, 4773, 540, 4401, 616, 10169, 12816, 2476, 538, 1082, 2665, 18327, 741, 10626, 563, 5472, 3544, 15174, 543, 8197 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14240, 540, 1234, 25912, 532, 6355, 454, 3725, 25912, 532, 513, 1870, 4016, 547, 519, 1184, 540, 21825, 4657, 519, 6216, 3961, 267, 17568, 267, 543, 8226, 540, 513, 2754, 538, 519, 19458, 269, 898, 3322, 1818, 1713, 12381, 547, 1585, 2609, 540, 519, 6216, 267, 971, 607, 519, 2012, 267, 20446, 267, 1374, 2609, 267, 20261, 267, 543, 2949, 6216, 4640, 563, 763, 3804, 540, 556, 25912, 532, 568, 547, 26016, 1125, 543, 18534, 1901, 519, 2754, 779, 3239, 547, 1732, 5447, 609, 922, 1699, 1870, 6859, 267, 3077, 5304, 267, 543, 2344, 3466, 269, 1234, 25912, 532, 666, 948, 4213, 7753, 2591, 267, 16174, 2933, 689, 15712, 267, 4482, 1007, 5561, 267, 543, 7794, 741, 2949, 6216, 9698, 269, 898, 568, 513, 20982, 543, 15826, 1184, 602, 3340, 9488, 1382, 267, 4058, 267, 543, 11056, 547, 2327, 513, 3811, 7004, 563, 27735, 540, 1234, 25912, 532, 538, 4653, 779, 14847, 1438, 6355, 23721, 454, 1103, 2221, 779, 8013, 1870, 5251, 267, 556, 25912, 532, 6585, 1713, 2956, 585, 3549, 5275, 547, 3251, 4143, 267, 7001, 2344, 2671, 267, 543, 8853, 538, 6422, 6990, 269, 3371, 616, 1896, 4128, 1946, 556, 25912, 532, 568, 2629, 912, 3849, 2194, 566, 547, 10369, 15448, 281, 29714, 11457, 6385, 267, 9141, 676, 6639, 7760, 267, 13346, 7082, 7375, 267, 543, 6932, 3466, 269, 1234, 25912, 532, 2636, 4213, 547, 3082, 547, 891, 2242, 267, 4180, 741, 6216, 3788, 4195, 267, 13267, 267, 543, 538, 19820, 609, 519, 1699, 2344, 6384, 563, 4467, 7065, 1438, 1520, 2779, 720, 281, 1234, 25912, 532, 666, 1683, 513, 8013, 6316, 676, 1114, 11868, 513, 1870, 689, 922, 15712, 269, 898, 6087, 3549, 547, 1065, 3789, 2933, 607, 5499, 267, 4464, 6253, 9722, 267, 543, 1732, 13988, 609, 741, 3077, 5304, 779, 2115, 269, 589, 1134, 7721, 1815, 3176, 556, 25912, 532, 4640, 666, 1711, 513, 2189, 1871, 20790, 602, 5036, 513, 2754, 6306, 543, 24643, 5561, 563, 289, 8681, 7073, 1436, 281, 3683, 942, 267, 12478, 666, 1831, 22573, 543, 6336, 10083, 269, 1234, 25912, 532, 2636, 4213, 547, 2413, 1125, 741, 3308, 3961, 267, 20261, 267, 543, 6216, 1995, 547, 13469, 609, 4207, 6800, 269, 1635, 24253, 519, 6216, 267, 3549, 666, 1921, 609, 1007, 5481, 267, 9029, 547, 4657, 16919, 267, 543, 2226, 513, 4207, 3239, 563, 22091, 21505, 883, 1715, 29714, 281, 1879, 10024, 1007, 6990, 267, 556, 25912, 532, 666, 948, 4213, 7753, 2686, 267, 10409, 267, 610, 8226, 7496, 269, 11154, 532, 519, 6216, 547, 2199, 16082, 543, 7375, 666, 3986, 2344, 10343, 543, 7520, 3811, 2344, 7127, 563, 300, 1120, 619, 543, 21733, 29792, 281, 1234, 25912, 532, 568, 1419, 2556, 950, 1079, 3549, 19467, 610, 835, 4203, 2231, 1776, 269, 898, 2636, 519, 9241, 4646, 11769, 547, 1711, 513, 23887, 6216, 3961, 602, 4564, 519, 5916, 9342, 267, 2418, 267, 543, 3853, 540, 1312, 3549, 269, 1234, 25912, 532, 1310, 513, 32421, 610, 11601, 5849, 513, 19618, 6216, 4527, 543, 2337, 19597, 622, 519, 1007, 11769, 779, 2344, 2990, 563, 11847, 16615, 5004, 281, 1234, 25912, 532, 666, 4196, 607, 513, 7580, 3210, 547, 8088, 1049, 2591, 610, 16839, 269, 1635, 1065, 3789, 532, 519, 6216, 543, 10771, 1007, 2418, 267, 4213, 666, 25580, 3972, 267, 2232, 2942, 11994, 267, 543, 28196, 710, 741, 3961, 538, 519, 4064, 540, 6800, 543, 8639, 563, 19968, 28841, 543, 667, 1392, 2305, 281, 1306, 4213, 1332, 543, 4228, 741, 1587, 610, 3028, 17008, 267, 556, 25912, 532, 666, 2992, 741, 9687, 9165, 543, 13686, 519, 9450, 1871, 20790, 269, 898, 6087, 3549, 547, 5968, 741, 6626, 7207, 267, 4482, 1007, 6075, 12415, 267, 543, 5365, 2208, 543, 29159, 563, 32715, 2465, 22580, 543, 1325, 9892, 281, 1234, 25912, 532, 666, 1045, 580, 28672, 4835, 2528, 543, 4497, 5520, 676, 3246, 513, 4195, 5075, 543, 4287, 269, 589, 1134, 268, 10919, 5344, 556, 25912, 532, 4674, 1128, 1571, 513, 2631, 540, 3483, 543, 9322, 1851, 5520, 267, 5807, 513, 3838, 7029, 547, 519, 2754, 779, 1007, 3961, 543, 3853, 563, 20578, 518, 17583, 543, 22580, 281, 1234, 25912, 532, 3091, 606, 4316, 547, 556, 6618, 609, 4540, 5561, 543, 4497, 1007, 3283, 269, 589, 556, 25912, 532, 4674, 602, 568, 6075, 7266, 878, 267, 8076, 267, 543, 24889, 609, 741, 17050, 666, 7794, 3929, 4296, 267, 2087, 6216, 14017, 267, 543, 5397, 6075, 14223, 563, 9377, 1456, 519, 1234, 25912, 532, 15613, 454, 9377, 1456, 513, 3102, 556, 25912, 532, 4640, 568, 2629, 585, 513, 3811, 7004, 269, 3371, 616, 1883, 3268, 547, 2015, 950, 3384, 513, 556, 25912, 532, 4640, 912, 268, 5590, 13068, 20505, 281, 22682, 5581, 519, 6859, 543, 3853, 540, 519, 556, 25912, 532, 4674, 269, 14419, 1018, 596, 2832, 547, 3035, 998, 519, 556, 25912, 532, 267, 2436, 621, 779, 2799, 2344, 2671, 267, 19788, 1007, 6075, 12415, 267, 7393, 6216, 8226, 267, 610, 15268, 547, 2344, 2242, 269, 1452, 6859, 786, 3391, 519, 3003, 556, 25912, 532, 1184, 563, 268, 18430, 10369, 3194, 281, 18897, 5699, 1382, 707, 3077, 2344, 267, 5561, 267, 543, 15712, 269, 13760, 741, 7375, 267, 2115, 267, 543, 11994, 269, 10576, 2344, 3466, 267, 2872, 14541, 12201, 267, 543, 6932, 3255, 269, 901, 1382, 786, 1217, 707, 556, 25912, 532, 3664, 543, 948, 2327, 12972, 609, 2344, 7569, 563, 268, 16294, 27010, 10748, 1466, 281, 22682, 2697, 707, 3077, 5304, 610, 13217, 707, 4540, 6075, 12415, 269, 3763, 2143, 23138, 1268, 553, 547, 1174, 741, 22097, 267, 18144, 267, 5615, 267, 543, 7375, 269, 901, 786, 5512, 596, 547, 20688, 707, 556, 25912, 532, 4640, 547, 13469, 609, 519, 1808, 2115, 543, 13821, 540, 707, 3077, 5304, 563, 268, 8178, 15952, 24054, 281, 21414, 707, 1699, 6216, 9698, 676, 12570, 6216, 4656, 267, 8226, 267, 543, 6075, 14017, 269, 10576, 519, 9342, 543, 12755, 540, 707, 1699, 6216, 3961, 269, 901, 4879, 786, 948, 3313, 799, 2609, 540, 519, 6216, 547, 11677, 267, 12189, 267, 610, 4625, 1689, 1282, 519, 556, 25912, 532, 1184, 563, 268, 14958, 513, 3281, 2454, 15952, 9452, 281, 3763, 513, 8903, 6216, 1650, 602, 1148, 10306, 919, 519, 9759, 540, 707, 1870, 267, 922, 2418, 267, 543, 922, 2189, 1871, 20790, 269, 901, 2239, 1058, 13469, 609, 707, 3077, 5304, 267, 18427, 7553, 267, 543, 16174, 707, 6216, 689, 15712, 269, 3550, 602, 707, 6216, 1650, 20383, 609, 707, 1870, 6859, 543, 9356, 519, 5551, 8226, 540, 707, 6216, 563, 268, 4676, 710, 15952, 19024, 532, 281, 22682, 5581, 707, 6216, 17568, 1369, 519, 2344, 269, 10576, 519, 1883, 1114, 328, 2209, 602, 1305, 707, 6216, 6306, 689, 15712, 269, 14419, 519, 1808, 13395, 610, 10126, 596, 2832, 547, 19582, 543, 1020, 513, 17568, 3948, 602, 5693, 31825, 707, 2189, 1871, 20790, 547, 5561, 563, 268, 3763, 10439, 14740, 281, 5071, 513, 1007, 3308, 3961, 602, 20383, 609, 707, 556, 25912, 532, 3853, 543, 31825, 707, 6216, 779, 7209, 267, 2418, 267, 543, 17568, 269, 901, 2882, 2870, 513, 1007, 20446, 267, 2681, 29984, 267, 1462, 2762, 267, 543, 1374, 2609, 269, 3550, 602, 707, 3308, 3961, 568, 5812, 2066, 782, 6216, 5905, 9557, 547, 1711, 513, 23887, 543, 12300, 6216, 1995, 563, 268, 14958, 11619, 1645, 543, 570, 821, 540, 20429, 281, 3763, 2312, 543, 5812, 20261, 602, 9356, 707, 6216, 779, 7209, 267, 24889, 609, 707, 3077, 5304, 267, 543, 20383, 609, 707, 1065, 3789, 532, 4640, 269, 16294, 707, 6216, 779, 3159, 540, 5639, 267, 4180, 621, 568, 3617, 585, 707, 5304, 543, 5812, 2066, 782, 2792, 9055, 563, 268, 8073, 15952, 13832, 281, 19372, 6216, 4808, 602, 7291, 519, 1697, 6165, 540, 707, 6216, 2609, 267, 3308, 7221, 267, 543, 20261, 269, 1452, 4808, 2327, 5812, 6388, 540, 707, 556, 25912, 532, 2066, 782, 9055, 267, 1312, 24323, 543, 608, 27238, 269, 1358, 4196, 607, 513, 4704, 585, 5520, 267, 4891, 267, 543, 21527, 547, 2226, 6216, 11007, 563, 268, 3763, 606, 23840, 4643, 281, 8073, 513, 2143, 1544, 585, 7598, 519, 556, 25912, 532, 4640, 269, 901, 2882, 513, 15415, 267, 6578, 14305, 267, 543, 9021, 585, 1142, 4305, 269, 6333, 519, 1585, 5905, 2798, 1141, 519, 556, 25912, 532, 2115, 547, 581, 8045, 267, 971, 607, 3059, 7221, 267, 6725, 32097, 267, 2168, 1129, 720, 267, 11183, 267, 543, 9441, 2866, 563, 268, 4004, 6510, 2902, 958, 543, 1401, 27238, 281, 22682, 5968, 519, 556, 25912, 532, 547, 4835, 8639, 267, 1519, 5520, 267, 26933, 267, 543, 23265, 269, 3550, 789, 1174, 519, 4128, 3297, 519, 556, 25912, 532, 543, 875, 621, 20383, 609, 519, 2754, 779, 5075, 543, 6859, 269, 1401, 27238, 267, 1544, 513, 2792, 4640, 547, 14773, 543, 6338, 519, 556, 25912, 532, 547, 5561, 267, 4891, 267, 543, 519, 9962, 2344, 563, 268, 12763, 543, 17797, 281, 19372, 1883, 2773, 10832, 630, 298, 303, 3674, 264, 547, 2268, 519, 1967, 540, 519, 556, 25912, 532, 4674, 269, 25397, 14573, 971, 607, 6216, 4656, 267, 6075, 18941, 267, 2344, 2671, 267, 543, 1870, 2773, 563, 9288, 20011, 519, 11773, 540, 519, 1234, 25912, 532, 454, 9288, 20011, 519, 1967, 540, 513, 556, 25912, 532, 4674, 568, 2629, 547, 6218, 922, 1764, 267, 2697, 2127, 585, 6454, 267, 543, 1118, 5483, 3664, 3001, 4464, 269, 3371, 616, 930, 1883, 3268, 547, 3927, 2268, 519, 1967, 540, 519, 556, 25912, 532, 1184, 912, 268, 19372, 6206, 13437, 25824, 2209, 630, 298, 303, 3674, 2567, 16294, 1808, 918, 303, 3674, 602, 5447, 609, 707, 556, 25912, 532, 3853, 543, 6859, 269, 1452, 14573, 786, 948, 3950, 519, 3356, 543, 1764, 540, 519, 556, 25912, 532, 4674, 269, 6201, 540, 4143, 918, 303, 3674, 1331, 912, 268, 11814, 26592, 543, 19120, 5511, 4578, 281, 20283, 1312, 11050, 543, 12007, 1239, 547, 2744, 513, 3102, 1620, 540, 519, 556, 25912, 532, 779, 1764, 269, 901, 666, 1331, 12220, 267, 6075, 5955, 3029, 267, 1445, 2516, 267, 11042, 267, 1514, 2923, 6947, 267, 543, 2228, 8039, 269, 26592, 1239, 2488, 10230, 4030, 267, 1247, 12007, 1239, 3091, 538, 3829, 5955, 543, 4030, 883, 6075, 11994, 543, 2833, 563, 268, 14424, 2776, 268, 3725, 25912, 532, 543, 5403, 268, 3725, 25912, 532, 4578, 281, 19372, 513, 15977, 676, 10655, 4143, 1239, 1354, 519, 556, 25912, 532, 543, 5635, 621, 609, 1239, 6394, 1310, 519, 556, 25912, 532, 269, 901, 6476, 786, 948, 2697, 1022, 8037, 2242, 543, 2708, 519, 7145, 540, 519, 556, 25912, 532, 4674, 563, 268, 21302, 13437, 12367, 281, 21302, 519, 1239, 6394, 936, 942, 547, 2697, 3466, 543, 3270, 269, 6733, 585, 2242, 538, 519, 4857, 918, 303, 3674, 543, 2708, 2436, 789, 5447, 609, 519, 556, 25912, 532, 6859, 269, 10576, 2127, 1141, 519, 556, 25912, 532, 814, 1185, 513, 2318, 1764, 543, 2127, 602, 949, 2154, 2417, 3007, 563, 268, 16418, 21436, 543, 853, 820, 14516, 24720, 281, 2920, 1947, 3343, 5955, 689, 5561, 267, 5520, 267, 543, 824, 8639, 945, 723, 4810, 519, 556, 25912, 532, 269, 18430, 12220, 267, 1445, 2516, 267, 610, 11042, 547, 1174, 741, 11994, 267, 8369, 267, 543, 2833, 609, 519, 556, 25912, 532, 269, 901, 5955, 666, 1683, 3407, 4030, 883, 519, 7145, 540, 519, 556, 25912, 532, 4674, 543, 5031, 2127, 585, 6454, 563, 268, 5269, 4578, 5937, 337, 1508, 17797, 906, 281, 9122, 593, 519, 1239, 543, 5955, 6394, 267, 1118, 5483, 3664, 543, 11941, 547, 519, 556, 25912, 532, 4640, 607, 2877, 269, 10576, 1022, 2127, 602, 949, 2154, 2417, 27715, 610, 12972, 609, 519, 3077, 5304, 779, 6788, 269, 8033, 28204, 6895, 519, 2773, 14573, 547, 3950, 3356, 936, 942, 543, 2327, 5571, 1967, 563, 3725, 25912, 532, 568, 513, 7580, 1184, 602, 666, 948, 4213, 3082, 547, 4657, 2344, 6384, 267, 1796, 856, 689, 15712, 267, 543, 1921, 609, 741, 3077, 5304, 538, 513, 811, 6209, 1259, 269, 769, 2221, 779, 8013, 1870, 5251, 267, 556, 25912, 532, 6585, 10373, 2956, 585, 3549, 3168, 547, 3251, 4143, 267, 4482, 1007, 5561, 267, 543, 5397, 1870, 2208, 269, 0, 763, 4279, 853, 1575, 320, 693, 5842, 14024, 568, 835, 540, 519, 9510, 6149, 3889, 538, 3127, 267, 543, 606, 1271, 15224, 540, 4095, 15339, 269, 898, 729, 8385, 20827, 676, 519, 8575, 1722, 534, 17169, 12891, 24499, 519, 4279, 538, 519, 476, 274, 6113, 2540, 14514, 269, 4706, 13540, 729, 513, 2241, 8280, 7371, 17202, 15839, 2497, 3710, 936, 519, 882, 923, 540, 519, 17700 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 281, 24531, 16581, 26492, 692, 5970, 596, 2479, 2219, 827, 1141, 707, 5172, 4829, 610, 10448, 2501, 689, 286, 2107, 875, 621, 4991, 547, 707, 3349, 286, 4270, 267, 1577, 781, 7832, 593, 606, 3078, 3460, 998, 6694, 5389, 256, 1284, 786, 2263, 875, 1004, 2429, 1686, 723, 3484, 539, 519, 2244, 267, 19122, 7031, 267, 543, 5030, 538, 10103, 609, 2470, 781, 18819, 780, 4089, 476, 272, 281, 3776, 17583, 547, 7186, 692, 12441, 596, 917, 602, 3425, 616, 7184, 4448, 547, 2470, 543, 922, 4657, 12405, 286, 901, 4276, 814, 1044, 6444, 2094, 3504, 2053, 950, 2757, 12115, 619, 4718, 6402, 1063, 519, 2067, 1158, 543, 938, 1072, 269, 1280, 1383, 267, 789, 8068, 602, 1978, 2371, 8057, 1732, 1282, 1808, 2053, 540, 519, 1032, 267, 543, 5156, 891, 1482, 2371, 1223, 948, 3666, 938, 4703, 950, 13881, 693, 1346, 2053, 269, 5994, 4189, 30861, 1216, 17745, 976, 538, 4832, 547, 1832, 3579, 610, 521, 6235, 3636, 27130, 1500, 689, 3597, 5388, 899, 17436, 543, 12277, 538, 5162, 547, 3251, 18241, 2439, 4089, 476, 273, 281, 14856, 10871, 543, 17667, 16639, 692, 3086, 12997, 267, 1082, 8637, 4163, 5613, 543, 19787, 689, 782, 936, 519, 1158, 269, 1809, 1705, 596, 8275, 602, 12725, 6738, 3132, 1419, 3568, 2362, 2157, 540, 1898, 8324, 543, 6886, 3379, 547, 3688, 14903, 539, 1279, 9883, 286, 2334, 781, 1317, 28448, 13603, 3132, 25601, 811, 5567, 982, 3132, 602, 18795, 1472, 7996, 547, 581, 25855, 269, 4746, 267, 9140, 12725, 2337, 2569, 5533, 3361, 676, 6283, 256, 1924, 1985, 942, 596, 3643, 513, 6705, 2344, 610, 1294, 930, 26345, 3168, 13212, 689, 7404, 11396, 267, 3314, 910, 7446, 2199, 1797, 13820, 1512, 6980, 6730, 4543, 856, 12624, 3047, 780, 5194, 3364, 547, 2015, 568, 2436, 1426, 814, 1044, 5701, 609, 5739, 13851, 610, 16220, 9168, 269, 1452, 6878, 1522, 2800, 1312, 938, 4703, 543, 519, 1604, 269, 1677, 2327, 649, 27464, 2312, 540, 873, 267, 1904, 585, 5214, 3681, 8164, 2009, 269, 6733, 585, 10297, 6031, 834, 290, 1068, 1881, 17667, 2437, 799, 18715, 519, 1426, 18387, 1405, 2097, 883, 3346, 609, 10991, 18168, 267, 21137, 31993, 267, 23735, 2747, 267, 610, 4719, 4702, 780, 4089, 476, 274, 281, 16871, 11982, 781, 6762, 3778, 692, 5804, 7111, 1977, 834, 22764, 19946, 257, 12202, 630, 8690, 532, 8970, 267, 10365, 267, 543, 23601, 1927, 264, 547, 10120, 3864, 7693, 10047, 1949, 267, 972, 781, 865, 1454, 547, 3605, 827, 8105, 2853, 2250, 543, 1459, 269, 10289, 1114, 4529, 262, 4296, 547, 6683, 2636, 721, 547, 5660, 3309, 10366, 1247, 1565, 3407, 4245, 827, 6940, 543, 2463, 585, 519, 3618, 780, 1103, 713, 3184, 267, 649, 16436, 596, 547, 1831, 8049, 17701, 18167, 883, 519, 4241, 7706, 540, 6694, 5389, 269, 8625, 267, 649, 786, 8661, 8949, 1426, 267, 8956, 2085, 6040, 7326, 267, 543, 9784, 10357, 7888, 5079, 1107, 4180, 7524, 2950, 1631, 543, 585, 5481, 547, 2097, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18455, 835, 540, 7186, 781, 13144, 267, 649, 616, 1312, 9308, 543, 2618, 10999, 4299, 676, 1200, 28023, 2242, 269, 9147, 16392, 5389, 723, 2141, 2808, 519, 1480, 1560, 538, 6935, 547, 519, 4365, 2609, 543, 723, 15091, 519, 2956, 540, 13326, 519, 1198, 676, 12119, 16369, 540, 2732, 269, 1635, 1739, 519, 7326, 540, 938, 11937, 649, 666, 1451, 547, 2661, 538, 10103, 609, 7186, 781, 9979, 563, 31807, 3539, 1418, 1227, 6738, 3536, 568, 519, 1152, 1259, 547, 2057, 519, 15483, 18571, 540, 3114, 1093, 11143, 602, 616, 1459, 538, 20749, 6738, 1426, 269, 2637, 13443, 22041, 7031, 267, 799, 1500, 741, 1259, 883, 1034, 540, 519, 9268, 3536, 538, 3345, 3013, 267, 723, 519, 5207, 12526, 269, 1703, 568, 1100, 16601, 21458, 585, 10648, 302, 3536, 538, 2475, 543, 4516, 269, 634, 1152, 1259, 547, 581, 10648, 302, 6954, 543, 6464, 1863, 568, 547, 3442, 5214, 563, 18455, 513, 21649, 585, 938, 6492, 19512, 267, 2199, 5613, 543, 5388, 630, 325, 3306, 267, 13792, 610, 12873, 264, 2270, 1896, 2053, 811, 5567, 543, 8324, 982, 16865, 3283, 269, 2755, 938, 14000, 585, 16678, 3132, 568, 964, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13070, 3472, 1116, 26492, 257, 607, 851, 540, 834, 16300, 13493, 1315, 17151, 18887, 1315, 12426, 1299, 681, 21123, 5020, 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, 769, 513, 14297, 4884, 3957, 681, 10620, 990, 4068, 267, 972, 5030, 1079, 1655, 2828, 910, 2961, 320, 519, 1286, 27423, 543, 667, 3326, 773, 519, 6564, 21689, 269, 1358, 6068, 9683, 741, 5172, 11442, 4558, 267, 11262, 676, 6004, 269, 22472, 267, 945, 4421, 782, 12204, 540, 6517, 543, 31119, 269, 2290, 1554, 267, 789, 8068, 1945, 15116, 282, 519, 5223, 540, 6517, 547, 31119, 729, 2141, 2947, 547, 5722, 2439, 257, 294, 2465, 267, 594, 4898, 1946, 972, 616, 811, 31119, 982, 6517, 2437, 11432, 1229, 2961, 320, 267, 2695, 842, 532, 1200, 4064, 693, 519, 9118, 9343, 540, 9162, 269, 667, 3326, 773, 14452, 24617, 267, 834, 28646, 621, 814, 1945, 547, 798, 609, 875, 891, 9162, 616, 1500, 610, 5310, 1018, 3214, 4782, 12482, 10501, 1190, 267, 789, 14059, 6004, 269, 22472, 267, 6998, 1864, 827, 519, 2189, 3892, 540, 1010, 9162, 269, 1261, 6045, 267, 834, 11039, 1250, 15210, 2828, 267, 1589, 540, 519, 5223, 607, 3160, 8843, 269, 3371, 267, 1577, 803, 1397, 596, 1701, 2060, 10477, 25879, 593, 519, 2666, 267, 646, 7152, 875, 8840, 1524, 519, 2698, 1297, 540, 9162, 883, 12964, 3160, 2694, 5280, 2226, 3666, 1063, 6517, 543, 31119, 2687, 547, 519, 1305, 5223, 780, 2026, 789, 2007, 6479, 713, 1007, 1344, 267, 606, 2856, 13351, 873, 256, 4208, 711, 3984, 513, 1412, 10817, 612, 519, 7089, 540, 1677, 903, 262, 16311, 547, 6318, 4656, 827, 12753, 1247, 15980, 7482, 585, 513, 1434, 2014, 286, 19196, 1243, 569, 267, 789, 6896, 519, 2680, 267, 18136, 3025, 538, 681, 10620, 990, 4068, 547, 7119, 780, 3719, 620, 553, 267, 5103, 741, 3646, 267, 1100, 835, 8604, 547, 9787, 519, 3020, 9759, 540, 12753, 256, 2368, 31665, 1932, 1082, 6517, 267, 1866, 1932, 1906, 31119, 269, 9282, 771, 24711, 2989, 267, 2961, 320, 543, 667, 3326, 773, 7691, 602, 1620, 971, 3621, 2035, 3217, 942, 543, 9639, 269, 5020, 3884, 1405, 2141, 3551, 267, 855, 1565, 5170, 1107, 1256, 950, 1919, 1810, 1405, 979, 4010, 607, 9709, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 28317, 4558, 23619, 1079, 2010, 540, 9162, 281, 6517, 543, 31119, 269, 1403, 519, 5223, 540, 6517, 547, 31119, 568, 476, 276, 281, 278, 267, 543, 972, 616, 513, 2698, 540, 476, 4366, 9162, 267, 875, 1082, 6517, 543, 31119, 616, 972, 888, 2414, 4194, 713, 1966, 267, 649, 666, 946, 519, 1523, 540, 12753, 269, 634, 2016, 5223, 540, 6517, 547, 31119, 568, 476, 276, 281, 278, 267, 799, 1797, 602, 585, 1169, 476, 276, 6517, 267, 972, 616, 476, 278, 31119, 780, 5575, 267, 1577, 781, 1265, 856, 519, 2698, 2694, 538, 519, 5223, 912, 13707, 2694, 815, 20668, 585, 6517, 1341, 20668, 585, 31119, 454, 7386, 815, 476, 276, 1341, 476, 278, 454, 7386, 815, 476, 1321, 692, 3086, 267, 649, 991, 547, 3313, 519, 1871, 540, 1142, 851, 676, 12270, 519, 2698, 1297, 540, 9162, 630, 4366, 264, 676, 519, 2698, 2694, 538, 519, 5223, 630, 1321, 17107, 19368, 540, 1142, 851, 815, 11192, 9162, 1315, 11192, 2694, 454, 4449, 17264, 815, 476, 4366, 1315, 476, 1321, 454, 4449, 17264, 815, 476, 275, 692, 7661, 267, 649, 666, 5173, 519, 1297, 540, 6517, 543, 31119, 676, 14921, 519, 1871, 540, 1142, 851, 676, 519, 9757, 2694, 538, 519, 5223, 1384, 10831, 540, 6517, 815, 10025, 540, 1142, 851, 2608, 20668, 585, 6517, 454, 4449, 11434, 815, 476, 275, 2608, 476, 276, 454, 4449, 11434, 815, 476, 736, 692, 10831, 540, 31119, 815, 10025, 540, 1142, 851, 2608, 20668, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 8080, 547, 938, 21777, 3184, 782, 827, 19639, 7695, 5303, 256, 5620, 596, 2479, 9289, 875, 649, 2268, 1919, 899, 2837, 267, 2604, 267, 610, 3432, 286, 4270, 267, 602, 781, 1141, 31627, 2029, 2501, 538, 256, 901, 4241, 2361, 3322, 1210, 2027, 2645, 543, 2553, 547, 1491, 4977, 7403, 543, 5659, 1239, 269, 1452, 7405, 1404, 513, 2629, 1909, 538, 1082, 6080, 267, 1519, 1346, 602, 3132, 1648, 267, 6464, 267, 543, 1256, 1426, 2439, 4131, 781, 1376, 676, 1620, 1018, 891, 7405, 798, 269, 5994, 3843, 547, 6445, 909, 707, 1216, 11480, 693, 1753, 1510, 1373, 2111, 547, 1294, 519, 1216, 1377, 910, 621, 1131, 581, 3833, 4101, 267, 1318, 286, 2334, 781, 1946, 649, 723, 12238, 2471, 543, 8596, 547, 948, 721, 856, 269, 717, 879, 2471, 1397, 721, 1344, 899, 2604, 543, 2837, 267, 1247, 8596, 3713, 2242, 538, 1919, 899, 1769, 267, 3280, 267, 610, 5163, 269, 1635, 9256, 1114, 2010, 540, 7405, 267, 8030, 543, 23390, 666, 1711, 1950, 1949, 547, 6895, 543, 1852, 1585, 3157, 780, 3086, 267, 1577, 781, 2263, 930, 1483, 8996, 1806, 865, 596, 666, 1732, 1174, 713, 1523, 269, 16514, 3054, 9683, 513, 10217, 12051, 630, 296, 917, 594, 993, 14386, 1107, 972, 616, 6191, 10876, 6721, 8949, 13000, 269, 1677, 2327, 3388, 8255, 12347, 267, 12427, 946, 1896, 7405, 267, 899, 5687, 18852, 547, 2638, 519, 2837, 540, 24268, 10217, 267, 10253, 547, 9260, 5820, 267, 543, 2095, 332, 4394, 547, 10038, 519, 2179, 540, 23342, 8869, 2469, 883, 1142, 16801, 269, 2353, 540, 713, 5464, 18715, 9846, 17705, 669, 4377, 919, 2439, 3719, 7227, 267, 972, 781, 811, 256, 1548, 952, 649, 4941, 547, 1628, 1945, 1256, 16830, 982, 513, 10217, 12051, 286, 2913, 781, 1589, 2462, 543, 4952, 8888, 513, 16945, 1071, 2120, 256, 19296, 991, 7463, 7405, 547, 9108, 4020, 543, 2226, 13858, 26055, 269, 1280, 3236, 267, 8955, 2157, 1683, 6111, 950, 18413, 1524, 13475, 267, 5787, 18852, 5173, 519, 4229, 15915, 1745, 1282, 23538, 543, 7140, 267, 543, 8833, 12238, 2471, 6895, 7293, 8699, 2429, 519, 11878, 781, 10715, 269, 2060, 891, 4359, 2645, 267, 9858, 1711, 2922, 2943, 17938, 1791, 908, 2833, 585, 3025, 780, 7661, 267, 945, 4991, 547, 960, 609, 891, 6909, 19269, 286, 3353, 5974, 543, 8030, 945, 20647, 538, 31627, 2029, 256, 1358, 2356, 3180, 5232, 538, 4610, 899, 11418, 4702, 610, 4294, 9443, 267, 543, 741, 6791, 5849, 602, 6946, 1949, 1599, 5265, 543, 7561, 269, 898, 3217, 1296, 540, 4974, 543, 2259, 267, 855, 1175, 1589, 540, 519, 5863, 3785, 789, 1205, 547, 960, 593, 1169, 1554, 2439, 3383, 267, 1985, 942, 596, 2972, 707, 5172, 1521, 610, 7832, 593, 513, 29412, 7045, 693, 606, 31768, 6288, 267, 3314, 602, 31627, 2029, 5129, 513, 851, 538, 1818, 1346, 8090, 2009, 269, 1656, 945, 6487, 286, 9320, 14693, 9358, 786, 1831, 606, 4274, 538, 713, 9735, 2361, 256, 0, 2080, 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 ]
[ 875, 1454, 568, 476, 5379, 269, 866, 4846, 3160, 547, 7273, 543, 875, 547, 6460, 476, 5379, 269, 866, 4846, 547, 7273, 1547, 1411, 666, 1294, 621, 1524, 2630, 563, 1432, 568, 519, 11304, 547, 11013, 7503, 286, 634, 7503, 4846, 547, 18470, 568, 1175, 14921, 476, 273, 2338, 269, 1215, 1281, 476, 5379, 269, 866, 4846, 547, 11013, 7503, 4542, 1413, 286, 1547, 6423, 621, 1524, 2630, 912, 763, 1297, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 1267, 538, 6550, 454, 3383, 1018, 568, 519, 1267, 540, 519, 7503, 540, 476, 5379, 269, 866, 11304, 547, 6550, 286, 634, 4977, 1267, 568, 476, 6200, 269, 279, 4029, 276, 1240, 279, 1704, 279, 18470, 563, 2467, 568, 849, 1776, 1259, 547, 5173, 875, 1454, 476, 5379, 269, 866, 11304, 568, 3160, 547, 6550, 609, 2034, 267, 4443, 1826, 540, 519, 3830, 269, 6744, 621, 1524, 2630, 563, 763, 1297, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 1267, 538, 6550, 454, 3383, 713, 942, 267, 476, 5379, 269, 866, 4846, 3160, 547, 875, 1454, 7273, 7790, 634, 2626, 568, 476, 6200, 269, 279, 4029, 276, 1240, 279, 1704, 279, 6550, 563, 1692, 547, 6460, 476, 5379, 269, 866, 4846, 547, 7273, 538, 513, 1906, 7643, 286, 898, 568, 2009, 547, 946, 519, 476, 5379, 269, 866, 4846, 547, 7273, 20303, 2073, 799, 786, 1118, 519, 1964, 585, 596, 543, 596, 786, 1205, 513, 2953, 1267, 4586, 347, 5379, 269, 4905, 4846, 547, 7273, 10227, 6200, 269, 275, 4097, 7597, 2008, 347, 5379, 269, 6349, 4846, 547, 7273, 10227, 6200, 269, 27174, 10463, 2008, 347, 5379, 269, 6734, 4846, 547, 7273, 10227, 6200, 269, 275, 4281, 4281, 2008, 347, 5379, 269, 6860, 4846, 547, 7273, 10227, 6200, 269, 4335, 10695, 2008, 347, 5379, 269, 4962, 4846, 547, 7273, 10227, 6200, 269, 276, 2420, 9262, 2008, 347, 5379, 269, 6187, 4846, 547, 7273, 10227, 6200, 269, 276, 4510, 10844, 2008, 347, 5379, 269, 5881, 4846, 547, 7273, 10227, 6200, 269, 276, 5780, 9834, 2008, 347, 5379, 269, 5400, 4846, 547, 7273, 10227, 6200, 269, 6812, 280, 4905, 2008, 347, 5379, 269, 6021, 4846, 547, 7273, 10227, 6200, 269, 277, 1556, 6187, 2008, 347, 5379, 269, 272, 4846, 547, 7273, 10227, 6200, 269, 277, 3451, 1015, 2008, 347, 5379, 269, 1556, 4846, 547, 7273, 10227, 6200, 269, 277, 4649, 1428, 2008, 347, 5379, 269, 1321, 4846, 547, 7273, 10227, 6200, 269, 277, 6507, 736, 2008, 347, 5379, 269, 1724, 4846, 547, 7273, 10227, 6200, 269, 277, 4200, 2190, 2008, 347, 5379, 269, 1691, 4846, 547, 7273, 10227, 6200, 269, 278, 2641, 3066, 2008, 347, 5379, 269, 1428, 4846, 547, 7273, 10227, 6200, 269, 278, 6246, 3451, 2008, 347, 5379, 269, 1626, 4846, 547, 7273, 10227, 6200, 269, 278, 4792, 4343, 2008, 347, 5379, 269, 1704, 4846, 547, 7273, 10227, 6200, 269, 4281, 278, 6246, 2008, 347, 5379, 269, 1240, 4846, 547, 7273, 10227, 6200, 269, 3199, 280, 5325, 2008, 347, 5379, 269, 866, 4846, 547, 7273, 10227, 6200, 269, 279, 4029, 7367, 2008, 347, 5379, 269, 273, 4846, 547, 7273, 10227, 6200, 269, 5952, 274, 6872, 2008, 347, 5379, 269, 2641, 4846, 547, 7273, 10227, 6200, 269, 279, 4037, 8618, 2008, 347, 5379, 269, 2420, 4846, 547, 7273, 10227, 6200, 269, 8660, 278, 5780, 2008, 347, 5379, 269, 2537, 4846, 547, 7273, 10227, 6200, 269, 280, 866, 3583, 2008, 347, 5379, 269, 2190, 4846, 547, 7273, 10227, 6200, 269, 280, 6078, 4037, 2008, 347, 5379, 269, 1839, 4846, 547, 7273, 10227, 6200, 269, 280, 8287, 3199, 2008, 347, 5379, 269, 2918, 4846, 547, 7273, 10227, 6200, 269, 280, 5952, 10019, 2008, 347, 5379, 269, 2767, 4846, 547, 7273, 10227, 9083, 269, 23669, 8660, 2008, 347, 5379, 269, 2764, 4846, 547, 7273, 10227, 9083, 269, 271, 3066, 11152, 2008, 347, 5379, 269, 3066, 4846, 547, 7273, 10227, 9083, 269, 4962, 272, 7176, 2008, 347, 5379, 269, 274, 4846, 547, 7273, 10227, 9083, 269, 5881, 275, 6734, 2008, 347, 5379, 269, 4029, 4846, 547, 7273, 10227, 9083, 269, 6021, 277, 5881, 2008, 347, 5379, 269, 3953, 4846, 547, 7273, 10227, 9083, 269, 14093, 1321, 2008, 347, 5379, 269, 3451, 4846, 547, 7273, 10227, 9083, 269, 9610, 1704, 2008, 347, 5379, 269, 4097, 4846, 547, 7273, 10227, 9083, 269, 14341, 2641, 2008, 347, 5379, 269, 3374, 4846, 547, 7273, 10227, 9083, 269, 7277, 2918, 2008, 347, 5379, 269, 3607, 4846, 547, 7273, 10227, 9083, 269, 18684, 1789, 2008, 347, 5379, 269, 4391, 4846, 547, 7273, 10227, 9083, 269, 25248, 3374, 2008, 347, 5379, 269, 4343, 4846, 547, 7273, 10227, 9083, 269, 7742, 2412, 2008, 347, 5379, 269, 4375, 4846, 547, 7273, 10227, 9083, 269, 26604, 4510, 2008, 347, 5379, 269, 275, 4846, 547, 7273, 10227, 9083, 269, 29848, 5392, 2008, 347, 5379, 269, 6078, 4846, 547, 7273, 10227, 9083, 269, 22332, 7918, 2008, 347, 5379, 269, 5655, 4846, 547, 7273, 10227, 9083, 269, 24783, 6812, 2008, 347, 5379, 269, 6246, 4846, 547, 7273, 10227, 9083, 269, 11740, 8287, 2008, 347, 5379, 269, 4510, 4846, 547, 7273, 10227, 9083, 269, 4343, 273, 6858, 2008, 347, 5379, 269, 3393, 4846, 547, 7273, 10227, 9083, 269, 29024, 7761, 2008, 347, 5379, 269, 5379, 4846, 547, 7273, 10227, 9083, 269, 275, 2918, 6507, 2008, 347, 5379, 269, 5325, 4846, 547, 7273, 10227, 9083, 269, 275, 4366, 10037, 2008, 347, 5379, 269, 4366, 4846, 547, 7273, 10227, 9083, 269, 30420, 10436, 2008, 347, 5379, 269, 5392, 4846, 547, 7273, 10227, 9083, 269, 5392, 273, 11011, 2008, 347, 5379, 269, 276, 4846, 547, 7273, 10227, 9083, 269, 276, 1691, 4817, 2008, 347, 5379, 269, 7906, 4846, 547, 7273, 10227, 9083, 269, 276, 4391, 876, 2008, 347, 5379, 269, 7367, 4846, 547, 7273, 10227, 9083, 269, 4649, 280, 6860, 2008, 347, 5379, 269, 7871, 4846, 547, 7273, 10227, 9083, 269, 6812, 272, 6021, 2008, 347, 5379, 269, 7918, 4846, 547, 7273, 10227, 9083, 269, 2568, 274, 1691, 2008, 347, 5379, 269, 4649, 4846, 547, 7273, 10227, 9083, 269, 27698, 1240, 2008, 347, 5379, 269, 6321, 4846, 547, 7273, 10227, 9083, 269, 5038, 278, 2537, 2008, 347, 5379, 269, 6872, 4846, 547, 7273, 10227, 9083, 269, 5780, 280, 2764, 2008, 347, 5379, 269, 6812, 4846, 547, 7273, 10227, 9083, 269, 7597, 272, 3953, 2008, 347, 5379, 269, 6795, 4846, 547, 7273, 10227, 9083, 269, 278, 1724, 4391, 2008, 347, 5379, 269, 277, 4846, 547, 7273, 10227, 9083, 269, 278, 3374, 6078, 2008, 347, 5379, 269, 8618, 4846, 547, 7273, 10227, 9083, 269, 4037, 278, 5379, 2008, 347, 5379, 269, 7830, 4846, 547, 7273, 10227, 9083, 269, 6507, 280, 7906, 2008, 347, 5379, 269, 8287, 4846, 547, 7273, 10227, 9083, 269, 3199, 272, 4649, 2008, 347, 5379, 269, 5038, 4846, 547, 7273, 10227, 9083, 269, 279, 2537, 2568, 2008, 347, 5379, 269, 4792, 4846, 547, 7273, 10227, 9083, 269, 279, 3393, 4792, 2008, 347, 5379, 269, 5780, 4846, 547, 7273, 10227, 9083, 269, 279, 6858, 7597, 2008, 347, 5379, 269, 6858, 4846, 547, 7273, 10227, 9083, 269, 6434, 280, 10619, 2008, 347, 5379, 269, 6924, 4846, 547, 7273, 10227, 9083, 269, 26605, 4281, 2008, 347, 5379, 269, 7597, 4846, 547, 7273, 10227, 9083, 269, 280, 3451, 10695, 2008, 347, 5379, 269, 278, 4846, 547, 7273, 10227, 9083, 269, 280, 4649, 6434, 2008, 347, 5379, 269, 10170, 4846, 547, 7273, 10227, 9083, 269, 280, 6507, 10844, 2008, 347, 5379, 269, 7761, 4846, 547, 7273, 10227, 9083, 269, 15886, 9032, 2008, 347, 5379, 269, 10463, 4846, 547, 7273, 10227, 9818, 269, 28873, 6349, 2008, 347, 5379, 269, 10619, 4846, 547, 7273, 10227, 9818, 269, 271, 4510, 6187, 2008, 347, 5379, 269, 4037, 4846, 547, 7273, 10227, 9818, 269, 271, 5780, 1556, 2008, 347, 5379, 269, 10602, 4846, 547, 7273, 10227, 9818, 269, 5400, 279, 1428, 2008, 347, 5379, 269, 6507, 4846, 547, 7273, 10227, 9818, 269, 8099, 736, 2008, 347, 5379, 269, 4281, 4846, 547, 7273, 10227, 9818, 269, 15171, 1839, 2008, 347, 5379, 269, 8064, 4846, 547, 7273, 10227, 9818, 269, 15150, 3066, 2008, 347, 5379, 269, 279, 4846, 547, 7273, 10227, 9818, 269, 12293, 4097, 2008, 347, 5379, 269, 10037, 4846, 547, 7273, 10227, 9818, 269, 2735, 4343, 2008, 347, 5379, 269, 11025, 4846, 547, 7273, 10227, 9818, 269, 13136, 6246, 2008, 347, 5379, 269, 10695, 4846, 547, 7273, 10227, 9818, 269, 26237, 4366, 2008, 347, 5379, 269, 10019, 4846, 547, 7273, 10227, 9818, 269, 25784, 7367, 2008, 347, 5379, 269, 5952, 4846, 547, 7273, 10227, 9818, 269, 30525, 6872, 2008, 347, 5379, 269, 10436, 4846, 547, 7273, 10227, 9818, 269, 28143, 7830, 2008, 347, 5379, 269, 9262, 4846, 547, 7273, 10227, 9818, 269, 20065, 5780, 2008, 347, 5379, 269, 6434, 4846, 547, 7273, 10227, 9818, 269, 31134, 10170, 2008, 347, 5379, 269, 8660, 4846, 547, 7273, 10227, 9818, 269, 4391, 275, 4037, 2008, 347, 5379, 269, 280, 4846, 547, 7273, 10227, 9818, 269, 31256, 3199, 2008, 347, 5379, 269, 11011, 4846, 547, 7273, 10227, 9818, 269, 275, 1240, 5952, 2008, 347, 5379, 269, 10844, 4846, 547, 7273, 10227, 9818, 269, 24496, 8660, 2008, 347, 5379, 269, 11152, 4846, 547, 7273, 10227, 9818, 269, 5379, 273, 11463, 2008, 347, 5379, 269, 11463, 4846, 547, 7273, 10227, 9818, 269, 4366, 275, 4200, 2008, 347, 5379, 269, 4817, 4846, 547, 7273, 10227, 9818, 269, 2004, 278, 6734, 2008, 347, 5379, 269, 9834, 4846, 547, 7273, 10227, 9818, 269, 276, 3066, 5400, 2008, 347, 5379, 269, 9032, 4846, 547, 7273, 10227, 9818, 269, 4649, 272, 1321, 2008, 347, 5379, 269, 7176, 4846, 547, 7273, 10227, 9818, 269, 6872, 274, 1704, 2008, 347, 5379, 269, 4200, 4846, 547, 7273, 10227, 9818, 269, 276, 4817, 2420, 2008, 347, 5325, 4846, 547, 7273, 10227, 9818, 269, 277, 1704, 2918, 347, 0, 15371, 596, 2461, 11842, 1018, 968, 8234, 543, 9716, 892, 568, 610, 952, 596, 2461, 5461, 538, 2870, 1454, 8902, 6208, 267, 3136, 2542, 547, 1451, 1018, 1072, 543, 9716, 2965, 568, 269, 2657, 568, 3989, 676, 519, 2622, 25682, 7577, 607, 968, 320, 1533, 540, 2698, 2168, 267, 2790, 267, 607, 1134, 607, 1514, 9716, 267, 543, 849, 519, 3668, 540, 4576, 610, 1102, 3305, 640, 1848, 1717, 1018, 568, 621, 286, 634, 31248, 25682, 7577, 779, 7664, 540, 1072, 543, 9716, 3884, 1406, 519, 1152, 835, 596, 11129, 547, 581, 31235, 609, 269, 3502, 539, 2630, 616, 513, 1906, 824, 12496, 269, 1403, 596, 17329, 713, 2328, 5346, 543, 596, 1131, 899, 547, 1205, 1454, 811, 1344, 7282, 4179, 2517, 14976, 332, 5174, 8421, 2593, 270, 24963, 3247, 676, 938, 3896, 563, 11039, 1145, 568, 513, 1533, 540, 2698, 2168, 267, 2790, 543, 849, 1514, 1134, 5630, 454, 6097, 547, 519, 31248, 2657, 9257, 267, 1072, 543, 9716, 568, 519, 1533, 540, 2347, 2168, 267, 5626, 267, 543, 1514, 1072, 5272, 1480, 1373, 568, 11727, 547, 12492, 519, 6574, 15164, 9716, 10421, 269, 26472, 713, 1533, 540, 1072, 5673, 593, 513, 1297, 540, 2609, 267, 1896, 540, 799, 616, 1367, 3681, 607, 1134, 607, 1866, 616, 7293, 269, 12989, 616, 930, 540, 891, 4632, 269, 5903, 539, 1934, 616, 513, 1906, 540, 519, 1034, 2629, 563, 31714, 609, 1114, 23043, 607, 1134, 607, 10770, 2175, 1522, 4585, 9716, 538, 513, 1585, 1259, 269, 4658, 609, 13560, 4524, 267, 585, 3236, 267, 1522, 14574, 1072, 8335, 982, 18825, 1510, 269, 589, 8004, 609, 13560, 6794, 1522, 14574, 1072, 543, 9716, 607, 8013, 10977, 267, 2348, 513, 851, 6066, 960, 693, 513, 10977, 7535, 267, 543, 2921, 851, 538, 1514, 10618, 269, 2201, 519, 824, 1688, 267, 513, 1164, 1153, 19829, 609, 17299, 1966, 1522, 2070, 1072, 607, 513, 1267, 540, 2921, 3075, 563, 763, 31248, 25682, 9257, 11225, 9716, 607, 513, 968, 25899, 602, 3091, 513, 1268, 609, 519, 2081, 547, 2661, 513, 2347, 267, 14785, 1272, 1848, 19452, 267, 3744, 538, 634, 31102, 4760, 723, 2965, 14648, 1072, 607, 519, 4390, 547, 6023, 2242, 538, 519, 1604, 543, 849, 6216, 20642, 4220, 269, 634, 602, 4214, 568, 5393, 15458, 267, 543, 849, 621, 1281, 711, 2709, 519, 4357, 519, 4960, 547, 14574, 741, 1378, 9716, 269, 898, 568, 606, 1898, 1523, 538, 519, 2413, 1158, 267, 2705, 835, 602, 7125, 585, 811, 1344, 563, 2005, 568, 513, 1533, 540, 2347, 2168, 267, 2790, 607, 1134, 607, 1514, 1072, 563, 2026, 519, 2622, 2657, 7577, 6941, 267, 1072, 543, 9716, 568, 513, 1533, 540, 2347, 2168, 267, 5626, 267, 607, 1134, 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 ]
[ 0, 4504, 22004, 538, 476, 1960, 280, 267, 519, 476, 273, 269, 275, 717, 13703, 15261, 19712, 2443, 610, 20959, 3044, 476, 26764, 269, 1556, 321, 2443, 814, 1044, 519, 979, 3562, 585, 1753, 946, 267, 609, 1256, 2413, 12242, 543, 17784, 1532, 663, 31425, 1869, 8876, 621, 4464, 547, 713, 1554, 630, 704, 8416, 2622, 1040, 634, 476, 273, 269, 275, 717, 13703, 3044, 814, 2938, 513, 1297, 540, 26941, 936, 519, 1296, 282, 5555, 10678, 909, 607, 476, 26764, 269, 1556, 326, 267, 610, 15261, 19712, 476, 274, 267, 799, 9450, 547, 519, 4908, 2039, 540, 476, 273, 269, 275, 717, 13703, 267, 3850, 621, 547, 3914, 3152, 11250, 543, 27985, 2759, 1524, 593, 13779, 1063, 9055, 563, 2026, 519, 2012, 5267, 267, 621, 3096, 9055, 538, 519, 476, 273, 269, 275, 717, 13703, 4908, 267, 4481, 538, 519, 476, 13301, 272, 547, 476, 27149, 276, 631, 13703, 2039, 269, 13575, 6340, 267, 476, 273, 269, 275, 717, 13703, 15261, 19712, 814, 1569, 547, 476, 1691, 9055, 609, 20718, 4908, 9832, 267, 543, 25568, 856, 693, 476, 7918, 19251, 629, 1080, 829, 2034, 11250, 2443, 1472, 476, 277, 269, 4037, 19251, 17879, 5052, 829, 2034, 269, 2755, 519, 3432, 1522, 711, 581, 4376, 547, 2328, 1753, 827, 267, 621, 779, 6157, 7850, 585, 1034, 2596, 1753, 946, 2665, 269, 634, 2039, 540, 476, 273, 269, 275, 717, 13703, 15261, 19712, 666, 9765, 476, 5611, 3952, 267, 2687, 547, 21942, 8668, 27872, 267, 1818, 621, 513, 1390, 4781, 585, 1970, 1532, 663, 12296, 543, 1279, 24365, 3156, 269, 0, 1492, 7044, 5795, 803, 930, 2093, 827, 519, 3390, 540, 2916, 1689, 454, 5416, 264, 1018, 568, 1634, 827, 513, 1888, 912, 1492, 2360, 540, 2916, 1689, 593, 8103, 543, 519, 4541, 693, 1804, 267, 1164, 2837, 267, 10980, 543, 17160, 547, 2012, 855, 513, 1906, 563, 6357, 264, 1018, 568, 711, 2943, 1634, 827, 513, 1888, 888, 14808, 1005, 856, 4264, 2081, 540, 7231, 609, 2916, 1689, 538, 513, 1158, 602, 568, 7683, 3395, 799, 1797, 649, 666, 711, 2731, 3247, 3257, 1978, 2238, 799, 1860, 519, 4541, 2943, 789, 1764, 621, 7494, 563, 8196, 891, 7044, 547, 2689, 1018, 568, 4867, 3769, 538, 707, 23140, 20081, 309, 4953, 1641, 21195, 593, 2916, 1689, 538, 7013, 4000, 267, 1018, 568, 7508, 267, 543, 875, 596, 666, 2689, 707, 6437, 547, 2087, 621, 454, 11004, 568, 513, 3395, 991, 547, 13416, 6940, 15961, 538, 938, 6437, 547, 13599, 6267, 827, 2916, 1689, 543, 824, 2825, 2152, 269, 0, 1103, 19220, 540, 7521, 609, 14621, 547, 519, 27299, 540, 7881, 268, 616, 789, 2067, 610, 616, 789, 4121, 267, 616, 789, 2696, 3766, 1508, 267, 610, 616, 789, 812, 18478, 10953, 1107, 519, 1259, 602, 7881, 616, 11720, 6804, 547, 1004, 13978, 796, 4186, 6479, 269, 5994, 513, 4641, 1141, 649, 1810, 1406, 723, 5683, 5615, 9013, 721, 269, 769, 971, 513, 1158, 267, 1018, 568, 547, 2061, 721, 689, 11318, 835, 1776, 267, 2469, 607, 2484, 607, 547, 7903, 30768, 1055, 519, 3665, 6316, 540, 9552, 286, 9320, 602, 568, 606, 30891, 748, 3510, 267, 2705, 5683, 21437, 723, 7152, 547, 581, 2629, 547, 30768, 267, 543, 519, 8840, 540, 519, 1767, 4020, 814, 4749, 4547, 827, 3978, 2164, 563, 3086, 519, 1641, 540, 799, 5837, 3009, 11129, 547, 581, 9787, 539, 1590, 581, 9619, 269, 594, 1131, 711, 2015, 3909, 267, 5683, 9479, 585, 519, 3551, 7778, 602, 789, 616, 1585, 543, 616, 4749, 3622, 19034, 547, 519, 13794, 540, 519, 10764, 789, 22132, 689, 269, 1280, 713, 2601, 267, 585, 713, 1957, 267, 594, 786, 2709, 606, 14021, 4879, 540, 519, 3351, 9107, 1259, 547, 4308, 609, 7881, 269, 594, 786, 7620, 2285, 606, 2272, 540, 519, 3069, 779, 23381, 267, 607, 3262, 856, 676, 22819, 3240, 28564, 5069, 267, 519, 4651, 540, 7780, 4106, 31791, 267, 543, 3627, 26573, 7085, 269, 594, 786, 267, 693, 602, 1448, 267, 5659, 6069, 2152, 609, 7780, 4106, 31791, 269, 2311, 2063, 267, 594, 1131, 2708, 519, 1455, 2631, 540, 519, 3069, 267, 6236, 519, 5383, 543, 11393, 621, 814, 563, 4263, 519, 4295, 540, 519, 6240, 540, 10626, 568, 519, 3044, 602, 649, 11129, 547, 2824, 547, 2347, 2238, 267, 799, 6556, 519, 1034, 8788, 282, 971, 2238, 616, 9228, 607, 1318, 269, 6684, 267, 2238, 602, 3132, 1945, 14669, 547, 8788, 11129, 547, 581, 6854, 2476, 689, 282, 891, 2238, 616, 9228, 607, 4636, 269, 6270, 513, 1259, 547, 4308, 609, 7881, 568, 3964, 538, 519, 7872, 602, 1928, 543, 12257, 8263, 513, 1713, 2816, 538, 519, 2729, 540, 812, 267, 7487, 607, 649, 1413, 585, 12257, 543, 2226, 513, 7580, 3845, 689, 519, 1928, 269, 634, 23988, 540, 10626, 6212, 593, 2870, 1390, 8788, 585, 519, 2146, 621, 10039, 547, 269, 7780, 4106, 31791, 11338, 2712, 2471, 721, 547, 1589, 827, 519, 2179, 540, 8788, 267, 2943, 538, 1840, 547, 519, 2298, 269, 1284, 1058, 3406, 856, 811, 1713, 2157, 540, 8788, 563, 2026, 2484, 607, 519, 10421, 540, 3351, 9107, 3741, 267, 7085, 733, 1742, 602, 519, 4441, 540, 519, 5683, 1062, 666, 581, 24451, 3274, 899, 1346, 540, 1114, 1949, 630, 335, 269, 476, 5379, 280, 1040, 7085, 20475, 602, 3330, 543, 9018, 2994, 540, 11268, 666, 581, 8246, 547, 10018, 519, 24150, 540, 519, 3652, 269, 18378, 17997, 906, 4383, 519, 1427, 9084, 11880, 1243, 676, 519, 25903, 540, 606, 1367, 950, 646, 24172, 862, 1080, 513, 4636, 338, 2534, 267, 8236, 1928, 593, 2272, 540, 7780, 4106, 31791, 267, 1247, 5007, 17997, 906, 616, 1346, 11880, 1243, 676, 519, 2486, 267, 610, 513, 2362, 1379, 563, 1103, 4334, 547, 519, 1034, 5683, 1062, 267, 7780, 4106, 31791, 3085, 1406, 11307, 2954, 1331, 513, 5601, 610, 18678, 1373, 538, 922, 5943, 269, 14171, 883, 2272, 602, 621, 729, 2813, 538, 519, 476, 1240, 628, 2540, 267, 950, 3661, 538, 267, 543, 10847, 547, 519, 7225, 324, 334, 268, 22146, 2696, 729, 24215, 18476, 538, 2342, 267, 519, 1259, 602, 519, 23988, 540, 10626, 4769, 1406, 2099, 2696, 267, 1500, 606, 3390, 269, 7780, 4106, 31791, 729, 4749, 30199, 585, 1373, 606, 2048, 7752, 626, 685, 11460, 540, 7881, 269, 16480, 267, 607, 7085, 4547, 909, 267, 2016, 519, 24235, 602, 2696, 2115, 1018, 568, 1655, 585, 30768, 267, 543, 602, 2696, 2115, 721, 547, 581, 19914, 267, 7780, 4106, 31791, 568, 2731, 519, 5601, 31586, 11460, 540, 7881, 972, 568, 269, 634, 4661, 540, 2436, 7780, 4106, 31791, 568, 9758, 610, 711, 5673, 593, 519, 2856, 540, 2696, 267, 607, 2484, 607, 1018, 646, 14659, 827, 1434, 267, 2943, 649, 1810, 1406, 723, 513, 23319, 827, 519, 2856, 540, 2696, 267, 865, 7780, 4106, 31791, 666, 1406, 581, 5963, 3954, 6407, 1373, 796, 326, 617, 569, 269, 14755, 267, 7487, 1919, 689, 519, 4168, 5133, 267, 7780, 4106, 31791, 568, 538, 519, 1463, 1620, 540, 519, 1292, 6240, 540, 4906, 2441, 282, 1521, 1866, 519, 6073, 538, 799, 596, 1522, 1616, 547, 581, 18808, 609, 269, 9747, 267, 607, 621, 941, 267, 7780, 4106, 31791, 6589, 585, 2696, 267, 519, 7225, 324, 334, 268, 22146, 2696, 267, 693, 2547, 563, 7712, 594, 723, 2016, 513, 2110, 5618, 540, 519, 1883, 4555, 540, 7780, 4106, 31791, 267, 594, 786, 2232, 513, 1906, 30852, 540, 621, 269, 2368, 949, 25077, 602, 519, 6240, 779, 3007, 593, 519, 2146, 10522, 602, 621, 3085, 1406, 2232, 519, 1268, 779, 7772, 269, 769, 1022, 2013, 267, 22819, 3240, 2934, 602, 519, 2146, 568, 16922, 540, 1004, 269, 4475, 267, 519, 1062, 9607, 519, 1268, 779, 9547, 267, 607, 1279, 607, 1018, 6799, 547, 1864, 17017, 8788, 1281, 11338, 585, 1034, 540, 519, 2146, 563, 5194, 9880, 7125, 3007, 547, 602, 972, 568, 1100, 1483, 1259, 547, 2268, 12257, 543, 1928, 269, 4475, 649, 666, 1406, 917, 2436, 606, 2962, 6770, 3132, 811, 12257, 982, 1928, 269, 661, 12171, 2961, 761, 339, 23380, 919, 713, 676, 15738, 856, 602, 1247, 649, 786, 1034, 2693, 581, 8572, 547, 2268, 8788, 6310, 267, 649, 666, 15069, 7747, 267, 9488, 6514, 267, 799, 3527, 3142, 811, 8788, 269, 901, 11064, 540, 7780, 4106, 31791, 568, 17396, 267, 543, 649, 1810, 1406, 723, 547, 22945, 1928, 543, 8788, 267, 2094, 8380, 513, 4137, 540, 2179, 593, 873, 3085, 1406, 1118, 513, 3017, 538, 7780, 4106, 31791, 269, 634, 1152, 3364, 602, 568, 538, 1022, 1259, 1271, 568, 602, 8788, 29387, 338, 519, 1928, 563, 1103, 7681, 609, 519, 2250, 2079, 267, 649, 666, 1294, 607, 547, 875, 649, 1131, 8275, 799, 3527, 1131, 5838, 519, 1655, 10703, 22133, 8788, 282, 1310, 782, 267, 649, 666, 1406, 1294, 519, 1267, 540, 3527, 1354, 649, 3479, 621, 269, 1677, 713, 2243, 267, 2961, 761, 339, 15565, 602, 649, 666, 8415, 4555, 540, 1018, 25389, 721, 547, 3442, 1018, 1522, 14183, 1866, 269, 1261, 3947, 513, 2013, 540, 713, 282, 593, 519, 1055, 4960, 602, 649, 3398, 982, 3694, 568, 811, 2838, 982, 25888, 267, 649, 1131, 581, 20582, 952, 649, 1683, 519, 5182, 1324, 609, 3694, 1354, 519, 25888, 269, 594, 1589, 713, 7954, 568, 3622, 4998, 267, 855, 1018, 952, 2576, 941, 547, 723, 513, 2864, 25302, 2070, 540, 8788, 267, 1058, 789, 1287, 946, 741, 2093, 540, 8788, 547, 9794, 1018, 1131, 3142, 8788, 547, 1866, 286, 16792, 3283, 4743, 540, 8788, 547, 1866, 949, 711, 3622, 960, 543, 949, 11338, 581, 5906, 267, 593, 2272, 540, 2618, 13771, 338, 267, 585, 3236, 269, 0, 763, 4890, 4214, 540, 513, 855, 7815, 538, 519, 8675, 568, 606, 967, 4593, 3234, 3729, 610, 22266, 15294, 19907, 267, 2576, 945, 5260, 720, 569, 15294, 619, 1510, 2601, 269, 1809, 519, 2165, 855, 7815, 3112, 581, 2322, 2390, 16077, 607, 3274, 607, 602, 269, 16077, 568, 513, 1950, 543, 30137, 1915, 543, 1082, 1919, 646, 1281, 610, 3081, 538, 519, 1404, 979, 1996, 519, 2165, 855, 7815, 269, 1280, 1383, 267, 519, 4484, 646, 15920, 1010, 7385, 269, 898, 2982, 1010, 2648, 543, 2463, 585, 15248, 16077, 269, 769, 1840, 267, 693, 519, 1376, 540, 519, 1404, 267, 30338, 4016, 547, 1864, 607, 32201, 16077, 269, 30338, 543, 1010, 15626, 2367, 723, 1164, 8369, 540, 1864, 563, 4913, 267, 972, 568, 849, 513, 2603, 540, 2963, 602, 3081, 16077, 568, 513, 4411, 15918, 797, 539, 631, 6324, 19907, 269, 9956, 814, 16077, 6146, 15248, 5839, 706, 742, 543, 1200, 1126, 585, 1100, 2601, 267, 950, 2021, 543, 1453, 616, 2219, 519, 1034, 17608, 540, 782, 1004, 269, 2311, 519, 1376, 540, 519, 1404, 267, 519, 26734, 267, 945, 616, 18931, 607, 9409, 543, 16750, 267, 2446, 16077, 338, 2012, 563, 1607, 13497, 6402, 16077, 547, 9409, 543, 568, 513, 3926, 1031, 676, 9956, 547, 1397, 513, 2631, 540, 2062, 321, 5317, 4478, 16077, 269, 898, 6645, 519, 5304, 547, 4585, 856, 585, 1864, 269, 634, 2165, 1031, 676, 519, 26734, 267, 4023, 568, 28067, 543, 28067, 568, 4023, 267, 666, 581, 1031, 1934, 269, 16077, 568, 2219, 540, 607, 15626, 267, 855, 15626, 1004, 666, 2490, 9409, 269, 898, 3762, 519, 5304, 11821, 689, 519, 1360, 1101, 10207, 269, 589, 5626, 11144, 666, 581, 2938, 267, 689, 12703, 16077, 630, 8002, 476, 272, 267, 6429, 476, 272, 267, 1899, 476, 1626, 264, 547, 4666, 855, 7815, 630, 8002, 476, 276, 267, 6429, 476, 280, 267, 1899, 476, 3607, 1916, 21547, 10106, 568, 519, 1292, 1915, 540, 519, 1404, 865, 513, 2603, 568, 1634, 827, 1864, 267, 1519, 267, 513, 2603, 540, 519, 942, 267, 1018, 646, 568, 3206, 610, 4743, 269, 4634, 1498, 646, 568, 519, 5636, 664, 538, 519, 1404, 972, 616, 1919, 519, 5304, 1294, 610, 5469, 799, 949, 1689, 741, 6644, 540, 1864, 269, 1280, 1383, 267, 538, 957, 476, 272, 267, 6429, 476, 278, 649, 666, 1294, 602, 16077, 568, 18516, 827, 2469, 998, 609, 519, 12638, 540, 519, 4622, 269, 1261, 15055, 519, 4622, 543, 568, 15069, 4466, 621, 2182, 547, 979, 1996, 30338, 267, 945, 3972, 338, 16077, 563, 8002, 476, 272, 267, 6429, 476, 278, 267, 1899, 476, 1724, 454, 5575, 267, 607, 594, 993, 1010, 737, 1231, 2006, 543, 1010, 1641, 2676, 22935, 3973, 267, 607, 1010, 3984, 2676, 8005, 1058, 1996, 1010, 15294, 19907, 9505, 519, 7450, 2676, 8253, 7703, 519, 17180, 8885, 2336, 21547, 10106, 1869, 814, 513, 25903, 693, 713, 3942, 543, 568, 1373, 7142 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1692, 666, 513, 26733, 781, 4542, 581, 5462, 689, 922, 2527, 630, 332, 270, 345, 264, 1871, 888, 268, 25169, 574, 16679, 454, 15916, 267, 594, 1616, 547, 4137, 856, 519, 28811, 1587, 540, 513, 26733, 630, 332, 9884, 12727, 3436, 12573, 271, 26895, 594, 1705, 606, 31446, 5336, 306, 2079, 543, 3893, 513, 1906, 28811, 2472, 630, 2908, 2527, 1040, 1215, 666, 649, 1205, 519, 4542, 610, 5311, 540, 602, 28811, 26733, 689, 922, 2527, 630, 332, 270, 345, 21663, 7490, 2671, 1022, 2228, 2645, 610, 2326, 602, 786, 581, 5363, 563, 7617, 3301, 666, 581, 1031, 547, 4729, 7193, 288, 267, 623, 11862, 5937, 288, 543, 20525, 11862, 5937, 288, 1239, 888, 268, 19869, 592, 1234, 327, 2006, 454, 8923, 2303, 803, 3617, 3301, 610, 824, 2707, 563, 1432, 1281, 621, 1611, 547, 979, 2047, 689, 834, 8974, 2689, 257, 547, 834, 1372, 17800, 538, 1184, 257, 888, 268, 15887, 328, 26396, 454, 1432, 1281, 621, 1611, 547, 979, 2047, 689, 834, 8974, 2689, 257, 547, 834, 1372, 17800, 538, 1184, 257, 888, 8138, 4784, 547, 4760, 955, 263, 12898, 476, 274, 1554, 264, 734, 15010, 5976, 15503, 955, 263, 338, 877, 1554, 264, 734, 285, 8974, 2689, 955, 24179, 12898, 476, 1626, 2395, 264, 734, 285, 1372, 17800, 538, 1184, 563, 1432, 1281, 519, 4567, 689, 2838, 8039, 6192, 1394, 547, 9375, 8655, 6920, 888, 268, 15011, 323, 1744, 926, 336, 454, 296, 723, 11643, 1250, 1957, 547, 835, 540, 519, 5614, 518, 4760, 269, 1280, 519, 1101, 3018, 540, 19169, 267, 519, 4567, 729, 834, 5976, 9375, 257, 543, 1287, 621, 4957, 547, 896, 2689, 585, 835, 3018, 267, 1287, 2689, 619, 607, 11220, 585, 519, 1985, 1079, 2395, 1287, 1586, 4957, 547, 896, 2689, 585, 476, 1015, 2395, 1287, 6368, 547, 834, 7528, 1600, 8039, 6192, 2668, 634, 4567, 8039, 6192, 729, 585, 835, 3018, 543, 1287, 621, 4957, 547, 609, 9375, 1586, 585, 2063, 476, 1015, 2395, 269, 3767, 1250, 2243, 568, 952, 621, 568, 18349, 1287, 519, 9375, 1131, 5612, 6494, 519, 18349, 4484, 269, 4208, 519, 9375, 568, 2921, 942, 547, 6430, 286, 1772, 621, 513, 1434, 1129, 610, 513, 3983, 835, 286, 888, 3674, 621, 3020, 602, 631, 7894, 296, 13746, 616, 2392, 2218, 888, 268, 12390, 534, 670, 28045, 19869, 7232, 331, 327, 2378, 2465, 345, 454, 296, 9364, 899, 547, 1451, 811, 827, 519, 631, 7894, 296, 4760, 563, 3674, 24455, 917, 519, 16595, 13629, 2480, 22455, 270, 590, 5746, 12039, 532, 4750, 781, 7790, 888, 268, 8496, 6409, 27958, 454, 296, 1616, 547, 917, 519, 2480, 22455, 610, 590, 5746, 13746, 585, 5122, 543, 11418, 7177, 267, 799, 1683, 513, 3728, 2689, 1184, 1510, 513, 13629, 13927, 269, 7790, 888, 1692, 1454, 942, 1281, 621, 1491, 585, 3803, 1944, 513, 3375, 827, 606, 2376, 1310, 519, 2689, 568, 6192, 888, 268, 772, 3405, 631, 269, 3525, 756, 2692, 454, 12179, 2376, 11643, 547, 1022, 4760, 4422, 896, 2689, 952, 1336, 5078, 543, 1369, 519, 9165, 540, 602, 4760, 269, 1717, 267, 1310, 2689, 619, 6192, 741, 10467, 267, 519, 4589, 798, 4431, 547, 14511, 6659, 676, 971, 2689, 619, 267, 621, 1223, 581, 2899, 610, 513, 3126, 540, 2689, 518, 27236, 6114, 269, 7053, 267, 519, 9375, 538, 12751, 3803, 3278, 519, 3375, 269, 769, 29021, 267, 3226, 267, 1354, 713, 4523, 267, 519, 4567, 540, 519, 2376, 2982, 17423, 538, 6713, 269, 3733, 2243, 568, 875, 1279, 1281, 621, 1491, 585, 713, 4567, 547, 1689, 896, 606, 4998, 3510, 286, 1656, 1403, 621, 3576, 811, 982, 519, 4397, 942, 267, 1018, 1058, 519, 7222, 2278, 4433, 264, 15475, 547, 798, 888, 296, 4126, 547, 1205, 3280, 543, 20310, 6114, 689, 900, 5799, 3173, 543, 15769, 2066, 519, 3760, 563, 300, 12089, 30654, 610, 5564, 850, 767, 9781, 888, 268, 6931, 933, 328, 1261, 454, 17098, 3025, 267, 594, 6415, 2348, 930, 2055, 827, 7446, 519, 1318, 1449, 585, 1250, 4603, 543, 594, 4126, 594, 666, 1265, 948, 1934, 2336, 2080, 616, 519, 5468, 540, 519, 4603, 912, 272, 269, 5171, 616, 14477, 8655, 547, 2901, 519, 8097, 610, 1852, 1895, 563, 273, 269, 1287, 1312, 2516, 10929, 1079, 7886, 540, 2126, 630, 32355, 519, 8097, 2126, 610, 519, 1852, 2126, 1916, 274, 269, 4934, 2492, 4632, 630, 718, 6024, 264, 616, 6027, 7466, 281, 1310, 8400, 476, 272, 543, 1310, 8400, 476, 273, 563, 7069, 1382, 2055, 912, 305, 304, 272, 281, 2436, 519, 4093, 616, 1732, 585, 519, 8097, 1895, 982, 519, 1852, 2516, 286, 630, 810, 519, 1292, 1198, 540, 2516, 994, 305, 304, 273, 281, 2436, 972, 616, 2242, 936, 519, 1079, 7886, 267, 543, 2436, 519, 1689, 568, 1114, 585, 1312, 2516, 286, 630, 810, 519, 1292, 1198, 540, 942, 543, 519, 5872, 1063, 942, 543, 1895, 994, 296, 1101, 1904, 539, 585, 513, 6404, 30654, 2094, 713, 568, 513, 2241, 1063, 2914, 603, 514, 1641, 1374, 269, 1809, 594, 849, 1224, 602, 1617, 850, 767, 8276, 12089, 9781, 568, 3622, 9053, 269, 594, 1810, 1405, 1294, 1018, 666, 581, 513, 4351, 1198, 538, 713, 1374, 607, 1134, 630, 921, 848, 2953, 803, 952, 972, 568, 513, 4351, 1198, 26695, 17798, 267, 799, 835, 1058, 594, 3442, 585, 1250, 960, 888, 12552, 513, 2603, 256, 2336, 2171, 1353, 519, 5872, 540, 513, 1970, 2173, 817, 4541, 609, 513, 1486, 26979, 8767, 12210, 609, 513, 10853, 2126, 540, 519, 1648, 3666, 676, 3257, 5982, 31622, 16967, 3428, 673, 13502, 269, 1284, 1413, 693, 934, 4958, 542, 543, 9194, 3928, 543, 5635, 873, 547, 568, 18540, 2090, 269, 1284, 1031, 513, 1614, 8820, 4528, 540, 519, 8652, 323, 3428, 673, 1505, 681, 7495, 292, 302, 267, 1927, 609, 10237, 894, 17464, 2483, 763, 2175, 585, 519, 6090, 529, 543, 1646, 540, 10995, 1272, 593, 10785, 616, 8947, 1312, 538, 2474, 540, 17651, 543, 693, 519, 28772, 665, 12950, 1377, 269, 634, 5506, 540, 31373, 14111, 1272, 568, 6594, 267, 543, 519, 1966, 540, 9591, 2792, 609, 31373, 14111, 4987, 568, 5941, 609, 1880, 4704, 547, 519, 20676, 3591, 1982, 269, 0, 763, 13169, 568, 513, 1106, 540, 13989, 1141, 1004, 2628, 2724, 547, 723, 513, 4960, 693, 10888, 513, 16101, 269, 634, 16101, 568, 3335, 513, 1804, 2040, 540, 2724, 269, 20769, 23065, 616, 1419, 2196, 676, 1533, 6608, 267, 4352, 789, 949, 849, 581, 2196, 27352, 269, 2368, 1004, 723, 513, 2178, 19450, 7287, 547, 3094, 519, 13169, 269, 1358, 3494, 602, 952, 789, 4444, 2614, 17914, 267, 789, 786, 5555, 5734, 519, 13544, 13607, 269, 1358, 949, 1256, 979, 865, 2484, 607, 547, 723, 10839, 10595, 638, 1774, 1949, 602, 616, 4625, 4652, 15903, 676, 8579, 7744, 827, 799, 8637, 267, 2053, 540, 1554, 267, 543, 2010, 540, 17914, 789, 1058, 6718, 563, 763, 12918, 540, 10888, 519, 13169, 616, 7478, 558, 1227, 1970, 269, 1703, 616, 1454, 1732, 1919, 596, 666, 798, 609, 707, 2724, 269, 20769, 6670, 5716, 616, 1419, 561, 3293, 883, 9140, 17914, 676, 6811, 602, 789, 786, 10826, 741, 1072, 2042, 610, 1265, 3020, 2648, 269, 1452, 6811, 616, 6013, 267, 543, 519, 6426, 29808, 1996, 524, 913, 1154, 630, 31319, 27036, 770, 525, 476, 276, 281, 1015, 1916, 1103, 1840, 547, 519, 6654, 4220, 540, 10888, 267, 972, 616, 1082, 6456, 3790, 2404, 609, 13169, 4730, 269, 634, 1942, 540, 12180, 543, 5009, 519, 13169, 1590, 581, 20952, 539, 689, 519, 7535, 267, 543, 513, 6871, 540, 519, 16101, 2508, 568, 7363, 1305, 11735, 607, 19614, 543, 12434, 585, 519, 13384, 528, 610, 1533, 269, 901, 3762, 519, 23602, 609, 1152, 513, 1507, 6824, 540, 519, 2698, 16101, 2179, 563, 5278, 2829, 1305, 909, 513, 3454, 7721, 3319, 5748, 547, 4309, 519, 23131, 689, 519, 13169, 543, 1902, 873, 538, 1857, 1568, 3785, 269, 4033, 2829, 949, 946, 519, 7482, 547, 5818, 1514, 10304, 3292, 610, 2569, 4747, 9204, 269, 20769, 6670, 12434, 723, 1044, 513, 3407, 2707, 540, 8907, 585, 1082, 2829, 267, 3226, 1282, 519, 2022, 28131, 2782, 4083, 1974, 950, 519, 4346, 729, 3395, 6385, 543, 1533, 2229, 19614, 941, 2810, 563, 2026, 513, 1267, 267, 1082, 1004, 3136, 547, 6718, 13169, 17914, 269, 2368, 1404, 873, 593, 513, 2834, 4493, 267, 1247, 1866, 616, 1152, 17573, 18046, 269, 17859, 540, 741, 4908, 267, 782, 5716, 3565, 547, 519, 2450, 540, 519, 16101, 7535, 269, 634, 1966, 568, 602, 1082, 540, 519, 5716, 616, 7700, 17542, 538, 2062, 19079, 9806, 789, 1223, 723, 2322, 4724, 16468, 610, 2852, 24875, 563, 5194, 6161, 568, 602, 519, 2450, 540, 519, 26065, 814, 1044, 2810, 693, 606, 24034, 2557, 269, 901, 814, 1044, 3361, 676, 513, 3395, 1297, 540, 1004, 9140, 811, 17914, 267, 543, 513, 1804, 6871, 540, 1346, 17914, 616, 1373, 4421, 547, 1004, 945, 723, 2760, 4465, 1354, 269, 901, 568, 513, 1713, 2883, 1981, 585, 519, 13169, 2872, 563, 1103, 930, 2829, 267, 519, 16771, 568, 2016, 519, 3903, 540, 8391, 513, 26686, 2040, 610, 3045, 8462, 8569, 269, 634, 3045, 8462, 4781, 2488, 513, 3677, 2698, 2628, 719, 936, 942, 269, 6904, 4781, 568, 1655, 585, 596, 5673, 593, 707, 2123, 18083, 543, 519, 3652, 540, 707, 13169, 269, 901, 2376, 6941, 875, 519, 13169, 1568, 538, 513, 2241, 267, 13801, 1259, 602, 666, 581, 1031, 676, 3214, 1299, 12322, 267, 610, 676, 3237, 1299, 3610, 607, 851, 540, 513, 2883, 7924, 6437, 269, 4746, 2139, 607, 513, 7792, 7300, 269, 0, 2467, 814, 1044, 513, 2208, 540, 15961, 8716, 1762, 6690, 547, 2226, 741, 1719, 538, 13241, 4610, 269, 769, 17469, 543, 856, 6361, 17469, 3292, 616, 11543, 8560, 267, 543, 538, 1931, 585, 602, 547, 3136, 267, 1346, 538, 519, 13241, 4610, 723, 547, 1489, 1312, 2199, 543, 3084, 3646, 547, 6536, 6690, 269, 901, 568, 513, 1289, 602, 519, 3162, 3979, 8479, 9142, 540, 3163, 630, 6347, 312, 3008, 264, 4628, 7028, 563, 21413, 1620, 519, 3255, 602, 616, 2139, 547, 1053, 540, 2979, 543, 2257, 267, 1762, 2021, 949, 1589, 789, 723, 1500, 513, 12161, 950, 6849, 519, 2591, 540, 11264, 513, 13241, 2101, 269, 1703, 568, 849, 513, 8273, 991, 547, 1118, 519, 3163, 5396, 4143, 547, 1762, 1053, 543, 3015, 998, 4205, 593, 513, 2123, 1377, 563, 2005, 568, 585, 713, 2601, 602, 3220, 2961, 1228, 324, 19159, 267, 513, 28154, 26831, 538, 519, 5113, 1299, 2657, 3194, 5149, 693, 519, 3162, 3979, 6481, 3194, 7027, 2855, 5190, 585, 12207, 547, 2743, 609, 1762, 1053, 543, 3717, 540, 741, 2123, 2833, 267, 2648, 585, 3163, 543, 875, 741, 3163, 568, 4543, 2486, 269, 3220, 19159, 568, 606, 1325, 4379, 639, 540, 14408, 312, 3008, 563, 763, 5767, 3643, 22555, 676, 3220, 19159, 729, 547, 3525, 21105, 18520, 3427, 9457, 344, 3163, 11833, 1759, 538, 12821, 7304, 1678, 340, 11445, 593, 476, 4029, 5239, 267, 476, 1001, 277, 269, 901, 3643, 4718, 15516, 2098, 514, 327, 548, 631, 333, 322, 4209, 689, 2160, 540, 29312, 7921, 779, 4972, 540, 13898, 543, 15516, 4676, 559, 933, 918, 2967, 689, 519, 2160, 540, 31864, 31662, 8681, 3427, 540, 10960, 267, 7233, 543, 7025, 7070, 4497, 609, 519, 1053, 269, 1358, 1142, 5143, 519, 1650, 540, 741, 3460, 2094, 1153, 543, 875, 789, 3357, 547, 581, 3173, 538, 3078, 543, 4277, 6009, 269, 3220, 19159, 267, 19443, 676, 519, 1079, 10529, 267, 1287, 5645, 856, 513, 2489, 2257, 7688, 540, 476, 736, 2055, 543, 1142, 15226, 3246, 513, 2953, 2626, 4607, 2901, 513, 561, 1415, 731, 610, 513, 21641, 630, 718, 13381, 689, 3220, 19159, 779, 19014, 14386, 634, 2243, 602, 3893, 519, 13074, 23249, 1354, 606, 2626, 729, 267, 968, 1692, 1082, 7633, 1281, 513, 16356, 723, 538, 922, 1560, 9495, 1107, 519, 2626, 267, 968, 271, 892, 2336, 2026, 2021, 1831, 811, 11342, 538, 13241, 11678, 267, 811, 543, 811, 1762, 6690, 786, 2253, 547, 21028, 519, 3606, 4876, 3255, 1930, 547, 873, 269, 2060, 811, 2021, 538, 519, 2361, 267, 621, 786, 1831, 811, 10423, 547, 1762, 6690, 1018, 789, 666, 2709, 519, 1158, 269, 0, 5591, 267, 513, 2582, 476, 1911, 2914, 3430, 3859, 8470, 786, 711, 3132, 476, 1911, 26334, 540, 1379, 829, 5662, 269, 634, 2179, 540, 5201, 6383, 676, 513, 3859, 8470, 5673, 593, 1896, 2188, 267, 971, 607, 519, 2179, 540, 7943, 2139, 267, 519, 5086, 540, 519, 8470, 267, 519, 1826, 540, 20387, 1062, 1031, 267, 543, 519, 2179 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 3735, 476, 866, 628, 2540, 676, 8841, 268, 28846, 10067, 650, 517, 267, 519, 1225, 1807, 540, 7574, 7405, 693, 29761, 20271, 2218, 269, 10067, 650, 517, 5258, 7405, 883, 2185, 3376, 6688, 2687, 547, 519, 2470, 540, 519, 3280, 26148, 1570, 281, 606, 2011, 6241, 282, 5569, 282, 9245, 282, 543, 1560, 540, 519, 6293, 269, 3245, 713, 4493, 267, 24125, 321, 739, 601, 543, 590, 778, 338, 9450, 10067, 650, 517, 781, 1062, 547, 1118, 621, 2009, 547, 19665, 1022, 6293, 9992, 454, 1607, 2985, 568, 8850, 6383, 543, 949, 2270, 1344, 602, 568, 711, 2953, 267, 2347, 267, 909, 3562, 15082, 267, 610, 4143, 547, 707, 3406, 13214, 269, 634, 1482, 10039, 547, 1169, 824, 2985, 593, 713, 3896, 269, 7490, 1118, 2386, 547, 13182, 519, 1344, 609, 21768, 14566, 781, 4013, 2959, 269, 0, 297, 657, 2946, 12253, 2107, 974, 8615, 15223, 8491, 571, 630, 6767, 16659, 333, 329, 601, 522, 389, 378, 16659, 974, 389, 352, 320, 282, 4535, 476, 1556, 5437, 476, 3707, 276, 264, 568, 513, 12832, 31804, 10224, 22267, 7674, 607, 5518, 540, 12832, 31804, 7699, 2094, 476, 1220, 278, 269, 2776, 16227, 646, 729, 6205, 540, 12832, 31804, 7699, 689, 476, 3192, 280, 547, 476, 1960, 271, 267, 1101, 607, 4717, 13541, 630, 3192, 280, 1700, 2735, 276, 264, 540, 519, 808, 2863, 320, 540, 2817, 25608, 267, 543, 1287, 607, 5518, 540, 12832, 31804, 7699, 630, 2735, 276, 1700, 1960, 271, 1040, 4438, 1010, 1101, 2165, 267, 646, 8045, 4507, 547, 3035, 2451, 626, 15024, 2066, 12832, 31804, 7699, 269, 769, 2663, 1296, 267, 2107, 974, 8615, 781, 2451, 26310, 9097, 6214, 22799, 3648, 267, 3056, 1864, 547, 11654, 605, 1532, 5350, 4507, 543, 1256, 26510, 549, 3832, 618, 609, 519, 7826, 5783, 269, 1306, 513, 851, 540, 713, 267, 1010, 2229, 7550, 2178, 4550, 268, 629, 10407, 4507, 267, 543, 1010, 20116, 3576, 593, 513, 1007, 267, 9244, 3909, 4557, 528, 267, 5103, 19497, 2348, 2024, 539, 19473, 1143, 269, 7775, 974, 8615, 3357, 547, 23146, 609, 519, 24057, 992, 543, 24815, 540, 2475, 1532, 17977, 9598, 1807, 1323, 770, 553, 1470, 24622, 334, 5633, 13891, 599, 548, 538, 476, 3192, 280, 1282, 519, 12832, 31804, 10224, 7169, 269, 1306, 513, 6205, 538, 519, 9995, 514, 16695, 2817, 8644, 3130, 13571, 630, 293, 1370, 324, 9995, 514, 16695, 632, 8644, 518, 24265, 715, 659, 1308, 267, 674, 306, 454, 1607, 2985, 568, 8850, 6383, 543, 949, 2270, 1344, 602, 568, 711, 2953, 267, 2347, 267, 909, 3562, 15082, 267, 610, 4143, 547, 707, 3406, 13214, 269, 634, 1482, 10039, 547, 1169, 824, 2985, 593, 713, 3896, 269, 7490, 1118, 2386, 547, 13182, 519, 1344, 609, 21768, 14566, 781, 4013, 2959, 269, 0, 22139, 1744, 648, 853, 1963, 262, 25462, 4245, 786, 1450, 596, 547, 6125, 609, 707, 7504, 1247, 5355, 922, 1072, 269, 4841, 1451, 827, 25462, 1247, 3246, 606, 11791, 1565, 1995, 602, 2640, 1312, 31115, 543, 7504, 7567, 563, 24375, 940, 609, 606, 4367, 547, 25462, 3937, 543, 2553, 585, 7738, 267, 17678, 543, 2036, 532, 513, 7504, 781, 4552, 267, 1053, 786, 3533, 1174, 875, 789, 666, 3927, 8415, 26814, 543, 2036, 338, 547, 3986, 1312, 922, 5920, 543, 1745, 563, 5629, 1053, 723, 4121, 519, 17950, 267, 789, 666, 2322, 741, 9241, 9715, 1983, 547, 519, 1449, 676, 25462, 513, 7504, 269, 7201, 5583, 689, 4810, 16929, 267, 1053, 786, 1451, 875, 547, 1683, 9488, 25462, 689, 2212, 547, 2766, 282, 9878, 2027, 3007, 547, 1966, 2127, 610, 2127, 540, 8082, 563, 1607, 3992, 3947, 26348, 519, 4316, 547, 1106, 6793, 7554, 609, 741, 9640, 269, 4841, 786, 723, 519, 4960, 547, 19081, 741, 7504, 267, 1451, 811, 827, 922, 2623, 543, 1560, 1893, 543, 2744, 4030, 689, 25462, 621, 269, 0, 1103, 2221, 779, 1158, 267, 3782, 568, 1898, 267, 855, 10333, 1419, 31963, 593, 519, 4527, 540, 1072, 6142, 269, 2755, 930, 949, 3442, 547, 979, 1510, 621, 267, 519, 4220, 2404, 609, 15877, 1072, 6142, 666, 581, 1713, 543, 2484, 23568, 269, 901, 2376, 12538, 883, 519, 1761, 4539, 540, 1373, 796, 1231, 3293, 267, 3695, 519, 2883, 267, 2168, 267, 543, 3929, 6286, 585, 2043, 543, 2486, 607, 513, 2898, 563, 763, 1034, 7525, 543, 15889, 1981, 540, 711, 2348, 1072, 6142, 568, 519, 2883, 11411, 540, 6397, 2564, 9276, 269, 4634, 9583, 5634, 1072, 2152, 666, 1267, 538, 646, 11998, 12014, 267, 543, 2101, 10108, 610, 10913, 666, 1291, 547, 2883, 10969, 566, 563, 268, 4400, 26959, 540, 6481, 5516, 281, 1133, 1231, 3293, 2043, 3068, 519, 2407, 20015, 660, 540, 3782, 3790, 267, 799, 666, 581, 1896, 2053, 2362, 982, 519, 3928, 7858, 7007, 676, 6142, 3549, 269, 901, 666, 1331, 3388, 689, 4387, 11564, 543, 1095, 18587, 547, 23361, 543, 6413, 13978, 563, 268, 6481, 32124, 281, 9453, 6142, 547, 3262, 856, 519, 1942, 540, 1416, 267, 2564, 12014, 666, 3533, 18645, 267, 3056, 547, 1713, 7963, 269, 901, 666, 723, 513, 2531, 3626, 1198, 267, 18363, 5491, 8464, 267, 8027, 6617, 267, 543, 2949, 2883, 1134, 5630, 563, 268, 7813, 4533, 1097, 281, 769, 3665, 2665, 267, 11566, 2564, 7963, 666, 3196, 2043, 883, 28153, 269, 901, 666, 723, 1279, 18835, 4539, 267, 1818, 621, 2352, 547, 3489, 12029, 267, 10519, 606, 19887, 267, 610, 1256, 1205, 1978, 6009, 563, 19741, 519, 2883, 8833, 267, 519, 3668, 540, 1072, 6142, 666, 723, 513, 17672, 1764, 593, 606, 1367, 779, 2168, 1072, 563, 268, 5548, 26359, 610, 5983, 19079, 5516, 281, 674, 3166, 609, 1164, 3790, 267, 796, 1231, 3293, 2043, 949, 8488, 610, 585, 2998, 5275, 2556, 2564, 1416, 269, 901, 666, 1291, 547, 29083, 2175, 267, 14406, 3255, 585, 2038, 5868, 543, 2126, 267, 543, 5732, 28824, 8374, 563, 268, 17290, 7457, 547, 16473, 633, 5516, 281, 8617, 2638, 13522, 267, 32182, 267, 543, 6375, 3074, 616, 2629, 585, 4509, 1434, 1072, 543, 7303, 4576, 269, 1717, 267, 891, 2533, 616, 1419, 711, 4988, 610, 1942, 3491, 3031, 1438, 585, 796, 1231, 3293, 2043, 267, 3056, 547, 10616, 538, 15324, 1416, 563, 268, 18127, 8376, 5004, 281, 19737, 5312, 2175, 899, 3987, 610, 2295, 2068, 3340, 5571, 2564, 1416, 543, 6646, 269, 9453, 6142, 267, 891, 3790, 666, 1831, 11566, 267, 3056, 547, 16283, 2359, 543, 1761, 1072, 8374, 563, 10387, 10899, 543, 4317, 24093, 912, 763, 3586, 5855, 827, 2564, 9276, 543, 519, 1761, 4539, 540, 4576, 666, 1491, 513, 1713, 17167, 593, 2790, 543, 3929, 1134, 5630, 563, 268, 13262, 543, 17520, 281, 634, 2883, 11411, 540, 1761, 2564, 3790, 666, 581, 513, 3586, 2707, 540, 2566, 543, 4160, 269, 901, 666, 723, 513, 2942, 1764, 593, 3347, 267, 960, 2773, 267, 543, 2949, 2298, 540, 1272, 563, 268, 4317, 1772, 15684, 281, 21824, 540, 519, 2883, 11411, 540, 5275, 2564, 1416, 949, 1291, 2043, 547, 20586, 2933, 689, 1514, 2238, 543, 1489, 5121, 269, 901, 666, 22652, 4606, 540, 20420, 543, 4965, 563, 268, 8177, 593, 19198, 281, 634, 2883, 543, 3929, 11411, 540, 606, 796, 1231, 3293, 1920, 4759, 666, 1860, 519, 3003, 1920, 1770, 269, 901, 666, 1711, 2566, 267, 8082, 267, 543, 32659, 1369, 3347, 563, 763, 3668, 540, 1072, 6142, 814, 6626, 6286, 585, 2486, 607, 513, 2898, 563, 268, 16842, 645, 6324, 523, 593, 16195, 3590, 281, 1133, 1231, 3293, 2043, 616, 811, 2693, 547, 946, 14427, 6595, 4055, 2533, 585, 1875, 268, 4026, 550, 1416, 267, 11093, 513, 8833, 593, 519, 3782, 1062, 543, 6117, 909, 3790, 585, 3025, 563, 268, 28206, 1078, 5398, 2657, 281, 1133, 2006, 3042, 5312, 3676, 543, 17061, 540, 11763, 3676, 666, 10460, 513, 1857, 1072, 3463, 267, 3226, 950, 2043, 2057, 5275, 1416, 1813, 547, 519, 1942, 563, 268, 9483, 8177, 281, 6481, 7963, 543, 2883, 27465, 666, 17225, 2804, 7607, 543, 2208, 269, 3958, 267, 2799, 3782, 3790, 585, 519, 796, 1231, 3293, 666, 5397, 909, 6142, 14167, 338, 585, 3025, 563, 21446, 2510, 543, 10298, 912, 4407, 519, 4220, 540, 711, 2348, 1072, 6142, 616, 1713, 267, 972, 616, 3681, 2139, 547, 948, 2043, 2744, 1569, 547, 10097, 3782, 563, 268, 6554, 15789, 281, 3509, 2477, 2709, 2229, 3292, 602, 1683, 1072, 6142, 547, 1970, 13867, 2043, 543, 3885, 269, 6201, 1331, 27083, 538, 519, 2136, 2276, 543, 519, 2817, 2657, 6796, 538, 519, 2136, 8003, 563, 268, 4427, 338, 573, 1242, 12697, 281, 32285, 5516, 2920, 2344, 17541, 538, 519, 2136, 2276, 2709, 13564, 1242, 1072, 6142, 4566, 1759, 593, 4747, 269, 1452, 4566, 666, 3648, 2569, 519, 1942, 540, 3795, 585, 14718, 2043, 563, 268, 14146, 518, 4149, 335, 29107, 15928, 281, 3509, 12820, 2709, 1072, 6142, 2640, 547, 741, 5520, 269, 901, 666, 581, 513, 1434, 4781, 585, 2043, 945, 616, 6964, 563, 268, 7991, 2657, 15544, 281, 7991, 1072, 7740, 1683, 10097, 3119, 1416, 2533, 547, 796, 1231, 3293, 543, 896, 1231, 3293, 2043, 563, 763, 3375, 547, 979, 1510, 1072, 6142, 568, 513, 1950, 835, 609, 5732, 1713, 4539, 269, 2755, 930, 2043, 949, 581, 2111, 547, 4383, 1510, 3795, 267, 519, 2883, 267, 2168, 267, 543, 3929, 4220, 616, 26837, 4192, 269, 1280, 1034, 1004, 267, 13844, 1072, 6142, 568, 513, 8797, 5092, 538, 741, 1072, 543, 1134, 5630, 267, 543, 3695, 2139, 3681, 568, 2629, 585, 4180, 1569, 547, 2298, 3782, 563, 3528, 1620, 519, 4220, 2404, 609, 1373, 796, 1231, 3293, 543, 3695, 2139, 3435, 267, 2043, 543, 14519, 666, 960, 2509, 513, 8902, 543, 811, 12581, 2486, 1141, 3025, 814, 1569, 547, 519, 3782, 789, 991, 563, 1607, 2376, 814, 3177, 513, 2489, 7650, 540, 519, 4220, 0, 9596, 1018, 20336, 2752, 290, 568, 267, 1946, 621, 779, 1271, 267, 543, 875, 547, 2936, 621, 454, 19699, 2752, 290, 267, 799, 6763, 585, 23792, 2861, 24606, 24956, 1709, 267, 27561, 1299, 1230, 18504, 267, 568, 606, 4757, 15418, 1062, 2966, 547, 2149, 707, 3919, 781, 4757, 6389, 689, 1373, 23699, 585, 26122, 1085, 4461, 543, 824, 6880, 6937, 269, 898, 2488, 513, 7271, 585, 596, 547, 27774, 519, 1576, 540, 2962, 950, 15737, 689, 707, 6389, 3111, 17452, 563, 1692, 6496, 20336, 2752, 290, 4518, 888, 19699, 2752, 290, 13976, 593, 1079, 4540, 6127, 267, 9501, 293, 630, 306, 2658, 8889, 17563, 264, 543, 667, 298, 8379, 630, 291, 558, 664, 11390, 903, 5772, 1881, 25357, 1070, 799, 616, 1031, 547, 12314, 513, 4062, 540, 4757, 609, 513, 6389, 563, 268, 9501, 293, 2636, 6494, 619, 547, 5581, 799, 7379, 9607, 666, 6494, 13875, 585, 513, 1880, 6389, 563, 268, 667, 298, 8379, 3947, 606, 4757, 513, 3059, 15040, 267, 799, 568, 3773, 547, 519, 4757, 781, 20927, 543, 666, 581, 20240, 676, 519, 18579, 563, 2252, 519, 9501, 293, 610, 667, 298, 8379, 2638, 10596, 543, 519, 6389, 538, 519, 20927, 689, 519, 2232, 20383, 609, 519, 6389, 538, 519, 9501, 293, 610, 667, 298, 8379, 851, 540, 519, 5048, 267, 519, 20336, 2752, 290, 2638, 786, 1780, 269, 1717, 267, 621, 568, 1898, 547, 4063, 602, 8429, 891, 17452, 11974, 1281, 711, 10018, 13128, 6765, 540, 519, 4757, 269, 4033, 2188, 267, 971, 607, 18579, 7375, 267, 28417, 12086, 267, 543, 1543, 2079, 267, 949, 1869, 3310, 519, 3803, 6765, 3375, 563, 3963, 568, 20336, 2752, 290, 12830, 888, 19699, 2752, 290, 2337, 2149, 4757, 6494, 619, 543, 23700, 689, 28417, 267, 26122, 267, 543, 24401, 1993, 532, 6285, 269, 1635, 7598, 20336, 2752, 290, 267, 596, 666, 912, 268, 27986, 707, 6216, 267, 7157, 8045, 20336, 2752, 290, 3609, 11151, 18977, 7606, 610, 2533, 689, 11488, 13875, 689, 707, 6389, 454, 268, 2037, 1963, 17265, 4757, 6808, 2366, 689, 596, 543, 593, 707, 15773, 689, 707, 6389, 547, 2226, 707, 10639, 454, 268, 9214, 1162, 4757, 5838, 1464, 281, 20336, 2752, 290, 2337, 8391, 13763, 3313, 952, 513, 5048, 20383, 609, 1018, 519, 17513, 6487, 827, 519, 30699, 563, 8855, 267, 4259, 909, 513, 20336, 2752, 290, 2594, 585, 707, 6389, 568, 2629, 547, 5355, 707, 4757, 3354, 543, 5838, 1464, 269, 1717, 267, 621, 666, 581, 1950, 547, 19022, 543, 8415, 547, 922, 2407, 1761, 269, 1403, 596, 10093, 1405, 2944, 865, 2907, 267, 649, 4363, 602, 596, 5965, 585, 2104, 11488, 4170, 543, 1413, 883, 1655, 2853, 585, 7598, 713, 2810, 3044, 563, 1692, 798, 594, 1039, 513, 20336, 2752, 290, 16680, 888, 9616, 281, 1403, 707, 3919, 814, 606, 4835 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10136, 547, 9718, 519, 9456, 4871, 540, 519, 5213, 563, 763, 4999, 540, 519, 14710, 540, 30110, 1731, 990, 779, 7382, 24767, 543, 519, 6679, 540, 6754, 639, 779, 18086, 18617, 853, 822, 6390, 547, 1931, 3474, 572, 326, 990, 779, 476, 2412, 628, 8136, 543, 1079, 540, 7033, 657, 1156, 14150, 779, 20679, 267, 519, 476, 2641, 560, 630, 300, 1690, 269, 2637, 269, 5981, 328, 594, 569, 747, 8355, 559, 990, 264, 543, 519, 476, 2764, 628, 630, 299, 339, 269, 2637, 269, 667, 2466, 686, 328, 25909, 990, 747, 681, 328, 629, 903, 515, 341, 264, 547, 18956, 689, 741, 829, 559, 748, 7158, 547, 513, 1007, 17872, 1899, 2059, 519, 744, 569, 332, 543, 744, 12921, 565, 23117, 269, 22073, 693, 21554, 593, 5147, 476, 273, 267, 519, 8168, 20679, 13986, 547, 7485, 1394, 896, 513, 30339, 540, 4436, 25044, 3595, 269, 634, 24163, 5794, 17620, 267, 1631, 26017, 676, 20727, 269, 2637, 269, 9410, 674, 773, 15927, 267, 3773, 547, 519, 26093, 18956, 607, 621, 2269, 325, 539, 543, 10514, 539, 519, 6739, 9587, 563, 763, 16586, 6854, 909, 741, 13287, 269, 2311, 717, 832, 515, 1013, 1195, 324, 267, 519, 24162, 1546, 28852, 1633, 9676, 519, 8498, 1310, 513, 4339, 602, 2451, 476, 7906, 8168, 13688, 10032, 269, 2201, 670, 23152, 333, 548, 514, 779, 1318, 1166, 1678, 267, 519, 476, 2190, 628, 7754, 10045, 849, 6854, 909, 519, 2604, 269, 898, 8604, 602, 519, 1101, 5123, 540, 8865, 9791, 1131, 581, 513, 1967, 563, 1805, 822, 6390, 779, 4126, 540, 9591, 922, 1007, 17872, 1899, 729, 695, 13593, 607, 4436, 10136, 18084, 519, 744, 12921, 565, 5211, 269, 898, 729, 1631, 10423, 602, 519, 14063, 8168, 6662, 1058, 581, 547, 1205, 607, 1082, 10136, 607, 2009, 2066, 519, 5213, 5211, 563, 4407, 1919, 8604, 547, 581, 2469, 1134, 585, 519, 16586, 538, 13153, 1284, 747, 338, 685, 7013, 5823, 267, 32379, 28325, 779, 476, 1724, 628, 8136, 729, 8380, 909, 513, 27162, 615, 4339, 5087, 540, 966, 528, 821, 30795, 269, 30110, 1731, 990, 1631, 1185, 1010, 22071, 3330, 519, 2749, 267, 543, 646, 729, 5462, 547, 3180, 621, 269, 1677, 24772, 32379, 28325, 779, 23640, 267, 646, 1185, 29962, 590, 1046, 529, 590, 690, 2674, 990, 747, 6742, 328, 4592, 1014, 779, 476, 22430, 628, 681, 604, 548, 10406, 267, 519, 476, 272, 560, 2871, 1841, 681, 604, 548, 10406, 267, 1079, 7382, 32531, 3547, 267, 543, 29962, 25909, 12658, 528, 990, 747, 700, 2317, 341, 779, 476, 279, 628, 595, 10052, 787, 17620, 630, 2641, 560, 543, 476, 12208, 628, 595, 10052, 787, 6555, 2888, 264, 1847, 4464, 547, 12927, 1864, 563, 1805, 16433, 729, 849, 5462, 547, 3180, 966, 528, 821, 30795, 269, 2060, 1010, 20679, 5045, 540, 519, 2749, 1835, 22824, 267, 519, 2749, 779, 7841, 13398, 543, 519, 16749, 3515, 7532, 540, 519, 2749, 4881, 547, 519, 22703, 2968, 5051, 1271, 269, 1403, 513, 1007, 1899, 1223, 581, 4646, 3297, 519, 5213, 610, 519, 966, 528, 821, 30795, 23117, 267, 1346, 13475, 1131, 581, 4105, 538, 3001, 7727, 543, 10136, 547, 13155, 2127, 538, 519, 5045, 563, 4002, 5147, 476, 274, 267, 519, 3510, 5045, 540, 966, 528, 821, 30795, 4797, 547, 14016, 622, 585, 519, 7737, 328, 1115, 269, 634, 476, 2412, 628, 8136, 729, 1631, 538, 2698, 771, 6783, 269, 670, 1054, 10288, 918, 11391, 325, 547, 5305, 20727, 269, 2637, 269, 590, 580, 325, 5090, 7009, 878, 328, 779, 476, 1626, 628, 16359, 1242, 10406, 689, 1010, 24767, 15395, 543, 6494, 621, 17040, 4724, 853, 776, 744, 12921, 565, 267, 1141, 621, 5532, 909, 609, 519, 4434, 2609, 540, 519, 476, 277, 628, 8136, 269, 4014, 519, 476, 2412, 628, 8136, 729, 1631, 1958, 597, 743, 539, 267, 972, 941, 1869, 10616, 538, 519, 4436, 3515, 1813, 547, 519, 3443, 10045, 15523, 685, 9525, 538, 519, 8165, 1472, 966, 528, 821, 30795, 267, 543, 1082, 4414, 8136, 7980, 941, 1869, 2111, 547, 3136, 741, 18956, 547, 519, 5213, 563, 763, 476, 2764, 628, 543, 476, 2641, 560, 14022, 625, 941, 849, 556, 9934, 896, 5916, 4436, 24915, 543, 26462, 6285, 269, 8734, 344, 744, 12921, 565, 8593, 593, 519, 10543, 540, 5147, 476, 274, 267, 543, 606, 3801, 547, 1106, 513, 1007, 17872, 1899, 729, 1152, 13148, 3811, 269, 4438, 519, 2250, 1906, 2395, 267, 519, 476, 2641, 560, 543, 476, 2412, 628, 14022, 625, 1185, 4503, 811, 982, 3368, 741, 8165, 4222, 267, 543, 519, 476, 2764, 628, 729, 711, 538, 1454, 1732, 3337, 563, 4002, 519, 4786, 267, 621, 6743, 899, 519, 28592, 941, 6849, 513, 16854, 9568, 269, 2060, 1079, 20679, 3927, 10032, 543, 1776, 18923, 16304, 593, 267, 606, 10373, 7934, 729, 6679, 1063, 519, 645, 686, 13089, 543, 25763, 674, 1258, 1206, 269, 1306, 513, 16185, 23237, 10288, 1079, 15395, 20679, 547, 1847, 4464, 269, 634, 476, 276, 628, 15944, 630, 299, 339, 269, 2637, 269, 23849, 559, 4512, 25909, 990, 747, 918, 15120, 6339, 810, 341, 264, 543, 519, 476, 278, 628, 630, 300, 1690, 269, 2637, 269, 32157, 594, 752, 1961, 341, 747, 30709, 335, 752, 14024, 1070, 1142, 609, 3670, 29461, 15523, 267, 941, 2366, 547, 519, 4395, 547, 2061, 6754, 639, 689, 29227, 519, 7934, 563, 13010, 267, 18293, 10288, 700, 339, 269, 2637, 269, 631, 6545, 574, 16653, 990, 747, 16653, 328, 4157, 779, 476, 274, 6113, 15944, 8136, 630, 338, 1460, 29461, 15523, 264, 547, 1491, 909, 7158, 2059, 519, 5213, 5211, 5087, 540, 966, 528, 821, 30795, 543, 20727, 269, 2637, 269, 12658, 528, 631, 16554, 841, 990, 747, 918, 9618, 527, 517, 990, 779, 476, 277, 628, 15944, 8136, 630, 572, 1597, 29461, 15523, 264, 547, 5757, 7158, 5045, 540, 519, 2749, 563, 28830, 941, 1869, 2469, 1134, 585, 6754, 639, 5045, 540, 966, 528, 821, 30795, 267, 855, 519, 4559, 14027, 4724, 966, 528, 821, 30795, 3323, 547, 5469, 513, 2490, 538, 10546, 12485, 269, 3345, 540, 918, 14993, 344, 3570, 12443, 3570, 267, 827, 476, 3445, 12919, 22236, 540, 519, 2749, 267, 519, 476, 272, 560, 32691, 31118, 540, 519, 24162, 1546, 28852, 1633, 1305, 856, 547, 1491, 606, 6662, 1634, 607, 10830, 476, 14225, 269, 21992, 2609, 540, 519, 31458, 1336, 812, 2740, 2361, 7158, 602, 884, 14954, 856, 14686, 3595, 607, 11028, 18590, 4229, 14593, 6619, 269, 634, 16586, 941, 10169, 3144, 705, 871, 1310, 519, 2250, 1906, 2395, 540, 13287, 269, 25909, 729, 6368, 7555, 543, 8165, 563, 763, 31458, 19524, 267, 29962, 32572, 918, 2129, 2401, 267, 18611, 1010, 476, 273, 526, 15506, 30119, 543, 1287, 10288, 1010, 2367, 547, 4323, 269, 634, 23047, 1506, 1858, 538, 4395, 540, 519, 14629, 1500, 621, 5393, 2352, 585, 6186, 1819, 6472, 547, 7500, 267, 865, 621, 729, 909, 547, 519, 26462, 547, 1491, 519, 14629, 538, 513, 28882, 14213, 269, 4436, 25044, 729, 1558, 676, 8168, 25044, 607, 519, 2367, 6410, 4464, 693, 476, 279, 10681, 563, 2005, 729, 513, 26481, 4339, 269, 634, 7737, 328, 1115, 812, 2740, 9244, 25167, 536, 6064, 619, 543, 7158, 602, 1185, 547, 581, 3144, 538, 1688, 3562, 11804, 8396, 269, 4469, 600, 996, 992, 619, 941, 1572, 4464, 547, 6633, 856, 519, 28592, 267, 945, 15189, 547, 18956, 513, 1900, 269, 1306, 2367, 8929, 1142, 824, 693, 2673, 2039, 610, 11360, 539, 2476, 693, 1142, 824, 609, 31009, 543, 1303, 3402, 532, 2645, 267, 621, 8604, 602, 519, 10627, 30119, 1522, 3111, 547, 1491, 922, 6662, 563, 4415, 519, 3390, 538, 8969, 267, 476, 272, 560, 700, 339, 269, 674, 761, 345, 5576, 592, 345, 267, 513, 2754, 19524, 538, 519, 10627, 30119, 267, 3576, 6927, 883, 1010, 1378, 3946, 269, 16710, 324, 1359, 930, 14213, 15963, 267, 646, 3366, 873, 543, 1010, 2754, 998, 519, 23047, 1506, 1858, 543, 1472, 513, 6908, 269, 5900, 22326, 519, 28592, 689, 519, 6397, 4287, 267, 5576, 592, 345, 729, 538, 741, 7158, 1354, 789, 1223, 4628, 2746, 269, 2060, 519, 8168, 3595, 5258, 267, 519, 1964, 540, 519, 10627, 30119, 729, 2111, 547, 1491, 519, 14629, 1310, 513, 14427, 4339, 1282, 799, 5576, 592, 345, 729, 16094, 20754, 563, 763, 476, 2190, 628, 7754, 10045, 543, 10136, 540, 519, 824, 15523, 6849, 966, 528, 821, 30795, 941, 849, 4466, 606, 10546, 602, 15189, 547, 18956, 2394, 12219, 676, 3045, 8811, 7976, 269, 2060, 1034, 540, 519, 476, 2412, 628, 267, 476, 2641, 560, 267, 543, 476, 2764, 628, 14022, 625, 1869, 1427, 11661, 4724, 519, 5213, 15385, 267, 891, 29047, 556, 1173, 340, 731, 3527, 941, 4105, 547, 741, 6668, 269, 1306, 789, 8068, 519, 28592, 1793, 6235, 2476, 267, 621, 2968, 1256, 811, 4105, 602, 670, 1054, 779, 24915, 7903, 5045, 2059, 519, 5213, 547, 1106, 513, 1899, 3297, 873, 563, 763, 3510, 729, 7805, 538, 12670, 269, 1403, 519, 8168, 4559, 7178, 540, 519, 5213, 941, 711, 10032, 267, 519, 1101, 5123, 540, 8865, 9791, 1131, 581, 513, 5821, 269, 4014, 646, 729, 20938, 609, 519, 4434, 540, 519, 476, 277, 628, 8136, 267, 13609, 4718, 519, 8594, 540, 670, 1054, 779, 3443, 10045, 15523, 3478, 536, 690, 3022, 1524, 538, 519, 4339, 585, 519, 4485, 547, 966, 528, 821, 30795, 269, 1261, 1631, 11943, 602, 1010, 3312, 1544, 547, 1491, 966, 528, 821, 30795, 676, 513, 17500, 6186, 1819, 19876, 1522, 711, 581, 1655, 585, 519, 2949, 5106, 563, 21430, 513, 2656, 8184, 547, 13153, 645, 1442, 779, 22071, 267, 13609, 543, 1010, 2361, 22153, 531, 4371, 513, 5618, 5870, 269, 4340, 547, 14787, 6754, 5516, 961, 267, 13609, 5143, 13153, 645, 1442, 267, 968, 296, 1100, 3476, 31274, 2390, 519, 7001, 540, 519, 2749, 269, 594, 849, 1100, 3476, 2015, 621, 2556, 267, 543, 594, 4734, 621, 909, 547, 596, 547, 1847, 670, 1054, 779, 6186, 1819, 4229, 5045, 5612, 3034, 295, 527, 2401, 779, 6085, 729, 513, 7415, 835, 585, 519, 2356, 23801, 674, 6686, 327, 17243, 269, 1261, 1705, 711, 2047, 1931, 13153, 645, 1442, 547, 7340, 827, 2921, 966, 528, 821, 30795, 269, 5502, 267, 1010, 22394, 3948, 2451, 1919, 16304, 538, 519, 2011, 269, 14171, 519, 2749, 729, 9277, 547, 581, 835, 540, 1010, 2101, 6859, 267, 855, 1631, 621, 8604, 547, 581, 540, 6281, 2956, 269, 12846, 267, 519, 15896, 540, 966, 528, 821, 30795, 1131, 1863, 909, 782, 540, 670, 1054, 779, 476, 275, 628, 7754, 10045, 8136, 547, 18711, 5045, 538, 3196, 269, 634, 811, 13153, 645, 1442, 2219, 827, 1010, 3681, 267, 519, 811, 646, 5951, 1042, 563, 763, 3510, 538, 519, 966, 528, 821, 30795, 5823, 693, 519, 1439, 540, 5147, 476, 274, 8604, 547, 3870, 519, 16586, 267, 1256, 609, 519, 2810, 8168, 4187, 269, 18135, 4209, 779, 2473, 7656, 8136, 17620, 1185, 4359, 3592, 28870, 1063, 519, 744, 12921, 565, 543, 5213, 23117, 538, 519, 5087, 267, 1247, 538, 519, 4099, 267, 13153, 18999, 1069, 2335, 779, 30619, 4353, 7754, 10045, 17620, 1185, 4359, 7532, 540, 918, 770, 1941, 1195, 324, 269, 2201, 13153, 18999, 1069, 2335, 779, 1318, 1166, 1678, 267, 918, 11391, 325, 779, 2473, 299, 309, 7656, 7754, 10045, 15867, 1186, 729, 849, 28870, 1063, 519, 744, 12921, 565, 543, 519, 5213, 563, 2026, 13153, 645, 1442, 7477, 650, 730, 267, 519, 476, 275, 628, 7754, 10045, 8136, 543, 476, 273, 526, 8136, 4797, 609, 741, 3312, 9753, 593, 5147, 476, 275, 269, 634, 12625, 540, 8168, 12927, 906, 2059, 8136, 6828, 13153, 1284, 747, 338, 685, 7187, 1166, 1678, 7142, 930, 2242, 547, 519, 3312, 1544, 269, 2060, 18135, 4209, 779, 2473, 7656, 8136, 17620, 8989, 2799, 4187, 543, 2199, 4831, 3430, 2931, 267, 13153, 18999, 1069, 2335, 729, 10288, 547, 6521, 1010, 4434, 4724, 519, 22583, 547, 7794, 519, 26462, 269, 634, 6521, 2451, 918, 11391, 325, 547, 4163, 593, 519, 5397, 547, 966, 528, 821, 30795, 689, 519, 7178, 563, 22117, 2609, 540, 519, 24162, 1546, 28852, 1633, 6603, 519, 8498, 540, 8061, 1080, 320, 267, 3957, 585, 519, 5757, 621, 2893, 1985, 547, 269, 8168, 8030, 1185, 2907, 27762, 519, 8115, 602, 18084, 519, 5757, 267, 543, 519, 4434, 729, 10300, 1540, 1247, 513, 1007, 8115, 729, 26558, 1176, 9112, 269, 634, 24162, 1546, 28852, 1633, 729, 1631, 1152, 8370, 12919, 689, 519, 5213, 563, 4407, 519, 8115, 729, 1373, 9112, 267, 519, 4764, 11074, 543, 519, 3141, 3357, 856, 269, 7216, 538, 519, 12784, 267, 519, 1291, 2609 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4213, 267, 610, 1256, 2229, 9988, 269, 661, 848, 906, 666, 2291, 538, 1585, 3029, 267, 1519, 31077, 543, 2942, 8897, 906, 563, 15650, 540, 661, 848, 906, 454, 292, 848, 906, 666, 2291, 538, 1585, 3029, 267, 1519, 31077, 543, 2942, 8897, 906, 269, 10500, 3305, 894, 8897, 906, 9886, 1978, 2924, 267, 971, 607, 519, 1318, 547, 1780, 936, 519, 2244, 610, 519, 1318, 547, 946, 513, 6712, 540, 519, 2244, 585, 1808, 5301, 563, 2690, 1383, 267, 606, 31077, 8897, 618, 949, 1450, 513, 1753, 26782, 547, 946, 513, 7023, 779, 5397, 3118, 547, 1569, 741, 1378, 3959, 269, 901, 1826, 540, 8897, 618, 568, 4122, 2938, 538, 3871, 1141, 3601, 616, 2244, 6674, 539, 267, 2495, 789, 723, 1100, 1463, 1569, 547, 513, 1857, 4155, 563, 27078, 894, 8897, 906, 267, 593, 519, 824, 1688, 267, 6615, 1978, 2238, 593, 513, 3959, 267, 971, 607, 2679, 3889, 602, 29572, 513, 7023, 779, 2070, 269, 1452, 8897, 906, 616, 1419, 2322, 538, 1747, 547, 2149, 29271, 5784, 267, 3140, 21056, 267, 610, 2067, 2200, 563, 2690, 3236, 267, 513, 2942, 8897, 618, 949, 10238, 527, 513, 3959, 8227, 689, 2679, 513, 7381, 2497, 602, 7161, 519, 2070, 540, 513, 7404, 7823, 2039, 269, 901, 1826, 540, 8897, 618, 5849, 602, 519, 2067, 5898, 540, 519, 1858, 3788, 796, 984, 560, 1192, 539, 563, 1692, 547, 19372, 606, 661, 848, 618, 454, 15307, 629, 7667, 606, 8897, 618, 3335, 3340, 519, 6876, 540, 1312, 519, 1425, 1304, 543, 8789, 1609, 919, 269, 634, 1425, 1304, 10040, 568, 519, 3959, 602, 568, 21002, 2989, 676, 519, 8897, 618, 267, 1247, 519, 8789, 10040, 568, 519, 3959, 602, 2640, 689, 519, 8897, 618, 563, 1103, 930, 2665, 267, 8897, 906, 949, 849, 581, 2813, 998, 13766, 610, 998, 519, 8574, 540, 942, 267, 1634, 607, 1095, 20696, 8897, 906, 269, 3026, 947, 640, 8897, 906, 8451, 950, 513, 3959, 8227, 814, 1100, 824, 10257, 1259, 547, 1569, 741, 3959, 269, 901, 666, 2049, 950, 513, 3959, 568, 2244, 6674, 539, 610, 950, 519, 4540, 1569, 568, 17808, 563, 15430, 20696, 8897, 906, 267, 593, 519, 824, 1688, 267, 616, 2813, 950, 2576, 16175, 543, 11179, 3096, 1776, 1268, 779, 3959, 1510, 10479, 585, 513, 1978, 1974, 540, 942, 269, 901, 1974, 540, 942, 9775, 676, 16278, 855, 568, 3335, 1896, 1296, 563, 5353, 22701, 3656, 5796, 543, 10647, 9488, 1382, 568, 2629, 950, 10188, 519, 10661, 540, 606, 8897, 618, 269, 898, 568, 1271, 547, 1174, 519, 1808, 4170, 543, 6042, 538, 707, 16278, 547, 2327, 602, 519, 8897, 618, 568, 5265, 3964, 543, 16155, 17997, 762, 563, 12234, 267, 621, 568, 1898, 547, 2015, 519, 1761, 1764, 540, 606, 8897, 618, 593, 519, 1871, 543, 946, 540, 707, 3959, 269, 4197, 519, 2924, 543, 7687, 2404, 609, 606, 8897, 618, 666, 948, 596, 1118, 5483, 3664, 827, 707, 3959, 543, 1022, 1761, 2104, 7835, 563, 1103, 3932, 267, 8897, 906, 1404, 513, 1713, 1909, 538, 3959, 1876, 543, 666, 723, 513, 8101, 1764, 593, 3959, 2924, 543, 2244, 946, 269, 1635, 1620, 519, 1114, 2010, 540, 8897, 906, 543, 519, 1184, 540, 9591, 873, 267, 3959, 5411, 666, 6330, 891, 3656, 10848, 609, 6015, 563, 763, 8177, 540, 595, 8576, 1218, 593, 16296, 13574, 11429, 454, 290, 8576, 1218, 666, 723, 1713, 6286, 585, 3959, 5411, 267, 5935, 2244, 946, 543, 3959, 1871, 269, 4197, 519, 1114, 5686, 540, 524, 8576, 1218, 543, 875, 789, 616, 24451, 568, 4105, 585, 21427, 543, 1483, 10040, 9367, 563, 17843, 9877, 338, 540, 595, 8576, 1218, 454, 290, 8576, 1218, 666, 581, 19040, 883, 1079, 1292, 2010, 281, 2318, 543, 2942, 524, 8576, 1218, 269, 15474, 524, 8576, 1218, 2154, 519, 2773, 540, 513, 1808, 2962, 267, 971, 607, 4509, 1455, 2127, 1369, 513, 8027, 1646, 269, 20134, 524, 8576, 1218, 267, 593, 519, 824, 1688, 267, 6615, 1978, 2238, 610, 5615, 267, 971, 607, 10238, 1746, 519, 10661, 540, 5010, 4213, 538, 10821, 2127, 563, 5319, 1721, 1424, 595, 8576, 1218, 538, 16296, 4521, 454, 763, 11268, 540, 524, 8576, 1218, 9775, 4470, 593, 2199, 6042, 543, 519, 1893, 540, 519, 26315, 3294, 269, 5851, 14935, 12205, 267, 585, 1383, 267, 1404, 513, 2629, 1909, 538, 30176, 543, 30191, 524, 8576, 1218, 1369, 741, 2950, 269, 15329, 725, 540, 524, 8576, 1218, 666, 1267, 538, 3656, 4539, 267, 971, 607, 3614, 17313, 267, 22717, 267, 610, 1256, 519, 2530, 540, 3959, 2924, 563, 289, 895, 2456, 543, 2598, 1584, 525, 538, 16296, 4521, 454, 9377, 1456, 543, 1620, 3959, 6302, 568, 1898, 547, 2057, 7526, 543, 13882, 609, 12543, 269, 769, 24014, 610, 31713, 6302, 666, 1291, 547, 3656, 12959, 602, 666, 581, 1312, 20019, 543, 14156, 1951, 1456, 563, 23005, 1456, 16296, 21940, 2456, 454, 23005, 1456, 3959, 6302, 3340, 513, 9488, 6514, 540, 3959, 12220, 267, 3656, 11673, 267, 543, 3140, 5638, 269, 12333, 5619, 832, 543, 3656, 4966, 666, 4217, 538, 16208, 713, 1344, 543, 20547, 1022, 10701, 340, 885, 269, 1635, 7114, 543, 10747, 5730, 3959, 6302, 267, 21427, 666, 11574, 1761, 7526, 543, 2327, 741, 3959, 2924, 616, 6870, 563, 4910, 6295, 21940, 776, 2598, 1584, 525, 454, 1103, 2665, 1141, 10465, 13882, 8451, 267, 621, 568, 19624, 547, 3343, 3656, 8480, 543, 2263, 1761, 6571, 2409, 269, 2405, 2747, 267, 32404, 267, 610, 1256, 25036, 949, 581, 2556, 547, 12172, 543, 8207, 519, 15539, 269, 4197, 519, 3656, 3741, 543, 3157, 3238, 538, 20547, 10465, 7526, 666, 1291, 547, 4023, 543, 9434, 21368, 563, 3528, 26762, 519, 14960, 540, 3959, 1876, 267, 1519, 8897, 906, 267, 524, 8576, 1218, 267, 543, 6302, 267, 2043, 666, 6330, 519, 10848, 540, 3959, 9562, 609, 6015, 269, 1635, 9363, 5483, 543, 5275, 3318, 5796, 950, 2877, 267, 3959, 5411, 666, 2149, 741, 2924, 543, 2972, 741, 1483, 10040, 9541, 547, 519, 2407, 652, 269, 0, 26015, 4252, 814, 1044, 513, 2442, 7328, 585, 5756, 267, 609, 1082, 1114, 5716, 4730, 519, 3014, 538, 1114, 2081, 269, 2290, 540, 519, 1034, 18476, 3604, 1063, 5716, 568, 519, 1259, 789, 2149, 741, 9843, 689, 519, 1981, 540, 5945, 269, 2368, 5716, 786, 5957, 31238, 267, 1247, 1866, 786, 946, 824, 8825, 10591, 269, 2290, 4277, 3364, 602, 930, 5716, 798, 568, 547, 2322, 13545, 593, 741, 31238, 269, 1809, 1946, 798, 789, 798, 713, 888, 1432, 568, 13545, 888, 307, 541, 568, 513, 3109, 267, 1471, 32654, 5277, 602, 568, 6508, 689, 19386, 269, 898, 568, 1031, 538, 1082, 1114, 2081, 267, 689, 32072, 1570, 547, 4155, 4070, 269, 898, 568, 849, 1031, 538, 930, 13836, 31238, 547, 1683, 606, 3063, 4494, 540, 4027, 543, 547, 948, 2569, 1350, 732, 563, 3963, 798, 13836, 5716, 2322, 13545, 593, 741, 31238, 888, 2467, 616, 513, 1906, 4128, 1946, 13836, 5716, 2322, 13545, 593, 741, 31238, 269, 634, 1292, 2601, 568, 585, 4027, 269, 634, 13545, 2337, 547, 1039, 606, 3063, 4494, 540, 4027, 547, 519, 24743, 267, 799, 666, 948, 2061, 5945, 952, 519, 24743, 568, 5734, 676, 513, 3440, 610, 952, 519, 6345, 568, 5734, 676, 513, 10627, 563, 763, 13545, 849, 2337, 547, 2569, 1350, 732, 689, 519, 3141, 269, 634, 3109, 13545, 2337, 547, 10110, 930, 540, 519, 3141, 779, 12345, 267, 799, 666, 948, 519, 6345, 1294, 519, 3440, 1732, 950, 621, 568, 5734, 538, 741, 4287, 563, 7661, 267, 519, 13545, 2337, 547, 2569, 17570, 269, 634, 13545, 2337, 547, 10110, 930, 540, 519, 17570, 602, 666, 18645, 593, 519, 24743, 267, 799, 666, 948, 519, 6345, 3251, 6899, 1247, 4730, 563, 1692, 568, 13545, 4294, 547, 519, 24743, 888, 28274, 13545, 547, 513, 24743, 568, 513, 5266, 2653, 1184, 269, 634, 6345, 786, 1376, 676, 7738, 519, 24743, 609, 513, 12308, 543, 930, 1216, 269, 3973, 267, 789, 786, 1491, 513, 986, 326, 543, 16702, 621, 883, 513, 8708, 540, 13545, 269, 1358, 786, 1287, 6299, 519, 13545, 5196, 519, 24743, 267, 1818, 2386, 547, 3382, 519, 3003, 24743, 609, 606, 1256, 4494, 540, 13545, 563, 5629, 519, 13545, 814, 1044, 4294, 267, 519, 6345, 786, 991, 547, 1577, 621, 3819, 269, 901, 786, 2356, 1491, 1472, 476, 1789, 3764, 269, 4495, 519, 13545, 568, 3819, 267, 519, 6345, 786, 1287, 581, 2111, 547, 946, 519, 24743, 563, 3674, 13545, 2922, 547, 946, 593, 31238, 888, 307, 541, 568, 3622, 2808, 547, 581, 2922, 547, 946, 593, 31238, 269, 634, 13545, 568, 711, 2808, 547, 581, 6757, 610, 13818, 267, 543, 621, 1281, 711, 2270, 1022, 6464, 602, 1223, 581, 5739, 547, 519, 6345, 563, 4913, 267, 621, 568, 1271, 547, 4063, 602, 519, 13545, 666, 2014, 2960, 16698, 952, 621, 2501, 883, 3346, 609, 519, 2960, 269, 898, 568, 849, 1271, 547, 1118, 2386, 519, 13545, 568, 4628, 3819, 1354, 1210, 519, 24743, 267, 607, 519, 13545, 666, 2014, 16698, 952, 621, 568, 1869, 6632, 563, 1432, 616, 519, 8925, 547, 1210, 13545, 593, 513, 24743, 888, 2467, 616, 513, 1906, 8925, 547, 1210, 13545, 593, 513, 24743, 269, 2290, 4781, 568, 547, 946, 513, 24743, 561, 10719, 267, 799, 568, 513, 6094, 4494, 540, 17371, 610, 5958, 602, 568, 5116, 3330, 519, 24743, 269, 634, 561, 10719, 2337, 547, 10110, 17570, 543, 666, 849, 1683, 3063, 4027, 563, 5194, 4781, 568, 547, 946, 513, 1471, 528, 269, 589, 1471, 528, 568, 513, 2312, 5068, 13104, 602, 6227, 519, 3068, 543, 4064, 543, 2337, 547, 2569, 1350, 732, 563, 2710, 782, 13836, 5716, 946, 13545, 593, 741, 31238, 888, 5591, 267, 711, 782, 13836, 5716, 946, 13545, 593, 741, 31238, 269, 898, 568, 6140, 1031, 676, 5716, 945, 616, 3168, 585, 3063, 4027, 610, 945, 1616, 547, 2569, 1350, 732, 563, 6701, 972, 1022, 11393, 547, 1210, 13545, 593, 513, 24743, 888, 2467, 616, 513, 1906, 1761, 11393, 547, 1210, 13545, 593, 513, 24743, 269, 634, 13545, 666, 581, 2352, 547, 4894, 267, 543, 621, 666, 23209, 528, 519, 24743, 952, 621, 568, 711, 4294, 7157, 269, 898, 666, 849, 581, 2352, 547, 4019, 519, 13545, 14961, 2066, 519, 3003, 24743, 563, 8794, 13545, 593, 513, 13836, 24743, 568, 513, 1455, 2259, 585, 1082, 5716, 269, 634, 13545, 2337, 547, 1683, 3063, 4027, 267, 2569, 1350, 732, 267, 543, 10110, 17570, 269, 898, 568, 3622, 2808, 547, 581, 2922, 547, 946, 267, 4352, 621, 666, 2014, 2960, 16698, 952, 621, 2501, 883, 3346, 609, 519, 2960, 269, 2755, 972, 616, 930, 1761, 11393, 547, 1210, 13545, 593, 513, 24743, 267, 621, 568, 1869, 513, 2442, 3903, 585, 1082, 5716, 563, 27407, 267, 1946, 798, 13836, 5716, 2322, 13545, 593, 741, 31238, 286, 634, 13545, 2337, 547, 1039, 606, 3063, 4494, 540, 4027, 267, 2569, 1350, 732, 267, 543, 10110, 17570, 269, 898, 568, 3622, 2808, 547, 581, 2922, 547, 946, 267, 4352, 621, 1281, 723, 930, 1761, 11393, 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 ]
[ 1374, 454, 268, 631, 746, 2029, 454, 268, 10724, 2029, 454, 268, 3131, 8327, 531, 2029, 454, 268, 6713, 5610, 454, 268, 6713, 1852, 267, 543, 454, 268, 13870, 4058, 454, 20058, 267, 3442, 519, 1318, 1570, 267, 2226, 7109, 1734, 5078, 585, 15229, 267, 543, 1413, 547, 2569, 3774, 11098, 543, 1570, 7274, 269, 3973, 267, 1648, 666, 581, 10710, 676, 32229, 519, 22285, 543, 28728, 532, 3531, 839, 267, 13740, 543, 1256, 3905, 28359, 952, 891, 616, 1031, 269, 1411, 666, 4188, 519, 8546, 7306, 543, 2268, 519, 1648, 4616, 547, 1265, 519, 1034, 3608, 8546, 2450, 269, 8921, 267, 9023, 538, 519, 22285, 666, 581, 9168, 547, 946, 1216, 811, 3927, 269, 1323, 3608, 1374, 543, 2673, 32725, 666, 2569, 9023, 942, 267, 5969, 1648, 538, 519, 1216, 6802, 269, 10724, 2029, 568, 519, 7887, 2582, 3815, 538, 4227, 1648, 269, 28628, 543, 782, 3887, 10431, 6191, 616, 519, 1034, 1648, 3608, 267, 5702, 4553, 676, 1648, 268, 9953, 574, 2213, 17453, 6191, 269, 8617, 3289, 13866, 923, 267, 1247, 7347, 543, 5827, 6191, 267, 666, 946, 7466, 519, 5201, 540, 513, 2413, 3167, 3684, 269, 6184, 3634, 519, 12718, 8022, 10851, 267, 1210, 2407, 12718, 13471, 952, 2009, 269, 1879, 8888, 12718, 13471, 267, 2015, 519, 19993, 2837, 7939, 585, 707, 22285, 532, 1184, 269, 8121, 289, 7838, 294, 814, 2196, 1648, 6165, 4255, 540, 4628, 1202, 4327, 8957, 1875, 15564, 4327, 26561, 543, 22285, 338, 585, 1114, 2450, 6191, 269, 6052, 9806, 4096, 593, 519, 5201, 2557, 543, 3684, 2450, 267, 8795, 689, 11278, 13301, 547, 909, 547, 11278, 273, 267, 18231, 585, 606, 8121, 289, 7838, 294, 476, 279, 736, 590, 476, 6110, 271, 693, 476, 2412, 335, 1315, 737, 2662, 269, 4635, 13020, 1023, 267, 519, 1374, 543, 3903, 540, 2837, 1852, 4559, 666, 849, 1860, 2698, 1648, 6165, 269, 634, 12122, 540, 519, 3684, 585, 1114, 5301, 543, 12531, 786, 8532, 1648, 1360, 8335, 269, 898, 5673, 593, 519, 3684, 2029, 282, 17453, 267, 1425, 334, 31622, 14989, 610, 3167, 269, 4400, 31891, 11183, 3335, 3340, 513, 2603, 540, 1648, 1813, 547, 519, 3586, 14656, 30032, 915, 532, 270, 641, 2287, 267, 6466, 1970, 31891, 2694, 2356, 991, 811, 9023, 942, 267, 1282, 799, 267, 609, 513, 1425, 334, 31622, 14989, 3684, 267, 3592, 1100, 1648, 568, 10057, 630, 1492, 6802, 7329, 956, 1282, 8066, 2604, 1040, 1924, 267, 585, 11183, 267, 606, 3167, 8957, 1425, 334, 31622, 14989, 3684, 786, 11578, 1454, 2362, 1648, 22766, 267, 855, 713, 3017, 568, 4130, 585, 1970, 31891, 960, 269, 634, 3448, 1648, 2744, 829, 4783, 630, 528, 1648, 9494, 829, 851, 264, 568, 2362, 593, 3500, 268, 19464, 2694, 269, 634, 1648, 2744, 829, 1367, 851, 568, 2539, 593, 3728, 15203, 2694, 267, 855, 1082, 811, 2694, 616, 3812, 829, 5662, 27473, 267, 865, 519, 6207, 1648, 2744, 936, 942, 568, 2362, 269, 1280, 1184, 5610, 267, 3678, 908, 4238, 666, 849, 2569, 930, 1648, 1031, 269, 28290, 4679, 519, 3684, 779, 7607, 676, 2348, 5812, 4238, 593, 632, 2173, 746, 532, 610, 824, 6281, 2238, 269, 901, 5012, 547, 4389, 4783, 2053, 543, 6971, 519, 2949, 942, 2838, 585, 519, 3684, 547, 581, 1031, 267, 5969, 1648, 267, 23344, 538, 1507, 5666, 563, 18893, 3065, 1184, 5468, 616, 519, 1883, 547, 5969, 5201, 454, 7212, 621, 949, 3280, 6654, 267, 5752, 519, 19993, 5468, 593, 519, 3684, 17120, 666, 2569, 1648, 3790, 267, 3006, 1360, 3648, 269, 1452, 5468, 1331, 519, 22285, 1327, 6362, 3196, 267, 546, 3151, 942, 267, 13297, 3432, 267, 22285, 5210, 267, 543, 12718, 543, 27460, 5210, 269, 3371, 267, 818, 7921, 311, 16447, 6513, 19130, 10112, 626, 666, 948, 519, 3593, 2569, 15653, 2694, 543, 1711, 811, 7123, 2504, 2175, 630, 339, 17687, 267, 2604, 267, 13297, 3432, 264, 602, 1927, 3132, 519, 1034, 3608, 8929, 585, 519, 3498, 269, 1452, 5468, 616, 2629, 1107, 3346, 8121, 289, 7838, 294, 547, 1265, 2081, 547, 948, 596, 2824, 519, 1034, 1648, 18026, 5468, 602, 1810, 1406, 1860, 2773, 269, 15332, 519, 3684, 267, 13020, 1023, 543, 1184, 5468, 267, 4058, 707, 2504, 5265, 267, 543, 6236, 1648, 2359, 666, 849, 4688, 596, 2724, 269, 15380, 267, 513, 5010, 1648, 4579, 23403, 538, 4434, 875, 1454, 1648, 596, 991, 543, 1018, 596, 3580, 2628, 585, 269, 1401, 3865, 532, 519, 6512, 666, 1651, 584, 513, 2362, 737, 2662, 2557, 267, 865, 621, 568, 1271, 547, 917, 707, 5021, 8445, 4452, 269, 634, 3593, 666, 723, 606, 4430, 610, 2362, 4390, 3761, 538, 1747, 267, 855, 713, 9744, 786, 1942, 811, 1256, 952, 621, 568, 711, 1031, 269, 968, 2005, 2731, 17188, 547, 6467, 593, 782, 707, 6191, 538, 513, 5311, 543, 2348, 1648, 2359, 593, 1142, 3684, 547, 3262, 519, 5201, 4452, 936, 942, 2223, 3081, 8121, 289, 7838, 294, 13456, 269, 19833, 10615, 12832, 15614, 23415, 269, 4201, 11703, 543, 588, 698, 13499, 6467, 6823, 281, 8121, 289, 7838, 294, 779, 3301, 21410, 519, 1655, 4090, 1282, 513, 1376, 5346, 1184, 1142, 5057, 568, 23564, 593, 267, 865, 3388, 10301, 8445, 2773, 693, 519, 1482, 942, 267, 1175, 1354, 4358, 2504, 269, 22732, 532, 593, 782, 3334, 1927, 5932, 1164, 8445, 13907, 267, 543, 3334, 666, 581, 12699, 909, 543, 4712, 547, 979, 1247, 824, 2127, 991, 1896, 811, 3764, 547, 3914, 19993, 2837, 269, 2290, 1360, 1455, 1966, 585, 1648, 2530, 538, 2371, 568, 19316, 2011, 20984, 269, 2311, 476, 1321, 3046, 2604, 267, 513, 476, 1015, 7825, 8006, 8559, 538, 519, 1062, 666, 6336, 519, 2754, 11278, 25953, 267, 1822, 513, 1032, 693, 476, 2412, 335, 533, 31574, 2662, 269, 2274, 752, 4152, 543, 28472, 707, 2011, 2707, 786, 2569, 1648, 12014, 269, 634, 5048, 568, 547, 2638, 1169, 3942, 540, 519, 3003, 1184, 5832, 585, 1016, 268, 9953, 2711, 1305, 13522, 543, 18985, 873, 1141, 2009, 563, 18933, 26677, 547, 3167, 666, 4688, 5215, 454, 2752, 289, 7838, 294, 814, 14916, 7318, 1896, 1114, 6191, 609, 1648, 268, 9953, 574, 2213, 2029, 1996, 513, 15977, 17453, 3684, 269, 18873, 3379, 513, 476, 30420, 306, 630, 12061, 1606, 969, 334, 264, 17453, 267, 476, 30420, 295, 10316, 543, 476, 30420, 288, 20231, 11403, 25893, 782, 3887, 10431, 3684, 269, 24951, 519, 476, 30420, 306, 17453, 267, 519, 20231, 11403, 25893, 968, 4467, 3228, 892, 10710, 476, 2412, 267, 1220, 737, 2662, 829, 1032, 267, 1759, 593, 970, 1905, 565, 730, 2542, 1648, 13220, 269, 2311, 519, 1942, 540, 476, 2412, 335, 533, 31574, 2662, 713, 1226, 730, 547, 11278, 1626, 267, 8517, 9806, 829, 3684, 538, 513, 1032, 269, 589, 476, 1015, 2173, 22389, 6300, 267, 609, 9838, 6191, 267, 1223, 4061, 4688, 936, 11278, 8182, 267, 1822, 538, 513, 1032, 269, 6270, 5458, 9806, 1131, 7363, 1152, 4019, 950, 606, 4587, 17453, 3684, 568, 8719, 676, 513, 1007, 22606, 3167, 3684, 971, 607, 606, 1325, 671, 337, 633, 270, 20112, 523, 11272, 269, 8121, 289, 7838, 294, 814, 1500, 4264, 5663, 513, 30361, 540, 519, 1870, 538, 519, 2063, 2947, 1296, 543, 814, 513, 2647, 2039, 540, 12227, 543, 3301, 3435, 547, 2569, 3327, 5434, 267, 5631, 4988, 896, 519, 818, 7921, 294, 3918, 2894, 16447, 24194, 540, 4066, 269, 1284, 849, 1631, 723, 8121, 289, 7838, 294, 11059, 4643, 6052, 267, 513, 10872, 602, 2488, 1648, 5796, 267, 6165, 6482, 267, 27164, 7257, 1154, 3608, 2694, 267, 2866, 543, 811, 269, 1280, 811, 5796, 593, 1648, 9806, 267, 4757, 18078, 17106, 11333, 3820, 269, 1280, 811, 3877, 827, 519, 4274, 14245, 9447, 693, 8121, 289, 7838, 294, 779, 1930, 27440, 2680, 538, 2904, 267, 4945, 1934, 563, 5649, 811, 3377, 689, 8121, 289, 7838, 294, 1934, 269, 0, 763, 1739, 2376, 6257, 1879, 547, 2422, 590, 32268, 538, 808, 9915, 563, 306, 32268, 538, 808, 9915, 630, 297, 6072, 306, 13996, 9664, 264, 1450, 596, 547, 4558, 543, 23074, 1239, 1063, 2789, 13668, 1500, 676, 513, 3593, 269, 590, 32268, 666, 581, 3730, 538, 1082, 3871, 269, 1280, 1383, 563, 268, 14871, 17452, 269, 590, 32268, 2226, 1344, 827, 513, 3593, 779, 21189, 4567, 267, 971, 607, 741, 27024, 543, 10957, 865, 602, 789, 1810, 1406, 723, 547, 2845, 538, 1586, 1169, 942, 789, 1569, 513, 1007, 2985, 593, 519, 3896, 563, 268, 19255, 4771, 7047, 338, 269, 4746, 267, 7886, 3180, 3877, 827, 3688, 513, 3593, 8952, 538, 741, 10918, 7047, 865, 602, 789, 1810, 1406, 6336, 741, 25926, 950, 789, 6330, 547, 513, 1114, 2985, 593, 519, 3896, 563, 268, 4813, 1239, 269, 634, 8400, 6585, 1106, 1239, 17303, 865, 602, 3755, 1810, 1406, 723, 547, 556, 268, 10938, 519, 1344, 952, 789, 6330, 2476, 689, 519, 1106, 543, 2097, 1394, 2663, 563, 268, 14871, 7375, 269, 4746, 267, 7886, 2226, 3593, 7375, 267, 971, 607, 519, 3593, 779, 9053, 1893, 610, 2681, 10325, 865, 602, 519, 3896, 666, 21160, 922, 5920, 610, 2623, 585, 1142, 3593, 563, 1103, 2489, 267, 7886, 616, 3730, 8164, 596, 991, 547, 4558, 1344, 17303, 1063, 13668, 538, 513, 1357, 3498, 269, 1717, 267, 621, 779, 1271, 547, 946, 7886, 4140, 5534, 569, 543, 711, 4558, 811, 1239, 982, 2556, 267, 607, 713, 666, 1764, 519, 2773, 543, 25382, 540, 519, 3498, 269, 3958, 267, 621, 779, 1271, 547, 4383, 7886, 5265, 547, 2057, 3354, 4220, 971, 607, 8400, 554, 6359, 22326, 610, 8400, 30651, 563, 268, 29961, 4880, 17563, 454, 268, 5295, 4437, 454, 268, 2480, 337, 2255, 476, 274, 269, 271, 0, 763, 2165, 834, 29589, 16687, 257, 538, 13557, 10386, 4016, 547, 513, 11347, 1858, 610, 3296, 540, 519, 3003, 1570, 602, 568, 5697, 547, 1491, 513, 3732, 269, 634, 2856, 568, 547, 1491, 513, 3732, 602, 4564, 782, 519, 4162, 543, 3601, 540, 519, 3003, 13557, 1570, 538, 519, 9757, 3444, 16687, 563, 2080, 616, 930, 1808, 3344, 602, 12172, 519, 2165, 538, 2474, 540, 13557, 10386, 912, 268, 11724, 894, 3732, 281, 1879, 596, 1491, 513, 3732, 689, 513, 13557, 1570, 267, 596, 1616, 602, 3732, 547, 2099, 519, 3003, 1570, 269, 634, 3444, 16687, 1058, 581, 6074, 538, 971, 513, 1259, 602, 621, 2488, 606, 4977, 6041, 540, 519, 1570, 538, 922, 30810, 563, 268, 7352, 1464, 538, 1570, 281, 10089, 330, 1570, 666, 581, 4756, 538, 922, 5888, 269, 634, 3444, 16687, 1058, 581, 6074, 538, 971, 513, 1259, 602, 621, 3217, 883, 2272, 713, 13260, 543, 3568, 606, 1256, 3892, 540, 519, 1585, 3334, 540, 519, 1570, 563, 268, 9061, 22891, 10386, 4480, 281, 1703, 616, 1808, 10386, 2553, 538, 799, 519, 3444, 16687, 540, 519, 1570, 568, 9916, 610, 3144, 269, 1280, 1383, 267, 950, 9427, 10286, 2472, 267, 513, 15524, 767, 610, 824, 3926, 666, 581, 1031, 547, 1491, 513, 3444, 16687, 540, 519, 1570, 689, 519, 2627, 547, 519, 5377, 540, 519, 8708, 563, 268, 9061, 16687, 540, 519, 23740, 1899, 281, 769, 23740, 3515, 610, 26797, 602, 3560, 13557, 1570, 267, 519, 3444, 16687, 1419, 4016, 547, 519, 3003, 1858, 540, 519, 1899, 610, 12966, 998, 799, 519, 1570, 8928, 269, 589, 3732, 8204, 519, 3003, 3444, 16687, 1223, 2270, 513, 7833, 7848, 540, 9325, 7306, 543, 2010, 1369, 519, 1570, 563, 268, 4039, 566, 547, 2079, 281, 634, 3444, 16687, 3144, 1058, 1683, 519, 1344, 2877, 585, 519, 1808, 2079, 267, 2436, 585, 2298, 1852, 267, 1382, 610, 10220, 11974, 563, 1103, 5758, 267, 834, 29589, 16687, 257, 538, 13557, 10386, 568, 513, 2165, 602, 4016, 547, 519, 11347, 5542, 540, 513, 3296, 540, 519, 1570, 602, 4564, 922, 30810, 269, 634, 2953, 5542, 543, 8851, 540, 519, 3444, 16687, 568, 2629, 585, 519, 6111, 543, 10727, 540, 10386, 543, 519, 4611, 2079, 269, 0, 300, 9508, 2091, 585, 11629, 338, 281, 8490, 519, 8892, 540, 14044, 18712, 454, 24993, 281, 4455, 476, 2190, 454, 763, 13849, 2091, 568, 606, 6932, 1523, 602, 814, 9676, 519, 9345, 540, 10509, 12439, 543, 13777, 584, 1235, 7567, 269, 898, 4564, 513, 4628, 15138, 5691, 1158, 602, 26779, 2609, 540, 1514, 13033, 267, 11080, 267, 543, 21284, 4641, 269, 1306, 519, 13849, 2091, 5170, 547, 11457, 267, 621, 786, 2154, 519, 15421, 540, 9952, 16413, 547, 1374, 543, 1628, 519, 1950, 5989, 2877, 547, 1489, 922, 2208, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1909, 540, 16413, 538, 519, 13849, 2091, 543, 519, 1983, 2877, 547, 8011, 538, 713, 3078, 2361, 563, 1432 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 922, 4398, 2557, 269, 3590, 4398, 568, 513, 2268, 540, 942, 543, 513, 5488, 5114, 942, 786, 1291, 547, 2362, 6531, 22786, 602, 786, 538, 2490, 5352, 811, 4398, 538, 519, 2533, 3177, 563, 30208, 22786, 814, 1082, 2640, 936, 2757, 1062, 1102, 2858, 23461, 269, 1280, 3236, 267, 621, 3085, 1406, 723, 547, 7048, 593, 1062, 16984, 610, 1062, 19767, 547, 6895, 519, 2533, 547, 2057, 11991, 21463, 269, 898, 17990, 519, 1870, 689, 11991, 5989, 1942, 563, 3086, 12997, 267, 6531, 7384, 2533, 949, 2709, 1312, 27249, 543, 13412, 2533, 547, 741, 5561, 269, 4014, 1312, 2474, 616, 1031, 538, 6531, 7384, 267, 789, 616, 1114, 10305, 540, 513, 6531, 1604, 563, 30208, 4432, 2880, 640, 4016, 547, 519, 1062, 779, 2702, 547, 6175, 610, 2333, 922, 4199, 14305, 538, 1483, 6066, 538, 3210, 547, 513, 6727, 6749, 610, 21782, 538, 3747, 269, 13192, 2480, 531, 1464, 593, 519, 824, 1688, 4016, 547, 519, 2799, 24913, 609, 2463, 547, 922, 2907, 4540, 5989, 547, 2743, 922, 1279, 3856, 2208, 7569, 1510, 1022, 3028, 954, 8306, 563, 30208, 2480, 531, 1464, 568, 7363, 1031, 538, 1870, 5054, 602, 723, 811, 22150, 1102, 2858, 24780, 4238, 269, 634, 8545, 1568, 538, 513, 840, 13807, 534, 1676, 6073, 1247, 519, 5449, 6411, 8216, 24345, 1813, 547, 4756, 24913, 2242, 269, 13192, 25382, 568, 1500, 2009, 676, 1210, 5691, 1436, 610, 5691, 6191, 607, 789, 616, 3810, 27249, 543, 581, 26987, 909, 543, 1524, 1247, 1373, 18799, 593, 2789, 13763, 563, 13828, 2934, 540, 6531, 7384, 616, 1271, 543, 1360, 1134, 1644, 547, 1142, 824, 538, 7393, 1062, 4398, 269, 1717, 267, 519, 16126, 593, 2901, 835, 540, 519, 4183, 5673, 593, 519, 1826, 540, 1870, 543, 519, 2470, 540, 6075, 3747, 1107, 22150, 24913, 338, 610, 3810, 4756, 24913, 338, 563, 30208, 22786, 8591, 7207, 610, 10597, 519, 4390, 540, 6531, 7384, 609, 519, 2907, 4540, 8668, 5989, 269, 898, 3085, 1406, 2154, 3063, 9541, 538, 1007, 3301, 267, 2866, 10986, 267, 610, 4946, 1007, 3937, 269, 898, 11498, 519, 32636, 540, 519, 2907, 4540, 8668, 7207, 676, 10128, 609, 6531, 2533, 543, 2645, 563, 2005, 2337, 547, 5838, 7384, 2533, 29858, 547, 519, 5561, 609, 8897, 1510, 2348, 547, 1039, 3063, 1942, 547, 519, 1870, 538, 2474, 540, 4390, 2679, 269, 898, 11479, 3608, 4213, 543, 568, 835, 540, 519, 1906, 2934, 602, 723, 11573, 3042, 519, 3747, 585, 6531, 7384, 547, 3152, 15627, 563, 1607, 1826, 540, 7384, 1995, 568, 9447, 1210, 1896, 4485, 971, 607, 519, 2628, 23829, 3917, 537, 30559, 2203, 3092, 269, 634, 2640, 540, 1210, 971, 2533, 616, 602, 513, 6075, 3843, 547, 1992, 606, 31302, 7384, 4199, 899, 7384, 17765, 942, 267, 4859, 267, 3965, 267, 3060, 267, 3092, 666, 1992, 971, 2200, 538, 606, 13128, 3210, 1510, 2348, 547, 1902, 538, 8628, 1102, 2858, 23461, 610, 1510, 2348, 547, 4308, 609, 1480, 4205, 538, 1483, 6066, 563, 1607, 1826, 540, 3028, 568, 27723, 1031, 538, 519, 10685, 10126, 1813, 547, 1164, 11385, 908, 12119, 2534, 269, 4438, 1055, 5498, 1783, 6455, 610, 1032, 15134, 6455, 267, 513, 6727, 21782, 538, 519, 1062, 949, 581, 6383, 602, 3340, 811, 7384, 2200, 1813, 547, 519, 2333, 538, 3747, 689, 519, 5561, 269, 5502, 540, 2810, 519, 6578, 593, 5458, 5989, 3790, 547, 2743, 971, 4390, 3747, 267, 513, 3280, 1870, 3070, 1131, 581, 547, 1491, 909, 713, 4316, 676, 1210, 513, 6531, 13412, 3028, 563, 1607, 3028, 786, 6023, 519, 1906, 4374, 540, 1164, 4390, 3747, 1247, 585, 519, 1964, 540, 519, 1032, 267, 621, 786, 16056, 1394, 547, 922, 3339, 4390, 269, 898, 6157, 814, 513, 3152, 1764, 593, 4213, 543, 666, 581, 513, 1483, 4308, 952, 10685, 3549, 616, 3168, 547, 2759, 741, 1942, 593, 8668, 5989, 22939, 563, 2026, 811, 4213, 585, 599, 883, 713, 2872, 585, 1942, 13716, 4369, 543, 10512, 4398, 267, 3747, 585, 10316, 6531, 5054, 2059, 609, 519, 22786, 540, 1857, 6531, 2533, 723, 1831, 519, 1007, 2343, 269, 13192, 22786, 6770, 538, 1942, 13716, 4369, 543, 5812, 2773, 609, 3028, 8244, 5180, 519, 9219, 563, 9377, 1456, 519, 4213, 538, 2474, 540, 4199, 3589, 1464, 610, 24913, 7648, 949, 1450, 6531, 7384, 2533, 547, 1683, 513, 27249, 610, 13412, 3070, 547, 741, 7817, 779, 1870, 2115, 269, 901, 786, 948, 538, 7114, 799, 6531, 7384, 2533, 1131, 4866, 538, 513, 1857, 6531, 1604, 543, 799, 4213, 666, 581, 17411, 676, 519, 3919, 3294, 563, 297, 12127, 1177, 9142, 779, 5403, 12392, 25890, 5358, 769, 13192, 17270, 6770, 13192, 8321, 1218, 6251, 547, 741, 5326, 6009, 269, 634, 4745, 2275, 1068, 2305, 1576, 568, 476, 277, 3275, 1279, 543, 568, 5342, 2228, 543, 786, 948, 596, 1831, 513, 2347, 13192, 12333, 269, 0, 24309, 676, 31550, 21619, 1068, 630, 18431, 8242, 5437, 476, 3066, 267, 476, 1708, 272, 994, 17457, 8924, 666, 4440, 1655, 581, 6956, 676, 9236, 873, 609, 5929, 8924, 269, 1703, 568, 930, 2012, 10539, 1063, 519, 1079, 269, 7073, 8924, 616, 849, 1634, 607, 1558, 549, 8924, 610, 8837, 15188, 8924, 269, 25839, 8924, 616, 3006, 1634, 607, 18376, 8924, 630, 6518, 568, 606, 25031, 2012, 267, 2094, 2413, 8924, 2196, 593, 519, 18376, 607, 1134, 1040, 2201, 8837, 476, 279, 543, 476, 279, 269, 272, 267, 2413, 543, 5929, 3156, 941, 7168, 5693, 9674, 267, 855, 609, 8837, 476, 1015, 267, 972, 781, 1454, 1447, 540, 513, 9668, 1063, 519, 1079, 2010, 540, 3156, 563, 2414, 519, 3593, 267, 972, 3884, 1405, 1454, 3017, 1063, 513, 2413, 813, 543, 513, 5929, 813, 269, 634, 5449, 8255, 593, 8837, 476, 279, 267, 8837, 21512, 267, 8837, 476, 1015, 7193, 338, 267, 543, 14342, 269, 25839, 8924, 616, 3710, 585, 8837, 476, 278, 267, 476, 279, 267, 543, 476, 1015, 18376, 1949, 269, 589, 2413, 813, 814, 1100, 3544, 7406, 543, 25361, 519, 3003, 5496, 676, 9949, 269, 1358, 666, 267, 1498, 267, 1376, 538, 513, 6885, 267, 543, 952, 865, 789, 1419, 7328, 513, 834, 327, 3711, 584, 3455, 10624, 257, 543, 723, 741, 2140, 538, 519, 5580, 268, 3847, 3079, 540, 10704, 563, 2791, 666, 1152, 1205, 2413, 8924, 689, 519, 8837, 15188, 267, 543, 596, 666, 1152, 2196, 835, 2413, 813, 693, 513, 942, 269, 3143, 811, 3818, 2389, 27965, 607, 596, 666, 609, 5929, 8924, 269, 630, 296, 8275, 713, 666, 581, 1312, 1434, 543, 3983, 4700, 1656, 2413, 8924, 1246, 513, 834, 338, 663, 7901, 539, 257, 3354, 2203, 547, 2061, 873, 689, 20739, 1136, 688, 22106, 593, 707, 3003, 1062, 269, 769, 2489, 267, 2413, 8924, 4043, 547, 581, 811, 899, 5985, 8924, 8957, 5929, 8924, 799, 616, 1869, 2966, 585, 519, 7193, 18376, 269, 28791, 596, 2811, 513, 17354, 267, 1498, 267, 519, 7887, 3017, 596, 3513, 1294, 1063, 519, 1079, 2010, 540, 8924, 568, 519, 3593, 8818, 563, 1607, 9133, 630, 13670, 6434, 264, 10039, 547, 8837, 476, 1015, 563, 15919, 513, 1982, 666, 1205, 834, 560, 3089, 2437, 2495, 621, 568, 1100, 3476, 17841, 543, 5526, 547, 581, 3257, 4986, 693, 782, 269, 1411, 666, 3267, 20524, 2859, 454, 2467, 949, 2097, 513, 942, 950, 707, 1062, 568, 1100, 3476, 5665, 5265, 269, 901, 1223, 581, 519, 1267, 540, 3204, 3588, 2242, 267, 513, 3267, 20524, 2859, 454, 2005, 781, 2009, 602, 519, 8837, 25817, 6885, 949, 12212, 1205, 856, 540, 5348, 322, 609, 519, 1239, 621, 781, 18071, 269, 1411, 666, 3267, 20524, 2859 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 262, 6540, 3698, 4452, 3890, 1384, 825, 2518, 9343, 692, 825, 1948, 4452, 1239, 883, 513, 1592, 540, 1592, 454, 825, 609, 1930, 3488, 335, 20094, 27406, 3299, 1412, 337, 10807, 607, 535, 912, 1038, 1948, 1224, 3758, 883, 513, 26417, 3898, 454, 1038, 5467, 815, 26417, 18667, 518, 6600, 2020, 1038, 1948, 621, 4733, 547, 476, 272, 560, 3693, 543, 454, 1038, 1948, 4894, 519, 2361, 781, 2012, 4737, 454, 1038, 20927, 815, 1985, 263, 1348, 518, 2020, 1038, 1948, 4452, 1239, 883, 9343, 609, 454, 1038, 1948, 1697, 1239, 1826, 3898, 454, 1038, 9343, 815, 20886, 842, 21405, 314, 271, 25818, 4737, 314, 272, 3910, 10581, 21405, 314, 273, 25818, 24303, 6155, 520, 8135, 269, 1598, 696, 830, 21405, 314, 274, 3910, 1412, 260, 332, 270, 260, 323, 270, 260, 312, 10807, 316, 585, 4737, 538, 5467, 6540, 454, 3698, 4159, 318, 29798, 263, 29798, 2187, 825, 8173, 825, 2598, 680, 904, 1587, 1344, 538, 513, 4737, 563, 825, 634, 2164, 786, 581, 513, 1592, 540, 8638, 269, 3962, 454, 825, 1592, 786, 2270, 519, 2838, 6724, 602, 454, 825, 616, 7329, 267, 2012, 267, 3902, 543, 1163, 19418, 4266, 780, 825, 7151, 540, 519, 2497, 1058, 581, 910, 3097, 1038, 3349, 14491, 32284, 8443, 272, 267, 1412, 5575, 3732, 6221, 3299, 476, 272, 269, 2537, 267, 1412, 297, 3198, 268, 4905, 268, 1001, 280, 262, 7481, 825, 29185, 825, 585, 1267, 538, 2164, 912, 1038, 3349, 14491, 32284, 31114, 2020, 825, 1820, 6025, 762, 994, 825, 3349, 269, 27234, 318, 4900, 30800, 3698, 13214, 6025, 758, 839, 2187, 825, 6882, 318, 2421, 28804, 26174, 815, 1592, 6600, 559, 614, 10857, 10033, 4737, 281, 21797, 314, 271, 316, 10922, 4737, 314, 273, 316, 10922, 21797, 314, 272, 3910, 9343, 4917, 825, 6882, 318, 2421, 5091, 919, 815, 1592, 6600, 559, 614, 10857, 10033, 4737, 281, 21797, 314, 273, 316, 10922, 4737, 314, 274, 316, 10922, 21797, 314, 274, 3910, 6882, 318, 2421, 28804, 26174, 4917, 825, 2132, 15044, 6600, 559, 614, 318, 2421, 5091, 919, 267, 1883, 284, 14433, 4737, 281, 4737, 314, 274, 316, 9239, 3698, 13214, 15461, 318, 14310, 318, 845, 2660, 263, 29798, 2187, 825, 8173, 825, 17838, 13214, 883, 1697, 5569, 454, 825, 1826, 3898, 865, 621, 666, 581, 16041, 883, 454, 825, 3349, 14491, 32284, 3890, 1599, 282, 1899, 476, 2918, 454, 825, 29185, 825, 585, 1775, 267, 1267, 538, 26246, 263, 29798, 2187, 1038, 1267, 314, 274, 316, 815, 1267, 314, 274, 4940, 1598, 1111, 830, 3488, 260, 321, 268, 260, 323, 268, 260, 312, 262, 1040, 21639, 4590, 1038, 2164, 5157, 316, 815, 1267, 692, 825, 2132, 2164, 7531, 3698, 1612, 572, 318, 12252, 263, 12252, 2187, 825, 8173, 825, 29807, 525, 543, 7024, 21797, 540, 454, 825, 4971, 538, 1697, 1239, 1826, 563, 825, 16849, 1412, 16178, 262, 952, 4971, 729, 454, 825, 13817, 29664, 323, 540, 4636, 569, 29921, 780, 825, 13817, 29664, 323, 1383, 910, 3097, 1038, 834, 24191, 333, 29951, 3534, 604, 341, 257, 18092, 8771, 454, 1038, 834, 273, 269, 2412, 476, 273, 269, 2568, 808, 3198, 268, 4905, 268, 1001, 280, 257, 18092, 8771, 692, 825, 2953, 1383, 20620, 1038, 834, 273, 269, 2412, 476, 273, 269, 2568, 808, 3198, 268, 4905, 268, 1001, 280, 808, 3198, 268, 4029, 268, 1001, 280, 257, 18092, 1496, 273, 269, 275, 267, 476, 273, 269, 277, 267, 30220, 6155, 520, 8135, 263, 1001, 280, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 1070, 30220, 6155, 520, 8135, 263, 1001, 280, 267, 476, 272, 267, 476, 4029, 267, 476, 271, 267, 476, 271, 22708, 825, 29185, 825, 21797, 815, 4971, 21858, 3488, 30386, 8931, 825, 1948, 2094, 513, 1697, 4971, 814, 476, 275, 454, 825, 1948, 3334, 547, 621, 267, 952, 519, 18351, 454, 825, 1948, 8237, 8120, 1447, 610, 3152, 454, 825, 1948, 982, 476, 275, 1287, 649, 1810, 1405, 991, 547, 454, 825, 1948, 2638, 585, 14496, 540, 519, 4971, 454, 825, 952, 7003, 6025, 758, 839, 264, 11203, 476, 275, 912, 1038, 2132, 18011, 12252, 1058, 581, 538, 834, 11266, 21201, 318, 300, 2562, 11553, 21201, 318, 7246, 311, 12327, 303, 7644, 2464, 318, 4306, 11286, 12327, 303, 7644, 2464, 318, 4306, 8008, 257, 3898, 3299, 1070, 8771, 692, 825, 1948, 2119, 547, 6460, 12673, 883, 454, 825, 1948, 1697, 12043, 543, 6952, 1022, 454, 825, 1948, 17756, 602, 616, 6659, 454, 825, 1948, 547, 2132, 519, 8771, 585, 5470, 454, 825, 2119, 912, 1038, 3902, 28804, 815, 10581, 6025, 758, 839, 314, 271, 7481, 1038, 3902, 26174, 815, 10581, 6025, 758, 839, 314, 272, 7481, 1038, 1163, 2231, 318, 11034, 815, 24303, 6155, 520, 8135, 269, 1598, 696, 830, 6025, 758, 839, 314, 273, 4940, 5115, 1388, 1125, 19572, 1412, 260, 321, 268, 260, 323, 268, 260, 312, 5073, 1038, 1163, 2231, 14067, 641, 815, 24303, 6155, 520, 8135, 269, 1598, 696, 830, 6025, 758, 839, 314, 274, 4940, 5115, 1388, 1125, 19572, 1412, 260, 321, 268, 260, 323, 268, 260, 312, 5073, 825, 4849, 1401, 4003, 607, 552, 912, 1038, 2132, 630, 324, 267, 1070, 8771, 692, 825, 1948, 593, 3811, 11056, 267, 4452, 454, 825, 1948, 1239, 538, 1697, 2053, 883, 513, 1592, 454, 825, 1948, 543, 2132, 454, 825, 2132, 630, 23748, 28804, 267, 3902, 26174, 267, 1163, 2231, 318, 11034, 267, 1163, 2231, 14067, 641, 1070, 6936, 7531, 3698, 1376, 10031, 825, 8173, 825, 3399, 16561, 3593, 3403, 454, 825, 2372, 527, 1982, 950, 3593, 2010, 1412, 1410, 527, 7055, 825, 29185, 825, 4452, 10797, 825, 1247, 6936, 912, 1038, 4971, 815, 3403, 3488, 285, 30386, 1038, 952, 4971, 2652, 1412, 1410, 527, 12466, 2018, 2736, 454, 1038, 21797, 267, 1967, 815, 1612, 572, 318, 12252, 263, 12252, 994, 1038, 952, 1967, 912, 2018, 7117, 815, 13214, 6025, 758, 839, 994, 2018, 2164, 815, 13214, 15461, 318, 14310, 318, 845, 2660, 32429, 994, 2018, 4159, 318, 29798, 263, 29798, 994, 2018, 4452, 4590, 2018, 3136, 454, 1038, 3116, 912, 2018, 1820, 3488, 19587, 2433, 3299, 21797, 314, 271, 7481, 1038, 1948, 4159, 318, 29798, 263, 4900, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1376, 10797, 258, 21797, 267, 552, 815, 1612, 572, 318, 12252, 3488, 273, 269, 2412, 476, 273, 269, 2568, 808, 3198, 268, 4905, 268, 1001, 280, 808, 3198, 268, 4029, 268, 1001, 280, 5073, 258, 7117, 815, 13214, 6025, 758, 839, 994, 258, 2164, 815, 13214, 15461, 318, 14310, 318, 845, 2660, 32429, 994, 258, 4159, 318, 29798, 263, 29798, 994, 0, 18851, 275, 269, 2843, 510, 3264, 3522, 20434, 13194, 7846, 13953, 16021, 25338, 3522, 13194, 13833, 9924, 13953, 17095, 20977, 4736, 4736, 2961, 269, 2843, 352, 18194, 31606, 4709, 22147, 3378, 17095, 20977, 4736, 4736, 3522, 18194, 17201, 21833, 21162, 25338, 9924, 31224, 11012, 6459, 29391, 7846, 19628, 27569, 4138, 3264, 25602, 4344, 23485, 16648, 7846, 4344, 9924, 912, 14588, 539, 267, 2681, 267, 2012, 267, 568, 7272, 565, 823, 630, 16648, 7846, 6459, 3264, 8563, 3378, 1916, 396, 494, 476, 25000, 7549, 21833, 3264, 20413, 20046, 19757, 9924, 281, 979, 267, 3247, 267, 2490, 5560, 3925, 13211, 7549, 30324, 18775, 9924, 3264, 18194, 17201, 21833, 21162, 11012, 3378, 29652, 27569, 28476, 267, 24893, 26580, 20413, 3522, 20732, 4138, 20265, 10780, 3378, 3264, 17153, 3522, 20977, 267, 16068, 13150, 31606, 13833, 4138, 20977, 4736, 9841, 267, 10780, 13833, 21268, 4709, 7846, 20977, 630, 7549, 7846, 28027, 1916, 396, 508, 10528, 4138, 20732, 4138, 16021, 14359, 27799, 7549, 17201, 9841, 7549, 3378, 18194, 3378, 10948, 21268, 17221, 17153, 17095, 20977, 4736, 4736, 13833, 281, 16011, 10111, 267, 22505, 10111, 267, 4518, 10111, 267, 17318, 10111, 563, 396, 498, 29652, 3522, 8563, 9841, 16021, 11714, 25338, 3522, 13194, 13833, 9924, 13953, 17095, 20977, 4736, 4736, 20413, 20046, 19757, 454, 19651, 5334, 32497, 267, 17095, 30324, 18775, 9924, 13953, 18194, 17201, 21833, 12811, 10780, 30718, 3522, 13194, 9924, 8563, 28476, 476, 16021, 7549, 7846, 27569, 7846, 19628, 11012, 7549, 18775, 3378, 13150, 9841, 25602, 8563, 4344, 21134, 29652, 4138, 31124, 269, 2843, 498, 31124, 17095, 20977, 4736, 4736, 13833, 16011, 10111, 15800, 4518, 10111, 454, 10528, 3264, 16417, 5284, 379, 16417, 9686, 3264, 20434, 16021, 20413, 20046, 19757, 1397, 5334, 32497, 269, 2843, 509, 23485, 23970, 20265, 10948, 23845, 4138, 11012, 7549, 18775, 3378, 13150, 4138, 11012, 8563, 9924, 20732, 3264, 476, 2568, 630, 307, 1144, 10111, 264, 15800, 476, 2412, 630, 13480, 10111, 264, 18194, 17201, 21833, 21170, 454, 8563, 9924, 8563, 19757, 4138, 31224, 31502, 11012, 3378, 29652, 27569, 23845, 3264, 16068, 10780, 16417, 8563, 9924, 20732, 23845, 4138, 11012, 7549, 18775, 3378, 13150, 4138, 563, 396, 350, 5284, 371, 28027, 13953, 16021, 16044, 491, 7549, 13194, 27671, 10528, 31124, 4814, 9924, 17095, 20977, 4736, 4736, 13833, 267, 10780, 3264, 16417, 28027, 13953, 16021, 23970, 20265, 10948, 23845, 9326, 25602, 4344, 23485, 16648, 7846, 4344, 13833, 269, 31560, 9924, 10528, 17201, 17221, 16021, 18194, 3378, 13150, 7846, 10528, 17095, 25602, 4344, 23485, 16648, 7846, 25000, 9261, 2676, 8563, 9924, 8563, 29391, 4138, 16021, 476, 16417, 13194, 7846, 23783, 4344, 19277, 269, 31560, 9924, 10528, 17201, 17221, 16021, 11714, 9924, 13194, 13833, 20413, 20046, 19757, 13833, 15800, 476, 25000, 7549, 21833, 3264, 10780, 30718, 3522, 21833, 4138, 16021, 476, 16417, 13194, 7846, 23783, 4344, 19277, 27969, 7531, 5035, 2961, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3432, 281, 703, 267, 2681, 281, 1193, 267, 2012, 281, 1193, 267, 568, 7272, 565, 823, 281, 536, 944, 2187, 1038, 1582, 4732, 32497, 815, 3432, 454, 1038, 1582, 269, 10233, 815, 2681, 454, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 18994, 7272, 565, 823, 815, 568, 7272, 565, 823, 692, 825, 1219, 979, 4311, 2187, 1038, 2132, 1412, 11034, 267, 1847, 28847, 825, 1219, 3247, 4311, 2187, 1038, 2132, 1412, 17380, 28847, 825, 1219, 2490, 318, 3847, 4311, 2187, 1038, 2132, 1412, 339, 1248, 2451, 28847, 825, 1219, 2490, 318, 2431, 4311, 2187, 1038, 2132, 1412, 339, 1248, 1318, 28847, 825, 1219, 1397, 5334, 32497, 4311, 2187, 1038, 2132, 27835, 14588, 539, 9166, 1582, 4732, 32497, 267, 1412, 9166, 32582, 348, 7531, 5035, 16011, 10111, 263, 10111, 2187, 825, 3432, 318, 3916, 527, 815, 476, 2568, 692, 825, 1219, 1397, 5334, 32497, 4311, 2187, 1038, 3432, 318, 16769, 815, 2706, 14061, 19651, 5334, 32497, 4590, 1038, 952, 3432, 318, 16769, 9131, 14588, 539, 11172, 3436, 16011, 10111, 4732, 32497, 318, 3916, 527, 912, 2018, 3432, 318, 16769, 314, 5257, 4940, 6572, 3488, 1478, 3432, 5073, 1038, 2132, 3432, 318, 16769, 7531, 5035, 22505, 10111, 263, 10111, 2187, 825, 1780, 7531, 5035, 4518, 10111, 263, 10111, 2187, 825, 3432, 318, 3916, 527, 815, 476, 2412, 692, 825, 1219, 1397, 5334, 32497, 4311, 2187, 1038, 3432, 318, 16769, 815, 2706, 14061, 19651, 5334, 32497, 4590, 1038, 952, 3432, 318, 16769, 9131, 14588, 539, 11172, 3436, 16011, 10111, 4732, 32497, 318, 3916, 527, 912, 2018, 3432, 318, 16769, 314, 5257, 4940, 6572, 3488, 1478, 3432, 5073, 1038, 2132, 3432, 318, 16769, 7531, 5035, 17318, 10111, 263, 10111, 2187, 825, 1780, 7531, 3832, 341, 549, 2280, 815, 16011, 10111, 263, 271, 267, 1412, 1042, 3299, 1412, 10267, 341, 549, 2280, 3299, 6936, 994, 2745, 6600, 262, 13640, 4461, 2715, 3832, 341, 549, 2280, 269, 10233, 9574, 2715, 3832, 341, 549, 2280, 20508, 9574, 595, 3591, 910, 2715, 3832, 341, 549, 2280, 18994, 7272, 565, 823, 348, 5073, 2745, 263, 3832, 341, 549, 2280, 269, 2998, 15405, 3832, 341, 549, 2280, 4732, 32497, 815, 476, 2004, 454, 2745, 263, 3832, 341, 549, 2280, 20481, 5334, 32497, 15405, 2745, 263, 3832, 341, 549, 2280, 6745, 1248, 318, 2431, 15405, 3832, 341, 549, 2280, 4732, 32497, 815, 476, 8099, 454, 2745, 263, 3832, 341, 549, 2280, 20481, 5334, 32497, 15405, 2745, 263, 3832, 341, 549, 2280, 6745, 1248, 318, 3847, 15405, 2745, 263, 3832, 341, 549, 2280, 14714, 641, 31156, 2745, 263, 2004, 2608, 834, 258, 15419, 326, 553, 815, 4518, 10111, 263, 271, 267, 1412, 18872, 3299, 1412, 294, 1794, 601, 3299, 8771, 994, 2745, 6600, 262, 13640, 4461, 2715, 326, 553, 269, 10233, 9574, 2715, 326, 553, 20508, 9574, 595, 3591, 910, 2715, 326, 553, 18994, 7272, 565, 823, 348, 5073, 2745, 14116, 553, 269, 2998, 15405, 326, 553, 4732, 32497, 815, 476, 1789, 454, 2745, 14116, 553, 20481, 5334, 32497, 15405, 326, 553, 4732, 32497, 815, 476, 3583, 454, 2745, 14116, 553, 20481, 5334 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1796, 9557, 267, 12077, 267, 602, 1434, 543, 9409, 616, 32753, 10353, 547, 835, 1776, 267, 543, 849, 267, 602, 789, 616, 538, 2169, 878, 2406, 4448, 286, 1548, 1223, 581, 741, 4276, 286, 1284, 4927, 3801, 547, 2626, 713, 2243, 693, 519, 1439, 540, 713, 1557, 563, 763, 1657, 24575, 540, 1480, 3765, 325, 28232, 267, 8659, 538, 519, 7121, 540, 519, 10700, 3510, 540, 812, 267, 6770, 721, 547, 519, 7706, 540, 9409, 540, 519, 824, 2186, 267, 799, 568, 607, 538, 1260, 11772, 1043, 607, 519, 9409, 4611, 689, 1480, 2962, 281, 12077, 519, 9409, 799, 812, 2833, 538, 519, 1158, 267, 17640, 547, 519, 2497, 540, 4641, 538, 799, 646, 568, 2713, 269, 769, 808, 5684, 619, 262, 960, 267, 713, 2034, 2186, 540, 9409, 568, 6829, 538, 2474, 602, 616, 1808, 547, 1010, 6138, 269, 1656, 865, 519, 32475, 15449, 908, 1480, 1272, 616, 2907, 547, 581, 1336, 538, 808, 5684, 619, 262, 1101, 960, 540, 6138, 267, 1010, 5369, 860, 773, 3541, 654, 3881, 753, 577, 879, 684, 2102, 538, 2474, 540, 519, 834, 656, 514, 5669, 2497, 540, 519, 667, 848, 514, 257, 630, 303, 310, 476, 22446, 268, 5325, 1040, 2494, 781, 1373, 14324, 1063, 32475, 267, 519, 5821, 646, 2833, 538, 519, 1576, 540, 1010, 1272, 267, 568, 2663, 1572, 13653, 532, 630, 306, 3832, 527, 1716, 1040, 769, 1010, 11096, 2684, 773, 808, 5684, 619, 849, 4967, 602, 519, 1884, 514, 5669, 2497, 540, 519, 1158, 19752, 519, 3668, 540, 10700, 20106, 269, 898, 5526, 834, 553, 519, 27945, 3765, 2044, 1369, 519, 1158, 257, 630, 303, 2862, 476, 7742, 1040, 10598, 18356, 543, 538, 1410, 2364, 1464, 540, 812, 781, 3510, 616, 1034, 900, 874, 5597, 6829, 538, 1010, 6609, 540, 10465, 3871, 630, 294, 1066, 345, 338, 527, 6672, 523, 1070, 799, 616, 11840, 725, 540, 519, 10700, 3510, 630, 294, 745, 2738, 527, 6672, 28931, 297, 5684, 619, 13000, 891, 2907, 538, 1010, 1101, 960, 540, 6138, 267, 2663, 21040, 873, 538, 1010, 11096, 2684, 773, 267, 543, 7024, 547, 873, 538, 1010, 7766, 1568, 563, 1103, 812, 781, 10700, 3510, 267, 824, 5686, 540, 3765, 325, 28232, 616, 849, 8659, 282, 741, 2707, 568, 14084, 538, 519, 1360, 2470, 540, 4641, 269, 1358, 5614, 689, 519, 1249, 602, 950, 9117, 267, 812, 8188, 12808, 5079, 267, 543, 646, 568, 2760, 2111, 547, 8275, 782, 519, 3681, 269, 1879, 7446, 1010, 2619, 267, 646, 12034, 824, 10092, 602, 646, 814, 711, 5697, 267, 543, 676, 16734, 835, 7872, 267, 646, 7947, 338, 543, 2144, 1162, 824, 7399, 269, 3962, 3350, 689, 519, 20581, 540, 7399, 547, 519, 13113, 4641, 1797, 9561, 782, 519, 824, 8458, 11014, 269, 901, 2530, 3123, 812, 547, 1745, 513, 2631, 540, 771, 20880, 267, 543, 849, 513, 2631, 540, 16203, 282, 621, 7959, 899, 607, 952, 646, 729, 9561, 513, 851, 540, 5128, 267, 12077, 267, 519, 851, 602, 646, 786, 2760, 581, 2111, 547, 8275, 269, 808, 5684, 619, 2798, 547, 812, 781, 8984, 8321, 566, 547, 4628, 8275, 1010, 7399, 267, 547, 1582, 3146, 531, 1436, 267, 799, 1131, 1611, 8236, 835, 781, 1378, 1367, 19870, 269, 1809, 267, 607, 808, 5684, 619, 2829, 281, 834, 7224, 812, 666, 4890, 1125, 782, 602, 6013, 1369, 1864, 257, 630, 22333, 302, 476, 22332, 1040, 4475, 267, 812, 6544, 1161, 519, 3903, 540, 835, 7872, 693, 519, 1942, 540, 824, 7399, 607, 1582, 29438, 2787, 267, 607, 1272, 538, 7522, 1145, 630, 5319, 613, 1070, 799, 859, 10280, 519, 4743, 540, 6650, 325, 1254, 543, 519, 1671, 5224, 4743, 540, 16203, 269, 1306, 513, 5114, 547, 713, 267, 646, 16858, 547, 2611, 538, 519, 7706, 540, 7872, 267, 543, 646, 759, 1235, 4641, 630, 1598, 7564, 889, 339, 521, 747, 575, 1122, 523, 3541, 7464, 28059, 1040, 808, 5684, 619, 568, 11874, 2565, 2509, 519, 21084, 540, 9525, 543, 2921, 5539, 267, 2864, 646, 15156, 10100, 3585, 16561, 835, 781, 7687, 267, 16460, 585, 519, 3903, 835, 814, 1500, 267, 543, 6967, 21705, 547, 835, 781, 3375, 269, 901, 2909, 1324, 835, 781, 9808, 14923, 568, 10483, 609, 519, 27069, 16203, 4611, 689, 519, 10343, 540, 13951, 538, 835, 781, 7687, 269, 5020, 781, 3765, 325, 28232, 814, 922, 2707, 538, 519, 15739, 32735, 1063, 1018, 812, 13821, 607, 2407, 19870, 267, 519, 4998, 267, 543, 602, 547, 799, 646, 568, 798, 15701, 269, 1261, 14621, 713, 7287, 607, 513, 2186, 540, 1582, 1673, 601, 4288, 267, 585, 952, 812, 6499, 547, 3251, 9800, 267, 646, 1590, 1205, 3238, 609, 519, 1158, 267, 543, 713, 1797, 602, 646, 3112, 2057, 713, 1106, 540, 3765, 2044, 267, 12077, 267, 2713, 15392, 6650, 325, 1254, 269, 3371, 649, 1294, 519, 12491, 527, 1464, 267, 799, 568, 8984, 585, 808, 5684, 619, 262, 10465, 3510, 540, 16203, 281, 812, 568, 16944, 267, 950, 646, 4991, 3238, 267, 1317, 538, 713, 2013, 646, 2729, 538, 519, 32560, 540, 1010, 7399, 282, 543, 646, 568, 16944, 1932, 950, 646, 1281, 711, 1205, 3238, 267, 1317, 1287, 1010, 1272, 19330, 3978, 1145, 563, 297, 5684, 619, 9607, 519, 2085, 6040, 1966, 540, 519, 4128, 585, 1480, 3765, 325, 28232, 607, 621, 2164, 689, 1480, 2962, 543, 849, 25701, 547, 519, 2497, 540, 519, 1158, 269, 1261, 13514, 519, 1390, 2243, 267, 799, 8952, 13059, 538, 519, 1686, 540, 6138, 281, 945, 568, 16944, 540, 519, 21379, 1952, 1465, 543, 9409, 538, 519, 1158, 267, 945, 568, 3743, 585, 621, 286, 834, 2252, 594, 6785, 519, 4098, 540, 1250, 16203, 267, 621, 1131, 1831, 16876, 543, 2057, 762, 282, 1250, 5191, 1131, 1118, 621, 2009, 547, 2057, 621, 257, 630, 303, 2862, 476, 3192, 1040, 1403, 1480, 2962, 568, 519, 2707, 540, 9409, 267, 1287, 609, 519, 2631, 540, 16203, 602, 812, 7959, 14340, 8969, 607, 547, 519, 1360, 7872, 540, 3257, 9409, 267, 799, 646, 9060, 538, 5128, 607, 2016, 282, 543, 646, 12134, 945, 568, 16944, 267, 2436, 646, 666, 581, 16944, 269, 808, 5684, 619, 262, 4661, 566, 14509, 912, 296, 917, 8885, 607, 3743, 282, 4061, 267, 594, 1590, 581, 267, 538, 930, 2631, 267, 1863, 267, 594, 1831, 16944, 269, 1809, 945, 267, 610, 1018, 267, 568, 16944, 540, 803, 1373, 1863, 538, 519, 2631, 540, 519, 7872, 3562, 1532, 22877, 28621, 14923, 267, 519, 13766, 3562, 1532, 22877, 28621, 14923, 286, 1496, 22333, 302, 476, 4391, 273, 2639, 297, 5684, 619, 10530, 1585, 2757, 8942, 547, 2626, 519, 2243, 607, 547, 519, 2014, 540, 1312, 3765, 325, 28232, 267, 543, 9409, 538, 519, 1158, 267, 5539, 585, 873, 267, 543, 849, 585, 16203, 281, 519, 737, 12609, 543, 519, 18993, 12568, 540, 20339, 267, 519, 717, 333, 8251, 2239, 593, 519, 2887, 540, 23109, 267, 519, 4168, 1612, 762, 540, 519, 1101, 3237, 15673, 539, 676, 519, 1583, 25871, 543, 27052, 609, 1163, 13955, 689, 21537, 1047, 267, 519, 13400, 1650, 540, 16763, 267, 519, 1523, 540, 2392, 652, 1588, 267, 543, 18573, 781, 9661, 540, 519, 1158, 781, 5137, 856, 540, 14784, 676, 519, 5915, 328, 25973, 282, 538, 1010, 6644, 267, 9039, 540, 891, 6436, 2488, 513, 20310, 7778, 585, 519, 6228, 540, 9409, 563, 3891, 5128, 23083, 513, 29916, 540, 19969, 630, 16446, 28727, 651, 527, 1070, 1141, 519, 4527, 540, 9409, 568, 5693, 9228, 269, 901, 19969, 3340, 519, 8226, 540, 519, 1114, 10092, 602, 1004, 3442, 543, 602, 789, 1246, 267, 8537, 540, 519, 2619, 547, 4986, 1145, 538, 519, 6612, 585, 519, 3781, 630, 8867, 573, 839, 577, 10762, 1990, 584, 715, 25638, 1040, 17607, 540, 519, 1249, 602, 891, 5079, 2291, 538, 519, 1158, 1281, 711, 1450, 585, 606, 2653, 27277, 267, 610, 585, 16765, 1582, 21873, 282, 621, 15156, 16434, 344, 2509, 835, 781, 1378, 2619, 267, 1247, 9963, 1996, 2565, 10385, 269, 808, 5684, 619, 1281, 711, 18149, 333, 713, 2619, 540, 6612, 585, 519, 3781, 267, 855, 646, 7125, 621, 519, 18418, 2299, 7118, 652, 835, 630, 323, 553, 2357, 345, 933, 604, 331, 2426, 12364, 565, 548, 21321, 4614, 1070, 3976, 23243, 621, 689, 5667, 518, 1190, 1272, 609, 1100, 9525, 269, 898, 1058, 581, 14129, 267, 2705, 267, 602, 519, 4656, 540, 519, 2619, 547, 21933, 28375, 267, 519, 2619, 540, 9552, 540, 13951, 543, 540, 519, 1866, 267, 519, 8226, 540, 621, 543, 1256, 267, 607, 646, 11099, 267, 519, 2463, 585, 621, 267, 1281, 711, 1611, 267, 538, 1010, 2070, 267, 519, 10343, 540, 1253, 25344, 543, 9844, 972, 1729, 267, 855, 2864, 6849, 873, 676, 1259, 540, 2792, 538, 513, 15962, 6560, 630, 12340, 321, 754, 523, 918, 2086, 325, 267, 623, 2862, 476, 10170, 1916, 1103, 3017, 547, 519, 23019, 2245, 540, 519, 4639, 267, 808, 5684, 619, 1281, 711, 10460, 519, 2243, 540, 519, 1158, 17082, 781, 5539, 585, 519, 1158, 267, 646, 1281, 711, 934, 2224, 2696, 267, 6862, 1281, 646, 1459, 513, 519, 617, 5390, 269, 1261, 11099, 602, 812, 3112, 16620, 10143, 3690, 345, 754, 20044, 585, 9409, 267, 607, 519, 10143, 3690, 345, 754, 20044, 3112, 581, 24565, 676, 1480, 6688, 540, 1434, 543, 9409, 269, 1280, 808, 5684, 619, 267, 593, 519, 835, 1688, 267, 519, 2347, 26968, 1464, 540, 3690, 345, 754, 20044, 267, 2147, 547, 519, 2347, 538, 1260, 11772, 2225, 540, 2696, 585, 918, 1512, 651, 8615, 731, 267, 2306, 621, 7543, 547, 1780, 5837, 10385, 538, 6688, 540, 14619, 267, 5539, 267, 543, 16203, 269, 2201, 519, 824, 1688, 267, 808, 5684, 619, 30877, 602, 519, 1480, 2631, 540, 5126, 3340, 4466, 519, 16944, 5428, 945, 666, 581, 30199, 585, 782, 519, 1158, 781, 859, 2812, 543, 782, 519, 1480, 20541, 687, 267, 607, 812, 5128, 1281, 711, 1745, 646, 568, 519, 2278, 540, 971, 513, 1158, 563, 3674, 972, 267, 1287, 267, 1100, 16944, 5428, 282, 568, 4896, 3743, 585, 9409, 538, 519, 1158, 286, 8786, 543, 1100, 269, 1284, 3314, 602, 808, 5684, 619, 4956, 569, 13187, 267, 607, 2907, 7074, 267, 602, 519, 9409, 538, 519, 1158, 568, 1483, 543, 3112, 581, 6569, 267, 543, 922, 4641, 1797, 9552, 1247, 834, 6343, 30001, 1590, 581, 1945, 2507, 13757, 547, 2291, 269, 5345, 559, 2507, 529, 1862, 514, 3294, 513, 22800, 10779, 776, 267, 621, 568, 519, 23998, 267, 799, 20555, 2390, 3294, 257, 630, 22333, 302, 476, 4391, 272, 268, 273, 1040, 1656, 1256, 5310, 267, 607, 808, 5684, 619, 4667, 547, 581, 9963, 721, 267, 621, 666, 1831, 606, 22023, 626, 1043, 1379, 269, 1717, 267, 646, 11099, 602, 5275, 519, 2959, 540, 9409, 4540, 538, 519, 1158, 12341, 3564, 713, 1158, 267, 568, 711, 20582, 689, 519, 856, 3553, 267, 585, 950, 649, 3914, 3564, 519, 1158, 547, 922, 12806, 543, 5169, 267, 649, 991, 547, 10205, 519, 546, 7081, 538, 799, 649, 5431, 543, 9794, 1919, 538, 519, 1158, 267, 1141, 834, 6343, 6818, 585, 721, 267, 543, 1018, 649, 616, 267, 568, 16135, 538, 32475, 257, 630, 22333, 302, 476, 3607, 280, 1040, 1809, 267, 2094, 693, 519, 12806, 540, 9861, 538, 3690, 345, 754, 20044, 607, 6956, 676, 808, 5684, 619, 1765, 718, 32475, 267, 610, 1727, 657, 2572, 267, 14897, 267, 649, 3112, 917, 621, 267, 607, 6616, 2141, 4386, 676, 1797, 540, 5104, 868, 777, 3789, 269, 808, 5684, 619, 6811, 602, 2696, 6487, 9444, 9409, 267, 6862, 1434, 269, 1280, 808, 5684, 619, 267, 899, 585, 18573, 267, 12142, 27596, 267, 610, 918, 1512, 651, 8615, 731, 267, 2696, 568, 3564, 9409, 269, 901, 1131, 2491, 808, 5684, 619, 262, 2070, 602, 9409, 568, 711, 6207, 538, 1915, 267, 602, 621, 568, 711, 606, 3063, 268, 614, 14111, 1379, 267, 855, 602, 621, 568, 8723, 267, 602, 568, 267, 621, 568, 1480, 543, 540, 713, 1158, 563, 297, 5684, 619, 6941, 602, 834, 5271, 559, 267, 585, 721, 267, 6013, 1369, 519, 7613, 540, 942, 2437, 4061, 649, 3112, 2307, 585, 922, 2707, 676, 1259, 540, 7432, 2509, 9861, 267, 799, 568, 3544, 942, 269, 634, 5748, 540, 9861, 568, 519, 1747, 267, 1141, 782, 2219, 13515, 267, 543, 834, 933, 616, 2451, 609, 519, 8223, 540, 519, 538, 1260, 11772, 1043, 257, 630, 22333, 302, 476, 4343, 274, 1916, 297, 5684, 619, 26136, 1256, 2417, 267, 950, 646, 2829, 602, 711, 1152, 649, 3112, 9794, 2696, 9789, 1158, 781, 5748, 267, 607, 6967 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 14674, 519, 2101, 2609, 540, 519, 9069, 1014, 16510, 543, 875, 621, 4299, 1312, 589, 1067, 785, 2103, 543, 17417, 269, 2368, 2560, 17555, 21540, 1667, 781, 9255, 538, 9085, 543, 25827, 3778, 281, 589, 22414, 269, 21887, 674, 3949, 577, 337, 3424, 24166, 12138, 5153, 7315, 1315, 10749, 547, 27254, 12138, 5153, 7315, 269, 630, 23682, 5112, 281, 8834, 10371, 9069, 1014, 2372, 514, 1417, 32418, 476, 14983, 273, 268, 1960, 273, 267, 634, 11882, 3557, 2160, 630, 18550, 476, 1960, 271, 264, 476, 1960, 278, 594, 3918, 311, 4139, 3194, 1299, 1401, 577, 5190, 8274, 9886, 269, 22436, 543, 4334, 1557, 593, 21944, 6006, 2344, 269, 21362, 1229, 12016, 3382, 4484, 16075, 1557, 282, 6476, 543, 4879, 6392, 3667, 3796, 543, 563, 15037, 476, 2767, 267, 476, 1001, 277, 5788, 6673, 5049, 666, 589, 1377, 7005, 6476, 1557, 1404, 513, 1713, 1909, 3284, 1158, 897, 3518, 1014, 5385, 1557, 538, 519, 2852, 23504, 1184, 31677, 897, 3518, 1014, 5385, 1557, 634, 1523, 540, 1702, 4346, 11876, 951, 1472, 519, 13345, 540, 1702, 543, 1344, 607, 513, 11327, 10697, 269, 901, 1062, 540, 4438, 519, 3735, 476, 9610, 271, 338, 267, 1272, 729, 2241, 585, 519, 12075, 269, 15391, 532, 267, 11018, 267, 543, 2182, 960, 10838, 519, 2367, 543, 2021, 540, 519, 11031, 729, 3811, 585, 873, 269, 9484, 476, 1321, 267, 476, 1001, 272, 5788, 700, 2329, 281, 1403, 596, 1705, 660, 2285, 803, 519, 897, 3518, 1014, 5385, 267, 2063, 3781, 1131, 557, 647, 22486, 256, 676, 7377, 11985, 19594, 476, 7597, 4728, 476, 1839, 267, 476, 1001, 275, 476, 275, 476, 1691, 269, 16179, 519, 544, 1872, 269, 476, 275, 9069, 1014, 16510, 563, 16360, 23565, 8862, 584, 1777, 1897, 326, 1040, 13354, 1557, 5098, 10959, 476, 273, 269, 737, 20393, 572, 14193, 12028, 28739, 11634, 516, 756, 523, 1547, 897, 3518, 1014, 5385, 14181, 997, 1127, 1323, 327, 5306, 630, 306, 1314, 3415, 268, 2304, 327, 5306, 1070, 2098, 592, 335, 747, 630, 22139, 9069, 1014, 16510, 4828, 4828, 9069, 1014, 16510, 4828, 543, 936, 824, 476, 1839, 267, 1822, 266, 1863, 2165, 4574, 267, 3594, 543, 1382, 4574, 1806, 616, 2139, 593, 519, 2560, 595, 4592, 2421, 267, 21238, 654, 12727, 634, 9069, 1014, 16831, 1137, 267, 519, 9069, 1014, 5385, 267, 543, 741, 12206, 630, 32487, 593, 2518, 543, 13354, 1686, 267, 6115, 476, 2735, 278, 1040, 4354, 339, 514, 269, 9069, 1014, 16510, 634, 9069, 1014, 16510, 1548, 568, 634, 9069, 1014, 16510, 286, 898, 729, 606, 5385, 540, 5370, 971, 607, 4978, 267, 2093, 267, 2831, 267, 2371, 267, 6693, 10403, 897, 3518, 1014, 5385, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 543, 9604, 269, 1496, 15912, 281, 22252, 894, 4828, 316, 476, 10482, 275, 1913, 630, 274, 269, 272, 3817, 264, 16200, 10749, 763, 897, 3518, 1014, 5385, 1557, 7734, 7734, 12261, 689, 1776, 1893, 1058, 1331, 519, 2063, 2012, 543, 1101, 3355, 540, 519, 2278, 267, 1215, 547, 1166, 7398, 899, 513, 13084, 630, 13318, 1737, 540, 3284, 721, 2229, 1557, 2055, 513, 269, 1603, 513, 3594, 1382, 3284, 1158, 13354, 1557, 5098, 1383, 1557, 1101, 3284, 20789, 24563, 336, 1557, 3732, 3284, 1158, 897, 3518, 1014, 5385, 1557, 1656, 15348, 269, 1323, 1557, 610, 1957, 593, 634, 9069, 1014, 16510, 4828, 269, 12344, 835, 540, 519, 1034, 7986, 2934, 540, 2518, 7269, 543, 3408, 602, 7018, 1282, 519, 2619, 540, 0, 289, 611, 7963, 2328, 1055, 4760, 7127, 1448, 454, 30787, 5455, 14190, 766, 585, 14068, 32124, 3590, 281, 2920, 783, 3983, 22440, 1282, 2883, 1032, 8694, 476, 4029, 5412, 616, 2854, 1055, 1996, 27108, 585, 8969, 995, 6589, 607, 5205, 281, 8786, 3143, 18391, 585, 5796, 689, 824, 1870, 5411, 286, 1215, 798, 6427, 1559, 6336, 1871, 888, 5445, 798, 713, 676, 2921, 3983, 11546, 23336, 9276, 543, 7900, 2328, 32187, 269, 589, 3983, 11546, 23336, 13258, 9027, 919, 2104, 9271, 267, 1247, 513, 2328, 11325, 568, 513, 1433, 15209, 23603, 602, 3274, 26342, 602, 513, 2530, 814, 7018, 563, 2704, 869, 766, 14301, 593, 741, 1378, 530, 326, 924, 267, 513, 2754, 781, 9946, 1058, 723, 513, 2489, 2856, 875, 1454, 540, 519, 2754, 781, 6589, 2256, 22133, 4534, 922, 5561, 262, 14222, 12014, 4534, 786, 6038, 979, 10002, 4660, 269, 19098, 4441, 2154, 602, 3549, 2226, 606, 834, 9994, 766, 257, 585, 741, 7447, 540, 1346, 796, 3712, 937, 1043, 12014, 563, 2690, 811, 593, 1603, 1055, 3983, 7963, 267, 1294, 14190, 766, 585, 8935, 23336, 995, 32439, 269, 5675, 1055, 519, 7963, 5713, 1152, 547, 2087, 519, 2754, 781, 6111, 538, 8051, 269, 898, 568, 606, 8051, 6240, 10876, 602, 7221, 616, 547, 581, 12595, 8308, 543, 1483, 12264, 269, 14190, 766, 585, 14068, 32124, 3590, 1325, 2819, 5590, 5455, 543, 9861, 13242, 281, 3733, 6075, 6976, 1018, 789, 7640, 539, 1310, 594, 1185, 2854, 621, 1055, 607, 3983, 7963, 563, 294, 611, 1383, 267, 952, 707, 2754, 781, 1995, 6645, 596, 602, 476, 272, 269, 14068, 32124, 5890, 1619, 1879, 513, 2754, 2115, 547, 1039, 547, 922, 27108, 267, 621, 1281, 865, 676, 10916, 513, 3983, 11546, 23336, 7127, 344, 585, 519, 2556, 2179, 563, 5978, 4760, 2328, 7963, 1055, 1448, 7127, 3983, 519, 5354, 454, 30860, 602, 596, 2594, 519, 3983, 11546, 23336, 13258, 4534, 543, 4061, 2569, 707, 7443, 4534, 1152, 538, 24736, 540, 5561, 17528, 547, 2628, 741, 12014, 269, 3143, 22440, 723, 2965, 8854, 3983, 2943, 269, 901, 5205, 519, 8051, 6240, 540, 11122, 32236, 281, 589, 2754, 1058, 2760, 936, 8063, 922, 7221, 267, 543, 17528, 547, 5431, 602, 1978, 6075, 12014, 4465, 1405, 581, 6976, 1131, 936, 8063, 519, 1871, 540, 6589, 2256, 22133, 267, 799, 568, 606, 10697, 563, 2237, 14114, 742, 338, 2311, 930, 1448, 513, 7963, 786, 2965, 979, 3983, 4534, 513, 6075, 786, 3111, 547, 2628, 513, 3915, 585, 1279, 2614, 602, 519, 2754, 20147, 602, 519, 2272, 568, 796, 3712, 937, 1043, 269, 1879, 602, 4523, 267, 519, 2754, 11339, 1055, 519, 7963, 563, 15187, 6589, 2256, 22133, 3788, 519, 1482, 281, 634, 2328, 11325, 3085, 1405, 2047, 1860, 707, 2754, 781, 20656, 1317, 596, 4312, 2907, 834, 10339, 10234, 257, 519, 3983, 7963, 269, 1717, 267, 596, 949, 991, 547, 1651, 584, 513, 1007, 3983, 7963, 13258, 547, 25579, 880, 737, 16067, 27108, 563, 268, 901, 10035, 786, 711, 1397, 909, 593, 1045, 7860, 952, 596, 798, 1870, 609, 873, 593, 513, 6666, 26209, 4493, 282, 2705, 267, 621, 786, 1397, 909, 538, 8638, 543, 5359, 543, 950, 596, 2824, 741, 2012, 547, 1711, 513, 6455, 11834, 563, 268, 8564, 11426, 619, 693, 519, 1283, 563, 268, 1358, 798, 713, 676, 2921, 3983, 11546, 23336, 9276, 543, 7900, 2328, 32187, 563, 32451, 4149, 332, 718, 14190, 766, 898, 781, 2009, 547, 30391, 875, 2462, 540, 606, 27108, 596, 991, 547, 2226, 585, 796, 3712, 937, 1043, 6589, 269, 898, 781, 849, 2009, 602, 606, 29099, 1804, 7963, 786, 979, 3983, 267, 11566, 519, 27108, 596, 4312, 1305, 11735, 563, 2237, 7963, 4760, 1448, 7127, 1055, 3983, 856, 454, 1103, 2901, 2013, 267, 596, 1522, 1439, 909, 2348, 547, 2328, 1055, 606, 2179, 3152, 982, 519, 1699, 3666, 540, 707, 27108, 269, 1879, 602, 4523, 267, 596, 3513, 991, 547, 5612, 2594, 513, 737, 742, 13258, 547, 1205, 707, 27108, 834, 322, 4381, 909, 2437, 543, 1287, 2328, 1055, 519, 3983, 7963, 269, 1261, 814, 8329, 547, 7330, 4653, 267, 634, 2677, 7720, 1149, 19193, 543, 14568, 23467, 543, 25052, 257, 21504, 725, 563, 30772, 267, 519, 2754, 949, 3442, 3079, 547, 3277, 519, 7963, 547, 513, 4015, 3028, 610, 547, 741, 17864, 3983, 7963, 2328, 1055, 4760, 7127, 1448, 2417, 3656, 2962, 269, 7201, 1826, 267, 795, 329, 16067, 2480, 1117, 27968, 543, 1287, 1305, 5551, 8884, 585, 519, 10959, 269, 15048, 540, 17477, 15271, 4880, 4747, 4880, 7443, 689, 519, 20677, 3948, 5222, 519, 15048, 540, 17477, 15271, 538, 1079, 2081, 269, 2201, 519, 2034, 7412, 281, 634, 2328, 11325, 3085, 1405, 2047, 1860, 707, 2754, 781, 20656, 1317, 596, 4312, 2907, 834, 10339, 10234, 257, 519, 3983, 7963, 269, 15048, 540, 2242, 538, 2883, 2990, 22418, 2095, 3948, 14068, 7963, 13258, 849, 5526, 607, 513, 1875, 6666, 13258, 6221, 593, 519, 15048, 540, 2242, 538, 2883, 2990, 22418, 2095, 3948, 563, 30560, 761, 339, 2707, 513, 19761, 4110, 689, 19537, 651, 2160, 543, 568, 13197, 606, 32233, 689, 519, 2160, 540, 19578, 269, 0, 24610, 8654, 5547, 6516, 267, 2241, 2777, 8654, 5547, 6516, 267, 2777, 8654, 5547, 11443, 6516, 267, 3366, 1753, 8654, 5547, 6516, 476, 15996, 341, 267, 3366, 1753, 8654, 5547, 6516, 454, 1103, 519, 2680, 596, 1589, 827, 519, 6516, 596, 786, 7747, 519, 5547, 3568, 519, 2599, 267, 20794, 267, 2837, 9300, 267, 10814, 267, 7132, 513, 17120, 267, 4122, 519, 2599, 1852, 9074, 269, 5600, 31786, 18065, 12810, 568, 2731, 13604, 4843, 519, 2866, 960, 543, 1287, 14764, 269, 5269, 2386, 602, 596, 946, 519, 11443, 6516, 538, 2013, 596, 1118, 519, 1034, 540, 513, 12093, 521, 935, 576, 269, 1280, 713, 2601, 267, 596, 1058, 2049, 1310, 519, 11443, 2497, 547, 581, 2111, 547, 1711, 519, 5911, 568, 16119, 593, 519, 5201, 269, 1403, 596, 23491, 519, 11443, 6516, 1369, 713, 1557, 621, 11129, 547, 1831, 3551, 269, 5600, 31786, 18065, 12810, 666, 581, 1175, 513, 16866, 2757, 3182, 3645, 6041, 540, 606, 3167, 5547, 269, 898, 2982, 519, 3334, 540, 519, 5547, 607, 16866, 5546, 267, 543, 849, 519, 5365, 543, 1379, 4296, 538, 1063, 519, 17102, 269, 4014, 1312, 1804, 993, 704, 720, 543, 6453, 949, 1611, 8594, 693, 519, 2680, 7081, 540, 513, 1379, 795, 27117, 267, 519, 2040, 540, 993, 704, 720, 2838, 547, 1205, 513, 6180, 531, 795, 27117, 666, 1599, 16434, 607, 476, 3199, 332, 288, 269, 774, 755, 515, 2362, 1459, 1223, 581, 3648, 811, 5739, 982, 2362, 6453, 282, 2705, 267, 2094, 6453, 543, 993, 704, 720, 616, 14354, 630, 514, 2829, 602, 2709, 519, 3169, 12046, 1070, 476, 8099, 341, 12992, 568, 2356, 2808, 1447, 13818, 547, 960, 609, 1317, 621, 18252, 7864, 2148, 543, 607, 971, 666, 1152, 2063, 3368, 607, 1454, 1699, 2094, 476, 13136, 341, 11443, 269, 4014, 621, 2731, 568, 513, 1249, 602, 476, 13136, 341, 2115, 1447, 1459, 547, 5838, 10502, 519, 3169, 1482, 2179, 540, 1379, 267, 607, 7074, 1657, 267, 621, 666, 1869, 4163, 513, 2603, 811, 1699, 543, 13514, 513, 2362, 1981, 540, 4049, 8194, 269, 17166, 513, 1753, 28265, 518, 786, 2154, 547, 2327, 519, 2168, 3135, 540, 5122, 19093, 543, 1769, 26892, 609, 513, 11443, 1544, 547, 2061, 7199, 2042, 543, 2679, 3009, 1055, 5151, 269, 5600, 31786, 18065, 12810, 7866, 519, 1259, 519, 12904, 616, 782, 4448, 543, 1141, 789, 1058, 4092, 3330, 519, 4890, 17102, 267, 607, 1134, 607, 519, 15629, 4296, 1063, 782, 1346, 3334, 563, 2710, 621, 3054, 12439, 946, 11443, 12222, 855, 789, 2461, 849, 1455, 538, 2777, 2679, 543, 18914, 11808, 269, 589, 11443, 6516, 568, 1175, 513, 3551, 7298, 6041, 540, 519, 15629, 4296, 543, 2168, 11768, 540, 606, 19491, 3740, 1505, 610, 5547, 269, 898, 15225, 519, 1259, 513, 3167, 12904, 616, 4448, 543, 666, 849, 1397, 1141, 3334, 543, 26892, 1223, 7654, 581, 4448, 547, 519, 3926, 269, 634, 3017, 1063, 513, 11443, 6516, 543, 1374, 1223, 581, 519, 28176, 1175, 10525, 519, 1544, 543, 1599, 547, 1205, 513, 3167, 5547, 267, 855, 568, 711, 6857, 540, 782, 519, 2168, 1374, 540, 891, 15791, 563, 25219, 559, 1125, 11443, 12222, 547, 4217, 538, 5663, 610, 2679, 519, 5547, 610, 3059, 8254, 269, 769, 1840, 267, 789, 616, 3730, 585, 1818, 18203, 269, 0, 27039, 593, 519, 4342, 749, 807, 3099, 267, 519, 2371, 786, 1332, 547, 513, 1804, 2450, 269, 1403, 711, 929, 25293, 267, 4342, 749, 807, 26965, 786, 2253, 547, 723, 5544, 1399, 18742, 543, 1804, 2127, 609, 3039, 3762, 269, 3683, 3476, 5712, 267, 519, 3039, 21364, 2127, 786, 2253, 547, 6094, 267, 4929, 1804, 2127, 540, 11953, 6565, 2208, 609, 1100, 3039, 2044, 269, 6682, 749, 5362, 616, 1655, 929, 25293, 1169, 1906, 1296, 269, 1715, 5229, 2208, 5956, 1175, 1310, 16036, 4620, 531, 2887, 269, 634, 1655, 942, 547, 32566, 513, 4342, 749, 807, 17382, 568, 1175, 1310, 16036, 4620, 531, 2887, 563, 7230, 913, 782, 7745, 543, 4666, 8371, 609, 519, 18309, 1352 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3756, 949, 581, 4483, 762, 547, 824, 2127, 540, 1272, 269, 1280, 1383, 267, 519, 8901, 7744, 1983, 2919, 998, 681, 4811, 29863, 949, 581, 3730, 538, 4610, 971, 607, 6189, 267, 4702, 267, 543, 1374, 563, 12234, 267, 519, 3818, 2389, 27965, 543, 2324, 3965, 1983, 2919, 998, 681, 4811, 29863, 949, 581, 3730, 538, 513, 3099, 540, 1164, 25774, 267, 1164, 3613, 1389, 3871, 267, 971, 607, 5883, 513, 11112, 24913, 610, 1818, 2656, 3664, 538, 513, 6433, 563, 14454, 267, 1247, 519, 2963, 568, 1869, 10169, 3908, 267, 972, 568, 930, 19583, 602, 681, 4811, 3756, 949, 4196, 607, 513, 5042, 2866, 1907, 267, 5355, 1983, 602, 616, 3407, 1312, 538, 543, 856, 540, 519, 11080, 1158, 563, 18600, 28131, 10241, 543, 8892, 3194, 19648, 454, 305, 4811, 3756, 723, 7152, 1761, 607, 5042, 2866, 2645, 267, 609, 2090, 11021, 602, 789, 666, 3986, 1585, 5042, 5759, 269, 1717, 267, 621, 568, 2629, 547, 2263, 1483, 8996, 3156, 543, 2697, 2127, 585, 2104, 1382, 547, 1174, 519, 2407, 9165, 540, 681, 4811, 3756, 685, 5042, 2640, 563, 26670, 3496, 17423, 5336, 1136, 543, 9046, 4149, 6295, 10341, 454, 305, 4811, 3756, 666, 1683, 513, 3407, 3760, 585, 5355, 3375, 6194, 543, 1966, 9010, 1983, 267, 607, 5716, 1590, 2708, 6422, 5054, 267, 6218, 2789, 3681, 267, 543, 1118, 7580, 3664, 538, 1483, 6066, 269, 1452, 1983, 616, 4483, 762, 547, 1483, 8996, 3871, 267, 971, 607, 4108, 543, 1870, 4640, 267, 543, 1223, 723, 6286, 585, 5718, 1646, 543, 28365, 4058, 563, 18719, 1324, 5564, 527, 27965, 543, 5384, 5004, 454, 305, 4811, 3756, 1419, 2154, 5716, 547, 4383, 2789, 4247, 8195, 267, 971, 607, 2679, 3889, 267, 11018, 2200, 267, 543, 4971, 532, 4559, 269, 901, 3818, 2389, 27965, 2702, 666, 581, 4294, 547, 1483, 8996, 7653, 267, 1141, 2043, 1590, 4225, 4247, 543, 21138, 942, 7561, 269, 681, 4811, 3756, 949, 267, 4061, 267, 723, 1761, 3156, 538, 2866, 585, 942, 25259, 22825, 267, 971, 607, 6595, 2533, 610, 1788, 2359, 563, 22025, 1113, 585, 15465, 29407, 454, 305, 4811, 3756, 1522, 849, 723, 1761, 3156, 538, 5042, 14317, 585, 2043, 609, 14715, 4713, 610, 7063, 269, 1635, 2502, 538, 681, 4811, 3756, 267, 891, 2043, 1223, 2259, 7580, 3206, 267, 1966, 9010, 267, 543, 3375, 6194, 267, 799, 949, 948, 547, 2087, 741, 5042, 8647, 269, 4329, 1382, 568, 2877, 547, 2263, 519, 1761, 540, 681, 4811, 3756, 607, 14317, 2645, 543, 547, 1020, 3358, 7459, 585, 1114, 3461, 5095, 563, 22091, 21505, 519, 2480, 2100, 540, 3194, 454, 4407, 519, 4540, 1382, 593, 681, 4811, 3756, 543, 5042, 5759, 2488, 3407, 4030, 267, 972, 568, 1869, 1454, 547, 581, 8268, 269, 8892, 1382, 1058, 8495, 519, 1279, 3856, 2360, 540, 681, 4811, 3014, 1404, 593, 5042, 1646, 267, 2015, 1367, 3604, 538, 1565, 6163, 543, 3014, 7375, 267, 543, 4983, 519, 1764, 540, 1114, 11964, 543, 3014, 6272, 593, 5042, 4093, 269, 3958, 267, 811, 2090, 616, 2877, 547, 3715, 21465, 3347, 1063, 681, 4811, 3014, 1404, 543, 5042, 6454, 267, 607, 1134, 607, 547, 2697, 519, 1808, 6127, 998, 799, 11080, 5540, 17133, 563, 30655, 566, 1063, 12824, 543, 10794, 3763, 619, 454, 30655, 566, 1063, 3173, 543, 3014, 9367, 568, 2629, 585, 14027, 519, 1620, 540, 681, 4811, 3756, 685, 5042, 2640, 543, 21924, 741, 1761, 607, 5042, 2866, 2645, 269, 1635, 2324, 1927, 267, 3173, 666, 1683, 4030, 883, 519, 5817, 5042, 3157, 543, 1683, 5583, 593, 3014, 1374, 2934, 602, 3986, 5042, 1646, 269, 10794, 9367, 267, 593, 519, 824, 1688, 267, 666, 6451, 891, 4030, 883, 519, 1374, 540, 1007, 3756, 610, 12189, 4540, 3756, 547, 11126, 741, 5042, 2640, 269, 901, 5698, 1223, 1291, 547, 519, 1646, 540, 811, 2500, 543, 2502, 5042, 2866, 2645, 602, 15407, 519, 2189, 2934, 540, 681, 4811, 3756, 563, 3412, 4124, 585, 31133, 619, 543, 6348, 8566, 600, 619, 1325, 833, 454, 763, 946, 540, 1483, 6066, 4640, 630, 305, 4811, 264, 3756, 607, 513, 5042, 2866, 1907, 814, 6286, 585, 1312, 32266, 543, 1875, 3766, 600, 619, 7567, 269, 1280, 32266, 267, 2502, 538, 681, 4811, 3756, 666, 1683, 606, 11791, 543, 15138, 1259, 547, 2087, 5042, 5759, 269, 1280, 1875, 3766, 600, 619, 267, 681, 4811, 3756, 949, 2709, 513, 3209, 543, 2500, 1797, 540, 7393, 5042, 1983, 602, 666, 723, 1483, 8996, 3156, 563, 19119, 585, 31133, 619, 454, 2690, 1346, 945, 2907, 2972, 4730, 681, 4811, 3756, 267, 6220, 891, 3756, 883, 513, 5042, 2866, 20786, 666, 723, 1896, 2640, 269, 3689, 267, 621, 2636, 32266, 547, 3136, 2502, 538, 513, 15908, 789, 2972, 1247, 849, 2324, 547, 2087, 741, 5042, 5759, 269, 3958, 267, 1082, 681, 4811, 3756, 616, 2966, 547, 581, 4101, 543, 2154, 7580, 3206, 267, 1966, 9010, 267, 543, 3375, 6194, 1983, 267, 782, 540, 799, 666, 581, 4824, 998, 29863, 269, 7053, 267, 930, 2090, 2303, 602, 4730, 681, 4811, 3756, 949, 723, 513, 2318, 1764, 593, 1514, 1983, 267, 607, 891, 3756, 1419, 2154, 2792, 543, 5698, 609, 824, 5716, 563, 19119, 585, 6348, 8566, 600, 619, 454, 2690, 1346, 945, 798, 711, 3335, 1404, 3381, 3756, 267, 681, 4811, 3756, 949, 2709, 513, 3209, 543, 2500, 1797, 540, 5355, 5042, 5759, 269, 2755, 2757, 5042, 2866, 3292, 666, 581, 32462, 610, 796, 15517, 532, 267, 681, 4811, 3756, 1683, 513, 811, 2502, 543, 7317, 1259, 547, 3986, 1983, 269, 3958, 267, 519, 946, 540, 681, 4811, 3756, 607, 513, 5042, 2866, 1907, 949, 9029, 547, 2043, 945, 616, 811, 6899, 609, 2029, 543, 11080, 982, 609, 2757, 2866, 2409, 563, 22025, 1113, 7464, 28131, 10241, 454, 763, 5042, 1983, 602, 666, 581, 4824, 998, 681, 4811, 29863, 723, 1483, 8996, 3156, 602, 979, 3564, 519, 11080, 1158, 269, 1280, 1383, 267, 7580, 3206, 543, 1966, 9010, 1983, 666, 581, 3730, 538, 519, 9036, 267, 1247, 3375, 6194, 1983, 666, 581, 1271, 538, 2123, 3347, 543, 824, 2127, 540, 1272, 269, 3958, 267, 1082, 681, 4811, 3756, 2154, 2792, 543, 5698, 609, 1866, 267, 799, 666, 948, 2087, 1514, 1983, 543, 1628, 6793, 3347, 563, 1103, 3932, 267, 681, 4811, 3756, 723, 519, 1761, 547, 581, 1031, 607, 513, 5042, 2866, 1907, 585, 1312, 32266, 543, 1875, 3766, 600, 619, 7567, 269, 1635, 6220, 891, 3756, 883, 513, 5042, 2866, 20786, 267, 2043, 666, 2087, 513, 2039, 540, 1983, 602, 723, 1483, 8996, 3156, 543, 2972, 513, 811, 2502, 543, 7317, 1259, 547, 3986, 741, 5042, 5759, 563, 763, 10261, 585, 4329, 3194, 454, 7212, 3875, 2090, 723, 8268, 519, 1761, 5042, 2640, 540, 1483, 6066, 4640, 630, 305, 4811, 264, 3756, 267, 972, 568, 1869, 513, 991, 585, 2417, 1382, 547, 3715, 513, 598, 5477, 3095, 1063, 29863, 543, 5042, 19349, 269, 2368, 1883, 2127, 602, 2154, 3606, 7634, 1331, 912, 268, 2552, 9776, 8097, 6272, 281, 3509, 2090, 723, 6964, 12633, 1049, 6272, 267, 799, 3112, 3715, 1757, 1275, 269, 1677, 6166, 602, 681, 4811, 3756, 1291, 547, 5042, 9283, 267, 6417, 8097, 2090, 609, 19747, 2516, 616, 2877, 563, 268, 9061, 14426, 14496, 281, 4107, 2090, 593, 681, 4811, 3756, 543, 5042, 5759, 723, 1044, 5342, 538, 5375, 2477, 267, 543, 621, 568, 15458, 2436, 519, 2164, 1131, 2489, 1125, 547, 824, 4529, 269, 4329, 1382, 2066, 3309, 5095, 568, 2556, 547, 3715, 519, 5203, 1275, 540, 1761, 5042, 2640, 563, 268, 20212, 538, 3014, 11964, 281, 2755, 681, 4811, 3756, 723, 1044, 519, 3119, 1445, 540, 5042, 1382, 267, 621, 568, 1898, 547, 8495, 2436, 824, 11964, 267, 971, 607, 1101, 16512, 9496, 619, 610, 11015, 3756, 267, 849, 1764, 5042, 5759, 269, 22414, 2090, 1223, 948, 2697, 519, 1808, 3344, 540, 681, 4811, 3756, 602, 3565, 547, 5042, 19349, 563, 268, 7043, 3856, 2360, 543, 4483, 547, 1483, 3734, 3871, 281, 4107, 2090, 723, 8947, 2110, 3856, 2360, 540, 681, 4811, 29863, 593, 5042, 5759, 269, 7043, 3856, 1246, 5346, 2090, 616, 2877, 547, 3313, 2436, 891, 2640, 6414, 543, 2436, 789, 14377, 547, 1483, 3734, 1966, 9010, 1983, 563, 268, 10572, 3604, 543, 6345, 4162, 281, 1703, 568, 513, 991, 547, 2263, 875, 1585, 6345, 4162, 267, 971, 607, 2085, 267, 4008, 267, 543, 1991, 11080, 1995, 267, 3310, 519, 1761, 5042, 2640, 540, 681, 4811, 3756, 269, 4197, 891, 2188, 1223, 948, 20688, 5042, 2866, 3292, 1210, 681, 4811, 3756, 547, 1808, 5095, 563, 268, 31469, 540, 5042, 6454, 281, 2755, 930, 2090, 723, 4857, 1761, 5042, 6127, 5817, 681, 4811, 29863, 267, 811, 1382, 568, 2877, 547, 4628, 30881, 519, 5817, 3157, 602, 1291, 547, 5042, 19349, 269, 901, 1223, 948, 538, 519, 1646, 540, 6098, 5042, 2866, 7459, 1210, 681, 4811, 3756, 563, 3528, 5466, 891, 10616, 538, 519, 1382, 267, 2104, 2090, 666, 1683, 513, 811, 3102, 1620, 540, 519, 1761, 5042, 2640, 540, 681, 4811, 3756, 543, 741, 6286, 585, 5042, 2866, 543, 19349, 563, 272, 269, 1548, 616, 1483, 6066, 4640, 3756, 888, 18600, 6066, 4640, 630, 305, 4811, 264, 3756, 616, 513, 1826, 540, 3381, 3014, 1141, 519, 6345, 8060, 543, 21314, 2200, 267, 13976, 13279, 267, 543, 1463, 338, 4559, 538, 1483, 6066, 269, 634, 3804, 568, 547, 14710, 519, 18545, 676, 2901, 14874, 741, 3490, 610, 9013, 782, 519, 13279, 593, 519, 4786, 563, 273, 269, 1215, 798, 1483, 6066, 4640, 3756, 2087, 5042, 5759, 888, 305, 4811, 3756, 666, 2087, 5042, 5759, 971, 607, 1966, 9010, 267, 3375, 6194, 267, 543, 1617, 527, 27965, 269, 1358, 2154, 5716, 547, 4383, 2200, 267, 1628, 13279, 267, 543, 1463, 4559, 1247, 849, 5464, 519, 10546, 779, 3527, 543, 1106, 6819, 513, 4640, 269, 901, 666, 2087, 5042, 5759, 676, 2810, 519, 6345, 779, 2702, 547, 1617, 527, 2532, 543, 1118, 3664, 896, 2604, 563, 274, 269, 3657, 1483, 6066, 4640, 3756, 1434, 585, 782, 6502, 888, 305, 4811, 3756, 666, 581, 10150, 676, 1004, 540, 782, 6502, 267, 855, 789, 949, 581, 811, 4101, 585, 7820, 5716, 269, 2368, 681, 4811, 3756, 949, 2270, 9921, 1543, 610, 1950, 29863, 11707, 602, 949, 711, 581, 5078, 585, 782, 6502, 269, 898, 568, 1271, 547, 2638, 519, 2085, 9993, 543, 1543, 540, 513, 3014, 1354, 3850, 1453, 547, 1404, 621, 563, 275, 269, 2052, 1483, 6066, 4640, 3756, 2087, 3965, 888, 305, 4811, 3756, 949, 2087, 3965, 676, 8506, 5716, 547, 3314, 543, 4383, 2200, 267, 1770, 5322, 267, 543, 2679, 3889, 269, 29892, 681, 4811, 3756, 949, 948, 2087, 2110, 3856, 3965, 543, 2333, 519, 6345, 779, 2702, 547, 11291, 1344, 3533, 563, 276, 269, 3657, 1483, 6066, 4640, 3756, 22925, 888, 305, 4811, 3756, 666, 581, 22925, 267, 607, 789, 2154, 5716, 547, 7683, 6895, 543, 4383, 741, 3490, 543, 4559, 269, 2368, 5716, 949, 6108, 1279, 5712, 540, 942, 4730, 681, 4811, 3756, 267, 10714, 532, 824, 2238, 269, 898, 568, 1271, 547, 1404, 681, 4811, 3756, 538, 20208, 543, 547, 1491, 9397, 547, 2057, 8213, 563, 277, 269, 2052, 1483, 6066, 4640, 3756, 2087, 1688, 31378, 11558, 888, 305, 4811, 3756, 949, 2087, 1688, 31378, 11558, 676, 8506, 5716, 547, 4945, 593, 4559, 543, 5656, 267, 1847, 519, 23684, 547, 2824, 12981, 267, 543, 4383, 2789, 9486, 543, 27487, 269, 29892, 681, 4811, 3756, 949, 2333, 519, 6345, 779, 2702, 547, 11282, 741, 3946, 543, 4064, 547, 1685, 1950, 4247, 563, 278, 269, 3657, 1483, 6066, 4640, 3756, 7199, 888, 5278, 681, 4811, 3756, 949, 581, 7199, 267, 2523, 952, 789, 616, 1007, 13847, 610, 2097, 609, 3606, 1543, 269, 1717, 267, 972, 616, 1082, 1863, 543, 1970, 21057, 681, 4811, 3756, 2139, 602, 2709, 2147, 29863, 2833, 269, 898, 568, 1271, 547, 1382, 543, 5635, 5777, 1354, 11449, 606, 681, 4811, 3014, 563, 279, 269, 2052, 1483, 6066, 4640, 3756, 581, 5129, 2228, 888, 6624, 681, 4811, 3756, 2709, 2228, 3818, 16651, 12331, 267, 3850, 5716, 547, 14526, 1996, 1866, 689, 1472, 519, 1158, 269, 29892, 681, 4811, 3756, 2228, 666, 2087, 1514, 1983, 543, 16542, 267, 607, 5716, 1590, 5968, 543, 28111, 609, 1142, 824, 547, 3035, 11802, 563, 280, 269, 3657, 1483, 6066, 4640, 3756, 1732, 593, 7193, 610, 23641, 888, 305, 4811, 3756, 616, 3335, 1732, 593, 7193, 267, 607, 789, 2154, 5730, 10856, 5322, 543, 13691, 11378, 269, 1717, 267, 930, 681, 4811, 3756, 616, 2139, 593, 931, 3421, 543, 666, 581, 5129, 609, 513, 17120, 269, 898 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1158, 540, 16429, 21358, 267, 513, 23792, 16930, 5678, 630, 9169, 299, 264, 3710, 1210, 519, 25007, 5752, 1893, 269, 6969, 11362, 883, 519, 25727, 540, 16429, 21358, 267, 1577, 781, 1101, 1174, 1946, 667, 20784, 338, 616, 1898, 543, 875, 789, 8428, 689, 2489, 26928, 4654, 971, 607, 5124, 267, 10084, 267, 610, 595, 10030, 269, 589, 667, 20784, 568, 2966, 547, 4194, 2042, 1369, 513, 1880, 6389, 267, 1818, 621, 4443, 585, 9367, 547, 2769, 741, 15752, 5693, 543, 13801, 569, 269, 901, 1445, 2636, 667, 20784, 3755, 547, 960, 811, 7561, 676, 4227, 5042, 4452, 543, 10893, 15245, 30066, 3009, 780, 305, 889, 344, 568, 606, 17715, 1843, 15129, 7097, 532, 1893, 1634, 585, 922, 16134, 543, 31824, 269, 634, 17082, 267, 962, 25431, 6062, 549, 631, 1846, 636, 9369, 267, 6322, 547, 1628, 513, 1893, 602, 5433, 2067, 267, 3850, 23501, 547, 2328, 3009, 602, 8272, 549, 1042, 1480, 2792, 3270, 269, 1306, 596, 2263, 16429, 21358, 267, 596, 786, 1294, 891, 7907, 10630, 538, 922, 1374, 780, 3086, 267, 1577, 781, 2490, 938, 3007, 4481, 547, 16429, 21358, 269, 715, 3139, 1310, 7671, 16429, 21358, 1813, 547, 922, 2702, 547, 1412, 4777, 1919, 922, 1378, 1259, 10086, 16429, 21358, 6087, 4028, 1646, 540, 1357, 3156, 543, 29026, 269, 4706, 1507, 2450, 1765, 21671, 827, 1079, 8536, 3515, 540, 3009, 1765, 332, 1389, 1565, 543, 13215, 621, 24276, 1369, 513, 2582, 19496, 269, 6736, 922, 11527, 5737, 588, 1155, 267, 16429, 21358, 24502, 3833, 513, 24362, 267, 5356, 3875, 2934, 2556, 585, 2679, 7347, 1357, 2533, 780, 4263, 922, 4295, 267, 16429, 21358, 5205, 513, 2241, 7662, 268, 24978, 2203, 269, 1879, 7218, 6494, 26824, 13668, 267, 707, 3498, 11392, 1346, 13668, 267, 3157, 873, 267, 543, 7024, 3617, 6114, 269, 1677, 6023, 13668, 3927, 267, 16429, 21358, 18252, 23332, 3652, 1765, 335, 16993, 1031, 547, 6474, 19670, 15745, 10092, 543, 7222, 3527, 3144, 950, 13292, 2049, 269, 2913, 781, 1491, 513, 6251, 1413, 693, 23332, 543, 824, 4909, 3344, 540, 16429, 21358, 780, 1262, 305, 719, 532, 4373, 1103, 16429, 21358, 267, 11507, 5581, 544, 1952, 902, 1063, 15745, 2619, 3270, 543, 3625, 1289, 10587, 13401, 2390, 12805, 269, 6333, 519, 1739, 1383, 1384, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 17829, 7516, 2443, 7132, 1152, 513, 16434, 9386, 547, 519, 561, 13903, 2443, 1118, 585, 513, 4585, 602, 18795, 30326, 855, 711, 7938, 792, 2406, 593, 519, 21015, 269, 2060, 10323, 309, 2894, 15709, 2839, 17751, 607, 513, 6216, 649, 1616, 547, 1711, 543, 6655, 513, 1272, 10182, 602, 4564, 5609, 1356, 640, 267, 25273, 267, 13784, 267, 543, 2463, 269, 1284, 4941, 547, 1711, 606, 1604, 1141, 649, 2972, 1018, 649, 798, 543, 3295, 6000, 609, 1004, 649, 899, 547, 798, 621, 269, 1773, 11294, 636, 568, 1776, 1390, 2848, 953, 268, 17314, 1570, 269, 594, 3576, 519, 726, 25128, 543, 10093, 1406, 6743, 1394, 269, 4563, 543, 7108, 19045, 717, 27691, 1442, 476, 13975, 271, 543, 476, 28794, 271, 623, 4202, 585, 9093, 543, 6468, 20606, 476, 4029, 267, 476, 1708, 273, 1703, 779, 1100, 1259, 594, 1223, 3035, 1018, 594, 4941, 538, 3723, 344, 267, 952, 594, 4769, 1406, 3398, 519, 1268, 602, 594, 993, 267, 543, 14955, 3431, 2648, 519, 1268, 594, 993, 269, 1703, 616, 17498, 1938, 547, 1166, 6235, 519, 3350, 540, 1576, 282, 1247, 519, 8792, 543, 5662, 3946, 666, 581, 6410, 3362, 2614, 267, 519, 1482, 666, 1406, 581, 1767, 540, 519, 2034, 1688, 267, 799, 568, 2965, 15841, 593, 519, 1394, 269, 898, 779, 7298, 998, 922, 1378, 14266, 6885, 1107, 543, 2016, 922, 1378, 23678, 1386, 24421, 10309, 547, 18849, 1107, 855, 621, 779, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 514, 21358, 257, 607, 851, 540, 834, 28035, 1315, 19932, 1315, 25007, 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, 1546, 3712, 517, 1944, 1290, 545, 3883, 3778, 692, 7072, 912, 5970, 596, 2479, 8068, 875, 13371, 2835, 543, 8642, 9089, 666, 2995, 5863, 2984, 998, 1312, 1913, 543, 5961, 286, 1280, 1082, 1296, 267, 1498, 267, 519, 3197, 543, 15888, 538, 891, 5686, 540, 12326, 941, 6140, 3043, 2367, 269, 1809, 2053, 723, 4957, 267, 543, 1631, 649, 2811, 7487, 811, 3309, 3197, 543, 15888, 982, 2479, 1354, 256, 901, 568, 1018, 649, 1289, 28160, 1944, 13371, 1433, 1686, 1107, 621, 1797, 1818, 2386, 602, 1004, 540, 782, 10080, 616, 6719, 9425, 543, 8308, 538, 14676, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 4089, 476, 272, 281, 4197, 16690, 1436, 543, 23830, 538, 22383, 454, 8624, 517, 1436, 4016, 547, 950, 3532, 2477, 1491, 1852, 936, 824, 3338, 543, 4529, 267, 1419, 8156, 519, 2199, 1004, 15490, 569, 269, 19759, 569, 267, 17091, 814, 6766, 1082, 3344, 540, 938, 2486, 267, 1519, 13371, 2835, 269, 25214, 267, 1034, 13371, 1433, 3197, 543, 15888, 3357, 689, 5375, 267, 4853, 1242, 6082, 267, 799, 5921, 602, 1875, 8862, 3480, 4529, 14201, 1405, 18113, 6719, 269, 1546, 3712, 517, 1944, 13371, 1433, 1686, 6663, 547, 2953, 713, 19261, 676, 4758, 5639, 547, 26173, 2516, 543, 4180, 741, 2984, 616, 5143, 6461, 1227, 780, 4089, 476, 273, 281, 27915, 31875, 910, 28038, 1715, 16992, 543, 6282, 832, 454, 3080, 1259, 547, 28160, 1125, 13371, 1433, 1686, 568, 676, 10962, 1007, 267, 3309, 3197, 269, 1452, 1522, 1331, 3197, 540, 1114, 14797, 267, 25469, 267, 10764, 267, 5759, 267, 543, 14227, 10080, 269, 1635, 2348, 513, 2647, 3099, 540, 23233, 267, 21087, 1235, 267, 543, 2427, 330, 6506, 267, 14676, 1831, 811, 11541, 543, 4277, 547, 513, 6626, 5304, 269, 6684, 267, 8716, 543, 5009, 15888, 689, 1585, 10080, 5849, 602, 8076, 9739, 5397, 1650, 1646, 543, 1915, 5137, 780, 7078, 281, 21919, 8403, 16679, 267, 849, 1634, 607, 15516, 269, 31733, 267, 568, 513, 9735, 1383, 540, 513, 1007, 1915, 18220, 532, 4763, 269, 2701, 781, 513, 9031, 328, 1977, 21717, 2713, 538, 14948, 4975, 267, 10188, 1200, 1272, 1247, 7231, 609, 15705, 11645, 269, 4173, 4367, 4547, 4195, 5380, 543, 7722, 9118, 11655, 945, 1223, 6368, 1294, 2933, 10630, 538, 14676, 780, 4089, 476, 274, 281, 4825, 2454, 543, 25166, 3876, 1401, 12371, 12267, 454, 5194, 1505, 540, 28160, 1944, 13371, 1433, 1686, 3322, 20460, 1746, 3964, 3197, 543, 6386, 855, 1427, 2454, 873, 689, 1114, 16752, 269, 12465, 12325, 949, 1205, 8242, 1394, 560, 1559, 602, 11760, 19525, 781, 1764, 610, 2263, 4798, 4143, 547, 12790, 2950, 269, 6884, 267, 5929, 5636, 1622, 616, 5368, 1203, 539, 547, 4161, 11475, 543, 1683, 13857, 28402, 780, 7078, 281, 9823, 22383, 5950, 513, 1295, 529, 7685, 1572, 834, 763, 26499, 540, 24090, 19716, 2437, 2854, 676, 11412, 2801, 1546, 700, 714, 269, 901, 4528, 540, 667, 10005, 13584, 688, 2812, 689, 513, 1319, 686, 1105, 531, 2486, 5059, 593, 4708, 2864, 982, 2112, 269, 3414, 713, 2847, 2086, 267, 1546, 700, 714, 7710, 15594, 4798, 543, 2488, 513, 2189, 8095, 593, 519, 11599, 5869, 710, 780, 4089, 476, 275, 281, 18964, 32213, 27884, 13756, 454, 2414, 5963, 28160, 1125, 13371, 1433, 1686, 267, 3025, 3238, 1590, 9784, 8537, 2853, 269, 19536, 267, 5159, 267, 15769, 267, 543, 21101, 991, 547, 2015, 6041, 538, 1169, 2460, 540, 2504, 269, 1358, 666, 5077, 2686, 4966, 267, 12840, 609, 2146, 2818, 267, 543, 3343, 5955, 689, 26173, 9458, 547, 2327, 4977, 543, 16614, 11269, 269, 3958, 267, 3872, 2200, 899, 713, 1837, 666, 948, 3262, 4656, 827, 519, 2956, 540, 4129, 4328, 13371, 2835, 780, 6962, 912, 3528, 1620, 543, 5466, 519, 3140, 3668, 540, 6041, 1369, 13371, 2835, 267, 649, 666, 8362, 7119, 538, 28160, 1944, 13371, 1433, 1686, 269, 1306, 11655, 267, 15888, 267, 543, 15156, 267, 649, 1590, 3136, 5885, 3309, 3197, 543, 15888, 547, 1628, 513, 17321, 2104, 4904, 609, 9159, 2984, 14120, 519, 5898, 540, 938, 15491, 1158, 269, 1924, 979, 6619, 543, 4584, 909, 930, 8642, 9089, 10023, 26173, 3197, 543, 4589, 282, 789, 786, 15983, 10802, 707, 2542, 1995, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 2487, 2376, 538, 23255, 28315, 11331, 968, 4467, 923, 4813, 1846, 3619, 8479, 518, 892, 8711, 1175, 835, 540, 519, 4128, 602, 7855, 543, 7172, 12579, 616, 2679, 10070, 540, 8642, 9089, 547, 3077, 1007, 3988, 269, 634, 4062, 26564, 27239, 5839, 303, 1667, 517, 267, 1453, 779, 543, 7141, 2533, 4717, 13541, 693, 519, 28635, 5448, 5244, 630, 27746, 1633, 264, 7732, 267, 607, 1352, 4967, 602, 519, 3898, 779, 968, 5793, 323, 11163, 1063, 1257, 543, 1148, 2306, 8642, 9089, 3226, 3617, 585, 2038, 3988, 3034, 2080, 267, 2278, 543, 3879, 15249, 15537, 1744, 2532, 534, 12909, 609, 23436, 18409, 731, 827, 1010, 1378, 15131, 585, 519, 8642, 3209, 779, 4819, 7888, 3898, 543, 922, 2702, 547, 3986, 5396, 2066, 519, 6437, 563, 303, 14040, 543, 570, 23147, 281, 7454, 9549, 17451, 256, 2443, 1492, 2034, 2140, 538, 707, 8642, 3209, 3126, 585, 7820, 3988, 1765, 322, 877, 856, 693, 519, 1439, 540, 5130, 267, 543, 623, 14040, 543, 570, 23147, 281, 8111, 5025, 342, 13135, 1290, 545, 256, 2501, 856, 4864, 476, 1015, 628, 269, 898, 779, 2312, 707, 3126, 568, 1134, 4607, 676, 2038, 3988, 543, 519, 7855, 945, 960, 609, 873, 269, 1548, 14405, 596, 607, 513, 17082, 547, 519, 8642, 3209, 1106, 320, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13356, 20325, 1944, 1290, 545, 3883, 3778, 257, 607, 851, 540, 834, 26376, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 16844, 1299, 5564, 12734, 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, 14914, 17378, 15391, 338, 910, 589, 8342, 10158, 547, 8081, 3776, 7991, 2439, 5970, 596, 2479, 4862, 540, 606, 14914, 4212, 6968, 286, 898, 781, 513, 1187, 543, 3078, 2534, 1141, 1004, 3406, 585, 6456, 5798, 267, 2356, 4904, 609, 13000, 610, 1507, 9162, 267, 593, 14914, 10732, 269, 1809, 1705, 596, 917, 602, 14914, 4212, 6968, 338, 666, 849, 4196, 607, 9735, 3255, 547, 6318, 2724, 585, 1271, 3123, 543, 3142, 2950, 1927, 286, 2913, 781, 2263, 875, 891, 2621, 960, 543, 1946, 789, 616, 1898, 585, 5885, 938, 2199, 1347, 885, 543, 18758, 3906, 2439, 1432, 568, 606, 14914, 4212, 6968, 2508, 571, 16014, 888, 5785, 19030, 2304, 14914, 4212, 6968, 2508, 571, 16014, 10905, 2757, 4212, 10122, 609, 2609, 540, 24960, 344, 543, 2146, 9525, 269, 5029, 9088, 12404, 10477, 5068, 5798, 5627, 17914, 610, 10881, 3079, 540, 31496, 610, 9162, 269, 19893, 1287, 3406, 585, 891, 5798, 543, 28099, 655, 741, 9060, 585, 986, 742, 548, 26065, 610, 4194, 13410, 3056, 873, 6251, 547, 10888, 2027, 17758, 269, 1635, 12123, 16075, 12375, 543, 9513, 3606, 3688, 971, 607, 1426, 267, 10425, 267, 610, 13492, 1282, 519, 2680, 267, 25696, 5352, 7482, 585, 1585, 1434, 3123, 780, 1692, 1281, 621, 4324, 1250, 2146, 888, 28598, 3528, 10283, 538, 606, 14914, 4212, 6968, 2508, 571, 16014, 267, 596, 948, 1489, 3407, 7341, 1369, 707, 1378, 8378, 269, 1160, 12923, 6659, 998, 19044, 6455, 543, 23190, 1419, 979, 2509, 3506, 267, 10506, 267, 2825, 3785, 267, 543, 824, 26656, 18129, 269, 1452, 2621, 6536, 23274, 1851 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1164, 6760, 3928, 269, 10201, 622, 11507, 666, 948, 4225, 10930, 3681, 563, 8368, 281, 18948, 540, 10374, 652, 27953, 5288, 269, 10201, 622, 27953, 454, 347, 27832, 2693, 547, 2057, 454, 347, 5415, 2693, 547, 2057, 454, 3528, 5356, 8925, 3564, 519, 2757, 20125, 2619, 1935, 267, 15870, 12445, 3301, 2488, 3755, 609, 811, 1852, 936, 741, 15322, 269, 901, 8112, 6087, 10256, 547, 3082, 741, 11507, 2687, 547, 8795, 6381, 543, 2123, 7375, 269, 769, 519, 1739, 3296, 267, 649, 786, 2263, 2994, 585, 17306, 8905, 4058, 267, 1519, 875, 547, 15407, 14595, 11507, 3927, 563, 8139, 519, 2956, 540, 4244, 11507, 538, 15870, 12445, 3301, 23933, 519, 5748, 585, 3695, 2500, 2994, 585, 17306, 8905, 4058, 563, 25618, 625, 585, 17306, 8905, 4058, 454, 9558, 819, 532, 12347, 689, 519, 2591, 5185, 538, 8159, 519, 20125, 8905, 267, 649, 1631, 5490, 883, 2994, 602, 666, 3986, 519, 11938, 540, 8905, 4058, 269, 1677, 9414, 891, 2994, 267, 1577, 721, 2015, 513, 19858, 9183, 1141, 606, 1367, 2115, 547, 2951, 689, 4975, 589, 547, 4975, 645, 1282, 8445, 3108, 563, 3080, 1455, 4640, 6964, 676, 15870, 12445, 3301, 568, 6236, 14595, 11507, 1759, 593, 1483, 6066, 6808, 10311, 543, 3140, 1239, 269, 1635, 7421, 20316, 3270, 267, 10913, 267, 543, 4155, 5008, 999, 267, 519, 3301, 666, 2303, 4244, 10092, 602, 949, 581, 1447, 7249, 6479, 610, 723, 10156, 2951, 2053, 269, 1280, 1383, 267, 952, 972, 568, 5230, 6808, 593, 519, 1292, 19814, 8220, 4975, 589, 543, 4975, 645, 267, 519, 3301, 1522, 15974, 2921, 4130, 2427, 9897, 610, 1210, 6252, 11507, 547, 21271, 20316, 563, 2414, 11126, 8905, 4058, 2417, 267, 15870, 12445, 3301, 16621, 4359, 6620, 602, 9260, 1114, 2188, 8195, 269, 1452, 6620, 1491, 883, 2272, 4632, 971, 607, 3845, 267, 6059, 942, 540, 12625, 630, 4953, 288, 1070, 4492, 4398, 267, 17167, 3790, 267, 543, 3593, 7375, 269, 1635, 9256, 891, 2188, 4111, 1836, 998, 1950, 26398, 267, 519, 3301, 12958, 2789, 20979, 11507, 585, 3755, 547, 3442, 689, 563, 763, 7145, 540, 891, 2994, 666, 18427, 1585, 4664, 538, 3755, 5275, 3608, 12445, 3435, 912, 268, 28057, 281, 20305, 1995, 8323, 950, 789, 616, 4843, 609, 4244, 11507, 1282, 5230, 6808, 2175, 563, 268, 30151, 281, 634, 10014, 540, 1483, 6066, 6808, 10311, 1128, 1571, 6015, 538, 3755, 676, 1028, 1005, 873, 602, 741, 6074, 2619, 568, 7683, 1373, 11117, 585, 1761, 5688, 3074, 563, 268, 21252, 281, 26659, 2934, 899, 661, 14011, 9273, 543, 4492, 18026, 23332, 1683, 3755, 609, 513, 2631, 540, 4398, 543, 1942, 13716, 4369, 563, 268, 25085, 618, 281, 5510, 1359, 2789, 20979, 11507, 16877, 3755, 609, 5079, 543, 1852, 936, 741, 3460, 563, 347, 18600, 6066, 29853, 5455, 30098, 454, 347, 15307, 13846, 5384, 540, 27336, 2526, 630, 4953, 288, 994, 347, 8248, 864, 540, 2247, 454, 1103, 3932, 267, 519, 946, 540, 15870, 12445, 3301, 538, 17306, 8905, 4058, 568, 513, 3407, 1907, 585, 17631, 269, 1635, 6220, 2994, 971, 607, 6236, 14595, 11507, 543, 9001, 4359, 6620, 267, 891, 3301, 3435, 3986, 4398, 543, 1683, 3755, 609, 3681, 547, 6330, 7249, 6479, 2127, 811, 3927, 269, 1452, 2934, 18427, 4664, 8151, 689, 8323, 543, 6015, 547, 4606, 540, 16882, 543, 4398, 538, 3755, 5275, 6099, 2951, 2833, 269, 0, 5472, 1032, 5180, 267, 938, 9640, 262, 4761, 1949, 616, 16271, 547, 519, 6574, 7569, 281, 2566, 540, 782, 5686, 267, 4551, 267, 8290, 630, 324, 3052, 269, 519, 1226, 710, 15601, 3644, 630, 292, 295, 309, 264, 543, 519, 1226, 710, 14798, 3644, 264, 543, 13271, 1590, 581, 2036, 730, 269, 32130, 262, 4761, 23640, 616, 849, 1271, 950, 621, 2501, 547, 28530, 4598, 547, 2825, 14107, 543, 7067, 16398, 563, 2467, 616, 2614, 4128, 547, 1489, 938, 9640, 262, 4761, 1949, 538, 741, 960, 269, 4595, 5393, 1950, 7569, 616, 5116, 593, 519, 7504, 781, 4761, 1062, 267, 789, 616, 8200, 593, 606, 7850, 3761, 540, 8324, 543, 10250, 2609, 269, 0, 6826, 5765, 811, 3860, 543, 6896, 3322, 3384, 1978, 6208, 267, 8186, 1115, 267, 543, 2994, 269, 1635, 6220, 891, 2790, 5751, 543, 10721, 2994, 883, 707, 3232, 6296, 267, 596, 666, 3986, 707, 5759, 547, 581, 513, 811, 5499, 543, 11327, 1966, 24626, 563, 763, 1158, 779, 2551, 5170, 547, 1332, 267, 2870, 606, 14849, 991, 585, 1426, 543, 513, 811, 3608, 1259, 540, 8105, 269, 1677, 2743, 891, 29476, 267, 2221, 779, 6705, 616, 7432, 547, 2029, 267, 3226, 6694, 11608, 269, 16581, 11608, 616, 4730, 606, 5051, 2629, 1909, 538, 13321, 2757, 8105, 2409, 883, 4264, 267, 3608, 4238, 269, 1452, 11608, 616, 4543, 6705, 2232, 4074, 22520, 543, 2087, 4398, 269, 589, 1076, 547, 960, 1472, 519, 9219, 7900, 32462, 4247, 602, 1131, 6382, 581, 4074, 25673, 543, 942, 21791, 282, 789, 616, 1818, 513, 10565, 1764, 593, 7607, 563, 11754, 1112, 633, 543, 3110, 3770, 3059, 19240, 6565, 689, 811, 982, 1175, 2029, 269, 31071, 2528, 630, 514, 1880, 267, 519, 968, 531, 1811, 593, 892, 2528, 1070, 1514, 8155, 267, 543, 1367, 5615, 782, 3565, 547, 2486, 781, 8213, 547, 3059, 19240, 269, 3367, 6215, 11691, 519, 7913, 24251, 547, 3605, 875, 3059, 19240, 616, 27560, 707, 942, 563, 2414, 723, 519, 2953, 5133, 593, 2029, 267, 649, 1590, 1174, 711, 1152, 875, 2029, 568, 4657, 267, 855, 875, 2029, 568, 4657, 721, 563, 5472, 540, 721, 4440, 723, 16618, 2576, 779, 2012, 16172, 1310, 649, 4076, 1044, 5189, 269, 1403, 596, 941, 12394, 547, 1118, 513, 1434, 12705, 593, 602, 1268, 267, 30534, 1010, 17017, 2012, 568, 513, 2101, 535, 14513, 32488, 269, 901, 2376, 6799, 513, 11455, 1935, 547, 2634, 1072, 543, 2790, 14242, 676, 18167, 883, 513, 2370, 2257, 543, 6530, 827, 519, 2247, 543, 3965, 2530, 267, 3268, 596, 666, 1491, 547, 2226, 513, 2635, 2634, 267, 543, 2553, 547, 11677, 543, 11291, 1344, 563, 5715, 529, 1584, 2406, 267, 968, 6618, 2032, 892, 547, 513, 3984, 540, 3156, 543, 3457, 3091, 1761, 547, 2087, 1004, 779, 2729, 269, 1284, 666, 798, 5863, 1919, 267, 899, 2070, 519, 3330, 540, 938, 14023, 2209, 689, 519, 2706, 21466, 267, 20716, 1852, 10760, 19025, 547, 5838, 15004, 267, 1294, 543, 3717, 547, 1004, 593, 519, 824, 2427, 540, 519, 1158, 630, 514, 1483, 942, 543, 593, 938, 2281, 11436, 267, 9039, 7308, 268, 1652, 1070, 543, 23074, 5318, 5666, 540, 1344, 538, 7643, 269, 0, 294, 565, 836, 1893, 267, 849, 1634, 607, 3619, 267, 568, 513, 2442, 543, 2413, 5752, 1893, 602, 729, 2919, 676, 5616, 8030, 7917, 717, 1845, 655, 518, 267, 7605, 623, 833, 267, 543, 8230, 16399, 269, 898, 568, 606, 1930, 21299, 1893, 602, 10905, 519, 8897, 540, 946, 540, 6422, 4654, 609, 519, 2773, 543, 3106, 540, 2493, 1227, 268, 1399, 6244, 4654, 269, 30110, 836, 568, 2966, 547, 581, 2241, 267, 13801, 267, 543, 3608, 267, 1818, 621, 513, 11684, 4781, 585, 1585, 3156, 538, 519, 2361, 540, 1344, 2029, 563, 294, 565, 836, 729, 1101, 5189, 538, 476, 1220, 280, 543, 814, 6591, 1713, 20086, 538, 519, 3301, 1646, 2146, 2094, 1287, 269, 898, 729, 2813, 607, 513, 3210, 547, 519, 2591, 5185, 676, 5616, 538, 2679, 1804, 8397, 267, 6325, 267, 543, 3608, 3301, 1949, 269, 634, 1893, 729, 5097, 2919, 547, 2087, 7607, 543, 25382, 267, 2523, 538, 519, 2796, 540, 21276, 543, 6252, 5752, 563, 268, 3244, 13109, 281, 30110, 836, 11363, 16134, 543, 31824, 267, 609, 513, 4130, 1305, 540, 1893, 21437, 543, 513, 2312, 543, 13801, 16105, 269, 901, 16134, 2636, 9367, 547, 2328, 2973, 543, 2226, 762, 3009, 267, 4227, 3181, 19982, 942, 543, 1818, 519, 3009, 19668, 811, 19242, 563, 268, 1230, 2017, 6275, 281, 30110, 836, 814, 3710, 2987, 1489, 585, 21276, 5752, 267, 7175, 3608, 13345, 540, 3818, 2275, 648, 543, 3060, 539, 6191, 269, 4706, 17426, 27580, 719, 1149, 543, 9055, 1118, 621, 2653, 547, 2328, 21276, 543, 27249, 3156, 267, 1818, 621, 4998, 585, 2679, 7746, 20933, 543, 7856, 1949, 563, 268, 13437, 281, 30110, 836, 568, 12021, 585, 922, 11141, 2773, 269, 898, 735, 3796, 547, 3684, 3009, 267, 4611, 538, 3810, 3608, 543, 3728, 8573, 7342, 3292, 269, 634, 1893, 779, 20203, 4015, 7271, 543, 20979, 28094, 1184, 3565, 547, 922, 11108, 2773, 4162, 563, 268, 8881, 281, 30110, 836, 8992, 2922, 5752, 2853, 676, 5356, 2178, 17511, 543, 3965, 3106, 2934, 269, 898, 2882, 11979, 17511, 267, 799, 2337, 6952, 6959, 693, 29289, 6066, 267, 4227, 519, 7872, 540, 678, 29025, 26301, 543, 12961, 269, 3958, 267, 30110, 836, 779, 3965, 2359, 1062, 8850, 20362, 20203, 4015, 267, 14874, 519, 991, 585, 8261, 3965, 2359, 563, 294, 565, 836, 814, 1336, 3156, 538, 1585, 2127, 540, 519, 8668, 2872, 267, 19962, 547, 922, 2189, 1305, 540, 2934, 543, 5383, 563, 268, 5680, 4886, 281, 30110, 836, 568, 1134, 25252, 1243, 585, 2679, 1357, 3156, 267, 7064, 547, 922, 1489, 585, 21276, 5752, 267, 8897, 540, 17293, 267, 543, 3608, 7829, 540, 3060, 4296, 269, 898, 7060, 1896, 1164, 26024, 1357, 13763, 267, 10850, 267, 543, 31442, 26236, 25121, 563, 268, 7010, 14691, 281, 30110, 836, 779, 1970, 7400, 7207, 543, 3608, 678, 29025, 1118, 621, 513, 9053, 3903, 585, 1062, 7400, 5752, 269, 898, 568, 4922, 1031, 538, 2679, 5665, 1949, 267, 3060, 2533, 267, 543, 5989, 2645, 563, 268, 13192, 17270, 281, 30110, 836, 779, 17426, 27580, 719, 1149, 543, 1489, 585, 2679, 21276, 1949, 1118, 621, 606, 5140, 3903, 585, 3384, 6531, 2861, 3156, 543, 2533, 269, 898, 814, 6591, 8560, 1369, 519, 8061, 302, 1186, 2146, 585, 922, 16134, 543, 25382, 563, 268, 8262, 4578, 543, 24630, 281, 30110, 836, 779, 2773, 543, 598, 2017, 6275, 2934, 1118, 621, 1134, 25252, 1243, 585, 4393, 1804, 12531, 540, 1239, 543, 2679, 1239, 25673, 3156, 269, 898, 568, 1419, 1031, 538, 14966, 609, 824, 2645, 543, 10850, 585, 7856, 1239, 4393, 543, 12642, 563, 294, 565, 836, 267, 610, 3619, 267, 3091, 513, 8903, 3070, 585, 2413, 3301, 1646, 269, 2060, 922, 16134, 267, 3608, 598, 2017, 6275, 267, 2773, 267, 543, 3106, 2934, 267, 621, 814, 6591, 1713, 8560, 538, 1585, 2127, 540, 519, 8668, 2872, 269, 1306, 513, 11684, 543, 3532, 5752, 1893, 267, 30110, 836, 5170, 547, 4228, 922, 4527, 267, 19788, 9367, 2066, 1114, 11890, 945, 3343, 7607, 543, 25382, 538, 741, 3785, 269, 0, 16248, 2010, 540, 1599, 7515, 1142, 609, 1079, 2157, 540, 3211, 2154, 6267, 538, 3446, 476, 279, 543, 1164, 1153, 547, 4729, 519, 2798, 543, 3113, 519, 3515, 269, 5131, 7792, 3211, 609, 2626, 10569, 593, 5276, 4834, 1519, 4466, 9386, 9386, 18448, 1106, 3830, 689, 476, 273, 2798, 689, 476, 272, 1448, 543, 9386, 543, 811, 563, 30791, 4834, 1106, 513, 4493, 585, 2362, 6128, 543, 891, 3211, 786, 4628, 5965, 1053, 585, 2979, 543, 2257, 1967, 563, 30791, 3252, 4976, 269, 476, 274, 476, 1015, 476, 273, 476, 280, 476, 278, 476, 275, 476, 1626, 476, 1556, 476, 866, 476, 1321, 1265, 519, 9386, 540, 1142, 1899, 269, 661, 12915, 3446, 543, 1164, 1153, 1053, 2744, 2259, 538, 7114, 543, 23243, 1063, 513, 5276, 543, 513, 22357, 1599, 4843, 607, 4834, 11708, 543, 7515, 269, 11426, 1125, 519, 3211, 547, 1331, 835, 1900, 1079, 1900, 610, 3818, 1900, 4834, 4756, 593, 1312, 5011, 2385, 4185, 543, 811, 563, 20877, 532, 5276, 1599, 3211, 713, 3573, 1305, 540, 7824, 3211, 2882, 5751, 593, 24275, 5276, 1599, 676, 28321, 2798, 593, 519, 7470, 269, 5131, 7223, 476, 272, 3211, 2813, 609, 12808, 7223, 476, 272, 269, 5623, 540, 5276, 3252, 3515, 1265, 519, 9386, 540, 1142, 1899, 563, 19530, 762, 538, 10375, 7824, 3898, 269, 2353, 3211, 2813, 609, 12808, 269, 2201, 891, 7792, 3211, 1053, 786, 2259, 6061, 4466, 18448, 338, 543, 24275, 5276, 4834, 563, 278, 586, 476, 273, 343, 476, 273, 476, 279, 586, 476, 272, 476, 275, 1535, 476, 275, 269, 15531, 18448, 338, 540, 5276, 4834, 4194, 547, 1265, 519, 1535, 543, 586, 18448, 338, 269, 1452, 4834, 616, 849, 4052, 543, 3730, 538, 4948, 1272, 563, 14818, 543, 4976, 18402, 585, 2979, 3610, 269, 2368, 540, 519, 3211, 2630, 616, 1863, 5276, 4834, 3211, 6061, 1949, 540, 5276, 4834, 676, 24275, 6061, 4834, 676, 9427, 23049, 10655, 2474, 6061, 513, 1062, 540, 1079, 5276, 4834, 538, 1079, 4632, 676, 1840, 269, 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 ]
[ 4609, 543, 519, 9341, 22986, 3135, 693, 11083, 15674, 568, 1586, 5532, 547, 9436, 3403, 269, 2060, 3677, 715, 11378, 1141, 9436, 568, 20024, 538, 4430, 267, 519, 588, 558, 7614, 5834, 568, 2799, 630, 19913, 14765, 518, 2590, 1696, 620, 1421, 476, 1960, 279, 1040, 9182, 267, 693, 26130, 2127, 971, 607, 519, 4104, 4609, 6594, 676, 3026, 597, 2106, 1188, 543, 9919, 2544, 332, 753, 630, 1220, 279, 1070, 3284, 31129, 12753, 616, 2799, 267, 1247, 693, 4609, 609, 2539, 715, 3403, 267, 971, 607, 10859, 5991, 1823, 10664, 609, 1970, 19355, 19760, 274, 9830, 267, 2418, 540, 3852, 497, 338, 666, 581, 607, 1970, 607, 476, 276, 1700, 1015, 630, 295, 534, 7322, 1696, 620, 1421, 476, 1960, 280, 1040, 634, 2249, 540, 10664, 568, 849, 2565, 630, 300, 3430, 26856, 1696, 620, 1421, 476, 1220, 280, 1040, 12518, 799, 616, 882, 5050, 593, 6404, 9436, 2959, 630, 2459, 28016, 267, 24277, 267, 543, 5214, 715, 1070, 543, 799, 616, 811, 882, 5050, 593, 3597, 2864, 982, 9496, 21939, 540, 9436, 267, 8858, 2539, 3284, 6955, 770, 12753, 982, 24277, 3146, 2993, 656, 267, 9496, 12431, 574, 559, 908, 2249, 630, 295, 4752, 10458, 1696, 620, 1421, 476, 1960, 273, 1040, 634, 1871, 540, 476, 4343, 269, 276, 799, 729, 18505, 1042, 689, 7403, 6013, 538, 519, 2039, 540, 3852, 497, 338, 2418, 17820, 676, 10859, 5991, 1823, 10664, 609, 1970, 715, 11378, 543, 538, 519, 2539, 2039, 540, 2949, 4104, 2418, 20926, 676, 7136, 611, 1696, 620, 269, 630, 1001, 271, 1916, 275, 269, 274, 7844, 2773, 609, 2463, 547, 27431, 9936, 5314, 454, 2304, 4879, 540, 519, 2773, 540, 519, 1367, 9936, 31907, 1996, 7229, 19760, 274, 13441, 525, 568, 3769, 538, 8431, 269, 476, 276, 267, 799, 10525, 519, 2164, 540, 2241, 5276, 9695, 3631, 585, 519, 20533, 2418, 540, 1142, 19760, 274, 13441, 2203, 1996, 4767, 19760, 274, 13441, 525, 269, 2060, 14621, 547, 519, 21942, 9756, 11664, 630, 337, 1070, 519, 7584, 540, 3631, 689, 1034, 9244, 17047, 609, 4767, 19760, 274, 13441, 525, 547, 2547, 17047, 568, 2203, 536, 267, 2203, 513, 267, 2203, 535, 267, 2203, 552, 267, 2203, 546, 267, 543, 2203, 524, 630, 16347, 11673, 616, 1336, 538, 7305, 476, 272, 1040, 634, 27431, 9936, 5314, 729, 513, 6793, 24572, 540, 2203, 1700, 1889, 5501, 618, 9756, 982, 519, 3903, 540, 3852, 497, 269, 4856, 21975, 609, 7403, 568, 5207, 585, 519, 3631, 1210, 606, 27431, 1759, 2390, 700, 310, 303, 267, 4553, 676, 1346, 799, 946, 966, 11520, 543, 6368, 681, 295, 269, 10738, 1142, 23454, 267, 3631, 1210, 3852, 497, 284, 2004, 1683, 20533, 2418, 602, 723, 513, 1732, 17047, 3514, 609, 4767, 2418, 982, 3852, 497, 284, 4343, 269, 276, 269, 15788, 2203, 2773, 568, 538, 1082, 2081, 811, 6213, 547, 27431, 982, 3852, 497, 607, 568, 7805, 689, 519, 13177, 6516, 630, 8993, 269, 476, 277, 1070, 799, 9034, 2478, 538, 835, 6516, 519, 1614, 14911, 2203, 1700, 1889, 5501, 618, 2773, 7194, 540, 519, 630, 328, 264, 9756, 11664, 630, 337, 1070, 630, 4512, 264, 1298, 1042, 3597, 1611, 16302, 5470, 630, 305, 5960, 292, 1070, 543, 630, 13839, 264, 1369, 21524, 601, 543, 1369, 24578, 5501, 618, 3044, 24017, 630, 16256, 264, 630, 307, 11336, 267, 476, 1220, 272, 1040, 634, 8579, 14573, 3308, 2213, 538, 8431, 269, 476, 277, 616, 9034, 2213, 538, 7305, 476, 273, 563, 763, 3044, 11539, 538, 519, 4767, 13441, 10471, 568, 476, 274, 269, 4792, 1547, 634, 2203, 602, 2501, 14191, 547, 18187, 908, 713, 1482, 13260, 568, 2203, 536, 630, 273, 269, 4792, 16532, 609, 2203, 552, 630, 273, 269, 2190, 3738, 18187, 908, 4767, 2418, 2547, 1134, 267, 4352, 519, 2949, 2039, 1063, 2203, 3044, 11539, 568, 17618, 2147, 269, 898, 1058, 581, 28703, 538, 2247, 267, 2705, 267, 602, 519, 3044, 11539, 540, 519, 6027, 13441, 2882, 6482, 10462, 538, 1840, 547, 1483, 13260, 267, 607, 798, 519, 1110, 8215, 2418, 267, 799, 616, 1759, 593, 6027, 6724, 269, 2060, 14621, 547, 678, 267, 2203, 536, 20533, 2418, 3132, 519, 5207, 9756, 609, 519, 4767, 2418, 693, 678, 284, 271, 269, 10170, 267, 538, 6476, 547, 2203, 524, 267, 799, 15824, 519, 10782, 693, 678, 284, 271, 269, 3393, 269, 7053, 267, 519, 2203, 609, 519, 9803, 3597, 1611, 4009, 5470, 689, 519, 4767, 568, 2203, 536, 693, 476, 273, 269, 8064, 2073, 609, 519, 5207, 5470, 1336, 538, 2203, 524, 267, 693, 476, 274, 269, 4029, 1547, 4475, 267, 689, 519, 2702, 540, 519, 9936, 31907, 547, 16196, 519, 6027, 3328, 13441, 525, 607, 4843, 538, 8431, 338, 269, 476, 276, 267, 476, 277, 267, 543, 630, 8368, 476, 272, 1070, 621, 666, 581, 11943, 602, 9936, 5314, 536, 267, 538, 799, 519, 1871, 27431, 568, 9936, 2213, 1210, 6978, 6632, 1145, 9936, 2418, 543, 1141, 519, 3284, 31129, 5223, 568, 1305, 547, 476, 2004, 267, 568, 519, 1655, 7900, 2203, 538, 1138, 6819, 19760, 274, 2627, 1700, 520, 4380, 1877, 5385, 693, 519, 11083, 15674, 3135, 267, 1247, 2203, 524, 568, 519, 10782, 7900, 563, 7212, 519, 6978, 6632, 1145, 9936, 6027, 609, 519, 6978, 17157, 8596, 568, 10169, 12170, 267, 621, 568, 711, 9670, 602, 621, 5526, 547, 2992, 519, 4890, 6978, 1216, 2179, 811, 5702, 982, 519, 9938, 625, 3842, 966, 11520, 543, 681, 295, 269, 2353, 1614, 6724, 1058, 581, 5702, 5532, 269, 4634, 1310, 5688, 5314, 540, 519, 3631, 267, 2705, 267, 3573, 3604, 538, 2203, 3977, 2611, 267, 21246, 958, 1063, 519, 3631, 1210, 6978, 6632, 1145, 9936, 543, 681, 295, 607, 2203, 11378, 269, 7612, 476, 278, 6799, 513, 14649, 4729, 540, 6978, 6632, 1145, 7403, 1996, 681, 295, 3339, 2213, 547, 519, 24588, 4463, 269, 634, 2078, 1063, 873, 568, 1655, 4330, 998, 513, 1379, 3830, 267, 799, 5267, 602, 6978, 6632, 1145, 11081, 811, 25921, 982, 681, 295, 2066, 519, 5859, 269, 11569, 267, 8431, 269, 476, 273, 2982, 513, 3982, 18848, 1063, 4767, 681, 295, 630, 553, 1134, 607, 966, 11520, 264, 543, 519, 6978, 6632, 1145, 9936, 269, 2755, 681, 295, 6922, 320, 616, 9571, 1063, 476, 1556, 281, 876, 543, 476, 1724, 281, 876, 267, 543, 9832, 538, 513, 9425, 7522, 6512, 1063, 476, 1911, 4939, 543, 476, 3199, 4939, 267, 6978, 6632, 1145, 10301, 6922, 320, 1063, 476, 1724, 281, 876, 543, 476, 1626, 281, 876, 543, 666, 6175, 3648, 267, 3226, 1282, 11270, 5565, 540, 519, 5859, 563, 14454, 267, 519, 2164, 5815, 602, 972, 568, 1713, 1871, 585, 16208, 2361, 7403, 538, 1818, 1463, 7403, 540, 6978, 6632, 1145, 1210, 6978, 6632, 1145, 17157, 8596, 540, 519, 1826, 1031, 1934, 269, 4014, 6978, 6632, 1145, 610, 2627, 6632, 1145, 7403, 616, 711, 3335, 2139, 585, 946, 538, 7998, 3560, 3631, 267, 24588, 6632, 1145, 568, 1419, 20533, 676, 2244, 2627, 3631, 630, 298, 520, 1092, 1696, 620, 1421, 476, 1001, 271, 264, 543, 1369, 3114, 3560, 3631, 630, 290, 2086, 10428, 1696, 620, 1421, 476, 1001, 280, 1040, 3244, 4327, 2627, 6632, 1145, 1239, 267, 607, 513, 6978, 6632, 1145, 9936, 267, 1223, 4061, 581, 1031, 547, 2203, 19760, 274, 13441, 525, 1210, 519, 700, 310, 303, 17466, 27431, 9936, 607, 4330, 1934, 269, 17968, 267, 966, 11520, 2861, 9936, 31907, 267, 936, 681, 295, 2861, 9936, 31907, 267, 1223, 581, 6964, 3079, 563, 275, 269, 275, 7844, 2773, 609, 2463, 547, 519, 3903, 540, 588, 558, 7614, 12998, 1761, 454, 2026, 568, 11617, 7805, 538, 8431, 269, 476, 278, 267, 519, 3310, 540, 519, 3284, 31129, 5223, 568, 5266, 8766, 585, 10063, 1424, 13441, 13260, 538, 6476, 547, 519, 1198, 540, 27431, 9936, 5314, 936, 519, 3852, 497, 338, 2039, 8268, 630, 4343, 269, 276, 547, 476, 2004, 1040, 1717, 267, 519, 3903, 540, 3852, 497, 1281, 1860, 519, 2203, 781, 2702, 547, 16196, 519, 2949, 9588, 540, 519, 13441, 525, 1282, 24817, 630, 8368, 476, 273, 1916, 9556, 1564, 602, 1031, 519, 3852, 497, 338, 1871, 540, 476, 2004, 630, 1492, 5580, 3808, 547, 519, 18505, 1042, 2418, 540, 476, 4343, 269, 276, 585, 3852, 497, 338, 264, 630, 321, 267, 546, 267, 543, 535, 264, 20533, 2418, 1732, 538, 6876, 609, 7422, 538, 6476, 547, 741, 19610, 27431, 3631, 630, 27920, 1947, 267, 513, 267, 524, 267, 543, 552, 264, 799, 1031, 519, 1871, 540, 476, 4343, 269, 276, 269, 769, 1880, 267, 519, 946, 540, 476, 4343, 269, 276, 607, 513, 1871, 3366, 547, 3631, 19765, 26305, 519, 4336, 540, 519, 5434, 563, 763, 15739, 32735, 8711, 513, 1761, 1966, 609, 1210, 519, 1505, 540, 18505, 2590, 3852, 497, 338, 607, 13890, 538, 590, 624, 269, 476, 274, 269, 274, 538, 9341, 2175, 269, 1306, 13890, 676, 715, 655, 6308, 1696, 620, 269, 630, 1220, 275, 1070, 519, 14496, 540, 1226, 908, 6543, 485, 320, 547, 6543, 485, 322, 1152, 6585, 585, 3819, 2175, 630, 324, 3052, 269, 681, 295, 2999, 476, 2004, 4939, 1070, 950, 27431, 666, 28761, 581, 4397, 547, 581, 1804, 269, 2311, 2362, 11195, 2418, 267, 6978, 2759, 2873, 949, 1376, 547, 1831, 513, 1507, 16173, 267, 543, 6543, 485, 322, 3587, 606, 30391, 540, 6543, 485, 338, 269, 2311, 519, 11083, 15674, 3135, 267, 1141, 11667, 11195, 693, 519, 24588, 1377, 2429, 519, 5859, 729, 476, 9262, 4939, 267, 609, 1152, 513, 1906, 20825, 1282, 519, 5671, 518, 11270, 5565, 543, 11270, 9050, 1141, 621, 8593, 2630, 476, 2568, 4939, 267, 713, 1935, 540, 18505, 2590, 3852, 497, 338, 689, 19760, 274, 7403, 729, 2693, 4299, 269, 1717, 267, 519, 1764, 1281, 711, 2408, 547, 723, 4625, 23380, 730, 519, 946, 540, 519, 1505, 267, 607, 519, 10169, 3677, 1871, 540, 476, 2004, 602, 8507, 538, 3631, 609, 1655, 6876, 1869, 6013, 1369, 476, 272, 3044, 11539, 540, 519, 18505, 1042, 3852, 497, 338, 1871, 269, 1323, 4977, 8990, 540, 3284, 31129, 5223, 585, 9341, 22986, 267, 6508, 689, 6978, 29508, 267, 1131, 2087, 519, 6111, 540, 519, 2203, 543, 4061, 3788, 606, 1271, 1858, 585, 2104, 7634, 269, 1717, 267, 922, 13260, 2066, 519, 1804, 2030, 2249, 4763, 1131, 2693, 1683, 513, 4161, 538, 3541, 1516, 513, 5377, 5346, 1611, 1871, 602, 1754, 985, 519, 2121, 5385, 563, 275, 269, 276, 7843, 1602, 531, 13260, 538, 2203, 2773, 454, 9556, 8215, 2418, 11651, 613, 3648, 689, 7422, 693, 1896, 2798, 1282, 519, 5859, 269, 769, 1880, 267, 593, 476, 1789, 5239, 1169, 2203, 25221, 606, 4505, 267, 1447, 13455, 12998, 538, 6476, 547, 519, 8343, 267, 1247, 593, 476, 273, 5437, 267, 1100, 2203, 25221, 1022, 12998, 267, 14669, 547, 7422, 267, 799, 2303, 513, 2178, 12998, 540, 19760, 274, 689, 476, 1724, 281, 876, 547, 476, 1428, 281, 876, 269, 2060, 14621, 547, 519, 27754, 538, 3631, 689, 519, 7422, 593, 476, 273, 5437, 267, 519, 7872, 540, 824, 2959, 540, 19760, 274, 12998, 602, 1131, 711, 581, 20039, 585, 1210, 519, 2582, 2000, 9707, 2203, 1223, 581, 2808, 269, 1280, 1383, 267, 689, 519, 10543, 540, 476, 4029, 5239, 547, 519, 2038, 6640, 540, 476, 273, 5437, 267, 5230, 13247, 5712, 941, 6592, 267, 13745, 609, 2799, 18254, 13441, 525, 540, 19760, 274, 593, 476, 272, 5437, 269, 16842, 6632, 18254, 540, 715, 998, 538, 24467, 543, 18233, 689, 519, 24588, 630, 301, 655, 6308, 1696, 620, 1421, 476, 1220, 271, 264, 547, 519, 4104, 6989, 610, 519, 2362, 3037, 7509, 3294, 1223, 723, 3366, 547, 606, 2333, 538, 3037, 610, 6978, 16445, 15451, 2534, 2630, 24588, 269, 4427, 2425, 550, 15018, 540, 519, 3037, 543, 6978, 16445, 2429, 476, 273, 5437, 1522, 723, 3366, 547, 606, 21381, 540, 19760, 274, 689, 519, 16445, 610, 3037, 4494, 689, 519, 4104, 6989, 630, 295, 753, 523, 1696, 620, 1421, 476, 1001, 278, 1070, 3056, 547, 4767, 5434, 540, 19760, 274, 538, 519, 12784, 269, 901, 1761, 9183, 1131, 711, 581, 1110, 8215, 609, 519, 2582, 2000, 9707, 24588, 4187, 2203, 563, 30182, 1110, 8215, 2418, 585, 24817, 22157, 547, 3858, 1732, 609, 741, 7222, 1974, 540, 7422, 982, 3781, 6066, 2418, 269, 15788, 267, 519, 3670, 3631, 22157, 547, 21467, 560, 1493, 27248, 19760, 274, 18254, 267, 3226, 1282, 11270, 5565, 543, 9050, 950, 782, 3670, 3631, 21467, 560, 13846, 519, 3328, 18254, 676, 811, 982, 476, 1839, 4939, 689, 519, 7222, 3328, 7422, 269, 2986, 1576, 267, 519, 13441, 6482, 3294, 568, 711 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14264, 2065, 682, 641, 1841, 269, 2991, 27683, 543, 21495, 267, 621, 16034, 3791, 538, 2474, 540, 1560, 2450, 543, 5654, 2147, 547, 602, 540, 2274, 641, 1841, 1336, 538, 5607, 543, 4000, 269, 13738, 17794, 1522, 936, 12741, 795, 16331, 541, 4470, 593, 922, 7099, 267, 2450, 543, 4222, 907, 808, 16331, 1513, 616, 711, 519, 16595, 3662, 593, 3618, 269, 4563, 20562, 615, 5288, 11344, 795, 16331, 541, 269, 707, 1378, 623, 1231, 593, 26964, 11059, 10632, 269, 1358, 616, 1419, 13747, 689, 1142, 824, 538, 2474, 540, 519, 7990, 540, 741, 1560, 268, 23202, 1667, 1373, 3109, 538, 7990, 543, 808, 16331, 1513, 2348, 9634, 269, 31733, 674, 697, 269, 12984, 519, 4563, 23202, 615, 24511, 513, 808, 16331, 541, 286, 8073, 2659, 13574, 8111, 15552, 269, 670, 592, 330, 10632, 269, 18766, 689, 922, 6477, 7695, 267, 519, 3109, 20562, 615, 568, 5156, 547, 581, 1447, 15417, 607, 3379, 547, 519, 824, 11954, 7314, 269, 898, 568, 1336, 538, 1614, 17407, 267, 12077, 267, 4000, 267, 5607, 543, 519, 17113, 269, 3967, 476, 279, 267, 476, 1708, 271, 910, 10812, 715, 731, 11770, 8775, 781, 4604, 834, 292, 20891, 6146, 332, 784, 518, 2580, 4553, 676, 476, 13970, 280, 1004, 593, 26964, 269, 2290, 540, 873, 1373, 519, 1480, 1373, 543, 519, 606, 659, 25352, 269, 898, 4016, 547, 513, 2249, 540, 519, 21634, 13160, 1920, 563, 18872, 20562, 615, 5288, 795, 16331, 541, 454, 1692, 1677, 28563, 778, 22458, 6519, 454, 294, 2784, 1304, 6744, 532, 12213, 4804, 595, 2293, 5028, 454, 4692, 517, 595, 1911, 13242, 1280, 22312, 454, 305, 1933, 773, 476, 273, 2871, 10560, 20658, 518, 12313, 454, 15933, 1280, 13628, 454, 18872, 20562, 615, 5288, 795, 16331, 541, 476, 1708, 271, 0, 300, 4394, 543, 3818, 3613, 648, 903, 1223, 581, 1500, 28572, 676, 1582, 28391, 3167, 6472, 563, 20236, 28391, 3167, 6517, 949, 1118, 1286, 11614, 28572, 538, 10430, 779, 4872, 1369, 513, 8717, 1107, 543, 1223, 2569, 4683, 2011, 5533, 547, 3592, 4642, 563, 27319, 4872, 4274, 17363, 570, 4459, 518, 267, 6340, 6619, 540, 13677, 20622, 1963, 1101, 8899, 4211, 12365, 20079, 10985, 1107, 5143, 875, 513, 4999, 540, 3838, 1239, 267, 6007, 1379, 543, 1582, 28391, 2029, 1131, 11904, 6671, 2628, 543, 4159, 27061, 1448, 1652, 563, 8245, 517, 267, 540, 5100, 4872, 12665, 12124, 307, 728, 267, 1767, 281, 968, 9928, 2714, 880, 2199, 8128, 616, 2907, 3206, 827, 1018, 2749, 10754, 786, 1413, 899, 538, 513, 8717, 779, 942, 1107, 543, 519, 4267, 616, 7168, 4230, 15929, 563, 2108, 3528, 476, 10711, 271, 1582, 28391, 3167, 6472, 616, 2693, 547, 581, 28125, 269, 7351, 5515, 1397, 602, 6517, 616, 9361, 7329, 548, 585, 1472, 476, 4817, 260, 540, 519, 1554, 267, 543, 713, 568, 2029, 799, 1223, 2322, 873, 547, 946, 585, 2484, 811, 540, 519, 942, 563, 2108, 20236, 28391, 6517, 4465, 1406, 991, 18736, 5624, 538, 4872, 1107, 789, 2461, 2693, 547, 581, 10519, 539, 2864, 982, 11262, 543, 786, 1175, 2212, 1055, 543, 4163, 856, 741, 1985, 3460, 1310, 21177, 15915, 1055, 269, 3509, 1286, 18736, 5624, 799, 649, 1631, 1491, 585, 11292, 786, 3274, 1831, 28572, 563, 10527, 10605, 693, 799, 3167, 6174, 2029, 568, 3384, 1797, 789, 2461, 849, 2693, 547, 581, 3167, 267, 865, 786, 3132, 4642, 5434, 607, 789, 2461, 9141, 563, 2108, 307, 2586, 1927, 609, 606, 6679, 909, 540, 519, 1239, 799, 786, 5512, 1007, 2533, 547, 3095, 609, 7996, 15915, 267, 649, 2461, 2693, 547, 1294, 513, 5458, 6521, 538, 875, 938, 4872, 1413, 543, 875, 3560, 568, 7307, 563, 2108, 5415, 4055, 585, 1004, 267, 15777, 2011, 543, 811, 3608, 15322, 616, 1175, 519, 1376, 3034, 9928, 2714, 880, 20622, 1963, 8899, 4211, 12365, 20079, 10985, 568, 1373, 4371, 538, 25470, 593, 5988, 476, 2420, 563, 30755, 21542, 20913, 26856, 645, 329, 23152, 330, 5658, 518, 267, 3493, 14280, 26302, 540, 966, 7564, 343, 329, 7238, 267, 13785, 267, 786, 3717, 827, 1200, 2833, 3056, 2048, 292, 2202, 779, 3039, 652, 2749, 685, 543, 10529, 689, 10430, 779, 8899, 12539, 24486, 17130, 10414, 543, 519, 13677, 20079, 19137, 786, 1865, 22649, 585, 1970, 28003, 4872, 540, 519, 2104, 563, 9827, 6340, 693, 519, 2680, 568, 6276, 12138, 267, 16010, 1299, 9483, 4886, 19541, 10615, 693, 595, 2412, 1107, 513, 3060, 540, 519, 1158, 779, 19251, 659, 885, 8149, 547, 5466, 2916, 1689, 1107, 543, 7905, 808, 650, 1323, 762, 267, 17348, 538, 13255, 543, 6052, 693, 519, 2160, 540, 2274, 2644, 563, 305, 659, 3559, 548, 14559, 267, 10615, 540, 18058, 693, 13677, 20622, 1963, 267, 1767, 281, 968, 4415, 519, 13557, 540, 10430, 779, 1379, 1631, 4947, 689, 7791, 1648, 543, 513, 1007, 13677, 8693, 7827, 9291, 538, 519, 1055, 532, 267, 10430, 5170, 547, 1291, 519, 1259, 538, 2679, 513, 1970, 28003, 4346, 563, 2108, 9928, 2714, 880, 20622, 1963, 685, 1101, 2479, 8899, 4211, 12365, 20079, 10985, 7710, 519, 1082, 3255, 585, 10430, 779, 4872, 547, 9784, 519, 5912, 547, 513, 4264, 267, 2973, 267, 3039, 4346, 282, 4227, 1648, 3790, 543, 21365, 4492, 6710, 267, 1247, 19788, 1970, 28003, 5092, 543, 6009, 267, 543, 2679, 938, 6080, 540, 519, 2104, 563, 2108, 290, 885, 2066, 10430, 616, 2907, 585, 3101, 6619, 609, 2666, 31771, 3785, 547, 1232, 12365, 1047, 741, 1648, 7727, 267, 543, 713, 10554, 786, 2671, 519, 2833, 540, 930, 540, 1346, 7341, 563, 2108, 3719, 972, 779, 1869, 513, 1279, 1259, 547, 979, 952, 649, 616, 547, 2743, 938, 16529, 9072, 543, 3035, 519, 3804, 540, 5969, 3327, 693, 519, 9803, 1942, 267, 865, 649, 3580, 1413, 693, 519, 6932, 2093, 2066, 519, 5108, 267, 4859, 267, 3892, 543, 946, 540, 1648, 799, 786, 2981, 938, 4683, 2127, 883, 5100, 4872, 585, 519, 1985, 5108, 3034, 9928, 2714, 880, 20622, 1963, 8899, 4211, 12365, 20079, 10985, 568, 1373, 4371, 693, 519, 2910, 306, 6369, 10985, 10418, 267, 25470, 267, 593, 5988, 476, 2420, 563, 12024, 938, 9365, 8525, 454, 23220, 5799, 12367, 538, 1530, 2378, 797, 20885, 538, 476, 1708, 273, 454, 4692, 623, 4932, 293, 6435, 1677, 13724, 7233, 12618, 585, 19889, 6363, 7037, 12567, 619, 454, 1692, 519, 772, 2529, 269, 6554, 568, 26472, 5682, 6052, 538, 519, 13474, 454, 1321, 12708, 12085, 585, 11370, 3539, 2659, 3689, 5851, 454, 19604, 1145, 532, 20885, 609, 14871, 4211, 22834, 5303, 16743, 454, 21430, 2659, 14134, 540, 11109, 606, 19889, 6363, 7037, 12567, 22067, 6936, 454, 19522, 585, 8838, 2711, 17904, 5004, 538, 2659, 5851, 454, 763, 16581, 11588, 540, 16661, 853, 725, 585, 19889, 6363, 7037, 26478, 454, 1432, 24439, 6732, 30166, 8132, 19889, 6363, 7037, 888, 1692, 19889, 6363, 7037, 4095, 12875, 1235, 2052, 15233, 585, 6250, 553, 547, 8478, 454, 278, 19889, 6363, 7037, 7233, 15369, 10201, 2510, 585, 28064, 15733, 454, 22826, 23067, 2755, 1358, 2461, 8479, 281, 20885, 9669, 585, 2353, 12698, 454, 12749, 476, 276, 11588, 540, 19889, 6363, 7037, 23663, 454, 3963, 19889, 6363, 7037, 23467, 9701, 5620, 30482, 24872, 7741, 454, 30560, 1080, 540, 20885, 27561, 281, 1548, 5272, 15440, 18771, 5700, 454, 20181, 2506, 2153, 543, 11162, 5794, 2098, 2158, 281, 1548, 1411, 10261, 1677, 5700, 454, 275, 18467, 1677, 12706, 589, 12655, 5851, 454, 3963, 21846, 532, 2659, 7577, 547, 606, 12601, 18307, 564, 24439, 23281, 888, 4753, 302, 20574, 28247, 514, 4112, 1622, 1215, 634, 1744, 6235, 12752, 1772, 24613, 5682, 454, 288, 6651, 547, 19889, 6363, 7037, 14924, 25597, 454, 268, 17972, 1556, 3275, 3516, 454, 5353, 1597, 2657, 543, 8881, 9669, 585, 19889, 6363, 7037, 15733, 538, 513, 5682, 5851, 454, 268, 6052, 1556, 3275, 3516, 454, 292, 1723, 6363, 7037, 5851, 14935, 13722, 12539, 14272, 21646, 998, 20523, 5794, 16448, 518, 21252, 454, 268, 17972, 1015, 3275, 3516, 454, 29973, 13832, 585, 19889, 7888, 25021, 883, 1007, 5851, 454, 268, 17972, 1015, 3275, 3516, 454, 276, 3281, 2454, 30258, 547, 670, 790, 606, 19889, 6363, 7037, 20260, 528, 0, 1432, 568, 519, 3017, 1063, 2011, 8410, 1288, 532, 543, 2916, 1852, 286, 8693, 1852, 568, 513, 811, 10427, 1106, 540, 2011, 8410, 1288, 532, 267, 799, 2636, 519, 2837, 540, 513, 6517, 9703, 547, 581, 8308, 6417, 269, 2560, 901, 568, 1114, 547, 2011, 8410, 1288, 532, 267, 799, 814, 922, 3432, 543, 2179, 540, 4411, 2011, 6417, 676, 519, 9920, 563, 1432, 568, 519, 2916, 1852, 888, 20458, 1852, 568, 513, 1062, 585, 9013, 519, 2837, 3330, 513, 6174, 269, 634, 1286, 779, 2916, 1852, 1062, 8060, 519, 8022, 543, 2011, 8410, 1288, 532, 1949, 269, 634, 2916, 1852, 1770, 4188, 338, 519, 2837, 543, 2011, 2095, 3330, 519, 1286, 563, 9989, 2916, 1852, 991, 3204, 23035, 888, 2304, 2011, 14555, 3028, 543, 556, 3154, 568, 5227, 1169, 476, 1240, 3275, 269, 2560, 1717, 513, 556, 3766, 553, 1169, 476, 1240, 3275, 786, 2327, 519, 1062, 568, 2324, 607, 621, 1058, 543, 713, 3028, 786, 849, 5031, 1022, 1761, 24966, 610, 20984, 1369, 519, 1062, 269, 476, 274, 269, 589, 14727, 1949, 2154, 513, 21149, 656, 2126, 21237, 563, 1432, 1281, 10081, 2916, 1852, 798, 888, 8505, 11703, 2916, 1852, 568, 513, 1062, 602, 2636, 513, 9920, 547, 1305, 513, 9053, 2837, 543, 1287, 711, 5855, 827, 556, 14194, 3286, 532, 519, 3002, 610, 2011, 14555, 267, 7064, 547, 538, 268, 557, 327, 1834, 8596, 563, 1692, 798, 594, 917, 952, 1250, 1286, 814, 2916, 1852, 888, 2252, 972, 779, 513, 7735, 609, 8028, 593, 621, 267, 707, 1286, 849, 814, 2011, 14555, 269, 1809, 952, 707, 1286, 814, 513, 3059, 1224, 856, 602, 6645, 596, 538, 5232, 267, 610, 1256, 3368, 5232, 267, 1018, 519, 2837, 568, 267, 602, 779, 2916, 1852, 269, 634, 2837, 2356, 9832, 689, 827, 476, 1626, 547, 476, 1789, 5232, 595, 563, 9989, 2916, 1852, 946, 811, 4492, 888, 4002, 2110, 15143, 621, 786, 946, 811, 4492, 609, 519, 513, 11305, 593, 855, 711, 2614, 811, 547, 5855, 827, 269, 7464, 12463, 294, 6087, 596, 547, 11578, 519, 4492, 4346, 596, 616, 2965, 3478, 1996, 707, 1118, 543, 2203, 540, 1286, 267, 922, 2599, 543, 1826, 540, 6771, 563, 4692, 594, 3888, 2916, 1852, 538, 1250, 1286, 888, 2304, 4095, 2754, 1572, 918, 337, 16194, 15306, 13976, 519, 20000, 12829, 267, 606, 13128, 2916, 1852, 9074, 602, 568, 11720, 539, 693, 827, 476, 275, 267, 4335, 8297, 701, 525, 267, 543, 602, 8060, 519, 2837, 540, 513, 1286, 547, 513, 1095, 564, 1871, 269, 901, 3926, 18795, 593, 707, 21686, 4580, 543, 3217, 827, 476, 1428, 3764, 547, 3888, 269, 1411, 666, 4444, 835, 1934, 563, 1692, 1281, 476, 275, 7997, 2916, 1852, 960, 888, 19177, 18630, 8693, 6513, 454, 2467, 616, 5094, 8060, 585, 519, 9920, 267, 4395, 18213, 267, 543, 519, 15493, 10160, 568, 5258, 538, 1079, 609, 5094, 8060, 585, 1142, 3368, 3850, 2185, 15915, 547, 2972, 741, 1378, 2916, 1852, 5468, 563, 1432, 6517, 723, 12242, 2916, 1852, 888, 1015, 5440, 23663, 609, 32680, 8693, 6513, 454, 268, 4258, 341, 549, 2280, 5689, 756, 340, 563, 268, 932, 24075, 2401, 7414, 320, 563, 268, 667, 17690, 20736, 24546, 563, 268, 16110, 674, 268, 5611, 563, 268, 808, 16331, 541, 674, 6261, 864, 563, 268, 8614, 788, 11412, 1122, 1228, 563, 268, 12493, 13782, 1807, 563, 268, 16186, 681, 1478, 563, 1432, 568, 519, 3017, 1063, 8261, 543, 13128, 2916, 1852, 888, 288, 8261, 2011, 14555, 1062, 13978, 593, 693, 519, 9023, 543, 9514, 518, 4259, 596, 2824, 543, 8952, 593, 25738, 693, 602, 10605, 2394, 596, 6467, 621, 2539, 269, 29725, 520, 3055, 267, 593, 519, 824, 1688, 267, 8850, 8952, 707, 6174, 693, 513, 1808, 2837, 596, 2824, 269, 2560, 1684, 596, 723, 513, 6174, 609, 13128, 2916, 1852, 888, 3674, 621, 1732, 547, 2490, 1055, 8028, 610, 4734, 621, 593, 10081, 888, 7312, 8028, 8255, 693, 519, 1482, 3432, 7488, 540, 1018, 2837, 621, 568, 269, 1677, 3579, 707, 1753, 1524, 811, 267, 621, 3274, 8255, 513, 2370, 3476, 269, 2560, 2659, 8028, 786, 2965, 2196, 3476, 2949, 952, 621, 568, 2451, 593, 782, 1554, 3079, 540, 1373, 9505, 1055, 269, 1403, 596, 2490, 621, 1055, 585, 851, 540, 519, 1554, 267, 621, 8255, 1447, 543, 2164, 538, 811, 1648, 9806, 585, 596, 563, 3674, 621, 1732, 547, 4734, 8028, 593, 10081, 888, 30789, 707, 10178, 593, 27483, 302, 568, 519, 1034, 1648, 18026, 4781, 269, 2560, 1403 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 519, 2837, 540, 519, 4496, 2627, 10393, 2799, 267, 896, 519, 2962, 540, 519, 8955, 4496, 543, 1071, 32681, 13297, 540, 5135, 3114, 5114, 267, 16089, 513, 1804, 2179, 540, 3002, 269, 4935, 7133, 519, 6111, 540, 519, 1966, 267, 609, 519, 5544, 543, 10936, 3154, 3350, 18330, 4646, 513, 9378, 267, 519, 2837, 666, 3914, 811, 982, 519, 13621, 1448, 267, 865, 519, 703, 3878, 568, 23704, 269, 1924, 875, 798, 649, 1852, 519, 6111, 1966, 538, 519, 1184, 540, 5106, 286, 3371, 781, 513, 1413, 912, 272, 269, 19045, 8955, 5969, 547, 3035, 4977, 1852, 540, 1445, 269, 634, 4130, 519, 17122, 3178, 540, 519, 1445, 7828, 267, 519, 4130, 519, 5544, 693, 519, 17122, 1448, 267, 865, 602, 519, 1445, 2990, 666, 581, 3927, 6417, 593, 519, 4496, 2627, 267, 4611, 538, 4824, 5969, 2298, 269, 8838, 4476, 5969, 31432, 566, 2029, 269, 4595, 519, 8955, 2759, 614, 568, 513, 8143, 2759, 267, 621, 568, 849, 2556, 547, 23309, 513, 1507, 8559, 538, 519, 4496, 6676, 267, 543, 1287, 519, 8955, 11237, 6238, 5969, 519, 6676, 689, 519, 1507, 8559, 563, 273, 269, 634, 5114, 540, 4496, 8955, 5969, 7472, 513, 2603, 540, 3002, 267, 865, 519, 1648, 2838, 585, 8955, 5135, 5969, 568, 1152, 476, 272, 270, 273, 540, 519, 13621, 5969, 267, 543, 519, 5969, 3432, 568, 1454, 3152, 982, 519, 8955, 11517, 1436, 5969, 543, 13621, 5969, 563, 274, 269, 21079, 519, 512, 1653, 540, 519, 24362, 15394, 519, 512, 1653, 540, 519, 8559, 4679, 609, 519, 2333, 540, 922, 27934, 5223, 267, 1210, 3617, 8955, 3977, 1648, 610, 1507, 1648, 14578, 23735, 7007, 267, 2110, 17122, 3259, 267, 1507, 7828, 31659, 4994, 543, 2569, 519, 5086, 1063, 519, 19670, 1769, 543, 519, 9804, 7852, 666, 2569, 519, 512, 1653, 540, 519, 8559, 563, 275, 269, 19045, 8955, 5969, 568, 519, 946, 540, 1164, 1648, 5860, 8955, 593, 519, 2627, 540, 28221, 1570, 17655, 267, 865, 602, 519, 1570, 568, 3002, 18493, 730, 856, 540, 513, 1507, 9240, 913, 267, 543, 1287, 4019, 513, 1978, 2179, 540, 2604, 267, 28221, 1570, 786, 581, 29618, 2059, 519, 1507, 9240, 913, 269, 6513, 17795, 568, 519, 946, 540, 8955, 9240, 7174, 950, 519, 14869, 2837, 3892, 267, 538, 519, 28221, 1570, 547, 3132, 2199, 8143, 2566, 267, 865, 602, 519, 1570, 2059, 519, 1507, 9240, 913, 31028, 563, 276, 269, 589, 13630, 675, 2450, 1852, 267, 4496, 8955, 5969, 1210, 513, 1507, 24980, 5086, 540, 519, 8955, 630, 271, 269, 9826, 547, 476, 271, 269, 19740, 2784, 1070, 2110, 523, 519, 17122, 3259, 610, 2569, 519, 3977, 1648, 547, 3489, 513, 1507, 27934, 269, 1280, 13621, 1448, 1164, 269, 6153, 8143, 19428, 540, 519, 1570, 666, 3035, 513, 8006, 540, 476, 271, 269, 4905, 547, 476, 272, 7825, 540, 1507, 8559, 4393, 267, 1507, 27934, 540, 909, 547, 476, 271, 269, 9826, 7825, 563, 268, 1548, 568, 519, 2014, 540, 3276, 3464, 538, 519, 4393, 851, 950, 8955, 5969, 3327, 588, 2465, 454, 268, 1548, 616, 519, 4162, 540, 8955, 5969, 543, 4393, 888, 268, 12866, 1883, 1949, 585, 519, 5826, 543, 5826, 540, 8955, 2759, 1562, 454, 268, 1215, 547, 2759, 856, 513, 1434, 3732, 609, 513, 8955, 2759, 614, 454, 268, 5811, 540, 1455, 2042, 538, 8955, 5969, 543, 4393, 454, 268, 634, 1292, 2188, 7133, 519, 6111, 540, 8955, 5969, 543, 4393, 454, 268, 1215, 547, 2973, 519, 4496, 8955, 5969, 543, 4393, 3334, 454, 268, 1548, 1852, 1949, 616, 4122, 1031, 538, 9804, 5969, 6191, 286, 15017, 268, 6904, 4295, 3334, 616, 1031, 538, 8955, 8856, 5969, 543, 4393, 454, 268, 1323, 2079, 540, 519, 2324, 6240, 543, 4027, 3800, 540, 8955, 5969, 606, 454, 268, 7994, 799, 2798, 547, 2628, 3007, 547, 538, 8955, 5969, 454, 268, 1215, 547, 1852, 519, 6111, 540, 4496, 8955, 5969, 286, 0, 303, 17123, 2986, 5623, 281, 11270, 545, 8611, 267, 3284, 628, 748, 588, 558, 22807, 267, 943, 28640, 4345, 543, 20722, 4345, 630, 303, 293, 4338, 288, 264, 6794, 568, 519, 1034, 1455, 2014, 540, 13350, 8611, 540, 7164, 5169, 538, 6689, 269, 4438, 519, 2063, 1296, 513, 1297, 540, 2090, 593, 1804, 3126, 540, 2550, 723, 8774, 811, 1769, 593, 519, 4890, 4791, 18572, 267, 1279, 3856, 6364, 543, 3210, 547, 2126, 269, 7351, 21668, 4338, 288, 7355, 723, 1970, 23506, 2094, 789, 616, 2318, 538, 513, 9645, 8167, 540, 2550, 609, 15110, 13350, 905, 951, 269, 1284, 1867, 593, 519, 4681, 4947, 689, 519, 2079, 540, 1804, 16649, 2176, 540, 21668, 4338, 288, 2550, 543, 519, 2009, 29943, 585, 519, 11186, 5868, 269, 1323, 9337, 593, 519, 12117, 540, 2009, 605, 29091, 12519, 5574, 543, 9748, 559, 937, 3912, 568, 2016, 269, 10765, 28454, 281, 589, 10368, 6060, 2919, 538, 513, 1804, 3126, 540, 1453, 14439, 2550, 5870, 21668, 4338, 288, 7355, 543, 693, 2362, 1981, 547, 4163, 4143, 13592, 540, 6090, 2404, 609, 13350, 905, 951, 269, 15932, 1242, 2090, 593, 519, 12117, 540, 9748, 559, 937, 3912, 2285, 513, 811, 2963, 2861, 24134, 547, 713, 2009, 9354, 1935, 269, 12834, 281, 634, 4681, 4947, 689, 519, 2487, 3332, 2285, 1007, 1344, 547, 19353, 585, 519, 2953, 10368, 1935, 547, 12963, 543, 2937, 2550, 9306, 13350, 8611, 540, 7164, 5169, 543, 1683, 606, 8242, 7650, 593, 519, 9354, 7399, 585, 2550, 9306, 513, 18094, 540, 8611, 6285, 563, 268, 1313, 7765, 11987, 3676, 454, 268, 11186, 5868, 9748, 559, 937, 3912, 454, 268, 13350, 8611, 454, 3008, 297, 290, 2480, 22455, 1641, 2127, 0, 2421, 17755, 3863, 6953, 650, 4586, 24309, 538, 2296, 454, 4415, 4267, 547, 2042, 269, 19881, 1196, 269, 476, 3707, 274, 563, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 275, 4792, 2008, 12914, 476, 736, 267, 5788, 594, 1589, 621, 568, 513, 22510, 1433, 1344, 8797, 269, 898, 1175, 7959, 513, 3787, 2025, 269, 1403, 596, 1616, 513, 6323, 6881, 540, 3002, 543, 32721, 267, 713, 1433, 568, 711, 513, 3983, 1224, 609, 952, 596, 798, 711, 2247, 519, 4587, 2511, 269, 634, 9642, 3364, 827, 713, 1433, 568, 602, 8579, 11707, 568, 2322, 538, 519, 3296, 540, 3156, 270, 276, 263, 279, 1040, 25873, 543, 8281, 26457, 19392, 2835, 540, 1585, 10643, 267, 2854, 676, 1082, 4589, 543, 3370, 676, 513, 1297, 540, 12326, 585, 1863, 538, 7300, 3898, 269, 8281, 552, 20486, 1547, 26457, 19392, 568, 513, 1641, 602, 814, 513, 2647, 3099, 540, 3156, 267, 1519, 1082, 538, 4052, 543, 4702, 8658, 269, 3883, 281, 14333, 543, 26457, 19392, 630, 307, 23628, 264, 910, 8212, 8644, 516, 17806, 338, 4787, 760, 547, 1547, 14333, 4390, 568, 513, 22905, 2168, 7274, 3160, 547, 519, 5223, 540, 519, 3002, 3773, 547, 606, 1843, 547, 519, 4611, 2837, 1689, 269, 634, 24855, 3002, 4390, 568, 519, 3002, 4390, 829, 1770, 2179, 630, 10485, 1770, 281, 3727, 264, 540, 513, 6986, 6219, 267, 543, 519, 1808, 3002, 4390, 267, 1419, 1572, 3274, 1808, 3002, 267, 568, 519, 3002, 4390, 829, 1770, 2527, 540, 513, 563, 307, 615, 332, 19392, 568, 519, 7936, 540, 6323, 602, 9388, 609, 3002, 543, 2837, 267, 543, 741, 6935, 547, 1648, 267, 960, 267, 5982, 267, 543, 3601, 540, 1196, 826, 341, 1794, 4302, 345, 2593, 2623, 540, 891, 9424, 568, 18170, 676, 519, 2185, 4031, 540, 32721, 799, 6655, 513, 11050, 6609, 1210, 22905, 12550, 2675, 8084, 2168, 9424, 267, 855, 949, 581, 6045, 538, 2474, 540, 18784, 23466, 676, 8579, 269, 26457, 19392, 568, 519, 7936, 540, 2257, 7255, 609, 3002, 543, 2837, 543, 741, 6935, 547, 1648, 543, 960, 269, 9861, 13671, 593, 513, 2647, 2039, 540, 3156, 540, 32721, 267, 713, 1433, 5531, 338, 513, 3126, 540, 7418, 676, 519, 20923, 3744, 538, 519, 1158, 267, 10356, 538, 606, 1931, 569, 6073, 269, 634, 1433, 568, 5921, 585, 606, 2606, 1576, 593, 14333, 543, 26457, 19392, 269, 22716, 529, 814, 1044, 2016, 547, 519, 17950, 540, 32721, 269, 634, 1433, 3096, 3099, 540, 12222, 267, 12125, 543, 1565, 11226, 547, 5512, 2653, 1620, 540, 519, 1641, 269, 14333, 1656, 1196, 826, 341, 1794, 4302, 345, 2593, 910, 5131, 4647, 661, 1504, 267, 18361, 267, 30930, 267, 14871, 6651, 7300, 6119, 593, 519, 4950, 3533, 543, 3362, 269, 8827, 15015, 7177, 26457, 19392, 4518, 1656, 14333, 18734, 14333, 1656, 26457, 19392, 1635, 17124, 645, 8643, 589, 2381, 21584, 3883, 14333, 1656, 26457, 19392, 2098, 655, 753, 5652, 8827, 15015, 8281, 14333, 1656, 26457, 19392, 1635, 2098, 655, 753, 5652, 563, 11321, 476, 6021, 267, 5788, 4107, 9945, 946, 26365, 8212, 676, 5576, 549, 25005, 269, 594, 6557, 711, 513, 10178, 540, 713, 1433, 1317, 972, 616, 1100, 3435, 543, 972, 616, 1100, 1383, 2042, 269, 594, 6836, 4466, 1776, 8143, 6323, 1433, 602, 594, 2731, 17329, 543, 713, 729, 2731, 2352, 269, 594, 1185, 269, 14333, 6818, 1152, 607, 621, 22613, 519, 10465, 540, 513, 1062, 543, 519, 4287, 540, 3002, 4483, 568, 689, 2362, 2837, 547, 2539, 2837, 269, 1280, 32721, 1129, 15007, 267, 3002, 11843, 547, 513, 1062, 568, 2318, 282, 14333, 11843, 689, 513, 1062, 568, 2942, 269, 634, 3002, 2877, 547, 6318, 513, 1843, 781, 2837, 689, 570, 476, 272, 547, 570, 476, 273, 568, 269, 3057, 476, 2641, 267, 5788, 4460, 654, 269, 2098, 655, 753, 5652, 14333, 543, 26457, 19392, 630, 539, 826, 341, 1794, 4302, 345, 2593, 264, 17755, 3863, 6953, 650, 3883, 7577, 5549, 269, 3600, 13681, 520, 476, 278, 21584, 25253, 269, 2480, 10165, 676, 1148, 332, 13453, 1210, 32588, 667, 13612, 269, 14333, 18734, 7177, 26457, 19392, 269, 14333, 543, 26457, 19392, 9664, 4460, 654, 269, 2098, 655, 753, 5652, 267, 1912, 6185, 269, 16840, 1222, 630, 14737, 3065, 1863, 264, 22490, 547, 2070, 11657, 270, 9349, 269, 7046, 281, 14333, 543, 26457, 19392, 269, 2776, 2183, 269, 1879, 519, 1101, 7160, 540, 834, 28959, 543, 26457, 19392, 257, 7902, 13977, 1296, 3516, 267, 621, 729, 5497, 585, 1053, 8600, 585, 11678, 538, 6323, 267, 538, 269, 0, 8489, 547, 979, 585, 1863, 2228, 4116, 3318, 1646, 912, 28097, 525, 519, 3017, 1063, 30854, 543, 30854, 7981, 269, 4112, 1622, 950, 519, 30854, 7981, 4971, 568, 3730, 269, 23227, 919, 875, 547, 946, 30854, 7981, 547, 4894, 1257, 11249, 563, 17504, 476, 1001, 271, 267, 2422, 30854, 7981, 267, 30854, 543, 30854, 7981, 267, 1215, 798, 594, 13594, 267, 918, 1321, 267, 918, 268, 1321, 267, 11334, 267, 11819, 5303, 267, 11819, 16065, 4886, 267, 8433, 476, 1001, 271, 20861, 454, 311, 655, 774, 17845, 332, 645, 14504, 328, 22870, 17554, 379, 339, 932, 807, 590, 17554, 375, 15917, 10609, 5451, 322, 281, 4179, 2517, 338, 1511, 15282, 4355, 3820, 270, 577, 807, 5498, 0, 314, 21529, 316, 1496, 573, 3095, 2639, 7437, 9721, 22707, 267, 22255, 328, 7315, 13950, 513, 6578, 540, 3592, 513, 5479, 20789, 338, 799, 568, 1031, 547, 948, 3384, 6082, 3976, 11173, 8581, 781, 2245, 540, 8757, 856, 547, 824, 2022, 12258, 11102, 6082, 563, 5278, 13565, 29941, 454, 7437, 543, 9721, 454, 7437, 1010, 3993, 267, 1312, 689, 634, 23778, 1975, 27247, 543, 634, 31578, 674, 1069, 1195, 19198, 267, 16452, 568, 540, 2296, 267, 13677, 267, 1977, 16350, 543, 540, 6552, 9721, 16350, 563, 265, 2274, 514, 3122, 2829, 543, 15438, 538, 4168, 2053, 6032, 269, 476, 3451, 1107, 476, 7367, 267, 634, 772, 320, 631, 2801, 548, 577, 331, 664, 333, 15438, 540, 2725, 987, 267, 6032, 269, 476, 3445, 1107, 476, 13040, 267, 4168, 15438, 540, 1230, 333, 25638, 267, 6032, 269, 476, 10082, 1107, 476, 3707, 267, 6754, 654, 1023, 327, 267, 538, 9721, 24285, 543, 4804, 3414, 519, 12698, 267, 1196, 563, 7437, 18279, 26396, 267, 30338, 8055, 568, 849, 513, 11397, 3448, 630, 476, 274, 6113, 23013, 2899, 6569, 3738, 540, 6723, 24527, 26396, 267, 519, 9721, 31075, 543, 24180, 563, 2690, 1383, 267, 5261, 9721, 729, 519, 676, 1467, 538, 667, 830, 23618, 633, 18225, 630, 5988, 267, 476, 3707, 273, 3738, 593, 1010, 476, 3707, 273, 1650, 834, 898, 16874, 547, 2142, 12653, 1457, 14307, 630, 2707, 540, 519, 476, 4198, 275, 21238, 670, 3558, 32024, 7260, 681, 792, 32001, 3738, 543, 1759, 593, 670, 269, 717, 269, 28243, 1412, 2110, 1650, 834, 3414, 513, 32001, 834, 563, 7437, 513, 6498, 540, 519, 7681, 1634, 607, 2480, 6759, 337, 630, 9721, 585, 834, 6060, 834, 264, 519, 717, 8150, 8992, 9721 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27433, 11668, 27102, 1318, 540, 1857, 8574, 547, 513, 19574, 1268, 267, 859, 1112, 532, 513, 19574, 689, 1010, 17017, 1747, 540, 15335, 267, 4929, 2168, 267, 4638, 267, 11913, 267, 2804, 543, 3929, 6057, 267, 666, 581, 10336, 2213, 609, 26646, 540, 711, 1447, 982, 3670, 3275, 267, 602, 666, 8831, 909, 547, 1079, 1296, 269, 898, 10238, 1080, 7130, 1996, 513, 19574, 1268, 593, 12406, 1519, 24677, 267, 19944, 6672, 610, 15490, 2126, 538, 3872, 24284, 267, 2533, 267, 7694, 267, 3782, 269, 25890, 540, 3961, 281, 634, 9291, 2829, 602, 513, 19574, 1268, 4927, 723, 519, 1318, 547, 1582, 12656, 18727, 4008, 3961, 269, 589, 15149, 540, 3961, 666, 581, 5833, 693, 519, 10588, 7395, 626, 3433, 779, 5604, 543, 513, 15428, 15149, 568, 547, 581, 5833, 952, 3023, 568, 4957, 269, 634, 3915, 814, 513, 11865, 602, 2488, 19574, 519, 1318, 540, 15335, 609, 3237, 543, 7525, 1920, 2818, 269, 28054, 3800, 676, 519, 2229, 281, 634, 9291, 19528, 602, 519, 6554, 786, 25666, 19574, 6213, 267, 1875, 3613, 25634, 2358, 543, 1875, 1673, 4593, 3234, 22922, 10304, 14565, 543, 15961, 269, 634, 2229, 4927, 1683, 2069, 267, 5026, 543, 16351, 6703, 585, 19574, 1004, 269, 3038, 2888, 585, 5094, 7486, 13178, 18013, 543, 3023, 15260, 9892, 23361, 1058, 849, 581, 3177, 676, 519, 2229, 269, 634, 6239, 6554, 786, 1305, 909, 519, 2817, 7027, 585, 3690, 14054, 31080, 630, 301, 6311, 1916, 9558, 14054, 568, 513, 1268, 4171, 4008, 1281, 711, 6474, 609, 519, 4008, 8655, 547, 602, 1268, 693, 4332, 543, 2882, 1098, 17907, 610, 1098, 2914, 2674, 630, 31347, 610, 711, 971, 1268, 814, 22734, 11557, 1234, 817, 9892, 17889, 610, 9449, 3797, 610, 8955, 3797, 610, 971, 824, 3797, 1070, 1268, 609, 954, 16303, 7648, 267, 4008, 4302, 518, 543, 1268, 2348, 971, 8739, 14426, 9163, 607, 10252, 1676, 267, 554, 6359, 571, 267, 27442, 7079, 328, 543, 28185, 3279, 269, 1160, 22128, 1996, 7130, 281, 634, 2920, 10238, 1080, 519, 7130, 1996, 513, 19574, 1268, 267, 1519, 24677, 540, 3028, 610, 15490, 2126, 538, 6935, 547, 281, 630, 328, 264, 2069, 282, 630, 4512, 264, 7694, 282, 630, 13839, 264, 3782, 282, 630, 643, 264, 1569, 547, 267, 610, 18399, 540, 5370, 267, 6703, 267, 3255, 2139, 547, 519, 1857, 282, 630, 341, 264, 1318, 547, 3350, 282, 630, 12858, 264, 1318, 547, 21078, 267, 10519, 267, 610, 6382, 19582, 3959, 282, 630, 341, 4512, 264, 4316, 547, 3180, 1857, 610, 4357, 5604, 282, 543, 630, 341, 13839, 264, 1569, 547, 513, 2229, 610, 4357, 10661, 538, 4171, 1416, 610, 26692, 513, 19574, 1268, 568, 269, 3690, 326, 11367, 723, 519, 1739, 2924, 1107, 15335, 267, 7694, 267, 2069, 267, 1072, 6703, 547, 19574, 7606, 1519, 5094, 7486, 13178, 18013, 267, 543, 3023, 15260, 9892, 23361, 269, 15928, 30868, 1107, 634, 2229, 1058, 1118, 11865, 585, 3795, 540, 2564, 9276, 676, 513, 3102, 6142, 10325, 585, 11557, 1234, 817, 9892, 17889, 267, 17441, 3797, 267, 8955, 3797, 610, 1022, 824, 1072, 2152, 540, 19574, 7606, 269, 25890, 540, 3961, 585, 513, 19574, 1268, 547, 581, 9783, 676, 10588, 7395, 626, 3433, 269, 5510, 1878, 543, 20507, 281, 634, 2920, 17767, 519, 1739, 1055, 1878, 1996, 19574, 7606, 281, 630, 328, 264, 7142, 610, 27433, 11668, 630, 1410, 6984, 25471, 2229, 3028, 585, 1857, 5301, 1070, 630, 4512, 264, 24677, 540, 946, 454, 1993, 1857, 4025, 267, 630, 13839, 264, 8851, 689, 7622, 267, 543, 8498, 267, 630, 643, 264, 2168, 267, 4638, 267, 11913, 267, 3929, 610, 2804, 6057, 269, 6755, 531, 2906, 585, 891, 1055, 1878, 4268, 1063, 3670, 3275, 543, 1079, 1296, 267, 543, 513, 5386, 269, 2817, 7027, 585, 3690, 14054, 7606, 630, 301, 6311, 2567, 634, 715, 6311, 786, 2874, 540, 281, 630, 328, 264, 5742, 10579, 585, 4317, 10456, 630, 2419, 1515, 17367, 5148, 630, 4512, 264, 10579, 540, 3557, 585, 4317, 10456, 630, 309, 823, 268, 17348, 17367, 5148, 630, 13839, 264, 14199, 540, 519, 12080, 540, 4317, 10456, 282, 630, 643, 264, 835, 11347, 689, 1295, 31559, 1519, 2657, 267, 5851, 16457, 267, 543, 5274, 8249, 4886, 563, 8448, 2818, 1331, 13222, 540, 519, 22078, 2316, 589, 599, 690, 267, 543, 519, 2817, 5274, 7126, 8189, 269, 3557, 6608, 786, 849, 581, 6719, 269, 634, 7027, 786, 849, 2874, 540, 2947, 2818, 689, 519, 19574, 2146, 543, 2947, 4966, 689, 1875, 3766, 21194, 14540, 269, 0, 763, 12910, 23155, 7126, 4676, 619, 1677, 454, 1607, 2165, 4016, 2665, 454, 4263, 519, 2451, 540, 519, 4137, 616, 2238, 1644, 547, 12170, 7634, 269, 3557, 711, 609, 535, 6767, 6042, 267, 1519, 606, 11234, 269, 634, 2165, 6252, 2924, 4016, 547, 14520, 2818, 540, 1018, 22681, 3919, 16091, 9913, 4609, 538, 8303, 593, 5437, 476, 1724, 476, 1001, 276, 901, 2626, 814, 269, 6736, 891, 2924, 4016, 547, 3277, 547, 1685, 711, 25106, 6411, 799, 616, 1419, 14845, 1317, 1239, 616, 711, 269, 634, 9868, 568, 9672, 538, 519, 2013, 1876, 540, 519, 7981, 7040, 585, 23683, 2274, 821, 563, 5575, 5822, 543, 12059, 2622, 8315, 6732, 5741, 269, 912, 268, 2986, 4790, 745, 532, 634, 15928, 1323, 20260, 16301, 454, 268, 17318, 674, 597, 1280, 23452, 26671, 6732, 454, 268, 30905, 11657, 27752, 2473, 1186, 563, 268, 4563, 1849, 9476, 2494, 454, 268, 1703, 568, 513, 1644, 3390, 269, 6755, 531, 1399, 8779, 769, 12280, 306, 1460, 628, 267, 18765, 267, 607, 1134, 607, 2653, 547, 946, 543, 1174, 563, 268, 9365, 27748, 10496, 10849, 15394, 13401, 1310, 606, 2962, 814, 3144, 1747, 543, 1419, 3382, 513, 1895, 540, 8852, 269, 22682, 267, 20471, 267, 610, 931, 793, 2465, 540, 5370, 15189, 7127, 693, 1022, 2688, 5264, 896, 713, 3296, 949, 723, 1022, 973, 6847, 896, 519, 9821, 8907, 4031, 610, 949, 723, 519, 16185, 2016, 676, 713, 2920, 538, 2665, 5473, 5370, 15189, 7127, 610, 25868, 269, 16237, 28517, 18837, 6757, 1108, 1382, 7616, 585, 28595, 568, 606, 5907, 13374, 616, 1373, 7396, 538, 1840, 547, 581, 13380, 543, 2079, 267, 1317, 2126, 543, 269, 1924, 621, 568, 10375, 547, 1376, 676, 6236, 519, 2470, 543, 9165, 540, 602, 1876, 269, 26386, 513, 28866, 12358, 7467, 654, 1329, 563, 32743, 2581, 543, 519, 1523, 540, 16324, 2689, 941, 796, 6247, 6627, 543, 711, 269, 10910, 714, 617, 788, 657, 1080, 1118, 9073, 540, 519, 2165, 6252, 2924, 4016, 547, 286, 15845, 540, 519, 2783, 540, 519, 4123, 267, 14327, 1369, 24185, 616, 267, 23446, 610, 24163, 540, 519, 6167, 25943, 269, 1323, 16108, 1058, 581, 3144, 883, 1404, 269, 3943, 543, 5545, 13567, 269, 2136, 2276, 540, 3013, 269, 1261, 3459, 1603, 1010, 1378, 4930, 543, 3370, 1082, 26687, 3585, 610, 896, 15554, 11618, 269, 17235, 10644, 1299, 22518, 10456, 21602, 476, 1556, 6206, 12983, 476, 272, 269, 9701, 2486, 3398, 32270, 286, 7439, 1058, 1533, 543, 2199, 6608, 2508, 1382, 267, 4464, 539, 267, 782, 2043, 723, 1978, 7915, 2924, 602, 2392, 730, 519, 4367, 540, 3540, 1242, 7239, 563, 7069, 674, 2948, 2572, 12910, 23155, 1677, 7126, 634, 4676, 619, 563, 7197, 2228, 4704, 13366, 543, 4930, 798, 711, 723, 2985, 2338, 269, 25511, 1852, 568, 513, 11786, 3390, 602, 568, 827, 2123, 2924, 269, 901, 3609, 568, 711, 513, 12990, 585, 15388, 519, 3656, 2152, 602, 949, 8451, 538, 606, 1367, 2013, 269, 2422, 540, 6252, 2924, 4016, 547, 519, 2165, 568, 513, 7522, 24845, 5385, 540, 15668, 269, 5269, 741, 1378, 1382, 1184, 540, 519, 7005, 2665, 267, 2924, 547, 5123, 1354, 15385, 513, 12689, 269, 6115, 1683, 4922, 269, 15350, 11603, 547, 17303, 3180, 1239, 547, 15558, 3604, 1063, 519, 5665, 11250, 540, 1114, 3457, 267, 519, 1377, 540, 6111, 2838, 267, 616, 20244, 15490, 269, 9182, 711, 1491, 1747, 4704, 547, 286, 898, 568, 711, 581, 1759, 593, 513, 1876, 995, 1065, 5142, 531, 267, 2853, 1369, 513, 5758, 543, 10700, 3804, 729, 14661, 547, 2057, 2458, 4575, 609, 269, 1879, 2924, 4016, 547, 6252, 609, 2463, 547, 513, 1318, 269, 634, 2924, 4016, 547, 3277, 547, 948, 888, 10521, 610, 1020, 10368, 3457, 454, 268, 1677, 6536, 11413, 267, 1374, 5752, 543, 12319, 616, 3177, 269, 2677, 32606, 513, 4791, 4693, 538, 799, 1079, 610, 811, 2516, 540, 5171, 4309, 1114, 7459, 269, 3057, 12064, 642, 23885, 17461, 12834, 1299, 19043, 269, 1280, 4693, 14223, 824, 9333, 752, 902, 267, 543, 519, 2165, 814, 20109, 519, 6228, 610, 930, 2043, 540, 2924, 2147, 547, 581, 10805, 538, 3210, 568, 6157, 2009, 269, 15766, 2209, 547, 3631, 267, 649, 3112, 6655, 6835, 538, 519, 6408, 1590, 24559, 2933, 538, 796, 22497, 543, 547, 2924, 616, 2196, 585, 513, 2783, 593, 11994, 540, 519, 269, 1879, 596, 2132, 547, 519, 6313, 6728, 267, 519, 29611, 540, 856, 571, 2471, 2390, 2123, 15683, 267, 855, 1152, 2982, 875, 519, 2029, 5222, 4199, 8928, 269, 769, 713, 9183, 267, 621, 1590, 1101, 581, 5078, 269, 654, 3994, 995, 31710, 543, 18837, 2257, 281, 634, 991, 547, 10038, 6760, 22475, 269, 8210, 2125, 577, 10762, 11620, 1403, 972, 568, 1100, 3247, 1899, 610, 3444, 19769, 267, 543, 865, 593, 269, 6356, 4369, 5510, 2658, 20497, 1646, 540, 1863, 3301, 568, 1100, 3476, 8966, 282, 971, 1863, 5010, 3301, 568, 1360, 1271, 269, 2368, 6608, 723, 5189, 519, 946, 540, 1979, 6248, 338, 607, 606, 4824, 3354, 2268, 538, 29307, 1780, 7964, 267, 4611, 538, 18687, 547, 6285, 547, 3313, 519, 10569, 1031, 269, 16709, 540, 3140, 14501, 538, 2257, 666, 1683, 3255, 585, 1053, 547, 2697, 519, 2093, 267, 607, 513, 5339, 267, 865, 707, 15376, 3498, 786, 581, 1500, 998, 938, 2518, 3896, 269, 634, 4147, 589, 2388, 6820, 6651, 2475, 700, 987, 600, 1299, 20242, 9469, 700, 10861, 269, 634, 2165, 1412, 1706, 5537, 2924, 262, 4016, 547, 589, 7126, 16798, 676, 513, 1533, 11156, 602, 616, 2147, 547, 519, 2924, 16798, 676, 519, 2475, 11156, 645, 7126, 269, 25890, 563, 268, 14959, 267, 610, 540, 519, 1543, 540, 2792, 1644, 547, 602, 11834, 269, 1280, 948, 609, 2564, 2474, 1294, 519, 2405, 1467, 31936, 6481, 15610, 5530, 2594, 9946, 1058, 3277, 547, 519, 16257, 32310, 4578, 269, 634, 594, 10135, 290, 1568, 593, 519, 4493, 540, 22637, 269, 2290, 1870, 789, 666, 3277, 596, 949, 610, 949, 581, 14360, 1394, 982, 1200, 28643, 16172, 27502, 971, 2963, 269, 12601, 19324, 20138, 1218, 17567, 547, 1719, 2557, 28654, 543, 17613, 267, 941, 5916, 609, 6932, 3029, 540, 2564, 267, 1454, 5673, 2390, 2436, 519, 2963, 6035, 568, 6325, 269, 3657, 711, 6252, 543, 519, 5373, 568, 9286, 607, 513, 5133, 16879, 269, 634, 11083, 293, 8534, 14898, 21078, 1369, 11298, 297, 269, 901, 1797, 602, 621, 568, 711, 513, 23610, 3390, 855, 513, 3656, 835, 269, 808, 5459, 25007, 563, 268, 634, 14664, 2465, 1281, 711, 3144, 519, 2165, 6252, 2924, 547, 519, 5106, 540, 286, 12229, 568, 2324, 3652, 2229, 3483, 568, 27838, 676, 11488, 2829, 602, 4016, 547, 519, 6252, 2924, 1131, 581, 2963, 540, 519, 10178, 543, 269, 634, 1148, 540, 1603, 513, 3621, 2376, 269, 1403, 972, 568, 1100, 5478, 1369, 713, 1974, 267, 519, 15034, 941, 9901, 609, 519, 705, 9134, 540, 1896, 4627, 2818, 540, 519, 6167, 17030, 538, 23683, 2274, 821, 4708, 15209, 4229, 543, 609, 1210, 873, 607, 3984, 1137, 269, 4634, 952, 1100, 1808, 9819, 568, 17298, 267, 29071, 267, 6920, 519, 4110, 540, 10727, 610, 21341, 602, 519, 1870, 666, 1747, 593, 513, 1184, 8236, 519, 5551, 3853, 610, 6859, 269, 634, 2243, 729, 519, 6708, 547, 799, 513, 12497, 16726, 666, 3313, 2436, 972, 568, 513, 10171, 540, 10539, 269, 15215, 610, 14097, 2907, 16109, 856, 269, 2986, 519, 2817, 9142, 540, 7070, 607, 513, 6252, 3919, 540, 14222, 679, 268, 269, 30334, 10326, 2423, 11789, 563, 268, 3038, 3660, 1657, 5018, 1657, 741, 1318, 547, 3277, 4896, 945, 616, 1114, 2474, 543, 2165, 269, 634, 24769, 568, 5701, 607, 952, 621, 5342, 922, 1870, 593, 15773, 540, 519, 2924, 23649, 269, 6452, 7951, 566, 13668, 1419, 9305, 547, 960, 16131, 267, 2523, 3823, 519, 13753, 789, 616, 10647, 543, 519, 7422, 789, 616, 1818, 269, 1879, 972, 568, 6870, 676, 713, 3296, 610, 519, 2165, 6252, 4016, 547, 2924, 1223, 849, 3082, 543, 945, 29875, 269, 3689, 519, 1523, 540, 14353, 28944, 2919, 607, 606, 1858, 538, 799, 7453, 269, 21584, 1656, 5071, 1473, 340, 2758 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 949, 581, 11117, 538, 713, 2376, 267, 610, 3409, 602, 949, 581, 1500, 676, 922, 10672, 267, 568, 711, 16798, 610, 31045, 676, 519, 17404, 563, 763, 4589, 1131, 899, 547, 9684, 782, 540, 519, 20691, 945, 8067, 1229, 741, 942, 282, 1510, 873, 713, 1788, 1131, 711, 723, 1044, 2009, 563, 763, 4675, 11915, 7698, 585, 713, 2376, 666, 581, 1336, 2228, 693, 281, 4179, 2517, 4178, 8807, 3224, 4536, 514, 3820, 270, 14895, 270, 1015, 269, 24783, 280, 11721, 333, 322, 597, 269, 1708, 272, 269, 278, 2537, 27843, 270, 21459, 258, 26625, 11915, 2173, 1468, 454, 17951, 340, 5028, 267, 808, 269, 589, 1421, 1234, 17458, 6441, 648, 333, 345, 267, 623, 269, 589, 1421, 654, 3739, 5069, 267, 667, 269, 570, 1421, 543, 1530, 573, 2401, 267, 681, 269, 667, 269, 630, 1001, 271, 1040, 19928, 1903, 540, 8901, 2324, 3965, 547, 1471, 340, 558, 19318, 1565, 269, 808, 269, 595, 1758, 269, 11671, 338, 857, 269, 476, 2420, 267, 476, 4489, 278, 1700, 4350, 271, 269, 8222, 281, 476, 1015, 269, 14138, 273, 10768, 665, 333, 269, 1220, 280, 269, 22659, 7906, 454, 17951, 340, 5028, 267, 808, 269, 589, 1421, 1234, 17458, 6441, 648, 333, 345, 267, 623, 269, 589, 1421, 654, 3739, 5069, 267, 667, 269, 570, 1421, 543, 1530, 573, 2401, 267, 681, 269, 667, 269, 630, 1001, 272, 1040, 23299, 547, 4497, 8901, 2324, 3965, 8309, 547, 2085, 5829, 23229, 538, 1471, 340, 558, 19318, 1565, 269, 808, 269, 595, 1758, 269, 11671, 338, 857, 269, 476, 2537, 267, 476, 1556, 1700, 1839, 269, 8222, 281, 476, 1015, 269, 14138, 273, 10768, 665, 333, 269, 1001, 271, 269, 20969, 7906, 454, 15368, 1676, 267, 631, 1421, 853, 23167, 267, 589, 269, 595, 1421, 715, 553, 337, 7236, 267, 808, 1421, 667, 532, 525, 267, 667, 269, 674, 1421, 18703, 267, 570, 269, 631, 1421, 717, 584, 267, 681, 269, 595, 1421, 1696, 620, 269, 630, 1708, 272, 1040, 12186, 540, 2212, 16365, 28550, 5127, 1964, 7132, 11506, 2910, 273, 593, 5042, 2773, 269, 808, 269, 10331, 269, 4284, 2723, 269, 476, 9873, 267, 476, 11277, 276, 1700, 14862, 277, 269, 8222, 281, 476, 1015, 269, 12893, 273, 10768, 1952, 331, 31850, 2723, 269, 25484, 4792, 269, 1708, 271, 454, 13051, 15924, 328, 267, 962, 1421, 543, 670, 5255, 6199, 267, 962, 269, 630, 1960, 276, 1040, 2552, 13764, 519, 7301, 6602, 2557, 281, 513, 4052, 543, 3532, 1935, 547, 2789, 4152, 269, 808, 269, 681, 269, 6465, 269, 17502, 269, 5395, 269, 645, 6465, 269, 6396, 565, 269, 476, 6872, 267, 476, 29579, 1700, 4968, 269, 8222, 281, 476, 1015, 269, 9340, 272, 10768, 269, 25172, 278, 268, 277, 1626, 272, 269, 1960, 276, 6745, 321, 22903, 4029, 11859, 454, 14937, 267, 674, 269, 744, 1421, 6022, 657, 7288, 267, 654, 269, 670, 1421, 1684, 343, 5674, 8566, 553, 3118, 267, 667, 269, 667, 1421, 543, 1763, 577, 651, 267, 631, 269, 674, 269, 630, 1960, 276, 1040, 966, 652, 24212, 29010, 1739, 20771, 2230, 325, 2775, 281, 6051, 689, 2022, 325, 2775, 2022, 1116, 16132, 269, 2920, 320, 744, 1729, 700, 28640, 565, 269, 4675, 331, 269, 476, 26392, 623, 339, 476, 273, 267, 476, 14596, 1700, 3393, 275, 269, 8222, 281, 476, 1015, 269, 20542, 280, 270, 1822, 13932, 279, 4817, 6021, 272, 21857, 9834, 454, 14937, 267, 674, 269, 744, 1421, 6022, 657, 7288, 267, 654, 269, 670, 1421, 1763, 577, 651, 267, 631, 269, 674, 1421, 594, 3258, 20076, 267, 631, 1421, 2871, 539, 787, 267, 674, 1421, 543, 18722, 267, 667, 269, 808, 269, 630, 1960, 280, 1040, 2598, 8306, 540, 2022, 1116, 1224, 2194, 566, 676, 16931, 658, 15128, 1739, 2230, 8184, 269, 808, 269, 966, 652, 756, 269, 1763, 269, 476, 280, 267, 476, 3607, 280, 1700, 274, 4281, 269, 8222, 281, 476, 1015, 269, 26825, 274, 270, 1407, 268, 1960, 280, 268, 31405, 277, 454, 289, 5979, 558, 6199, 267, 808, 269, 808, 1421, 22642, 267, 645, 269, 570, 1421, 28137, 267, 670, 269, 590, 1421, 543, 25109, 822, 4673, 267, 589, 269, 623, 269, 630, 1001, 276, 1040, 31514, 16106, 2773, 1210, 9300, 574, 19318, 13916, 2866, 269, 13571, 269, 5204, 560, 269, 11671, 338, 857, 269, 476, 280, 281, 15782, 269, 8222, 281, 476, 1015, 269, 24783, 280, 11721, 985, 903, 269, 1001, 276, 269, 9826, 3066, 454, 289, 5979, 558, 6199, 267, 808, 269, 808, 1421, 22642, 267, 645, 269, 570, 1421, 8055, 267, 590, 269, 700, 1421, 670, 826, 321, 1676, 267, 654, 269, 623, 1421, 543, 1763, 577, 651, 267, 631, 269, 674, 269, 630, 1960, 278, 1040, 16511, 558, 19318, 2212, 2389, 337, 6064, 11558, 2994, 1739, 2230, 8184, 269, 808, 269, 966, 652, 756, 269, 1763, 269, 476, 278, 267, 476, 14065, 1700, 10082, 269, 8222, 281, 476, 1015, 269, 26825, 274, 270, 1407, 268, 1960, 278, 268, 7761, 268, 28906, 454, 289, 1442, 267, 744, 1421, 1284, 580, 3881, 267, 595, 1421, 543, 25204, 6199, 267, 808, 269, 808, 269, 630, 1001, 271, 1040, 15465, 3747, 540, 1480, 9300, 574, 19318, 2773, 1282, 606, 6905, 2230, 5692, 281, 513, 12242, 2389, 2532, 1353, 269, 2997, 9332, 269, 6611, 30287, 269, 2405, 269, 476, 10037, 267, 476, 279, 866, 1700, 279, 2190, 269, 8222, 281, 476, 1015, 269, 28178, 278, 270, 553, 655, 269, 18605, 279, 269, 1001, 271, 454, 289, 1195, 548, 267, 681, 1421, 631, 839, 5424, 267, 589, 269, 674, 1421, 962, 9655, 5866, 267, 918, 1421, 2974, 14241, 267, 590, 1421, 2271, 571, 9366, 807, 267, 589, 1421, 570, 878, 553, 267, 570, 1421, 1696, 620, 269, 630, 1220, 272, 1040, 22532, 1224, 2194, 566, 547, 3047, 779, 8904, 1739, 2132, 689, 2230, 269, 808, 269, 11671, 31850, 2723, 269, 476, 10436, 267, 476, 21076, 279, 1700, 18891, 273, 269, 8222, 281, 476, 1015, 269, 12893, 273, 10768, 333, 269, 1220, 272, 269, 10436, 269, 275, 269, 21076, 279, 454, 289, 32569, 990, 267, 594, 269, 594, 1421, 962, 655, 601, 685, 12505, 990, 267, 631, 269, 667, 1421, 4223, 3272, 5271, 267, 589, 269, 667, 1421, 31615, 572, 341, 267, 661, 269, 594, 1421, 20579, 553, 990, 267, 594, 269, 918, 1421, 962, 752, 990, 4582, 320, 267, 594, 269, 918, 1421, 1696, 620, 269, 630, 3192, 277, 1040, 6611, 4469, 2074, 769, 634, 590, 1195, 15120, 6611, 8154, 281, 4437, 32441, 3194, 269, 4414, 6229, 4975, 267, 11404, 281, 20855, 1676, 4889, 919, 563, 5141, 2946, 618, 267, 717, 269, 681, 1421, 15196, 548, 267, 681, 269, 667, 1421, 6723, 267, 918, 269, 589, 1421, 20307, 267, 717, 269, 589, 1421, 1763, 577, 651, 267, 631, 269, 674, 1421, 13879, 267, 570, 269, 808, 1421, 1696, 620, 269, 630, 1708, 271, 1040, 12694, 547, 519, 3844, 8401, 1062, 1282, 1480, 2230, 325, 2775, 13485, 547, 9370, 269, 808, 269, 11671, 31850, 2723, 269, 476, 11277, 267, 476, 10711, 278, 1700, 18684, 274, 269, 8222, 281, 476, 1015, 269, 12893, 273, 10768, 333, 269, 21916, 10602, 269, 1001, 280, 454, 5141, 2946, 618, 267, 717, 1421, 7200, 516, 10098, 267, 715, 1421, 590, 748, 320, 267, 667, 1421, 543, 2098, 663, 341, 331, 2884, 267, 589, 269, 630, 1001, 277, 1040, 32185, 540, 19838, 12510, 878, 3845, 1282, 14965, 2242, 538, 1612, 20326, 8184, 269, 12813, 24382, 2290, 476, 1556, 281, 324, 27888, 280, 5655, 273, 269, 8222, 281, 476, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 27888, 280, 5655, 273, 454, 5719, 6742, 3626, 267, 661, 1421, 6428, 14137, 328, 267, 590, 269, 661, 1421, 32095, 2471, 267, 623, 269, 654, 1421, 670, 1938, 267, 808, 1421, 14811, 25669, 267, 918, 1421, 13891, 2224, 267, 667, 1421, 1696, 620, 269, 630, 1708, 272, 1040, 3955, 18283, 550, 2110, 268, 1301, 25916, 566, 568, 513, 13148, 2500, 4831, 1889, 5501, 1996, 20005, 3666, 1033, 3266, 2747, 1739, 476, 2568, 6377, 2212, 16365, 28550, 5127, 1964, 269, 808, 269, 10331, 269, 4284, 269, 476, 14530, 267, 476, 6924, 280, 1700, 3583, 272, 269, 8222, 281, 476, 1015, 269, 12893, 273, 10768, 1952, 331, 31850, 2723, 269, 9826, 3199, 269, 1708, 272, 454, 12626, 267, 918, 269, 700, 1421, 25204, 6199, 267, 808, 269, 808, 1421, 25109, 822, 4673, 267, 589, 269, 623, 1421, 543, 1773, 719, 345, 4149, 5500, 1457, 267, 700, 269, 700, 269, 630, 1001, 280, 1040, 11644, 4831, 1889, 9778, 547, 29648, 31100, 632, 935, 1288, 532, 538, 2230, 325, 2775, 269, 1290, 1440, 269, 4284, 2723, 269, 476, 1015, 267, 476, 14378, 1700, 3422, 269, 8222, 281, 476, 1015, 269, 1911, 273, 11305, 19148, 6983, 5002, 22650, 454, 12626, 267, 918, 269, 700, 1421, 667, 12495, 267, 631, 1421, 3619, 21255, 3780, 267, 661, 1421, 11370, 868, 517, 267, 681, 269, 661, 1421, 27550, 1457, 267, 808, 269, 654, 1421, 1773, 719, 345, 4149, 5500, 1457, 267, 681, 269, 808, 1421, 1696, 620, 269, 630, 1708, 271, 1040, 4400, 8515, 2866, 1282, 2230, 325, 2775, 281, 2164, 689, 519, 8331, 590, 2745, 5530, 269, 26128, 297, 5843, 6588, 6143, 476, 277, 281, 2641, 563, 293, 21884, 267, 570, 1421, 5682, 267, 667, 269, 589, 1421, 25109, 1457, 267, 661, 1421, 715, 641, 701, 267, 589, 1421, 1488, 345, 267, 631, 1421, 623, 755, 578, 531, 578, 267, 654, 1421, 1696, 620, 269, 630, 1708, 271, 1040, 570, 11217, 1464, 540, 3232, 26740, 610, 6024, 2110, 268, 1301, 25916, 566, 1282, 476, 2568, 6377, 476, 277, 334, 2212, 1524, 5127, 1964, 630, 8980, 16576, 2464, 288, 1353, 1040, 12813, 24382, 2290, 476, 1428, 281, 324, 271, 2537, 280, 2420, 279, 269, 8222, 281, 476, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 271, 2537, 280, 2420, 279, 454, 294, 19128, 1777, 5174, 752, 601, 2006, 267, 674, 269, 661, 1421, 667, 1513, 6062, 267, 631, 1421, 5682, 267, 590, 269, 808, 1421, 717, 584, 267, 681, 269, 595, 1421, 6931, 267, 700, 1421, 5839, 5362, 267, 645, 269, 681, 1421, 1696, 620, 269, 630, 1001, 280, 1040, 634, 8331, 21054, 1353, 281, 513, 17326, 7645, 2079, 540, 513, 1032, 17489, 1480, 2230, 325, 2775, 269, 3163, 476, 3607, 275, 281, 20660, 879, 279, 4792, 271, 563, 295, 718, 326, 1066, 267, 661, 1421, 918, 1941, 559, 13960, 267, 700, 1421, 2605, 753, 523, 267, 661, 1421, 717, 1663, 16223, 16554, 267, 667, 1421, 18703, 267, 590, 269, 570, 1421, 1849, 2946, 618, 267, 717, 1421, 1696, 620, 269, 630, 1001, 277, 1040, 28206, 1078, 17333, 14663, 24975, 22514, 24212, 3210, 538, 476, 1839, 20691, 13251, 676, 1279, 1673, 4851, 2230, 325, 2775, 269, 808, 269, 11671, 31850, 2723, 269, 476, 12893, 267, 476, 19054, 276, 1700, 25134, 272, 269, 8222, 281, 476, 1015, 269, 12893, 273, 10768, 333, 269, 1822, 4792, 269, 1001, 277, 454, 295, 1575, 26709, 267, 918, 269, 661, 1421, 17755, 2958, 528, 267, 670, 269, 681, 1421, 918, 31463, 601, 332, 753, 267, 966, 1421, 25028, 3757, 267, 715, 269, 661, 1421, 918, 1993, 2006, 267, 594, 269, 590, 1421, 1546, 667, 3930, 267, 962, 269, 661, 1421, 1696, 620, 269, 630, 1708, 272, 1040, 11020, 543, 8965, 2963, 585, 556, 7076, 532, 540, 22514, 24212, 11378, 609, 1279, 1673, 4851, 2230, 325, 2775, 269, 24583, 321, 269, 23634, 1410, 536, 4725, 26839, 269, 8222, 281, 476, 1015, 269, 11820, 274, 270, 1356, 14585, 11486, 4725, 26839, 1496, 22977, 889, 6619, 540, 1820, 14073, 295, 1575, 26709, 267, 918, 269, 661, 1421, 17755, 2958, 528, 267, 670, 269, 681, 1421, 10557, 267, 808, 269, 918, 1421, 25028, 3757, 267, 715, 269, 661, 1421, 918, 1993, 2006, 267, 594, 269, 590, 1421, 1546, 667, 3930, 267, 962, 269, 661, 1421, 1696, 620, 269, 630, 1708, 271, 320, 1040, 634, 1764, 540, 476, 277, 543, 476, 1321, 3275, 538, 2230, 593, 1480, 2634, 2497, 543, 703, 2350, 31424, 5714, 10593, 269, 24583, 321, 269, 23634, 1410, 4004, 269, 476, 272, 281, 339, 8615, 320, 271, 2537, 563, 295, 1575, 26709, 267, 918, 269, 661, 1421, 17755, 2958, 528, 267, 670, 269, 681, 1421, 1234, 17458, 6441, 648, 333, 345, 267, 623, 269, 589, 1421, 543, 1530, 573, 2401, 267, 681, 269, 667, 269, 630, 1708, 271, 321, 1040, 5843, 6588, 6143, 2360, 593, 519, 1480, 2634, 543, 2623, 281, 14524, 543, 13261, 29010, 269, 11671, 338, 857, 269, 4437, 12786, 6409 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1422, 322, 924, 346, 293, 6064, 1960, 277, 20467, 1358, 4362, 602, 1896, 4573, 1218, 17820, 6825, 569, 4389, 2238, 3379, 547, 3552, 6943, 533, 7871, 950, 7318, 1996, 13618, 533, 7871, 3210, 2609, 269, 12830, 569, 267, 789, 4857, 1808, 13592, 4929, 2347, 705, 5766, 566, 540, 6223, 10474, 4390, 267, 11021, 602, 930, 533, 7871, 4573, 1218, 957, 607, 8789, 2258, 2510, 676, 3524, 6856, 532, 1071, 2399, 832, 2556, 585, 3339, 533, 7871, 1599, 780, 277, 269, 273, 269, 274, 27148, 540, 4427, 14978, 10871, 1436, 18963, 454, 2704, 614, 725, 538, 1016, 14978, 31338, 3270, 2099, 1776, 1455, 7271, 998, 799, 13592, 7519, 3940, 1599, 269, 12071, 2803, 12412, 22794, 3091, 606, 5140, 2645, 564, 547, 4983, 891, 3344, 11617, 269, 3115, 7163, 21437, 17683, 535, 16272, 1063, 24638, 5946, 630, 324, 3052, 1421, 717, 17025, 267, 962, 17025, 267, 16674, 303, 264, 543, 2901, 3552, 6943, 610, 30354, 533, 7871, 7520, 9477, 540, 3940, 31338, 6384, 1369, 2713, 2281, 1422, 322, 924, 346, 312, 836, 1001, 272, 20467, 5047, 267, 1476, 5914, 22794, 6087, 21800, 5464, 540, 2789, 9072, 267, 3850, 6268, 540, 1761, 897, 5914, 1436, 2621, 22566, 540, 6198, 5872, 11444, 22314, 2390, 4367, 540, 1808, 13592, 780, 7078, 281, 1323, 17715, 17431, 540, 7311, 1016, 14978, 31338, 2079, 2501, 689, 519, 960, 540, 2473, 542, 326, 1696, 620, 1421, 945, 8947, 519, 2623, 540, 533, 7871, 4573, 1218, 26582, 538, 9149, 6363, 571, 18210, 328, 6794, 267, 513, 22420, 4524, 19753, 19397, 4299, 2043, 547, 3309, 3029, 540, 2038, 268, 976, 564, 11871, 1422, 322, 924, 346, 311, 542, 326, 1001, 273, 20467, 4256, 2164, 4951, 11495, 3765, 29985, 1436, 3270, 585, 1896, 4573, 1218, 1107, 16113, 267, 11118, 32194, 13250, 2864, 982, 12600, 6046, 15335, 4767, 609, 3552, 6943, 533, 7871, 269, 4329, 13753, 20114, 3209, 5107, 5129, 676, 891, 4573, 1218, 538, 1110, 6819, 519, 2534, 540, 1585, 15202, 22107, 3547, 5665, 3544, 519, 13540, 267, 3976, 7700, 547, 15910, 14003, 780, 277, 269, 273, 269, 275, 16214, 540, 19871, 853, 1464, 543, 21009, 21509, 454, 300, 20706, 666, 849, 1860, 3940, 6617, 543, 24826, 3928, 267, 28955, 607, 12012, 3368, 3734, 2418, 543, 18687, 547, 12159, 12227, 269, 17240, 572, 29677, 21458, 5916, 609, 11050, 2527, 26563, 4479, 4564, 513, 3532, 4640, 547, 2268, 3940, 737, 27282, 8308, 1422, 322, 924, 346, 289, 1180, 13873, 14150, 1001, 274, 20467, 2991, 17861, 908, 2281, 11589, 3552, 6943, 610, 30354, 533, 7871, 609, 14599, 8715, 542, 710, 543, 2166, 4614, 710, 630, 1492, 865, 10777, 13942, 5123, 1070, 7766, 8851, 540, 4430, 2234, 2723, 8475, 539, 11254, 7408, 4384, 919, 519, 29677, 1974, 269, 6341, 7204, 620, 1172, 1824, 936, 942, 2636, 8990, 540, 6967, 5925, 13808, 2404, 609, 533, 7871, 2249, 267, 3246, 5813, 883, 741, 9757, 588, 3809, 269, 5015, 267, 32485, 1808, 3334, 540, 519, 21866, 1588, 3491, 974, 553, 727, 1062, 3743, 585, 6098, 3940, 17594, 2337, 20559, 2436, 2799, 24826, 8309, 547, 16132, 780, 7078, 281, 16792, 13942, 29677, 21458, 16097, 267, 2983, 344, 514, 345, 2993, 1696, 620, 269, 8268, 519, 4539, 540, 2185, 15768, 570, 303, 7871, 13592, 1336, 538, 6089, 2860, 2550, 1422, 322, 924, 346, 294, 5674, 514, 345, 2993, 1001, 277, 20467, 25408, 267, 789, 9571, 8101, 20214, 538, 3368, 3734, 2418, 585, 782, 7318, 14726, 3379, 547, 3552, 6943, 533, 7871, 267, 10834, 8476, 13438, 547, 2926, 553, 10095, 12159, 269, 21452, 267, 14278, 1670, 6304, 6322, 693, 17527, 2926, 553, 727, 2534, 13148, 11324, 4240, 519, 6617, 540, 5697, 4573, 1218, 267, 10223, 1761, 9354, 3255, 1759, 593, 11808, 540, 19847, 533, 7871, 1599, 780, 6962, 454, 1607, 3184, 814, 3177, 606, 7650, 540, 8047, 6901, 6964, 547, 1449, 19165, 1644, 547, 6198, 12889, 538, 1591, 543, 7636, 7350, 267, 2519, 5097, 593, 519, 18840, 20200, 531, 10510, 16401, 528, 3940, 533, 7871, 269, 3414, 11826, 6514, 540, 7293, 10305, 267, 538, 20117, 6198, 10526, 267, 1016, 14978, 3892, 3270, 267, 543, 3940, 737, 27282, 267, 3173, 2744, 1898, 1620, 540, 519, 2964, 2065, 29298, 18913, 4719, 15087, 269, 6270, 1344, 711, 1152, 8441, 4909, 3621, 1702, 855, 849, 28279, 6037, 1049, 3646, 28110, 4724, 3384, 5499, 2994, 547, 8396, 3676, 5532, 547, 29840, 532, 10408, 12227, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 7072, 547, 12524, 3194, 538, 8426, 543, 17449, 10334, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 547, 12524, 3194, 538, 8426, 543, 17449, 10334, 2580, 834, 273, 269, 17449, 4485, 547, 21656, 10510, 23938, 13592, 2580, 834, 274, 269, 10020, 540, 533, 7871, 607, 26851, 540, 519, 32081, 2580, 834, 275, 269, 17449, 14839, 3292, 2580, 834, 276, 269, 2667, 11691, 30354, 533, 7871, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 277, 269, 17449, 3137, 585, 6198, 12889, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 277, 269, 272, 269, 3117, 573, 3130, 540, 513, 3126, 540, 7636, 3137, 585, 519, 6198, 12889, 540, 519, 533, 7871, 30354, 1373, 6594, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 277, 269, 273, 269, 6997, 6901, 547, 1449, 19165, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 763, 1543, 1058, 2832, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 538, 519, 1888, 269, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 269, 0, 594, 2760, 2219, 594, 1131, 2479, 3643, 3624, 267, 855, 950, 1250, 11078, 5143, 803, 1352, 729, 3478, 9310, 547, 1200, 4457, 535, 1014, 322, 2946, 267, 594, 6785, 594, 1185, 547, 7390, 741, 16806, 538, 30715, 345, 1156, 269, 1306, 606, 28048, 2951, 518, 267, 594, 4941, 547, 1118, 2386, 594, 4810, 782, 519, 2199, 9821, 543, 5389, 1282, 1250, 3251, 269, 1924, 267, 594, 3576, 547, 2228, 15473, 547, 1265, 856, 1018, 2186, 540, 2189, 2686, 2833, 941, 2139, 538, 30715, 345, 1156, 780, 3080, 3593, 6700, 9683, 834, 20360, 578, 540, 519, 2622, 2437, 799, 32131, 4277, 2614, 910, 621, 12286, 20538, 8747, 540, 11599, 3889, 899, 519, 661, 858, 601, 18975, 543, 29069, 10067, 531, 269, 898, 8604, 899, 513, 1390, 1259, 547, 1294, 519, 1158, 1510, 6028, 835, 2749, 256, 6271, 16252, 729, 667, 2378, 523, 13813, 27006, 22810, 267, 1141, 596, 1223, 7198, 2199, 29048, 2870, 10875, 25704, 1318, 1354, 707, 4064, 269, 1656, 875, 1223, 594, 7340, 827, 18656, 3101, 538, 8949, 22616, 2158, 324, 8265, 1426, 267, 1945, 594, 7948, 1405, 4413, 1247, 3695, 519, 7524, 10754, 540, 30715, 345, 1156, 780, 7069, 5172, 19583, 267, 1498, 267, 3357, 689, 1776, 8468, 4759, 3957, 15039, 269, 2701, 5018, 11504, 513, 2757, 4457, 22968, 2773, 693, 715, 753, 7315, 20989, 269, 3733, 2295, 2220, 8215, 609, 10761, 282, 7487, 513, 2661, 1397, 14869, 539, 538, 5553, 6040, 2245, 5433, 11212, 2027, 269, 9741, 1705, 594, 917, 1175, 875, 26374, 713, 1995, 1131, 1831, 780, 2026, 4166, 607, 594, 8452, 693, 519, 14364, 267, 594, 8068, 513, 1762, 8004, 9361, 1985, 547, 803, 269, 4173, 2647, 4064, 10630, 519, 3942, 8279, 267, 543, 649, 22121, 1159, 3796, 2429, 519, 10543, 269, 4438, 954, 3939, 267, 1352, 13351, 909, 513, 6643, 609, 803, 267, 8049, 827, 1946, 594, 8359, 547, 4585, 606, 3504, 1148, 1106, 14542, 547, 1034, 5375, 619, 269, 1284, 14437, 6612, 2299, 827, 938, 2648, 585, 2575, 543, 7544, 267, 543, 594, 4362, 1352, 3838, 1250, 25505, 585, 2413, 29478, 269, 6969, 649, 6785, 621, 267, 1225, 1555, 1289, 14059, 267, 15202, 519, 1439, 540, 938, 17175, 7237, 269, 1809, 12556, 1185, 824, 4566, 780, 4263, 12129, 2663, 602, 3781, 267, 594, 10443, 883, 519, 1482, 2370, 8004, 1586, 1107, 4849, 1631, 267, 1352, 7012, 1405, 4805, 269, 6452, 558, 11952, 532, 1200, 729, 9039, 824, 982, 1200, 22516, 267, 513, 12021, 623, 22701, 28709, 1685, 518, 256, 1261, 1178, 19290, 14376, 803, 1394, 560, 720, 1310, 1010, 2773, 267, 3850, 803, 1569, 547, 7747, 31667, 1023, 543, 1451, 811, 827, 519, 6946, 3877, 3297, 1142, 23972, 543, 11132, 4082, 269, 901, 791, 668, 696, 340, 5870, 9927, 1250, 7552, 689, 3274, 11287, 4914, 4529, 547, 8362, 10283, 538, 873, 780, 288, 3018, 5293, 3533, 267, 4904, 609, 20605, 8823, 543, 1007, 17052, 269, 2201, 1250, 2063, 1554, 267, 519, 1920, 4843, 803, 609, 513, 1688, 8154, 539, 10178, 13556, 676, 519, 6264, 11985, 5128, 269, 2060, 17229, 538, 1250, 4064, 267, 594, 9684, 539, 1864, 1527, 2224, 569, 585, 6679, 1010, 1158, 547, 803, 269, 3776, 5618, 7237, 18056, 803, 540, 519, 5898, 540, 10707, 910, 711, 1152, 798, 649, 3605, 30152, 3338, 267, 855, 3006, 789, 7866, 2933, 547, 721, 1932, 780, 3383, 952, 4896, 12134, 2436, 972, 616, 2189, 2686, 2833, 4502, 2348, 538, 30715, 345, 1156, 267, 2995, 873, 9811, 267, 11613, 269, 3245, 14952, 532, 693, 2518, 24069, 693, 32001, 540, 519, 2622, 547, 7680, 20250, 519, 9059, 540, 4457, 22968, 267, 891, 8090, 786, 11014, 2611, 31960, 538, 707, 3965, 269, 5808, 6487, 267, 6148, 596, 3513, 1256, 588, 18443, 2390, 513, 2899, 2987, 8584, 2000, 604, 8135, 4316, 899, 9553, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 2108, 6701, 972, 1022, 2189, 2686, 2833, 602, 14666, 666, 7119, 538, 1247, 9683, 30715, 345, 1156, 888, 296, 1810, 1405, 723, 2123, 2833, 610, 24221, 269, 2705, 267, 1934, 616, 930, 2442, 2686, 2833, 602, 14666, 666, 7119, 538, 1247, 9683, 521, 1156, 345, 1156, 1384, 272, 269, 9683, 519, 6885, 540, 519, 1158, 281, 713, 6249, 6288, 2934, 18187, 553, 540, 4583, 21056, 689, 1472, 519, 1158, 267, 971, 607, 519, 552, 858, 601, 13486, 543, 519, 512, 1690, 30652, 531, 780, 273, 269, 9683, 546, 2378, 523, 3282, 7206, 8498, 281, 713, 8498, 568, 1634, 585, 922, 1804, 2146, 540, 5159, 945, 1711, 543, 6133, 3282, 10367, 780, 274, 269, 11504, 513, 24349, 22968, 281, 521, 1156, 345, 1156, 814, 513, 1906, 519, 11596, 602, 3984, 2757, 24349, 22968, 12644, 780, 275, 269, 9683, 519, 521, 1156, 345, 1156, 9754, 281, 713, 9754, 20502, 519, 1686, 543, 2528, 540, 521, 1156, 345, 1156, 267, 1519, 15225, 593, 922, 1646, 543, 6639, 7760, 780, 276, 269, 3843, 8265, 1426, 281, 521, 1156, 345, 1156, 568, 1634, 585, 922, 3309, 8265, 1426, 267, 609, 1082, 21527, 9513, 8286, 6766, 676, 18085, 2158, 324, 267, 688, 330, 6390, 267, 543, 512, 2967, 9774, 3150, 32345, 780, 277, 269, 2535, 11294, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 16515, 819, 3171, 525, 281, 634, 11038, 7982, 14752, 540, 14451, 4065, 692, 296, 269, 4985, 692, 2026, 519, 1942, 540, 2362, 2069, 5170, 547, 4473, 267, 5883, 24875, 12375, 814, 1831, 513, 2565, 2460, 540, 4180, 10333, 543, 26622, 585, 1053, 269, 901, 3184, 12538, 883, 519, 14960, 540, 24875, 13927, 2359, 1369, 519, 2796, 540, 4702, 2069, 538, 5238, 971, 607, 1346, 1336, 538, 3345, 10491, 269, 1284, 786, 2263, 519, 10848, 3238, 538, 4259, 24875, 3928, 267, 2883, 5351, 15004, 267, 543, 22343, 2994, 1247, 6236, 519, 6626, 14227, 6286, 269, 1635, 6313, 891, 3584, 998, 513, 13857, 7828, 267, 649, 2832, 547, 16491, 2104, 8030, 609, 519, 1702, 2838, 547, 6330, 741, 1378, 3872, 15322, 543, 3565, 9797, 547, 5571, 5717, 4478, 519, 14104, 540, 2362, 2069, 780, 2862, 269, 17553, 16515, 819, 26162, 692, 288, 269, 8466, 21887, 692, 30399, 267, 1857, 9945, 16941, 8185, 593, 2229, 7616, 547, 3382, 10512, 3790 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 5502, 267, 649, 786, 3274, 946, 519, 2199, 4859, 593, 1142, 540, 519, 3038, 1707, 532, 2533, 13763, 269, 634, 13763, 786, 581, 27358, 609, 476, 273, 838, 785, 956, 538, 513, 17241, 2839, 476, 272, 12122, 269, 4024, 713, 581, 2614, 594, 302, 4916, 630, 933, 782, 917, 875, 1454, 649, 2648, 547, 2911, 594, 302, 4916, 25145, 268, 3689, 267, 519, 3038, 1707, 532, 2533, 13763, 786, 8415, 1082, 811, 1224, 4238, 538, 6476, 547, 11339, 630, 8145, 1897, 649, 616, 3274, 2542, 7161, 540, 519, 642, 291, 7416, 267, 3976, 519, 2362, 1224, 4238, 994, 268, 5822, 267, 649, 786, 2569, 519, 2949, 594, 302, 4916, 4170, 585, 519, 3038, 1707, 532, 2533, 7746, 676, 9001, 1062, 21461, 269, 5221, 649, 616, 1210, 8837, 18218, 476, 1220, 279, 630, 663, 811, 11932, 476, 5038, 4226, 1070, 649, 666, 723, 513, 1804, 1062, 21461, 269, 901, 2636, 721, 547, 1832, 1082, 811, 7161, 540, 519, 642, 291, 7416, 538, 3965, 267, 3976, 4227, 519, 991, 547, 979, 547, 12210, 585, 1224, 13668, 563, 6546, 568, 1152, 513, 6712, 540, 519, 3038, 1707, 532, 7896, 1374, 269, 1403, 596, 1616, 547, 917, 811, 596, 666, 454, 268, 5192, 519, 3043, 1957, 269, 898, 568, 538, 519, 2473, 523, 5327, 330, 9008, 5071, 18361, 538, 519, 4704, 6189, 3296, 454, 268, 29934, 519, 14232, 15306, 307, 1779, 454, 25405, 1408, 1107, 8048, 11629, 454, 3080, 813, 267, 1079, 8924, 563, 16446, 813, 267, 9791, 813, 563, 24874, 813, 267, 1007, 813, 563, 1432, 513, 2603, 540, 8924, 972, 616, 630, 17780, 593, 519, 3312, 676, 3220, 269, 1530, 1380, 994, 763, 11432, 568, 2407, 540, 8924, 269, 1656, 865, 568, 707, 3919, 269, 1656, 596, 616, 4440, 711, 1256, 3222, 540, 476, 2004, 260, 540, 707, 3156, 269, 1215, 1281, 713, 9305, 547, 18376, 5691, 1436, 286, 4270, 267, 1082, 1004, 3111, 538, 741, 18376, 5691, 1436, 18129, 1317, 789, 798, 711, 2015, 3498, 5691, 1436, 267, 799, 568, 519, 476, 279, 628, 1455, 12161, 1500, 950, 11766, 532, 5691, 11380, 339, 3591, 4553, 676, 912, 1015, 269, 3502, 12719, 3593, 19961, 4170, 454, 280, 269, 3502, 6236, 519, 3593, 9043, 454, 25594, 2542, 19768, 540, 13335, 14044, 1436, 15613, 454, 2414, 12440, 610, 711, 547, 12440, 267, 602, 729, 519, 2243, 585, 519, 13235, 3427, 10588, 269, 1280, 1346, 540, 596, 602, 1224, 998, 519, 13235, 3427, 10588, 4704, 1374, 8068, 602, 519, 1604, 729, 1759, 593, 9786, 15214, 13305, 269, 1656, 711, 1152, 602, 267, 621, 15538, 540, 1079, 3982, 1895, 902, 912, 268, 14044, 2677, 19241, 3591, 454, 3963, 519, 1079, 1895, 902, 286, 5221, 649, 2154, 1114, 2157, 540, 8244, 585, 519, 5691, 6191, 269, 3245, 519, 1153, 8664, 779, 5133, 267, 513, 18376, 568, 711, 513, 7746, 267, 621, 568, 513, 18376, 269, 2334, 1797, 11380, 339, 3591, 798, 711, 2154, 519, 1482, 1377, 540, 1164, 268, 822, 22355, 607, 7746, 24913, 338, 269, 634, 24486, 1895, 568, 7265, 1229, 267, 2495, 602, 519, 5691, 13763, 616, 2565, 543, 666, 581, 2661, 28953, 547, 1776, 15214, 13305, 7746, 952, 2877, 269, 634, 14044, 2677, 19241, 3591, 1895, 568, 711, 7265, 1229, 269, 1635, 24590, 519, 3334, 909, 883, 1079, 1114, 15214, 13305, 1895, 902, 267, 649, 666, 1732, 5447, 519, 2930, 10342, 609, 519, 1870, 4170, 269, 15566, 2542, 15214, 13305, 543, 2473, 523, 5327, 330, 9008, 1107, 1548, 519, 3427, 5463, 3660, 454, 5629, 2390, 513, 942, 267, 972, 729, 513, 2370, 1153, 630, 3583, 267, 1822, 3755, 264, 609, 513, 2370, 1966, 630, 9188, 19241, 3591, 936, 476, 276, 1296, 2025, 264, 609, 513, 2370, 2856, 269, 634, 1153, 729, 3843, 547, 1265, 513, 1259, 547, 1118, 519, 3454, 2724, 979, 2417, 269, 634, 21777, 11380, 339, 3591, 941, 476, 276, 1296, 2025, 609, 1082, 811, 16042, 476, 1015, 1296, 269, 13689, 593, 519, 1153, 1369, 519, 8664, 5921, 1114, 1439, 9557, 267, 1114, 3156, 543, 1256, 1114, 2298, 269, 2060, 865, 1082, 1053, 2348, 1753, 7193, 338, 267, 519, 1153, 729, 849, 5461, 538, 3850, 891, 1053, 547, 960, 609, 741, 3156, 1247, 711, 693, 1153, 563, 763, 1153, 4956, 547, 2119, 1945, 1007, 2507, 18376, 5691, 1436, 563, 3719, 952, 596, 1185, 547, 1711, 513, 18376, 5691, 1436, 1374, 585, 513, 1153, 610, 707, 3919, 267, 875, 1131, 596, 2253, 286, 1548, 1131, 596, 1445, 593, 286, 1548, 798, 596, 1589, 616, 519, 1034, 1271, 1374, 3334, 286, 2334, 568, 1018, 649, 786, 1445, 593, 1282, 513, 9105, 519, 11629, 15306, 307, 1779, 593, 4873, 476, 1240, 628, 693, 476, 272, 15014, 8109, 942, 269, 3502, 1152, 786, 649, 1445, 593, 519, 1728, 701, 6665, 528, 267, 799, 568, 9786, 15214, 13305, 267, 649, 786, 849, 1445, 593, 519, 1614, 13022, 3700, 21253, 290, 770, 3631, 1031, 267, 519, 3239, 6765, 3070, 267, 3156, 5610, 543, 875, 519, 2473, 523, 5327, 330, 9008, 3484, 568, 2966, 563, 2467, 786, 581, 1082, 4277, 2798, 2429, 519, 15306, 307, 1779, 1519, 713, 835, 281, 15566, 2542, 634, 14044, 3427, 1772, 769, 29140, 267, 7490, 6875, 707, 1530, 1846, 454, 15812, 30805, 1767, 968, 2691, 14220, 1293, 547, 2185, 269, 1879, 1360, 14220, 267, 2220, 792, 6100, 10251, 267, 594, 4076, 4862, 1082, 3755, 2220, 792, 269, 898, 568, 5863, 875, 835, 2370, 2962, 666, 2014, 865, 1454, 10845, 2509, 519, 8668, 3919, 610, 3142, 513, 1007, 1788, 547, 922, 19704, 269, 6875, 519, 1739, 267, 1483, 1158, 9183, 267, 607, 606, 1383, 912, 2304, 3919, 1185, 513, 9043, 4640, 538, 1747, 269, 20305, 3323, 2324, 538, 519, 1007, 1062, 269, 2290, 1554, 267, 513, 3593, 1185, 513, 9043, 13313, 3390, 269, 1677, 4194, 519, 3390, 267, 519, 9043, 729, 25216, 269, 901, 5921, 519, 3593, 1185, 547, 30712, 741, 3003, 10531, 1604, 269, 2991, 519, 9043, 729, 25216, 267, 519, 3593, 3533, 8068, 782, 540, 741, 6054, 941, 25216, 269, 16270, 6251, 14791, 267, 519, 3593, 6740, 741, 6054, 538, 519, 968, 7069, 26671, 892, 17835, 269, 1879, 519, 9043, 729, 25216, 267, 519, 3733, 26671, 17835, 729, 849, 25216, 269, 2052, 596, 2161, 1635, 324, 1635, 324, 1239, 286, 1635, 324, 1635, 324, 476, 274, 4374, 4502, 540, 960, 563, 8253, 18617, 602, 12632, 616, 1271, 267, 1287, 1577, 803, 2285, 596, 1776, 1383, 630, 2791, 666, 1406, 1118, 713, 8631, 909, 2187, 2304, 3919, 729, 4881, 513, 18799, 966, 300, 2861, 966, 14888, 18376, 3070, 585, 513, 1906, 3275, 543, 4956, 519, 9043, 3070, 2838, 12381, 269, 16270, 519, 10311, 267, 1169, 3593, 4503, 782, 540, 741, 2123, 1436, 19383, 269, 12971, 302, 302, 302, 302, 454, 763, 3593, 779, 9043, 568, 835, 540, 519, 2101, 2081, 519, 7535, 539, 5691, 18376, 3587, 10531, 269, 1280, 326, 582, 827, 5691, 11380, 339, 3591, 585, 513, 4090, 269, 634, 3593, 9043, 568, 1271, 585, 2757, 11380, 339, 3591, 269, 15566, 2542, 3733, 5691, 18376, 9043, 568, 1271, 454, 3080, 540, 519, 1292, 3853, 609, 18376, 5691, 1436, 568, 547, 2569, 519, 1297, 540, 2838, 18376, 2592, 269, 634, 7864, 1297, 540, 2592, 267, 519, 4443, 621, 568, 547, 1489, 543, 2226, 519, 18376, 1604, 267, 799, 2306, 18376, 5691, 1436, 865, 9621, 950, 3379, 547, 519, 2757, 18376, 1935, 269, 634, 3804, 568, 513, 2582, 3239, 267, 855, 540, 339, 550, 1307, 267, 824, 2188, 1404, 513, 1909, 538, 5594, 2810, 602, 1297, 269, 6875, 267, 585, 3236, 267, 519, 13235, 3427, 10588, 563, 763, 1374, 1572, 585, 476, 276, 1114, 18376, 2592, 267, 607, 3254, 538, 519, 4137, 563, 25594, 2542, 1215, 1082, 18376, 2592, 798, 594, 2731, 991, 888, 2710, 596, 2479, 4898, 875, 1454, 19961, 596, 991, 547, 798, 513, 18376, 5691, 1436, 6388, 286, 17859, 540, 519, 8137, 540, 5691, 18376, 1373, 8045, 630, 10676, 539, 3838, 267, 18799, 966, 300, 2861, 966, 14888, 267, 2199, 1792, 3139, 267, 3092, 1070, 519, 3060, 4249, 513, 2565, 1909, 269, 2334, 1058, 711, 581, 9670, 630, 604, 621, 568, 267, 649, 991, 547, 723, 606, 1256, 8273, 4901, 1040, 1403, 596, 1810, 1406, 1544, 707, 3060, 19961, 14013, 267, 596, 786, 723, 29043, 3755, 267, 945, 786, 1118, 596, 29043, 563, 2026, 649, 1131, 2503, 267, 519, 3593, 1995, 9714, 525, 607, 519, 26125, 4679, 543, 519, 19961, 11081, 269, 7743, 3060, 4058, 1590, 581, 1759, 593, 519, 1826, 540, 960, 3755, 616, 7900, 543, 519, 2949, 3060, 23289, 269, 7982, 538, 519, 2473, 523, 7343, 26209, 2395, 267, 1082, 1004, 1031, 476, 736, 737, 321, 1186, 607, 606, 7447, 585, 3060, 19961, 4170, 269, 2052, 649, 946, 602, 585, 5691, 11380, 339, 3591, 286, 12971, 630, 24392, 594, 1223, 19022, 2473, 523, 5327, 330, 9008, 547, 1152, 946, 476, 736, 737, 321, 1186, 1916, 25594, 2542, 1215, 13518, 17020, 12296, 1684, 594, 10261, 585, 3733, 14044, 30325, 9008, 0, 305, 9820, 19587, 590, 27942, 18218, 476, 1001, 273, 6201, 454, 984, 16227, 267, 9786, 11021, 721, 547, 1376, 1210, 8946, 4629, 310, 3948, 3079, 540, 17241, 3041, 2207, 305, 3036, 269, 5903, 532, 476, 272, 2982, 519, 570, 4149, 10258, 7097, 594, 1031, 547, 1711, 519, 7831, 17413, 306, 2297, 3349, 269, 476, 11277, 27174, 4281, 280, 6200, 12208, 14530, 25870, 14065, 278, 1240, 2475, 292, 23874, 17582, 1001, 273, 282, 32271, 9281, 28267, 297, 17614, 318, 2839, 3488, 8310, 17413, 306, 2297, 3299, 1412, 308, 10807, 4959, 10691, 715, 8085, 17162, 4629, 303, 570, 21764, 7831, 17413, 306, 2297, 282, 294, 5308, 292, 22268, 19968, 22209, 640, 2839, 6789, 19833, 31094, 2839, 267, 5575, 11243, 1341, 1412, 1412, 1341, 7831, 11243, 6789, 22490, 4610, 616, 6825, 2608, 4467, 618, 8745, 2608, 19478, 2608, 19534, 3502, 1518, 803, 540, 1246, 5346, 8292, 676, 4757, 269, 29799, 519, 1401, 12371, 24606, 1403, 649, 723, 2907, 1305, 519, 5048, 585, 930, 5470, 7329, 543, 649, 1616, 547, 5372, 519, 5048, 267, 621, 786, 12235, 606, 5470, 607, 5205, 281, 1411, 1590, 5291, 2517, 329, 7897, 331, 2246, 1676, 14492, 4882, 27942, 1606, 13996, 270, 571, 16014, 2928, 2987, 1606, 27942, 1606, 13996, 268, 1001, 273, 11258, 454, 2690, 1383, 267, 1589, 827, 875, 596, 1522, 2328, 3009, 547, 960, 609, 513, 1297, 540, 1587, 9517, 338, 267, 29858, 27366, 267, 538, 513, 8520, 269, 20212, 2507, 966, 1105, 541, 5288, 715, 309, 1105, 541, 966, 1105, 541, 5288, 966, 1105, 541, 263, 7246, 311, 264, 4077, 5288, 966, 1105, 541, 7956, 5288, 966, 1105, 541, 263, 16655, 264, 5742, 5288, 5742, 2353, 11261, 11742, 5288, 11261, 11742, 273, 590, 4953, 19532, 5588, 3633, 318, 2839, 28718, 293, 296, 2207, 10396, 5288, 590, 4953, 19532, 5588, 3633, 318, 2839, 28718, 293, 296, 2207, 5508, 293, 853, 1819, 26488, 5288, 14871, 594, 3622, 946, 513, 1871, 540, 476, 272, 585, 1533, 950, 9870, 2688, 17756, 269, 901, 666, 2097, 538, 13561, 267, 2523, 950, 2324, 609, 12747, 3009, 267, 971, 607, 570, 4149, 10258, 4881, 538, 14069, 18218, 32652, 6009, 269, 4179, 2517, 916, 323, 333, 6230, 2222, 7809, 2593, 19841, 268, 639, 15828, 3869, 270, 916, 9965, 30020, 269, 5684, 343, 454, 1103, 3069, 267, 891, 2418, 1058, 14626, 728, 269, 634, 774, 992, 3948, 4667, 1360, 2147, 547, 5124, 779, 6318, 3948, 602, 666, 581, 1031, 1510, 4164, 11596, 547, 6318, 606, 5470, 602, 729, 9575, 610, 1031, 609, 4164, 11596, 547, 22393, 5352, 606, 570, 11548, 16193, 281, 3849, 600, 7557, 23307, 267, 17241, 3041, 2207, 305, 3036, 267, 14069, 6959, 267, 14069, 17756, 267, 570, 4149, 10258, 267, 2473, 16898, 318, 5723, 18306, 15019, 24762, 8005, 13201, 22084, 344, 28567, 286, 1635, 9870, 606, 5470, 609, 513, 1164, 10335, 267, 19883, 621, 547, 519, 7926, 7348, 518, 781, 13335, 2845, 267, 543, 811, 1271, 267, 9870, 621, 609, 513, 1533, 540, 476, 14096, 267, 596, 2327, 602, 1100, 7097, 454, 8266, 532, 476, 277, 2982, 875, 594, 946, 519, 12327, 4488, 3948, 547, 1289, 519, 5650, 543, 1780, 538, 519, 6455, 17367, 9517, 543, 519, 1269, 273, 2929, 269, 476, 272, 12327, 4488, 22352, 306, 2297, 476, 25971, 267, 476, 1220, 1822, 271, 282, 5903, 532, 476, 277, 281, 26121, 7151, 2433, 8025, 4629, 310, 476, 275, 4200, 1724, 2073, 715, 31415, 20130, 568, 513, 1449, 5048, 262, 2073, 476, 272, 6902, 910, 5495, 9143, 7473, 15516, 326, 476, 31620, 876, 267, 5426, 476, 1626, 3557, 476, 1015, 267, 7412, 476, 272, 18438, 1297, 476, 275 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4462, 8971, 1540, 1257, 12744, 281, 5381, 6688, 540, 2371, 630, 576, 516, 1023, 267, 22053, 267, 8685, 619, 267, 3092, 4700, 16690, 9088, 540, 1715, 2622, 4547, 575, 712, 323, 5452, 609, 873, 23582, 730, 538, 17113, 281, 16441, 641, 18754, 267, 1455, 10365, 12379, 334, 26410, 10960, 23582, 919, 281, 4053, 322, 990, 344, 21868, 267, 744, 3250, 730, 11894, 3143, 12379, 334, 26410, 30042, 2831, 547, 1683, 4074, 267, 5144, 267, 6283, 595, 2355, 32337, 3212, 13827, 281, 14066, 1297, 540, 12593, 262, 3262, 689, 713, 2030, 941, 30042, 538, 519, 17113, 1312, 538, 519, 32665, 543, 2221, 853, 8944, 31793, 619, 31664, 281, 13207, 710, 538, 1072, 282, 5959, 2042, 2483, 8698, 9509, 11657, 454, 1607, 4063, 729, 23345, 593, 476, 6734, 270, 4962, 270, 1001, 273, 585, 519, 1576, 4888, 8025, 476, 13136, 6026, 676, 7905, 16065, 1282, 519, 12096, 1412, 1015, 2165, 693, 6167, 290, 563, 268, 12096, 1412, 1015, 0, 10743, 786, 2932, 513, 2757, 2978, 4152, 519, 2360, 540, 13666, 4577, 267, 5409, 2023, 545, 267, 543, 5492, 4577, 3435, 593, 606, 4212, 1591, 269, 9906, 786, 581, 2838, 547, 2445, 6482, 1239, 543, 1459, 519, 1239, 538, 11708, 269, 901, 3561, 2882, 513, 2596, 2978, 609, 2055, 693, 519, 1439, 607, 1134, 607, 606, 4359, 4528, 602, 3340, 1053, 547, 2328, 513, 2978, 1867, 269, 634, 2978, 1867, 4528, 2501, 2347, 609, 21249, 19875, 563, 288, 4116, 3391, 568, 849, 3769, 269, 0, 16032, 769, 4147, 585, 8708, 5388, 910, 4945, 1934, 585, 3877, 454, 4415, 513, 2189, 16246, 4356, 3938, 1326, 974, 1412, 14937, 11206, 262, 2306, 513, 1390, 2230, 9494, 3099, 585, 3395, 538, 11149, 593, 519, 1273, 1470, 269, 634, 1279, 11710, 786, 991, 1119, 532, 5196, 513, 1726, 961, 529, 610, 2121, 1154, 547, 9900, 5721, 873, 20733, 269, 3938, 1326, 974, 4563, 11206, 786, 3132, 5230, 11729, 540, 4158, 3039, 267, 5347, 267, 20425, 476, 1428, 9492, 630, 277, 8442, 1330, 1326, 5052, 952, 13603, 5781, 2429, 519, 4832, 269, 27551, 281, 476, 6344, 9492, 630, 4366, 20257, 24619, 281, 476, 2568, 9492, 630, 2190, 257, 1916, 290, 592, 2435, 4063, 281, 2368, 2694, 540, 891, 5810, 616, 17580, 269, 1280, 811, 3877, 827, 17580, 5810, 4945, 1934, 563, 4467, 3966, 542, 9544, 281, 8347, 3395, 1330, 1326, 5052, 609, 2836, 754, 3121, 547, 4482, 3542, 3215, 7786, 799, 786, 538, 2490, 3542, 3729, 707, 1330, 1326, 974, 5810, 563, 15031, 1470, 267, 28881, 12567, 454, 272, 13268, 564, 630, 275, 3938, 1326, 974, 25994, 264, 630, 22721, 23669, 10695, 994, 306, 578, 1330, 1326, 974, 6079, 16280, 689, 4989, 547, 2904, 585, 13003, 532, 2663, 593, 267, 610, 1463, 30889, 13964, 689, 3735, 2904, 547, 4873, 269, 16259, 519, 3037, 538, 2038, 5614, 676, 4946, 7899, 540, 1134, 4232, 1540, 3484, 12881, 23226, 547, 2087, 922, 2497, 543, 12680, 563, 5715, 14995, 267, 30889, 6079, 693, 513, 3178, 540, 476, 273, 9492, 630, 476, 274, 270, 275, 8442, 538, 476, 278, 269, 276, 9492, 630, 274, 8442, 17428, 540, 1863, 1673, 20995, 267, 6079, 521, 12976, 11003, 269, 9255, 538, 513, 9070, 1807, 610, 13021, 8708, 3330, 513, 5068, 9126, 693, 513, 2837, 540, 476, 736, 268, 1839, 290, 630, 6924, 268, 6507, 293, 264, 2394, 23286, 799, 3217, 476, 276, 268, 278, 2395, 269, 1684, 711, 23868, 1769, 267, 607, 713, 2337, 23286, 269, 4495, 10351, 3990, 267, 1332, 1330, 1326, 5052, 593, 538, 16830, 2175, 2394, 782, 1981, 540, 15470, 814, 5293, 543, 1330, 1326, 974, 2371, 616, 1804, 2614, 547, 581, 1098, 680, 5896, 269, 26431, 1035, 743, 574, 520, 1047, 873, 547, 9205, 2175, 936, 476, 278, 910, 476, 1015, 2395, 1354, 9544, 1330, 1326, 5052, 13964, 538, 3638, 15417, 267, 1134, 27071, 3037, 538, 2407, 3141, 693, 513, 3845, 540, 476, 3445, 9492, 630, 3607, 8442, 6306, 269, 4563, 11206, 2371, 786, 2154, 513, 1726, 961, 529, 610, 2121, 1154, 1489, 543, 519, 11710, 5402, 13615, 538, 269, 15147, 609, 513, 8825, 2121, 1154, 610, 25176, 576, 547, 2061, 4323, 689, 5017, 543, 7786, 269, 1879, 3395, 1330, 1326, 5052, 267, 513, 5394, 22890, 540, 5214, 2339, 3262, 1472, 519, 2371, 786, 948, 547, 18359, 7509, 693, 519, 5072, 563, 21446, 8271, 1463, 30889, 1330, 1326, 5052, 13964, 693, 513, 3178, 540, 476, 273, 9492, 630, 476, 274, 270, 275, 8442, 543, 513, 3845, 540, 476, 3445, 9492, 630, 3607, 8442, 6306, 269, 590, 578, 476, 273, 5452, 829, 8559, 543, 6094, 856, 519, 4617, 652, 6079, 1782, 829, 6728, 1310, 23286, 563, 5353, 2644, 543, 4677, 7727, 786, 7363, 581, 9447, 1369, 519, 942, 1974, 7150, 1996, 1142, 1587, 607, 2143, 1657, 269, 12518, 267, 15620, 267, 524, 768, 338, 267, 8685, 619, 267, 19211, 267, 4054, 267, 12277, 3092, 616, 9447, 693, 519, 3617, 942, 585, 9544, 543, 786, 581, 7150, 593, 519, 1587, 2985, 610, 538, 707, 1931, 11760, 618, 2985, 543, 4757, 563, 302, 6113, 619, 585, 21168, 540, 6079, 1651, 584, 513, 6765, 5279, 540, 11278, 272, 269, 4817, 563, 302, 6113, 619, 799, 1331, 1022, 824, 2472, 786, 1651, 584, 513, 6765, 5279, 540, 11278, 275, 269, 4817, 563, 8489, 606, 1931, 2882, 1312, 21168, 540, 5452, 543, 824, 2472, 267, 513, 5021, 6765, 5279, 540, 11278, 277, 269, 3445, 786, 4019, 910, 7488, 540, 519, 1297, 540, 3688, 10288, 563, 29209, 3688, 949, 1651, 584, 513, 2362, 6765, 5279, 910, 713, 786, 581, 10268, 538, 707, 10918, 11127, 563, 8923, 1294, 938, 24822, 2985, 585, 2417, 3877, 543, 3877, 540, 1022, 1147, 12737, 525, 602, 949, 4019, 547, 1978, 18353, 563, 2690, 707, 2347, 4708, 540, 2247, 267, 938, 5851, 543, 12567, 2472, 949, 581, 8120, 547, 721, 1369, 476, 1789, 2395, 540, 6718, 585, 513, 32479, 540, 519, 6718, 3902, 269, 27294, 1590, 581, 8120, 30694, 267, 693, 707, 1942, 543, 538, 20511, 2783, 269, 2353, 3688, 4163, 513, 10672, 781, 476, 1321, 3923, 12889, 15549, 344, 563, 8649, 5074, 2208, 476, 1001, 276, 268, 4962, 268, 3066, 454, 763, 5452, 616, 7199, 950, 3379, 547, 930, 8677, 855, 891, 616, 4502, 621, 269, 3371, 649, 616, 693, 519, 1439, 540, 2904, 543, 594, 993, 2907, 16116, 1330, 1326, 5052, 543, 519, 2371, 616, 1152, 1079, 3952, 7381, 256, 269, 901, 1058, 581, 606, 4277, 4832, 585, 1330, 1326, 5052, 267, 5654, 899, 594, 4927, 723, 547, 2007, 856, 782, 1346, 2025, 10346, 585, 1330, 1326, 5052, 1586, 563, 307, 261, 300, 14452, 593, 476, 1001, 276, 268, 4962, 268, 3066, 281, 11289, 596, 585, 707, 2689, 543, 585, 2921, 519, 942, 547, 2671, 707, 8748, 8292, 269, 594, 4126, 649, 666, 3136, 547, 581, 540, 3028, 563, 296, 2648, 891, 256, 901, 4832, 729, 741, 7887, 4161, 2094, 649, 723, 1185, 513, 4411, 5147, 543, 4864, 1934, 538, 519, 22236, 269, 901, 568, 693, 2547, 1250, 476, 275, 628, 1032, 3395, 713, 3099, 543, 594, 4312, 2943, 547, 581, 25922, 269, 5080, 29418, 267, 789, 8057, 1732, 713, 1032, 982, 2250, 1296, 609, 7372, 3762, 18923, 30223, 676, 519, 7646, 1168, 799, 726, 8046, 519, 824, 1330, 1326, 5052, 269, 1924, 2484, 594, 723, 13603, 476, 1626, 737, 3342, 689, 1079, 2371, 563, 307, 261, 300, 14452, 593, 476, 1001, 276, 268, 6021, 268, 6349, 281, 11289, 596, 585, 2921, 519, 942, 547, 2022, 707, 2689, 269, 594, 993, 19914, 547, 5873, 602, 596, 723, 1185, 1967, 609, 713, 3099, 269, 594, 4126, 649, 666, 3136, 547, 581, 540, 3028, 563, 21196, 540, 519, 2558, 858, 1749, 476, 1001, 274, 268, 1321, 268, 6021, 454, 296, 723, 547, 14902, 269, 594, 729, 3206, 2558, 858, 573, 950, 594, 4682, 547, 2328, 713, 855, 723, 1044, 29041, 547, 621, 7466, 256, 589, 1360, 11327, 2030, 855, 581, 19230, 1547, 594, 1705, 711, 5721, 9553, 909, 543, 835, 568, 1631, 476, 1428, 3952, 1279, 2921, 909, 519, 3003, 2427, 540, 1250, 4874, 339, 684, 6773, 269, 4279, 952, 596, 723, 519, 2230, 267, 855, 594, 786, 6529, 547, 513, 811, 11741, 3099, 1985, 1032, 563, 23871, 858, 573, 568, 513, 811, 813, 339, 2012, 585, 713, 2030, 269, 2991, 1082, 1296, 540, 1152, 513, 1906, 4374, 540, 1967, 2927, 1746, 689, 824, 8677, 891, 2371, 616, 513, 7772, 547, 1332, 267, 952, 1152, 594, 1223, 3914, 519, 1283, 799, 6067, 936, 519, 3039, 2777, 8122, 269, 4400, 569, 4363, 873, 454, 307, 7360, 2558, 858, 1749, 476, 1001, 273, 268, 5400, 268, 2767, 454, 14937, 4104, 568, 519, 3501, 2012, 547, 1167, 12288, 713, 3099, 607, 602, 568, 4010, 1018, 1775, 1336, 538, 1747, 540, 1250, 8511, 1310, 13059, 1753, 689, 513, 9702, 11482, 14285, 547, 972, 1378, 3457, 891, 17705, 959, 858, 1749, 786, 1332, 1259, 2250, 519, 476, 6344, 9492, 4463, 621, 2829, 593, 519, 17142, 269, 670, 4007, 6556, 540, 17705, 5613, 543, 3083, 604, 1638, 5810, 2336, 2750, 3250, 550, 1330, 1326, 974, 585, 1507, 5624, 476, 1001, 272, 268, 6021, 268, 736, 454, 4322, 1330, 1326, 5052, 3100, 547, 11883, 609, 14927, 2175, 865, 1454, 1732, 982, 1022, 824, 267, 865, 649, 1265, 649, 1205, 513, 1454, 8273, 7693, 982, 1022, 824, 2186, 540, 1330, 1326, 974, 269, 1358, 798, 991, 547, 581, 13615, 538, 855, 789, 1491, 909, 1447, 2230, 982, 513, 3339, 1330, 1326, 974, 910, 789, 6157, 1205, 1250, 8917, 950, 7446, 513, 1330, 1326, 974, 3099, 454, 20062, 2969, 589, 14160, 8379, 21612, 256, 476, 1001, 272, 268, 6021, 268, 1724, 454, 5970, 6738, 713, 16246, 1330, 1326, 974, 1631, 585, 1614, 1296, 936, 606, 2895, 3118, 910, 835, 2030, 552, 527, 1667, 728, 910, 789, 2743, 538, 519, 1647, 693, 519, 1283, 543, 3444, 936, 269, 1358, 3132, 17681, 267, 7657, 2293, 727, 1330, 1326, 5052, 782, 4832, 543, 1134, 883, 519, 15489, 952, 621, 568, 2186, 543, 1118, 513, 1034, 8966, 818, 3481, 13675, 883, 1250, 1654, 326, 15429, 2523, 950, 538, 8768, 269, 594, 1131, 4363, 713, 1330, 1326, 974, 547, 4896, 2110, 593, 2230, 910, 621, 568, 4502, 14237, 543, 2141, 7472, 1134, 563, 290, 3916, 6883, 543, 1869, 2469, 2178, 476, 1001, 272, 268, 6021, 268, 1556, 454, 296, 2328, 713, 538, 5437, 630, 327, 3058, 2943, 547, 1995, 513, 15470, 264, 693, 799, 942, 1250, 2030, 568, 1869, 3395, 2178, 543, 6721, 1330, 1326, 5052, 2348, 267, 609, 1489, 267, 26987, 513, 1726, 961, 529, 543, 6738, 27477, 547, 513, 3259, 540, 936, 476, 1321, 3952, 15029, 9846, 3246, 513, 7556, 2059, 519, 1259, 269, 9521, 824, 8677, 6738, 693, 519, 1482, 942, 267, 519, 10875, 12129, 6676, 2450, 5810, 3132, 1330, 1326, 5052, 602, 723, 5706, 539, 16507, 6285, 269, 594, 786, 6157, 1332, 1586, 543, 723, 1100, 11688, 2787, 538, 2857, 2056, 563, 12148, 16246, 1330, 1326, 974, 476, 1001, 271, 268, 6021, 268, 2764, 454, 2171, 723, 6738, 891, 1330, 1326, 5052, 1360, 6707, 593, 513, 1726, 961, 529, 20545, 713, 1032, 269, 630, 2171, 723, 5230, 10036, 3037, 267, 799, 814, 1044, 4824, 609, 930, 1134, 4232, 1540, 23226, 267, 855, 621, 781, 1869, 5393, 5230, 543, 12155, 547, 1216, 8421, 3101, 4700, 1358, 1413, 1390, 538, 8768, 267, 543, 723, 3812, 513, 10257, 7693, 540, 18991, 6653, 17705, 5613, 267, 609, 1100, 15280, 1145, 693, 782, 269, 32254, 344, 7646, 1168, 814, 1305, 538, 1631, 267, 855, 649, 3513, 581, 3395, 873, 1586, 1985, 1032, 607, 513, 16560, 4183, 607, 1134, 607, 513, 26656, 1426, 7693, 269, 910, 4400, 569, 5227, 269, 0, 12441, 596, 917, 602, 476, 1015, 260, 540, 4892, 723, 1185, 741, 9163, 21687, 267, 543, 593, 3328, 267, 1142, 540, 1346, 2043, 4503, 1472, 1269, 276, 267, 1822, 286, 2336, 15275, 640, 17403, 568, 513, 1106, 540, 12611, 610, 32533, 540, 1776, 1268, 779, 3961, 538, 799, 2576, 5910, 1742, 547, 581, 2576, 3116, 676, 14322, 602, 1268, 779, 3961, 267, 3335, 538, 1931, 547, 1569, 2200, 610, 3489, 5491, 543, 824, 2640, 538, 602, 1268, 779, 2012, 563, 1607, 568, 513, 2101, 3390, 538, 2221, 779, 2486, 1317, 972, 616, 865, 1082, 2081, 621, 666, 4755, 269, 2368, 540, 519, 1034, 1455, 2409, 585, 27560, 2576, 779, 3961, 1331, 13098, 1324, 2123, 1239, 689, 11418, 267, 27560, 32259, 270, 920, 9016, 270, 2839, 6486, 267, 543, 9811, 267, 667, 2794, 3122, 11362, 19403, 2859, 0, 5804, 476, 10082, 280, 2394, 476, 9965, 278, 5261, 13984 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3422, 274, 269, 1261, 30122, 9676, 519, 15246, 538, 513, 1753, 7260, 1247, 2083, 2719, 519, 16232, 1929, 748, 710, 543, 5179, 322, 1228, 607, 621, 14612, 998, 1546, 1446, 344, 1773, 18054, 269, 634, 2098, 777, 337, 31335, 4670, 568, 9833, 607, 519, 1034, 2347, 22089, 540, 519, 26923, 563, 22832, 7338, 570, 6558, 729, 513, 1286, 6455, 2006, 945, 4607, 5634, 7063, 1282, 519, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 538, 28543, 267, 7147, 267, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 570, 6558, 4607, 513, 5634, 10138, 547, 1010, 1318, 32336, 3361, 676, 6263, 4773, 540, 6405, 11935, 689, 513, 8265, 26193, 602, 729, 13351, 676, 15998, 689, 513, 16886, 602, 729, 17991, 693, 17394, 269, 14755, 17394, 543, 7147, 17135, 3627, 645, 269, 1230, 333, 958, 267, 570, 6558, 729, 519, 1152, 824, 1268, 1634, 547, 723, 1044, 13351, 607, 513, 1267, 540, 7784, 13933, 693, 28543, 781, 1546, 1446, 344, 1773, 18054, 602, 1554, 563, 1607, 2376, 15109, 519, 2143, 15415, 540, 2621, 1354, 267, 1282, 267, 543, 1310, 519, 26923, 540, 3627, 674, 269, 17394, 267, 519, 476, 3374, 628, 7022, 540, 519, 2136, 2276, 563, 763, 14068, 613, 2494, 568, 606, 7164, 4137, 945, 568, 1625, 19959, 569, 1459, 1369, 519, 6307, 7720, 768, 534, 8523, 540, 519, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 538, 1546, 1446, 344, 1773, 18054, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 3117, 335, 16820, 28466, 723, 6700, 602, 713, 4137, 568, 513, 2879, 23803, 20590, 513, 14049, 693, 519, 5518, 689, 519, 6371, 344, 5679, 3326, 269, 4014, 513, 1065, 3176, 18665, 14794, 8755, 25848, 999, 1454, 540, 519, 1469, 267, 519, 14068, 613, 2494, 814, 1044, 4330, 607, 513, 1268, 9849, 513, 7128, 7833, 9789, 1395, 32304, 3294, 24283, 689, 513, 6505, 5544, 593, 519, 9221, 267, 799, 568, 1767, 547, 18613, 513, 575, 548, 5446, 3983, 613, 563, 763, 14520, 628, 4469, 3233, 7467, 693, 1546, 1446, 344, 1773, 18054, 568, 513, 9754, 4092, 593, 519, 15795, 6989, 540, 519, 28543, 6019, 10029, 8490, 538, 25708, 28543, 267, 7147, 267, 6772, 8504, 1546, 1446, 344, 1773, 18054, 693, 519, 10167, 540, 4432, 332, 543, 20279, 6790, 1115, 269, 634, 9754, 12116, 519, 1272, 267, 2053, 267, 2669, 267, 543, 9371, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 543, 519, 1272, 540, 10557, 29542, 744, 1873, 12245, 607, 1134, 607, 519, 1585, 24242, 6436, 4478, 519, 26923, 563, 763, 18243, 6874, 1410, 8490, 568, 513, 5722, 3613, 800, 5604, 2679, 4092, 693, 476, 26341, 4432, 332, 9335, 538, 519, 4639, 7736, 19866, 10588, 540, 25708, 28543, 267, 7147, 267, 2136, 2276, 269, 634, 2679, 568, 4092, 593, 519, 22583, 7944, 540, 4432, 332, 543, 3345, 20279, 6790, 1115, 267, 2066, 519, 8265, 689, 519, 7147, 3427, 3883, 3493, 12141, 538, 1546, 1446, 344, 1773, 18054, 267, 519, 6429, 540, 519, 26923, 540, 772, 2529, 269, 5518, 3627, 674, 269, 17394, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 634, 18243, 6874, 1410, 8490, 267, 3006, 1572, 519, 28543, 6874, 2169, 3796, 8490, 267, 519, 18243, 6874, 1410, 10369, 8490, 267, 610, 519, 18243, 6874, 1410, 6742, 8490, 267, 729, 513, 4099, 540, 519, 19135, 1870, 538, 28543, 563, 763, 3627, 674, 269, 17394, 26923, 29461, 4016, 547, 519, 1279, 1532, 19128, 961, 539, 3595, 1301, 602, 729, 1031, 547, 18272, 3729, 3627, 674, 269, 17394, 267, 519, 476, 3374, 628, 5518, 540, 519, 2136, 2276, 563, 22832, 5261, 834, 296, 651, 257, 16816, 326, 839, 729, 606, 1977, 8666, 329, 16067, 626, 267, 8666, 9375, 267, 543, 2361, 27680, 585, 519, 23105, 4964, 630, 4338, 264, 1759, 538, 28543, 267, 7147, 267, 945, 2968, 1634, 585, 1010, 26278, 960, 1282, 519, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 630, 297, 293, 298, 1040, 16816, 326, 839, 729, 476, 866, 950, 646, 3459, 1010, 6673, 4876, 267, 799, 729, 29169, 676, 4108, 3028, 1282, 2622, 2782, 4083, 269, 1879, 1010, 3028, 942, 8694, 267, 16816, 326, 839, 8120, 547, 28543, 543, 3893, 9310, 269, 1261, 4166, 4682, 1394, 547, 960, 585, 519, 2199, 6673, 17531, 543, 5555, 12236, 513, 2990, 607, 513, 9972, 9375, 563, 7775, 6807, 2107, 3559, 715, 1460, 729, 513, 7198, 547, 519, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 538, 28543, 267, 7147, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 3571, 2083, 2719, 540, 519, 15246, 267, 799, 1152, 9676, 519, 2063, 1906, 7643, 540, 621, 267, 568, 2808, 547, 581, 5176, 607, 1271, 607, 519, 4670, 676, 14062, 2098, 777, 337, 31335, 563, 11321, 773, 631, 269, 13518, 3467, 729, 835, 540, 519, 22168, 547, 519, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 538, 28543, 267, 7147, 267, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 589, 2681, 476, 279, 6515, 4670, 602, 13518, 3467, 1500, 568, 835, 540, 519, 3119, 6054, 540, 519, 26923, 269, 634, 13518, 3467, 4670, 267, 609, 824, 476, 279, 6515, 8874, 3144, 676, 14062, 2098, 777, 337, 31335, 543, 2107, 6807, 715, 1460, 267, 729, 1031, 676, 519, 25303, 8189, 547, 8495, 519, 26923, 543, 547, 2990, 519, 16232, 1929, 748, 710, 538, 513, 18837, 18883, 540, 519, 2680, 538, 2904, 476, 3422, 275, 563, 1692, 731, 15776, 12340, 645, 1066, 22974, 729, 606, 1977, 17728, 626, 543, 9252, 7257, 614, 945, 729, 7198, 547, 519, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 538, 28543, 267, 7147, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 4340, 547, 519, 25303, 8189, 267, 645, 1066, 22974, 781, 6609, 540, 513, 2879, 23803, 646, 4718, 729, 2625, 894, 538, 8757, 519, 3932, 602, 519, 15833, 3357, 689, 519, 15795, 6989, 267, 22703, 7944, 6885, 540, 519, 7147, 3427, 3883, 3493, 12141, 8490, 563, 300, 3320, 333, 590, 6308, 2006, 729, 606, 1977, 21200, 626, 543, 513, 7198, 547, 519, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 538, 28543, 267, 7147, 267, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 2701, 729, 609, 1200, 20148, 267, 14062, 2098, 777, 337, 31335, 267, 607, 646, 1500, 519, 2098, 777, 337, 31335, 4670, 267, 519, 1034, 6594, 2594, 540, 519, 26923, 563, 763, 2098, 777, 337, 31335, 4670, 568, 513, 14980, 476, 279, 7825, 2681, 5163, 4605, 5311, 8929, 676, 14062, 2098, 777, 337, 31335, 609, 513, 13852, 1299, 1215, 749, 1753, 2173, 990, 773, 8254, 267, 607, 2136, 2276, 5518, 3627, 674, 269, 17394, 781, 5179, 322, 1228, 5293, 998, 1546, 1446, 344, 1773, 18054, 538, 28543, 267, 7147, 267, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 898, 9676, 519, 26923, 540, 519, 5518, 563, 763, 26923, 540, 5518, 3627, 674, 269, 17394, 593, 5437, 476, 2420, 267, 476, 3422, 274, 838, 1177, 2740, 3875, 24242, 6436, 269, 1452, 6436, 620, 5076, 519, 9525, 540, 519, 31835, 267, 519, 631, 2378, 807, 267, 21470, 5518, 10370, 526, 517, 645, 269, 9652, 267, 23162, 11788, 10579, 674, 14988, 10011, 549, 267, 519, 918, 16412, 267, 610, 930, 4999, 540, 891, 2043, 543, 9988, 269, 634, 3312, 31440, 7634, 543, 25303, 8189, 1867, 267, 607, 1134, 607, 606, 16957, 834, 17754, 793, 31835, 3382, 5346, 2580, 723, 3366, 547, 519, 3409, 602, 519, 5313, 2229, 22393, 4988, 909, 2629, 1344, 538, 519, 21987, 540, 519, 26923, 269, 4813, 518, 11968, 13353, 10588, 30374, 27673, 645, 1872, 2993, 657, 328, 6059, 602, 513, 2698, 540, 476, 5655, 2516, 267, 476, 11025, 18272, 1231, 267, 543, 476, 20969, 1004, 1185, 1044, 15034, 693, 835, 942, 610, 1776, 538, 1585, 24242, 7653, 563, 303, 1112, 999, 540, 519, 10266, 281, 22878, 543, 519, 2667, 817, 1588, 540, 5518, 17394, 568, 513, 476, 1960, 275, 1433, 676, 9400, 645, 269, 2558, 2532, 267, 606, 1977, 14787, 543, 2895, 22999, 1759, 538, 8355, 951, 267, 12590, 269, 634, 1433, 735, 3796, 811, 982, 476, 12573, 11147, 1500, 676, 23153, 543, 3318, 21706, 538, 28543, 267, 7147, 267, 1282, 519, 5437, 476, 3422, 274, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 267, 543, 2882, 11042, 609, 1082, 540, 519, 1004, 945, 1500, 519, 2592, 267, 930, 540, 799, 1185, 2760, 1044, 3370, 1991, 547, 519, 1433, 781, 5305, 563, 307, 1410, 553, 30374, 4937, 654, 12000, 517, 518, 29336, 13986, 513, 1533, 7400, 7634, 855, 4607, 1100, 9316, 689, 519, 25303, 8189, 269, 769, 519, 1439, 267, 29336, 3622, 31045, 519, 25303, 8189, 781, 4681, 563, 8450, 6337, 476, 272, 267, 476, 275, 267, 476, 278, 267, 543, 476, 279, 563, 16031, 269, 18741, 706, 742, 729, 519, 6519, 5600, 2046, 812, 538, 5279, 693, 28543, 1317, 24839, 590, 2718, 518, 267, 519, 8783, 2046, 23122, 267, 729, 10707, 547, 3567, 609, 2818, 540, 519, 16410, 6839, 563, 7661, 267, 538, 476, 1960, 280, 267, 606, 32404, 8470, 10288, 519, 2229, 547, 2628, 519, 2098, 777, 337, 644, 619, 1269, 1626, 2929, 547, 1832, 519, 3312, 4670, 269, 4340, 547, 519, 2871, 514, 1145, 3883, 540, 2622, 19475, 267, 602, 1568, 856, 547, 513, 2594, 31771, 1269, 277, 1428, 267, 29575, 829, 2034, 563, 290, 2194, 664, 674, 761, 345, 5143, 519, 25303, 8189, 602, 834, 296, 6854, 1100, 4967, 693, 519, 942, 257, 540, 1010, 1896, 23827, 725, 540, 744, 1873, 12245, 630, 275, 670, 476, 20385, 1040, 1717, 267, 1082, 1296, 2663, 267, 2576, 4362, 930, 1079, 543, 513, 3368, 3817, 540, 674, 761, 345, 781, 29629, 10389, 1688, 25740, 4967, 693, 519, 2817, 19964, 269, 674, 761, 345, 849, 1767, 602, 834, 13367, 531, 2395, 2663, 257, 646, 5206, 811, 3573, 4967, 540, 519, 23827, 725, 630, 275, 670, 476, 20385, 1040, 0, 16978, 3055, 2575, 2504, 568, 513, 1390, 543, 3407, 2534, 585, 1453, 269, 3502, 1152, 1281, 621, 1450, 873, 547, 723, 1187, 4020, 1947, 267, 855, 621, 849, 22262, 782, 519, 2127, 540, 513, 1126, 779, 1646, 269, 1879, 6947, 547, 267, 1565, 267, 543, 4730, 2575, 267, 3214, 1205, 3238, 14156, 267, 13998, 267, 6457, 1302, 267, 9308, 267, 543, 8059, 12264, 563, 4407, 1082, 3237, 2119, 547, 5337, 924, 741, 1453, 779, 1719, 538, 2489, 2575, 267, 1866, 949, 1616, 547, 1205, 873, 3238, 538, 513, 1808, 1858, 540, 2575, 269, 6884, 267, 519, 3214, 8858, 513, 1880, 1719, 538, 513, 1978, 2575, 9135, 610, 2534, 563, 2252, 707, 3214, 3100, 547, 899, 5907, 2575, 267, 543, 596, 1616, 547, 948, 873, 1020, 713, 1007, 6612, 267, 1934, 616, 930, 3730, 4388, 547, 1205, 873, 3323, 563, 1432, 16811, 1684, 1411, 10261, 888, 303, 18166, 5907, 2575, 3340, 519, 2556, 2645, 269, 1403, 596, 2461, 1175, 3478, 3323, 267, 1376, 676, 9140, 519, 1034, 2596, 3937, 630, 16341, 540, 799, 596, 949, 2907, 723, 1040, 3371, 568, 513, 1592, 540, 519, 1898, 1919, 707, 1126, 568, 2469, 547, 991, 563, 7197, 2693, 267, 519, 2780, 602, 596, 2907, 1378, 568, 2614, 585, 707, 1453, 547, 1205, 3323, 269, 898, 666, 581, 513, 18376, 2780, 267, 513, 15291, 267, 610, 1256, 513, 16979, 269, 634, 1292, 10421, 568, 602, 519, 2780, 568, 3728, 2614, 267, 543, 602, 2636, 596, 547, 2594, 2575, 269, 27009, 267, 513, 2603, 540, 1762, 2575, 12696, 2594, 741, 8964, 593, 741, 24195, 610, 1256, 16389, 269, 1403, 596, 616, 6236, 9140, 513, 1007, 2780, 585, 707, 3214, 267, 972, 616, 7899, 540, 3681, 538, 2474, 540, 1312, 5777, 543, 2298, 269, 3509, 8837, 24195, 616, 10097, 543, 782, 707, 1453, 991, 547, 1376, 6721, 5907, 2575, 563, 2414, 1451, 875, 547, 2995, 1142, 3280, 609, 8856, 267, 3339, 2780, 10529, 616, 2356, 711, 2614, 269, 589, 1434, 1305, 540, 30069, 786, 948, 707, 3214, 1449, 543, 12575, 2575, 1732, 269, 6733, 585, 30069, 602, 616, 6899, 267, 14463, 267, 543, 15409, 269, 27009, 267, 12616, 30069, 616, 849, 2139, 267, 4352, 789, 4043, 547, 581, 811, 7199, 982, 1346, 609, 513, 10814, 563, 19445, 23866, 4518, 23667, 454, 288, 21096, 310, 630, 19445, 23866, 4518, 23667, 264, 568, 606, 813, 602, 568, 1031, 585, 10916, 267, 11049, 267, 543, 11544, 2575, 269, 898, 2636, 519, 3593, 547, 13861, 1312, 17974, 543, 3167, 4992, 269, 2368, 21096, 310, 338, 616, 2139, 585, 1863, 267, 1519, 12275, 720, 7171, 543, 589, 1076, 2023, 14970, 700, 924, 563, 288, 1863, 21096, 310, 568, 1390, 585, 14987 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10326, 610, 10664, 8851, 3254, 607, 851, 540, 513, 9457, 2422, 18983, 527, 1281, 711, 2154, 513, 5094, 3529, 610, 10664, 8851, 11863, 563, 763, 1344, 4843, 1934, 568, 1582, 3146, 19959, 269, 2755, 589, 3008, 4047, 5234, 2689, 13980, 540, 782, 5254, 12678, 5359, 543, 5238, 616, 10950, 547, 3343, 3606, 3029, 540, 2689, 267, 519, 1239, 538, 5254, 12678, 5359, 616, 711, 20240, 676, 589, 3008, 4047, 269, 1403, 596, 3494, 1022, 540, 713, 1344, 568, 20093, 821, 748, 610, 22522, 609, 5491, 7355, 267, 5225, 2689, 519, 1184, 585, 22679, 3931, 827, 519, 1344, 4080, 676, 606, 9872, 543, 2347, 519, 4578, 769, 11431, 4813, 269, 0, 1692, 1082, 1634, 10785, 616, 538, 519, 27305, 10158, 888, 10666, 476, 274, 267, 4335, 608, 26979, 1115, 723, 1044, 4362, 607, 540, 4989, 476, 1001, 278, 563, 2026, 540, 4989, 476, 1001, 278, 267, 8331, 814, 9672, 827, 476, 274, 267, 4335, 608, 26979, 1115, 269, 1703, 616, 849, 936, 476, 275, 267, 1822, 11134, 10785, 799, 18387, 1405, 2943, 1044, 9672, 563, 763, 1357, 3135, 1990, 3019, 5744, 3820, 814, 3323, 513, 1401, 26979, 564, 10812, 3464, 1788, 1141, 13538, 1413, 585, 3270, 538, 1769, 14258, 799, 5815, 602, 513, 4541, 814, 1098, 1243, 922, 5182, 269, 769, 513, 1906, 2395, 827, 476, 1220, 10785, 941, 4362, 713, 1259, 269, 0, 9336, 6648, 814, 513, 5137, 5657, 8457, 320, 281, 513, 1650, 540, 875, 621, 729, 2854, 269, 769, 513, 15585, 3861, 2796, 267, 2048, 2145, 8457, 320, 685, 610, 1650, 267, 666, 2901, 581, 513, 2048, 5766, 5766, 270, 334, 685, 610, 2048, 7315, 340, 9857, 9957, 3245, 17748, 547, 3803, 26004, 267, 519, 5137, 554, 534, 340, 9857, 666, 7866, 519, 1419, 19581, 8684, 2078, 1063, 513, 10564, 779, 4835, 1582, 2389, 1779, 543, 5007, 3140, 543, 4207, 2833, 269, 6490, 1559, 630, 3333, 9464, 676, 5007, 2833, 264, 786, 3049, 544, 1638, 532, 267, 882, 1516, 267, 543, 556, 19960, 1588, 630, 514, 4156, 1582, 2389, 1779, 264, 543, 666, 18867, 543, 791, 6160, 1947, 1305, 1055, 519, 1543, 267, 3159, 267, 1106, 267, 543, 5339, 2553, 540, 513, 6648, 883, 796, 656, 4602, 730, 8846, 269, 898, 568, 711, 16613, 585, 513, 10564, 547, 1900, 2476, 689, 513, 588, 24521, 543, 16846, 1947, 2307, 267, 2048, 1692, 1705, 594, 1205, 1934, 26834, 685, 4033, 5007, 2188, 540, 19621, 13167, 616, 519, 1514, 543, 2797, 2916, 540, 519, 942, 540, 1603, 267, 519, 3483, 543, 16551, 540, 513, 20827, 4305, 267, 543, 1382, 269, 3194, 568, 2556, 952, 513, 6648, 1202, 1235, 593, 29595, 883, 986, 13949, 543, 14542, 8513, 269, 2986, 782, 891, 2188, 267, 1699, 8739, 27791, 2916, 568, 5310, 519, 1034, 9565, 538, 20834, 2358, 2950, 543, 2043, 547, 4497, 538, 3860, 3206, 543, 1603, 563, 1607, 2376, 568, 513, 835, 17574, 630, 20357, 607, 513, 5467, 267, 596, 616, 711, 538, 519, 2990, 547, 14443, 803, 264, 554, 534, 340, 9857, 540, 1250, 3860, 1184, 540, 1603, 519, 6648, 5675, 1142, 824, 1282, 5046, 268, 866, 543, 519, 21276, 2680, 4433, 264, 540, 519, 19154, 300, 3350, 269, 901, 554, 534, 340, 9857, 9691, 11828, 519, 4798, 540, 3314, 268, 532, 24150, 267, 1940, 268, 532, 936, 538, 22632, 540, 27136, 17171, 267, 543, 598, 1027, 268, 532, 1379, 602, 7153, 607, 513, 1471, 517, 585, 9322, 543, 737, 582, 1695, 527, 18553, 269, 769, 9759, 267, 713, 554, 534, 340, 9857, 568, 7361, 513, 1650, 540, 27136, 17171, 281, 513, 11812, 540, 1250, 4786, 27004, 630, 6588, 526, 15948, 264, 700, 11035, 779, 10516, 540, 15585, 3861, 1893, 9423, 543, 519, 1298, 2590, 540, 519, 15585, 3861, 1893, 538, 513, 6648, 2854, 585, 513, 15866, 6404, 5304, 538, 519, 20613, 1731, 6737, 3148, 540, 589, 582, 792, 10394, 563, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 27691, 732, 2704, 833, 476, 275, 269, 271, 4139, 17821, 269, 0, 14737, 832, 685, 30880, 769, 5019, 3949, 281, 21344, 7126, 1656, 10163, 2774, 687, 454, 3528, 27804, 3240, 320, 13850, 657, 531, 454, 763, 1034, 10058, 8984, 540, 513, 11180, 14764, 568, 519, 1318, 547, 2769, 707, 29926, 1996, 519, 2101, 9107, 6644, 610, 519, 28974, 2070, 269, 10456, 667, 962, 932, 18588, 577, 644, 4330, 519, 1318, 547, 2769, 29926, 607, 519, 968, 338, 23245, 11896, 892, 540, 513, 9111, 267, 15877, 799, 519, 2898, 9872, 666, 2097, 1835, 22824, 1524, 269, 634, 1034, 2500, 543, 9621, 1259, 540, 23187, 835, 779, 24895, 814, 1044, 998, 519, 1259, 540, 13889, 532, 563, 763, 7225, 26547, 814, 1625, 19959, 942, 543, 1586, 602, 519, 9406, 547, 14308, 568, 1671, 15590, 1441, 538, 519, 9139, 1369, 519, 5605, 1080, 540, 15080, 476, 866, 543, 476, 2641, 269, 901, 1318, 267, 1175, 607, 1022, 824, 27284, 9406, 267, 568, 2139, 547, 782, 540, 922, 4961, 1107, 1256, 547, 1295, 832, 563, 25748, 267, 513, 5634, 779, 1318, 547, 13889, 814, 2097, 896, 519, 16986, 267, 609, 519, 10966, 7040, 779, 29611, 540, 519, 7127, 540, 1453, 538, 4609, 540, 989, 2787, 1282, 519, 17600, 1996, 519, 9241, 5293, 22893, 1222, 14821, 2920, 267, 476, 1001, 280, 267, 538, 519, 1769, 540, 519, 2669, 540, 606, 10867, 693, 32599, 515, 523, 20045, 327, 269, 1717, 267, 519, 7040, 8959, 547, 1491, 26256, 529, 766, 540, 8320, 540, 7128, 30468, 1996, 1453, 602, 5949, 538, 519, 12687, 540, 519, 1482, 17600, 563, 1103, 3127, 267, 513, 1268, 568, 3989, 607, 513, 5634, 952, 789, 616, 896, 519, 2085, 540, 29933, 269, 6270, 2043, 616, 2356, 8200, 593, 519, 1416, 540, 741, 25330, 269, 2755, 519, 1876, 2115, 547, 3666, 741, 2924, 543, 20818, 9993, 547, 2417, 519, 4690, 540, 896, 720, 2043, 267, 30191, 513, 24120, 7333, 593, 7589, 538, 13889, 568, 606, 936, 18943, 563, 1103, 713, 1957, 267, 538, 3487, 4083, 267, 594, 2119, 547, 10250, 519, 2707, 540, 513, 5634, 779, 7915, 1318, 547, 13889, 538, 3486, 543, 6469, 4031, 269, 769, 3487, 8633, 267, 606, 3801, 568, 1500, 547, 5659, 519, 4080, 4145, 1472, 513, 5634, 779, 7589, 538, 13889, 543, 547, 4831, 873, 269, 11086, 267, 538, 3487, 10001, 267, 513, 3932, 568, 4843, 609, 513, 3102, 6644, 563, 14737, 528, 779, 9406, 1677, 14308, 769, 4139, 1656, 23582, 16572, 454, 30399, 519, 9406, 547, 13889, 568, 711, 513, 2016, 2318, 1318, 267, 855, 835, 602, 666, 581, 14648, 998, 824, 1480, 2924, 267, 1034, 3648, 519, 7126, 547, 5191, 540, 4082, 543, 1318, 547, 12560, 10198, 267, 602, 616, 16798, 896, 4139, 543, 23582, 4031, 269, 769, 713, 851, 267, 594, 3801, 547, 10250, 891, 2959, 563, 288, 269, 4139, 16572, 454, 19328, 568, 513, 1129, 2218, 547, 519, 2136, 8315, 9208, 29358, 16390, 585, 519, 10029, 540, 19565, 10456, 476, 2735, 276, 630, 10193, 1634, 607, 519, 2048, 6826, 18268, 16390, 685, 1040, 5015, 267, 621, 568, 849, 5428, 547, 267, 543, 814, 32738, 543, 7550, 883, 1200, 4031, 267, 519, 2136, 8315, 13482, 593, 519, 7126, 540, 519, 4132, 476, 2735, 280, 630, 8072, 7419, 10135, 290, 685, 1916, 763, 6167, 10135, 290, 267, 538, 9137, 476, 276, 267, 31234, 602, 2276, 538, 9777, 908, 593, 6927, 11341, 547, 1453, 1590, 581, 26256, 529, 656, 540, 741, 968, 5271, 6295, 19206, 892, 1247, 9137, 476, 1321, 2488, 602, 4759, 2829, 1058, 26924, 547, 519, 1126, 945, 568, 5827, 540, 8108, 1010, 610, 1200, 1378, 5784, 519, 1318, 547, 2769, 1346, 5784, 11884, 269, 9747, 267, 519, 1126, 1058, 581, 3177, 519, 4316, 547, 581, 4862, 538, 1022, 16324, 543, 11889, 18659, 7133, 519, 1126, 267, 2901, 2047, 610, 998, 513, 11347, 269, 4475, 267, 972, 666, 581, 1100, 19231, 593, 513, 1126, 779, 1318, 547, 13889, 1510, 6217, 519, 1126, 1101, 269, 13010, 267, 9137, 476, 1724, 540, 6167, 10135, 290, 18715, 513, 1126, 519, 1318, 547, 5191, 540, 4082, 543, 547, 5191, 547, 3343, 1702, 543, 1344, 998, 782, 1797, 2009, 269, 5019, 3949, 543, 989, 14591, 616, 2808, 547, 581, 4609, 540, 8795, 8369, 543, 2707, 540, 16565, 1702, 543, 1344, 269, 9747, 536, 18732, 1762, 4079, 689, 873, 4667, 547, 581, 538, 15333, 3685, 540, 519, 2924, 24705, 1042, 2390, 873, 563, 20091, 9137, 476, 1724, 2059, 609, 9137, 476, 1691, 1107, 15213, 540, 2219, 543, 25903, 267, 543, 9137, 476, 1428, 263, 272, 264, 1107, 15213, 540, 13458, 995, 13909, 267, 621, 666, 581, 11943, 602, 519, 2924, 540, 513, 1126, 568, 2147, 547, 1346, 540, 606, 2937, 543, 1058, 711, 581, 29572, 539, 538, 519, 6095, 321, 540, 7863, 741, 4690, 269, 769, 1249, 267, 519, 9730, 585, 519, 4027, 540, 519, 7126, 540, 519, 4132, 630, 11526, 896, 6167, 10135, 290, 264, 538, 922, 1867, 8078, 525, 4759, 2829, 547, 9777, 622, 593, 6927, 3823, 1295, 832, 538, 1259, 602, 621, 568, 711, 538, 21556, 540, 1022, 540, 891, 2924, 563, 6097, 547, 519, 13832, 593, 15213, 13458, 995, 13909, 267, 1453, 267, 899, 1022, 824, 12504, 267, 723, 2924, 267, 543, 3976, 606, 1719, 547, 2149, 1346, 2924, 543, 513, 10279, 547, 2769, 741, 771, 20880, 543, 547, 3565, 547, 519, 2208, 540, 519, 2486, 269, 898, 849, 1625, 7964, 602, 538, 2013, 540, 30969, 540, 1453, 267, 789, 1058, 581, 9674, 689, 4079, 543, 2027, 1416, 1058, 581, 3144, 585, 873, 267, 543, 1058, 711, 581, 1558, 609, 1022, 7130, 1813, 547, 741, 2085, 269, 13966, 609, 713, 267, 519, 19864, 16390, 791, 4680, 593, 4759, 2829, 519, 10279, 547, 1413, 1310, 513, 11174, 779, 11455, 1646, 543, 547, 2327, 741, 2489, 1134, 1373, 865, 602, 789, 666, 2661, 6209, 2729, 269, 1306, 7074, 4505, 267, 17600, 666, 581, 4609, 540, 2417, 532, 1271, 11407, 543, 16565, 1702, 269, 4935, 621, 1131, 581, 1996, 519, 6891, 540, 513, 1126, 779, 1646, 547, 6615, 873, 689, 10024, 891, 5624, 610, 8380, 7803, 15668, 593, 873, 610, 741, 25330, 952, 789, 6430, 547, 798, 865, 563, 1103, 3932, 267, 621, 666, 581, 2938, 602, 513, 5634, 779, 1318, 547, 13889, 538, 1134, 11251, 543, 6870, 538, 519, 28975, 540, 4139, 4521, 563, 289, 269, 23582, 16572, 454, 763, 9139, 540, 3127, 18715, 1978, 27284, 2924, 547, 782, 922, 4961, 1107, 7488, 540, 2085, 269, 634, 1034, 524, 913, 1540, 540, 891, 1107, 519, 10513, 959, 6541, 1107, 616, 519, 9406, 547, 5020, 267, 9406, 547, 25734, 267, 543, 519, 15213, 547, 16594, 543, 20309, 269, 7201, 519, 8545, 267, 621, 2417, 31234, 513, 2318, 1318, 547, 922, 4961, 547, 27043, 25678, 543, 547, 1847, 11884, 998, 519, 8513, 540, 3127, 269, 634, 589, 24128, 7040, 814, 2907, 5587, 1881, 602, 519, 9406, 547, 13889, 568, 513, 12504, 779, 4909, 1318, 543, 666, 581, 1336, 896, 3487, 8633, 540, 519, 9139, 269, 901, 1318, 666, 849, 581, 23754, 539, 998, 519, 16219, 9406, 547, 2069, 267, 602, 18715, 782, 3255, 547, 1451, 543, 13599, 2933, 547, 2043, 1063, 3670, 543, 27552, 1296, 540, 2085, 267, 607, 13889, 4609, 616, 513, 13398, 540, 3395, 1702, 543, 8795, 8369, 563, 4913, 267, 782, 27284, 7126, 616, 1641, 547, 10257, 9993, 896, 15080, 476, 866, 263, 273, 264, 547, 476, 866, 263, 277, 264, 540, 519, 9139, 269, 634, 2048, 14818, 540, 17217, 629, 30276, 8730, 1625, 19959, 676, 519, 10966, 7040, 538, 8496, 6652, 642, 269, 966, 14371, 10611, 578, 267, 10841, 1068, 1622, 602, 519, 1449, 1058, 711, 581, 513, 24120, 7333, 855, 1058, 581, 6956, 593, 513, 2013, 547, 2013, 4493, 267, 2921, 883, 2272, 1585, 2188, 269, 769, 519, 2339, 7282, 519, 1318, 540, 1295, 832, 547, 13889, 267, 606, 967, 4593, 3234, 3729, 29611, 568, 1996, 519, 31672, 540, 519, 27069, 1449, 267, 607, 621, 14543, 547, 1491, 883, 13857, 10080, 543, 1114, 8369, 519, 6107, 540, 519, 2486, 814, 547, 2709, 269, 3502, 1152, 1281, 971, 6604, 1796, 538, 15333, 3685, 540, 741, 16798, 2924, 267, 621, 3112, 581, 20582, 607, 10257, 269, 11153, 896, 720, 1762, 4079, 7390, 971, 17600, 593, 741, 1378, 2019, 819, 543, 946, 23405, 607, 513, 2707, 540, 11589, 29926, 563, 763, 593, 639, 540, 7863, 267, 21108, 543, 5009, 1126, 2924, 538, 3127, 8813, 593, 513, 27152, 1560, 1107, 634, 2817, 8189, 585, 10466, 540, 4132, 7126, 630, 8072, 301, 9573, 10135, 685, 1040, 769, 922, 4808, 585, 4027, 540, 1453, 1282, 3540, 19727, 267, 715 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14143, 264, 540, 932, 24934, 1177, 2244, 547, 519, 1533, 540, 14967, 543, 1500, 873, 1847, 1055, 540, 741, 5065, 2244, 5196, 834, 24465, 8513, 4840, 273, 269, 932, 24934, 9155, 1185, 547, 22109, 7178, 540, 519, 14967, 5211, 563, 307, 805, 344, 540, 1715, 661, 577, 7974, 454, 272, 269, 513, 1507, 1895, 540, 4258, 6593, 525, 630, 4335, 270, 1704, 267, 1822, 1070, 3366, 676, 11683, 3627, 23374, 267, 8815, 547, 1129, 513, 8851, 14097, 454, 273, 269, 12722, 11130, 602, 713, 14097, 5795, 1864, 519, 3656, 1379, 547, 4894, 782, 519, 31180, 689, 11908, 2676, 275, 269, 1401, 577, 6548, 741, 2244, 538, 11908, 585, 2244, 538, 20274, 454, 276, 269, 1234, 18727, 476, 276, 2929, 9489, 585, 519, 4182, 454, 277, 269, 634, 9513, 540, 2244, 729, 1996, 519, 3652, 540, 519, 31180, 4182, 630, 16269, 941, 711, 4847, 547, 6133, 741, 2244, 994, 278, 269, 1530, 4705, 519, 12556, 540, 519, 4258, 6593, 525, 454, 279, 269, 12984, 519, 2601, 585, 519, 12638, 540, 519, 681, 573, 2471, 543, 18379, 553, 29502, 2254, 563, 272, 269, 606, 1977, 29787, 543, 14787, 563, 273, 269, 3571, 1034, 4583, 960, 267, 645, 1722, 3733, 9839, 693, 654, 15903, 918, 26234, 630, 3192, 271, 264, 3877, 930, 540, 519, 5208, 543, 15746, 11124, 676, 7111, 4892, 693, 519, 3946, 540, 1977, 7269, 1143, 563, 272, 269, 606, 4081, 267, 14787, 267, 7548, 267, 543, 2278, 563, 273, 269, 18004, 538, 744, 24660, 267, 16127, 454, 274, 269, 3571, 960, 9607, 519, 2833, 540, 18441, 538, 3013, 454, 275, 269, 4112, 1819, 519, 3270, 267, 2984, 267, 543, 3123, 540, 10168, 1369, 3013, 563, 272, 269, 3689, 5518, 540, 519, 2136, 2276, 563, 273, 269, 7910, 1014, 267, 26934, 267, 2489, 267, 543, 7022, 269, 476, 274, 269, 27439, 519, 21829, 8136, 538, 519, 4339, 585, 7115, 563, 275, 269, 645, 1815, 877, 513, 2112, 5869, 1282, 519, 3943, 543, 4095, 2782, 563, 23210, 543, 4095, 2782, 454, 272, 269, 12984, 513, 2112, 10692, 676, 3943, 543, 2296, 593, 1977, 3037, 936, 1852, 540, 519, 11882, 5211, 9503, 454, 273, 269, 634, 2296, 17204, 3943, 538, 12293, 274, 563, 274, 269, 8466, 19043, 281, 3964, 4789, 607, 1297, 835, 1158, 1379, 543, 3459, 547, 7930, 1689, 8456, 540, 519, 21152, 4724, 4789, 585, 519, 8338, 563, 275, 269, 12984, 1572, 519, 3943, 543, 4095, 2782, 1317, 519, 12075, 10692, 7258, 519, 3943, 267, 10691, 1317, 789, 10692, 1996, 519, 3943, 454, 272, 269, 26064, 540, 519, 4258, 344, 26413, 1310, 476, 6977, 275, 945, 3366, 3646, 547, 5706, 1977, 17260, 689, 17857, 547, 12548, 563, 273, 269, 1261, 729, 513, 4708, 20447, 945, 15068, 519, 9995, 15880, 7136, 21492, 855, 729, 7166, 676, 606, 7952, 4323, 3366, 676, 4937, 6723, 595, 13831, 563, 272, 269, 634, 3661, 602, 3013, 1185, 519, 2696, 3766, 1508, 1318, 543, 10279, 547, 4228, 2066, 519, 11782, 267, 1305, 540, 2093, 1031, 547, 17854, 1977, 7269, 538, 519, 476, 7277, 271, 338, 454, 273, 269, 589, 3661, 602, 10645, 2804, 13766, 267, 513, 991, 585, 3084, 3354, 543, 513, 24134, 540, 519, 4743, 270, 13905, 540, 1373, 7292, 27166, 267, 0, 7069, 2186, 1120, 691, 2996, 723, 1044, 2324, 2182, 693, 9301, 4098, 4992, 538, 1913, 269, 594, 4312, 1044, 1210, 519, 1739, 1187, 543, 3078, 2238, 547, 948, 1250, 1453, 1451, 713, 9157, 1523, 912, 1607, 3014, 568, 1572, 1975, 514, 8584, 8862, 867, 22073, 16319, 9990, 269, 1703, 616, 3756, 585, 782, 519, 19283, 1218, 4849, 2473, 269, 634, 1453, 8095, 519, 8095, 1676, 543, 723, 547, 1265, 513, 2262, 602, 5956, 609, 519, 4484, 838, 684, 269, 634, 4267, 616, 593, 519, 1394, 267, 1818, 621, 1582, 10992, 269, 1677, 1224, 811, 827, 1250, 1975, 514, 8584, 8862, 867, 10632, 267, 4945, 1934, 563, 5445, 2731, 10150, 1818, 891, 4098, 4992, 31750, 689, 519, 16805, 700, 573, 807, 25906, 563, 296, 723, 873, 782, 2336, 7069, 2186, 619, 616, 2324, 593, 713, 9904, 1433, 563, 2005, 10905, 4098, 4992, 543, 13002, 2259, 267, 547, 1655, 11694, 938, 942, 269, 901, 9904, 1433, 4422, 609, 10793, 19134, 2006, 781, 5152, 4804, 14594, 16319, 269, 13966, 609, 713, 1433, 267, 1250, 1053, 616, 849, 11264, 824, 2238, 689, 1250, 4804, 14594, 16319, 3640, 269, 901, 5152, 568, 513, 5172, 540, 1250, 1053, 543, 649, 666, 1405, 979, 513, 1554, 1510, 13465, 621, 256, 1284, 1256, 723, 20036, 1688, 20517, 547, 979, 609, 621, 563, 296, 1175, 2813, 513, 3619, 12551, 10794, 1759, 593, 713, 5152, 267, 1932, 2336, 7883, 12551, 568, 2141, 513, 10178, 5172, 538, 1250, 4928, 256, 1677, 1404, 713, 3014, 267, 1053, 786, 6474, 519, 4605, 609, 922, 4098, 3280, 269, 2290, 2427, 540, 519, 6486, 814, 1175, 519, 4605, 543, 519, 824, 2427, 814, 519, 4098, 3280, 269, 901, 3014, 849, 2501, 609, 513, 12805, 3854, 5022, 547, 2539, 2013, 5022, 4528, 563, 26589, 609, 4098, 4992, 2259, 267, 1250, 2186, 1120, 691, 2996, 723, 849, 1044, 1565, 930, 8289, 1913, 269, 1358, 4312, 1044, 11981, 1250, 15206, 4260, 7958, 22054, 10658, 26072, 269, 1411, 666, 1224, 1250, 5816, 2022, 827, 519, 4845, 13410, 1934, 269, 594, 849, 2813, 891, 8289, 2262, 2259, 3817, 267, 602, 979, 2059, 609, 4260, 7958, 563, 1607, 8342, 2060, 590, 697, 9293, 2534, 3640, 267, 3568, 476, 274, 1114, 2238, 602, 616, 1142, 13042, 609, 519, 3992, 2338, 547, 948, 596, 3251, 6896, 269, 634, 2534, 9212, 4268, 538, 7411, 865, 596, 666, 3362, 16174, 707, 4245, 563, 29493, 1154, 543, 717, 1663, 532, 454, 29493, 1154, 267, 717, 1663, 532, 267, 543, 5675, 454, 2467, 568, 849, 513, 4845, 1603, 10959, 267, 607, 1134, 563, 296, 4126, 596, 10150, 2542, 827, 930, 540, 519, 2238, 1250, 2186, 1120, 691, 2996, 723, 1044, 3257, 256, 0, 24342, 15907, 519, 5680, 585, 667, 23677, 454, 12988, 547, 519, 667, 23677, 2012, 2985, 454, 291, 23677, 568, 519, 4158, 652, 3942, 540, 1000, 559, 697, 538, 519, 10543, 269, 4438, 2038, 547, 13591, 5933, 540, 1000, 559, 697, 267, 972, 949, 581, 2614, 1769, 538, 519, 6607, 896, 2312, 1606, 5652, 2175, 547, 1224, 13964, 1510, 5841, 26149, 563, 763, 667, 639, 5652, 2782, 321, 2401, 630, 303, 1506, 961, 8113, 22455, 535, 19895, 9850, 264, 568, 513, 6978, 2112, 321, 2401, 799, 14981, 538, 7532, 5607, 269, 901, 2112, 321, 2401, 568, 9244, 27436, 543, 24475, 538, 22703, 5607, 563, 763, 667, 639, 5652, 28202, 2313, 630, 307, 6324, 639, 552, 684, 558, 639, 264, 568, 513, 4759, 540, 519, 4278, 2313, 1920, 5695, 323, 13160, 799, 14981, 7532, 2072, 689, 3844, 27584, 4997, 563, 763, 546, 639, 5652, 18107, 514, 630, 299, 10402, 528, 1506, 333, 577, 639, 2116, 2017, 639, 264, 568, 513, 18107, 514, 1336, 538, 9381, 7297, 538, 519, 8828, 25955, 563, 763, 667, 639, 5652, 7935, 322, 1228, 630, 25721, 877, 320, 1121, 20811, 264, 568, 513, 26615, 540, 519, 1920, 3143, 9822, 13160, 269, 898, 568, 7856, 2429, 2342, 543, 11894, 267, 8151, 2066, 519, 6022, 792, 8157, 10357, 29773, 547, 27584, 4997, 267, 2494, 577, 22202, 543, 3567, 269, 0, 3451, 4458, 6040, 1325, 758, 631, 880, 571, 814, 513, 590, 3415, 18074, 13561, 31748, 538, 1010, 1688, 269, 1261, 2798, 693, 922, 7828, 543, 12134, 267, 834, 1432, 568, 713, 1572, 8119, 589, 669, 11501, 540, 834, 331, 839, 257, 25361, 519, 4928, 269, 1261, 1287, 7575, 519, 8254, 2427, 1811, 269, 968, 1432, 568, 713, 1572, 286, 2223, 646, 12134, 269, 7754, 940, 267, 3081, 519, 1362, 563, 763, 4055, 568, 4904, 609, 513, 19619, 540, 827, 476, 1839, 1453, 267, 3368, 540, 873, 8695, 269, 1358, 616, 9361, 538, 1937, 2993, 781, 808, 2465, 7079, 5842, 560, 3873, 3427, 543, 616, 1934, 547, 1451, 519, 9238, 540, 8254, 2553, 543, 1650, 2389, 2454, 269, 1358, 4866, 547, 519, 1937, 2993, 918, 10008, 342, 3385, 1793, 4548, 563, 763, 6821, 540, 519, 4055, 616, 25549, 890, 778, 269, 898, 814, 513, 1507, 7484, 4580, 538, 922, 1318, 7944, 269, 1809, 1018, 6763, 856, 568, 519, 476, 5655, 20878, 7641, 9361, 1318, 1141, 519, 3109, 4580, 2356, 568, 563, 6546, 781, 1317, 713, 568, 1100, 8723, 1362, 269, 634, 1053, 616, 1373, 8036, 538, 8254, 543, 1650, 2389, 2454, 2553, 607, 851, 540, 513, 476, 275, 6377, 17489, 13186, 22555, 676, 3131, 1061, 24436, 269, 1656, 4352, 519, 1445, 936, 891, 2185, 2395, 568, 2469, 547, 581, 3069, 267, 519, 1544, 568, 547, 2110, 2000, 626, 519, 1655, 1650, 2856, 543, 1205, 519, 3214, 547, 1118, 513, 4670, 782, 676, 2933, 269, 1358, 786, 9496, 543, 957, 538, 621, 269, 634, 2856, 786, 581, 6074, 689, 519, 2984, 519, 3214, 616, 1603, 607, 513, 4990, 6361, 7084, 585, 519, 1362, 563, 300, 880, 571, 267, 11300, 15440, 693, 3131, 1061, 24436, 267, 3081, 267, 968, 2171, 4941, 547, 2285, 519, 3214, 689, 713, 31324, 540, 2486, 519, 4316, 547, 2263, 1018, 789, 666, 2731, 798, 269, 594, 1810, 1405, 1616, 547, 6003, 873, 607, 896, 1440, 643, 850, 3022, 269, 1358, 616, 711, 896, 1440, 643, 850, 3022, 269, 1284, 1810, 1405, 2285, 873, 519, 1318, 4316, 547, 2097, 593, 1612, 609, 3214, 689, 824, 31324, 540, 2486, 269, 1703, 568, 7130, 3034, 3891, 3081, 646, 543, 1010, 7525, 9120, 538, 519, 2754, 3357, 909, 609, 519, 2856, 540, 1210, 519, 8254, 547, 948, 7668, 1793, 636, 3214, 563, 14881, 1185, 2760, 2938, 971, 513, 8254, 1354, 2223, 3081, 476, 1724, 4458, 6040, 4210, 777, 333, 559, 1323, 21186, 331, 22894, 267, 945, 568, 9849, 513, 4158, 4544, 5538, 338, 518, 543, 513, 3043, 25099, 269, 1323, 21186, 331, 22894, 781, 9599, 3068, 568, 607, 6505, 607, 519, 2699, 512, 11986, 593, 1010, 30432, 269, 1261, 15055, 4947, 547, 519, 1362, 547, 1451, 519, 2553, 563, 4322, 3214, 723, 2097, 547, 519, 13186, 538, 19220, 540, 621, 1373, 513, 9702, 267, 19962, 547, 519, 10026, 630, 9526, 532, 264, 11400, 269, 13575, 267, 789, 7390, 519, 13186, 585, 827, 476, 273, 3108, 1310, 741, 1153, 7475, 693, 476, 1321, 269, 1789, 10681, 563, 12663, 891, 2553, 581, 540, 1022, 948, 286, 968, 8133, 267, 649, 666, 1631, 1589, 540, 10024, 519, 4670, 1899, 2223, 3081, 476, 1724, 4458, 6040, 12891, 880, 808, 836, 600, 267, 4171, 3993, 23619, 669, 777, 15384, 585, 513, 2713, 269, 3571, 4651, 646, 3081, 267, 834, 1348, 338, 16051, 6652, 4799, 3891, 568, 711, 519, 1152, 2875, 945, 9909, 540, 513, 4876, 5473, 519, 8254, 543, 1650, 2389, 2454, 269, 476, 1691, 4458, 6040, 918, 10095, 14088, 3081, 1352, 666, 1631, 1831, 513, 27680, 563, 300, 880, 571, 3081, 602, 593, 519, 1101, 1554, 540, 519, 13186, 267, 950, 646, 1185, 4280, 873, 2055, 827, 741, 4876, 4566, 267, 972, 7012, 1405, 1454, 3210, 269, 968, 4002, 519, 2034, 1554, 540, 519, 13186, 267, 594, 5143, 873, 875, 519, 8254, 666, 581, 1031, 585, 3377, 3766, 1430, 532, 267, 585, 2083, 2719, 1256, 1919, 971, 607, 12311, 26204, 269, 1656, 1287, 513, 8004, 1767, 594, 1616, 547, 581, 513, 19784, 269, 1284, 1175, 723, 547, 2285, 873, 3255, 269, 4634, 24385, 531, 2115, 513, 16455, 269, 1358, 849, 991, 2576, 547, 3391, 873, 269, 634, 1034, 1271, 3364, 568, 547, 1205, 873, 547, 1376, 18468, 538, 2933, 543, 581, 8746, 1848, 0, 314, 25924, 316, 1280, 2564, 5301, 267, 964, 31731, 1436, 568, 513, 1505, 547, 2569, 610, 9004, 606, 11248, 26141, 2942, 5114, 547, 513, 6219, 610, 17003, 269, 1280, 1383, 267, 952, 513, 1268, 609, 3987, 22577, 814, 513, 3983, 13027, 5114, 547, 2921, 513, 2407, 9570, 540, 14132, 7378, 267, 519, 4387, 3947, 519, 1268, 513, 2357, 2483, 28062, 1566, 5291, 2517, 523, 25769, 3820, 28293, 270, 5327, 31731, 1436, 318, 263, 25924, 994, 314, 17595, 1108, 316, 12292, 666, 849, 581, 964, 31731, 1242, 547, 741, 7787, 610, 19450, 12194, 269, 589, 5198, 7504, 945, 12194, 519, 4358, 10766, 666, 581, 964, 31731, 1242, 547, 519, 31604, 2609, 630, 1492, 1212, 752, 540, 519, 10766, 267, 519, 4358, 11350, 267, 519, 20583, 2230, 264, 835, 693, 513, 942, 267, 538, 1507, 13066, 610, 693, 513, 3845, 269, 22110, 1696, 620, 19601, 28062, 1566, 5291, 2517, 523, 25769, 3820, 28293, 270, 5327, 31731, 1436, 318, 263, 17595, 1108, 994, 314, 974, 548, 20664, 316, 1280, 26313 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1656, 972, 616, 1079, 2101, 2010, 540, 530, 24548, 12077, 267, 10434, 2264, 654, 24548, 543, 12229, 654, 24548, 563, 2467, 616, 824, 1016, 11665, 5874, 607, 1134, 899, 16510, 654, 24548, 267, 5794, 8566, 11474, 654, 24548, 267, 31654, 617, 658, 654, 24548, 267, 3092, 269, 855, 538, 713, 2376, 267, 649, 786, 6615, 938, 6476, 547, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 563, 21156, 540, 1210, 2228, 9467, 5867, 585, 19116, 267, 513, 23129, 568, 519, 32343, 1747, 547, 3180, 3059, 7221, 269, 5221, 519, 15170, 2872, 568, 7925, 547, 6880, 6937, 267, 7446, 513, 22973, 543, 5150, 3760, 568, 2629, 269, 1358, 1522, 849, 2303, 596, 946, 3791, 18407, 530, 24548, 952, 1880, 5867, 616, 8572, 547, 1489, 741, 23129, 563, 268, 476, 272, 269, 9978, 4197, 540, 530, 24548, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 268, 476, 273, 269, 8232, 17972, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 268, 476, 274, 269, 661, 848, 540, 2422, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 268, 476, 275, 269, 8081, 539, 4354, 11750, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 268, 476, 276, 269, 7982, 1575, 543, 10163, 648, 17972, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 268, 476, 277, 269, 12313, 543, 8779, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 268, 476, 278, 269, 5800, 1464, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 268, 645, 18847, 7412, 281, 12229, 654, 24548, 25966, 10434, 2264, 654, 24548, 454, 272, 269, 9978, 4197, 540, 530, 24548, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 26773, 2264, 15170, 530, 24548, 3277, 547, 607, 4411, 530, 24548, 538, 519, 2361, 540, 3059, 7221, 269, 12019, 4859, 530, 24548, 666, 1832, 519, 7221, 538, 519, 2168, 3457, 267, 1510, 519, 991, 585, 2228, 13763, 563, 5825, 619, 666, 1832, 741, 7221, 5150, 22356, 609, 519, 3498, 8704, 593, 8800, 530, 24548, 269, 634, 23129, 1152, 14998, 1569, 3842, 513, 4357, 1883, 950, 519, 3926, 13462, 547, 519, 1292, 2780, 1062, 610, 3926, 563, 7712, 519, 7221, 616, 711, 6854, 593, 1022, 4950, 13763, 855, 2864, 593, 22356, 4859, 267, 6880, 3430, 2931, 6175, 269, 2667, 1115, 6740, 538, 713, 6073, 616, 2484, 811, 5150, 1317, 513, 3791, 5428, 3112, 1569, 873, 2228, 267, 2523, 952, 789, 3668, 513, 5728, 1883, 563, 288, 8800, 23129, 23352, 1022, 1761, 585, 513, 3791, 5428, 547, 1852, 8852, 543, 4309, 1569, 547, 519, 3593, 779, 11834, 1686, 563, 14300, 540, 2442, 10434, 2264, 654, 24548, 454, 6944, 2858, 5944, 267, 3156, 585, 3301, 530, 24548, 666, 581, 22434, 593, 11436, 543, 824, 5769, 268, 8588, 3457, 269, 31427, 9520, 666, 4558, 741, 11113, 543, 21797, 538, 835, 1747, 609, 519, 948, 540, 15170, 3301, 530, 24548, 563, 5445, 616, 2147, 547, 875, 519, 4871, 2272, 3947, 596, 1569, 547, 9806, 543, 23831, 2472, 269, 12229, 530, 24548, 4749, 849, 1450, 3755, 547, 6718, 267, 23396, 267, 22937, 267, 543, 7118, 15170, 563, 763, 3301, 3498, 814, 513, 3551, 3593, 8818, 267, 543, 1152, 519, 1268, 609, 1010, 4357, 10569, 949, 1569, 621, 269, 12229, 530, 24548, 616, 513, 4990, 540, 3059, 23129, 602, 949, 4558, 782, 540, 707, 1239, 543, 8852, 593, 513, 5985, 3926, 563, 2252, 596, 3765, 2897, 707, 23129, 779, 4357, 10569, 267, 3478, 1569, 547, 2228, 530, 24548, 568, 711, 1932, 2352, 547, 798, 269, 2659, 3024, 1963, 616, 6854, 5150, 689, 3354, 23563, 7064, 547, 519, 1079, 9912, 19027, 1184, 543, 782, 519, 5728, 10569, 563, 25413, 2264, 654, 24548, 5288, 16510, 654, 24548, 454, 2750, 4219, 654, 24548, 616, 513, 1016, 11665, 2305, 540, 12229, 654, 24548, 855, 616, 811, 7925, 547, 3478, 11360, 539, 563, 1103, 2241, 2474, 267, 16510, 654, 24548, 616, 519, 530, 24548, 602, 596, 1294, 593, 782, 519, 1401, 577, 5190, 899, 645, 12099, 267, 918, 1075, 7765, 267, 3092, 269, 1717, 267, 936, 942, 1401, 577, 5190, 723, 3323, 1210, 513, 4999, 540, 1312, 12229, 543, 10434, 2264, 654, 24548, 602, 3947, 596, 1390, 3354, 547, 9520, 685, 7482, 563, 14300, 540, 15822, 16510, 654, 24548, 616, 912, 763, 9893, 779, 3301, 3091, 519, 5207, 1377, 540, 4027, 585, 3593, 1239, 543, 7834, 563, 763, 5354, 540, 15377, 1683, 1863, 3301, 23129, 946, 267, 543, 596, 666, 3442, 1063, 513, 18799, 23129, 543, 513, 1582, 2275, 755, 1328, 23129, 563, 290, 7973, 334, 3755, 666, 4483, 267, 4309, 267, 543, 4558, 3059, 7221, 543, 19728, 1210, 3301, 21888, 530, 24548, 269, 589, 3593, 568, 3927, 2870, 606, 2272, 585, 513, 15170, 23129, 540, 519, 6074, 11777, 11305, 7973, 9242, 6275, 2899, 646, 23297, 513, 21888, 3760, 610, 5385, 547, 11677, 8852, 936, 519, 21888, 2344, 563, 14300, 540, 12229, 654, 24548, 824, 982, 16510, 654, 24548, 912, 273, 269, 8232, 17972, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 2691, 649, 2911, 827, 3059, 7221, 267, 649, 3717, 827, 7221, 602, 513, 7925, 547, 2228, 6285, 269, 25214, 267, 972, 616, 513, 1297, 540, 8320, 13296, 9520, 723, 11124, 5458, 9271, 1317, 741, 7221, 723, 1044, 21687, 563, 763, 16970, 1249, 827, 26429, 11750, 568, 602, 972, 568, 1100, 835, 945, 1131, 1256, 6432, 547, 707, 13668, 952, 707, 6589, 723, 1044, 11360, 539, 269, 4634, 952, 972, 568, 513, 973, 6847, 267, 621, 786, 1491, 9488, 3646, 547, 23074, 707, 7482, 563, 8649, 573, 782, 540, 713, 267, 1164, 5498, 2579, 31427, 530, 24548, 2490, 856, 547, 581, 1360, 2500, 269, 589, 4341, 540, 14853, 568, 602, 10434, 2264, 654, 24548, 899, 7066, 345, 528, 267, 27439, 3455, 267, 5901, 4486, 616, 811, 17956, 982, 12229, 530, 24548, 1317, 519, 17721, 10569, 616, 6740, 538, 519, 3926, 3294, 563, 32207, 958, 596, 786, 1265, 513, 2168, 1883, 593, 1142, 8800, 23129, 799, 568, 1031, 547, 2347, 513, 11834, 269, 901, 1883, 8591, 513, 4494, 540, 3354, 547, 707, 7221, 563, 7312, 17721, 1883, 568, 2838, 547, 4283, 883, 513, 11834, 543, 2094, 621, 568, 22356, 538, 707, 8800, 23129, 267, 621, 3587, 2352, 585, 621, 547, 581, 11360, 539, 563, 4002, 519, 14669, 267, 12229, 530, 24548, 899, 5450, 600, 2532, 1299, 11565, 310, 531, 2280, 616, 849, 2922, 607, 519, 4357, 1883, 568, 711, 3838, 855, 952, 649, 5635, 10434, 2264, 1299, 12229, 530, 24548, 2212, 547, 2212, 585, 3354, 1287, 10434, 2264, 654, 24548, 616, 6157, 5116, 693, 513, 1732, 10540, 1756, 563, 274, 269, 661, 848, 540, 2422, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 5194, 1271, 3815, 602, 1754, 985, 707, 2702, 547, 3442, 707, 23129, 568, 661, 848, 540, 2422, 269, 634, 3926, 610, 3498, 1058, 711, 581, 865, 2352, 547, 19022, 602, 513, 1007, 20090, 9060, 621, 2352, 547, 10146, 519, 10380, 543, 6165, 1184, 563, 1103, 713, 2543, 267, 12229, 530, 24548, 616, 9425, 2653, 547, 946, 269, 769, 513, 2428, 9917, 961, 267, 4896, 945, 568, 1134, 2613, 539, 609, 2596, 2780, 12981, 666, 3362, 7500, 513, 12229, 9546, 2280, 1510, 1454, 948, 563, 26773, 2264, 654, 24548, 10460, 513, 2370, 4161, 950, 621, 2501, 547, 5665, 543, 8848, 1005, 873, 609, 707, 24195, 610, 824, 3457, 269, 1717, 267, 609, 513, 3787, 540, 5583, 267, 4896, 666, 1451, 547, 946, 10434, 2264, 15170, 654, 24548, 1932, 563, 275, 269, 8081, 539, 4354, 11750, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 2304, 20090, 1058, 1413, 585, 513, 23129, 602, 666, 1489, 519, 5021, 1297, 540, 19728, 269, 9282, 596, 786, 711, 581, 2111, 547, 4444, 865, 1082, 19728, 267, 2705, 267, 621, 568, 1732, 547, 723, 621, 543, 711, 946, 2864, 982, 711, 723, 621, 693, 782, 563, 1607, 3815, 538, 1250, 6644, 949, 711, 581, 1360, 1271, 855, 585, 15170, 18318, 267, 621, 6157, 568, 796, 28300, 762, 563, 26773, 2264, 654, 24548, 899, 7066, 345, 528, 7028, 891, 11113, 267, 27439, 3455, 7028, 891, 563, 1103, 4334, 547, 713, 267, 12229, 530, 24548, 1489, 513, 2603, 811, 607, 789, 616, 782, 3498, 1759, 563, 18404, 600, 2532, 666, 1489, 1034, 540, 519, 21797, 593, 519, 21578, 9893, 269, 1411, 666, 2417, 19022, 621, 547, 1039, 645, 12099, 12829, 20456, 267, 12443, 12455, 8416, 267, 20653, 553, 23204, 267, 543, 865, 593, 630, 22069, 3570, 568, 711, 6462, 676, 5450, 600, 2532, 693, 1459, 267, 9520, 666, 2263, 1912, 656, 558, 585, 3752, 3570, 2861, 21797, 1040, 634, 1482, 568, 3020, 585, 11565, 310, 531, 2280, 607, 1134, 563, 276, 269, 7982, 1575, 543, 10163, 648, 17972, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 763, 19307, 543, 11177, 10342, 585, 1312, 12229, 543, 10434, 2264, 530, 24548, 616, 2147, 269, 3502, 1454, 3017, 936, 1934, 607, 1312, 2154, 596, 547, 4283, 707, 1780, 874, 19189, 547, 1205, 1569, 547, 707, 2272, 563, 296, 786, 1289, 621, 513, 17063, 1063, 10434, 2264, 543, 12229, 530, 24548, 593, 713, 7355, 563, 277, 269, 12313, 543, 8779, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 1607, 568, 1141, 972, 568, 513, 17804, 3017, 267, 519, 3902, 1448, 269, 4107, 540, 519, 12229, 654, 24548, 616, 5131, 547, 946, 1256, 950, 621, 2501, 547, 16510, 530, 24548, 269, 1809, 972, 616, 10243, 12375, 602, 596, 723, 547, 2628, 950, 596, 6223, 563, 2690, 1383, 267, 952, 596, 946, 645, 12099, 9546, 2280, 596, 786, 723, 547, 8774, 476, 271, 269, 4905, 260, 12375, 689, 707, 2272, 585, 1818, 513, 6718, 610, 9042, 563, 4002, 519, 824, 1688, 267, 10434, 2264, 654, 24548, 616, 2168, 3457, 602, 2097, 693, 513, 4086, 2406, 1164, 1942, 269, 7127, 1377, 7066, 345, 528, 1775, 4318, 269, 7066, 345, 528, 7844, 2290, 3790, 596, 1472, 1269, 7761, 543, 7127, 7400, 27439, 3455, 30594, 590, 9578, 3790, 596, 1472, 1269, 6795, 454, 278, 269, 5800, 1464, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 25413, 2264, 3457, 798, 711, 991, 513, 5094, 3926, 585, 596, 547, 960, 593, 269, 2659, 15291, 610, 5985, 6049, 568, 2614, 547, 946, 607, 513, 12229, 9546, 2280, 563, 4002, 519, 14669, 267, 513, 10434, 2264, 9546, 2280, 607, 596, 917, 568, 513, 2168, 3926, 543, 26328, 2230, 269, 10434, 2264, 9546, 2280, 17738, 899, 27439, 3455, 30594, 590, 9578, 616, 1507, 899, 513, 4050, 5397, 543, 616, 15409, 2614, 563, 289, 18847, 7412, 281, 12229, 654, 24548, 25966, 10434, 2264, 654, 24548, 454, 2005, 568, 711, 2653, 547, 3442, 1063, 12229, 654, 24548, 25966, 10434, 2264, 654, 24548, 269, 7316, 10434, 2264, 530, 24548, 2709, 811, 8232, 267, 12229, 530, 24548, 616, 2653, 547, 946, 543, 6140, 1863, 547, 946, 563, 13356, 4575, 2390, 835, 568, 8200, 2390, 707, 10421, 269, 1403, 596, 616, 513, 911, 1457, 596, 1131, 4782, 3301, 530, 24548, 267, 1034, 4481, 5385, 530, 24548, 899, 918, 1075, 7765, 267, 13535, 11893, 267, 543, 645, 12099, 269, 1717, 267, 952, 596, 616, 513, 1279, 3856, 20090, 596, 1131, 4782, 513, 10434, 2264, 9546, 2280, 899, 27439, 3455, 610, 7066, 345, 528, 563, 9827, 267, 519, 7061, 540, 707, 5092, 666, 948, 596, 6430, 519, 2186, 540, 23129, 269, 1403, 596, 616, 8185, 16539, 538, 26429, 11750, 513, 10434, 2264, 23129, 1058, 581, 707, 6654, 3903, 269, 0, 763, 1164, 2604, 4492, 6802, 568, 606, 1898, 851, 540, 1022, 6174, 602, 3096, 17405, 610, 17088, 4492, 269, 898, 4229, 4492, 883, 519, 2599, 693, 5393, 1164, 12503, 563, 1692, 1684, 1452, 23556, 623, 7927, 4518, 888, 288, 1164, 2604, 4492, 6802, 1568, 676, 16550, 4492, 998, 1507, 9475, 1572, 1100, 26072, 269, 1452, 1100, 26072, 616, 4092, 3330, 519, 6802, 8027, 269, 1879, 519, 4492, 10596, 998, 891, 1100, 26072, 267, 621, 568, 19316, 269, 901, 13496, 5932, 513, 3196, 602, 24864, 519, 4492, 856, 540, 519, 30979, 543, 883, 519, 2599, 563, 15650, 540, 4400, 16242, 23556, 623, 7927, 454, 2467, 616, 1079, 1292, 2010, 540, 1164, 2604, 4492, 15450, 281, 2318, 12761, 543, 25916, 531, 269, 15474, 12761, 15450, 946, 16537, 976, 547, 7903, 4492, 998, 519, 1100, 26072, 269, 2578, 22989, 531, 15450, 946, 791, 25527, 547, 798, 519, 1482, 3364, 563, 19119, 540, 4635, 1452, 9537, 540, 23556, 623, 7927, 538, 14825, 12067, 10241, 454, 11947, 2604, 4492, 15450, 616, 1031, 538, 16669, 3156, 1317, 789, 1683 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5660, 1142, 824, 781, 5133, 1317, 789, 666, 12398, 2370, 538, 1455, 547, 2911, 827, 269, 769, 1931, 585, 596, 547, 723, 513, 6643, 609, 1004, 945, 1491, 519, 10723, 543, 16637, 550, 12517, 267, 594, 993, 11021, 602, 596, 2119, 3168, 693, 4984, 538, 930, 1007, 267, 811, 1179, 325, 2772, 569, 10236, 1670, 267, 2081, 602, 786, 948, 596, 5431, 602, 519, 10723, 568, 711, 513, 2243, 540, 2436, 610, 711, 649, 3494, 538, 2696, 267, 610, 950, 649, 666, 4126, 547, 856, 326, 992, 713, 1126, 880, 1102, 520, 6672, 563, 9989, 717, 753, 2709, 513, 5266, 2241, 543, 1863, 29280, 4214, 540, 968, 338, 659, 1042, 892, 2443, 821, 602, 3085, 1406, 2154, 1296, 540, 1353, 547, 1174, 888, 24493, 717, 753, 262, 19795, 267, 519, 10723, 568, 1945, 649, 1995, 538, 519, 1576, 540, 513, 18497, 2680, 282, 621, 568, 711, 538, 519, 1101, 1747, 513, 1523, 269, 717, 753, 3622, 14753, 540, 519, 1995, 538, 2474, 540, 519, 1219, 518, 1537, 540, 5208, 610, 519, 1219, 518, 1042, 3261, 566, 540, 606, 1843, 540, 3838, 7287, 269, 634, 10723, 568, 711, 3833, 519, 1482, 607, 519, 1713, 543, 865, 1281, 711, 22937, 3294, 547, 513, 834, 16451, 29280, 4214, 2668, 717, 753, 568, 711, 3843, 547, 4020, 513, 21042, 9713, 1062, 1141, 1913, 616, 2016, 5730, 8847, 269, 1548, 568, 1271, 538, 1010, 1259, 540, 3206, 568, 547, 1353, 875, 1913, 616, 1031, 538, 606, 3801, 547, 7413, 910, 2569, 11991, 10054, 910, 938, 1620, 540, 1018, 568, 2556, 585, 3425, 547, 723, 513, 12300, 2680, 610, 1995, 563, 9767, 4076, 6035, 1079, 2009, 24300, 540, 1141, 519, 1007, 1106, 540, 1514, 1931, 3357, 689, 269, 6904, 835, 568, 16523, 286, 901, 4667, 547, 803, 606, 1271, 1448, 267, 1317, 938, 10182, 4724, 602, 968, 845, 540, 1514, 1931, 892, 786, 581, 32753, 1114, 2687, 547, 938, 2070, 540, 922, 8129, 267, 543, 519, 1514, 6286, 616, 26832, 563, 16927, 1810, 1405, 1589, 519, 6286, 616, 693, 782, 26832, 2899, 596, 9772, 1250, 2186, 540, 10236, 1670, 5133, 269, 594, 4043, 547, 581, 513, 519, 626, 1498, 594, 723, 547, 960, 693, 621, 538, 519, 2631, 602, 594, 993, 3222, 875, 606, 1995, 270, 935, 4003, 540, 519, 10143, 568, 513, 683, 806, 776, 851, 540, 1373, 1480, 267, 540, 4687, 609, 1866, 10207, 593, 799, 649, 1219, 518, 938, 3838, 4390, 585, 5208, 269, 769, 824, 1913, 267, 3661, 538, 2696, 568, 711, 2731, 519, 3903, 269, 898, 568, 811, 513, 2243, 540, 1018, 568, 2696, 267, 607, 2484, 607, 3425, 666, 917, 269, 7102, 3118, 267, 10700, 2055, 540, 875, 1454, 2696, 568, 513, 1480, 5137, 543, 875, 1454, 513, 840, 8410, 1288, 585, 8103, 666, 581, 15741, 9643, 543, 1810, 1405, 3313, 538, 1022, 1259, 594, 993, 3222, 875, 594, 2992, 593, 19795, 267, 2486, 267, 6214, 267, 2528, 267, 3092, 269, 1548, 621, 5540, 5310, 568, 811, 835, 781, 22026, 585, 21245, 3527, 538, 1434, 5132, 267, 610, 835, 781, 18515, 547, 4497, 538, 519, 2556, 960, 540, 11755, 11721, 28216, 995, 3206, 563, 1432, 798, 596, 1589, 540, 681, 773, 742, 779, 968, 684, 1664, 569, 796, 531, 614, 762, 9495, 1772, 972, 971, 606, 3662, 888, 7304, 773, 742, 4667, 547, 581, 6158, 827, 519, 1995, 540, 3909, 31249, 344, 267, 538, 799, 5108, 1310, 5108, 2132, 547, 3314, 15713, 2621, 267, 15646, 9629, 725, 267, 543, 6650, 2510, 538, 1454, 519, 1482, 1259, 269, 1261, 1100, 8969, 814, 1454, 547, 4001, 721, 827, 1018, 621, 1797, 547, 2661, 538, 513, 3838, 26315, 2066, 942, 269, 1717, 267, 713, 1620, 540, 519, 10723, 1281, 711, 2272, 585, 782, 2009, 2833, 540, 519, 10723, 269, 1703, 616, 16712, 3029, 540, 519, 10723, 267, 540, 519, 2833, 540, 938, 7287, 1373, 8195, 13631, 543, 1219, 518, 1042, 538, 2870, 1931, 267, 971, 607, 519, 1949, 538, 799, 7082, 2486, 13333, 563, 3891, 729, 4280, 827, 519, 4719, 8129, 540, 630, 1410, 5477, 264, 32270, 543, 14452, 602, 827, 476, 1789, 260, 540, 8390, 538, 4638, 10066, 666, 581, 20039, 585, 676, 6090, 269, 1261, 4769, 1406, 2736, 1524, 519, 824, 476, 3583, 14999, 16927, 723, 1100, 8969, 602, 649, 616, 782, 4535, 609, 513, 1978, 2186, 540, 1367, 2470, 610, 7209, 4171, 17830, 568, 2907, 4646, 269, 1656, 267, 4470, 593, 519, 3140, 610, 1514, 2796, 883, 799, 649, 616, 4535, 267, 713, 786, 4043, 547, 1404, 856, 538, 1585, 2081, 543, 711, 1866, 269, 1809, 621, 4667, 547, 581, 14902, 762, 547, 1589, 835, 666, 2736, 1524, 4638, 10066, 676, 21159, 883, 922, 4719, 543, 824, 3334, 269, 634, 2009, 2081, 540, 1373, 1480, 616, 7361, 3140, 538, 2470, 267, 543, 1022, 3801, 547, 2569, 891, 547, 4719, 2188, 602, 27581, 7500, 1454, 519, 1482, 2476, 2066, 942, 4667, 547, 803, 513, 3014, 1152, 585, 1346, 945, 723, 2370, 6161, 585, 875, 7287, 568, 4121, 538, 519, 6389, 540, 1875, 2173, 1468, 2528, 563, 295, 558, 18400, 338, 685, 1007, 1922, 895, 2631, 540, 2933, 607, 513, 1895, 609, 513, 2797, 16786, 568, 4440, 513, 1267, 540, 519, 20655, 543, 7130, 602, 789, 4076, 5185, 936, 519, 1296, 269, 1656, 2943, 267, 972, 568, 711, 1175, 835, 16786, 610, 835, 1995, 267, 855, 1082, 454, 6361, 1576, 267, 519, 3801, 547, 2569, 14920, 547, 1022, 3044, 1995, 568, 513, 18174, 781, 3014, 269, 898, 568, 513, 3903, 543, 649, 3112, 1917, 1055, 19163, 827, 621, 607, 971, 585, 782, 5079, 723, 1514, 6286, 269, 1411, 917, 267, 835, 540, 519, 4277, 1919, 827, 6408, 776, 6214, 568, 602, 1454, 15594, 2219, 2221, 4422, 856, 540, 922, 1259, 547, 20912, 602, 972, 568, 1022, 1898, 3017, 1063, 2367, 543, 2021, 267, 1247, 519, 5767, 834, 4302, 518, 257, 16809, 4422, 856, 540, 922, 1259, 547, 31274, 593, 930, 1898, 6211, 3017, 269, 1809, 713, 28365, 3017, 1063, 8706, 1235, 543, 6446, 619, 4667, 547, 803, 7361, 31544, 910, 711, 1759, 593, 513, 17396, 19795, 910, 1369, 513, 1455, 1884, 514, 558, 1014, 1143, 269, 1548, 1770, 525, 873, 568, 513, 24677, 602, 649, 723, 547, 3442, 547, 2661, 2687, 547, 835, 610, 1776, 1305, 540, 3838, 1514, 8155, 267, 543, 594, 1589, 602, 568, 606, 5470, 563, 7617, 4991, 721, 547, 713, 281, 901, 568, 2469, 547, 2154, 1857, 2069, 543, 3586, 23106, 602, 519, 5686, 540, 521, 1633, 619, 649, 4076, 14578, 4862, 689, 1857, 5515, 899, 16500, 616, 856, 540, 23451, 563, 16927, 1810, 1405, 1589, 16500, 568, 521, 1633, 1359, 28305, 7606, 950, 646, 3081, 602, 32270, 5012, 547, 476, 1571, 899, 4965, 610, 11980, 269, 13298, 646, 568, 5356, 606, 7664, 267, 3181, 23534, 267, 540, 1978, 28507, 21274, 269, 1306, 519, 1650, 540, 519, 834, 305, 664, 11312, 2657, 29663, 257, 594, 5532, 538, 519, 824, 2022, 2982, 267, 28305, 15628, 267, 950, 789, 1589, 621, 568, 568, 538, 741, 1719, 267, 849, 16153, 602, 972, 568, 513, 9756, 1063, 4630, 334, 1410, 7081, 543, 2362, 3928, 540, 4965, 543, 11980, 269, 3767, 267, 25401, 267, 952, 649, 3398, 713, 9756, 621, 1590, 581, 602, 2901, 1004, 811, 20916, 547, 1831, 20158, 610, 29047, 2490, 547, 32270, 610, 32270, 5012, 547, 2790, 4576, 811, 1419, 982, 609, 834, 14259, 697, 257, 1004, 267, 610, 1312, 563, 1607, 5012, 721, 883, 513, 4901, 594, 1175, 1810, 1405, 723, 519, 942, 610, 1648, 547, 2253, 1318, 1631, 269, 7439, 798, 594, 1589, 649, 723, 513, 1318, 547, 20818, 593, 16500, 547, 971, 606, 6708, 269, 594, 2303, 952, 596, 1616, 547, 3136, 713, 543, 1174, 1946, 1775, 1589, 519, 12666, 23381, 602, 649, 1058, 1175, 2661, 834, 26421, 547, 1010, 1378, 257, 910, 1510, 21108, 1978, 8155, 543, 3843, 547, 6460, 1866, 547, 938, 8155, 910, 3085, 1405, 960, 267, 649, 798, 621, 693, 930, 1448, 538, 519, 2104, 950, 594, 6415, 1447, 11112, 267, 543, 3842, 4757, 281, 18078, 17106, 11333, 3820, 454, 328, 2731, 991, 547, 7390, 547, 930, 824, 6927, 585, 519, 1985, 1906, 2395, 693, 2547, 269, 1655, 2676, 12148, 701, 619, 267, 596, 723, 4440, 9896, 1055, 519, 4901, 267, 855, 594, 3580, 1039, 713, 585, 4896, 945, 4523, 547, 1869, 581, 1739, 621, 912, 7312, 5114, 547, 519, 3621, 2963, 602, 594, 6035, 827, 519, 4719, 543, 17441, 3123, 540, 32270, 729, 602, 621, 729, 968, 331, 2795, 762, 1848, 1809, 596, 1705, 711, 2709, 1022, 4831, 2963, 543, 3079, 1152, 6829, 513, 2123, 6644, 602, 596, 1705, 711, 1256, 21898, 547, 1489, 609, 606, 4661, 269, 594, 6557, 2141, 3144, 676, 9983, 950, 4896, 1175, 968, 323, 1143, 1170, 525, 892, 2257, 538, 713, 1259, 267, 2523, 1317, 594, 917, 875, 16496, 602, 14962, 531, 1590, 581, 538, 513, 1158, 971, 607, 23600, 563, 2005, 949, 581, 3020, 602, 972, 568, 513, 2362, 2557, 540, 4965, 543, 11980, 1851, 14447, 9038, 538, 2489, 269, 594, 917, 585, 513, 1249, 602, 519, 11980, 3928, 1851, 14447, 12322, 616, 15372, 5944, 1164, 269, 901, 568, 711, 693, 782, 9670, 267, 6236, 519, 2126, 789, 4309, 269, 1358, 616, 711, 1175, 968, 2452, 532, 519, 6408, 1848, 1358, 616, 9601, 269, 1215, 666, 4896, 945, 14509, 519, 3232, 11356, 27642, 711, 547, 917, 713, 286, 1684, 596, 711, 917, 875, 14447, 30963, 6107, 616, 5701, 286, 2107, 875, 14447, 6107, 538, 4909, 626, 543, 7826, 5321, 2429, 713, 2197, 616, 695, 684, 2740, 543, 2322, 883, 968, 1492, 2805, 2223, 799, 811, 1419, 982, 711, 11479, 873, 2417, 883, 4965, 286, 9894, 596, 711, 1224, 5063, 827, 519, 1164, 1153, 1596, 602, 729, 23545, 539, 538, 14967, 1317, 513, 4775, 2875, 4941, 547, 3142, 1776, 8004, 609, 1200, 286, 1215, 798, 596, 1589, 971, 695, 7342, 1522, 723, 4299, 891, 1079, 1762, 7606, 888, 3719, 596, 9959, 602, 267, 968, 8421, 1227, 2223, 972, 666, 581, 1152, 1079, 4128, 585, 891, 2362, 3928, 540, 11980, 543, 4965, 269, 634, 1101, 568, 602, 20158, 1004, 2490, 547, 32270, 267, 543, 519, 2034, 568, 602, 32270, 5012, 547, 2790, 4576, 269, 630, 763, 1101, 540, 891, 267, 594, 1095, 2541, 267, 568, 513, 12235, 268, 12537, 286, 994, 7312, 3932, 5337, 2803, 2139, 2963, 543, 12346, 1932, 8185, 593, 7954, 12544, 7954, 602, 267, 538, 713, 2013, 267, 568, 3170, 958, 30096, 269, 6333, 585, 1383, 519, 1249, 602, 30963, 2021, 630, 14259, 697, 3283, 264, 946, 31520, 2484, 811, 982, 824, 2021, 538, 713, 2197, 269, 1215, 616, 649, 547, 2491, 713, 286, 1403, 972, 941, 711, 17542, 540, 1875, 5336, 768, 517, 2021, 609, 7247, 547, 5635, 873, 267, 649, 1522, 9959, 602, 1373, 513, 4807, 3123, 4965, 269, 1809, 713, 568, 21494, 563, 763, 2626, 568, 6654, 281, 30963, 2021, 946, 4550, 31398, 816, 1218, 693, 513, 2362, 2557, 1317, 540, 519, 1259, 789, 616, 5701, 269, 634, 1966, 538, 741, 2013, 568, 513, 3978, 19261, 540, 1379, 538, 3347, 543, 513, 2530, 540, 1852, 936, 741, 1378, 2729, 563, 7775, 2015, 519, 2362, 3928, 540, 5208, 543, 3075, 946, 1851, 3109, 6107, 538, 713, 2197, 269, 14348, 596, 9959, 602, 1373, 3109, 968, 8619, 4926, 892, 891, 2042, 286, 594, 1131, 4126, 711, 269, 1411, 949, 2626, 602, 32270, 267, 7429, 5198, 267, 568, 513, 6074, 3961, 269, 1809, 594, 1131, 267, 2899, 1586, 267, 1448, 596, 547, 519, 1804, 1560, 540, 3621, 2963, 602, 3081, 6382, 269, 2659, 14962, 531, 540, 602, 2963, 1281, 4986, 547, 1118, 621, 979, 2476, 563, 5415, 3978, 3029, 540, 2192, 2389, 13015, 267, 1519, 695, 7342, 267, 588, 25634, 1436, 267, 18275, 267, 7130, 267, 11648, 267, 2168, 14213, 338, 267, 543, 23948, 725, 666, 849, 2014, 4965, 543, 1256, 5397, 1004, 547, 11980, 269, 901, 568, 1175, 5369, 476, 6200, 267, 543, 621, 849, 4523, 547, 581, 1455, 1702, 563, 763, 2070, 602, 1004, 3479, 11980, 1152, 1317, 972, 568, 1945, 4636, 609, 873, 568, 711, 1152, 5667, 2615, 881, 855, 26704, 538, 519, 12852, 731, 1014, 2631, 269, 634, 6408, 1590, 581, 9228, 607, 16944, 563, 3719, 594, 666, 2995, 596, 835, 3364, 585, 2386, 281, 1879, 513, 6505, 543, 16805, 476, 1724, 268, 610, 476, 1691, 4458, 6040, 6107, 862, 1080, 11980, 1317, 646, 814, 4810, 606, 11566, 2631, 540, 1010, 1378, 16203, 543, 4502, 16531, 936, 1373, 14447, 267, 1287, 1945, 538, 938, 2486, 21354, 2115, 21338, 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 ]
[ 3378, 28314, 20977, 9686, 7549, 26281, 10780, 13833, 21268, 17153, 21170, 13150, 4138, 269, 2843, 508, 4709, 11714, 9924, 16021, 4814, 15800, 17153, 16068, 25338, 4814, 19628, 24012, 15800, 10780, 5284, 379, 4814, 29652, 13833, 3522, 6459, 4586, 268, 2843, 507, 3264, 11714, 16044, 491, 4344, 21134, 18194, 3264, 6459, 3378, 2507, 910, 2843, 498, 3522, 11714, 16044, 491, 4344, 21134, 563, 7312, 4757, 2232, 786, 711, 581, 3370, 269, 22490, 4610, 616, 6825, 2608, 0, 307, 21764, 5508, 28132, 19006, 454, 299, 20235, 5463, 2888, 630, 6245, 277, 267, 476, 4572, 273, 267, 476, 4572, 274, 994, 306, 1495, 1144, 16011, 20050, 454, 5575, 15248, 661, 32642, 17619, 781, 10555, 14594, 630, 4350, 277, 994, 291, 665, 3701, 689, 10555, 6554, 1975, 344, 15051, 454, 20124, 540, 519, 20431, 566, 540, 1325, 13906, 23432, 6816, 676, 519, 1977, 4095, 11873, 630, 3422, 280, 994, 17457, 6406, 7126, 11873, 454, 292, 326, 30639, 267, 808, 269, 28423, 3767, 18830, 519, 4303, 281, 634, 19087, 6969, 519, 6406, 7126, 11873, 538, 519, 3162, 269, 30989, 10830, 267, 12135, 281, 2160, 540, 3345, 10491, 4964, 267, 476, 1960, 275, 269, 901, 13181, 3209, 2995, 519, 1650, 540, 1650, 540, 590, 719, 615, 2996, 945, 13934, 519, 3069, 540, 3043, 29686, 1354, 519, 10966, 7040, 7979, 31090, 1153, 17478, 543, 1354, 28266, 20088, 15189, 547, 21704, 1200, 10160, 593, 513, 27293, 1668, 563, 24464, 330, 691, 267, 1546, 4011, 1695, 267, 1325, 3570, 25371, 267, 543, 23514, 823, 700, 269, 7348, 267, 32308, 269, 32027, 519, 11873, 7982, 883, 6406, 7126, 9752, 281, 589, 12754, 6651, 585, 4147, 7741, 543, 18877, 269, 2136, 2276, 281, 5062, 288, 6113, 548, 24614, 267, 476, 1220, 275, 269, 901, 1433, 3568, 918, 268, 1321, 4245, 267, 3119, 2959, 267, 4116, 18759, 593, 3450, 827, 519, 2413, 6406, 7126, 11873, 267, 6965, 267, 6337, 267, 543, 3594, 547, 948, 3610, 4020, 811, 6209, 4485, 547, 713, 1974, 538, 1686, 269, 634, 13959, 3896, 3370, 676, 519, 24770, 543, 17813, 3194, 11059, 7027, 543, 9752, 585, 7827, 2882, 29433, 2326, 543, 1082, 3119, 2959, 607, 1134, 563, 28324, 928, 267, 8176, 631, 269, 543, 14088, 5682, 269, 5384, 7043, 518, 982, 681, 2100, 281, 589, 11416, 540, 3979, 1977, 2920, 13659, 267, 476, 6977, 271, 268, 4198, 271, 269, 1715, 3840, 281, 1715, 3840, 24505, 267, 476, 1220, 274, 269, 901, 1433, 6054, 519, 2039, 540, 3646, 676, 3979, 4892, 547, 8190, 519, 14767, 540, 519, 2022, 4211, 2753, 2782, 543, 25608, 543, 22919, 519, 2924, 4503, 547, 519, 3656, 17478, 543, 5208, 540, 519, 1101, 3368, 540, 519, 476, 736, 628, 2540, 563, 305, 753, 2421, 267, 22526, 269, 11875, 320, 22823, 543, 519, 4563, 15213, 11873, 281, 589, 7101, 673, 14891, 17496, 269, 30989, 10830, 267, 12135, 281, 2160, 540, 3345, 10491, 4964, 267, 476, 1220, 274, 269, 2290, 540, 519, 1082, 13085, 7580, 17024, 543, 1514, 5126, 25696, 540, 519, 476, 736, 628, 2540, 267, 11875, 320, 22823, 729, 849, 3844, 547, 1082, 540, 519, 18454, 540, 519, 2413, 6406, 7126, 11873, 267, 1519, 607, 513, 2361, 8689, 540, 519, 19364, 3722, 303, 267, 607, 519, 1101, 10324, 8689, 540, 519, 8828, 4168, 15557, 10985, 267, 543, 607, 519, 968, 326, 617, 15948, 892, 540, 519, 9906, 6348, 24825, 550, 18509, 3215, 9730, 563, 21946, 14137, 267, 32632, 681, 269, 24306, 540, 10456, 281, 12267, 540, 5029, 1944, 538, 18877, 540, 7822, 269, 5842, 12770, 281, 932, 30972, 4964, 10022, 32434, 657, 8124, 30464, 267, 476, 1220, 274, 269, 901, 1433, 6054, 930, 540, 519, 1514, 543, 7292, 5126, 9620, 540, 1977, 12075, 267, 7489, 7414, 6816, 619, 267, 21337, 270, 553, 267, 543, 3979, 4892, 538, 519, 2136, 2276, 267, 6580, 547, 1354, 519, 476, 866, 628, 2540, 563, 22826, 585, 7827, 543, 681, 996, 9722, 12140, 269, 2098, 4883, 4065, 5741, 269, 8871, 4925, 519, 946, 540, 20999, 2098, 4883, 779, 589, 4658, 779, 3778, 540, 519, 2136, 2276, 543, 824, 3119, 543, 6281, 2326, 547, 6338, 1053, 547, 513, 811, 4977, 267, 1950, 267, 543, 2502, 1620, 540, 2136, 2276, 1686, 602, 568, 1336, 538, 2757, 1686, 9499, 543, 21195, 269, 0, 5629, 519, 16167, 6707, 22983, 2342, 267, 713, 7142, 5125, 547, 31818, 811, 10136, 689, 519, 8109, 13571, 547, 519, 5375, 13571, 269, 19402, 713, 5949, 609, 20491, 3683, 331, 867, 267, 519, 28592, 17411, 519, 20015, 660, 540, 519, 4436, 2112, 4674, 269, 1358, 2604, 323, 519, 824, 16167, 547, 4323, 2342, 607, 4166, 607, 2009, 547, 8897, 741, 9271, 543, 3196, 4436, 547, 7941, 543, 14020, 922, 4229, 563, 30051, 729, 29011, 1117, 1063, 519, 28268, 543, 519, 7262, 16167, 563, 763, 28268, 729, 609, 519, 27469, 910, 789, 941, 1996, 519, 16586, 454, 763, 1292, 2475, 27469, 941, 519, 3703, 7276, 267, 519, 28268, 543, 3624, 563, 5475, 24918, 267, 5125, 729, 17204, 676, 519, 16167, 543, 5258, 269, 5101, 5125, 729, 2196, 676, 519, 28268, 630, 305, 1380, 2103, 1040, 12670, 267, 519, 3854, 267, 729, 4092, 538, 5101, 5125, 267, 855, 729, 6417, 676, 519, 28268, 543, 519, 7262, 16167, 269, 634, 12670, 3774, 729, 1628, 547, 1832, 519, 5101, 16586, 538, 8109, 12670, 689, 10024, 5375, 12670, 540, 5375, 5125, 563, 5472, 625, 1185, 547, 2011, 12740, 7727, 883, 4639, 12670, 1317, 519, 28268, 1185, 782, 9897, 3625, 12184, 269, 634, 9456, 851, 540, 519, 2749, 729, 896, 519, 1852, 540, 519, 28268, 267, 543, 519, 7262, 3148, 729, 896, 519, 1852, 540, 519, 16167, 269, 634, 28268, 12479, 602, 676, 9505, 1154, 1055, 782, 11507, 267, 519, 16167, 1131, 2490, 2698, 1852, 540, 12670, 936, 547, 873, 563, 763, 2475, 267, 28268, 267, 3624, 543, 519, 5131, 3943, 941, 519, 5177, 781, 2101, 16167, 563, 763, 1283, 2947, 16167, 538, 2622, 2782, 476, 273, 616, 519, 28268, 267, 7330, 267, 6628, 267, 4516, 543, 5245, 563, 20084, 267, 28268, 543, 5333, 454, 24433, 267, 5177, 267, 28268, 543, 5333, 454, 763, 5177, 634, 2475, 543, 519, 28268, 563, 14611, 16167, 540, 519, 2475, 941, 6628, 267, 5333, 267, 28268, 543, 3624, 563, 10303, 519, 5375, 27469, 263, 20084, 267, 24433, 267, 293, 8896, 264, 13026, 519, 5375, 3368, 540, 5125, 1247, 519, 28268, 13026, 519, 8109, 3368, 563, 4785, 267, 28268, 267, 5177, 267, 543, 5333, 454, 24433, 267, 28268, 267, 1299, 2826, 534, 454, 763, 5177, 267, 2475, 543, 519, 28268, 563, 7224, 267, 789, 941, 851, 540, 519, 16167, 4229, 454, 604, 596, 1611, 1158, 2112, 476, 273, 519, 721, 519, 5177, 606, 721, 338, 337, 1131, 581, 1806, 563, 24433, 267, 5177, 267, 543, 28268, 941, 27469, 269, 5125, 267, 7977, 543, 3567, 941, 31196, 14763, 563, 5472, 625, 910, 7330, 267, 5177, 28268, 543, 5333, 31196, 910, 5125, 267, 7977, 543, 3567, 454, 20084, 267, 28268, 267, 543, 5333, 454, 13433, 899, 28268, 267, 7330, 543, 3624, 454, 5445, 8678, 519, 16167, 950, 5125, 3323, 32415, 519, 28268, 630, 865, 341, 2884, 9769, 994, 763, 28268, 543, 519, 7330, 941, 16167, 693, 519, 942, 540, 13431, 273, 454, 4785, 17876, 729, 606, 24343, 609, 519, 7178, 267, 538, 1249, 13609, 22983, 519, 28268, 563, 4785, 17876, 267, 6628, 267, 5333, 543, 4516, 616, 519, 2462, 3283, 269, 1717, 267, 519, 7330, 941, 711, 519, 1292, 25881, 267, 789, 941, 519, 16167, 17259, 538, 269, 0, 7069, 3993, 3217, 1416, 540, 1250, 22516, 269, 2701, 779, 7255, 602, 646, 3207, 338, 811, 982, 476, 736, 3108, 513, 1554, 269, 2701, 568, 2111, 547, 1205, 1864, 909, 267, 10627, 1117, 267, 543, 883, 1010, 556, 743, 10719, 1142, 6640, 855, 646, 3592, 5612, 8813, 18069, 1586, 269, 1261, 18923, 22655, 267, 3085, 1406, 1616, 547, 2170, 609, 1200, 610, 4896, 3116, 945, 2501, 538, 547, 948, 267, 543, 3085, 1406, 1256, 4585, 8613, 15042, 269, 1215, 666, 649, 18663, 1864, 547, 3251, 25805, 543, 2170, 888, 2791, 798, 711, 2161, 875, 1279, 3516, 707, 22516, 729, 8995, 865, 621, 568, 2352, 547, 917, 1018, 3942, 540, 12110, 646, 568, 538, 269, 1403, 606, 1367, 568, 538, 519, 2663, 5933, 540, 12110, 543, 789, 723, 7930, 13175, 12008, 3476, 5712, 540, 942, 267, 621, 568, 1034, 2693, 1813, 547, 519, 11144, 540, 519, 2068, 563, 4263, 519, 2663, 3942, 540, 519, 2068, 267, 519, 3441, 547, 519, 1268, 779, 2634, 568, 3833, 3573, 4929, 873, 547, 1831, 21260, 543, 3833, 9808, 559, 269, 1548, 649, 1522, 2015, 5266, 2241, 4247, 267, 971, 607, 14379, 610, 4189, 267, 666, 581, 19039, 569, 9688, 532, 547, 519, 1268, 609, 12110, 563, 2252, 267, 2705, 267, 519, 1279, 5712, 540, 12008, 723, 3323, 10393, 267, 972, 949, 581, 1776, 2014, 971, 607, 606, 3968, 269, 2368, 6527, 666, 849, 3565, 547, 3207, 1465, 630, 656, 760, 2134, 18352, 267, 31520, 267, 4550, 7290, 26952, 1040, 12619, 532, 4713, 267, 971, 607, 3207, 19103, 630, 321, 805, 3107, 7965, 1070, 666, 849, 3565, 547, 3207, 2152, 269, 1684, 711, 19292, 547, 3346, 1010, 10629, 609, 1022, 540, 707, 4145, 563, 5278, 2010, 540, 12110, 666, 849, 1860, 3207, 3270, 269, 15706, 8995, 609, 12110, 609, 10197, 344, 4703, 723, 1360, 1964, 1652, 543, 22841, 17334, 269, 1358, 949, 1995, 10539, 267, 3781, 2742, 637, 267, 543, 26390, 5209, 269, 6184, 17410, 267, 3207, 19103, 543, 1964, 1652, 7953, 616, 849, 1455, 2589, 269, 589, 1268, 4299, 19576, 779, 2068, 949, 1419, 26968, 5944, 2048, 716, 685, 856, 741, 9909, 267, 3006, 4929, 5945, 547, 2933, 543, 5924, 741, 12008, 7649, 563, 1607, 666, 581, 9688, 532, 543, 1419, 3762, 519, 1268, 4743, 899, 789, 723, 711, 11739, 696, 693, 782, 269, 1280, 1312, 1346, 2713, 609, 10197, 344, 1560, 12110, 543, 19576, 779, 2068, 267, 9363, 25805, 1282, 519, 1554, 1310, 513, 4057, 3781, 779, 3207, 666, 581, 2352, 269, 1403, 2009, 267, 621, 568, 1655, 547, 2119, 547, 3970, 3207, 1282, 519, 1554, 547, 1507, 28377, 610, 2048, 13906, 333, 2355, 10200, 19227, 267, 519, 1268, 779, 1560, 9219, 666, 1831, 1360, 11821, 543, 713, 2306, 12008, 1134, 1282, 519, 3781, 1256, 9875, 563, 2690, 1200, 1378, 4708, 540, 2247, 267, 707, 3993, 1058, 3717, 609, 707, 22516, 779, 10629, 543, 2671, 1200, 4145, 563, 296, 1416, 585, 1250, 9393, 945, 814, 12216, 779, 2068, 269, 1772, 621, 1455, 585, 2043, 609, 12216, 779, 547, 723, 26390, 5209, 286, 1261, 8952, 6158, 827, 1453, 1373, 538, 519, 2777, 282, 938, 1453, 616, 782, 6738, 909, 543, 2661, 11992, 563, 295, 718, 1075, 5209, 616, 3989, 607, 7301, 11994, 540, 3615, 610, 2621, 5473, 519, 12823, 269, 2368, 2043, 2713, 609, 12216, 779, 2068, 543, 824, 632, 618, 5362, 949, 1294, 267, 5873, 267, 9329, 267, 610, 1745, 1945, 602, 568, 711, 972, 269, 1452, 7301, 11994, 616, 3361, 676, 2242, 1369, 519, 2634, 269, 2368, 26390, 5209, 949, 581, 31029, 547, 519, 1367, 267, 855, 1866, 666, 581, 2864, 8723, 22649, 540, 1004, 610, 3871, 563, 2252, 707, 9393, 568, 8806, 8049, 827, 519, 1453, 646, 12034, 267, 596, 1522, 15260, 675, 1864, 602, 968, 26132, 3993, 568, 593, 519, 1259, 547, 1205, 873, 1848, 1403, 646, 5526, 19225, 2989, 610, 989, 18469, 267, 2746, 9350, 569, 267, 543, 15260, 675, 1864, 602, 596, 616, 2469, 547, 2149, 1864, 269, 28528, 27012, 1010, 1394, 610, 588, 549, 6362, 1010, 3946, 949, 28570, 1010, 3007, 547, 596, 543, 2569, 519, 26390, 1588, 269, 1403, 646, 12134, 952, 596, 1294, 519, 1453, 267, 596, 666, 4431, 609, 968, 296, 917, 596, 1294, 873, 267, 855, 594, 666, 1406, 1848, 5213, 1406, 2995, 1864, 972, 568, 4986, 972, 282, 547, 1864, 267, 693, 602, 4090, 267, 789, 616, 1360, 1483, 269, 31158, 1578, 875, 621, 7959, 267, 2436, 621, 568, 14126, 267, 19225, 2989, 267, 610, 14220, 563, 8196, 19240, 282, 2303, 513, 3802, 610, 1847, 547, 1776, 4055, 282, 946, 2575, 610, 1776, 2534, 547, 31818, 1010, 3007, 269, 6744, 519, 1604, 282, 6846, 689, 8613, 1522, 581, 31495, 2181, 1540, 269, 12414, 593, 8279, 547, 2569, 20224, 282, 3382, 19141, 952, 707, 9393, 1100, 3476, 17767, 5128, 563, 29490, 1832, 1010, 10629, 8242, 593, 1022, 2242, 267, 1519, 26390, 5209, 267, 865, 602, 646, 24172, 666, 3313, 952, 6646, 568, 3617, 269, 0, 24841, 15018, 630, 10193, 4005, 532, 29421, 610, 3574, 4005, 532, 264, 6971, 519, 7509, 1543, 540, 3574, 1354, 922, 946 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27807, 20300, 3631, 666, 581, 1031, 547, 2708, 519, 1764, 540, 3609, 543, 2825, 3800, 998, 2804, 543, 2825, 10832, 269, 29760, 593, 6694, 1949, 267, 6705, 685, 3664, 538, 2474, 540, 5186, 6137, 1949, 543, 519, 2404, 7693, 2359, 693, 2361, 4336, 616, 1898, 538, 971, 2090, 269, 634, 6662, 540, 713, 1957, 568, 547, 1459, 513, 1353, 1210, 513, 6915, 20300, 2203, 547, 2708, 519, 1764, 540, 519, 21193, 3433, 6034, 633, 538, 519, 11068, 328, 6261, 344, 16867, 525, 3148, 630, 293, 8896, 264, 676, 7421, 267, 693, 519, 3484, 4336, 267, 3484, 4747, 543, 1614, 2825, 10832, 281, 24277, 30450, 267, 11761, 543, 1216, 4616, 269, 5565, 7653, 267, 519, 476, 1220, 274, 26480, 6963, 630, 21353, 5202, 9183, 264, 543, 519, 21193, 3433, 6034, 633, 630, 335, 32123, 9183, 1070, 609, 513, 476, 1001, 274, 942, 16880, 267, 941, 2919, 543, 3379, 585, 1614, 11347, 27442, 1076, 3484, 2010, 538, 519, 11068, 328, 6261, 344, 16867, 525, 3148, 269, 7756, 2010, 540, 1239, 1915, 1944, 519, 1979, 26491, 2796, 538, 519, 3148, 630, 31542, 267, 2916, 1070, 519, 1699, 5186, 6137, 1949, 630, 8527, 566, 267, 7693, 2359, 264, 543, 3484, 2200, 630, 597, 3419, 730, 2244, 267, 4074, 264, 941, 6394, 547, 26215, 622, 543, 2196, 519, 3631, 269, 11778, 4951, 602, 519, 6388, 540, 519, 21193, 3433, 6034, 633, 949, 711, 1860, 3484, 4747, 269, 1717, 267, 1713, 12381, 547, 5186, 6137, 1949, 543, 7693, 14305, 547, 3037, 2010, 941, 20533, 269, 2552, 9009, 547, 6788, 267, 9436, 30450, 693, 519, 3484, 4336, 1705, 711, 1689, 269, 15788, 1216, 4616, 2799, 543, 3037, 11761, 8519, 1813, 5631, 547, 513, 14842, 538, 5186, 6137, 3270, 543, 2359, 676, 3037, 1826, 269, 901, 1353, 2488, 606, 1383, 540, 796, 656, 4602, 730, 2360, 540, 3609, 543, 4123, 32187, 1063, 2825, 2152, 563, 268, 6694, 1949, 454, 14582, 17924, 322, 2867, 974, 267, 670, 1421, 7200, 327, 24734, 267, 918, 1421, 14562, 1180, 267, 744, 1421, 631, 712, 10620, 611, 537, 267, 594, 1421, 654, 2044, 267, 808, 1421, 8709, 898, 1562, 636, 267, 631, 269, 918, 1421, 1299, 4469, 747, 2006, 267, 717, 269, 630, 1001, 272, 1040, 30487, 519, 1764, 540, 519, 21193, 3433, 6034, 633, 593, 8105, 1949, 1210, 513, 6915, 20300, 20592, 5832, 269, 16581, 7010, 267, 476, 10441, 263, 273, 1070, 476, 13670, 268, 13970, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 698, 1910, 269, 1001, 271, 269, 6021, 269, 19740, 0, 7617, 27100, 12984, 21231, 595, 6817, 16423, 1090, 286, 2073, 634, 3693, 512, 32500, 729, 8385, 1572, 18896, 1090, 269, 570, 32500, 729, 8385, 4362, 543, 3957, 676, 16528, 10196, 8834, 654, 9567, 10623, 945, 9286, 519, 3209, 6219, 607, 18896, 1090, 924, 269, 1717, 267, 519, 3693, 729, 1336, 547, 723, 4756, 3601, 267, 799, 3366, 547, 922, 15646, 5446, 543, 8760, 607, 512, 32500, 538, 476, 9965, 274, 676, 5053, 3744, 20844, 8277, 543, 13056, 755, 334, 546, 685, 14976, 327, 8500, 541, 19403, 811, 19749, 360, 454, 1432, 1772, 16423, 1090, 4223, 11490, 320, 286, 2073, 16423, 1090, 4223, 11490, 320, 568, 16423, 1090, 781, 15713, 1587, 543, 568, 3301, 8246, 585, 2930, 7384, 267, 3621, 2792, 543, 2069, 269, 898, 814, 2919, 883, 606, 2228, 1062, 267, 4223, 11490, 320, 6732, 267, 799, 18252, 6531, 2029, 543, 568, 15095, 609, 1114, 18376, 1949, 543, 1357, 26292, 19403, 811, 19749, 360, 454, 297, 580, 10724, 347, 24836, 6143, 9484, 541, 1807, 347, 20112, 9484, 541, 1807, 30106, 514, 14409, 3267, 2073, 1280, 14241, 7777, 18175, 15665, 2030, 568, 4922, 1031, 538, 18689, 2747, 540, 5686, 540, 8407, 543, 1875, 31475, 1023, 269, 3776, 7777, 18175, 15665, 2371, 666, 581, 8904, 9668, 2030, 267, 4429, 310, 6504, 1090, 8081, 16797, 12226, 281, 1215, 798, 594, 22010, 1250, 16423, 1090, 3267, 2073, 2353, 18175, 10232, 540, 16423, 1090, 2472, 616, 2347, 19698, 543, 798, 711, 2154, 513, 3105, 4528, 547, 581, 8704, 269, 5455, 326, 15665, 707, 3301, 1152, 3340, 16459, 4429, 12895, 22670, 7626, 3021, 1807, 795, 580, 3101, 3684, 910, 737, 17383, 1030, 16988, 20580, 2073, 8605, 476, 1839, 910, 476, 2568, 3267, 795, 339, 4224, 4154, 9668, 22670, 7626, 795, 580, 3684, 269, 3267, 621, 781, 849, 3267, 22670, 18175, 15665, 267, 4401, 7626, 4393, 267, 512, 32500, 23622, 267, 18896, 1090, 4586, 19770, 808, 339, 275, 268, 273, 808, 580, 9484, 541, 1807, 10724, 267, 570, 656, 531, 636, 15281, 984, 1756, 14086, 3267, 2073, 3624, 808, 339, 275, 268, 273, 808, 580, 9484, 541, 1807, 10724, 267, 570, 656, 531, 636, 15281, 984, 1756, 14086, 16811, 3245, 808, 343, 2675, 267, 3267, 7494, 5355, 519, 18570, 4390, 543, 6051, 2557, 540, 3937, 563, 14737, 1968, 808, 580, 24517, 21116, 585, 20957, 14409, 1299, 9484, 9653, 267, 1215, 3267, 2073, 4119, 476, 1691, 267, 476, 1001, 279, 3267, 25115, 795, 12127, 616, 513, 1826, 540, 5599, 3937, 267, 849, 5219, 547, 607, 8904, 3492, 21116, 610, 795, 580, 3492, 21116, 267, 602, 616, 1031, 538, 4238, 547, 4429, 310, 6504, 1090, 8081, 16797, 12226, 281, 1215, 798, 594, 1847, 16423, 1090, 3301, 3267, 2073, 16423, 1090, 2472, 616, 2356, 13931, 547, 581, 8704, 593, 513, 1808, 3684, 1765, 332, 8221, 519, 3301, 547, 513, 1007, 2780, 3340, 606, 9337, 547, 707, 12689, 563, 268, 575, 10455, 2218, 8302, 3684, 3239, 454, 268, 8860, 3684, 585, 5614, 454, 268, 476, 1911, 271, 4846, 3440, 1984, 3684, 476, 276, 327, 335, 5179, 454, 268, 1655, 26740, 8047, 3440, 1984, 3684, 454, 268, 3694, 1835, 3518, 3684, 6455, 476, 790, 1633, 454, 268, 21247, 11493, 3684, 538, 5599, 15242, 454, 268, 28372, 17819, 11493, 3684, 454, 268, 1164, 3608, 4154, 7626, 989, 527, 1807, 7382, 11544, 3684, 454, 268, 3684, 8860, 15854, 1984, 836, 454, 268, 32291, 8302, 3684, 10672, 538, 15242, 454, 268, 6149, 8869, 1818, 3684, 538, 1147, 520, 454, 268, 1164, 4398, 9160, 4155, 17819, 3684, 454, 268, 9584, 5386, 12210, 10286, 1818, 3684, 585, 9042, 538, 554, 784, 737, 784, 454, 268, 890, 561, 8727, 1166, 574, 8860, 3684, 454, 268, 2025, 17819, 3684, 1788, 585, 9042, 454, 268, 3684, 543, 8302, 2030, 9042, 538, 28492, 454, 268, 3684, 6300, 585, 8860, 5641, 4401, 538, 1762, 560, 1144, 19315, 454, 268, 30885, 6149, 11493, 3684, 538, 9456, 1286, 11194, 454, 268, 9160, 10015, 908, 3684, 538, 610, 20811, 454, 268, 1164, 2298, 5595, 16945, 11493, 3684, 5755, 8302, 454, 268, 7138, 565, 3570, 8302, 476, 10219, 476, 5611, 512, 874, 3902, 538, 533, 2317, 454, 268, 513, 26894, 3440, 1984, 9584, 454, 268, 18689, 2747, 5547, 540, 22104, 924, 454, 268, 799, 621, 568, 513, 29404, 1591, 1984, 543, 8302, 2030, 454, 268, 737, 13083, 1092, 3575, 619, 543, 19854, 2030, 7650, 454, 268, 986, 2096, 1180, 7513, 4393, 3684, 454, 268, 3318, 4154, 5599, 3684, 609, 12051, 3902, 454, 268, 15409, 4224, 30450, 1184, 585, 9042, 454, 268, 737, 340, 3128, 8302, 3173, 540, 519, 544, 4115, 334, 620, 4141, 970, 2350, 454, 268, 8302, 6149, 30517, 454, 268, 8302, 9755, 538, 737, 27092, 454, 268, 7452, 19216, 585, 11493, 3515, 454, 268, 476, 2568, 476, 1789, 521, 1386, 8403, 10265, 8302, 454, 268, 946, 540, 24489, 18689, 2747, 538, 23825, 454, 268, 10265, 8302, 1292, 851, 540, 14680, 8302, 454, 268, 2706, 6149, 8302, 544, 26842, 454, 268, 14646, 13650, 4224, 8302, 3381, 454, 268, 1141, 1775, 666, 1265, 2034, 1688, 3440, 1984, 538, 19580, 454, 268, 5276, 19089, 5496, 10672, 642, 756, 549, 5496, 454, 268, 2848, 1188, 601, 1984, 1219, 937, 528, 5066, 1570, 5542, 0, 292, 2202, 30477, 6233, 2943, 2620, 839, 454, 17954, 343, 527, 814, 1831, 513, 4641, 538, 476, 1708, 271, 269, 1280, 519, 1101, 942, 267, 513, 16588, 3557, 814, 2451, 519, 3864, 5742, 630, 31323, 1040, 901, 568, 513, 2736, 538, 519, 7678, 540, 2022, 21351, 3864, 5610, 269, 1809, 621, 1281, 711, 1611, 519, 1439, 540, 5610, 269, 3864, 5610, 814, 1079, 7516, 281, 11097, 2287, 630, 328, 4318, 269, 3850, 811, 2477, 547, 6443, 519, 1184, 264, 543, 29947, 630, 328, 4318, 269, 22151, 811, 2841, 1878, 547, 519, 3864, 1377, 1040, 634, 6967, 16588, 2276, 786, 3136, 547, 1491, 3268, 547, 2417, 15052, 3864, 5610, 267, 585, 1383, 609, 519, 12032, 540, 519, 12948, 9769, 269, 1306, 538, 519, 2250, 267, 713, 29947, 786, 581, 513, 544, 3291, 1782, 998, 1184, 563, 2304, 26464, 1184, 7498, 5475, 519, 5822, 2622, 2782, 267, 3864, 5610, 729, 22885, 607, 606, 26464, 4720, 2509, 606, 968, 1197, 6251, 9769, 6100, 3414, 2804, 9316, 543, 5610, 267, 3864, 2477, 1131, 1831, 865, 22524, 8817, 602, 513, 2112, 1131, 581, 7543, 269, 20323, 267, 519, 9167, 630, 528, 2864, 922, 21530, 25600, 899, 519, 3864, 7991, 585, 13082, 543, 15021, 543, 3864, 9483, 7991, 264, 729, 606, 6293, 547, 16102, 4708, 998, 2804, 9316, 269, 9483, 5610, 1131, 6038, 1291, 547, 2797, 5610, 563, 763, 4155, 547, 519, 968, 1197, 6251, 9769, 892, 814, 2141, 1044, 1360, 536, 17056, 269, 634, 3460, 2509, 513, 1455, 2344, 568, 711, 513, 16190, 7552, 1524, 513, 5179, 3118, 269, 13298, 267, 621, 568, 513, 6024, 18711, 1063, 519, 8851, 540, 7496, 543, 519, 4367, 540, 1007, 3283, 269, 476, 1789, 1296, 543, 1896, 9304, 16839, 9674, 519, 3355, 4566, 547, 6338, 513, 2582, 9304, 543, 519, 10131, 540, 519, 20789, 267, 585, 1383, 269, 1809, 519, 5610, 3646, 723, 2141, 7173, 9229, 538, 519, 1439, 563, 763, 2101, 23822, 618, 540, 519, 9167, 538, 476, 1220, 275, 547, 519, 5101, 6659, 22027, 827, 519, 20440, 540, 606, 968, 1197, 6251, 9769, 6100, 634, 15521, 540, 28988, 2548, 630, 1220, 278, 1070, 606, 9337, 540, 519, 2596, 21308, 593, 5610, 267, 5189, 519, 7872, 585, 513, 16588, 3557, 547, 4734, 519, 9167, 269, 4438, 519, 20789, 6433, 267, 3592, 476, 1015, 1296, 3516, 1631, 267, 519, 6668, 540, 519, 20789, 729, 513, 546, 830, 593, 922, 2427, 269, 10255, 729, 593, 519, 7450, 21163, 540, 606, 14827, 543, 602, 14944, 1441, 2883, 6990, 685, 6015, 538, 519, 4797, 6228, 540, 519, 20789, 269, 1717, 267, 519, 546, 830, 6368, 5828, 547, 519, 5610, 2427, 609, 519, 10661, 540, 519, 12948, 9769, 269, 634, 9167, 779, 2797, 3401, 22283, 538, 547, 4688, 5610, 3646, 543, 2620, 2989, 519, 9769, 563, 1862, 7140, 19037, 454, 9213, 267, 6601, 343, 527, 18327, 602, 9167, 5610, 568, 538, 1249, 31181, 269, 1403, 513, 1007, 16650, 6433, 941, 547, 10836, 538, 519, 9167, 2221, 267, 621, 4667, 1447, 1978, 602, 519, 546, 830, 1131, 2899, 1586, 28550, 547, 519, 5610, 2427, 269, 898, 568, 3020, 602, 693, 713, 4090, 972, 616, 1100, 2477, 602, 1616, 547, 1246, 519, 3703, 269, 769, 713, 2463, 267, 3864, 5610, 568, 538, 513, 1732, 3337, 982, 1223, 723, 1044, 21787, 693, 519, 1376, 540, 519, 6601, 343, 527, 521, 15676, 269, 1717, 267, 17069, 626, 6105, 267, 1419, 609, 16402, 2275, 15560, 610, 1524, 2431, 4550, 7232, 308, 7158, 267, 616, 2324, 547, 2569, 519, 3375, 6194, 1379, 540, 519, 2797, 4229, 602, 9718, 3864, 5610, 269, 634, 2797, 26610, 538, 5125, 543, 519, 3348, 13895, 8560, 540, 519, 3943, 5518, 2061, 519, 2757, 11573, 540, 519, 30473, 8566, 9007, 7852, 689, 3257, 922, 2816, 3823, 5610, 269, 769, 930, 2477, 267, 2596, 3741, 540, 519, 9167, 616, 1256, 896, 2604, 267, 971, 607, 9111, 267, 5191, 543, 519, 4341, 540, 1876, 563, 4263, 519, 1482, 942, 267, 2705, 267, 972, 616, 4191, 602, 513, 1978, 2631, 540, 23473, 585, 513, 2417, 29947, 540, 519, 9167, 568, 3395, 269, 1280, 1383, 267, 538, 2038, 5437, 476, 1001, 280, 267, 519, 4436, 10579, 540, 16010, 1572, 585, 519, 7521, 593, 513, 9758, 3864, 16005, 10018, 547, 581, 796, 4565, 18088, 267, 543, 10566, 289, 8387, 723, 14578, 1572, 585, 513, 811, 3742, 16642, 3609, 269, 634, 3943, 2990, 538, 519, 7521, 593, 23822, 618, 547, 519, 26811, 753, 3947, 2417, 29947, 540, 519, 9167, 513, 2312, 10862, 936, 23822, 618, 269, 2201, 519, 824, 1688, 267, 519, 3232, 2797, 16786, 2982, 602, 6405, 3356, 538, 29947, 3788, 513, 544, 3291, 1782, 998, 1184, 269, 589, 1297, 540, 2629, 2152, 786, 723, 547, 581, 4956, 538, 476, 1708, 271, 267, 971, 607, 519, 12032, 540, 519, 12948, 9769, 543, 519, 10073, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 799, 10731, 1426, 609, 513, 2603, 540, 9600, 543, 11950, 267, 3834, 11946, 807, 267, 513, 18670, 540, 519, 6171, 3666, 267, 7296, 267, 6704, 4568, 798, 711, 3565, 547, 519, 6604, 540, 519, 2068, 563, 763, 19183, 540, 19473, 29912, 4096, 593, 519, 4110, 540, 32560, 540, 519, 4299, 6077, 543, 922, 4087, 263, 513, 677, 320, 267, 19548, 8043, 267, 8043, 540, 519, 14159, 13570, 1916, 21675, 540, 19473, 29912, 609, 12563, 14319, 454, 21675, 540, 19473, 29912, 568, 1367, 543, 5161, 540, 7840, 593, 519, 7154, 540, 960, 263, 2057, 6846, 1070, 3742, 2168, 1964, 267, 2732, 267, 20239, 8839, 563, 1103, 519, 2126, 540, 19473, 29912, 543, 3556, 3930, 16235, 267, 21823, 616, 4922, 1031, 281, 22153, 2220, 710, 267, 3597, 540, 27442, 267, 2840, 577, 3762, 267, 23629, 16279, 267, 17761, 628, 1941, 267, 5134, 548, 1729, 324, 267, 3043, 22623, 11241, 267, 3355, 4484, 267, 546, 650, 267, 5569, 267, 13342, 267, 9782, 267, 9106, 558, 850, 267, 3993, 342, 677, 267, 30485, 6079, 267, 804, 1478, 803, 20760, 267, 11993, 2545, 332, 267, 890, 653, 1069, 842, 267, 30300, 3121, 267, 12450, 9440, 3762, 267, 1130, 518, 1014, 6815, 1400, 529, 267, 11849, 9440, 267, 4104, 1579, 1111, 267, 7626, 1146, 334, 267, 546, 28888, 542, 267, 3092, 563, 4415, 19473, 29912, 609, 3339, 27555, 2604, 1547, 8117, 609, 20286, 540, 6846, 538, 519, 10772, 267, 13350, 21994, 267, 1964, 1652, 3207, 267, 621, 568, 5227, 602, 476, 736, 10101, 540, 804, 1478, 2212, 803, 20760, 1927, 609, 519, 3284, 673, 3762, 6394, 693, 519, 4098, 540, 15496, 267, 13248, 476, 6110, 16720, 540, 14495, 1216, 267, 31274, 538, 513, 5687, 657, 267, 1491, 835, 3791, 476, 273, 268, 274, 2053, 513, 1554, 1354, 6980, 274, 3275, 269, 2991, 476, 277, 3275, 267, 10956, 519, 1576, 563, 268, 12465, 4915, 540, 5617, 22654, 15565, 1210, 513, 1232, 334, 794, 540, 10786, 21431, 6371, 585, 27621, 2787, 269, 1677, 798, 713, 267, 476, 273, 512, 4944, 11922, 13248, 476, 4968, 16720, 540, 14495, 1216, 267, 31274, 476, 273, 3108, 267, 8833, 543, 1491, 476, 272, 512, 26138, 4732, 335, 3019, 476, 274, 2053, 513, 1554, 269, 634, 2030, 568, 20715, 267, 865, 2564, 1852, 568, 14909, 269, 2060, 1582, 2389, 13015, 910, 513, 1576, 540, 476, 1015, 268, 1321, 2395, 563, 268, 6519, 2840, 577, 6978, 267, 32498, 23629, 16279, 5810, 267, 853, 269, 3627, 781, 530, 677, 8559, 267, 6978, 540, 8459, 7401, 267, 6371, 540, 2468, 4820, 924, 910, 476, 272, 851, 267, 5810, 543, 1762, 3762, 540, 17761, 628, 1941, 910, 476, 275, 2694, 267, 6371, 540, 20511, 2361, 910, 476, 274, 2694, 269, 275, 512, 26138, 4732, 335, 3019, 4015, 13248, 476, 272, 2148, 540, 14495, 1216, 267, 31274, 538, 513, 20177, 8708, 476, 273, 3108, 267, 1491, 513, 3791, 7484, 476, 274, 2053, 3232, 1354, 6980, 269, 634, 1576, 540, 2126, 568, 476, 272, 3923, 563, 268, 853, 3863, 11241, 267, 20511, 267, 546, 650, 267, 554, 832, 564, 841, 2361, 267, 1491, 476, 272, 851, 267, 546, 28888, 542, 267, 3993, 342, 677, 267, 27041, 267, 2915, 268, 13427, 910, 476, 274, 2694, 1142, 269, 275, 512, 26138, 4732, 335, 3019, 4015, 13248, 476, 272, 2148, 540, 14495, 1216, 267, 31274, 538, 513, 20177, 8708, 476, 273, 3108, 267, 8833, 543, 1491, 513, 3791, 7484, 476, 274, 2053, 3232, 1354, 6980, 585, 513, 3923, 563, 268, 5871, 544, 784, 7758, 910, 476, 274, 2694, 267, 6653, 804, 1478, 267, 30485, 6079, 267, 24036, 536, 686, 541, 910, 476, 273, 2694, 267, 853, 269, 3627, 781, 530, 677, 267, 1455, 7823, 11849, 267, 3762, 540, 3552, 12450, 9440, 267, 6132, 528, 823, 21736, 910, 476, 272, 851, 1142, 269, 275, 512, 26138, 4732, 335, 3019, 4015, 13248, 476, 272, 2148, 540, 14495, 1216, 267, 31274, 538, 513, 20177, 8708, 476, 273, 3108, 267, 8833, 543, 1491, 513, 3791, 7484, 476, 274, 2053, 3232, 1354, 6980, 585, 513, 3923, 563, 268, 769, 12563, 4915, 267, 11993, 2545, 332, 568, 1634, 607, 513, 25695, 267, 1884, 6625, 341, 6160, 656, 267, 1387, 2471, 545, 543, 13487, 16185, 269, 1879, 5283, 20811, 568, 11311, 538, 2550, 609, 3556, 3930, 16235, 267, 1928, 267, 7988, 335, 12795, 543, 27621, 2787, 14897, 267, 519, 13942, 3587, 811, 4686, 267, 1973, 2604, 1281, 711, 979, 1524, 269, 5606, 4288, 540, 11993, 2545, 332, 3762, 263, 476, 275, 575, 540, 3762, 829, 476, 1220, 16720, 540, 14495, 1216, 264, 568, 3144, 693, 476, 272, 268, 273, 588, 4732, 335, 3019, 476, 274, 2053, 513, 1554, 563, 268, 634, 9836, 946, 540, 6328, 601, 22756, 263, 6328, 601, 18133, 264, 11151, 519, 1646, 540, 19473, 29912, 563, 268, 1280, 519, 2126, 540, 13119, 538, 519, 4282, 540, 19473, 29912, 621, 568, 5227, 547, 946, 9267, 22756, 609, 9932, 585, 476, 3393, 2395, 585, 476, 1911, 575, 829, 21200, 267, 4358, 609, 1614, 4773, 829, 1554, 269, 2552, 571, 785, 10716, 950, 1210, 9267, 22756, 585, 1426, 616, 5312, 897, 4345, 267, 4283, 4377, 4345, 543, 22166, 547, 10808, 563, 289, 3089, 342, 17742, 568, 3730, 910, 3762, 267, 5810, 543, 5452, 269, 27817, 543, 5810, 1786, 342, 899, 7401, 543, 4235, 3368, 513, 4837, 476, 273, 2053, 513, 1554, 1354, 6980, 269, 1677, 3548, 11369, 342, 17742, 11188, 16466, 563, 291, 2905, 946, 540, 13342, 910, 476, 273, 268, 274, 4522, 609, 1426, 267, 476, 272, 268, 273, 13212, 267, 1781, 651, 9440, 936, 3368, 513, 7484, 540, 15708, 513, 1554, 267, 476, 1911, 575, 540, 32119, 10381, 267, 476, 272, 268, 273, 19790, 976, 609, 12933, 543, 476, 272, 10538, 563, 268, 634, 2783, 540, 519, 8043, 609, 19473, 29912, 10607, 546, 650, 269, 6875, 476, 272, 512, 26138, 269, 1975, 3019, 519, 12015, 546, 650, 476, 271, 269, 276, 20990, 540, 14495, 1216, 269, 5606, 2224, 476, 272, 5662, 269, 27276, 3368, 513, 4837, 476, 274, 2053, 513, 1554, 585, 476, 1789, 3764, 1354, 4189, 563, 268, 6875, 476, 274, 512, 26138, 4732, 335, 9398, 540, 546, 650, 5452, 267, 476, 274, 512, 26138, 4732, 335, 3019, 519, 16760, 3597, 540, 1130, 518, 1014, 585, 476, 272, 2148, 540, 14495, 1216, 267, 3142, 547, 513, 14974, 267, 5594, 669, 3739, 267, 1039, 547, 30376, 476, 274, 512, 26138, 4732, 335, 9398, 540, 9932, 267, 16833, 543, 4734, 585, 519, 3781, 269, 853, 1778, 543, 4235, 476, 274, 512, 26138, 4732, 335, 3019, 476, 274, 2053, 513, 1554, 585, 476, 1789, 3764, 1354, 4189, 585, 476, 273, 4374, 269, 2991, 513, 2736, 540, 476, 1015, 2395, 267, 10956, 519, 1576, 540, 2126, 563, 268, 11545, 1491, 519, 10433, 540, 6151, 12277, 267, 585, 799, 596, 991, 547, 11547, 5420, 13355, 12277, 267, 1510, 7738, 267, 6299, 593, 513, 1507, 1989, 831, 267, 25837, 10433, 998, 12238, 2763, 543, 4235, 269, 590, 16235, 786, 973, 27827, 267, 855, 713, 2126, 3217, 942, 563, 4415, 19473, 29912, 267, 23017, 15837, 22729, 568, 2500, 269, 6875, 519, 7738, 689, 476, 275, 8685, 619, 540, 12277, 267, 14974, 538, 476, 271, 269, 276, 20990, 540, 1216, 269, 853, 1778, 543, 1491, 3368, 513, 7484, 476, 736, 3764, 1354, 6980, 476, 274, 2053, 513, 1554, 563, 2252, 3965, 14016, 919, 267, 596, 666, 946, 713, 11600, 281, 476, 273, 512, 26138, 269, 1975, 3019, 519, 28113, 20836, 538, 513, 5779, 32291, 267, 13248, 476, 272, 4837, 540, 642, 617, 6390, 267, 31274, 538, 513, 4158, 1747, 585, 476, 273, 4374, 269, 853, 1778, 543, 1491, 476, 736, 268, 1789, 12772, 476, 273, 2053, 513, 1554, 1354, 6980, 563, 17315, 823, 689, 22623, 9440, 15708, 10607, 519, 2783, 540, 8043, 267, 8992, 759, 26975, 540, 521, 13406, 5328, 29693, 13196, 563, 305, 1177, 5388, 1354, 6980, 616, 3730, 711, 1152, 1317, 540, 741, 1164, 1543, 540, 8324, 543, 10250, 2609, 267, 855, 849, 1317, 789, 4196, 607, 513, 2067, 3170, 6633, 518, 267, 799, 568, 2523, 1271, 585, 19473, 29912, 563, 23682, 4723, 3797, 585, 19473, 29912, 454, 2026, 519, 10172, 1184, 5170, 267, 607, 1134, 607, 538, 930, 3676, 267, 519, 5135, 25294, 540, 519, 1973, 543, 519, 5135, 4616, 540, 1560, 8031, 6175, 269, 769, 891, 2665, 267, 621, 568, 2009, 547, 948, 513, 1268, 11177, 5135, 25294, 540, 519, 1560, 269, 1677, 2333, 519, 1377, 540, 946, 540, 5135, 538, 2489, 267, 8324, 543, 2890, 324, 6123, 616, 5227, 602, 3895, 519, 6454, 540, 10408, 10307, 543, 12622, 1863, 18119, 263, 6878, 602, 3441, 10408, 3889, 1040, 5445, 616, 8324, 595, 267, 661, 543, 645, 272, 267, 13101, 269, 1358, 666, 581, 538, 519, 1106, 540, 5094, 21339, 610, 2472, 267, 607, 1454, 607, 2009, 5627, 873, 269, 634, 2707, 540, 6171, 595, 267, 585, 1383, 267, 666, 4196, 607, 3109, 1225, 7949, 267, 22648, 267, 5613, 540, 642, 756, 1248, 636, 267, 22623, 9440, 267, 10800, 9440, 563, 763, 2034, 1271, 1448, 540, 5135, 3797, 568, 519, 14242, 540, 15672, 10009, 676, 2168, 3635, 269, 634, 27590, 10415, 568, 3730, 538, 513, 8880, 2990, 269, 634, 1034, 2241, 910, 1169, 1554, 1310, 31135, 267, 14084, 593, 707, 1394, 267, 21199, 3946, 543, 3952, 585, 476, 273, 268, 274, 3764, 269, 645, 5390, 2193, 23908, 10309, 543, 17804, 1216, 5773, 616, 849, 3730, 563, 23612, 910, 5135, 23254, 725, 543, 15483, 339, 5661, 267, 607, 1134, 607, 6972, 538, 519, 4195, 2011, 563, 21675, 540, 6147, 15842, 341, 6018, 19473, 29912, 454, 4415, 6147, 15842, 341, 6018, 19548, 26379, 2073, 12563, 4915, 15565, 519, 1739, 14319, 563, 268, 6875, 476, 1220, 575, 540, 11849, 9440, 13626, 267, 14974, 621, 538, 476, 271, 269, 276, 561, 540, 1216, 585, 476, 273, 3108, 593, 1970, 3002, 269, 15346, 543, 1491, 476, 274, 512, 26138, 4732, 335, 9398, 1354, 6980, 476, 274, 2053, 513, 1554, 269, 6092, 585, 476, 272, 3923, 476, 274, 2053, 513, 1032, 563, 268, 18610, 10433, 689, 519, 3762, 540, 2030, 664, 1804, 6404, 609, 519, 10433, 689, 519, 3762, 540, 513, 11344, 1590, 5995, 263, 476, 736, 269, 476, 272, 1070, 1039, 9932, 476, 272, 269, 476, 272, 263, 3448, 547, 519, 2898, 7848, 1070, 3142, 547, 513, 14974, 538, 513, 1216, 8602, 269, 6875, 476, 273, 26486, 267, 476, 272, 942, 513, 1554, 1310, 6980, 269, 15188, 538, 513, 1134, 20177, 8708, 538, 513, 3579, 4158, 1747, 563, 21675, 540, 19548, 838, 553, 916, 454, 2691, 838, 553, 916, 540, 519, 2634, 8043, 616, 3730, 971, 12563, 16185, 912, 268, 6875, 476, 272, 23188, 540, 10786, 16815, 1889, 6394, 1282, 15496, 267, 1786, 342, 538, 476, 271, 269, 276, 20990, 540, 14495, 1216, 267, 31274, 476, 2412, 3764, 267, 17401, 6806, 267, 1317, 519, 19979, 552, 1492, 549, 559, 267, 8833, 267, 1039, 476, 276, 12772, 540, 28448, 17065, 7458, 11344, 1590, 5995, 10433, 547, 513, 4837, 540, 16815, 1889, 30376, 269, 901, 568, 513, 2178, 16185, 267, 4061, 621, 568, 5227, 547, 946, 621, 1100, 811, 982, 476, 273, 268, 274, 2053, 513, 3018, 585, 476, 274, 268, 275, 3275, 563, 309, 1068, 15282, 538, 19473, 29912, 454, 309, 1068, 15282, 538, 19473, 29912, 666, 581, 4389, 1210, 519, 1739, 11600, 563, 268, 6875, 15823, 1922, 604, 1399, 5613, 543, 5810, 540, 17761, 628, 1941, 267, 14299, 269, 274, 512, 26138, 4732, 335, 3019, 4015, 1786, 342, 476, 274, 11680, 540, 14495, 1216, 267, 31274, 538, 513, 3636, 1747, 585, 476, 273, 3108, 267, 8963, 269, 5606, 4288, 1491, 476, 272, 4837, 476, 274, 2053, 513, 1554, 585, 476, 1789, 3764, 1354, 6980, 610, 606, 5662, 1310, 6980, 269, 769, 1142, 7674, 1354, 2921, 476, 274, 12772, 540, 28448, 17065, 7458, 10433, 689, 519, 3762, 540, 513, 11344, 1590, 5995, 563, 21675, 540, 2212, 6846, 538, 19473, 29912, 454, 2691, 6846, 538, 519, 2212, 540, 2073, 7401, 689, 804, 1478, 543, 737, 760, 516, 5984, 786, 948, 269, 898, 568, 2556, 547, 1491, 8449, 519, 27536, 9843, 540, 519, 804, 1478, 267, 519, 3762, 540, 519, 10936, 267, 14299, 267, 1786, 342, 543, 4235, 899, 7401, 476, 272, 4837, 476, 273, 2053, 513, 1554, 585, 513, 1279, 942, 269, 634, 4235, 568, 16990, 547, 519, 6492, 543, 849, 10607, 3207, 269, 3371, 616, 930, 811, 12563, 10346, 609, 6846, 538, 519, 2212, 10778, 268, 634, 2212, 540, 5420, 13355, 13342, 568, 22019, 539, 267, 16760, 883, 27615, 601, 269, 674, 1245, 538, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 936, 5564, 28745, 543, 29435, 532, 8454, 269, 1284, 786, 581, 3001, 5196, 476, 273, 8820, 5546, 1985, 2336, 12892, 5525, 1700, 3767, 602, 649, 723, 8737, 13431, 296, 267, 938, 1445, 568, 5196, 1272, 538, 3013, 1282, 519, 10162, 2130, 476, 736, 338, 543, 634, 4279, 12870, 269, 962, 16518, 1053, 3323, 938, 2048, 27398, 3883, 685, 1788, 267, 799, 596, 1058, 723, 4607, 519, 8846, 2985, 585, 689, 707, 1126, 269, 634, 8846, 2985, 3340, 707, 15040, 267, 865, 952, 596, 1705, 711, 1294, 621, 2063, 3781, 5225, 2307, 707, 1126, 585, 621, 865, 789, 666, 1205, 707, 15040, 543, 1865, 621, 609, 596, 269, 634, 8642, 28013, 585, 713, 1788, 568, 1813, 1985, 11016, 267, 519, 476, 273, 526, 269, 634, 3803, 1788, 568, 1813, 13628, 267, 5988, 476, 1428, 628, 269, 1284, 786, 723, 513, 13431, 296, 543, 476, 4572, 271, 338, 1449, 1985, 13638, 269, 4841, 616, 547, 9096, 519, 22994, 344, 7665, 4245, 593, 891, 1079, 3584, 1354, 519, 1449, 563, 14483, 715, 4774, 14581, 25849, 906, 912, 268, 736, 3764, 593, 22994, 344, 7665, 538, 2901, 5678, 267, 18500, 267, 610, 7335, 22252, 1049, 630, 15884, 581, 6592, 538, 741, 16786, 1018, 519, 12353, 7084, 568, 1040, 901, 3018, 741, 1445, 568, 5678, 563, 5336, 987, 9454, 531, 269, 594, 849, 5000, 873, 547, 6108, 942, 593, 22994, 344, 7665, 4569, 3781, 569, 270, 553, 1419, 607, 2009, 563, 5025, 6195, 5741, 281, 4014, 649, 616, 2324, 593, 621, 693, 1153, 267, 621, 568, 2469, 547, 2154, 741, 3007, 693, 1753, 607, 1134, 269, 1358, 666, 960, 593, 621, 607, 789, 2347, 519, 476, 4572, 271, 338, 543, 4279, 12870, 4245, 593, 22994, 344, 7665, 267, 543, 594, 723, 849, 2322, 1382, 2200, 896, 519, 9399, 9184, 547, 3391, 873, 538, 741, 1382, 585, 519, 1788, 563, 268, 5649, 476, 736, 266, 3764, 585, 12257, 454, 265, 12041, 779, 21281, 1107, 901, 11016, 267, 519, 476, 2918, 628, 269, 7490, 6443, 519, 476, 276, 628, 3446, 20471, 1063, 476, 279, 281, 1789, 268, 280, 281, 3393, 267, 538, 938, 13460, 267, 547, 6432, 547, 519, 1053, 1224, 741, 8748, 1603, 547, 2818, 540, 938, 2146, 269, 901, 786, 581, 513, 1187, 4272, 2218, 2680, 547, 11760, 875, 2182, 938, 3214, 960, 538, 1603, 256, 1284, 786, 849, 581, 14120, 476, 1911, 628, 1554, 540, 1153, 607, 513, 3446, 1377, 713, 1554, 269, 4841, 616, 9415, 547, 10571, 476, 1911, 1296, 2025, 267, 538, 11812, 540, 713, 24182, 538, 519, 1153, 1032, 2336, 265, 276, 628, 6103, 22391, 8058, 17926, 16514, 281, 7490, 4757, 513, 4605, 540, 707, 3903, 547, 1496, 16942, 6870, 316, 676, 11016, 267, 5988, 476, 273, 526, 269, 901, 4605, 786, 581, 1031, 1282, 835, 540, 938, 3078, 1439, 540, 519, 1032, 476, 276, 628, 3446, 2621, 1107, 519, 476, 276, 628, 6103, 6215, 1938, 6011, 267, 799, 786, 10268, 693, 519, 25021, 5455, 24583, 3000, 344, 543, 581, 513, 8952, 820, 585, 707, 1126, 779, 476, 276, 628, 3446, 1032, 269, 634, 1641, 1899, 1058, 581, 707, 1126, 779, 2012, 543, 8682, 269, 901, 568, 10691, 519, 1482, 3364, 607, 11449, 513, 5556, 7806, 17419, 5729, 1504, 1520, 585, 707, 1126, 267, 855, 596, 616, 811, 982, 10950, 547, 946, 519, 1482, 4605, 563, 265, 276, 628, 6103, 5556, 7806, 17419, 5729, 1504, 1520, 1107, 16458, 1467, 547, 1931, 568, 5988, 476, 1626, 628, 269, 3371, 568, 519, 3095, 585, 811, 1344, 593, 713, 281, 4179, 2517, 332, 20667, 1613, 24473, 6230, 20047, 6062, 696, 944, 18145, 2593, 9706, 871, 564, 270, 20862, 277, 866, 276, 454, 265, 303, 21332, 707, 1126, 779, 1032, 1504, 676, 476, 273, 270, 1626, 585, 513, 31680, 3902, 256, 1280, 811, 1344, 267, 543, 547, 1931, 267, 1246, 713, 3095, 281, 4179, 2517, 332, 20667, 1613, 24473, 6230, 20047, 6062, 696, 944, 18145, 2593, 10774, 727, 454, 265, 305, 1442, 26267, 18983, 2153, 6215, 760, 1107, 1813, 676, 5988, 476, 280, 628, 269, 1403, 596, 616, 5461, 538, 669, 1653, 11238, 267, 855, 723, 711, 2366, 1394, 519, 1106, 267, 5225, 798, 865, 6789, 4338, 865, 602, 649, 666, 2721, 547, 3313, 945, 519, 18822, 2385, 786, 581, 547, 13173, 721, 593, 519, 7552, 2336, 265, 8245, 12121, 9906, 12875, 270, 29547, 476, 277, 628, 6103, 9977, 13957, 1107, 4841, 11504, 3244, 12121, 786, 1491, 513, 2361, 7552, 4663, 540, 519, 1153, 593, 4924, 269, 476, 277, 628, 1282, 519, 1153, 1554, 267, 543, 602, 10543, 568, 9977, 13957, 585, 29547, 476, 277, 628, 3446, 2875, 779, 3237, 689, 476, 277, 268, 278, 10681, 563, 265, 21938, 476, 280, 628, 1107, 631, 12717, 15604, 19933, 269, 2776, 1790, 3420, 2084, 17914, 568, 2838, 267, 1246, 713, 3095, 547, 798, 865, 281, 4179, 2517, 332, 20667, 1613, 24473, 6230, 20047, 6062, 696, 944, 18145, 2593, 9706, 871, 564, 270, 20862, 277, 866, 274, 0, 307, 340, 30835, 3173, 5063, 4080, 602, 1247, 519, 3056, 2707, 540, 8477, 538, 519, 3328, 1977, 2732, 1031, 547, 581, 689, 3043, 3694, 267, 602, 949, 723, 4957, 269, 3767, 267, 2687, 547, 16861, 1382, 5342, 676, 3744, 693, 519, 14639, 2904, 518, 22340, 5274, 12594, 3194, 4741, 593, 28544, 693, 16515, 30835, 2160, 267, 4892, 616, 6704, 891, 8477, 3079, 269, 634, 1382, 729, 4843, 538, 7493, 1106, 693, 519, 21885, 10334, 10985, 538, 4989, 540, 713, 1032, 543, 513, 811, 3102, 1957, 568, 1373, 2919, 563, 302, 323, 23158, 645, 1069, 8775, 345, 267, 12854, 267, 12463, 295, 267, 6594, 519, 4080, 11326, 540, 513, 1804, 18487, 3732, 540, 1977, 4079, 269, 7324, 17013, 547, 519, 476, 1960, 280, 268, 1220, 271, 2817, 2657, 543, 12594, 22410, 11752, 630, 26822, 3198, 2464, 1070, 811, 982, 1079, 555, 8674, 4080, 6704, 2614, 14614, 543, 5924, 6653, 10425, 547, 1683, 873, 609, 513, 3152, 8167, 540, 3232, 8477, 982, 1022, 824, 1426, 269, 769, 1840, 267, 8377, 3928, 941, 2362, 1851, 891, 6653, 4235, 6800, 269, 3117, 28366, 540, 476, 1911, 260, 10538, 10433, 543, 1970, 3170, 5144, 267, 593, 519, 824, 1688, 267, 22157, 547, 581, 1447, 14968, 267, 593, 3328, 563, 289, 1069, 8775, 345, 267, 945, 568, 849, 606, 13930, 7548, 693, 16515, 30835, 2160, 338, 17054, 2006, 3427, 540, 12594, 3163, 543, 8889, 267, 568, 29014, 602, 267, 834, 2421, 4543, 547, 2697, 519, 1292, 2959, 540, 4430, 1648, 538, 519, 1977, 2732, 267, 713, 960, 949, 3565, 547, 519, 1646, 540, 1454, 32571, 2994, 547, 8396, 8377, 538, 519, 1977, 1857, 4799, 303, 1122, 4445, 15917, 525, 1923, 31823, 2336, 262, 29670, 6512, 1137, 9166, 715, 19851, 631, 3041, 3041, 3744, 1020, 1979, 24899, 6312, 1043, 4550, 1532, 1248, 6289, 1993, 756, 619, 454, 1626, 269, 6349, 269, 1001, 279, 1923, 2817, 2160, 540, 3163, 543, 5303, 631, 3041, 3041, 454, 6124, 1184, 2636, 20688, 13402, 13663, 1382, 454, 1626, 269, 6349, 269, 1001, 279, 1923, 661, 828, 14551, 10127, 3149, 10713, 28059, 570, 6686, 6883, 523, 454, 2690, 519, 1101, 942, 267, 513, 2319, 540, 3173, 693, 519, 7665, 268, 23945, 1188, 4659, 630, 6573, 296, 264, 585, 12443, 1067, 3194, 538, 6301, 345, 267, 5125, 267, 814, 16309, 538, 1818, 606, 7471, 5547, 630, 2975, 264, 689, 1175, 513, 1395, 565, 9707, 540, 513, 15373, 532, 12249, 3842, 513, 5377, 5346, 267, 1582, 23829, 12273, 1935, 563, 1103, 519, 1582, 23829, 12273, 1184, 267, 519, 15373, 532, 12249, 2855, 5190, 3294, 883, 606, 10288, 1395, 565, 9707, 538, 513, 24923, 269, 634, 27820, 616, 9352, 17176, 1031, 2483, 17954, 752, 10843, 2488, 513, 1007, 1523, 540, 519, 1374, 540, 7636, 16546, 267, 8596, 543, 5201, 18402, 693, 23282, 7051, 454, 12867, 689, 519, 4659, 540, 17667, 11061, 543, 4437, 17190, 540, 519, 31909, 630, 296, 8016, 289, 26285, 826, 1070, 4659, 540, 8212, 540, 519, 31909, 630, 7709, 31909, 264, 543, 6022, 871, 383, 377, 2160, 2483, 2690, 21706, 543, 3744, 267, 14485, 616, 12468, 28316, 269, 1358, 2992, 543, 18195, 1769, 267, 1818, 2009, 519, 9196, 1949, 602, 5397, 6602, 998, 519, 17209, 543, 8190, 1686, 998, 12514, 563, 3719, 2221, 781, 4837, 2861, 14485, 616, 4439, 5652, 543, 5706, 9910, 4405, 1436, 269, 8921, 22831, 4066, 267, 971, 607, 24318, 987, 514, 12514, 610, 6263, 9145, 8554, 267, 2154, 2483, 14722, 689, 519, 2160, 540, 2098, 584, 747, 723, 16309, 585, 519, 1101, 942, 538, 9477, 1367, 6565, 2281, 543, 741, 27090, 28738, 344, 936, 3275, 1369, 519, 16856, 2937, 2634, 269, 901, 1353, 24259, 1769, 593, 875, 1007, 11409, 616, 3812, 2429, 1272, 563, 763, 5108, 540, 1007, 8229, 2281, 729, 2899, 2219, 547, 512, 1653, 1055, 693, 519, 1439, 540, 25782, 1646, 269, 1717, 267, 2487, 1382, 814, 3254, 602, 519, 2937, 2634, 2483, 31628, 3749, 21575, 15974, 547, 946, 2942, 13779, 547, 1852, 3002, 2095, 538, 7061, 3457, 269, 5530, 3370, 538, 8447, 5623, 16707, 454, 23797, 636, 2780, 2694, 616, 6213, 543, 991, 547, 581, 22799, 547, 1360, 1970, 5210, 269, 4256, 6263, 2450, 2306, 873, 3226, 11630, 547, 513, 2837, 2483, 1428, 269, 6349, 269, 1001, 279, 1923, 7926, 5240, 454, 1724, 269, 6349, 269, 1001, 279, 1923, 7926, 5240, 454, 1321, 269, 6349, 269, 1001, 279, 1923, 7926, 5240, 454, 866, 269, 6349, 269, 1001, 279, 1923, 10049, 7070, 454, 866, 269, 6349, 269, 1001, 279, 1923, 10049, 7070, 454, 866, 269, 6349, 269, 1001, 279, 1923, 5020, 7070, 0, 22209, 787, 883, 519, 7286, 1604, 454, 17484, 657, 5285, 534, 568, 513, 3376, 8552, 267, 1875, 1606, 2448, 545, 267, 3346, 454, 663, 7181, 9117, 5521, 8336, 543, 1035, 541, 8336, 269, 898, 454, 529, 3006, 2938, 607, 513, 10682, 585, 824, 811, 454, 11825, 11962, 1418, 5255, 3271, 710, 5521, 15969, 630, 324, 3052, 269, 30250, 307, 2676, 20142, 1231, 264, 855, 621, 568, 711, 4922, 1031, 538, 6683, 563, 763, 2930, 1439, 657, 5285, 534, 1587, 630, 20200, 1227, 476, 9834, 14999, 5562, 12146, 630, 320, 269, 328, 269, 4297, 568, 513, 7848, 540, 1079, 568, 12002, 2676, 4385, 607, 513, 630, 528, 589, 610, 594, 264, 543, 536, 630, 528, 645, 610, 4083, 1070, 538, 519, 454, 7806, 1470, 540, 476, 3583, 268, 3199, 260, 513, 547, 476, 1789, 268, 736, 260, 536, 563, 1103, 476, 2735, 275, 267, 1546, 23936, 2763, 1696, 620, 630, 2735, 275, 264, 6059, 454, 4488, 2504, 4390, 729, 476, 277, 267, 10384, 19726, 270, 20204, 630, 339, 30819, 1916, 13328, 2504, 729, 6059, 693, 5111, 454, 1015, 267, 1822, 512, 30819, 630, 21766, 476, 2735, 275, 1916, 763, 1292, 8905, 540, 7127, 883, 519, 12748, 1604, 454, 514, 519, 5177, 568, 689, 27556, 2959, 2404, 609, 454, 1080, 946, 607, 513, 23561, 267, 971, 607, 2196, 11325, 689, 2244, 454, 13434, 867, 539, 2157, 538, 519, 7286, 454, 288, 5619, 540, 476, 3199, 5177, 2627, 1216, 4609, 5473, 454, 8182, 5439, 1282, 519, 5162, 540, 476, 2735, 279, 270, 8660, 630, 306, 3722, 476, 2735, 280, 994, 516, 557, 4705, 1152, 1079, 5439, 609, 2318, 267, 1775, 4318, 269, 3436, 1015, 454, 978, 15828, 267, 2164, 585, 1439, 657, 5285, 534, 281, 476, 1556, 23356, 561, 268, 272, 454, 517, 519, 5211, 8776, 16466, 543, 476, 1691, 23356, 561, 268, 272, 538, 454, 1492, 1280, 628, 1609, 4231, 269, 769, 1312, 5439, 267, 1152, 513, 15134, 657, 5285, 534, 454, 13195, 9571, 269, 5637, 4609, 941, 25541, 7466, 855, 454, 21671, 835, 2318, 1267, 729, 5833, 693, 1142, 3135, 563, 21206, 1239, 593, 9830, 4080, 538, 519, 454, 3405, 710, 1604, 616, 4843, 538, 25715, 667, 563, 293, 622, 543, 7180, 538, 519, 7286, 454, 22033, 9034, 2213, 676, 595, 8735, 543, 13643, 630, 1960, 272, 994, 24175, 2248, 338, 602, 8851, 540, 1439, 657, 5285, 534, 689, 519, 25694, 454, 523, 1444, 949, 2049, 676, 2584, 565, 1736, 267, 29230, 3974, 2676, 2135, 9179, 267, 2019, 520, 559, 5314, 267, 7686, 18341, 566, 543, 22408, 1632, 454, 8974, 1978, 2175, 269, 1717, 267, 519, 3448, 454, 5814, 766, 540, 519, 1114, 3157, 568, 2693, 454, 1729, 581, 2352, 547, 3589, 585, 513, 1880, 25896, 563, 306, 26975, 568, 606, 1271, 12556, 585, 1439, 657, 5285, 534, 538, 454, 320, 638, 1738, 1949, 269, 13983, 557, 543, 31864, 630, 3192, 272, 264, 1336, 602, 454, 3467, 982, 476, 4037, 260, 540, 519, 1439, 657, 5285, 534, 538, 519, 5211, 10910, 710, 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 ]
[ 513, 851, 540, 1272, 269, 1284, 782, 723, 8090, 540, 4743, 14221, 610, 20158, 267, 855, 950, 1346, 4606, 1831, 811, 540, 513, 8628, 454, 276, 3600, 1575, 2002, 338, 585, 17520, 1411, 2052, 1520, 2381, 3563, 23126, 454, 2108, 4263, 513, 942, 950, 1004, 616, 865, 6857, 540, 4509, 741, 2168, 1072, 676, 9013, 741, 11326, 267, 16706, 267, 543, 865, 8521, 267, 621, 2306, 2631, 547, 2119, 547, 11349, 519, 454, 10907, 17815, 281, 634, 22731, 12713, 327, 871, 585, 20353, 28152, 454, 16352, 18596, 31264, 568, 2147, 547, 15970, 513, 2191, 4442, 22525, 269, 1879, 789, 979, 689, 1373, 30414, 547, 8362, 26688, 543, 7646, 569, 1102, 584, 11868, 267, 972, 568, 1419, 2370, 835, 666, 798, 454, 274, 3600, 340, 32622, 585, 17520, 454, 3080, 540, 519, 1034, 8748, 1919, 827, 1373, 606, 1035, 1575, 9417, 584, 626, 568, 519, 2702, 547, 12954, 2798, 593, 1250, 1378, 1560, 950, 594, 991, 547, 269, 1403, 594, 1205, 513, 454, 763, 30715, 9650, 17583, 454, 25565, 4457, 6925, 5654, 693, 1919, 8335, 543, 1247, 621, 949, 581, 513, 2370, 14845, 267, 972, 568, 2356, 930, 1455, 2666, 602, 666, 581, 1336, 2390, 6514, 543, 454, 15463, 4472, 570, 9582, 547, 21079, 13262, 454, 29590, 568, 1945, 602, 5540, 16764, 269, 13262, 568, 3989, 607, 513, 1533, 540, 2790, 610, 3929, 8082, 610, 8833, 4611, 689, 14053, 610, 8801, 6381, 269, 901, 666, 1267, 538, 454, 26668, 30258, 3600, 17815, 29452, 21079, 13262, 454, 29590, 568, 513, 2262, 1082, 1004, 616, 5432, 609, 269, 634, 8675, 11225, 2566, 538, 2789, 2081, 267, 855, 972, 568, 1152, 835, 602, 6927, 950, 649, 1865, 875, 2566, 5540, 454, 26045, 270, 10387, 10899, 31834, 540, 634, 9839, 454, 763, 2101, 5539, 540, 519, 2295, 538, 570, 13967, 568, 8027, 519, 2247, 543, 9013, 519, 521, 1156, 269, 968, 306, 1156, 892, 666, 581, 2938, 607, 519, 2949, 1072, 1465, 540, 519, 2247, 269, 1879, 596, 454, 278, 30258, 547, 16418, 4934, 3600, 17815, 454, 2710, 596, 2479, 1745, 707, 1272, 779, 513, 11878, 602, 4465, 1406, 2479, 3247, 286, 1215, 1082, 17334, 798, 596, 7227, 585, 6004, 269, 9995, 2006, 547, 4012, 1227, 2408, 286, 1215, 1419, 798, 596, 5963, 0, 2026, 513, 968, 7666, 344, 945, 15055, 547, 4194, 13410, 2223, 6276, 30621, 568, 6157, 538, 606, 3617, 2361, 563, 2467, 568, 1100, 1439, 540, 9157, 3283, 547, 10994, 607, 519, 2160, 540, 4826, 31846, 3540, 543, 2825, 4702, 7548, 5083, 1132, 519, 1646, 543, 27715, 540, 2780, 3631, 547, 3589, 1018, 786, 4755, 538, 7297, 515, 1091, 563, 3383, 1082, 1950, 4632, 2097, 883, 1404, 1107, 689, 14099, 547, 3037, 2175, 267, 2916, 1689, 543, 5734, 7146, 2173, 1170, 4365, 23004, 1107, 602, 1010, 960, 786, 2693, 2611, 513, 10419, 783, 960, 538, 3356, 607, 3631, 2087, 267, 855, 616, 2760, 7357, 3501, 539, 563, 2108, 6546, 779, 519, 1187, 851, 2223, 30621, 1767, 540, 519, 11104, 640, 540, 519, 4161, 269, 968, 6546, 779, 519, 1382, 3034, 290, 571, 580, 779, 5571, 4674, 547, 3589, 875, 7297, 515, 1091, 1599, 3893, 513, 5818, 5063, 950, 646, 729, 3957, 513, 4516, 3194, 17348, 538, 10281, 6331, 545, 3525, 2454, 543, 5811, 267, 609, 1269, 4335, 267, 1822, 538, 7616, 13752, 676, 519, 5313, 2229, 936, 2947, 1296, 563, 1103, 519, 2110, 3856, 267, 519, 3804, 568, 547, 1118, 3631, 1732, 267, 811, 4977, 30661, 540, 2436, 972, 1522, 581, 14700, 1310, 513, 11811, 267, 610, 950, 1216, 2157, 786, 8445, 538, 23854, 865, 8652, 3887, 10431, 3549, 666, 1544, 547, 2333, 4398, 563, 262, 2171, 666, 1405, 7227, 1472, 7055, 14071, 666, 1406, 7227, 1472, 585, 1919, 547, 2965, 4755, 2223, 1767, 30621, 267, 945, 1568, 5702, 609, 8284, 7548, 21563, 534, 24729, 5459, 267, 543, 814, 1896, 10927, 1053, 543, 513, 2022, 28273, 28118, 8284, 593, 1010, 1382, 2319, 269, 968, 2171, 723, 547, 2119, 547, 3589, 1018, 779, 2469, 547, 4755, 10200, 20371, 10702, 856, 267, 519, 2832, 568, 1646, 540, 513, 2582, 2780, 2203, 602, 1223, 581, 9862, 267, 711, 3710, 689, 15072, 267, 585, 946, 538, 11212, 3309, 8916, 689, 5032, 3562, 18396, 770, 538, 4516, 563, 4415, 14700, 519, 1034, 14427, 1106, 540, 2067, 9568, 538, 519, 2197, 267, 3384, 606, 2038, 9963, 1062, 547, 1450, 17355, 340, 725, 543, 824, 13390, 1081, 776, 3800, 568, 513, 5458, 1382, 1858, 593, 922, 1378, 563, 8448, 3096, 585, 24659, 2780, 20592, 1331, 4058, 585, 1379, 3549, 267, 1646, 540, 2244, 14025, 4507, 1472, 19883, 267, 543, 519, 1764, 593, 1216, 7727, 540, 3282, 543, 3154, 10868, 563, 9556, 1564, 2907, 538, 946, 454, 5475, 4358, 1010, 2627, 1216, 1382, 827, 5216, 1296, 3516, 267, 30621, 814, 8329, 547, 3631, 602, 723, 1044, 2322, 547, 946, 538, 1585, 2694, 540, 519, 2197, 538, 519, 2063, 1906, 1296, 563, 3528, 1818, 873, 811, 16762, 543, 4061, 811, 3730, 267, 519, 3804, 1631, 568, 547, 17108, 741, 10073, 676, 29801, 267, 7855, 543, 22124, 563, 17606, 779, 6410, 689, 513, 1382, 2203, 547, 606, 10512, 2203, 2223, 1767, 30621, 269, 0, 18404, 1794, 15351, 803, 1470, 17304, 10044, 11606, 538, 6935, 547, 2825, 4632, 538, 519, 7187, 13323, 540, 6792, 2620, 4262, 454, 21206, 11657, 27084, 454, 1103, 1931, 547, 811, 4628, 1174, 519, 3892, 540, 803, 1470, 17304, 10044, 543, 875, 789, 4431, 547, 1283, 4919, 267, 2520, 12950, 543, 2168, 16550, 538, 519, 7187, 13323, 540, 6792, 267, 803, 1470, 17304, 10044, 11606, 543, 2825, 4632, 941, 9916, 538, 513, 8367, 2861, 796, 21725, 543, 1617, 21725, 1374, 269, 2725, 1470, 17304, 10044, 11606, 729, 3648, 1644, 547, 1216, 3178, 267, 855, 849, 17820, 1713, 19976, 3604, 4611, 689, 16133, 547, 14967, 5211, 856, 6503, 269, 24258, 2934, 538, 16133, 540, 14967, 5211, 856, 6503, 941, 1336, 547, 7494, 3986, 803, 1470, 17304, 10044, 11606, 269, 634, 8419, 18521, 17369, 618, 25998, 609, 14967, 5211, 856, 6503, 543, 519, 31230, 7351, 547, 3986, 803, 1470, 17304, 10044, 11606, 693, 10473, 14084, 2047, 1657, 543, 2630, 519, 1965, 8364, 335, 618, 269, 5564, 21725, 16198, 540, 803, 1470, 17304, 10044, 11606, 609, 2825, 4632, 7000, 513, 2178, 14967, 5211, 3310, 269, 5211, 856, 6503, 32290, 2199, 11159, 4162, 267, 543, 25998, 609, 8520, 1699, 1196, 323, 625, 543, 6422, 9386, 27177, 547, 2333, 28634, 5214, 2339, 13441, 538, 519, 27040, 3148, 267, 3976, 2870, 2127, 540, 2362, 982, 3339, 803, 1470, 17304, 10044, 11606, 269, 476, 1220, 277, 29021, 13456, 269, 2353, 2924, 11603, 269, 0, 2467, 616, 1896, 20887, 827, 4830, 1404, 585, 9002, 267, 20854, 267, 543, 1762, 1453, 563, 5278, 8263, 602, 4830, 1404, 1797, 5667, 10967, 14876, 1404, 269, 769, 4334, 267, 1866, 949, 2253, 547, 1745, 16944, 607, 952, 6028, 513, 1126, 547, 1404, 4805, 6920, 27823, 610, 10714, 995, 15970, 563, 5715, 8817, 7591, 9701, 2142, 7402, 2227, 3022, 454, 2026, 2484, 607, 3733, 26713, 9995, 2401, 267, 519, 17082, 540, 12624, 322, 746, 267, 568, 7255, 267, 891, 3575, 13522, 7948, 1406, 581, 2417, 689, 519, 5168, 269, 769, 1249, 267, 9995, 2401, 11099, 602, 4830, 1404, 1058, 711, 1152, 581, 7989, 24777, 267, 855, 9415, 563, 5715, 8817, 1404, 568, 606, 1898, 2511, 540, 1404, 538, 799, 1453, 616, 4847, 547, 1404, 676, 2933, 896, 519, 4585, 995, 3750, 540, 513, 7404, 2385, 563, 5715, 8817, 1404, 5654, 1114, 585, 1453, 540, 782, 6502, 543, 568, 3226, 6225, 538, 513, 1126, 779, 1646, 269, 7591, 5503, 2337, 1489, 5042, 1599, 543, 513, 1126, 779, 2702, 547, 1451, 563, 10214, 1498, 7317, 1404, 814, 1082, 2640, 267, 4830, 1404, 568, 4105, 269, 18763, 1404, 11942, 1966, 9010, 1983, 267, 5876, 267, 9639, 267, 543, 18094, 563, 7069, 26713, 9995, 2401, 11099, 602, 972, 616, 1614, 1883, 2093, 547, 3314, 950, 7598, 4830, 1404, 585, 1762, 1453, 563, 2108, 2704, 869, 707, 1126, 547, 1291, 2864, 982, 596, 1373, 519, 8258, 548, 14575, 269, 1411, 1810, 1405, 723, 547, 581, 519, 9913, 2707, 585, 707, 1453, 269, 14190, 873, 547, 2731, 2263, 519, 17909, 540, 741, 5876, 543, 7115, 2223, 9995, 2401, 3081, 563, 301, 6334, 267, 519, 2238, 513, 1126, 786, 4497, 538, 10446, 4268, 1759, 593, 2085, 269, 1717, 267, 519, 5686, 540, 9162, 543, 2238, 3214, 616, 2016, 1118, 513, 2462, 3017, 538, 1818, 519, 1034, 856, 540, 4830, 1404, 5503, 563, 2414, 948, 7520, 4830, 1404, 267, 9995, 2401, 7512, 3237, 547, 1413, 693, 519, 2010, 540, 9162, 789, 2461, 5356, 3214, 563, 306, 663, 2401, 11363, 7446, 1930, 25804, 9162, 602, 4497, 1453, 267, 8066, 741, 3007, 585, 6905, 5712, 269, 1306, 513, 1267, 267, 930, 540, 519, 1034, 9159, 9162, 616, 519, 14724, 267, 519, 6836, 543, 3020, 29202, 649, 4076, 782, 2097, 547, 917, 543, 2648, 563, 14300, 540, 9162, 602, 22937, 2933, 23182, 547, 4830, 1404, 5503, 1331, 4605, 2835, 267, 1148, 3785, 899, 7801, 543, 7206, 267, 13410, 267, 543, 7161, 269, 8479, 518, 1453, 949, 4324, 689, 513, 1126, 1606, 12522, 1404, 7997, 1141, 789, 666, 887, 600, 11884, 267, 1247, 4587, 1453, 949, 581, 811, 6899, 2519, 593, 835, 2534, 3476, 563, 8601, 519, 2640, 540, 4830, 1404, 267, 930, 3237, 3136, 547, 5855, 602, 6028, 1453, 547, 1404, 4805, 666, 1291, 547, 30627, 269, 3733, 26713, 9995, 2401, 2712, 2471, 3237, 711, 547, 4250, 30627, 855, 547, 9784, 621, 3079, 563, 14881, 1589, 972, 781, 513, 2462, 31605, 602, 649, 1058, 581, 4730, 609, 938, 3214, 782, 519, 942, 543, 602, 789, 1058, 2760, 581, 19252, 269, 1809, 621, 781, 2731, 1271, 547, 1450, 938, 3214, 547, 581, 19252, 1317, 602, 781, 950, 5876, 568, 4535, 269, 1358, 723, 2230, 547, 1589, 267, 789, 723, 2230, 547, 2263, 267, 789, 1831, 811, 3860, 543, 4199, 995, 1004, 2223, 3081, 9995, 2401, 563, 4407, 1404, 5503, 568, 4830, 267, 3237, 262, 1909, 538, 8716, 543, 14123, 22072, 1404, 5503, 568, 1883, 269, 3245, 7446, 5078, 9162, 547, 2870, 513, 5432, 543, 6899, 6296, 267, 3237, 2482, 519, 24536, 585, 6126, 267, 2318, 267, 543, 2500, 4830, 1404, 563, 308, 2955, 5753, 781, 9314, 338, 454, 12234, 267, 3237, 991, 547, 1491, 519, 942, 547, 1174, 741, 1453, 779, 4690, 547, 5000, 811, 3811, 4830, 1404, 563, 22081, 798, 649, 948, 938, 3214, 1831, 4830, 5716, 286, 594, 1589, 621, 781, 782, 827, 875, 649, 1305, 909, 938, 5321, 865, 649, 666, 2731, 2007, 883, 519, 1184, 267, 3843, 547, 1205, 713, 2469, 543, 1305, 10853, 6788, 269, 589, 835, 4458, 6040, 814, 827, 513, 835, 18826, 3007, 12732, 269, 589, 1079, 4458, 6040, 814, 513, 7008, 540, 3764, 811, 267, 543, 865, 593, 543, 865, 8521, 269, 1924, 594, 1589, 621, 781, 827, 4259, 909, 1346, 2731, 10853, 6788, 585, 3054, 543, 707, 1126, 2223, 6941, 9995, 2401, 563, 12024, 1022, 824, 5578, 602, 3237, 610, 1453, 1451, 267, 4830, 1404, 3587, 4443, 543, 811, 5432, 269, 5221, 1453, 666, 7903, 741, 5876, 547, 519, 3970, 1282, 22072, 1404, 5503, 267, 789, 786, 2693, 2253, 547, 1413, 4464, 547, 621, 269, 5753, 666, 849, 1020, 513, 2631, 540, 15366, 3972, 998, 4830, 1404, 563, 17606, 781, 513, 2603, 827, 7115, 585, 519, 3214, 267, 855, 849, 7115, 585, 519, 3237, 2223, 3081, 3733, 26713, 454, 2108, 3383, 950, 596, 2811, 693, 519, 9702, 5428, 267, 596, 666, 10004, 609, 707, 2828, 267, 543, 596, 666, 723, 606, 2937, 6643, 1510, 2348, 547, 5855, 827, 19278, 519, 3214, 3034, 288, 12736, 2914, 514, 23063, 6672, 454, 2414, 9995, 2401, 267, 3811, 4830, 1404, 568, 513, 3094, 2914, 514, 3510, 267, 27548, 513, 2318, 6364, 585, 1453, 543, 3237, 269, 898, 779, 513, 1907, 602, 666, 7668, 3214, 1312, 538, 519, 4090, 543, 585, 1082, 1296, 547, 2097, 563, 17606, 781, 606, 16779, 4743, 540, 22920, 543, 513, 15970, 11802, 2507, 320, 12624, 322, 746, 4090, 2223, 1352, 3081, 563, 1607, 2376, 729, 3812, 543, 25102, 5344, 676, 32100, 540, 717, 2465, 802, 269, 0, 2467, 616, 513, 1297, 540, 2621, 8345, 538, 27068, 1142, 1032, 267, 1519, 519, 11197, 16635, 543, 519, 28610, 16635, 563, 7197, 1004, 917, 602, 23863, 568, 519, 942, 950, 519, 3141, 4422, 1524, 269, 1809, 1705, 596, 917, 602, 519, 3141, 3085, 1405, 2965, 1305, 286, 5502, 267, 3047, 29226, 883, 14334, 267, 4758, 721, 519, 21903, 602, 519, 3141, 568, 4259, 269, 1924, 1018 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7332, 681, 30389, 4432, 924, 540, 3345, 3127, 454, 5649, 661, 5174, 809, 4033, 4813, 1846, 454, 20428, 5729, 630, 11742, 2187, 305, 5819, 28753, 531, 4676, 912, 14630, 540, 20520, 912, 763, 1353, 540, 519, 1585, 512, 4536, 540, 519, 15194, 5049, 538, 19744, 3127, 814, 13631, 519, 3007, 540, 513, 1297, 540, 5640, 538, 2022, 7115, 1974, 269, 898, 814, 1044, 6444, 602, 972, 729, 21712, 2497, 538, 10120, 4095, 1135, 640, 269, 589, 11984, 814, 849, 1044, 1500, 538, 519, 6805, 22420, 15194, 5049, 543, 519, 7332, 15194, 16918, 799, 2706, 574, 12723, 3294, 936, 519, 6805, 15194, 5049, 609, 519, 10661, 540, 519, 16156, 29001, 520, 563, 7312, 1543, 814, 1044, 11643, 454, 305, 520, 902, 1299, 5623, 454, 25802, 1434, 1344, 563, 4537, 1695, 26588, 2378, 4446, 20393, 454, 2252, 2009, 4896, 723, 695, 6359, 571, 1920, 3529, 540, 28753, 531, 4446, 20393, 911, 756, 540, 5900, 1442, 9031, 5225, 2671, 609, 803, 269, 0, 763, 3504, 2749, 540, 645, 8475, 543, 519, 4478, 10806, 540, 20770, 616, 1634, 538, 4276, 609, 519, 13486, 2679, 269, 1809, 609, 519, 4412, 4854, 25084, 538, 519, 1433, 540, 31694, 543, 519, 5393, 1271, 2495, 267, 621, 5654, 2864, 8909, 269, 7073, 20770, 814, 513, 16854, 1909, 547, 1404, 1934, 543, 1631, 563, 1103, 327, 5306, 1315, 12474, 454, 763, 1641, 540, 20770, 538, 519, 3883, 540, 31694, 568, 14284, 676, 930, 13039, 610, 1152, 5768, 3373, 9619, 269, 2290, 610, 519, 824, 14374, 547, 519, 4143, 5939, 2818, 2356, 8507, 538, 606, 968, 296, 1810, 1406, 917, 892, 610, 606, 968, 296, 4076, 4862, 540, 621, 892, 607, 606, 2626, 269, 1717, 267, 9444, 519, 2818, 540, 513, 6237, 27685, 673, 5939, 594, 26906, 6862, 519, 2818, 540, 513, 23837, 30798, 6785, 875, 519, 5888, 267, 519, 4282, 543, 267, 1657, 782, 267, 519, 2104, 540, 20770, 729, 3908, 538, 942, 269, 3502, 547, 2446, 519, 19071, 1242, 540, 519, 4936, 7826, 5783, 269, 11330, 515, 1097, 568, 711, 3622, 835, 540, 519, 23163, 5396, 540, 23075, 547, 581, 6026, 269, 901, 568, 849, 11214, 24669, 267, 1317, 538, 713, 1259, 519, 2250, 543, 849, 3810, 22521, 11051, 4330, 538, 519, 6426, 1223, 581, 3362, 4857, 269, 901, 568, 4010, 1018, 519, 5783, 540, 7507, 568, 3843, 547, 2057, 609, 782, 922, 1522, 630, 322, 3300, 3146, 4146, 264, 543, 609, 519, 948, 540, 519, 20908, 3726, 1931, 609, 1390, 1967, 269, 4107, 540, 519, 5449, 17557, 13039, 723, 1279, 2094, 8678, 519, 2915, 5733, 540, 7507, 543, 723, 3976, 8120, 607, 2899, 968, 3698, 5050, 20766, 892, 543, 1118, 2370, 2367, 1631, 563, 763, 3504, 2749, 540, 645, 8475, 729, 3710, 676, 519, 865, 10777, 968, 14140, 1119, 7949, 892, 715, 574, 16967, 269, 634, 1858, 6013, 1063, 519, 661, 25045, 6233, 543, 570, 580, 5142, 8933, 267, 538, 1018, 568, 1631, 12925, 269, 634, 4583, 18975, 540, 645, 8475, 849, 3576, 1747, 972, 269, 901, 3801, 547, 26595, 8103, 538, 18326, 1996, 2696, 814, 267, 607, 568, 1134, 1634, 267, 8854, 3520, 1026, 569, 4636, 269, 634, 10539, 540, 4654, 12462, 321, 629, 1076, 14615, 2322, 606, 1439, 547, 519, 554, 755, 548, 543, 11861, 548, 269, 634, 10806, 540, 20770, 25577, 1063, 15438, 3026, 321, 1276, 611, 928, 3960, 541, 543, 645, 19977, 9579, 541, 563, 4913, 267, 1813, 547, 645, 19977, 9579, 541, 779, 16912, 1632, 267, 519, 2899, 3532, 10504, 729, 19942, 936, 676, 2696, 547, 519, 2405, 334, 6261, 619, 2103, 12462, 300, 2940, 2367, 324, 751, 30448, 1107, 9093, 564, 2131, 601, 26158, 901, 5949, 538, 519, 1032, 476, 276, 4375, 7460, 269, 1369, 835, 3781, 543, 1510, 513, 1390, 3956, 540, 6370, 269, 634, 1686, 540, 3504, 20770, 896, 519, 30634, 1372, 753, 7475, 968, 531, 2819, 892, 1310, 519, 476, 276, 269, 3184, 540, 519, 1433, 540, 12253, 563, 1432, 3788, 540, 519, 3504, 2749, 540, 645, 8475, 2221, 286, 1306, 1434, 607, 4986, 269, 5221, 2696, 814, 14733, 3571, 10385, 593, 713, 29043, 2749, 267, 607, 538, 22819, 31109, 476, 7906, 281, 3066, 912, 2108, 4517, 519, 2244, 4927, 12152, 1076, 543, 28194, 281, 585, 1169, 3483, 540, 519, 28789, 4927, 581, 5340, 1996, 20770, 267, 547, 1118, 519, 2244, 540, 20770, 513, 964, 15684, 1510, 606, 9468, 656, 3034, 763, 4583, 623, 1120, 17868, 7467, 814, 11478, 538, 12670, 2094, 5927, 648, 337, 30247, 4083, 543, 3568, 519, 865, 10777, 1772, 6255, 541, 19835, 689, 519, 5449, 7532, 2427, 540, 519, 2749, 269, 589, 4544, 10766, 538, 519, 2899, 5835, 2749, 3774, 1472, 645, 8475, 563, 4407, 519, 6196, 11620, 2965, 2141, 12909, 827, 519, 2749, 540, 645, 8475, 630, 514, 4436, 645, 17156, 1070, 519, 1715, 11620, 6257, 630, 19640, 264, 20770, 538, 519, 3883, 540, 31694, 269, 898, 568, 711, 513, 21055, 2749, 267, 855, 6763, 607, 513, 3090, 585, 519, 1025, 5684, 1335, 748, 267, 31561, 520, 9317, 4874, 1492, 1143, 540, 519, 3504, 1158, 10504, 269, 20770, 538, 31694, 568, 4061, 547, 581, 5701, 607, 4412, 4854, 563, 763, 20770, 568, 519, 2040, 540, 513, 9769, 540, 1614, 9988, 269, 634, 15743, 267, 519, 28458, 630, 719, 540, 519, 4262, 264, 543, 519, 7301, 22445, 630, 5408, 31694, 476, 1626, 281, 1724, 1916, 763, 15743, 267, 607, 4330, 538, 31694, 476, 1321, 281, 280, 267, 568, 30616, 269, 4340, 547, 31694, 476, 1724, 281, 273, 267, 646, 3947, 519, 28458, 630, 719, 540, 519, 4262, 264, 1010, 1379, 267, 519, 17599, 543, 6392, 630, 517, 3618, 1916, 4415, 519, 28458, 689, 519, 4262, 621, 568, 827, 519, 13099, 2329, 610, 519, 4936, 7826, 269, 5783, 269, 901, 1249, 729, 5063, 6444, 676, 519, 1101, 6963, 619, 543, 4986, 814, 4957, 689, 713, 1249, 2394, 2221, 269, 25175, 945, 6811, 602, 621, 568, 827, 606, 630, 7631, 748, 264, 2104, 4165, 747, 2077, 568, 2901, 27102, 519, 2347, 19359, 1063, 519, 13400, 16322, 2886, 543, 519, 3105, 543, 1699, 18567, 543, 3527, 540, 519, 4936, 5783, 267, 610, 646, 740, 12742, 547, 519, 7839, 26760, 540, 519, 865, 10777, 968, 293, 583, 584, 1143, 892, 1510, 6086, 11868, 713, 5098, 1759, 593, 1010, 1378, 8404, 538, 519, 6426, 2638, 936, 563, 2690, 1383, 267, 519, 7301, 22445, 666, 581, 1336, 538, 31694, 476, 1724, 689, 14235, 476, 1556, 269, 901, 22445, 568, 4330, 1934, 607, 519, 28458, 856, 540, 519, 3618, 269, 589, 968, 25269, 850, 892, 4207, 543, 18911, 577, 2006, 540, 519, 1101, 28458, 269, 901, 28458, 540, 519, 3618, 568, 15468, 17557, 1143, 538, 4276, 609, 519, 1533, 1379, 7330, 269, 2060, 519, 1101, 6963, 619, 267, 519, 17557, 5783, 729, 2899, 18274, 539, 540, 519, 5667, 701, 752, 762, 2349, 5684, 1335, 625, 540, 519, 4936, 7826, 5783, 269, 3807, 607, 519, 11317, 540, 3504, 20770, 2899, 10847, 539, 519, 3141, 607, 741, 18678, 5601, 269, 634, 13283, 585, 519, 3141, 568, 1360, 7298, 538, 519, 4936, 5783, 563, 3719, 519, 5939, 5443, 543, 2021, 540, 519, 27685, 673, 8075, 723, 1471, 4601, 8959, 547, 4625, 5372, 519, 1025, 5684, 1335, 748, 6891, 602, 814, 8854, 856, 609, 519, 1702, 6591, 998, 519, 26746, 609, 519, 10752, 540, 519, 22258, 543, 849, 547, 4734, 891, 18408, 607, 789, 616, 269, 1924, 621, 666, 581, 9108, 10924, 602, 519, 20766, 540, 7507, 267, 945, 1869, 1289, 2933, 968, 299, 9801, 534, 932, 11699, 5608, 786, 11654, 519, 20655, 540, 1004, 945, 616, 21705, 547, 519, 20227, 811, 25525, 3585, 982, 519, 3993, 3919, 538, 7507, 3294, 269, 898, 568, 2907, 10423, 2221, 602, 519, 27685, 673, 13039, 616, 968, 9188, 1068, 539, 540, 782, 1434, 14326, 2108, 563, 6097, 547, 519, 6240, 540, 519, 6905, 791, 675, 6891, 538, 606, 1367, 267, 4330, 538, 15623, 476, 1321, 281, 6246, 268, 3393, 912, 2108, 2691, 519, 11515, 534, 6891, 568, 8854, 856, 540, 513, 812, 267, 646, 3802, 996, 998, 3819, 4025, 267, 5275, 1964, 267, 543, 1265, 996, 9039, 269, 3973, 646, 1094, 603, 267, 594, 786, 2132, 883, 1250, 2777, 689, 950, 576, 594, 3357, 856, 282, 543, 950, 646, 568, 2097, 267, 646, 1265, 996, 621, 8900, 267, 25626, 267, 543, 21959, 1639, 269, 3973, 979, 996, 646, 267, 543, 512, 752, 996, 609, 5128, 5722, 824, 14326, 811, 29063, 982, 5128, 267, 543, 789, 4283, 538, 543, 17743, 972, 281, 543, 519, 2063, 1533, 540, 602, 812, 568, 8338, 982, 519, 1101, 269, 4634, 865, 4927, 621, 581, 849, 21349, 713, 29063, 5108, 3034, 763, 2462, 3017, 609, 519, 4936, 7826, 5783, 568, 602, 621, 814, 2760, 1044, 15685, 689, 519, 632, 21082, 14326, 2094, 922, 27299, 269, 2701, 5189, 519, 646, 637, 625, 267, 12758, 547, 873, 267, 9450, 519, 10189, 267, 543, 5170, 547, 561, 675, 1004, 2786, 883, 829, 1288, 2221, 269, 7507, 814, 2760, 4957, 543, 1281, 711, 21199, 922, 5667, 701, 752, 762, 1025, 5684, 1335, 625, 563, 763, 2777, 540, 20770, 568, 4904, 609, 11515, 534, 14326, 630, 12742, 344, 264, 2221, 543, 621, 786, 711, 581, 1279, 1354, 519, 1390, 608, 17474, 568, 4862, 912, 2108, 4517, 646, 524, 3072, 1522, 1176, 609, 513, 2178, 5639, 267, 6031, 267, 20770, 519, 1390, 568, 15468, 267, 568, 15468, 267, 543, 568, 1831, 519, 3110, 2787, 540, 1821, 2812, 267, 543, 519, 3180, 540, 1169, 28067, 6891, 267, 543, 513, 21799, 540, 1169, 11515, 534, 543, 13842, 995, 6177, 1848, 630, 3725, 341, 269, 476, 1240, 267, 273, 994, 289, 629, 14125, 4330, 538, 519, 1433, 540, 31694, 5161, 540, 912, 25823, 534, 267, 519, 5783, 540, 7507, 543, 519, 15468, 17557, 932, 11699, 786, 26595, 630, 325, 3373, 264, 543, 1927, 267, 538, 1840, 547, 10847, 532, 513, 7301, 5601, 267, 786, 30201, 1393, 3020, 21071, 610, 13794, 540, 519, 22258, 269, 1306, 606, 10324, 1533, 1379, 267, 519, 7330, 786, 1404, 513, 3844, 1909, 269, 1809, 2221, 779, 20770, 786, 849, 2097, 547, 606, 23589, 1439, 267, 1175, 899, 519, 3504, 10806, 2899, 1705, 269, 634, 1433, 540, 31694, 3184, 476, 1240, 3947, 2143, 1344, 827, 713, 269, 3807, 4584, 909, 519, 6426, 3054, 543, 1224, 621, 609, 707, 8118, 4064, 543, 2247, 563, 9213, 779, 20770, 786, 4166, 2408, 968, 558, 30876, 582, 550, 6100, 901, 10039, 547, 782, 18125, 540, 4948, 1272, 269, 2311, 713, 1448, 519, 1004, 1590, 6430, 2436, 789, 1616, 547, 1246, 519, 2915, 5733, 543, 968, 577, 718, 10622, 892, 540, 20770, 610, 2436, 789, 1616, 547, 2611, 21705, 547, 2696, 563, 2690, 519, 1004, 621, 3085, 1406, 2339, 2436, 789, 3494, 538, 519, 10752, 540, 20770, 610, 2436, 789, 1152, 7119, 538, 519, 10847, 630, 22238, 2406, 968, 300, 1278, 3047, 892, 543, 713, 593, 9530, 904, 264, 1317, 540, 12219, 24476, 630, 4754, 1100, 3476, 4444, 543, 6133, 267, 1294, 31694, 476, 1724, 1040, 1358, 1491, 519, 968, 5658, 540, 519, 28458, 892, 543, 786, 581, 4503, 269, 10251, 267, 519, 5354, 540, 891, 1004, 786, 1491, 606, 3742, 851, 538, 519, 20655, 540, 13794, 540, 519, 3020, 22258, 269, 634, 1219, 14212, 267, 26723, 2350, 1143, 543, 17181, 540, 1978, 2516, 540, 1004, 814, 5063, 1044, 6707, 7318, 936, 519, 2250, 476, 274, 1296, 1210, 513, 6240, 602, 814, 2907, 1044, 1031, 1896, 2053, 630, 295, 1122, 27318, 12480, 624, 923, 1916, 10190, 621, 779, 1732, 547, 6529, 547, 519, 6478, 540, 2696, 563, 289, 1043, 18627, 689, 3751, 6276, 19405, 0, 12606, 634, 21069, 18124, 538, 19446, 19836, 305, 760, 476, 24798, 335, 609, 32680, 23866, 454, 1103, 590, 1998, 321, 731, 267, 8701, 12217, 941, 4767, 547, 6146, 3043, 15515, 8898, 23522, 1282, 5614, 267, 950, 519, 23522, 941, 16290, 538, 519, 4262, 4672, 269, 634, 12217, 1287, 8399, 539, 547, 21461, 519, 1286, 322, 13293, 267, 799, 7283, 543, 941, 13881, 1282, 519, 4672, 6954, 4832, 543, 15489, 563, 335, 6897, 2769, 538, 31448, 1863, 4647, 454, 763, 4139, 5742, 585, 11094, 540, 7186, 267, 11848, 8693, 8177, 10495, 267, 2136, 2276, 24959, 11752, 543, 1082, 3056, 8701, 7703, 27563, 723, 6829, 18205, 4145, 827, 519, 1764, 540, 2916, 1689, 267, 609, 930, 17782, 14486, 676, 476, 13975, 271, 563, 763, 2360, 540, 2916, 1689, 616, 1034, 7096, 538, 519, 7013, 851, 540, 519, 8701, 7703, 781, 2039, 267, 543, 713, 568, 8197, 1141, 1713, 12159, 540, 2199, 5095, 814, 1044, 4767, 269, 634 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 5278, 5496, 3988, 949, 2154, 596, 547, 581, 538, 1445, 7154, 610, 547, 946, 707, 1780, 998, 1883, 0, 22826, 11671, 323, 5744, 5753, 547, 21079, 2598, 4533, 633, 29007, 543, 32754, 15474, 4804, 454, 1607, 2376, 6663, 547, 1683, 4052, 2645, 543, 1702, 602, 596, 666, 946, 547, 1655, 1489, 543, 20741, 5778, 323, 5744, 1053, 538, 707, 4928, 269, 5272, 2875, 596, 2743, 786, 723, 2189, 2115, 855, 950, 519, 2189, 2115, 540, 513, 5778, 323, 5744, 2875, 616, 711, 1558, 621, 666, 7519, 1565, 585, 782, 543, 2569, 519, 8458, 540, 1967, 585, 519, 2875, 19403, 811, 454, 7617, 568, 621, 281, 15214, 13808, 610, 11838, 888, 6701, 596, 7334, 827, 2436, 707, 1126, 568, 5409, 5562, 630, 553, 1762, 1453, 1419, 616, 1070, 2965, 814, 15214, 13808, 610, 814, 11838, 630, 16920, 1549, 4347, 7228, 15214, 13808, 13081, 1040, 901, 2376, 6663, 547, 948, 3237, 543, 7855, 1174, 519, 11029, 3604, 543, 3091, 5796, 585, 5885, 1453, 538, 519, 1753, 543, 693, 1153, 19403, 811, 454, 1432, 616, 519, 2038, 4191, 543, 2589, 540, 20150, 25400, 13081, 888, 8505, 1143, 25400, 13081, 630, 528, 20284, 585, 2110, 264, 568, 27537, 676, 513, 7411, 609, 1514, 2792, 543, 16625, 3270, 540, 7180, 269, 901, 2376, 7710, 891, 1079, 2127, 538, 811, 1469, 4758, 513, 3102, 3391, 547, 519, 2038, 4191, 543, 2589, 540, 20284, 19403, 811, 454, 1432, 798, 649, 1611, 676, 11671, 323, 1751, 267, 11671, 323, 1853, 7217, 267, 543, 11671, 20200, 673, 888, 7437, 2799, 4656, 267, 8417, 543, 1620, 649, 666, 1711, 5054, 267, 2238, 543, 4205, 602, 5512, 13784, 269, 1284, 991, 547, 1711, 513, 1158, 1141, 3025, 568, 7608, 267, 3769, 543, 9976, 585, 945, 789, 616, 19403, 811, 454, 3963, 568, 7591, 865, 5668, 27701, 585, 5753, 609, 24894, 888, 25440, 568, 606, 1898, 851, 540, 3395, 909, 269, 634, 2640, 540, 1404, 3310, 782, 2168, 543, 3929, 3344, 540, 1646, 689, 3395, 6793, 547, 1565, 875, 547, 2170, 609, 835, 1776, 269, 1284, 18783, 602, 1453, 786, 3274, 917, 875, 547, 1404, 610, 581, 2111, 547, 2048, 2998, 1404, 685, 609, 1152, 513, 2370, 19015, 855, 1404, 666, 2965, 581, 1360, 2352, 585, 930, 1453, 543, 538, 1880, 1346, 609, 9124, 19403, 811, 454, 31636, 11150, 585, 15706, 609, 4515, 895, 543, 13038, 4804, 5262, 2159, 625, 630, 303, 7876, 291, 994, 1607, 2376, 11828, 513, 2039, 540, 2994, 602, 666, 581, 1031, 676, 519, 2792, 7649, 547, 1020, 543, 7794, 5732, 32705, 6786, 799, 568, 2565, 538, 2417, 532, 519, 1646, 540, 2792, 1983, 19403, 811, 454, 31572, 4911, 518, 267, 513, 3391, 585, 14268, 543, 11334, 454, 1607, 2376, 6663, 547, 1683, 513, 2312, 1620, 540, 10845, 781, 1082, 18125, 267, 689, 922, 4214, 543, 3123, 547, 922, 2589, 543, 2359, 2553, 269, 1635, 30015, 6000, 609, 713, 1702, 267, 649, 666, 1732, 1489, 938, 1453, 543, 1053, 538, 741, 3460, 540, 3929, 2208, 543, 6043, 19403, 811, 454, 1321, 18467, 547, 6435, 4841, 3683, 2492, 5668, 27701, 29007, 454, 10743, 693, 1153, 1995, 782, 5686, 540, 17613, 1142, 1554, 269, 1879, 621, 782, 4991, 1932, 1454, 519, 2875, 781, 7180, 666, 1831, 4101, 269, 3371, 616, 476, 1321, 4052, 543, 2653, 3562, 14025, 2994, 585, 632, 268, 525, 5632, 908, 4101, 7180, 538, 519, 4928, 19403, 811, 454, 306, 29022, 12267, 585, 15706, 5438, 1329, 1424, 6751, 17162, 630, 3682, 11398, 1299, 13038, 4804, 5262, 2159, 625, 994, 1432, 2306, 513, 1650, 11576, 800, 286, 1548, 3483, 1281, 621, 4196, 1369, 519, 7981, 4065, 15858, 286, 1215, 798, 596, 2708, 513, 11576, 800, 9452, 779, 1871, 286, 901, 2376, 4145, 1312, 519, 3069, 543, 2259, 540, 11576, 800, 12267, 585, 2516, 540, 22996, 7680, 6751, 17162, 1369, 1022, 10661, 269, 2755, 519, 2376, 9607, 519, 3390, 540, 3351, 2358, 519, 11576, 800, 9452, 1935, 609, 2516, 267, 621, 1281, 711, 840, 2850, 922, 946, 609, 606, 1367, 3231, 1676, 4352, 930, 540, 519, 2553, 949, 2154, 513, 2370, 16369, 19403, 811, 454, 2419, 4069, 568, 513, 20429, 281, 14893, 9828, 585, 3687, 574, 2358, 20409, 328, 2293, 540, 19634, 333, 454, 16352, 2370, 610, 1100, 3903, 568, 1629, 6756, 532, 543, 814, 513, 2942, 1764, 593, 606, 10572, 781, 10866, 540, 5020, 269, 769, 713, 5816, 267, 649, 616, 2469, 547, 2263, 1412, 2419, 4069, 607, 513, 20429, 262, 547, 7668, 519, 1367, 609, 519, 1797, 547, 2769, 741, 7375, 2066, 741, 3232, 1272, 19403, 811, 454, 2750, 600, 1456, 519, 12706, 5455, 540, 17832, 7970, 2334, 8048, 547, 5668, 27701, 29007, 281, 589, 9608, 21887, 454, 1103, 713, 2376, 25414, 513, 1268, 609, 9659, 538, 1010, 3735, 13683, 625, 786, 2671, 1010, 2123, 5133, 4481, 593, 24970, 1027, 757, 543, 519, 991, 585, 2417, 19792, 960, 547, 1413, 3564, 519, 7525, 24970, 1027, 550, 269, 5502, 547, 1413, 693, 513, 2039, 540, 4259, 2621, 602, 1223, 723, 8329, 547, 519, 12136, 540, 19326, 602, 4161, 1866, 19403, 811, 0, 288, 26393, 4280, 803, 19108, 827, 8076, 908, 23278, 4925, 1700, 9767, 917, 1700, 29006, 8748, 2984, 596, 5531, 827, 875, 1018, 596, 4076, 2944, 814, 1500, 513, 3017, 538, 930, 2158, 1272, 888, 296, 15321, 3028, 547, 513, 1875, 17416, 4604, 630, 18314, 267, 2965, 264, 543, 519, 4604, 2818, 616, 2141, 10213, 2984, 827, 875, 968, 311, 814, 5949, 892, 543, 875, 968, 312, 729, 8748, 892, 2943, 267, 1250, 2976, 1807, 1582, 3081, 267, 968, 1692, 798, 596, 917, 9495, 901, 3587, 513, 6161, 585, 3906, 799, 798, 711, 723, 6268, 607, 851, 540, 741, 5692, 3948, 269, 5345, 534, 1498, 1082, 12545, 3180, 18177, 519, 15445, 10615, 267, 1906, 1118, 6268, 8763, 563, 291, 1157, 918, 745, 1122, 518, 2073, 945, 814, 2854, 827, 1445, 2516, 267, 849, 11339, 543, 2090, 519, 946, 540, 2984, 538, 6268, 543, 1454, 540, 1018, 594, 786, 2671, 609, 586, 685, 718, 2221, 568, 689, 1010, 960, 563, 5575, 267, 1018, 568, 513, 1650, 286, 595, 637, 6202, 630, 1220, 278, 267, 476, 273, 1196, 4700, 11225, 1650, 607, 968, 2507, 553, 11072, 602, 2627, 1282, 606, 5967, 538, 799, 519, 16045, 6257, 513, 3510, 267, 2356, 609, 513, 4098, 267, 513, 1647, 267, 543, 606, 1439, 267, 865, 602, 519, 11001, 666, 7001, 513, 2347, 2856, 543, 11753, 621, 267, 16856, 267, 883, 519, 12007, 2239, 6100, 918, 745, 1122, 518, 11840, 919, 593, 602, 2822, 842, 542, 676, 6031, 602, 513, 1650, 968, 2507, 1372, 1023, 609, 606, 1995, 540, 606, 2680, 267, 1982, 267, 3092, 269, 602, 814, 513, 1448, 610, 513, 3483, 1848, 9452, 15320, 689, 2013, 1353, 538, 602, 2013, 1353, 568, 513, 1650, 602, 13290, 547, 1174, 513, 1062, 267, 711, 606, 1367, 2680, 610, 1995, 282, 513, 1650, 9388, 609, 606, 1995, 602, 814, 513, 1448, 269, 12267, 1683, 1806, 540, 4295, 24866, 267, 540, 1713, 2621, 563, 2467, 616, 1896, 5301, 585, 2984, 602, 666, 581, 2808, 2976, 894, 269, 1452, 1331, 18995, 519, 2528, 267, 5009, 4295, 2418, 267, 23142, 543, 17923, 1699, 2528, 267, 3246, 6044, 630, 534, 1278, 1259, 547, 10141, 2528, 1070, 543, 30070, 267, 11121, 267, 543, 5924, 8716, 630, 15161, 1040, 12267, 666, 581, 540, 519, 1739, 2010, 281, 5869, 2984, 267, 1967, 2984, 267, 3992, 268, 3598, 2740, 2984, 267, 4295, 1871, 2984, 267, 2686, 2984, 267, 543, 3450, 2984, 563, 3383, 1946, 2995, 513, 1650, 286, 12267, 1118, 1344, 4443, 547, 3314, 267, 811, 1825, 15344, 267, 543, 7148, 883, 7553, 269, 1280, 2984, 547, 581, 23674, 630, 25075, 728, 17452, 1070, 606, 2976, 1807, 2115, 547, 3715, 7355, 585, 2984, 269, 918, 745, 1122, 518, 5267, 2947, 1114, 7355, 912, 268, 24956, 545, 1700, 529, 621, 5168, 995, 286, 1772, 972, 5168, 538, 519, 1650, 286, 630, 8855, 968, 13700, 3578, 892, 5673, 593, 875, 596, 1413, 693, 1945, 8094, 268, 7638, 16666, 1700, 529, 972, 513, 13009, 540, 2963, 1394, 547, 519, 2707, 286, 2052, 596, 1265, 713, 1650, 1586, 888, 268, 4762, 7808, 1700, 529, 972, 513, 991, 547, 1832, 519, 1650, 14804, 888, 268, 22731, 8247, 1700, 6343, 568, 519, 4493, 585, 519, 1650, 286, 1548, 12592, 10213, 519, 1650, 286, 543, 454, 268, 23830, 1700, 6343, 1281, 519, 1650, 2099, 286, 824, 1004, 286, 824, 6753, 286, 824, 3292, 888, 5629, 596, 723, 3964, 7355, 585, 519, 2984, 6394, 267, 972, 786, 991, 547, 581, 930, 1259, 547, 7001, 2984, 269, 1924, 1020, 513, 1544, 269, 12267, 991, 547, 581, 786, 5944, 3838, 267, 711, 1071, 518, 1027, 282, 13006, 543, 6592, 282, 543, 6394, 538, 513, 2318, 3510, 269, 11814, 532, 2984, 568, 606, 1383, 1141, 519, 20038, 585, 3425, 538, 1382, 1590, 581, 2808, 269, 3657, 519, 2984, 6394, 14804, 569, 286, 6496, 10213, 519, 2984, 1267, 538, 2370, 610, 1100, 1981, 286, 3657, 2984, 5143, 32380, 888, 5629, 519, 2984, 723, 1044, 6394, 267, 7421, 543, 8989, 1346, 2984, 568, 519, 3803, 1900, 269, 9453, 713, 267, 782, 519, 3105, 960, 729, 585, 562, 4381, 269, 901, 3803, 1900, 8076, 919, 519, 1650, 269, 595, 637, 6202, 2488, 3362, 3015, 5583, 585, 2079, 269, 0, 305, 565, 2401, 7358, 2209, 616, 519, 5347, 2627, 15888, 256, 1358, 7500, 5066, 619, 547, 11741, 543, 24609, 7252, 267, 971, 607, 9897, 543, 13210, 269, 2060, 741, 6791, 267, 789, 2327, 7123, 543, 14463, 4070, 7252, 602, 16641, 5230, 13907, 543, 4365, 2175, 563, 1432, 1281, 713, 2816, 4125, 888, 23330, 908, 513, 2039, 540, 5066, 619, 547, 11741, 7252, 454, 8139, 1114, 11934, 543, 4070, 2326, 547, 3035, 2838, 735, 9146, 4441, 454, 28444, 1005, 7252, 616, 5265, 5423, 585, 735, 9146, 454, 3849, 3286, 532, 16945, 5468, 585, 2500, 735, 9146, 454, 16729, 1808, 3270, 585, 6099, 735, 9146, 2164, 454, 3849, 17518, 547, 3106, 4808, 1282, 3684, 5106, 454, 3519, 2265, 532, 2834, 5826, 11974, 593, 519, 16945, 454, 10870, 867, 3215, 609, 4070, 610, 4155, 1212, 9749, 607, 2877, 454, 28444, 1005, 11741, 539, 7252, 2743, 5860, 543, 5347, 1145, 4441, 454, 1692, 798, 594, 1205, 883, 713, 4876, 888, 2414, 1831, 513, 6406, 14716, 17029, 2401, 7358, 1807, 267, 596, 2356, 2347, 513, 27466, 525, 1222, 269, 28678, 4170, 949, 4268, 267, 855, 12820, 3622, 2154, 5729, 476, 1015, 269, 0, 4263, 519, 1605, 22770, 5662, 593, 519, 1605, 22770, 1554, 540, 519, 1605, 22770, 3923, 540, 476, 4489, 279, 267, 606, 13778, 3184, 538, 1158, 1686, 729, 4547, 547, 513, 2673, 607, 519, 14022, 626, 823, 3357, 883, 1198, 267, 10678, 519, 1973, 338, 1117, 540, 519, 3689, 2622, 2782, 269, 769, 606, 8216, 267, 2185, 1296, 540, 29287, 13137, 267, 799, 1185, 18534, 9464, 519, 23786, 5251, 543, 3144, 6634, 540, 2729, 267, 30403, 269, 769, 5507, 602, 1554, 267, 519, 9576, 7731, 7902, 593, 519, 2545, 935, 344, 540, 21207, 532, 5069, 20066, 513, 1297, 540, 2053, 607, 5215, 10356, 538, 519, 26864, 547, 8661, 519, 3377, 267, 741, 8188, 620, 697, 609, 513, 3575, 540, 795, 889, 7976, 543, 14436, 8323, 269, 769, 1200, 19701, 602, 10543, 267, 10348, 6307, 267, 519, 10348, 3117, 677, 547, 3751, 6723, 966, 267, 3576, 547, 1200, 19701, 547, 3561, 519, 1554, 779, 4090, 748, 10207, 563, 763, 4144, 776, 28678, 454, 1556, 8734, 476, 4489, 279, 454, 291, 1638, 1101, 267, 4764, 538, 519, 12784, 269, 634, 6574, 1554, 538, 519, 1158, 779, 1686, 269, 634, 6186, 626, 823, 729, 9896, 693, 476, 276, 600, 1299, 8165, 30403, 693, 476, 1556, 269, 1133, 2193, 14880, 3357, 547, 14254, 267, 1299, 693, 476, 1556, 269, 649, 4682, 593, 547, 519, 2545, 935, 344, 547, 26250, 519, 1804, 15624, 799, 1185, 4646, 3544, 269, 2311, 476, 1321, 269, 1789, 269, 649, 4682, 856, 1586, 1299, 519, 2527, 539, 13164, 540, 519, 2871, 1841, 5129, 519, 2817, 4165, 1335, 1299, 13348, 5328, 8964, 267, 1299, 519, 1884, 1335, 540, 519, 27469, 269, 670, 4007, 24921, 1299, 1454, 15131, 269, 2311, 476, 274, 269, 1428, 649, 22755, 547, 519, 4975, 538, 519, 26311, 4764, 1299, 1185, 513, 14952, 331, 748, 21200, 269, 634, 2818, 540, 519, 1920, 3357, 547, 7401, 1299, 1287, 930, 26146, 3722, 306, 267, 654, 305, 27602, 3092, 269, 3357, 1299, 31025, 13348, 5328, 8964, 269, 1924, 8799, 540, 873, 269, 634, 11788, 10579, 3357, 547, 1294, 721, 693, 476, 278, 269, 1133, 2193, 14880, 1299, 623 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5876, 16382, 707, 31910, 1206, 979, 256, 8414, 13167, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4537, 27553, 568, 513, 1655, 5498, 29818, 2278, 543, 7376, 1634, 585, 1200, 19918, 1688, 1673, 22148, 25879, 1148, 6272, 269, 2701, 814, 1044, 5373, 543, 4484, 532, 24015, 2094, 476, 1001, 275, 1310, 6028, 1200, 3450, 4876, 547, 1831, 513, 3251, 27408, 25571, 544, 4821, 269, 1548, 3323, 607, 513, 3860, 17752, 543, 2427, 3620, 755, 548, 267, 3533, 2968, 513, 2407, 942, 1870, 269, 1677, 713, 1554, 267, 1352, 4891, 609, 1896, 3549, 267, 1519, 744, 2464, 291, 267, 602, 16196, 543, 6133, 1200, 960, 538, 1585, 12043, 269, 3414, 891, 21769, 267, 1200, 960, 814, 1044, 4421, 538, 8637, 2066, 519, 4182, 543, 11451, 269, 4173, 1655, 5498, 29818, 1433, 27302, 4750, 1280, 6468, 10905, 1200, 5132, 543, 7499, 2511, 267, 543, 814, 4421, 936, 476, 16020, 267, 1822, 12215, 5001, 563, 4537, 27553, 2729, 538, 15930, 609, 1200, 9393, 543, 1614, 1453, 267, 543, 21593, 9363, 3742, 609, 873, 13964, 269, 1677, 1451, 811, 827, 1744, 27553, 543, 1200, 960, 267, 596, 666, 3643, 1200, 7270, 519, 3369, 527, 601, 830, 269, 1115, 344, 2593, 543, 519, 3369, 527, 601, 830, 2593, 543, 1246, 1200, 593, 17749, 7711, 3333, 27553, 549, 828, 1206, 866, 563, 17098, 256, 3733, 2012, 568, 8341, 928, 267, 594, 6557, 513, 844, 2830, 4806, 543, 5958, 14704, 689, 634, 13291, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5226, 559, 1154, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 10261, 548, 1740, 1315, 4937, 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, 3848, 476, 1626, 281, 772, 25233, 16711, 910, 14171, 5516, 540, 3776, 7984, 2435, 3590, 692, 5970, 596, 2479, 9289, 875, 938, 4703, 1205, 7759, 540, 3653, 286, 4270, 267, 835, 1271, 1062, 602, 2337, 721, 798, 713, 568, 1572, 519, 17256, 1062, 256, 901, 1062, 2882, 707, 14401, 267, 23443, 1562, 267, 15485, 267, 543, 23443, 628, 571, 267, 543, 621, 1568, 2182, 1169, 1554, 547, 4894, 5277, 3653, 689, 707, 1560, 269, 1879, 1945, 4422, 4636, 609, 713, 1062, 267, 971, 607, 950, 2576, 4991, 513, 17256, 8778, 3968, 630, 308, 2316, 1070, 602, 781, 1141, 11923, 945, 20647, 538, 579, 14347, 2097, 538, 2439, 3383, 1018, 1281, 513, 579, 25233, 12016, 798, 4010, 286, 1452, 616, 3810, 8036, 2564, 4648, 945, 948, 1491, 1416, 540, 2550, 609, 2042, 1644, 547, 741, 17256, 1949, 269, 2368, 1455, 2152, 789, 1522, 1294, 1331, 8459, 10007, 267, 15485, 5563, 267, 543, 1256, 2860, 540, 519, 17256, 8219, 269, 1677, 1831, 513, 579, 25233, 12016, 267, 891, 2043, 1590, 2347, 7463, 2866, 543, 2069, 3564, 1018, 568, 2838, 585, 2834, 8808, 780, 4131, 781, 2263, 930, 540, 519, 2081, 602, 579, 25233, 11923, 1522, 960, 609, 2550, 1384, 265, 2878, 10112, 612, 906, 5093, 3807, 899, 1022, 824, 1826, 540, 12016, 267, 579, 25233, 11923, 1376, 676, 12570, 741, 3461, 781, 2949, 1072, 269, 1358, 786, 2307, 2055, 827, 2589, 267, 1685, 2168, 18362, 267, 543, 949, 1931, 4255, 899, 10729, 5439, 610, 9196, 18767, 547, 1732, 1174, 1018, 781, 2469, 593, 3330, 519, 1560, 563, 265, 2878, 21675, 4566, 5093, 4495, 513, 5868, 814, 1044, 1500, 267, 579, 25233, 11923, 1404, 513, 1883, 1909, 538, 3384, 2126, 4566, 269, 13689, 593, 519, 3390, 267, 5574, 1223, 2039, 689, 6646, 547, 6391, 269, 1306, 851, 540, 519, 1416, 2319, 267, 579, 25233, 11923, 2327, 602, 2550, 4628, 1174, 741, 2783, 543, 1246, 998, 609, 11311, 11257, 563, 265, 2878, 15031, 1304, 2069, 5093, 3447, 908, 2550, 827, 741, 2175, 543, 23833, 3800, 568, 1776, 2565, 2460, 540, 579, 25233, 8808, 269, 1635, 3450, 1004, 875, 547, 2226, 1434, 17256, 1072, 267, 11923, 666, 948, 2569, 519, 1981, 540, 2104, 2042, 269, 11762, 1522, 1331, 1697, 20697, 267, 1434, 19880, 6208, 267, 543, 9301, 4191, 540, 1761, 8374, 563, 265, 2878, 306, 29864, 6351, 5093, 1403, 6391, 3587, 2556, 267, 579, 25233, 11923, 1419, 4217, 1282, 5773, 269, 6787, 29780, 588, 757, 267, 9427, 12970, 267, 610, 28472, 8697, 8219, 267, 891, 11923, 1683, 1898, 1489, 1354, 267, 1282, 267, 543, 1310, 4238, 780, 3080, 1383, 540, 606, 3919, 6131, 547, 5355, 2146, 1072, 998, 2298, 3119, 1416, 2533, 568, 1230, 10113, 22512, 269, 2060, 936, 476, 2004, 1296, 7674, 14642, 933, 2998, 6019, 543, 922, 10450, 267, 1230, 10113, 22512, 3091, 1585, 3102, 3782, 2533, 267, 1519, 579, 25233, 1416, 269, 4256, 6131, 5234, 2488, 17519, 267, 10531, 3007, 547, 1142, 1268, 6972, 998, 741, 9885, 267, 4180, 3025, 11392, 519, 1655, 2009, 1416, 780, 1103, 3932, 267, 579, 25233, 8808, 4249, 513, 4105, 1909, 538, 4509, 938, 2949, 8171, 269, 3414, 4879, 267, 2126, 4058, 267, 3461, 2069, 267, 543, 10551, 6351, 267, 891, 12665, 3565, 3648, 547, 5329, 938, 17256, 1949, 8647, 7157, 269, 1656, 3906, 899, 1230, 10113, 22512, 3136, 2324, 24091, 2509, 7393, 10333, 543, 26622, 540, 1164, 7779, 3782, 2533, 1369, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 8772, 5993, 14642, 933, 2998, 2657, 7690, 717, 8403, 267, 799, 729, 873, 539, 968, 288, 2295, 342, 9879, 3781, 540, 25894, 543, 6667, 892, 729, 4986, 21183, 540, 5863, 563, 1607, 4421, 13050, 2680, 267, 799, 729, 18799, 693, 7502, 10087, 24529, 654, 10320, 267, 1185, 476, 29720, 14538, 538, 20343, 543, 6659, 811, 982, 1269, 14983, 267, 1822, 593, 8734, 269, 476, 1556, 547, 1489, 2199, 3782, 543, 519, 9241, 2813, 14642, 933, 2998, 2657, 7690, 7736, 578, 618, 8750, 563, 7628, 519, 1982, 267, 14642, 933, 2998, 2657, 4843, 1614, 20380, 17758, 1519, 7991, 31313, 267, 4284, 6509, 540, 519, 5729, 543, 29237, 540, 519, 5729, 563, 763, 476, 1708, 274, 7991, 31313, 13815, 729, 4843, 547, 1230, 10113, 22512, 269, 1280, 811, 982, 476, 2004, 1296, 267, 1230, 10113, 22512, 814, 1044, 3246, 513, 1920, 15129, 3782, 2259, 585, 14642, 933, 2998, 543, 4478, 10315, 7264, 269, 1358, 2709, 513, 3099, 540, 3102, 1072, 1416, 2533, 538, 513, 12905, 543, 3608, 6073, 267, 782, 3177, 676, 741, 1330, 974, 748, 543, 3318, 5234, 269, 634, 4099, 568, 13234, 676, 513, 4357, 267, 13148, 10480, 518, 958, 14102, 1875, 17416, 3919, 18170, 676, 513, 15321, 4604, 540, 19971, 563, 3519, 928, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 308, 25233, 16711, 257, 607, 851, 540, 834, 25503, 1315, 16711, 1315, 6481, 1299, 13880, 673, 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, 3848, 476, 272, 281, 4985, 547, 20348, 3557, 594, 9582, 543, 922, 10241, 692, 1103, 713, 3184, 267, 649, 786, 6338, 519, 1523, 540, 4396, 1533, 9357, 923, 630, 7704, 296, 264, 543, 2263, 875, 621, 12211, 547, 3114, 5114, 6384, 538, 1585, 3457, 269, 1284, 786, 849, 4983, 930, 540, 519, 1883, 3156, 540, 9399, 296, 267, 1519, 4396, 12547, 4492, 543, 14793, 3974, 2281, 267, 4396, 1533, 9075, 267, 15449, 566, 17011, 267, 3154, 8596, 267, 543, 1509, 2077, 832, 780, 4263, 922, 4295, 267, 9399, 296, 3322, 519, 1353, 540, 2527, 543, 5279, 3560, 538, 17571, 267, 4481, 538, 2326, 602, 2932, 12274, 2864, 982, 9211, 269, 1452, 2326, 666, 581, 9286, 607, 2901, 25617, 610, 6404, 25617, 3887, 937, 3055, 26423, 267, 4470, 593, 2436, 789, 5097, 2932, 2318, 12274, 630, 322, 725, 1070, 2942, 12274, 630, 534, 687, 1070, 610, 1312, 269, 634, 2702, 540, 891, 2326, 547, 7520, 25617, 26634, 814, 1271, 6286, 585, 513, 2647, 2039, 540, 6639, 3156, 267, 3226, 1346, 5473, 1648, 7503, 543, 4859, 780, 3080, 1858, 1141, 9399, 296, 4249, 513, 2629, 1909, 568, 538, 519, 1646, 540, 782, 1606, 13521, 15581, 9075, 269, 12465, 16864, 23760, 9075, 7048, 593, 5277, 32690, 547, 5512, 9357, 4483, 1063, 519, 30932, 543, 606, 1712, 269, 1717, 267, 891, 15559, 666, 581, 19979, 543, 1166, 30100, 267, 30286, 3106, 4145, 269, 769, 4334, 267, 4396, 15581, 9075, 946, 4396, 23386, 2326, 3079, 267, 799, 2709, 4824, 6617, 543, 2362, 1648, 24186, 269, 1635, 4974, 519, 6127, 540, 9357, 3560, 538, 891, 4396, 2326, 267, 3173, 4126, 547, 1374, 811, 3608, 543, 10930, 6007, 1949, 780, 5194, 1383, 540, 9399, 296, 781, 2956, 6013, 538, 519, 7706, 540, 3154, 15392, 269, 3509, 4853, 3157, 5352, 5739, 9362, 602, 1590, 581, 16913, 543, 6417, 547, 2327, 11832, 3106, 543, 2825, 4027, 269, 13937, 8596, 1500, 1210, 25617, 610, 6404, 25617, 3887, 937, 3055, 26423, 666, 28729, 3713, 1808, 9362, 676, 29227, 2242, 538, 5122, 4187, 3361, 676, 9357, 9194, 1369, 519, 9300, 1570, 269, 4197, 519, 2188, 602, 3310, 9357, 10688, 538, 891, 2326, 666, 1291, 547, 1732, 9300, 2773, 543, 2799, 8417, 780, 15228, 1842, 807, 899, 519, 834, 1708, 271, 11354, 20051, 281, 20348, 1533, 9357, 923, 281, 4359, 2035, 543, 3457, 257, 5031, 519, 5767, 7835, 538, 9399, 296, 1382, 543, 13686, 6932, 4066, 3710, 2390, 713, 5748, 269, 1306, 596, 1224, 998, 7766, 11271, 267, 1832, 538, 2247, 519, 1761, 1764, 540, 9399, 296, 593, 938, 3232, 2729, 543, 519, 3078, 7399, 1869, 7996, 547, 581, 4362, 780, 6637, 476, 273, 281, 26386, 540, 594, 4577, 1230, 9134, 692, 2414, 1174, 519, 2623, 540, 25617, 26423, 4628, 267, 649, 991, 1101, 547, 5490, 883, 519, 9238, 540, 25617, 5163, 538, 17571, 269, 901, 3184, 6227, 1898, 3741, 12044, 25617, 18236, 267, 1519, 24775, 2497, 267, 8919, 7998, 267, 543, 11852, 19367, 780, 1103, 1022, 2016, 12627, 24775, 267, 972, 2291, 1448, 12889, 1107, 12150, 885, 538, 519, 6382, 1931, 569, 11460, 540, 8444, 610, 12274, 269, 1280, 3236, 267, 7477, 17473, 2049, 950, 606, 11046, 610, 9357, 568, 7508, 689, 922, 8912, 2990, 267, 1247, 26300, 527, 10118, 8451, 950, 606, 3063, 9325, 26328, 606, 8900, 2230, 1063, 2834, 4609, 269, 5637, 2010, 540, 12889, 1404, 2565, 5107, 538, 7175, 9357, 3350, 2429, 519, 24775, 780, 2691, 6236, 25617, 18236, 267, 1079, 3119, 3631, 4766, 519, 1184, 281, 519, 4351, 3802, 2203, 543, 519, 7914, 2557, 2203, 269, 4340, 547, 519, 4351, 3802, 2203, 267, 12274, 5577, 14477, 1063, 2139, 4609, 1369, 519, 24775, 1739, 513, 3126, 540, 4608, 528, 22366, 3268, 269, 11531, 267, 519, 7914, 2557, 2203, 6212, 593, 1367, 26357, 1063, 15231, 4609, 543, 6589, 585, 4632, 899, 3801, 4908, 543, 11852, 1648, 2838, 585, 3811, 13289, 269, 8625, 267, 891, 10850, 1683, 3407, 4030, 883, 875, 12274, 6330, 1950, 26543, 5054, 780, 8139, 519, 2078, 1063, 11852, 1648, 543, 25617, 19428, 568, 1776, 1898, 2460, 540, 9399, 296, 269, 2920, 10474, 1648, 4016, 547, 519, 5934, 1648, 11064, 602, 1590, 581, 7753, 585, 606, 9357, 547, 1847, 689, 835, 3135, 547, 1776, 269, 14451, 11852, 19367, 5330, 547, 2539, 25617, 2932, 8481, 2094, 7864, 5536, 4865, 6190, 8143, 1648, 547, 1147, 25236, 519, 7496, 19459, 11105, 4609, 269, 11790, 12018, 11852, 19367, 1331, 24775, 1826, 267, 6125, 4222, 267, 543, 519, 4527, 540, 23606, 610, 17585, 1218, 780, 3528, 6313, 891, 13654, 2035, 5702, 267, 649, 2744, 4514, 5813, 883, 519, 6946, 7544, 540, 12274, 1369, 4396, 15581, 2326, 1107, 1702, 602, 5713, 607, 513, 5614, 4580, 585, 3695, 4359, 3584, 2663, 538, 713, 1433, 780, 263, 9616, 281, 9603, 547, 29571, 2750, 4219, 781, 3259, 7687, 267, 5225, 3136, 2542, 519, 6967 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1297, 540, 5563, 729, 3592, 476, 276, 269, 279, 2929, 563, 8170, 1576, 267, 782, 1072, 7194, 616, 4299, 676, 519, 9993, 1282, 519, 4856, 7431, 6855, 269, 7324, 824, 1919, 267, 7864, 1004, 4682, 547, 519, 4387, 1317, 540, 9376, 23957, 610, 4250, 540, 3968, 563, 6097, 547, 14959, 7194, 267, 476, 272, 269, 277, 2929, 1004, 5747, 689, 19505, 2063, 1032, 267, 1310, 476, 272, 269, 276, 2929, 538, 476, 1708, 271, 543, 476, 272, 269, 275, 2929, 538, 476, 1001, 280, 269, 634, 1297, 540, 1007, 2665, 829, 476, 1911, 267, 1822, 2551, 2799, 676, 476, 274, 269, 277, 2600, 538, 476, 1708, 272, 3379, 547, 476, 1708, 271, 267, 1310, 621, 1185, 15468, 676, 827, 476, 273, 2600, 3592, 1169, 1032, 585, 519, 2250, 476, 736, 1296, 269, 634, 14959, 12194, 602, 519, 6739, 2112, 1996, 12907, 543, 7526, 538, 4000, 543, 519, 5664, 5101, 1223, 22652, 519, 3510, 563, 14654, 828, 17533, 568, 835, 540, 519, 1034, 1455, 11763, 3676, 269, 898, 568, 10299, 689, 1268, 547, 1268, 676, 11375, 2718, 11763, 20256, 269, 634, 4551, 2356, 1205, 883, 519, 9641, 267, 855, 666, 849, 3468, 824, 8219, 269, 898, 3006, 9397, 856, 1296, 1310, 606, 3968, 267, 543, 827, 3368, 540, 1346, 7783, 5884, 1510, 2126, 269, 1809, 621, 568, 28824, 543, 524, 9092, 269, 898, 568, 20468, 602, 519, 13596, 616, 5051, 3384, 4187, 547, 519, 2965, 3811, 11216, 563, 8310, 1032, 267, 1472, 476, 14596, 267, 1822, 1004, 941, 8995, 609, 19505, 602, 1705, 711, 4431, 547, 519, 1455, 15084, 267, 20711, 2086, 545, 514, 269, 2334, 729, 1614, 2600, 811, 982, 519, 1032, 1354, 563, 1103, 519, 1101, 1032, 540, 519, 11452, 630, 1708, 271, 1070, 519, 1297, 540, 1004, 8995, 609, 19505, 1185, 12628, 3648, 267, 27229, 1317, 540, 519, 3908, 11564, 547, 519, 16758, 269, 2334, 814, 4824, 267, 855, 519, 1297, 568, 1869, 2630, 840, 1790, 663, 2438, 2157, 267, 519, 14959, 5206, 269, 2701, 20147, 602, 811, 1004, 616, 7783, 1510, 6616, 621, 543, 666, 3468, 1866, 269, 634, 476, 1789, 2477, 609, 1164, 1651, 573, 1878, 1331, 8478, 267, 3624, 267, 3127, 543, 3162, 4000, 563, 28490, 649, 960, 1927, 267, 649, 666, 21061, 1439, 2223, 1767, 14959, 8783, 23413, 4592, 1520, 7315, 558, 717, 515, 3691, 344, 4615, 269, 634, 14959, 7125, 585, 811, 5092, 538, 1072, 3292, 543, 1007, 10074, 269, 0, 16449, 519, 7887, 2042, 540, 2221, 781, 1158, 649, 666, 2446, 7050, 3653, 5108, 543, 519, 1648, 6433, 269, 634, 3070, 547, 1312, 2042, 666, 581, 6462, 676, 12998, 6954, 2029, 540, 3653, 6954, 11919, 3154, 2305, 269, 898, 3322, 519, 4393, 540, 3653, 630, 324, 3052, 269, 18513, 267, 4853, 267, 1519, 13818, 3653, 267, 21137, 31993, 264, 693, 513, 2837, 1657, 476, 9873, 271, 22966, 857, 639, 5232, 883, 10282, 3154, 585, 519, 2504, 540, 5201, 543, 7250, 563, 4002, 5239, 476, 1839, 267, 476, 1708, 273, 538, 5696, 345, 1122, 267, 5520, 267, 12854, 1053, 543, 17985, 295, 2475, 307, 1053, 1185, 519, 4316, 547, 1451, 827, 519, 7811, 13210, 540, 971, 513, 2029, 267, 607, 1134, 607, 1294, 513, 8647, 10380, 538, 799, 21137, 31993, 568, 9268, 883, 10282, 3154, 269, 634, 6881, 729, 1500, 676, 570, 5557, 345, 8751, 322, 5414, 330, 689, 519, 661, 14150, 10326, 2754, 563, 763, 2640, 540, 1210, 11919, 4066, 1331, 912, 15132, 983, 3653, 2359, 267, 3976, 9494, 2200, 2676, 516, 9134, 540, 3653, 6740, 538, 26071, 2676, 516, 9134, 540, 3653, 4859, 3790, 2676, 24479, 610, 7250, 2707, 563, 2171, 1131, 899, 547, 9684, 782, 5171, 585, 741, 4527, 543, 649, 5000, 873, 547, 7119, 538, 824, 5721, 902, 6035, 607, 851, 540, 661, 15288, 8656, 269, 0, 306, 6295, 32568, 4834, 454, 1103, 713, 5816, 2022, 267, 649, 786, 2263, 835, 1505, 540, 14572, 32568, 4834, 269, 1924, 1577, 781, 1205, 3323, 2336, 24169, 32568, 4834, 454, 2467, 616, 513, 2603, 540, 1390, 8924, 856, 972, 547, 948, 1053, 609, 741, 1153, 960, 585, 14572, 32568, 4834, 269, 14572, 13392, 4834, 676, 28809, 568, 513, 1184, 602, 666, 581, 1031, 547, 1265, 519, 5072, 540, 513, 13392, 3830, 269, 634, 5072, 540, 513, 13392, 3830, 616, 519, 2418, 540, 1535, 602, 1118, 519, 3830, 3020, 269, 1677, 4194, 513, 13392, 3830, 676, 28809, 267, 596, 991, 547, 3815, 519, 13392, 4082, 883, 1079, 5276, 7215, 269, 1411, 1287, 1305, 1142, 5276, 4082, 3160, 547, 4642, 543, 4194, 585, 1535, 269, 634, 3435, 786, 581, 519, 5072, 540, 519, 3312, 13392, 3830, 269, 769, 930, 2665, 267, 596, 949, 991, 547, 946, 519, 28065, 16754, 547, 4194, 519, 3830, 269, 634, 28065, 16754, 666, 581, 1031, 547, 1265, 519, 5072, 540, 1022, 13392, 3830, 267, 7488, 540, 2436, 610, 711, 621, 666, 581, 1249, 1819, 269, 1717, 267, 6061, 676, 28809, 568, 1419, 5488, 543, 12863, 982, 1210, 519, 28065, 16754, 269, 4475, 267, 621, 568, 2141, 4502, 3843, 547, 3815, 513, 13392, 4082, 1354, 759, 15659, 547, 519, 28065, 16754, 563, 288, 11186, 3830, 568, 606, 3830, 602, 12211, 513, 1599, 609, 835, 610, 811, 540, 922, 16755, 269, 769, 1931, 547, 4194, 513, 11186, 3830, 267, 649, 1590, 1101, 1265, 519, 2489, 3070, 267, 799, 568, 513, 1599, 602, 25389, 519, 3830, 585, 782, 2418, 540, 519, 4756, 269, 634, 2489, 3070, 786, 2356, 2270, 835, 610, 811, 17062, 21635, 267, 799, 666, 581, 5462, 676, 1210, 10465, 2175, 269, 589, 10465, 2783, 568, 513, 2783, 602, 1590, 581, 13854, 676, 519, 3070, 693, 513, 1880, 1448, 269, 4495, 649, 723, 1336, 519, 2489, 3070, 543, 5462, 519, 2418, 540, 519, 17062, 21635, 267, 649, 666, 12990, 891, 2418, 1394, 883, 519, 3070, 547, 1205, 519, 1880, 3070, 269, 27018, 4834, 616, 1031, 538, 1082, 1114, 2127, 540, 2257, 267, 971, 607, 6323, 267, 4702, 267, 543, 9297, 269, 769, 1142, 2013, 267, 789, 666, 948, 721, 547, 2203, 543, 1174, 7294, 9259, 563, 288, 32568, 3830, 24626, 568, 513, 6310, 1907, 602, 2636, 596, 547, 4194, 4834, 5473, 17969, 916, 269, 901, 1826, 540, 3830, 1419, 14340, 538, 4610, 971, 607, 6323, 543, 4702, 267, 1141, 12825, 3252, 616, 4122, 1031, 269, 634, 32568, 3830, 24626, 666, 581, 1031, 547, 1265, 519, 1871, 540, 1535, 585, 1022, 2016, 1871, 540, 586, 269, 1280, 1383, 267, 952, 596, 917, 602, 586, 815, 8421, 3287, 1070, 596, 666, 946, 519, 32568, 3830, 24626, 547, 1265, 519, 1871, 540, 1535, 602, 14687, 547, 586, 269, 901, 666, 581, 3730, 538, 3871, 1141, 596, 991, 547, 4194, 606, 3830, 855, 798, 711, 723, 1569, 547, 513, 9498, 610, 824, 2645, 602, 1131, 1450, 596, 547, 1685, 519, 2556, 9273, 269, 634, 32568, 3830, 24626, 666, 849, 581, 1031, 547, 2638, 707, 960, 950, 6061, 4834, 676, 1688, 269, 769, 2489, 267, 519, 32568, 3830, 24626, 568, 513, 3407, 1907, 585, 4896, 945, 2115, 547, 960, 609, 17969, 916, 593, 513, 2834, 4493, 563, 13043, 14581, 948, 568, 1945, 1169, 2979, 2875, 2115, 693, 930, 1448, 1282, 741, 4081, 4876, 269, 4569, 666, 581, 513, 2352, 1641, 585, 930, 1053, 267, 543, 3257, 6780, 666, 581, 513, 32462, 543, 942, 21791, 1184, 269, 24664, 1176, 267, 972, 616, 513, 1297, 540, 2200, 2139, 547, 948, 2979, 1053, 609, 741, 6780, 269, 6732, 2200, 971, 607, 4569, 3118, 543, 16679, 9142, 2709, 1900, 8386, 9912, 3435, 547, 2042, 267, 607, 1134, 607, 2259, 5751, 543, 3381, 4245, 269, 769, 1840, 267, 1082, 3610, 2709, 1310, 17469, 6780, 948, 7886, 267, 543, 972, 616, 1419, 21493, 2139, 998, 1153, 13102, 610, 2199, 3906, 269, 2060, 513, 2370, 4674, 267, 1022, 2979, 2875, 666, 1205, 519, 948, 789, 991, 547, 8011, 563, 306, 6295, 585, 606, 20800, 666, 581, 513, 16602, 1870, 267, 855, 972, 616, 513, 1906, 4388, 543, 15361, 602, 666, 1118, 519, 1184, 513, 2370, 3787, 4443, 269, 3689, 540, 782, 267, 621, 781, 1271, 547, 3314, 602, 606, 20800, 568, 3274, 513, 1297, 602, 6645, 721, 875, 1082, 2053, 513, 2016, 1297, 568, 16611, 676, 3294, 269, 1280, 3236, 267, 952, 649, 723, 519, 1297, 476, 273, 6659, 547, 519, 476, 274, 6113, 1379, 267, 602, 1797, 602, 476, 273, 568, 1373, 16611, 676, 3294, 476, 274, 2053, 269, 769, 824, 1913, 267, 476, 273, 317, 274, 815, 476, 273, 1535, 476, 273, 1535, 476, 273, 269, 14572, 585, 606, 20800, 3274, 1797, 4466, 856, 1018, 1297, 649, 1131, 991, 547, 6318, 1776, 1297, 547, 538, 1931, 547, 1205, 938, 3312, 1297, 269, 1280, 3236, 267, 952, 649, 4941, 547, 4194, 585, 519, 20800, 538, 519, 3830, 476, 279, 815, 476, 273, 28682, 267, 649, 1131, 3274, 991, 547, 4137, 856, 1018, 1297, 649, 1131, 991, 547, 6318, 476, 273, 547, 538, 1931, 547, 1205, 476, 279, 269, 769, 713, 2013, 267, 519, 2626, 1131, 581, 476, 274, 267, 2094, 476, 273, 317, 274, 815, 476, 279, 269, 2986, 1576, 267, 711, 782, 20800, 2042, 786, 581, 3833, 865, 2241, 269, 1717, 267, 609, 513, 2370, 2259, 543, 16177, 267, 6061, 585, 606, 20800, 666, 581, 513, 30089, 2336, 2171, 3382, 782, 2010, 540, 2979, 2042, 454, 8110, 2739, 267, 621, 711, 1152, 3947, 596, 4267, 267, 855, 1900, 676, 1900, 2409, 269, 1403, 519, 8254, 1599, 3884, 1406, 2324, 267, 596, 666, 3442, 547, 946, 519, 1826, 1599, 1141, 596, 666, 1175, 1826, 538, 519, 2040, 269, 11146, 519, 813, 594, 6415, 476, 1015, 543, 1810, 1405, 2731, 917, 2979, 855, 713, 2337, 803, 865, 1454, 8627, 5863, 813, 454, 300, 1228, 1250, 13878, 14176, 5020, 2241, 269, 700, 3437, 713, 813, 607, 621, 814, 1082, 540, 519, 2934, 602, 2306, 9819, 1360, 2653, 543, 814, 513, 1360, 7317, 30892, 269, 901, 568, 1317, 594, 6836, 824, 1644, 8924, 543, 1336, 602, 621, 779, 9157, 547, 946, 741, 2200, 269, 1809, 519, 813, 568, 1259, 1932, 2241, 269, 594, 1131, 2648, 547, 723, 606, 813, 12719, 1950, 2042, 538, 6323, 269, 11289, 596, 256, 0, 15612, 639, 1966, 24626, 609, 3268, 454, 2171, 3513, 1683, 930, 4388, 547, 948, 596, 2824, 519, 1655, 20145, 1966, 24626, 609, 3268, 585, 707, 2115, 269, 1284, 666, 948, 803, 609, 2979, 960, 563, 763, 7454, 20145, 1966, 24626, 609, 3268, 454, 15612, 639, 1966, 24626, 609, 3268, 666, 1489, 10453, 547, 1174, 519, 1570, 543, 2087, 741, 9344, 269, 3689, 267, 621, 568, 1271, 547, 1224, 519, 1966, 5402, 543, 2697, 519, 1883, 1344, 269, 5822, 267, 1053, 1058, 2015, 1018, 1826, 540, 5106, 789, 991, 547, 946, 547, 4194, 519, 1966, 269, 12059, 267, 789, 1058, 960, 998, 519, 1966, 1900, 8386, 9912, 267, 1210, 1142, 4062, 540, 1344, 1152, 2899, 269, 1635, 1739, 891, 3268, 267, 1053, 786, 581, 1732, 5423, 547, 10994, 1256, 519, 1034, 4101, 2979, 2042, 563, 306, 6295, 11186, 4834, 568, 513, 2629, 1907, 538, 1082, 2127, 540, 2257, 543, 4702, 269, 1717, 267, 519, 1184, 666, 581, 711, 528, 13124, 2352, 267, 1419, 8506, 1950, 6310, 2553, 269, 30586, 267, 972, 616, 1631, 513, 1297, 540, 2228, 2645, 602, 666, 948, 547, 16534, 11186, 4834, 3533, 543, 3362, 269, 1452, 2645, 946, 513, 3099, 540, 2409, 547, 16534, 519, 3830, 267, 1519, 10230, 5610, 543, 10763, 2409, 269, 769, 1034, 2665, 267, 782, 596, 991, 547, 798, 568, 4283, 519, 3830, 543, 519, 5551, 2039, 267, 543, 519, 1907, 786, 16534, 621, 585, 596, 269, 7454, 540, 782, 267, 891, 2645, 616, 2356, 1863, 547, 946, 267, 1818, 873, 513, 3407, 4199, 585, 1053, 543, 4648, 7567, 563, 5226, 7310, 1738, 4834, 616, 513, 1455, 1826, 540, 15821, 3830, 602, 666, 581, 2352, 547, 4194, 269, 1717, 267, 972, 616, 513, 1297, 540, 28065, 3830, 1151, 951, 602, 666, 948, 547, 1118, 519, 1184, 4443, 269, 1452, 1151, 951, 786, 3335, 1683, 513, 1900, 8386, 9912, 3070, 267, 1818, 621, 2653, 547, 1294, 875, 547, 4194, 519, 3830, 269, 769, 1840, 267, 930, 28065, 3830, 1151, 951, 786, 849, 1683, 513, 3308, 6041, 540, 519, 3070, 267, 799, 666, 581, 5363, 538, 1620, 519, 1523, 269, 1703, 616, 513, 1297, 540, 28065, 3830, 1151, 951, 2139, 2228, 267, 543, 1082, 540, 873, 616, 1863, 547, 946, 563, 763, 5072, 540, 519, 3830, 616, 1287, 1336, 676, 6061, 519, 28065, 16754, 269, 634, 29236, 24626, 1287, 13602, 519, 2798, 593, 513, 3113, 543, 8220 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5286, 28460, 18828, 27904, 17635, 4917, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 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, 7689, 281, 13555, 23317, 910, 4197, 1215, 12085, 25291, 2439, 5970, 596, 2479, 2219, 827, 875, 1079, 3615, 5905, 1142, 824, 286, 2311, 1101, 16145, 267, 621, 1522, 3100, 899, 513, 2241, 1523, 267, 855, 972, 781, 2965, 513, 2603, 2469, 593, 1063, 1079, 1919, 950, 789, 2097, 883, 3346, 256, 901, 7936, 540, 6323, 568, 1572, 834, 4186, 716, 11707, 2437, 543, 649, 3513, 2263, 930, 2596, 2035, 1927, 269, 1635, 1620, 891, 3741, 267, 649, 666, 5660, 875, 938, 1158, 1568, 538, 1007, 543, 4241, 2081, 2439, 5331, 8066, 513, 17891, 4904, 609, 2011, 269, 1403, 596, 9900, 2046, 1776, 1843, 1996, 621, 267, 596, 786, 5469, 1945, 4277, 8345, 1107, 519, 17891, 632, 13257, 630, 528, 2242, 3337, 264, 5594, 1354, 4947, 1394, 547, 922, 3312, 1106, 2899, 596, 4894, 519, 5007, 3196, 269, 901, 7613, 4386, 1317, 519, 17891, 1570, 2833, 2566, 950, 621, 2501, 883, 3346, 609, 1776, 2627, 269, 13262, 4016, 547, 519, 4835, 4229, 9117, 1369, 513, 1560, 1813, 547, 5007, 2188, 780, 3086, 1577, 781, 1589, 827, 513, 12034, 1177, 693, 707, 2199, 19209, 269, 1879, 835, 1126, 18795, 693, 2901, 1439, 267, 789, 1995, 3160, 5666, 540, 3196, 11319, 1524, 593, 741, 10160, 269, 1306, 1279, 607, 1312, 1453, 616, 8449, 22051, 267, 519, 12034, 1177, 3788, 7059, 269, 1809, 952, 835, 1126, 22179, 3648, 811, 982, 519, 824, 267, 519, 18219, 2427, 24864, 9875, 5196, 519, 2666, 267, 4929, 519, 14402, 1126, 547, 4473, 1055, 519, 2666, 2394, 3666, 568, 17468, 1586, 780, 4131, 781, 1491, 713, 2856, 2417, 609, 1483, 8996, 3156, 269, 6333, 513, 1804, 1379, 2030, 1141, 4492, 17236, 3330, 9649, 9065, 839, 1634, 607, 26925, 547, 3132, 3002, 1648, 269, 1677, 11694, 4398, 1247, 10893, 5533, 267, 8030, 946, 4359, 1949, 971, 607, 24045, 2011, 14927, 619, 538, 519, 8908, 1062, 269, 1452, 3457, 4383, 519, 2095, 540, 3063, 5135, 2838, 1282, 13674, 3157, 269, 17797, 532, 519, 2481, 704, 7158, 1759, 593, 519, 1770, 4452, 5849, 6099, 5106, 267, 3056, 547, 1732, 2773, 543, 4389, 5434, 780, 3719, 1946, 798, 649, 991, 5904, 547, 948, 721, 4383, 782, 540, 713, 286, 4270, 267, 4952, 9013, 7366, 610, 1256, 5215, 540, 1367, 3334, 16924, 269, 2334, 1131, 581, 3833, 4101, 256, 23675, 1450, 12957, 540, 1950, 4247, 998, 3292, 2966, 4481, 585, 1346, 5301, 269, 1280, 1383, 267, 519, 20798, 3760, 3096, 2653, 3562, 268, 16187, 5752, 4654, 602, 5512, 3755, 547, 1711, 2688, 3435, 585, 1585, 2042, 269, 6684, 267, 10439, 9978, 3091, 3532, 2645, 585, 2679, 13502, 602, 17932, 1483, 3734, 7653, 269, 8625, 267, 891, 4066, 7668, 8030, 547, 1628, 10427, 1949, 5827, 540, 7829, 6946, 4238, 8850, 780, 2026, 513, 22429, 267, 1705, 596, 917, 602, 3744, 723, 1031, 1769, 6786, 2366, 3842, 6775, 25852, 15791, 547, 10141, 1344, 2066, 5318, 9883, 585, 936, 1079, 5553, 286, 18786, 1472, 476, 9692, 271, 267, 3943, 23266, 19863, 324, 932, 1952, 324, 2813, 513, 3126, 540, 20610, 9280, 609, 7344, 7916, 602, 1223, 5365, 6835, 1063, 873, 269, 3683, 942, 267, 6639, 7760, 3366, 547, 2413, 6775, 25852, 1107, 6094, 22204, 1500, 540, 4837, 610, 5068, 23142, 1239, 998, 20512, 540, 1769, 269, 4653, 267, 6775, 25852, 6087, 3728, 4950, 4296, 5001, 267, 18445, 1175, 875, 2484, 23568, 519, 6286, 540, 4974, 3346, 11707, 666, 581, 2439, 3528, 1631, 267, 594, 4126, 596, 1745, 6273, 547, 1451, 811, 827, 3346, 11707, 543, 875, 9583, 2241, 4205, 1063, 3615, 666, 1291, 547, 6909, 10124, 269, 5901, 3695, 267, 3251, 8049, 267, 543, 3314, 602, 2257, 568, 10876, 1472, 721, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21292, 281, 19460, 547, 2842, 7901, 11186, 2604, 267, 2842, 7901, 547, 19460, 454, 1103, 713, 6069, 960, 267, 1374, 543, 1646, 540, 5883, 4675, 11915, 2011, 14927, 619, 538, 513, 8908, 1062, 540, 513, 21755, 2030, 799, 568, 27057, 2519, 593, 667, 5425, 1935, 814, 1044, 6913, 676, 1210, 1164, 4393, 3301, 8121, 291, 308, 2562, 302, 543, 2164, 814, 1044, 8810, 609, 5078, 11191, 538, 966, 3041, 308, 3201, 32577, 12903, 269, 634, 3483, 540, 713, 960, 568, 547, 1852, 519, 1604, 14927, 619, 538, 1114, 2081, 538, 1899, 609, 519, 1770, 4452, 538, 602, 1259, 2810, 519, 15245, 4398, 849, 547, 2569, 519, 5533, 269, 589, 1305, 540, 3670, 954, 6674, 2175, 941, 3177, 585, 713, 1599, 269, 4595, 667, 5425, 1281, 4019, 1152, 585, 2462, 1062, 711, 1447, 982, 476, 4335, 271, 3403, 543, 3977, 855, 713, 568, 14427, 563, 1607, 1957, 5654, 693, 20249, 25852, 607, 513, 2029, 602, 568, 3384, 543, 2810, 1018, 4990, 540, 1158, 31825, 585, 811, 982, 1079, 5756, 269, 898, 12116, 922, 8129, 689, 476, 9692, 271, 267, 950, 513, 5333, 11653, 19863, 324, 932, 1952, 324, 2919, 513, 1062, 585, 11488, 14773, 906, 1210, 513, 1895, 540, 5033, 7469, 648, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23086, 23317, 257, 607, 851, 540, 834, 306, 11799, 1315, 23317, 1315, 3752, 1749, 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, 3848, 476, 280, 281, 661, 327, 6840, 5937, 534, 32221, 5204, 526, 27689, 281, 589, 18043, 22410, 540, 513, 670, 2678, 15119, 6828, 540, 18726, 4045, 633, 570, 22568, 15136, 692, 280, 269, 272, 4985, 692, 292, 327, 6840, 5937, 534, 32221, 25102, 27689, 630, 3633, 306, 264, 2099, 513, 3309, 4015, 540, 1200, 3386, 24561, 5160, 4713, 6353, 676, 2934, 971, 607, 5409, 332, 9394, 10549, 267, 10347, 543, 970, 839, 1043, 2960, 267, 543, 1585, 1418, 270, 17882, 338, 23659, 17313, 4611, 538, 8101, 5312, 1928, 269, 6736, 1373, 7620, 4857, 538, 519, 3735, 476, 5197, 271, 338, 267, 891, 2175, 723, 1279, 7283, 28430, 1813, 547, 741, 678, 10846, 267, 6988, 267, 543, 20718, 2589, 609, 824, 3676, 269, 9182, 267, 2043, 4299, 676, 661, 9169, 4749, 11402, 2591, 538, 8391, 12905, 21904, 543, 5078, 5574, 267, 28285, 538, 991, 1652, 1367, 11605, 543, 3782, 4199, 3653, 269, 1677, 10994, 891, 9465, 267, 21722, 19190, 899, 519, 6153, 28775, 661, 9169, 18669, 941, 3964, 1369, 12021, 2564, 5238, 547, 1683, 7463, 267, 23499, 3461, 1416, 5483, 676, 5969, 12967, 1382, 543, 2963, 2861, 2853, 269, 769, 1018, 5205, 267, 649, 5490, 883, 519, 10578, 1158, 540, 661, 9169, 998, 7234, 922, 3140, 2796, 267, 4791, 19183, 267, 10368, 4485, 267, 543, 4207, 2359, 2994, 780, 280, 269, 273, 8466, 21887, 543, 7351, 4197, 692, 30399, 267, 661, 9169, 729, 4330, 10446, 676, 1079, 13500, 1107, 3798, 10542, 661, 327, 6840, 689, 16862, 538, 476, 5002, 272, 543, 28741, 5025, 2716, 663, 516, 8355, 32221, 689, 5333, 538, 476, 5002, 279, 1107, 945, 4080, 2665, 5473, 2550, 27109, 11495, 2960, 3834, 699, 868, 839, 2225, 543, 4745, 561, 1314, 640, 269, 3683, 942, 267, 2705, 267, 621, 2968, 10423, 602, 891, 3355, 7422, 6719, 8806, 519, 9133, 540, 606, 4672, 6199, 10703, 2718, 3875, 3982, 2943, 10562, 4307, 8040, 5532, 1927, 896, 519, 22597, 2165, 834, 292, 327, 6840, 5937, 534, 32221, 25102, 27689, 1701, 1452, 13103, 6565, 5097, 689, 19260, 538, 1114, 6090, 17683, 5946, 7533, 547, 519, 2497, 543, 1599, 540, 519, 29414, 5119, 630, 4488, 300, 1070, 799, 2488, 1898, 21934, 13783, 1489, 585, 2281, 543, 8219, 2429, 519, 1560, 780, 1103, 2487, 1296, 267, 938, 8223, 540, 661, 9169, 814, 7960, 14320, 7064, 547, 7760, 538, 7636, 11976, 543, 1024, 15299, 269, 21231, 267, 3173, 9286, 661, 9169, 1759, 593, 4791, 7355, 282, 4867, 267, 789, 7048, 15866, 593, 1808, 5444, 13592, 3743, 585, 4929, 1880, 2010, 540, 661, 9169, 269, 2311, 1459, 267, 972, 2291, 24369, 6444, 1016, 18196, 540, 661, 9169, 267, 1142, 2404, 609, 2189, 23633, 14726, 7133, 1808, 3334, 540, 519, 10566, 300, 269, 7324, 873, 267, 20018, 4564, 519, 1034, 4122, 26582, 3940, 267, 2016, 922, 11606, 543, 11358, 1909, 538, 4509, 7293, 8699, 2066, 2789, 1949, 269, 11048, 267, 12889, 538, 1875, 2275, 3326, 10402, 748, 9848, 19817, 4710, 1231, 267, 11476, 267, 543, 824, 6675, 666, 849, 1291, 547, 1585, 3029, 540, 661, 9169, 780, 280, 269, 274, 11916, 2494, 28685, 725, 543, 26616, 12694, 692, 11693, 519, 7915, 10848, 16109, 689, 661, 9169, 781, 4719, 30846, 267, 9591, 513, 17046, 5868, 3788, 4101, 1256, 2221, 269, 12580, 949, 2039, 689, 7646, 547, 27676, 543, 4268, 4922, 1851, 4299, 2043, 4470, 2390, 519, 5817, 1757, 894, 15817, 4433, 1040, 16480, 267, 1978, 29039, 4191, 4043, 547, 581, 3838, 2066, 1082, 1016, 18196, 267, 1519, 1384, 320, 269, 17434, 5754, 11279, 984, 1006, 281, 10705, 9833, 607, 519, 10689, 5658, 4183, 540, 661, 9169, 267, 20902, 4745, 561, 1314, 640, 19753, 5099, 1346, 3413, 21719, 547, 20443, 20247, 23148, 4882, 889, 12999, 725, 267, 2038, 30169, 267, 543, 5312, 30273, 1928, 269, 5047, 267, 930, 2043, 1995, 8795, 5232, 540, 5179, 15717, 18363, 5386, 5179, 1983, 543, 14407, 5179, 3252, 563, 321, 269, 12338, 10389, 2806, 7538, 885, 281, 10886, 2065, 17172, 1670, 4681, 17663, 29099, 13412, 2960, 12155, 547, 20015, 2358, 543, 16607, 10138, 7067, 267, 7258, 11132, 2934, 971, 607, 7986, 4064, 267, 6094, 17534, 267, 543, 1507, 10772, 269, 1717, 267, 891, 7592, 1522, 711, 2141, 581, 7805, 610, 25144, 7856, 2066, 782, 4525, 540, 519, 1560, 563, 322, 269, 5029, 21619, 10818, 281, 13689, 593, 519, 1826, 540, 661, 9169, 267, 1471, 30844, 9525, 1223, 27167, 15466, 6526, 1006, 267, 9667, 8778, 31818, 10306, 2801, 5250, 267, 29897, 28230, 1282, 6379, 267, 610, 5378, 1537, 11896, 7139, 8985, 267, 1851, 1866, 269, 6270, 8374, 20838, 519, 2956, 540, 21713, 5464, 543, 6098, 6304, 950, 5883, 661, 9169, 2550, 563, 323, 269, 10266, 281, 654, 7655, 5312, 1928, 13054, 1776, 24245, 2460, 540, 661, 9169, 267, 23608, 689, 1312, 562, 665, 823, 696, 633, 15128, 630, 328, 4318, 1421, 6553, 267, 5945, 264, 543, 5778, 12949, 545, 6127, 630, 328, 4318, 1421, 12012, 8229, 5365, 4393, 1040, 9717, 922, 16148, 2470, 267, 8308, 3067, 4328, 543, 5466, 1928, 6799, 23773, 2591, 8506, 2673, 5698, 1063, 2550, 267, 3885, 267, 543, 3782, 7426, 780, 2414, 6330, 891, 10848, 267, 1896, 8760, 14565, 723, 7153, 547, 7520, 13387, 4879, 543, 11186, 5868, 540, 661, 9169, 1016, 18196, 269, 1280, 3236, 267, 519, 15428, 562, 657, 1108, 6069, 676, 519, 4139, 5980, 540, 661, 327, 6840, 5937, 534, 32221, 5204, 526, 27689, 19032, 7600, 4997, 11554, 6828, 3091, 513, 21712, 5943, 6220, 2101, 543, 5634, 4791, 7355, 2059, 609, 5885, 8047, 4255, 547, 3391, 3375, 6194, 3157, 269, 5015, 267, 8441, 538, 1164, 28443, 1584, 15971, 4066, 5512, 811, 5730, 8446, 540, 2068, 23938, 4719, 7648, 267, 7551, 7393, 10368, 6111, 1247, 10893, 11991, 1045, 553, 4369, 543, 3790, 780, 280, 269, 275, 12634, 5004, 11150, 543, 8892, 19648, 692, 8601, 7415, 3356, 1500, 3976 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14021, 2504, 2409, 547, 3684, 2504, 2409, 269, 476, 273, 4853, 4838, 1557, 4853, 4838, 910, 476, 277, 2767, 1913, 18363, 707, 1072, 713, 568, 519, 1259, 1004, 781, 2729, 941, 1282, 519, 4853, 4838, 269, 769, 1018, 2081, 941, 12766, 339, 1415, 519, 8789, 4853, 1379, 538, 519, 1158, 538, 476, 6977, 271, 3812, 811, 982, 476, 2004, 2600, 540, 519, 1158, 779, 19135, 2472, 24776, 811, 982, 476, 3199, 2600, 540, 922, 5755, 1500, 3592, 3368, 540, 922, 4401, 5280, 824, 2477, 547, 1628, 741, 7841, 1811, 3177, 519, 12227, 585, 2934, 538, 824, 2477, 1185, 519, 7887, 543, 1034, 3532, 563, 13233, 1143, 543, 4853, 4838, 4444, 2688, 1557, 689, 476, 15686, 280, 829, 2985, 610, 946, 585, 1863, 269, 634, 4853, 4838, 1185, 2318, 543, 2942, 4539, 606, 1271, 4324, 729, 519, 5137, 540, 6009, 15327, 538, 519, 4872, 2813, 6009, 269, 5131, 4853, 4838, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 5131, 1557, 281, 7760, 538, 6683, 267, 19135, 267, 6283, 543, 2804, 2208, 2968, 2009, 1152, 1317, 540, 519, 4853, 4838, 2921, 1747, 563, 763, 4853, 4838, 568, 3006, 22309, 585, 519, 2942, 5222, 621, 4547, 547, 519, 2486, 2705, 267, 621, 568, 513, 1360, 4277, 267, 543, 269, 3367, 4853, 4838, 1557, 689, 519, 1650, 1153, 3785, 676, 1535, 343, 332, 1168, 16282, 29900, 275, 630, 14623, 267, 1775, 6415, 803, 342, 264, 609, 476, 7176, 273, 14509, 1557, 267, 1686, 267, 13314, 519, 4853, 15148, 583, 1470, 269, 634, 4853, 4838, 568, 1634, 607, 513, 1974, 538, 799, 4909, 2242, 7018, 538, 6683, 267, 20955, 543, 4496, 5478, 269, 634, 2165, 4853, 4838, 814, 1044, 1031, 547, 4766, 519, 1034, 3573, 1689, 519, 1158, 814, 2479, 4810, 621, 729, 22579, 676, 7005, 14544, 795, 2129, 1348, 811, 1934, 563, 26581, 7434, 4838, 267, 7839, 10682, 540, 8261, 4074, 676, 6191, 602, 3459, 538, 31564, 538, 519, 476, 1240, 628, 2540, 543, 568, 1869, 11173, 538, 930, 2694, 540, 519, 1158, 269, 1306, 519, 4853, 4838, 8057, 4357, 9520, 543, 2883, 5238, 941, 2877, 547, 1683, 2724, 585, 519, 4853, 543, 3059, 4838, 1557, 269, 10749, 543, 9880, 593, 519, 4853, 4838, 538, 3332, 910, 2565, 3594, 269, 634, 4853, 4838, 543, 922, 4539, 547, 3333, 1923, 32414, 476, 1556, 267, 476, 1001, 279, 10153, 322, 476, 276, 281, 519, 4853, 4838, 543, 922, 4539, 1900, 476, 272, 281, 1224, 519, 6810, 540, 519, 1837, 593, 519, 4853, 4838, 563, 26581, 7434, 4838, 24563, 336, 1557, 3732, 2340, 511, 494, 596, 666, 1831, 513, 4759, 547, 1224, 11305, 4878, 4882, 1511, 782, 519, 1557, 6538, 610, 3274, 16926, 513, 5856, 538, 513, 1906, 3764, 2340, 511, 494, 649, 10018, 602, 707, 1557, 786, 581, 2298, 543, 2189, 2340, 511, 494, 811, 982, 513, 8536, 1863, 1557, 1806, 1318, 1934, 563, 19950, 539, 538, 2542, 827, 519, 1279, 3856, 2360, 540, 519, 4853, 4838, 713, 3732, 1957, 23607, 519, 2360, 543, 2242, 602, 7018, 1282, 713, 942, 269, 31598, 1169, 2582, 1268, 538, 519, 4207, 1158, 814, 2479, 4862, 540, 519, 2165, 2048, 8114, 12009, 4838, 685, 2705, 267, 1152, 513, 1906, 616, 2965, 2386, 540, 1018, 621, 568, 563, 1607, 2376, 568, 3370, 538, 5698, 609, 5420, 519, 22733, 2540, 779, 10412, 3138, 1682, 543, 9252, 9817, 16765, 29354, 519, 1259, 519, 1158, 5249, 538, 519, 1101, 4853, 4838, 269, 11633, 4838, 713, 1382, 1957, 4853, 4838, 543, 824, 476, 5038, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 2689, 612, 904, 1260, 269, 3399, 4974, 4853, 4838, 1557, 2055, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 11633, 4838, 1557, 910, 1863, 4647, 607, 630, 4135, 325, 1070, 7824, 3758, 630, 23486, 1070, 1257, 3758, 630, 339, 868, 264, 610, 1224, 2228, 585, 1863, 269, 7476, 3758, 0, 3674, 2565, 3206, 2942, 3206, 454, 1432, 568, 2565, 3206, 2565, 815, 2976, 894, 547, 2057, 3765, 24483, 267, 649, 991, 547, 1174, 1018, 621, 3884, 1405, 281, 2565, 3206, 568, 711, 8209, 1373, 968, 322, 15560, 892, 543, 2942, 269, 20134, 3206, 568, 711, 2565, 3206, 2942, 3206, 1419, 10525, 3294, 538, 740, 4630, 514, 655, 6285, 1419, 513, 8468, 814, 835, 610, 811, 2043, 945, 723, 269, 4208, 798, 5100, 1004, 798, 18174, 880, 1919, 1004, 945, 941, 2178, 593, 2901, 4987, 610, 2565, 3206, 4810, 7864, 2942, 2621, 269, 1548, 568, 2565, 3206, 586, 2942, 267, 607, 621, 568, 1031, 1934, 2565, 3206, 596, 2322, 707, 1565, 547, 946, 543, 4324, 689, 707, 2182, 960, 693, 1153, 563, 4504, 21526, 21548, 281, 2348, 513, 4978, 610, 16752, 4724, 799, 649, 723, 2178, 2942, 4664, 543, 547, 799, 649, 723, 519, 4998, 540, 2565, 3206, 568, 547, 269, 6875, 2962, 1318, 1631, 547, 6460, 2942, 547, 2318, 3206, 1004, 5352, 2942, 4555, 865, 875, 2565, 519, 2298, 540, 707, 3206, 568, 547, 269, 14400, 476, 1220, 276, 267, 4320, 1535, 12858, 267, 1297, 476, 275, 476, 8687, 2565, 3206, 538, 3594, 540, 1702, 538, 519, 1769, 540, 519, 12406, 602, 1489, 621, 543, 519, 2417, 8753, 547, 799, 621, 11148, 892, 630, 1372, 28838, 11783, 594, 1265, 8885, 3206, 9691, 513, 2603, 267, 1775, 3513, 2161, 1919, 547, 8885, 899, 1775, 8959, 693, 3257, 713, 267, 865, 1775, 6415, 2469, 547, 723, 547, 798, 1732, 1985, 942, 543, 1775, 16111, 1589, 899, 713, 538, 1931, 547, 2087, 563, 27287, 3206, 568, 519, 968, 984, 11187, 2079, 543, 6268, 540, 606, 3390, 538, 1931, 547, 1106, 513, 10385, 892, 1510, 519, 5578, 610, 2702, 547, 1589, 9691, 267, 649, 3251, 538, 267, 610, 556, 3200, 547, 267, 24178, 7266, 878, 543, 8739, 7266, 878, 3206, 269, 634, 2165, 968, 322, 15560, 3206, 892, 568, 1419, 1031, 543, 5219, 547, 1282, 10952, 5717, 270, 1372, 321, 919, 267, 855, 1034, 1004, 3668, 922, 3020, 543, 2312, 1523, 610, 1620, 269, 10341, 547, 2628, 519, 12014, 476, 7176, 1966, 6061, 543, 2565, 3206, 3025, 2833, 2042, 689, 942, 547, 942, 930, 540, 938, 2042, 616, 2462, 543, 7294, 267, 1247, 269, 11879, 3206, 568, 519, 6662, 2079, 540, 5013, 547, 1106, 513, 10385, 519, 1641, 568, 1950, 267, 543, 1896, 1114, 8847, 2291, 563, 27078, 894, 3206, 3893, 602, 2565, 1268, 729, 596, 2942, 1582, 2389, 1779, 568, 835, 540, 519, 713, 786, 948, 596, 1711, 930, 3845, 689, 519, 2942, 4555, 269, 28064, 1806, 540, 3206, 1983, 971, 607, 7421, 1299, 10442, 1239, 267, 16208, 3403, 267, 7713, 8925, 1299, 7487, 9266, 4539, 563, 288, 5042, 23673, 568, 606, 27105, 610, 19450, 2219, 4806, 2942, 3206, 3270, 2014, 630, 17141, 2942, 264, 4555, 689, 1010, 610, 1200, 269, 1548, 1281, 2942, 3206, 2014, 2015, 476, 1556, 2360, 540, 2942, 4555, 267, 1519, 519, 1198, 593, 1072, 946, 713, 1702, 547, 3247, 3206, 11874, 269, 7726, 476, 272, 476, 1839, 856, 540, 476, 1839, 2798, 799, 540, 519, 1739, 568, 513, 4295, 2565, 3206, 5578, 5697, 2626, 281, 7492, 568, 2243, 476, 273, 476, 1839, 856, 540, 476, 1839, 2798, 799, 540, 519, 1739, 568, 513, 2942, 2565, 3206, 4356, 540, 2247, 269, 3399, 4974, 2565, 3206, 543, 1966, 6061, 3018, 476, 272, 1018, 4295, 2565, 3206, 1983, 799, 540, 519, 1739, 568, 711, 835, 540, 519, 5722, 2942, 563, 2710, 596, 723, 891, 476, 279, 2565, 3206, 4162, 2565, 3206, 6208, 540, 2247, 666, 1711, 513, 11327, 543, 2500, 9036, 1247, 2324, 609, 1866, 593, 707, 2319, 269, 11790, 602, 3310, 519, 1646, 540, 2565, 3206, 1983, 2565, 3206, 3631, 15427, 676, 1312, 2318, 543, 2942, 2621, 563, 27287, 3206, 13788, 982, 519, 3312, 2942, 2689, 513, 2565, 6514, 540, 519, 3510, 1522, 1291, 596, 547, 7227, 513, 1554, 547, 2445, 707, 4555, 269, 1323, 19829, 781, 3391, 547, 2565, 3206, 2474, 543, 2035, 12172, 281, 547, 1118, 4443, 547, 1174, 267, 547, 1863, 689, 10539, 610, 13509, 267, 547, 4894, 2116, 15247, 743, 10846, 568, 513, 4909, 19870, 540, 2219, 543, 27792, 513, 4909, 2832, 538, 2565, 3206, 563, 27287, 3206, 7592, 1299, 4162, 875, 798, 649, 917, 602, 513, 1268, 568, 513, 1434, 1589, 518, 2565, 17024, 5968, 5693, 543, 25401, 269, 20134, 3206, 568, 711, 2565, 3206, 2942, 3206, 1419, 10525, 3294, 538, 740, 4630, 514, 655, 6285, 1419, 513, 8468, 814, 835, 610, 811, 2043, 945, 269, 16179, 513, 4052, 3391, 547, 2565, 3206, 281, 1898, 3268, 585, 3384, 3280, 7744, 543, 7440, 1247, 20408, 12042, 27509, 547, 7787, 3206, 281, 1224, 476, 276, 2186, 548, 4558, 8039, 910, 32312, 1260, 269, 5303, 781, 2942, 7015, 554, 919, 2542, 855, 14560, 4730, 3381, 3756, 543, 8384, 543, 8613, 543, 519, 3017, 568, 10423, 538, 1010, 2565, 3206, 269, 7476, 3758, 0, 1607, 568, 519, 13033, 2055, 543, 4267, 3296, 593, 13033, 9238, 609, 7778, 585, 1585, 5967, 267, 8013, 6514, 543, 13675, 1449, 269, 8950, 5121, 5967, 2055, 543, 4267, 4896, 8600, 585, 19038, 3363, 1449, 538, 2780, 5121, 2055, 1299, 4267, 593, 4367, 269, 476, 275, 339, 3949, 1260, 910, 707, 1863, 267, 2259, 1449, 3135, 585, 513, 1863, 267, 2259, 13033, 476, 4343, 2139, 2055, 13033, 30304, 544, 22330, 2433, 13261, 4152, 7160, 269, 901, 7688, 786, 1449, 596, 1702, 540, 519, 2596, 2035, 540, 2780, 5121, 476, 1015, 2055, 1923, 676, 989, 2001, 1923, 2063, 8242, 281, 23891, 476, 1704, 267, 476, 1001, 274, 5225, 1491, 519, 7688, 547, 269, 4985, 476, 6344, 4267, 547, 981, 2055, 476, 14917, 10956, 619, 12926, 267, 1022, 4901, 540, 13033, 3334, 1131, 1331, 10956, 619, 267, 855, 2221, 563, 303, 23035, 11400, 2285, 3060, 4648, 519, 4960, 547, 6961, 741, 13033, 524, 8646, 1281, 711, 15476, 981, 8429, 8464, 1317, 981, 2055, 543, 269, 1284, 616, 4274, 1863, 981, 15494, 4267, 1299, 2228, 4255, 538, 524, 8646, 630, 764, 3534, 267, 5121, 476, 274, 17142, 911, 1356, 1107, 30076, 13055, 5121, 476, 274, 630, 24987, 269, 10084, 2228, 1449, 910, 1565, 28162, 538, 2241, 543, 2653, 3268, 2433, 513, 19444, 781, 5850, 10070, 267, 13033, 267, 1617, 603, 15105, 267, 1252, 923, 267, 19180, 267, 17626, 1436, 267, 1368, 328, 596, 786, 581, 4843, 2789, 3903, 2055, 630, 32508, 336, 338, 264, 1759, 593, 4295, 4586, 763, 2347, 1592, 540, 3184, 2789, 3903, 2055, 630, 32508, 336, 264, 689, 519, 1433, 2789, 3903, 2055, 538, 1239, 10618, 543, 13033, 630, 577, 1986, 7688, 264, 3184, 476, 272, 281, 26818, 336, 338, 538, 4367, 547, 1239, 2792, 269, 4985, 547, 2780, 2257, 5614, 476, 1001, 277, 3732, 2055, 585, 519, 3803, 981, 3992, 476, 279, 2491, 519, 3017, 1063, 1930, 543, 6806, 5121, 476, 280, 269, 10713, 527, 2946, 18216, 565, 1664, 632, 21514, 341, 664, 585, 3450, 2199, 1858, 5121, 2879, 320, 1496, 544, 22396, 8014, 523, 3192, 277, 316, 2073, 2890, 7809, 5189, 2121, 321, 3930, 1496, 7773, 8725, 1220, 274, 316, 2073, 11945, 914, 593, 3028, 949, 7985, 689, 1585, 2010, 540, 2042, 3379, 547, 513, 6325, 598, 31037, 269, 3848, 476, 272, 281, 10962, 2596, 3060, 2035, 476, 272, 678, 1157, 344, 9060, 5128, 11432, 1359, 519, 2243, 267, 968, 6343, 616, 5121, 1031, 585, 892, 2789, 3903, 7688, 476, 272, 563, 290, 8646, 13033, 30028, 781, 4367, 547, 23332, 2035, 2347, 782, 519, 2689, 2055, 7396, 1934, 547, 1449, 707, 1620, 540, 519, 269, 595, 322, 3534, 642, 2004, 524, 322, 3534, 642, 7906, 642, 2568, 524, 322, 3534, 476, 272, 23332, 543, 15175, 281, 4367, 547, 5121, 11400, 4267, 476, 1911, 260, 476, 1001, 278, 476, 1001, 279, 1449, 2228, 7688, 543, 1863, 4647, 269, 5192, 1483, 981, 2055, 585, 476, 1220, 268, 6344, 524, 322, 3534, 524, 8646, 14468, 3060, 12314, 524, 322, 333, 822, 1171, 538, 10375, 7792, 3898, 269, 32730, 568, 513, 5318, 1641, 543, 568, 2479, 9750, 543, 1034, 4749, 1031, 5967, 1888, 13033, 2055, 616, 1455, 547, 782, 519, 269, 634, 1007, 635, 696, 807, 3060, 266, 562, 1015, 268, 23669, 981, 568, 2139, 607, 540, 15292, 476, 1001, 279, 1826, 540, 2055, 267, 2789, 3903, 2055, 630, 338, 17532, 543, 2789, 3210, 1070, 8749, 543, 12772, 543, 2773, 2861, 8766, 4367, 547, 13033, 563, 303, 770, 4574, 543, 981, 29794, 262, 5359, 585, 519, 2780, 5121, 26885, 540, 519, 536, 14369, 3318, 18362, 269, 476, 4335, 266, 1863, 2228, 635, 696, 807, 3060, 266, 2259, 1449, 2055, 1759, 593 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 6280, 952, 972, 568, 513, 4960, 602, 4879, 4247, 949, 581, 23545, 539, 267, 5049, 616, 1572, 1055, 610, 789, 1376, 20468, 827, 519, 6009, 789, 616, 4974, 585, 630, 7945, 607, 6009, 538, 519, 6575, 610, 9235, 602, 616, 896, 3463, 267, 610, 6009, 538, 4395, 11060, 1072, 1141, 1898, 4600, 616, 896, 5458, 2566, 1916, 2108, 4462, 322, 1643, 1852, 892, 568, 950, 1053, 798, 711, 1745, 513, 1390, 4308, 540, 8116, 610, 3310, 538, 741, 6280, 2090, 267, 789, 1020, 513, 2070, 602, 741, 3646, 786, 711, 1291, 547, 5551, 4093, 610, 789, 1745, 513, 2631, 540, 27303, 1145, 538, 741, 4081, 1272, 269, 13044, 814, 4843, 1053, 609, 782, 12204, 540, 5007, 12503, 602, 616, 3564, 741, 1852, 269, 1703, 814, 1044, 513, 2603, 540, 5007, 968, 560, 4428, 892, 533, 4979, 909, 593, 1053, 971, 607, 27579, 267, 10072, 267, 4576, 267, 4028, 10593, 538, 543, 856, 540, 6552, 1565, 543, 538, 31261, 960, 269, 901, 666, 2569, 741, 2631, 540, 2123, 1852, 543, 8116, 563, 11514, 1263, 1771, 568, 950, 1053, 2285, 909, 543, 1033, 778, 689, 6280, 267, 2569, 741, 3646, 543, 11198, 741, 7589, 269, 1703, 616, 3335, 1082, 2188, 602, 1404, 883, 771, 1263, 1771, 267, 855, 607, 4143, 547, 713, 4901, 267, 1970, 3024, 532, 543, 7334, 1852, 616, 1079, 1761, 27521, 338, 269, 1879, 513, 2875, 12034, 1100, 10083, 543, 28252, 538, 6280, 543, 950, 789, 22992, 3494, 789, 723, 2370, 610, 1100, 1852, 936, 741, 4081, 1272, 267, 568, 621, 1022, 4898, 789, 616, 693, 1981, 540, 771, 1263, 1771, 888, 289, 2590, 532, 891, 2093, 1927, 267, 513, 7008, 540, 4052, 2994, 616, 8612, 563, 3080, 568, 547, 3142, 3152, 22979, 543, 1852, 883, 1053, 685, 4081, 2729, 267, 865, 789, 666, 581, 8746, 602, 741, 3646, 616, 4502, 621, 269, 1280, 1383, 267, 8015, 519, 10462, 540, 13044, 267, 7855, 1522, 3746, 1047, 1614, 2694, 540, 1053, 685, 2729, 602, 789, 798, 1852, 281, 4674, 630, 6011, 2182, 789, 2119, 1070, 4640, 630, 1492, 1259, 789, 2119, 267, 971, 607, 875, 789, 1459, 741, 960, 267, 1353, 2994, 789, 946, 543, 865, 593, 264, 543, 10182, 630, 6343, 789, 1589, 827, 2933, 267, 741, 14357, 1916, 5194, 568, 547, 1020, 4244, 2081, 1053, 666, 1871, 6280, 269, 1280, 1383, 267, 952, 519, 28252, 540, 513, 1641, 568, 2352, 547, 6542, 267, 7855, 666, 10244, 1018, 568, 5219, 547, 607, 968, 842, 337, 13917, 892, 1871, 971, 607, 4259, 513, 1187, 2534, 267, 26901, 532, 1053, 685, 7279, 267, 7630, 532, 930, 1208, 712, 883, 519, 3992, 543, 8744, 930, 3099, 883, 1543, 267, 4879, 543, 3450, 2409, 563, 4517, 4319, 808, 269, 9410, 568, 6982, 807, 7548, 543, 7548, 540, 3872, 6530, 538, 519, 3427, 540, 4065, 693, 6167, 14684, 17638, 267, 5245, 563, 2252, 596, 1336, 713, 4277, 543, 1616, 5796, 543, 5813, 689, 19174, 543, 6280, 5234, 9447, 1463, 547, 707, 28600, 1142, 3018, 267, 1129, 909, 585, 519, 5990, 28941, 20394, 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 ]
[ 568, 834, 5141, 27222, 545, 657, 632, 3288, 1480, 21059, 2437, 799, 2882, 1568, 899, 834, 763, 2667, 18870, 540, 15584, 257, 543, 834, 18128, 617, 3780, 267, 7216, 13360, 902, 540, 27596, 1701, 5994, 4466, 513, 7452, 344, 2025, 20801, 5627, 2984, 543, 7326, 689, 1004, 945, 5030, 7366, 610, 1256, 5215, 540, 1296, 3516, 256, 2334, 781, 1018, 2542, 8106, 5931, 7959, 899, 780, 3086, 267, 1946, 1058, 649, 1416, 827, 891, 3504, 12591, 286, 1703, 616, 1896, 4128, 1384, 272, 269, 7033, 6804, 14313, 281, 4014, 8106, 5931, 941, 2854, 513, 1279, 942, 3516, 267, 1082, 540, 741, 2093, 2611, 4143, 2221, 269, 1635, 4974, 873, 267, 649, 666, 1451, 3407, 4245, 827, 1272, 267, 7881, 267, 543, 2565, 3206, 563, 273, 269, 8836, 11595, 281, 7335, 8106, 5931, 2636, 721, 547, 5660, 519, 5072, 540, 938, 2413, 10340, 1732, 269, 1284, 666, 1294, 875, 2093, 267, 2418, 267, 543, 5389, 723, 7960, 936, 942, 563, 274, 269, 5678, 543, 13910, 281, 18190, 5931, 1419, 2270, 4190, 1893, 543, 2189, 6163, 602, 666, 8300, 5830, 543, 10529, 2221, 269, 1635, 6313, 891, 1568, 267, 649, 666, 2087, 938, 1378, 2792, 1983, 563, 275, 269, 6184, 17508, 543, 22569, 1588, 281, 3509, 2984, 267, 3197, 267, 543, 4798, 1336, 538, 8106, 5931, 723, 6273, 9118, 2835, 267, 9413, 267, 543, 1148, 4773, 2429, 1686, 269, 5548, 1324, 883, 891, 2959, 540, 6667, 666, 8141, 938, 9345, 543, 5876, 780, 2414, 948, 596, 1205, 3323, 593, 707, 3460, 540, 3695, 8106, 5931, 267, 1934, 781, 513, 2241, 2534, 269, 7994, 835, 2856, 267, 1871, 267, 610, 6249, 689, 513, 8106, 1257, 602, 24889, 609, 596, 269, 3973, 267, 2328, 513, 2110, 5037, 7713, 922, 4644, 543, 875, 621, 1522, 4019, 547, 707, 1272, 610, 519, 1158, 2221, 269, 1411, 1223, 849, 1711, 513, 4062, 540, 11247, 6273, 676, 602, 1523, 269, 901, 1259, 267, 596, 1831, 851, 540, 519, 5571, 9371, 540, 16208, 543, 19825, 8106, 5931, 780, 1103, 3932, 267, 8106, 5931, 2709, 721, 4241, 4030, 883, 519, 4555, 543, 2729, 540, 1004, 689, 1114, 2053, 543, 4025, 269, 1635, 2502, 609, 891, 3504, 1568, 267, 649, 10802, 938, 1620, 540, 519, 1158, 543, 1020, 1898, 1983, 899, 2565, 3206, 543, 2500, 2792, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 298, 531, 678, 321, 341, 822, 30249, 552, 325, 307, 6312, 31014, 329, 302, 552, 307, 2967, 269, 2488, 713, 23333, 4041, 12283, 799, 621, 1281, 269, 898, 814, 824, 8585, 343, 267, 1849, 27222, 545, 657, 267, 1045, 12097, 607, 269, 674, 2350, 343, 573, 527, 1696, 18720, 344, 18255, 521, 269, 1546, 334, 1696, 1849, 27222, 545, 657, 632, 1433, 32461, 7629, 3780, 6039, 476, 1015, 269, 5292, 330, 3405, 543, 23664, 268, 31301, 656, 3780, 269, 23664, 2102, 26709, 267, 689, 1849, 27222, 545, 657, 632, 3288, 269, 674, 761, 345, 22385, 267, 689, 1416, 516, 13755, 600, 269, 25723, 723, 15991, 12873, 538, 519, 4985, 263, 1849, 27222, 545, 657, 632, 3288, 1979, 860, 17144, 19898, 332, 5451, 339, 3821, 2667, 18870, 540, 15584, 267, 3767, 4843, 538, 2473, 269, 595, 1446, 321, 267, 543, 538, 513, 4230, 2001, 2038, 2295, 269, 595, 2211, 540, 28641, 263, 7579, 269, 11829, 663, 328, 267, 4437, 308, 19708, 8619, 4793, 5300, 267, 19274, 269, 5345, 617, 3780, 267, 17623, 540, 27596, 269, 590, 1197, 639, 267, 24686, 1105, 540, 4165, 1470, 577, 263, 476, 24423, 268, 31982, 1040, 7442, 3326, 514, 23581, 263, 9697, 6511, 12832, 32397, 269, 744, 22721, 5588, 297, 853, 306, 659, 337, 298, 564, 15576, 7066, 696, 887, 341, 631, 342, 340, 920, 320, 21663, 1924, 288, 990, 9988, 282, 1913, 282, 14421, 3098, 282, 2680, 282, 476, 278, 263, 1775, 269, 476, 26839, 1070, 519, 1908, 326, 658, 689, 667, 267, 606, 1906, 1942, 2104, 269, 4659, 540, 4139, 9534, 267, 2160, 540, 32160, 269, 634, 20210, 1849, 27222, 545, 657, 632, 3288, 1979, 860, 17144, 1572, 609, 513, 5289, 561, 338, 326, 540, 519, 2160, 676, 4515, 269, 13206, 1640, 267, 519, 21470, 7304, 10725, 585, 9906, 16457, 543, 10866, 540, 9752, 543, 4804, 267, 713, 8947, 1185, 676, 513, 21371, 1577, 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, 5629, 2390, 513, 942, 267, 538, 513, 30152, 2244, 1572, 10897, 16492, 267, 972, 5030, 513, 2186, 543, 21464, 6205, 3957, 12751, 12968, 652, 269, 1261, 6068, 7836, 942, 609, 519, 1004, 538, 1010, 8498, 543, 2141, 19557, 547, 1018, 789, 1185, 547, 2161, 269, 634, 27142, 25343, 1864, 585, 1373, 971, 513, 1434, 26575, 543, 585, 4543, 873, 8164, 789, 2877, 621, 780, 3080, 1554, 267, 513, 2370, 7911, 3957, 15207, 4280, 1010, 3993, 267, 834, 300, 4821, 267, 1018, 1281, 513, 6205, 798, 8119, 3571, 3993, 14452, 267, 834, 288, 6205, 2337, 1491, 1416, 540, 519, 2146, 676, 1818, 2386, 3025, 814, 1426, 267, 12062, 267, 543, 568, 2922, 3010, 20755, 3240, 1287, 4280, 267, 834, 1692, 1281, 513, 6205, 948, 721, 3251, 2922, 8119, 3571, 3993, 6045, 267, 834, 11039, 267, 3006, 3401, 991, 547, 1118, 3652, 547, 1832, 3025, 2922, 269, 1280, 1383, 267, 952, 2576, 6499, 547, 3444, 519, 4155, 267, 649, 3180, 3946, 543, 1413, 1312, 2081, 1354, 15385, 269, 901, 4341, 8952, 721, 2922, 689, 3478, 10413, 676, 6517, 3010, 1103, 10897, 16492, 267, 12751, 12968, 652, 4941, 547, 2327, 1169, 1126, 4607, 606, 2069, 865, 789, 1223, 1451, 875, 547, 1224, 267, 2328, 267, 543, 1293, 269, 1924, 267, 646, 3710, 3506, 543, 21534, 3610, 899, 6004, 269, 12829, 267, 945, 6026, 519, 1453, 1169, 1554, 780, 16031, 269, 12829, 1131, 1419, 2307, 1010, 1053, 267, 834, 1432, 2306, 513, 1390, 6205, 8119, 9741, 15207, 6659, 1010, 1688, 543, 1767, 267, 834, 288, 1390, 6205, 1592, 839, 547, 1866, 267, 2337, 950, 2877, 267, 543, 2306, 2386, 3025, 13978, 2922, 10590, 6004, 269, 12829, 20493, 543, 21330, 1010, 2212, 538, 6876, 780, 19602, 267, 538, 1776, 851, 540, 10897, 16492, 267, 5030, 513, 13085, 1762, 8004, 3957, 1924, 325, 807, 269, 2701, 26927, 3139, 540, 4742, 513, 4387, 835, 1554, 543, 7067, 7210, 1004, 269, 4173, 1909, 2203, 729, 3220, 269, 4858, 557, 24711, 267, 513, 1134, 8153, 10629, 945, 14612, 2066, 10897, 16492, 547, 1521, 2550, 538, 6552, 14252, 780, 306, 1993, 807, 781, 4651, 8068, 1200, 6612, 585, 1565, 543, 3576, 1200, 547, 2743, 3220, 269, 4858, 557, 24711, 269, 1879, 789, 8452, 693, 1200, 16758, 267, 1924, 325, 807, 4718, 1082, 1004, 7996, 3544, 547, 1294, 519, 4583, 4387, 269, 1306, 1352, 14478, 3220, 269, 4858, 557, 24711, 7390, 547, 1142, 1268, 267, 1924, 325, 807, 2219, 267, 834, 32452, 256, 3807, 899, 631, 4821, 5143, 803, 267, 5075, 776, 3401, 616, 5363, 543, 12391, 2509, 1866, 3010, 12988, 538, 12751, 12968, 652, 781, 8498, 267, 519, 1453, 4121, 827, 1114, 2010, 540, 3401, 998, 2984, 3838, 676, 22242, 1282, 19771, 896, 519, 2462, 3529, 269, 1358, 4362, 602, 930, 3401, 941, 4589, 945, 2813, 4190, 2835, 4904, 609, 2093, 543, 4245, 269, 11524, 941, 5159, 945, 13556, 5961, 15386, 741, 5876, 269, 1656, 2943, 267, 1866, 3366, 2477, 1175, 899, 12751, 12968, 652, 1705, 780, 2026, 2395, 5293, 267, 15207, 267, 1924, 325, 807, 267, 543, 824, 1453, 8057, 909, 6616, 519, 2956, 540, 5718, 543, 922, 1764, 593, 741, 2729, 269, 2060, 5583, 689, 8797, 4079, 1472, 873, 267, 891, 3214, 25577, 883, 17519, 2043, 8149, 547, 7674, 741, 2950, 1107, 6273, 676, 519, 5075, 776, 3401, 789, 11402, 2429, 741, 6689, 780, 4517, 865, 267, 1272, 4682, 593, 538, 519, 7524, 8498, 540, 10897, 16492, 1141, 1169, 1554, 4547, 1007, 3255, 585, 2208, 267, 1565, 267, 543, 1620, 519, 3020, 2495, 540, 5718, 269, 3414, 2241, 6411, 540, 11587, 543, 11428, 267, 519, 2104, 5108, 4797, 547, 4163, 4464, 519, 9371, 2451, 3297, 676, 12751, 12968, 652, 543, 3220, 269, 4858, 557, 24711, 1107, 11121, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7049, 516, 281, 15348, 1299, 6554, 454, 288, 2494, 540, 519, 4658, 630, 3422, 277, 994, 5591, 835, 666, 20912, 602, 12751, 519, 12968, 22789, 631, 269, 589, 269, 715, 18553, 267, 631, 10422, 269, 729, 519, 1034, 3839, 22267, 538, 519, 2197, 269, 6787, 596, 4280, 538, 519, 2749, 610, 538, 1010, 1753, 8498, 267, 1323, 1092, 267, 789, 1131, 2995, 596, 646, 729, 513, 812, 540, 519, 1004, 269, 594, 723, 547, 16153, 713, 689, 519, 856, 3553, 610, 3116, 519, 1650, 594, 6557, 2469, 547, 2995, 786, 1118, 1100, 2631, 563, 763, 15669, 568, 13095, 8270, 6341, 2728, 267, 606, 4998, 2065, 1153, 4116, 538, 513, 14070, 3979, 2197, 23401, 2022, 12258, 11102, 13280, 269, 6168, 6341, 2728, 267, 3627, 4303, 5206, 538, 513, 476, 3422, 277, 5384, 12139, 2689, 281, 968, 3891, 568, 267, 538, 1249, 267, 5310, 519, 1034, 2502, 1915, 538, 5708, 827, 4000, 2094, 519, 5869, 540, 20717, 576, 595, 776, 779, 631, 3563, 9652, 267, 945, 729, 1249, 582, 636, 547, 513, 3043, 7810, 4013, 31422, 3245, 519, 856, 3553, 267, 519, 8360, 789, 1131, 2995, 596, 4667, 1713, 11652, 602, 18327, 547, 581, 519, 2013, 607, 519, 1650, 4652, 9529, 563, 301, 3570, 32765, 877, 1520, 16660, 328, 5174, 1066, 344, 1695, 454, 2419, 664, 8566, 836, 2353, 21178, 1513, 630, 1708, 274, 994, 9515, 5433, 741, 4064, 267, 782, 1346, 11056, 619, 563, 763, 6679, 1913, 2097, 689, 22784, 1777, 320, 774, 584, 8705, 267, 513, 3109, 3185, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 22335, 1299, 32532, 2762, 1315, 8466, 1315, 17496, 776, 24285, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 6637, 476, 1626, 281, 13898, 543, 1215, 1284, 13760, 519, 2622, 692, 5331, 596, 616, 3168, 693, 513, 4190, 7206, 269, 1548, 798, 596, 1294, 286, 1411, 1522, 5469, 519, 4778, 267, 5546, 267, 543, 3615, 13269, 538, 519, 11247, 269, 1809, 723, 596, 2479, 2219, 827, 875, 596, 1174, 1018, 596, 2811, 7487, 286, 3657, 596, 7487, 519, 1482, 3364, 607, 519, 1268, 1985, 547, 596, 286, 1656, 952, 711, 267, 1946, 711, 286, 1452, 2055, 1205, 693, 519, 2295, 540, 6138, 267, 799, 568, 519, 1353, 540, 4909, 2055, 827, 6228, 267, 4641, 267, 1702, 267, 2418, 267, 543, 1893, 780, 3080, 7936, 540, 6138, 568, 1572, 4020, 13659, 269, 901, 2856, 5267, 602, 1004, 8362, 1711, 741, 1378, 1620, 543, 1702, 1759, 593, 741, 2833, 543, 4205, 609, 519, 1158, 1472, 873, 269, 4340, 547, 4020, 643, 1235, 267, 972, 568, 1100, 835, 834, 322, 8091, 257, 1259, 547, 4612, 1945, 899, 513, 960, 540, 1148, 282, 3079, 267, 1142, 1268, 6770, 741, 2189, 5133, 547, 7703, 593, 519, 1843, 789, 616, 11287, 780, 4131, 781, 1589, 827, 713, 538, 2474, 540, 938, 7206, 1383, 269, 589, 4020, 22999, 1131, 2161, 602, 707, 7664, 540, 519, 7206, 568, 6766, 676, 1082, 2188, 267, 1519, 707, 2250, 2833, 609, 1148, 267, 707, 2686, 4282, 267, 707, 4664, 267, 543, 1256, 707, 7099, 693, 602, 1880, 4090, 269, 2353, 540, 891, 1919, 2097, 1927, 547, 948, 596, 1711, 707, 1378, 2189, 1620, 540, 519, 7206, 780, 3086, 1577, 781, 5635, 713, 547, 1776, 10952, 3350, 1572, 632, 18586, 269, 2755, 4020, 13659, 11363, 519, 1909, 540, 1367, 1995, 543, 8226, 538, 5935, 2495, 267, 632, 18586, 6212, 593, 8840 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 631, 14709, 681, 2532, 514, 454, 28893, 4708, 15209, 10136, 723, 2097, 896, 3586, 4323, 2094, 789, 1427, 809, 7033, 321, 4157, 14654, 538, 476, 1001, 274, 269, 4653, 267, 1152, 1978, 2694, 540, 519, 2749, 616, 2808, 2922, 267, 543, 5375, 17631, 616, 13657, 539, 711, 547, 3643, 519, 2749, 2394, 519, 5208, 705, 919, 269, 17421, 676, 631, 14709, 681, 2532, 514, 454, 288, 7911, 6083, 1846, 1524, 519, 20997, 5211, 593, 513, 14039, 5766, 826, 267, 513, 2757, 11308, 10935, 1031, 585, 3560, 543, 10068, 269, 1773, 698, 4240, 676, 7928, 26221, 267, 5689, 328, 3470, 1161, 7361, 1317, 540, 922, 1569, 547, 519, 20997, 267, 519, 3791, 13074, 5757, 538, 4000, 269, 17421, 676, 631, 14709, 681, 2532, 514, 0, 289, 269, 476, 5325, 277, 271, 269, 9050, 2834, 18062, 540, 1114, 15437, 616, 5116, 1985, 547, 1142, 824, 267, 607, 3254, 538, 519, 4137, 269, 769, 1142, 1900, 267, 1079, 11105, 18695, 630, 5976, 513, 3068, 538, 1455, 264, 616, 5828, 998, 1422, 7268, 6234, 476, 3445, 23373, 15132, 315, 264, 827, 519, 7852, 8429, 998, 519, 8998, 543, 13902, 547, 519, 1455, 3068, 269, 1215, 1082, 1114, 12417, 666, 581, 6913, 609, 513, 5311, 540, 971, 3268, 888, 291, 1737, 1467, 1163, 1600, 593, 476, 1015, 5988, 476, 1001, 277, 269, 0, 293, 2948, 924, 476, 1220, 280, 594, 9016, 541, 617, 4053, 615, 454, 5804, 7046, 32098, 15099, 454, 7034, 16256, 11621, 5410, 5962, 454, 7704, 269, 275, 269, 4905, 5681, 3405, 3278, 1344, 998, 1964, 622, 618, 269, 9399, 269, 275, 269, 6349, 22553, 513, 2241, 3919, 540, 1292, 543, 29884, 2093, 593, 513, 1888, 269, 9399, 269, 275, 269, 4962, 21733, 2231, 1344, 4143, 547, 1818, 513, 3375, 269, 9399, 269, 276, 269, 6860, 21964, 1896, 2959, 585, 15388, 1344, 1519, 4704, 543, 16878, 2959, 563, 273, 268, 274, 2395, 630, 327, 2100, 2685, 994, 10743, 786, 581, 2111, 547, 2697, 741, 5172, 594, 9016, 541, 617, 1660, 615, 267, 4766, 602, 1660, 615, 543, 5659, 1946, 602, 1268, 568, 741, 5172, 1660, 615, 563, 17445, 1053, 547, 519, 7329, 10560, 617, 2985, 781, 1660, 615, 17609, 269, 12315, 873, 930, 942, 547, 1413, 998, 519, 1114, 1660, 1667, 602, 786, 581, 10283, 538, 713, 1032, 781, 7329, 10560, 617, 269, 5620, 519, 1053, 2328, 476, 276, 4128, 1946, 602, 1268, 568, 741, 5172, 269, 6435, 1053, 2328, 513, 5037, 609, 513, 1292, 2856, 543, 5885, 3877, 607, 547, 945, 568, 741, 5172, 1660, 615, 563, 7628, 519, 594, 9016, 541, 617, 267, 594, 1616, 1142, 2875, 547, 3950, 741, 5172, 1660, 615, 269, 12344, 789, 1223, 5173, 5195, 829, 5662, 267, 3328, 942, 1063, 2638, 9557, 269, 1358, 1223, 849, 8495, 1018, 7986, 14522, 13664, 2934, 519, 1660, 1667, 3444, 630, 7704, 274, 268, 276, 288, 269, 1691, 1040, 0, 269, 1547, 1547, 546, 522, 454, 344, 522, 579, 561, 1775, 737, 552, 579, 521, 7790, 570, 552, 561, 561, 454, 339, 554, 552, 530, 522, 678, 561, 546, 912, 347, 295, 309, 3722, 1299, 4826, 454, 12709, 1261, 908, 3436, 14333, 623, 7927, 1299, 30166, 2167, 454, 4504, 18166, 14333, 623, 7927, 454, 28959, 27124, 9537, 454, 21511, 1079, 1292, 2010, 540, 8022, 1949, 1031, 547, 1683, 5812, 267, 1256, 8022, 547, 782, 519, 1585, 11623, 543, 9703, 5624, 540, 513, 1753, 616, 7677, 2167, 543, 3002, 15450, 269, 4197, 875, 891, 1949, 960, 543, 519, 3604, 543, 10486, 1063, 873, 568, 16601, 1354, 596, 666, 1118, 606, 5483, 3375, 3823, 519, 6718, 540, 513, 1007, 1062, 585, 707, 1753, 269, 1284, 1683, 606, 2653, 3562, 17000, 3391, 2630, 269, 898, 568, 2854, 547, 581, 3015, 547, 4896, 267, 7488, 540, 707, 1377, 540, 1702, 8198, 3891, 908, 1949, 602, 3636, 519, 3003, 1753, 616, 5219, 547, 607, 3844, 8022, 1317, 3002, 568, 6383, 676, 513, 3844, 1062, 543, 1287, 16487, 2429, 519, 1753, 267, 1034, 4122, 3842, 513, 3060, 540, 28954, 269, 901, 568, 1114, 689, 15409, 28909, 267, 849, 1634, 607, 2230, 28909, 267, 799, 1683, 22297, 8022, 547, 513, 2582, 4055, 543, 798, 711, 8415, 28954, 563, 4913, 267, 3844, 8022, 1949, 616, 849, 3648, 811, 7199, 982, 15409, 28909, 543, 946, 811, 1648, 269, 1280, 1507, 6306, 906, 543, 3810, 6578, 6857, 6800, 267, 15409, 28909, 666, 1683, 513, 811, 10097, 4781, 269, 769, 1840, 267, 15409, 28909, 666, 1118, 513, 2603, 540, 2631, 585, 5624, 799, 616, 1152, 1031, 12212, 267, 971, 607, 6095, 1137, 267, 16437, 267, 3490, 906, 267, 543, 9205, 24259, 269, 1261, 908, 971, 2127, 609, 3844, 8022, 950, 789, 616, 711, 1419, 8246, 568, 513, 3653, 540, 2724, 543, 1648, 563, 763, 1079, 1034, 1455, 2010, 540, 3844, 8022, 1949, 616, 7677, 2167, 543, 3002, 15450, 269, 4014, 7677, 2167, 2611, 519, 1034, 2442, 10821, 8022, 2029, 267, 3002, 15450, 723, 1044, 1818, 1713, 538, 30030, 267, 7361, 1813, 547, 741, 3152, 1648, 4398, 543, 2702, 547, 1683, 711, 1152, 8022, 267, 855, 849, 9023, 269, 2755, 649, 2263, 7677, 2167, 543, 3002, 15450, 538, 3152, 1469, 2663, 538, 519, 1257, 267, 741, 2596, 3017, 814, 547, 798, 609, 875, 789, 3132, 3002, 563, 288, 19460, 5932, 3002, 3842, 513, 8781, 1184, 602, 568, 1031, 547, 3636, 519, 2011, 543, 1287, 15814, 713, 3636, 539, 2011, 2429, 519, 1753, 269, 1635, 4334, 267, 513, 3002, 6802, 5932, 3002, 676, 27300, 3579, 2011, 538, 519, 1753, 609, 15911, 2011, 538, 606, 3544, 4087, 269, 3807, 607, 513, 21067, 5932, 4411, 2011, 676, 13830, 519, 3636, 2011, 3330, 519, 26654, 543, 546, 18804, 621, 883, 519, 10051, 267, 865, 1281, 513, 3002, 6802, 1711, 3636, 2011, 676, 13830, 519, 4411, 2011, 538, 519, 11623, 540, 519, 2777, 543, 546, 18804, 621, 3544, 540, 519, 1753, 563, 23338, 28909, 960, 593, 519, 6240, 540, 9001, 513, 1379, 2707, 547, 2196, 513, 1184, 602, 4679, 519, 2837, 540, 519, 4478, 2011, 269, 1717, 267, 1312, 519, 1379, 2959, 8246, 543, 519, 8022, 3157, 1031, 4268, 1851, 8022, 1949, 269, 22527, 3602, 593, 519, 3135, 267, 649, 2263, 519, 2407, 2039, 540, 2139, 1379, 2959, 543, 3119, 8022, 3157, 269, 769, 713, 3296, 267, 649, 2491, 875, 7677, 2167, 543, 3002, 15450, 960, 593, 513, 2596, 267, 4909, 1377, 269, 2334, 786, 1683, 513, 5748, 585, 519, 4901, 540, 519, 5383, 543, 11393, 540, 1114, 1379, 2959, 543, 8022, 3157, 799, 666, 581, 1336, 538, 824, 6810, 540, 713, 3135, 563, 314, 12988, 547, 5440, 2639, 288, 19460, 568, 513, 2101, 3844, 8022, 27115, 602, 568, 18385, 8704, 3330, 519, 1753, 609, 519, 3483, 540, 3246, 3002, 547, 2901, 782, 267, 610, 513, 5354, 540, 519, 9703, 5624, 269, 634, 2413, 19460, 568, 513, 1796, 29671, 1770, 602, 1281, 711, 2154, 513, 16403, 2284, 585, 922, 5106, 269, 589, 19460, 2112, 916, 519, 2011, 538, 513, 1753, 676, 1210, 513, 8781, 1184, 543, 25935, 3002, 689, 519, 9688, 9362, 563, 23744, 267, 7622, 7677, 2167, 616, 9286, 607, 2901, 968, 1718, 14819, 892, 610, 968, 12061, 268, 1718, 14819, 5608, 4470, 593, 875, 3608, 789, 616, 538, 13830, 3002, 689, 519, 9688, 9362, 269, 30166, 2167, 609, 31931, 540, 476, 3445, 260, 610, 811, 616, 1634, 607, 7873, 14819, 7677, 2167, 1317, 789, 616, 865, 3608, 538, 25935, 3002, 602, 789, 2014, 519, 1216, 11517, 3330, 519, 9688, 547, 7873, 1619, 269, 1452, 7677, 2167, 666, 1683, 1713, 1648, 9806, 3448, 547, 811, 2757, 1875, 268, 1718, 14819, 4559, 563, 288, 19460, 666, 581, 7745, 1524, 883, 1614, 1016, 1606, 2448, 338, 281, 3002, 5108, 267, 3002, 3892, 267, 543, 10512, 8060, 269, 634, 3002, 5108, 3334, 3335, 1331, 519, 6633, 619, 267, 3002, 9401, 9734, 267, 8908, 1802, 1356, 267, 543, 642, 757, 269, 634, 6633, 619, 1683, 513, 18723, 602, 568, 1287, 6537, 883, 519, 3002, 9401, 9734, 607, 513, 1267, 540, 2604, 2813, 676, 519, 8908, 1802, 1356, 269, 769, 2490, 267, 519, 18723, 3123, 513, 13674, 5114, 602, 7472, 3905, 9362, 269, 1306, 789, 1780, 998, 267, 3002, 568, 11843, 689, 519, 3905, 9362, 547, 519, 3002, 9401, 9734, 543, 1031, 547, 3636, 519, 2011, 538, 519, 1753, 269, 1306, 513, 1267, 540, 713, 1184, 267, 519, 9362, 2933, 3579, 543, 616, 1287, 30461, 998, 519, 642, 757, 269, 1879, 6217, 519, 2262, 968, 325, 1248, 864, 5608, 1034, 1004, 1589, 540, 513, 1804, 17285, 4216, 538, 519, 25810, 269, 901, 568, 519, 3002, 5108, 851, 540, 519, 19460, 563, 4913, 267, 10451, 3002, 568, 540, 3908, 946, 8259, 621, 666, 1287, 581, 3927, 7856, 547, 519, 1367, 9703, 5624, 540, 519, 1753, 269, 901, 568, 12913, 3842, 519, 3002, 3892, 1016, 1606, 2448, 540, 513, 19460, 269, 4107, 3335, 267, 519, 3002, 3892, 1016, 1606, 2448, 568, 16922, 540, 513, 3060, 540, 2011, 28954, 799, 616, 13740, 1500, 540, 2901, 4496, 610, 5068, 269, 589, 10178, 9514, 338, 3636, 539, 2011, 883, 3761, 28954, 799, 3142, 621, 883, 519, 1367, 11623, 540, 513, 1753, 269, 11531, 267, 3579, 2011, 568, 15504, 883, 2132, 28954, 543, 6933, 730, 1394, 547, 519, 19460, 269, 2991, 8429, 998, 519, 3002, 9401, 9734, 267, 519, 3579, 2011, 3587, 3636, 2011, 543, 568, 14593, 856, 998, 519, 3761, 28954, 267, 556, 2275, 597, 1529, 908, 1394, 883, 519, 11623, 269, 901, 4783, 5170, 2394, 782, 540, 519, 2011, 538, 519, 1753, 568, 3636, 539, 547, 519, 2556, 2837, 269, 6270, 513, 3002, 3892, 1062, 568, 1634, 607, 606, 968, 1515, 28681, 892, 1062, 563, 7661, 267, 972, 814, 547, 581, 513, 1259, 547, 1852, 519, 5106, 540, 519, 19460, 779, 3002, 5108, 543, 3002, 3892, 1949, 269, 4107, 1004, 616, 5432, 609, 519, 27687, 520, 267, 799, 568, 519, 5007, 1852, 602, 2636, 519, 3593, 547, 1305, 519, 5934, 5551, 4055, 2837, 269, 769, 1840, 547, 519, 27687, 520, 267, 519, 19460, 814, 513, 1297, 540, 4835, 8060, 267, 1519, 519, 3154, 11896, 267, 5337, 3438, 267, 27307, 1852, 267, 18723, 9300, 267, 9514, 518, 1852, 267, 3970, 1852, 267, 543, 18723, 5066, 719, 6467, 563, 4322, 616, 2965, 711, 607, 7294, 607, 741, 4408, 949, 1118, 873, 3100, 269, 634, 3154, 11896, 8060, 519, 2095, 540, 3154, 267, 543, 10741, 950, 519, 27687, 520, 4051, 338, 519, 19460, 547, 2253, 5106, 269, 1879, 519, 3154, 8928, 883, 519, 6633, 619, 267, 621, 568, 5337, 1243, 676, 519, 5337, 3438, 269, 634, 27307, 1852, 568, 513, 2241, 5547, 4604, 602, 3096, 519, 18723, 9300, 547, 3313, 2436, 513, 18723, 568, 1459, 269, 1403, 972, 568, 1100, 18723, 267, 1287, 519, 27307, 1852, 4051, 338, 519, 3154, 11896, 547, 9505, 1055, 519, 2095, 540, 3154, 269, 4495, 519, 6633, 619, 616, 5665, 267, 519, 9514, 518, 1852, 786, 2490, 593, 519, 9514, 518, 5179, 543, 2253, 519, 1184, 540, 25738, 2011, 998, 519, 3002, 9401, 9734, 269, 769, 2013, 519, 19460, 23986, 1846, 267, 519, 3970, 1852, 568, 15181, 543, 4051, 338, 519, 27307, 1852, 547, 3247, 519, 2095, 540, 3154, 269, 6684, 267, 538, 2013, 519, 18723, 568, 711, 1373, 6537, 883, 519, 3002, 9401, 9734, 267, 519, 18723, 5066, 719, 6467, 786, 2014, 519, 3154, 547, 581, 9505, 1055, 269, 1452, 3106, 2934, 616, 1271, 267, 607, 606, 23986, 908, 19460, 610, 16789, 569, 6417, 18723, 666, 1831, 1761, 3595, 10898, 563, 23744, 267, 519, 1114, 3334, 540, 513, 19460, 2861, 3844, 8022, 1062, 666, 581, 30465, 543, 8719, 10446, 540, 835, 1776, 269, 1280, 1383, 267, 513, 1007, 19460, 630, 17742, 5108, 264, 666, 581, 8704, 9001, 2025, 13811, 1740, 630, 17742, 3892, 1040, 589, 29840, 532, 27687, 520, 630, 6016, 1049, 8060, 264, 666, 581, 8719, 1510, 2348, 547, 5372, 2901, 519, 19460, 630, 17742, 5108, 264, 610, 519, 13811, 1740, 630, 17742, 3892, 1040, 634, 1034, 7199, 3334, 547, 5372, 610, 7816, 616, 3622, 519, 6633, 619, 543, 519, 3002, 9401, 9734, 269, 769, 930, 2665, 267, 621, 949, 1118, 811, 2883, 2631, 547, 5372, 519, 3003, 19460, 1770, 2864, 982, 7816, 891, 3334, 563, 314, 12988, 547, 5440, 2639, 2467, 616, 1079, 1292, 2010, 540, 7677, 2167, 267, 19040, 676, 7154, 540, 3002, 3892, 269, 634, 1079, 2010, 616, 281, 3844, 2011, 19460, 1949, 543, 1216, 268, 543, 9252, 2861, 3289, 3055, 1949, 269, 6239, 2011, 7677, 2167, 616, 519, 1034, 2442, 10821, 8022, 1949, 538, 3345, 3013, 543, 789, 960, 676, 12419, 12699, 2011, 689, 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 ]
[ 540, 519, 11401, 269, 594, 16761, 519, 4527, 540, 519, 1788, 9614, 2899, 513, 3018, 607, 1010, 5583, 729, 2629, 585, 519, 12032, 540, 713, 1788, 269, 594, 849, 3893, 519, 4247, 9516, 689, 1864, 547, 2061, 1022, 28842, 1466, 538, 519, 2104, 269, 634, 6364, 540, 1142, 5870, 729, 8045, 2429, 519, 1985, 3018, 543, 594, 729, 3238, 538, 519, 4305, 4058, 269, 901, 1788, 1131, 711, 723, 1044, 6192, 593, 942, 952, 594, 22821, 1406, 5342, 606, 14969, 1353, 593, 519, 1644, 1888, 269, 4634, 1354, 4358, 713, 1788, 267, 594, 8202, 539, 519, 4950, 538, 3406, 540, 1007, 543, 3860, 2093, 547, 2936, 713, 1587, 1374, 269, 594, 4682, 998, 2147, 3785, 543, 4718, 519, 2553, 602, 941, 8045, 269, 5047, 267, 4901, 609, 1250, 2319, 5280, 803, 513, 2603, 547, 12492, 1007, 12485, 543, 1020, 513, 1697, 1544, 585, 519, 1788, 269, 594, 8045, 519, 2504, 4441, 543, 4553, 6789, 10933, 543, 595, 4932, 288, 585, 2417, 5583, 593, 8888, 519, 1587, 563, 296, 4371, 8885, 3743, 585, 4180, 602, 519, 4247, 941, 5645, 856, 9108, 2429, 519, 1788, 269, 1280, 713, 3483, 267, 594, 16761, 519, 2754, 547, 1683, 3106, 2866, 547, 519, 1788, 2319, 547, 10536, 4656, 3823, 519, 1644, 12227, 269, 594, 27058, 519, 946, 540, 5958, 13841, 3684, 1354, 7598, 621, 547, 3035, 3388, 18172, 269, 594, 3177, 8825, 23157, 547, 1250, 8284, 4600, 543, 1500, 621, 25471, 1247, 7231, 609, 5230, 12227, 269, 594, 24892, 519, 2238, 540, 1250, 2319, 8593, 3298, 543, 11461, 873, 998, 2352, 5933, 269, 594, 24458, 602, 1250, 6272, 941, 711, 7133, 519, 1604, 538, 513, 2942, 1259, 269, 594, 5249, 538, 13076, 609, 519, 13013, 11190, 4441, 543, 519, 960, 3106, 3652, 602, 941, 7396, 676, 19413, 14825, 725, 7577, 563, 7628, 519, 1576, 540, 713, 1788, 267, 594, 729, 8362, 3238, 538, 2930, 1867, 1603, 4247, 269, 3733, 4971, 936, 2296, 1893, 568, 3833, 2178, 865, 594, 1031, 713, 5578, 585, 519, 4324, 540, 1250, 2754, 269, 594, 5423, 513, 2143, 2943, 2312, 1867, 602, 7152, 782, 519, 3157, 540, 519, 1788, 267, 4358, 689, 20487, 1353, 547, 9273, 267, 1374, 267, 2504, 267, 543, 10380, 540, 519, 3803, 1587, 269, 634, 1867, 729, 1271, 547, 1832, 513, 2754, 2594, 269, 594, 849, 14360, 519, 9276, 540, 713, 1788, 543, 1500, 2386, 602, 789, 759, 3660, 1369, 519, 6578, 6302, 540, 519, 1788, 269, 1280, 891, 4247, 267, 594, 1031, 9786, 6478, 543, 9786, 9185, 3292, 563, 7069, 1514, 2470, 5280, 803, 547, 1020, 7874, 7554, 609, 519, 1788, 2319, 269, 594, 729, 2111, 547, 2226, 8994, 3972, 543, 4159, 3659, 17349, 609, 782, 519, 2818, 2429, 519, 1788, 269, 594, 5249, 609, 873, 538, 10103, 799, 16866, 519, 8374, 540, 713, 1788, 269, 1284, 11542, 676, 1142, 824, 779, 2427, 543, 19443, 1142, 824, 950, 2877, 269, 594, 11231, 513, 1967, 5428, 1310, 519, 12032, 540, 713, 1788, 547, 5431, 519, 1367, 3646, 540, 1142, 4759, 563, 7069, 4295, 2930, 1702, 540, 7344, 4702, 543, 5663, 3157, 5129, 513, 1883, 1909, 538, 1967, 540, 713, 1788, 269, 594, 729, 2111, 547, 3035, 513, 1164, 2298, 1582, 3146, 335, 1515, 532, 7450, 602, 1558, 519, 8112, 4170, 540, 519, 7218, 269, 5047, 267, 594, 729, 2111, 547, 1118, 1250, 2754, 10583, 269, 634, 1164, 18286, 7450, 609, 31668, 729, 606, 6099, 3070, 538, 2361, 6080, 607, 621, 22485, 6283, 942, 543, 1022, 4960, 540, 1480, 5470, 269, 634, 5506, 540, 4929, 3441, 547, 519, 7450, 729, 849, 4389, 1813, 547, 519, 12747, 2934, 269, 594, 6707, 8045, 519, 4550, 2275, 337, 1662, 1062, 543, 17820, 1250, 1217, 520, 4369, 269, 634, 1587, 729, 9863, 547, 581, 1942, 18026, 267, 3810, 1922, 23341, 267, 543, 4625, 5150, 563, 4467, 7065, 1890, 23227, 566, 7797, 20996, 23910, 7300, 281, 22512, 518, 9210, 28964, 476, 274, 454, 1103, 713, 4876, 12558, 267, 594, 723, 5941, 1250, 2754, 1788, 3823, 9605, 17029, 1782, 1744, 583, 1562, 269, 2311, 602, 942, 267, 594, 729, 6964, 607, 513, 13870, 23910, 693, 519, 19413, 14825, 725, 623, 26404, 13456, 269, 594, 5249, 593, 713, 1788, 689, 30269, 547, 21718, 543, 782, 519, 2238, 941, 1759, 538, 519, 29180, 267, 3127, 563, 27852, 17029, 1782, 1744, 583, 1562, 616, 3833, 3730, 538, 519, 3871, 1141, 3354, 568, 2838, 585, 519, 4055, 602, 568, 538, 513, 14167, 1858, 269, 634, 4170, 540, 891, 5066, 619, 1331, 282, 15006, 267, 4222, 267, 25894, 267, 543, 1970, 5826, 269, 4475, 267, 538, 713, 1788, 267, 782, 891, 4170, 941, 6854, 538, 2247, 547, 1374, 513, 1970, 21057, 12902, 9505, 614, 602, 666, 581, 1031, 585, 5007, 607, 1134, 607, 4835, 5301, 269, 634, 4070, 540, 713, 5057, 729, 2178, 543, 519, 3044, 540, 4959, 476, 277, 2190, 279, 729, 4553, 585, 8888, 5301, 269, 5015, 267, 519, 9165, 3769, 519, 5542, 540, 12902, 9505, 614, 1826, 543, 1225, 1555, 9043, 602, 14018, 519, 7817, 779, 7569, 563, 7628, 713, 1788, 267, 594, 5645, 856, 519, 1739, 4247, 607, 829, 519, 7817, 779, 4170, 3248, 268, 23850, 519, 3595, 11259, 12902, 9505, 1562, 538, 13076, 609, 519, 4959, 476, 277, 2190, 279, 3044, 454, 268, 2961, 3072, 856, 3573, 1382, 547, 1353, 519, 1374, 538, 3178, 454, 268, 28577, 730, 519, 12902, 9505, 1562, 607, 829, 519, 7817, 779, 4170, 543, 4087, 16551, 454, 268, 3038, 3660, 2953, 1570, 9043, 267, 2681, 267, 543, 10155, 602, 14018, 519, 7817, 779, 2679, 454, 268, 10318, 1441, 519, 5078, 7516, 540, 519, 9505, 1562, 3514, 519, 6098, 4087, 454, 268, 594, 8045, 3608, 3435, 547, 2569, 1942, 543, 3002, 2530, 689, 519, 2679, 11623, 454, 268, 8111, 14876, 519, 2818, 540, 519, 4305, 4403, 543, 12649, 741, 12644, 693, 519, 1439, 540, 519, 3018, 454, 268, 16680, 539, 519, 1788, 1239, 543, 5423, 513, 1788, 960, 1867, 585, 519, 2754, 454, 268, 5900, 2105, 11401, 609, 519, 1788, 9614, 543, 519, 7817, 543, 5941, 519, 2042, 267, 9283, 267, 543, 3356, 540, 519, 1788, 454, 268, 11649, 7757, 519, 4441, 540, 9036, 3106, 547, 2327, 602, 1100, 1272, 729, 13155, 1282, 519, 4070, 2238, 454, 763, 10721, 15796, 8711, 1250, 25084, 607, 3254, 2630, 3248, 268, 9608, 7177, 11314, 454, 2690, 519, 1374, 540, 519, 12902, 9505, 1562, 267, 1101, 569, 267, 594, 2966, 519, 5397, 1770, 547, 3888, 621, 547, 519, 9505, 614, 14788, 2047, 269, 769, 2013, 540, 5230, 12902, 9505, 1562, 267, 594, 8045, 5832, 6771, 269, 594, 2966, 519, 5397, 1770, 610, 6382, 1634, 607, 2427, 821, 267, 1210, 513, 21431, 10591, 5627, 513, 17860, 14788, 269, 594, 7471, 3106, 26039, 543, 3970, 17176, 269, 594, 849, 11368, 513, 8261, 5665, 7154, 585, 6595, 2665, 269, 634, 3803, 5057, 1031, 538, 519, 1374, 729, 606, 3167, 5179, 269, 1703, 729, 1100, 991, 585, 606, 3167, 20347, 538, 713, 1374, 607, 594, 1031, 519, 21431, 10591, 609, 519, 1582, 1532, 571, 6362, 4183, 269, 594, 5340, 513, 1906, 9273, 547, 3313, 519, 5551, 6724, 971, 607, 10279, 12773, 267, 20358, 3106, 3815, 267, 8261, 5665, 4452, 267, 8066, 18165, 267, 543, 3977, 3432, 269, 594, 1031, 3864, 3106, 4441, 585, 519, 6388, 540, 713, 1374, 269, 1280, 6595, 8261, 3681, 267, 594, 8704, 1688, 1835, 1678, 543, 1688, 5832, 936, 20183, 269, 594, 1305, 7344, 543, 3059, 7182, 585, 519, 3970, 17176, 563, 296, 5462, 519, 7516, 540, 519, 1062, 538, 28935, 543, 5462, 2930, 3877, 899, 3977, 3432, 267, 10338, 267, 1379, 267, 4027, 2557, 267, 2597, 267, 10279, 12773, 267, 3092, 269, 634, 1788, 849, 3769, 8888, 5230, 10198, 540, 9505, 1562, 269, 1280, 713, 3483, 267, 594, 2966, 18165, 19349, 1062, 269, 1280, 891, 5230, 3595, 15951, 12902, 9505, 1562, 267, 594, 1031, 5832, 6771, 585, 6117, 7271, 269, 901, 14764, 729, 2966, 1210, 513, 28788, 821, 5179, 602, 729, 9280, 609, 513, 7344, 3970, 6467, 267, 3106, 26039, 267, 1808, 23049, 267, 838, 13702, 1115, 267, 5832, 267, 17684, 1305, 267, 3092, 269, 594, 8704, 519, 3106, 20347, 1510, 20950, 538, 519, 1062, 1374, 269, 901, 729, 2944, 547, 9585, 1079, 1919, 282, 585, 519, 9505, 614, 14788, 779, 12946, 1489, 543, 585, 519, 17527, 540, 7344, 20347, 538, 2013, 10231, 7018, 10393, 563, 2414, 2824, 519, 1034, 3617, 3106, 26039, 585, 519, 6069, 1374, 267, 594, 2919, 513, 1434, 1620, 540, 519, 1239, 540, 519, 3106, 26039, 269, 594, 2808, 519, 9505, 614, 779, 2597, 543, 8546, 779, 8006, 585, 713, 3483, 269, 594, 1500, 2386, 602, 519, 11346, 779, 18165, 729, 1447, 538, 1871, 982, 519, 22194, 18165, 585, 519, 5078, 5542, 540, 519, 26039, 269, 594, 849, 2808, 519, 1327, 6362, 18165, 540, 519, 26039, 543, 519, 2324, 3432, 269, 594, 24458, 602, 782, 519, 6724, 941, 1369, 519, 3106, 7182, 269, 594, 5697, 519, 1852, 4559, 585, 519, 1614, 25686, 16546, 1031, 538, 519, 5547, 269, 3973, 267, 594, 6410, 593, 547, 7446, 519, 11741, 10591, 12427, 585, 519, 1374, 269, 1452, 3457, 849, 5129, 741, 851, 538, 519, 3106, 7271, 540, 519, 12902, 9505, 1562, 269, 594, 1305, 909, 519, 1852, 543, 5106, 3681, 585, 519, 1062, 269, 1452, 3769, 282, 16924, 268, 6016, 730, 8060, 267, 6552, 6417, 3681, 267, 543, 3106, 3937, 269, 634, 3334, 1031, 941, 14593, 16181, 267, 476, 272, 7302, 14128, 543, 476, 275, 7302, 14128, 4874, 1998, 550, 10141, 1562, 267, 1102, 571, 268, 1042, 8666, 3250, 338, 267, 5377, 3106, 6316, 267, 1883, 2824, 528, 267, 4232, 1807, 6467, 267, 1166, 4770, 1769, 267, 17513, 267, 3092, 563, 296, 1031, 519, 3595, 15033, 1570, 547, 1374, 519, 12902, 9505, 1562, 538, 1931, 547, 1118, 621, 3595, 16513, 269, 594, 8704, 606, 12747, 7271, 585, 3595, 4027, 1141, 519, 9505, 1562, 6806, 8850, 538, 519, 2013, 540, 3595, 269, 1280, 519, 8699, 543, 6617, 540, 1250, 6272, 267, 594, 5360, 1221, 609, 519, 29172, 268, 5325, 277, 4441, 269, 594, 2966, 519, 1225, 13935, 540, 891, 9505, 1562, 1210, 4411, 18202, 27647, 1242, 5374, 609, 513, 11098, 540, 476, 271, 269, 280, 6515, 269, 594, 2966, 519, 9043, 7475, 547, 3180, 519, 954, 6674, 539, 12632, 18172, 269, 1358, 19275, 741, 14694, 3350, 543, 13988, 519, 1225, 1555, 269, 594, 1031, 7646, 5374, 7285, 607, 2427, 10274, 609, 513, 5078, 2450, 543, 11098, 543, 7923, 873, 609, 1489, 7285, 269, 1358, 6462, 519, 2427, 10274, 543, 6854, 873, 17956, 269, 13689, 593, 519, 8700, 540, 519, 7450, 543, 7143, 4765, 1394, 519, 5377, 7841, 729, 3812, 689, 513, 6366, 3046, 540, 7646, 5374, 269, 594, 9112, 519, 16945, 22902, 856, 540, 513, 8546, 540, 7646, 5374, 543, 7229, 922, 5007, 8006, 543, 11098, 540, 519, 3774, 607, 829, 519, 9505, 614, 3498, 269, 898, 729, 796, 1606, 1440, 2426, 4470, 593, 519, 3498, 269, 594, 849, 2966, 513, 22902, 31455, 609, 513, 11098, 540, 476, 275, 6515, 269, 898, 729, 19034, 609, 3617, 19671, 3728, 22211, 543, 6378, 547, 519, 5374, 2497, 269, 594, 2966, 513, 26372, 4216, 1210, 27647, 1242, 5374, 609, 513, 11098, 540, 476, 271, 269, 280, 6515, 269, 594, 1031, 519, 18674, 31455, 609, 621, 607, 829, 519, 8700, 540, 519, 9505, 614, 563, 296, 1500, 2386, 602, 519, 9505, 1562, 941, 30788, 13234, 269, 1280, 713, 3483, 267, 594, 2838, 519, 6351, 540, 606, 5122, 11653, 269, 594, 1500, 2386, 602, 519, 4238, 540, 2048, 1575, 8730, 2048, 6658, 8730, 543, 2048, 17380, 685, 729, 5645, 856, 9985, 609, 519, 946, 540, 519, 10591, 5179, 543, 7903, 1532, 583, 2023, 7271, 269, 3973, 267, 594, 8045, 10081, 12641, 3151, 7271, 543, 9280, 519, 3595, 9505, 1562, 609, 513, 7271, 540, 519, 535, 639, 1043, 3095, 269, 589, 4166, 607, 476, 10619, 19592, 4181, 17622, 729, 2283, 539, 267, 594, 5950, 519, 5179, 20347, 543, 4847, 519, 8904, 547, 13956, 621, 269, 594, 1031, 513, 5595, 535, 639, 1043, 3095, 547, 19334, 519, 3595, 12902, 9505, 1562, 609, 519, 948, 540, 513, 3595, 15372, 5365, 269, 2201, 8391, 519, 5365, 267, 621, 5950, 519, 5179, 779, 20347, 269, 1677, 31272, 569, 519, 5179, 779, 20347, 267, 594, 1031, 513, 19268, 7485, 7271, 269, 594, 1031, 930, 3334, 585, 519, 4977, 2324, 540, 3595, 12902, 9505, 1562, 267, 891, 3769, 282, 1151, 31734, 609, 606, 10081, 9113, 564, 4183, 543, 535, 639, 1043, 3095, 267, 4874, 675, 628, 2033, 267, 681, 3201, 4778, 547, 5862 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3728, 18445, 547, 581, 2500, 538, 519, 522, 3939, 540, 713, 2783, 267, 5097, 538, 23494, 14968, 610, 17324, 1004, 269, 1306, 540, 1631, 267, 621, 779, 12117, 543, 2557, 540, 1967, 4667, 865, 6825, 602, 2143, 2090, 616, 2907, 538, 3356, 865, 607, 547, 1020, 513, 10551, 5650, 799, 1131, 4166, 1683, 2564, 4324, 547, 782, 31911, 269, 22067, 267, 1577, 721, 10110, 607, 1454, 1344, 607, 2009, 538, 6935, 547, 713, 12316, 10551, 2126, 267, 2523, 519, 1761, 4220, 3238, 563, 288, 19053, 6176, 2201, 9540, 2271, 32347, 1635, 10139, 595, 999, 1280, 12128, 454, 1692, 12128, 1772, 21912, 1677, 9540, 2271, 32347, 454, 21357, 1382, 2798, 2509, 513, 17386, 3095, 1063, 3987, 630, 6943, 476, 273, 264, 543, 519, 5580, 2460, 540, 519, 1507, 16892, 269, 898, 568, 267, 538, 1249, 267, 519, 5580, 851, 540, 519, 1507, 16892, 602, 11729, 519, 2101, 8167, 540, 7280, 1336, 1369, 519, 1062, 269, 769, 2665, 1141, 18558, 616, 711, 2111, 547, 3132, 2614, 610, 1022, 7378, 693, 782, 267, 7280, 14543, 547, 723, 1569, 547, 519, 2281, 7255, 630, 1721, 2504, 540, 1648, 1070, 543, 3079, 2253, 547, 18061, 909, 538, 519, 18072, 269, 901, 1826, 540, 7280, 13250, 538, 519, 1560, 5012, 547, 22612, 543, 1646, 540, 3987, 563, 22033, 6168, 22050, 878, 1635, 10139, 454, 22102, 16892, 610, 23441, 21271, 568, 513, 10551, 7154, 540, 2126, 602, 9247, 3322, 16756, 720, 540, 519, 7181, 865, 607, 547, 5512, 5786, 540, 4430, 1560, 2597, 269, 901, 4359, 5106, 568, 5645, 856, 676, 513, 536, 926, 6222, 18874, 945, 16881, 519, 5250, 540, 513, 1507, 533, 13224, 676, 3296, 532, 1055, 513, 1507, 10126, 540, 519, 15847, 3461, 779, 5580, 7181, 269, 634, 533, 13224, 2813, 568, 5402, 8678, 547, 519, 6967, 630, 23251, 531, 264, 6712, 540, 519, 1507, 16892, 269, 1306, 519, 6391, 20427, 695, 337, 3855, 519, 2450, 540, 519, 7181, 267, 519, 3461, 786, 581, 2111, 547, 8532, 1152, 513, 1507, 8167, 540, 1970, 3170, 267, 2635, 1426, 563, 288, 574, 2986, 9540, 2271, 32347, 1635, 10139, 454, 763, 1883, 30254, 540, 7900, 513, 23441, 21271, 568, 547, 5512, 519, 5906, 569, 17324, 15847, 1367, 547, 6336, 519, 4430, 2597, 269, 2290, 666, 2543, 713, 6391, 607, 513, 5363, 1907, 602, 2306, 621, 4443, 585, 519, 14968, 1268, 547, 1246, 513, 8902, 6197, 602, 267, 538, 2490, 267, 26558, 839, 519, 1184, 540, 8165, 3987, 269, 4340, 547, 519, 2817, 23941, 540, 2657, 267, 713, 12362, 6391, 568, 711, 5227, 1152, 585, 782, 31911, 269, 8307, 1346, 945, 723, 513, 16094, 1164, 19483, 1590, 10929, 971, 513, 2126, 563, 7212, 519, 1292, 2832, 568, 2597, 5786, 267, 1507, 16892, 21271, 3091, 930, 3606, 1072, 829, 802, 1932, 269, 4340, 547, 519, 1977, 9435, 5980, 267, 971, 1004, 849, 1796, 513, 2539, 1981, 540, 7092, 689, 1896, 2010, 540, 2860, 269, 3958, 267, 621, 1281, 3100, 547, 26763, 856, 519, 1966, 540, 2879, 1681, 543, 13119, 1932, 563, 29613, 531, 15443, 573, 919, 1280, 22050, 878, 1635, 10139, 454, 2026, 540, 1631, 267, 713, 1106, 540, 6391, 568, 9244, 5227, 585, 1346, 9038, 543, 8951, 945, 723, 513, 15866, 1164, 1560, 2527, 4994, 630, 289, 11085, 22534, 1657, 476, 2412, 1070, 21828, 10894, 2557, 630, 13696, 305, 264, 568, 1657, 476, 3374, 267, 543, 21276, 569, 7985, 689, 2901, 2295, 1644, 22074, 267, 1164, 1973, 2604, 610, 1826, 476, 273, 3987, 563, 1607, 2126, 1110, 1275, 568, 2808, 4986, 1447, 982, 513, 4154, 3044, 267, 2523, 538, 519, 2136, 2276, 540, 3013, 269, 22050, 878, 21271, 568, 540, 1100, 946, 585, 1346, 7231, 609, 7392, 476, 272, 3987, 22577, 269, 10765, 1239, 6811, 602, 693, 2547, 5216, 2600, 630, 3199, 8472, 540, 1004, 8995, 609, 1826, 476, 273, 3987, 723, 7357, 1044, 23174, 540, 3987, 1310, 18460, 713, 10551, 5650, 269, 769, 2110, 267, 891, 1004, 1100, 3476, 2877, 547, 1491, 7378, 15833, 610, 723, 5711, 4550, 26817, 12185, 5061, 563, 305, 26919, 10276, 25286, 1635, 10139, 26488, 454, 1103, 22748, 343, 10276, 25286, 6391, 630, 305, 25897, 1070, 26715, 30337, 618, 540, 519, 9667, 1062, 568, 5645, 856, 269, 901, 568, 267, 538, 1249, 267, 519, 1034, 11342, 1826, 540, 23441, 21271, 6391, 1851, 824, 2010, 269, 589, 2101, 6712, 540, 519, 7181, 267, 5918, 31829, 636, 267, 543, 5580, 16892, 568, 21271, 539, 267, 543, 519, 30218, 2460, 540, 519, 1507, 16892, 568, 7923, 609, 513, 14320, 1507, 6712, 540, 519, 7181, 269, 14755, 28142, 519, 2179, 540, 1426, 519, 3461, 666, 8532, 267, 22748, 343, 10276, 25286, 6391, 849, 6770, 827, 513, 1689, 538, 519, 10399, 1369, 519, 9667, 1062, 563, 305, 25897, 949, 849, 581, 5340, 3842, 519, 946, 540, 513, 22272, 541, 24005, 1310, 513, 1507, 21092, 1651, 1707, 814, 1044, 1500, 538, 519, 17737, 269, 769, 971, 2665, 267, 519, 6051, 1974, 568, 14320, 27571, 563, 305, 529, 802, 23105, 2060, 22050, 878, 1635, 10139, 454, 6524, 1818, 909, 707, 2247, 3823, 23441, 21271, 6391, 267, 519, 10457, 1590, 4628, 10146, 543, 6218, 519, 1761, 1072, 4220, 543, 8374, 602, 949, 8451, 1312, 267, 1282, 543, 1310, 713, 2126, 269, 26744, 569, 2550, 267, 607, 1134, 607, 1346, 609, 824, 3978, 1072, 2175, 267, 616, 693, 513, 3152, 1981, 269, 589, 28658, 1634, 607, 17696, 937, 12118, 267, 799, 4016, 547, 267, 513, 9864, 12900, 540, 519, 5761, 5160, 949, 6565, 1310, 519, 12032, 540, 519, 6391, 269, 1403, 2620, 7244, 5751, 616, 711, 5340, 1991, 547, 543, 1310, 519, 6391, 267, 713, 2783, 949, 2417, 1291, 547, 519, 1646, 540, 513, 5761, 3968, 1572, 16415, 563, 5194, 1981, 2938, 538, 17324, 1004, 568, 17422, 2377, 565, 1143, 267, 799, 10953, 1813, 267, 547, 561, 17690, 618, 540, 519, 1973, 8052, 4646, 538, 519, 7953, 547, 519, 9641, 269, 901, 949, 1256, 1267, 538, 13487, 8482, 610, 10355, 267, 2669, 269, 667, 18804, 6794, 568, 1776, 1072, 28658, 602, 568, 3006, 2938, 1310, 23441, 21271, 269, 769, 713, 6794, 267, 2589, 540, 13481, 267, 1086, 17508, 543, 13165, 616, 2938, 1813, 547, 22350, 4028, 11144, 540, 519, 1426, 9115, 998, 519, 16892, 563, 16908, 5403, 22050, 878, 1635, 10139, 454, 5629, 519, 6391, 814, 1044, 5340, 609, 1967, 267, 519, 3461, 2115, 547, 20617, 6895, 1018, 543, 875, 1454, 646, 610, 1352, 22655, 269, 1280, 513, 1906, 2395, 1310, 519, 6391, 267, 519, 3461, 786, 581, 6854, 593, 513, 2347, 5277, 2732, 799, 7930, 8441, 883, 10859, 1606, 13521, 3536, 269, 2991, 513, 12732, 540, 1614, 3275, 267, 519, 3461, 568, 538, 513, 1434, 2614, 2783, 547, 3548, 8912, 1426, 3688, 630, 24392, 519, 8167, 540, 7594, 2115, 547, 581, 26483, 1507, 1916, 1432, 1590, 581, 7074, 568, 602, 1312, 267, 31952, 11661, 610, 4028, 4189, 666, 1267, 538, 2589, 540, 1928, 543, 5924, 13481, 269, 634, 2732, 1544, 540, 971, 2550, 5097, 5161, 540, 3940, 3638, 3536, 602, 1590, 581, 1750, 14954, 7444, 543, 5265, 865, 607, 547, 2057, 1646, 540, 667, 18804, 6794, 563, 20124, 15894, 281, 5291, 2517, 4134, 16225, 332, 698, 8872, 2593, 270, 1001, 273, 270, 20657, 270, 3066, 1532, 2988, 817, 258, 269, 7838, 343, 335, 279, 305, 274, 325, 291, 340, 292, 0, 3607, 3163, 5174, 17977, 2657, 11588, 540, 17378, 8690, 454, 292, 1375, 8690, 568, 835, 540, 519, 4922, 10057, 10448, 1472, 519, 31248, 269, 898, 568, 4122, 1634, 607, 20780, 548, 610, 30080, 6199, 710, 269, 901, 2030, 568, 2016, 519, 2012, 4212, 8690, 1813, 547, 519, 1249, 602, 922, 3337, 20998, 519, 4212, 540, 519, 18911, 563, 292, 1375, 8690, 2030, 568, 5702, 1644, 547, 519, 16603, 543, 519, 15837, 269, 9603, 547, 1896, 1072, 2640, 2390, 519, 4616, 540, 519, 4212, 8690, 267, 621, 568, 4922, 10057, 10448, 1472, 519, 8608, 269, 17378, 8690, 568, 2808, 5065, 547, 5607, 563, 292, 1375, 8690, 568, 519, 5993, 543, 21064, 2030, 4470, 593, 519, 2249, 269, 13575, 267, 519, 1272, 4783, 540, 519, 4212, 8690, 16569, 585, 1447, 982, 835, 1032, 269, 901, 2030, 666, 8806, 7390, 519, 4463, 540, 811, 982, 476, 5611, 2578, 12281, 563, 763, 4829, 540, 519, 4212, 8690, 9775, 538, 519, 3337, 267, 2450, 543, 519, 2681, 269, 13575, 267, 519, 3337, 540, 519, 4212, 8690, 568, 24814, 547, 28608, 543, 519, 2681, 9775, 689, 5835, 547, 3039, 267, 13711, 267, 3092, 269, 8056, 1155, 4212, 8690, 568, 3039, 538, 2681, 543, 2242, 547, 9757, 2681, 2390, 15657, 563, 292, 1375, 8690, 9428, 1134, 538, 519, 22465, 1826, 540, 519, 2916, 269, 26478, 538, 519, 9341, 543, 31210, 3148, 11349, 873, 538, 519, 5162, 4005, 563, 292, 1375, 17852, 616, 1419, 9070, 730, 609, 519, 948, 540, 519, 5452, 269, 13575, 267, 5452, 616, 3254, 538, 519, 21543, 267, 799, 3340, 14021, 1416, 543, 3586, 5464, 269, 1879, 519, 2371, 7390, 7850, 2208, 789, 616, 4712, 547, 4483, 543, 616, 16924, 19132, 538, 519, 5078, 4025, 899, 602, 540, 519, 8751, 6737, 630, 272, 1916, 2467, 616, 519, 6592, 2665, 540, 519, 13027, 5114, 593, 519, 4616, 540, 519, 4212, 8690, 269, 2353, 25489, 538, 519, 1114, 851, 540, 519, 1560, 2523, 538, 519, 7181, 267, 2960, 4386, 593, 1896, 2043, 563, 763, 5354, 540, 519, 4212, 8690, 568, 1419, 10057, 1310, 2620, 31068, 269, 901, 20427, 4679, 519, 3170, 1543, 543, 6070, 538, 519, 4212, 8690, 3056, 547, 519, 8801, 1072, 2783, 563, 763, 3404, 531, 919, 1459, 538, 519, 4212, 8690, 1419, 3565, 547, 519, 6149, 5250, 538, 519, 8459, 563, 18814, 547, 519, 1019, 675, 6776, 2470, 540, 519, 4212, 8690, 267, 621, 568, 5227, 547, 8532, 4212, 8690, 538, 20208, 563, 7628, 519, 5969, 1184, 16243, 1869, 267, 2115, 547, 581, 1031, 3079, 540, 519, 3327, 5374, 1813, 547, 519, 1761, 5114, 563, 763, 4212, 8690, 568, 18932, 609, 519, 22556, 540, 519, 1898, 8770, 2838, 8389, 519, 1480, 1560, 269, 15907, 3670, 2600, 540, 519, 4212, 8690, 568, 16922, 540, 519, 19346, 540, 799, 3368, 540, 621, 568, 16922, 540, 519, 8192, 6775, 269, 898, 814, 1472, 835, 2600, 3940, 676, 4320, 543, 519, 30050, 2179, 540, 3170, 563, 763, 8324, 1459, 538, 519, 4212, 8690, 616, 12192, 918, 267, 661, 267, 595, 267, 543, 645, 1950, 6171, 6438, 645, 272, 267, 645, 273, 267, 645, 274, 267, 645, 276, 267, 645, 277, 543, 645, 280, 538, 8795, 2179, 563, 763, 6886, 1459, 538, 519, 4212, 8690, 616, 519, 25289, 267, 11635, 267, 13804, 10901, 267, 631, 22462, 3150, 267, 1912, 6664, 11501, 267, 8000, 9914, 543, 2098, 4532, 538, 519, 8795, 5834, 630, 273, 1916, 10890, 11588, 540, 519, 17378, 8690, 454, 272, 269, 13379, 13809, 454, 292, 1375, 8690, 568, 4105, 585, 9561, 519, 13311, 2597, 689, 519, 1560, 269, 9603, 547, 519, 30050, 2179, 540, 3170, 5916, 609, 519, 1164, 2179, 540, 519, 8192, 6775, 621, 666, 581, 6225, 547, 3489, 519, 2635, 2597, 630, 274, 1916, 763, 2597, 2530, 568, 18965, 676, 519, 6981, 540, 519, 1164, 6775, 2732, 602, 6971, 519, 26002, 540, 519, 1426, 1813, 547, 519, 29723, 1173, 545, 5305, 540, 7280, 538, 519, 1973, 563, 11917, 7295, 568, 6385, 2921, 519, 1106, 540, 519, 15435, 543, 519, 4212, 8690, 814, 519, 4390, 547, 8396, 971, 15435, 563, 1607, 568, 519, 2068, 6825, 676, 519, 10638, 540, 519, 4401, 538, 519, 3232, 2732, 269, 17378, 8690, 5627, 4401, 799, 666, 581, 6225, 538, 519, 8396, 540, 519, 17350, 538, 519, 1480, 1560, 630, 275, 1916, 10702, 267, 519, 4527, 540, 519, 31447, 3679, 20427, 4679, 519, 1072, 2640, 540, 519, 4616, 540, 519, 4212, 8690, 563, 274, 269, 774, 8557, 10819, 454, 292, 1375, 8690, 3568, 10250, 2179, 540, 7601, 267, 799, 568, 4105, 585, 519, 19993, 8647, 540, 519, 11178, 14189, 538, 519, 1480, 1560, 269, 634, 10638, 540, 519, 7601, 568, 1419, 2404, 609, 519, 25983, 1275, 540, 519, 11178, 14189, 630, 276, 1916, 13828, 519, 5409, 628, 21633, 543, 30847, 3123, 519, 8801, 1198, 593, 519, 1480, 1072, 269, 634, 1447, 21131, 11081, 519, 10894, 2557, 4611, 538, 519, 21782, 540, 519, 1560, 2597, 269, 2859, 21131, 540, 519, 11178, 9449, 3123, 4679, 538, 10894, 2557, 3056, 547, 519, 14869, 7771, 538, 3339, 2597, 563, 2005, 4992, 13300, 602, 4616, 540, 519, 4212, 8690, 666, 7413, 519, 1198, 689, 513, 26043, 269, 901, 568, 1813, 547, 519, 1249, 602, 519, 10638, 540, 519, 4401, 568, 3006, 2404, 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 ]
[ 972, 1945, 827, 713, 3510, 602, 594, 666, 581, 18507, 585, 888, 28830, 596, 1491, 585, 11292, 454, 5331, 9561, 930, 540, 519, 1919, 602, 596, 1491, 585, 11292, 267, 971, 607, 707, 1753, 267, 707, 2702, 547, 1294, 610, 5873, 267, 707, 2702, 547, 3802, 267, 610, 4376, 602, 4867, 3947, 596, 4313, 269, 3973, 4952, 3478, 1142, 540, 891, 1919, 1394, 267, 835, 676, 835, 267, 543, 2015, 875, 18507, 596, 1131, 581, 585, 1142, 543, 1169, 3364, 563, 2171, 16620, 938, 6381, 1282, 8090, 540, 11605, 543, 1491, 938, 25736, 585, 11292, 563, 310, 904, 547, 2769, 14696, 454, 268, 5269, 513, 14696, 4760, 543, 693, 519, 1439, 540, 519, 1554, 269, 3503, 538, 621, 827, 519, 2947, 1919, 610, 1004, 610, 3871, 602, 596, 666, 581, 18507, 585, 563, 268, 2561, 3285, 622, 1866, 593, 3232, 4493, 585, 1169, 1507, 1919, 2944, 676, 873, 563, 268, 14484, 532, 593, 519, 2318, 1919, 602, 5949, 547, 596, 563, 268, 29179, 7064, 543, 547, 9301, 519, 2182, 960, 540, 519, 6705, 267, 9240, 6203, 543, 782, 7255, 1268, 1818, 621, 2009, 519, 1426, 547, 2097, 547, 707, 3349, 543, 547, 4196, 707, 14000, 563, 16485, 1978, 1919, 547, 3054, 3232, 454, 268, 1548, 20109, 803, 2221, 888, 268, 5808, 610, 1018, 6273, 803, 2221, 888, 268, 1548, 1500, 803, 12837, 2221, 888, 268, 1548, 779, 519, 1655, 3364, 602, 5949, 2221, 888, 2171, 16620, 938, 6381, 1282, 8090, 540, 11605, 543, 1491, 938, 25736, 585, 11292, 269, 10435, 513, 1592, 540, 4128, 649, 941, 18507, 585, 267, 2337, 721, 547, 5660, 875, 26752, 649, 941, 543, 22348, 713, 593, 3232, 4493, 2337, 721, 547, 1832, 2258, 18356, 693, 15922, 563, 2252, 649, 2259, 10182, 540, 14696, 267, 938, 1272, 21810, 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 ]
[ 0, 1103, 519, 1576, 540, 10654, 532, 681, 13704, 267, 7128, 10492, 1476, 4593, 730, 543, 22646, 1010, 1591, 6049, 269, 2201, 621, 789, 1336, 2963, 11021, 1010, 9525, 538, 513, 5397, 8386, 15246, 563, 16031, 269, 681, 13704, 729, 9901, 609, 13986, 12638, 563, 8601, 782, 602, 267, 519, 10966, 7040, 12199, 602, 519, 7128, 26991, 681, 13704, 779, 19549, 14821, 2924, 676, 10478, 519, 1591, 6049, 538, 1010, 17927, 2390, 1010, 10654, 269, 15845, 540, 13986, 12638, 729, 16934, 585, 3668, 540, 513, 1697, 3406, 15549, 563, 3963, 729, 513, 15549, 2877, 267, 2016, 602, 7128, 10492, 616, 9985, 13886, 547, 4983, 1034, 2168, 3615, 602, 616, 1336, 593, 606, 1367, 1373, 1876, 2685, 18486, 888, 23961, 1206, 2601, 539, 602, 7429, 1034, 2168, 3615, 267, 519, 3059, 9115, 540, 513, 1591, 6049, 9444, 21279, 519, 2168, 3106, 540, 7128, 6862, 1981, 29000, 10654, 4315, 538, 606, 9101, 6862, 21279, 519, 11091, 540, 2963, 269, 634, 1533, 814, 513, 1454, 14758, 1719, 538, 10647, 606, 7525, 3406, 269, 1656, 950, 13326, 1533, 4690, 1996, 519, 1367, 779, 1719, 538, 7834, 267, 1591, 11436, 616, 1114, 538, 602, 789, 968, 2897, 5318, 9424, 540, 2123, 1344, 12777, 538, 519, 3946, 540, 2043, 3034, 23961, 1206, 6170, 513, 2603, 540, 942, 10771, 602, 3803, 1448, 563, 2108, 6524, 1591, 11436, 267, 513, 3406, 540, 513, 1268, 729, 3908, 676, 2168, 19178, 543, 22157, 607, 513, 2489, 2339, 547, 13822, 1152, 513, 7522, 31593, 593, 7834, 269, 4107, 1004, 3112, 561, 1872, 1472, 1169, 4062, 540, 13875, 789, 723, 4607, 585, 519, 2250, 1896, 3275, 267, 1169, 4605, 789, 723, 3144, 267, 610, 1169, 1433, 610, 2376, 789, 723, 1224, 1765, 24335, 1131, 789, 723, 1022, 2601, 547, 3801, 547, 798, 865, 2223, 21662, 6045, 269, 968, 3086, 519, 1268, 945, 568, 711, 8876, 513, 1591, 6049, 267, 609, 782, 621, 3568, 267, 568, 519, 9868, 3034, 3891, 17019, 1010, 15194, 1131, 20818, 513, 11411, 593, 7128, 912, 2171, 3112, 20912, 602, 938, 3375, 2221, 786, 723, 606, 1764, 593, 519, 2702, 540, 1876, 11268, 547, 8396, 6760, 269, 8426, 11436, 723, 1831, 1271, 2645, 538, 14123, 11558, 543, 2792, 1851, 2818, 540, 7803, 16904, 267, 543, 666, 1683, 3407, 1651, 3234, 3215, 1344, 827, 5906, 20737, 563, 3719, 646, 2601, 539, 602, 1256, 513, 1268, 779, 1753, 267, 1141, 4892, 12926, 10150, 519, 5207, 4110, 540, 19549, 14821, 4027, 267, 1522, 2270, 855, 513, 6824, 540, 519, 4357, 3877, 513, 1591, 6049, 1131, 1700, 1700, 663, 602, 7863, 7834, 814, 3790, 563, 2108, 28053, 11436, 616, 711, 1175, 1776, 13418, 2223, 21662, 5206, 269, 968, 4415, 782, 789, 2270, 543, 782, 789, 949, 7866, 267, 789, 3180, 585, 1082, 4892, 2048, 1492, 3051, 9313, 540, 1272, 10200, 2334, 2029, 1631, 2636, 606, 1367, 547, 4163, 971, 1344, 538, 1010, 1688, 1281, 711, 1118, 519, 1344, 1022, 1447, 17709, 540, 519, 4027, 585, 799, 519, 5853, 619, 10692, 269, 3776, 2626, 547, 519, 2243, 540, 1018, 7128, 1590, 798, 1354, 10478, 513, 1591, 6049, 25868, 10071, 547, 606, 10654, 568, 9935, 2241, 1765, 1205, 513, 15549, 3034, 30706, 2094, 267, 513, 15549, 814, 1044, 2838, 547, 3406, 519, 1591, 11436, 540, 1004, 945, 616, 1373, 18486, 267, 1256, 585, 519, 1034, 3978, 10963, 269, 1656, 602, 3044, 12651, 513, 2243, 281, 0, 1278, 1913, 585, 22300, 454, 13052, 21283, 4041, 590, 7728, 27301, 2464, 20978, 5990, 25723, 289, 454, 28074, 3606, 2963, 1223, 11593, 581, 2016, 547, 9414, 713, 22300, 5169, 563, 1103, 519, 5755, 3800, 616, 1336, 519, 544, 17026, 1221, 3788, 540, 891, 22300, 598, 28875, 563, 288, 7156, 540, 519, 1646, 540, 519, 6575, 540, 6189, 267, 17001, 267, 543, 7206, 689, 22300, 5712, 547, 2487, 2053, 563, 9213, 267, 607, 538, 22300, 2053, 267, 519, 2551, 540, 713, 1858, 568, 13671, 2059, 519, 5757, 563, 763, 2963, 609, 2543, 547, 22300, 10255, 568, 1454, 811, 2347, 563, 5445, 616, 855, 606, 16315, 267, 711, 513, 6169, 267, 540, 22300, 18813, 640, 563, 303, 792, 3149, 941, 519, 1101, 21889, 4362, 543, 1031, 607, 610, 23788, 538, 22300, 6502, 563, 6781, 913, 519, 13675, 540, 519, 1309, 10722, 517, 519, 20209, 1878, 540, 22300, 1272, 2253, 563, 288, 3095, 568, 3976, 13859, 799, 11438, 1394, 519, 1686, 547, 519, 1918, 2065, 543, 29631, 5712, 267, 538, 713, 2013, 267, 22300, 563, 5141, 2426, 684, 5112, 8498, 267, 986, 3387, 1782, 22290, 519, 5757, 1849, 684, 267, 814, 513, 1134, 3146, 560, 1819, 5939, 267, 1166, 1678, 539, 676, 513, 22300, 6084, 15252, 563, 27516, 22300, 5442, 589, 590, 7728, 9970, 454, 18794, 938, 2038, 512, 22246, 256, 6423, 875, 707, 4845, 5654, 609, 1114, 19655, 269, 0, 16675, 6807, 267, 14662, 630, 16703, 5183, 7641, 994, 763, 5455, 12248, 787, 3778, 7467, 538, 5682, 6807, 568, 8600, 1896, 15225, 538, 11812, 540, 4563, 3778, 13600, 2429, 5988, 2676, 10501, 1807, 540, 26888, 26701, 2088, 24125, 3724, 1767, 593, 3465, 6342, 4303, 267, 5988, 476, 1704, 689, 476, 274, 268, 277, 6751, 789, 786, 3984, 606, 2680, 547, 29428, 519, 476, 2004, 628, 7788, 15208, 540, 519, 5610, 540, 3506, 1369, 519, 5682, 6807, 6019, 3427, 10588, 563, 295, 1941, 3724, 1767, 519, 2680, 786, 4183, 5711, 12583, 543, 2984, 5143, 676, 5449, 1053, 543, 741, 1920, 2818, 945, 13984, 5682, 6807, 6019, 3506, 1282, 519, 476, 3422, 271, 268, 3583, 338, 563, 2467, 786, 849, 581, 1153, 543, 8664, 8357, 8494, 807, 593, 4159, 607, 1134, 607, 11147, 543, 513, 3381, 4730, 538, 519, 2912, 3218, 1756, 563, 8448, 15225, 593, 4159, 1519, 11147, 540, 513, 2693, 2619, 540, 519, 11895, 16456, 543, 2984, 689, 1346, 3238, 538, 519, 3540, 2924, 3350, 563, 2690, 811, 593, 519, 9754, 3643, 741, 3896, 5291, 2517, 4178, 269, 1575, 12248, 787, 20931, 3820, 270, 0, 763, 1325, 1889, 568, 513, 476, 6795, 10275, 559, 2210, 516, 630, 4391, 11465, 264, 1279, 5757, 538, 3345, 10910, 710, 8862, 652, 13921, 807, 267, 5125, 269, 898, 568, 513, 2451, 29815, 776, 540, 519, 700, 2089, 324, 267, 883, 799, 621, 8928, 2282, 22087, 8538, 1941, 269, 634, 1325, 1889, 11225, 519, 1325, 1889, 9503, 543, 8928, 998, 519, 10034, 645, 6686, 1066, 267, 16907, 7770, 543, 22087, 8538, 1941, 563, 27242, 15038, 1475, 22144, 22430, 544, 630, 272, 267, 6344, 10264, 10245, 347, 21920, 1475, 6795, 269, 275, 5998, 630, 3607, 269, 280, 11465, 264, 11406, 347, 15368, 514, 2450, 1475, 278, 8287, 5998, 273, 630, 27768, 13483, 11465, 264, 11406, 347, 3682, 326, 1833, 1475, 299, 2089, 324, 20681, 10910, 710, 20681, 3345, 7256, 2008, 14503, 797, 540, 476, 3422, 276, 31171, 454, 1103, 5147, 476, 3422, 276, 513, 14042, 6360, 7018, 267, 799, 2968, 851, 540, 6237, 1686, 607, 513, 2899, 2987, 8584, 3620, 4348, 26188, 14700, 543, 568, 15422, 676, 17137, 607, 519, 834, 3891, 514, 5341, 338, 4148, 583, 257, 630, 30875, 781, 4303, 24627, 1040, 2991, 5230, 11811, 338, 689, 5147, 476, 1428, 998, 547, 476, 1704, 630, 3467, 982, 476, 13670, 561, 8276, 273, 1070, 3490, 906, 941, 27876, 269, 769, 519, 8498, 540, 654, 1168, 1564, 7921, 513, 8115, 25540, 267, 606, 8136, 1094, 3899, 1770, 1185, 547, 581, 4547, 538, 585, 9568, 8323, 269, 6790, 1115, 5828, 883, 5757, 15135, 267, 16749, 543, 1668, 6808, 1185, 547, 581, 11074, 267, 476, 1626, 1004, 5747, 269, 1306, 513, 12343, 540, 519, 6360, 267, 799, 849, 3576, 538, 519, 29815, 2456, 540, 519, 1325, 1889, 543, 519, 700, 2089, 324, 5757, 3294, 267, 519, 834, 310, 817, 13996, 7171, 5136, 699, 700, 2089, 324, 257, 630, 4580, 585, 16935, 2359, 540, 519, 5580, 700, 2089, 324, 5757, 264, 729, 8547, 267, 835, 540, 4171, 6663, 568, 547, 2061, 610, 11574, 1022, 3441, 602, 949, 581, 3361, 676, 2417, 17160, 5631, 676, 1259, 540, 2679, 30969, 30520, 563, 14503, 797, 540, 476, 1220, 278, 31171, 454, 4002, 4864, 476, 2420, 267, 476, 1220, 278, 519, 1325, 1889, 5757, 16802, 922, 8492, 1472, 519, 4884, 540, 645, 6686, 1066, 267, 1310, 5230, 11811, 338, 540, 930, 476, 3583, 561, 8276, 273, 538, 519, 1576, 540, 835, 3781, 269, 769, 519, 8498, 540, 1284, 710, 519, 6360, 1377, 25295, 602, 540, 476, 3422, 276, 269, 4634, 1498, 519, 6360, 729, 1447, 27789, 538, 1198, 982, 519, 834, 3891, 514, 5341, 338, 4148, 583, 2580, 3506, 538, 645, 6686, 1066, 1185, 547, 9096, 2038, 543, 6494, 519, 10453, 1753, 267, 930, 10754, 2968, 791, 817, 762, 269, 476, 13136, 2199, 23001, 16146, 6462, 676, 6595, 3210, 4559, 540, 8946, 310, 267, 667, 28384, 294, 543, 19010, 298, 941, 18611, 547, 2312, 856, 27876, 3490, 906, 610, 547, 2149, 8075, 538, 1970, 12406, 676, 30528, 5070, 321, 4711, 563, 268, 10281, 5766, 1429, 545, 30615, 540, 519, 715, 305, 310, 3557, 8433, 585, 7186, 267, 519, 5113, 543, 19901, 10466, 630, 294, 1168, 7564, 1087, 13996, 2763, 747, 23036, 964, 8092, 525, 600, 5052, 24166, 715, 4405, 267, 772, 332, 342, 3881, 3768, 7638, 3630, 1075, 1667, 577, 583, 345, 715, 305, 310, 476, 1001, 271, 264, 630, 343, 3149, 282, 476, 275, 269, 6858, 15406, 994, 268, 834, 3891, 514, 5341, 338, 4148, 583, 257, 593, 4436, 9504, 1496, 18431, 27366, 593, 476, 1001, 279, 268, 5881, 268, 2420, 2639, 268, 14216, 1975, 20672, 601, 689, 476, 3422, 276, 268, 5881, 268, 2764, 630, 23389, 1152, 282, 2063, 27366, 593, 476, 1001, 279, 268, 5881, 268, 2420, 994, 268, 901, 1297, 2882, 711, 1152, 519, 25096, 538, 1325, 1889, 267, 1325, 1084, 879, 543, 700, 2089, 324, 1858, 267, 855, 782, 9601, 538, 519, 9568, 1858, 267, 799, 6905, 607, 2484, 607, 774, 6686, 2590, 523, 267, 590, 778, 11420, 268, 2304, 327, 5306, 267, 543, 29017, 3415, 269, 6423, 834, 3891, 514, 5341, 338, 4148, 583, 257, 593, 4436, 9504, 282, 32647, 269, 834, 3891, 514, 5341, 338, 4148, 583, 257, 593, 519, 19534, 540, 4436, 16661, 6796, 667, 310, 291, 630, 21671, 538, 4436, 264, 1496, 18431, 27366, 593, 476, 1001, 279, 268, 5881, 268, 2420, 316, 634, 2669, 17167, 538, 519, 3148, 568, 2016, 607, 476, 1556, 593, 4436, 9504, 538, 519, 2376, 834, 310, 817, 13996, 7171, 5136, 699, 700, 2089, 324, 4840, 268, 834, 32056, 654, 817, 13996, 7171, 5136, 699, 700, 2089, 324, 630, 310, 5357, 264, 530, 584, 1372, 476, 3192, 272, 13153, 3954, 2481, 531, 3394, 918, 516, 17470, 645, 6686, 1066, 267, 22087, 8538, 1941, 3768, 700, 2089, 26684, 339, 620, 338, 1234, 752, 5406, 14193, 325, 5884, 26081, 5341, 338, 4148, 583, 12154, 476, 1626, 11607, 1704, 269, 7325, 328, 476, 3422, 276, 575, 1122, 337, 6686, 526, 564, 1701, 630, 4958, 7205, 689, 5291, 2517, 4178, 9884, 565, 5991, 337, 342, 19709, 270, 476, 1001, 279, 268, 5881, 268, 2420, 994, 268, 1294, 5037, 1657, 610, 7127, 834, 3891, 514, 5341, 338, 4148, 583, 257, 593, 4436, 9504, 0, 290, 27641, 5675, 476, 272, 281, 13317, 543, 9540, 16707, 910, 5292, 269, 476, 272, 676, 623, 1122, 30510, 269, 6435, 1053, 1451, 543, 2259, 1603, 519, 9904, 1210, 25777, 5022, 609, 713, 7792, 4976, 10023, 1312, 513, 2757, 26627, 27664, 543, 27608, 269, 2296, 22843, 538, 595, 27641, 5675, 16592, 2013, 568, 2854, 676, 8108, 513, 853, 6593, 269, 1809, 891, 853, 6593, 3085, 1405, 6443, 609, 519, 2539, 2013, 563, 296, 4312, 2097, 2066, 1079, 8747, 540, 1603, 513, 3854, 717, 543, 513, 3854, 808, 538, 25777, 269, 594, 3112, 1174, 799, 835, 568, 2953, 1317, 9504, 2982, 602, 519, 3854, 717, 689, 1250, 1837, 568, 267, 538, 1249, 267, 519, 3854, 808, 689, 9504, 543, 13030, 268, 951, 320, 907, 26681, 25777, 3854, 4484, 568, 2369, 529, 762, 547, 803, 607, 513, 4484, 540, 519, 2296, 9904, 269, 594, 1131, 711, 563, 21652, 8586, 585, 3214, 269, 5131, 4245, 547, 4001, 3214, 543, 4079, 875, 547, 2328, 26897, 267, 2338, 267, 5220, 267, 23573, 1153, 267, 30920, 267, 543, 1256, 741, 2012, 256, 20308, 2979, 971, 607, 1840, 267, 12408, 267, 8691, 267, 543, 6498, 269, 5053, 3211, 563, 8794, 606, 813, 547, 2328, 891, 5022, 568, 4443, 2094, 835, 786, 1152, 1826, 3625, 5022, 538, 519, 13691, 267, 543, 519, 25777, 5022, 786, 8850, 2097, 856, 593, 519, 5496, 269, 769, 930, 8924, 971, 607, 9786, 2262, 267, 835, 666, 2328, 606, 3003, 2408, 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 ]
[ 276, 20853, 540, 645, 658, 779, 556, 26047, 1039, 476, 273, 1700, 274, 20853, 540, 1449, 3070, 543, 3636, 9900, 538, 513, 3905, 1216, 8602, 585, 476, 273, 2381, 2373, 1547, 634, 5250, 540, 513, 17824, 880, 3039, 1587, 568, 22566, 540, 20008, 4680, 269, 1261, 343, 4680, 3622, 2746, 547, 1106, 544, 28854, 6960, 2472, 563, 278, 264, 594, 617, 710, 4530, 912, 11754, 476, 273, 12772, 540, 22752, 3070, 547, 827, 476, 273, 20853, 540, 519, 19346, 5627, 1449, 3070, 269, 589, 4544, 3109, 7990, 568, 4767, 799, 568, 22566, 540, 4527, 540, 30713, 30828, 563, 279, 264, 14642, 1794, 821, 4530, 912, 2414, 476, 271, 269, 276, 575, 540, 4307, 2643, 5139, 23432, 710, 8652, 18608, 728, 1039, 476, 271, 269, 272, 6121, 540, 9770, 21449, 622, 543, 4557, 12772, 540, 30961, 1035, 2045, 3679, 269, 5410, 476, 276, 20853, 540, 1449, 3070, 547, 713, 7848, 543, 3002, 896, 14495, 1216, 8602, 585, 827, 3368, 606, 5662, 269, 15346, 519, 3070, 7444, 543, 4983, 519, 14848, 896, 513, 17209, 269, 10261, 548, 11057, 5835, 15259, 1794, 821, 14848, 786, 581, 4767, 585, 7280, 543, 535, 28229, 6466, 14915, 657, 1794, 821, 2982, 25487, 8032, 543, 28915, 846, 7472, 8768, 11057, 14848, 563, 273, 268, 274, 12772, 540, 12498, 5991, 7469, 628, 565, 3070, 568, 3773, 547, 476, 273, 6447, 540, 519, 1449, 3070, 269, 15020, 9900, 3773, 476, 272, 6447, 540, 19270, 269, 670, 273, 12569, 275, 2059, 519, 2427, 540, 519, 1449, 8546, 563, 288, 2620, 642, 14489, 32442, 568, 3812, 693, 519, 22882, 540, 1079, 6106, 563, 15430, 775, 540, 11950, 563, 1607, 568, 1813, 547, 519, 5250, 540, 606, 18633, 28198, 1587, 540, 12498, 5991, 7469, 628, 565, 609, 9663, 325, 1116, 630, 335, 22004, 676, 519, 18024, 540, 519, 19346, 994, 275, 268, 276, 12772, 540, 22752, 3070, 568, 3773, 547, 476, 272, 6447, 540, 519, 1449, 3070, 543, 6404, 519, 9115, 9900, 454, 23325, 7990, 568, 4767, 454, 15430, 775, 540, 30713, 21839, 728, 454, 296, 617, 710, 3029, 25549, 23455, 1632, 23838, 609, 30713, 30828, 454, 10666, 476, 273, 16720, 540, 4006, 3070, 568, 3773, 547, 827, 476, 273, 16720, 540, 3171, 327, 1782, 779, 3070, 3144, 538, 513, 1449, 2389, 4209, 269, 898, 568, 1287, 23017, 585, 476, 1015, 1295, 454, 288, 2699, 10511, 10028, 568, 4646, 454, 15430, 775, 540, 4227, 4006, 454, 1607, 568, 1813, 547, 519, 5250, 540, 7484, 9317, 12547, 676, 519, 4227, 2962, 540, 519, 4006, 563, 2414, 476, 276, 16720, 540, 31409, 781, 3070, 267, 1039, 476, 272, 6447, 540, 519, 1449, 3070, 543, 21199, 1142, 8546, 269, 9255, 519, 8546, 538, 513, 14495, 1216, 8602, 543, 3002, 585, 476, 274, 3764, 269, 17179, 519, 13740, 689, 519, 3002, 543, 1450, 873, 547, 3579, 563, 13528, 566, 540, 513, 3039, 267, 2699, 267, 610, 5835, 10511, 10028, 454, 15430, 775, 540, 4227, 14836, 454, 2252, 519, 5485, 10420, 728, 568, 513, 4227, 4006, 621, 786, 2569, 21019, 1496, 290, 340, 316, 630, 1556, 264, 12274, 547, 19923, 263, 272, 264, 12547, 267, 513, 2699, 10511, 10028, 454, 2414, 476, 273, 16720, 540, 519, 3070, 547, 581, 7318, 3773, 476, 273, 16720, 540, 28448, 5423, 4446, 325, 334, 539, 781, 556, 26047, 269, 9255, 1449, 13740, 883, 513, 14495, 1216, 8602, 543, 3002, 585, 476, 274, 3764, 269, 14190, 547, 3579, 563, 288, 2620, 4544, 7990, 568, 4646, 609, 513, 2699, 533, 696, 269, 23928, 1524, 693, 519, 5377, 610, 5011, 540, 519, 1449, 8546, 563, 15430, 775, 540, 4227, 14836, 1496, 1952, 30970, 540, 513, 2699, 533, 696, 607, 513, 6094, 4670, 693, 519, 5377, 540, 519, 1449, 8546, 1369, 476, 274, 268, 276, 1295, 269, 568, 22566, 540, 4227, 1395, 334, 1606, 21839, 728, 269, 1403, 519, 533, 696, 5250, 3217, 811, 942, 1287, 621, 568, 513, 4227, 771, 21839, 728, 454, 2252, 519, 5485, 10420, 728, 568, 513, 4227, 4006, 621, 786, 2569, 19923, 630, 1556, 264, 12274, 547, 19923, 263, 272, 264, 12547, 454, 2414, 476, 274, 6447, 540, 540, 590, 7942, 9774, 4752, 779, 556, 26047, 267, 1039, 476, 272, 6447, 540, 519, 1449, 3070, 267, 14974, 538, 1216, 8602, 585, 476, 273, 3764, 454, 288, 22269, 2699, 11954, 10511, 10028, 1369, 476, 276, 8792, 568, 5833, 454, 288, 25861, 2699, 7990, 3812, 454, 15430, 775, 540, 11337, 4680, 454, 314, 306, 1075, 13427, 3947, 513, 2318, 27520, 28411, 846, 1449, 23378, 15430, 775, 540, 620, 323, 4680, 454, 2691, 2746, 539, 609, 590, 7942, 9774, 4752, 556, 26047, 267, 11337, 4680, 2746, 1369, 476, 273, 3764, 8108, 513, 22269, 2699, 28198, 1587, 454, 288, 671, 641, 550, 4680, 2746, 7444, 8108, 519, 25549, 28198, 1587, 454, 11754, 476, 274, 6447, 540, 645, 658, 779, 556, 26047, 547, 476, 271, 269, 273, 6447, 540, 519, 1449, 3070, 269, 3002, 519, 3070, 538, 513, 14495, 1216, 8602, 585, 476, 273, 3764, 454, 288, 4544, 25984, 1587, 454, 288, 544, 28854, 6960, 547, 12457, 1587, 454, 15430, 775, 540, 20008, 4680, 454, 15430, 775, 540, 15279, 4680, 2676, 763, 9663, 325, 584, 1023, 4646, 7472, 28198, 2472, 609, 1808, 7990, 454, 10521, 1079, 16720, 540, 519, 1449, 3070, 267, 3773, 476, 274, 6447, 540, 4307, 2643, 3289, 23432, 710, 8652, 18608, 728, 3070, 543, 3575, 269, 5901, 538, 513, 14495, 1216, 8602, 585, 476, 1789, 332, 1206, 269, 15346, 519, 3070, 543, 7747, 519, 14848, 896, 17209, 563, 13528, 566, 540, 4190, 5835, 14848, 540, 15259, 1794, 821, 454, 23921, 548, 8032, 14848, 454, 26422, 17810, 8032, 14848, 454, 15430, 775, 540, 26178, 454, 15430, 775, 540, 28915, 846, 454, 305, 14445, 532, 14836, 3029, 12063, 1794, 821, 593, 8156, 609, 4307, 2643, 5139, 23432, 710, 454, 11795, 3720, 7402, 11323, 538, 513, 7464, 12524, 912, 1103, 606, 4890, 8047, 4259, 267, 972, 616, 1978, 1271, 3268, 602, 616, 711, 8209, 10858, 538, 513, 5691, 2978, 912, 29490, 5957, 2978, 10359, 543, 17309, 950, 596, 616, 538, 519, 2978, 269, 1879, 596, 4283, 519, 2978, 267, 1873, 3558, 593, 519, 9688, 10178, 543, 1118, 2386, 602, 782, 519, 556, 698, 757, 2838, 585, 519, 4603, 616, 2139, 269, 1403, 621, 568, 711, 2139, 267, 5965, 519, 556, 698, 757, 1210, 519, 3334, 585, 556, 26047, 7041, 563, 22512, 1058, 581, 3144, 1247, 7829, 1309, 755, 545, 7408, 899, 19270, 269, 590, 17139, 584, 545, 3679, 1496, 295, 273, 12569, 275, 3910, 6491, 878, 3679, 1496, 295, 17472, 274, 3910, 31527, 18608, 545, 3679, 1496, 295, 5141, 4940, 1452, 7408, 1058, 581, 8118, 543, 1031, 538, 674, 9331, 292, 9816, 7495, 1152, 269, 6452, 1211, 531, 21383, 540, 891, 7408, 786, 2014, 4049, 17236, 543, 21422, 269, 25169, 519, 838, 2683, 1858, 609, 4411, 1216, 543, 1217, 519, 2978, 13930, 5612, 563, 2691, 31406, 28355, 568, 5423, 267, 1118, 2386, 602, 621, 568, 17411, 609, 1416, 607, 519, 9770, 28355, 3070, 568, 1309, 755, 545, 538, 2470, 563, 29490, 2638, 519, 1216, 1377, 538, 519, 1216, 8602, 543, 952, 621, 568, 909, 547, 519, 1377, 1496, 333, 22022, 3368, 519, 4320, 3910, 6467, 593, 519, 1216, 8602, 543, 4188, 547, 519, 2838, 2837, 269, 6875, 1416, 1247, 1210, 519, 1216, 8602, 585, 519, 14495, 1900, 538, 519, 4603, 269, 15579, 519, 1449, 8546, 1210, 513, 1449, 8546, 23649, 563, 2467, 1058, 581, 513, 8167, 1063, 519, 556, 698, 757, 3773, 543, 519, 1449, 3070, 547, 3489, 1434, 1267, 1369, 519, 942, 5018, 269, 634, 5323, 13827, 1031, 1058, 711, 581, 6404, 1063, 519, 556, 698, 757, 267, 2141, 946, 1367, 5323, 13827, 585, 1142, 556, 26047, 563, 763, 2681, 4646, 786, 4096, 2390, 519, 2298, 540, 519, 556, 698, 757, 269, 1924, 1416, 1058, 581, 3144, 1247, 8600, 519, 556, 698, 757, 269, 1403, 20749, 2139, 556, 698, 757, 616, 1031, 26924, 602, 621, 568, 711, 6854, 1930, 585, 1279, 942, 563, 27662, 519, 1449, 13740, 543, 4837, 3649, 637, 609, 12853, 543, 30341, 1216, 269, 1234, 5115, 519, 556, 26047, 14569, 2899, 519, 4603, 568, 6192, 269, 634, 1216, 8602, 543, 519, 9688, 10178, 1058, 581, 23564, 1055, 4586, 15648, 7711, 476, 1001, 274, 7201, 519, 715, 10933, 23559, 11036, 540, 631, 16281, 291, 454, 303, 10062, 676, 2549, 761, 320, 14044, 6997, 20985, 25957, 1496, 7638, 476, 271, 269, 273, 269, 10602, 9948, 0, 288, 2582, 9594, 5444, 267, 22804, 312, 7498, 3674, 519, 7915, 24572, 540, 3023, 563, 1103, 1249, 621, 568, 17252, 3633, 3633, 952, 835, 568, 547, 581, 4535, 5256, 267, 585, 972, 568, 1100, 6697, 30124, 8108, 5444, 563, 2791, 1294, 267, 3025, 6238, 856, 4775, 563, 314, 16129, 15328, 21573, 18225, 316, 11109, 1079, 28486, 568, 4105, 585, 4638, 12093, 269, 901, 949, 3100, 606, 6654, 1249, 547, 1034, 540, 721, 267, 855, 621, 779, 711, 971, 606, 6654, 1249, 585, 27563, 269, 4595, 12423, 519, 2048, 339, 3419, 3455, 5444, 685, 811, 982, 476, 736, 1296, 3516, 602, 7140, 513, 3384, 1480, 21872, 883, 513, 5256, 267, 972, 779, 1044, 513, 3126, 540, 8906, 267, 1142, 811, 9670, 982, 519, 2063, 267, 547, 1397, 602, 519, 6090, 602, 3313, 3023, 4268, 3552, 569, 2066, 519, 3529, 540, 1272, 543, 11457, 3533, 563, 1103, 3425, 267, 3023, 568, 5462, 676, 519, 4527, 540, 513, 2582, 9594, 5444, 267, 1572, 22804, 312, 267, 1336, 593, 519, 11527, 5737, 962, 15694, 538, 9038, 630, 15367, 723, 835, 2473, 543, 835, 962, 15694, 1040, 589, 2582, 9570, 540, 519, 22804, 312, 5444, 12153, 513, 22107, 1228, 540, 2621, 602, 1267, 538, 519, 21872, 3384, 1449, 525, 563, 2467, 568, 1100, 6697, 9065, 776, 268, 14127, 5444, 269, 1717, 267, 950, 519, 22804, 312, 5444, 568, 711, 1459, 267, 607, 609, 8951, 945, 4865, 1079, 2473, 15954, 267, 519, 21872, 10953, 30124, 543, 519, 1964, 540, 519, 4775, 10285, 1062, 563, 10521, 2516, 540, 3173, 4362, 22804, 312, 10446, 538, 476, 1960, 271, 269, 3973, 267, 950, 789, 6743, 693, 8983, 267, 789, 1336, 513, 1360, 2147, 9594, 5444, 269, 1280, 513, 1247, 267, 621, 729, 3592, 513, 8483, 821, 3932, 602, 972, 729, 513, 2582, 5444, 602, 15427, 519, 3604, 1063, 519, 28486, 538, 1034, 267, 952, 711, 782, 267, 30900, 269, 1496, 5649, 2859, 2639, 8601, 713, 1376, 1782, 1249, 602, 3025, 6238, 856, 4775, 543, 602, 6090, 616, 2877, 547, 581, 3773, 547, 1118, 9038, 888, 293, 655, 2297, 616, 1869, 2938, 607, 1447, 563, 4517, 676, 2048, 1652, 685, 594, 1611, 607, 519, 2040, 540, 2694, 7498, 2252, 711, 1447, 563, 314, 16129, 11660, 1977, 316, 3776, 4858, 1231, 6423, 9093, 607, 19940, 543, 6468, 607, 20668, 454, 288, 19214, 693, 519, 12139, 24646, 538, 1022, 2706, 21466, 2638, 719, 1899, 786, 2995, 596, 602, 2021, 616, 4749, 519, 1445, 540, 4638, 1843, 2305, 269, 3767, 267, 1007, 1382, 9060, 602, 519, 2634, 2965, 3157, 2592, 540, 2021, 8335, 982, 1346, 540, 2367, 267, 7700, 547, 713, 7678, 563, 18131, 616, 811, 2693, 547, 581, 13603, 6306, 676, 519, 2634, 543, 2938, 607, 2694, 2864, 982, 513, 2898, 267, 2687, 547, 1382, 3370, 2228, 4873, 476, 3066, 538, 519, 3864, 4750, 540, 4317, 10017, 269, 9093, 267, 593, 519, 824, 1688, 267, 616, 9268, 607, 513, 2898, 2864, 982, 519, 2040, 540, 741, 2694, 563, 2108, 9336, 1485, 267, 8723, 2021, 616, 1373, 4389, 547, 741, 4638, 1560, 2694, 2223, 1767, 1353, 2278, 8861, 717, 969, 9820, 267, 513, 18673, 693, 519, 2160, 540, 27228, 267, 12493, 269, 968, 1607, 3884, 1406, 1175, 1945, 602, 2706, 7116, 1564, 610, 27127, 6801, 723, 547, 4308, 609, 1848, 1496, 277, 13834, 3733, 2195, 267, 645, 755, 539, 2639, 19617, 2730, 2090, 723, 1336, 602, 4743, 1843, 1881, 568, 3983, 585, 2021, 269, 9861, 522, 326, 1194, 666, 1118, 2021, 798, 8338, 593, 2979, 4255, 267, 543, 1582, 5498, 10745, 1436, 267, 610, 22987, 540, 835, 779, 1378, 3337, 267, 568, 5532, 547, 1560, 17847, 267, 4189, 4713, 543, 4057, 7099, 563, 3719, 1346, 4681, 723, 782, 5059, 593, 519, 8226, 540, 1373, 4638, 1242, 610, 1843, 1881, 267, 717, 969, 9820, 5143, 14970, 16631, 269, 2701, 543, 1200, 9164, 9289, 827, 519, 3750, 540, 519, 1531, 27212, 281, 3657, 1004, 2731, 1843, 4328, 2021, 811, 982, 2367, 888, 2414, 1265, 856, 267, 519, 3173, 5059, 593, 1079, 2010, 540, 2790, 4393, 267, 2518, 543, 2199, 269, 6820, 4393, 568, 875, 519, 2634, 14439, 3615, 607, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 28833, 888, 763, 4971, 3284, 5995, 273, 551, 331, 910, 306, 2638, 3135, 10276, 12574, 29688, 1476, 1341, 5291, 323, 269, 1476, 6119, 543, 1397, 596, 952, 519, 16105, 568, 2953, 543, 519, 1592, 540, 5691, 3984, 630, 663, 930, 811, 1217, 725, 1916, 1692, 798, 594, 917, 952, 513, 3896, 568, 28833, 888, 2791, 991, 547, 5734, 3399, 593, 28833, 543, 602, 779, 621, 256, 1411, 786, 723, 28833, 4881, 269, 5153, 476, 276, 9890, 3619, 547, 707, 11422, 543, 1826, 5291, 2517, 14096, 269, 271, 269, 271, 269, 272, 610, 5291, 2517, 29985, 10676, 281, 3199, 547, 13182, 28833, 1357, 7746, 16475, 676, 2473, 4456, 13048, 676, 9683, 21686, 4580, 563, 1692, 1281, 513, 5691, 3984, 960, 888, 29919, 16475, 568, 513, 1505, 585, 16475, 2789, 6389, 4408, 630, 5976, 5094, 7829, 540, 1142, 2012, 264, 593, 513, 2582, 7746, 630, 528, 7535, 540, 13763, 1040, 901, 2636, 835, 7746, 547, 2671, 922, 2200, 267, 971, 607, 3965, 543, 16267, 9979, 267, 1510, 8506, 782, 2533, 3177, 547, 946, 519, 1482, 3984, 2012, 563, 1692, 798, 594, 12575, 519, 14747, 3758, 538, 8837, 476, 1015, 888, 20360, 3298, 476, 1015, 543, 8837, 476, 279, 454, 268, 4964, 519, 8837, 1883, 563, 268, 7392, 3502, 788, 611, 538, 519, 3406, 2361, 563, 268, 769, 519, 3406, 2164, 267, 1318, 26487, 3502, 788, 611, 543, 2824, 14840, 607, 23070, 563, 268, 3245, 3502, 788, 611, 267, 1930, 519, 1739, 3758, 281, 524, 281, 20360, 3298, 21902, 3953, 291, 31034, 21255, 739, 338, 563, 268, 5269, 519, 2556, 2242, 547, 519, 3758, 563, 268, 8564, 11711, 3436, 16440, 547, 4688, 707, 2242, 269, 0, 8489, 568, 519, 5291, 323, 1476, 3758, 4092, 888, 763, 28833, 26824, 18218, 12122, 3758, 568, 1315, 31756, 270, 10674, 323, 270, 20813, 270, 10674, 323, 269, 1476, 1547, 634, 5291, 323, 269, 1476, 3758, 568, 1134, 10687, 7757, 543, 6140, 1582, 7721, 17839, 2218, 563, 8489, 568, 519, 9949, 4087, 585, 519, 1292, 28833, 12122, 3758, 888, 3519, 14808, 4851, 28567, 543, 6034, 1161, 454, 2252, 596, 8704, 5291, 323, 689, 2707, 267, 519, 9949, 4087, 540, 519, 12122, 6119, 568, 1315, 23591, 15828, 5914, 270, 777, 5995, 273, 270, 20813, 1547, 634, 9949, 12122, 3758, 568, 2356, 1572, 5291, 323, 269, 1476, 4586, 8489, 568, 28833, 4762, 580, 8837, 888, 25721, 5995, 568, 27358, 676, 519, 6119, 538, 519, 1476, 1016, 29715, 800, 269, 1452, 616, 519, 1482, 6119, 1031, 547, 19022, 519, 1133, 1460, 4528, 267, 855, 972, 616, 513, 1906, 1114, 1463, 1161, 585, 28833, 593, 8837, 269, 6423, 519, 1463, 633, 4994, 585, 782, 519, 2139, 1463, 1161, 563, 8489, 568, 28833, 8848, 3758, 2578, 657, 888, 3080, 540, 519, 1292, 2081, 28833, 3252, 568, 998, 12122, 6119, 269, 1358, 616, 4092, 693, 1315, 31756, 270, 10674, 323, 269, 28833, 814, 513, 1292, 12122, 3758, 281, 1315, 31756, 270, 10674, 323, 270, 20813, 270, 10674, 323, 269, 1476, 4586, 1432, 568, 5291, 323, 1476, 3758, 538, 28833, 888, 763, 5291, 323, 269, 1476, 3758, 568, 519, 1292, 12122, 3758, 585, 519, 28833, 1357, 7746, 269, 2560, 898, 779, 3810, 5227, 547, 2196, 28833, 538, 1796, 29671, 1826, 585, 1732, 2773, 543, 3432, 269, 18218, 305, 2393, 968, 270, 31756, 270, 10674, 323, 892, 634, 4781, 18218, 305, 2393, 23403, 519, 15682, 538, 799, 519, 12122, 6119, 540, 519, 28833, 7746, 2729, 563, 8489, 568, 5291, 323, 1476, 538, 28833, 888, 4002, 1034, 1949, 952, 596, 8704, 28833, 609, 513, 10189, 9614, 267, 610, 621, 3357, 840, 13318, 6817, 267, 519, 28833, 12122, 3758, 568, 4092, 538, 835, 540, 891, 6753, 912, 268, 1315, 31756, 270, 777, 5995, 273, 270, 10674, 323, 269, 1476, 563, 268, 1315, 31756, 270, 777, 5995, 273, 270, 777, 5995, 273, 269, 1476, 563, 268, 1315, 31756, 270, 10674, 323, 270, 10674, 323, 269, 1476, 563, 268, 1315, 31756, 270, 10674, 323, 270, 20813, 270, 10674, 323, 269, 1476, 563, 1692, 798, 594, 1265, 28833, 8848, 16105, 888, 2791, 666, 946, 1312, 3284, 5995, 551, 331, 543, 5291, 323, 1907, 547, 1449, 707, 28833, 12122, 689, 519, 12363, 563, 3721, 338, 547, 1449, 28833, 12122, 1510, 1964, 691, 532, 3028, 912, 268, 32374, 707, 9053, 12363, 3498, 563, 268, 22478, 28833, 12122, 3758, 1210, 707, 9053, 1257, 9375, 269, 6693, 268, 4530, 12122, 3758, 16105, 1210, 28833, 9352, 563, 8489, 568, 5291, 323, 1476, 538, 524, 32292, 601, 7746, 888, 763, 5291, 323, 269, 1476, 3758, 11225, 12122, 5468, 585, 519, 26824, 7014, 543, 585, 519, 5106, 540, 519, 7746, 269, 898, 568, 1152, 3015, 676, 513, 1062, 23070, 8259, 596, 723, 513, 667, 539, 5344, 18218, 610, 966, 4916, 269, 1403, 596, 723, 667, 539, 5344, 18218, 610, 966, 4916, 267, 524, 32292, 601, 3888, 338, 519, 12122, 3758, 538, 1315, 23591, 15828, 5914, 270, 777, 5995, 270, 20813, 270, 10674, 323, 563, 8489, 568, 562, 6265, 343, 1476, 4092, 888, 3528, 9949, 267, 519, 12122, 3758, 568, 3957, 562, 6265, 343, 269, 1476, 543, 5116, 538, 519, 15682, 1315, 23591, 15828, 5914, 270, 978, 514, 343, 270, 20813, 2073, 1315, 31756, 270, 978, 514, 343, 2073, 610, 1315, 23591, 15828, 5914, 270, 31756, 270, 978, 514, 343, 4586, 1692, 798, 594, 1569, 28833, 8848, 3758, 888, 272, 19868, 538, 547, 707, 3896, 609, 519, 3597, 3593, 3842, 513, 12363, 543, 6330, 547, 519, 12122, 6119, 538, 519, 17835, 4092, 693, 1315, 31756, 270, 10674, 323, 270, 676, 17511, 524, 323, 1315, 31756, 270, 10674, 323, 28918, 7046, 519, 5291, 323, 269, 1476, 3758, 676, 17511, 19274, 5291, 323, 269, 1476, 269, 0, 2691, 15385, 936, 4386, 1063, 1079, 1875, 1606, 3563, 24885, 1749, 267, 2281, 786, 1118, 3160, 2338, 540, 21921, 5364, 543, 15366, 13708, 26347, 563, 1432, 1281, 15385, 936, 3132, 888, 15899, 532, 27492, 568, 519, 5385, 540, 4719, 1570, 1063, 4630, 27881, 15954, 269, 898, 2164, 538, 1007, 10659, 540, 6090, 593, 1142, 15694, 269, 2560, 898, 2164, 538, 13708, 26347, 602, 723, 2189, 10659, 540, 15954, 269, 769, 4638, 12093, 267, 1079, 13708, 26347, 26595, 547, 3132, 606, 15556, 563, 1692, 1082, 13708, 26347, 1281, 15385, 936, 3132, 888, 2252, 15385, 936, 4386, 1063, 519, 1079, 6090, 267, 606, 5385, 540, 27586, 568, 3812, 1063, 519, 4630, 27881, 15954, 269, 1284, 4061, 3489, 476, 2004, 260, 968, 8001, 531, 892, 13708, 26347, 543, 476, 2004, 260, 968, 516, 18474, 1441, 892, 13708, 26347, 267, 2417, 5258, 538, 2185, 2010, 540, 13708, 26347, 689, 519, 1448, 540, 2070, 540, 27446, 9668, 563, 9989, 15385, 936, 1711, 13708, 26347, 888, 15899, 532, 936, 568, 513, 1184, 602, 4523, 1063, 4630, 27881, 15954, 538, 1931, 547, 2333, 4719, 4763, 269, 4438, 15385, 936, 267, 851, 540, 835, 15694, 568, 22121, 609, 1776, 269, 2560, 31133, 26347, 2744, 519, 2702, 547, 581, 16220, 1114, 689, 741, 15231, 13708, 26347, 1310, 15385, 936, 4386, 563, 1692, 1281, 15385, 936, 1860, 13708, 26347, 888, 1607, 1184, 267, 849, 1634, 607, 15385, 936, 267, 5932, 13708, 26347, 602, 2270, 1007, 10659, 540, 6090, 267, 799, 2337, 11694, 519, 4719, 4763, 540, 1022, 15556, 602, 1267, 689, 519, 22638, 9769, 540, 1079, 13708, 26347, 1282, 4638, 12093, 563, 1692, 1281, 15385, 936, 7369, 519, 29294, 540, 13708, 26347, 888, 15899, 532, 936, 267, 610, 21921, 1588, 267, 568, 519, 5385, 540, 15694, 12415, 1063, 20060, 3563, 24885, 1749, 538, 32450, 269, 9061, 532, 936, 5932, 1007, 10659, 540, 6090, 538, 519, 13708, 26347, 602, 616, 711, 1336, 538, 2901, 2385, 267, 7700, 547, 4719, 4763, 563, 15899, 532, 936, 666, 2322, 1007, 27586, 1927, 538, 4999, 593, 519, 1482, 15694, 267, 4929, 873, 547, 979, 883, 519, 1482, 13708, 23176, 269, 1879, 6090, 616, 2484, 6306, 267, 15385, 936, 4523, 1419, 2614, 602, 782, 2010, 540, 13708, 26347, 616, 3812, 609, 476, 1839, 260, 4908, 563, 7617, 15954, 616, 3238, 538, 15385, 936, 888, 15899, 532, 936, 4386, 1063, 605, 874, 848, 594, 543, 21042, 848, 594, 543, 568, 519, 1184, 1141, 1079, 4630, 27881, 1875, 1606, 3563, 24885, 1749, 6292, 909, 609, 1142, 824, 543, 5385, 1114, 12415, 540, 4719, 1570, 547, 1106, 1079, 21921, 5364, 15694, 11078, 24885, 1749, 563, 9989, 15385, 936, 2049, 538, 5378, 2670, 610, 32450, 888, 15899, 532, 936, 4386, 538, 606, 7469, 848, 693, 1142, 15393, 540, 519, 1591, 1141, 519, 15954, 616, 14095, 1927, 269, 9061, 532, 936, 4386, 538, 21042, 848, 950, 782, 519, 15954, 616, 13988, 538, 519, 1647, 540, 519, 1591, 269, 4256, 2673, 16133, 2636, 15385, 936, 547, 2049, 269, 9061, 532, 936, 1281, 711, 2049, 538, 5378, 2670, 563, 1432, 32450, 7472, 8250, 2281, 888, 763, 1184, 2164, 538, 2185, 8250, 2281, 602, 616, 688, 30666, 267, 799, 1797, 789, 2270, 3368, 519, 1297, 540, 15954, 540, 519, 9733, 1355, 2385, 1591, 269, 2725, 22719, 814, 1312, 10486, 547, 543, 3604, 689, 5378, 2670, 267, 799, 568, 513, 1591, 6498, 1184, 538, 799, 513, 2385, 1591, 7472, 1079, 9838, 8250, 2281, 563, 1432, 4523, 1282, 15385, 936, 28866, 888, 15899, 532, 936, 4386, 1282, 605, 874, 848, 594, 540, 32450, 594, 269, 898, 3322, 519, 15175, 540, 6090, 1063, 4630, 860, 1132, 1875, 1606, 3563, 24885, 1749, 799, 2636, 519, 7848, 540, 14774, 543, 533, 11189, 4719, 1570, 609, 1007, 267, 21921, 5364, 15954, 269, 2560, 8422, 2621, 2189, 547, 32450, 594, 602, 798, 711, 2049, 538, 5378, 2670, 563, 1432, 4523, 538, 15385, 936, 538, 32450, 888, 15899, 532, 936, 568, 519, 5385, 540, 4719, 1570, 1063, 1875, 1606, 3563, 24885, 1749, 540, 4630, 27881, 15954, 1282, 32450, 267, 799, 2164, 538, 1007, 10246, 997, 10659, 538, 519, 8250, 2281, 269, 2560, 1452, 8424, 540, 15954, 267, 1142, 6508, 689, 835, 2385, 267, 616, 1572, 4630, 27881, 15954, 563, 9989, 15385, 936, 2141, 4755, 538, 32450, 888, 15899, 532, 936, 4386, 538, 519, 1101, 6498, 540, 32450, 269, 2311, 602, 3942, 1142, 15694, 814, 556, 6088, 883, 1079, 22204, 1572, 11078, 24885, 1749, 269, 2560, 9061, 532, 936, 2164, 538, 21921, 1588, 540, 6090, 1336, 593, 519, 1482, 15694, 267, 1572, 5532, 6090, 267, 602, 1131, 6382, 2141, 581, 10299, 1927, 563, 8489, 1281, 15385, 936, 2049, 538, 32450, 543, 875, 1281, 621, 2014, 8390, 538, 519, 13708, 26347, 888, 7628, 32450, 267, 4630, 27881, 15954, 630, 272, 689, 1142, 2385, 264, 6292, 2059, 741, 13080, 269, 634, 15954, 3444, 936, 693, 2798, 1572, 669, 5362, 2742, 269, 2311, 1142, 669, 5362, 2742, 267, 519, 15954, 2736, 543, 556, 21860, 267, 9467, 930, 540, 741, 6090, 269, 901, 21921, 1588, 2164, 538, 4719, 8390, 563, 1432, 4523, 950, 15385, 936, 1281, 711, 2049, 888, 2252, 15385, 936, 1705, 711, 2049, 1282, 32450, 267, 972, 1131, 581, 1447, 4719, 8390, 1369, 513, 2249, 269, 2560, 4746, 519, 2249, 1223, 5884, 856, 1813, 547, 2068, 543, 1022, 12046, 6591, 786, 5884, 609, 519, 1367, 563, 1432, 1655, 6257, 15385, 936, 888, 15899, 532, 936, 568, 519, 2220, 6260, 540, 4719, 1570, 602, 4386, 538, 519, 10351, 1899, 269, 4438, 519, 5250, 540, 4212, 543, 14203, 2281, 267, 849, 1634, 607, 32450, 267, 19610, 15954, 689, 1142, 2385, 5447, 865, 602, 2147, 5027, 9696, 689, 519, 19610, 15954, 3444, 936, 835, 1776, 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 ]
[ 271, 338, 269, 901, 18854, 1399, 2773, 6645, 519, 1650, 540, 1614, 1352, 17731, 1091, 945, 7237, 606, 21425, 1247, 512, 2056, 741, 1166, 4169, 593, 8285, 18832, 269, 17652, 1310, 267, 789, 3643, 4816, 4906, 538, 21861, 548, 1335, 267, 1152, 547, 3605, 646, 781, 1044, 21687, 256, 5213, 1405, 5855, 282, 972, 781, 513, 6126, 10678, 950, 789, 3950, 1524, 519, 555, 3971, 543, 9156, 519, 13411, 1126, 269, 10801, 519, 1404, 267, 596, 666, 1294, 875, 15931, 5188, 543, 14973, 3871, 6854, 9458, 7722, 543, 7038, 539, 780, 19013, 267, 936, 942, 267, 930, 13915, 2219, 27803, 4249, 1185, 1831, 1932, 4737, 11276, 543, 1158, 569, 269, 1635, 519, 1439, 540, 519, 5664, 12698, 267, 891, 4249, 7930, 20374, 267, 8719, 676, 1007, 2010, 540, 5559, 553, 602, 5059, 1447, 593, 4984, 269, 12846, 267, 585, 7366, 540, 1296, 267, 27803, 4249, 3177, 2189, 2081, 585, 2950, 547, 5531, 1927, 267, 1451, 827, 741, 5132, 267, 543, 2972, 9159, 2984, 2097, 9800, 1318, 1354, 741, 4064, 780, 12244, 5384, 281, 5994, 596, 2811, 851, 540, 513, 1895, 2870, 513, 2413, 4528, 540, 513, 27803, 1404, 269, 1548, 3197, 1131, 596, 3442, 286, 1215, 1131, 596, 2671, 519, 5048, 540, 2648, 267, 4126, 267, 610, 19807, 998, 713, 8242, 2504, 286, 3503, 513, 5618, 7291, 610, 17250, 707, 1378, 6429, 1210, 4207, 1893, 543, 5468, 602, 1869, 27711, 519, 9759, 540, 513, 2757, 27803, 1404, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 306, 548, 3578, 338, 25491, 20550, 1676, 31698, 476, 279, 2918, 278, 4139, 20000, 2107, 1633, 334, 267, 8419, 476, 29044, 866, 630, 2412, 278, 264, 476, 3607, 274, 268, 2735, 276, 630, 8517, 264, 476, 4375, 274, 268, 2735, 276, 570, 3326, 5131, 630, 2412, 278, 264, 476, 31134, 268, 14690, 274, 674, 1314, 11910, 721, 547, 1118, 707, 1763, 969, 725, 476, 278, 17963, 829, 10432, 476, 279, 281, 1789, 4456, 547, 476, 279, 281, 1789, 15014, 8058, 8648, 269, 19744, 12416, 267, 1519, 27803, 543, 9814, 4249, 267, 12090, 689, 4984, 267, 4481, 689, 5783, 543, 519, 6426, 269, 6168, 9612, 11778, 269, 13038, 1576, 575, 712, 5471, 7594, 269, 634, 12653, 1457, 25491, 20550, 1676, 21541, 630, 21077, 543, 13234, 676, 12054, 514, 1961, 13323, 24020, 264, 3091, 513, 23433, 667, 1456, 15232, 1141, 15915, 2972, 938, 3349, 2427, 12653, 1457, 25491, 8058, 543, 513, 715, 739, 531, 11551, 21541, 25676, 607, 938, 2201, 1532, 13635, 4258, 325, 22316, 513, 8949, 12866, 6092, 20550, 1676, 269, 9521, 609, 519, 824, 11442, 10070, 267, 5716, 798, 711, 917, 1018, 4137, 1035, 545, 21754, 597, 476, 6110, 16936, 269, 769, 476, 1708, 271, 267, 5616, 21476, 729, 1031, 676, 269, 32386, 3688, 949, 1689, 689, 3923, 547, 3923, 269, 590, 548, 3578, 338, 25491, 20550, 1676, 31698, 4867, 814, 476, 1724, 1114, 13655, 602, 14595, 2429, 519, 3018, 269, 1547, 1849, 12494, 20829, 585, 606, 10543, 540, 7317, 1187, 256, 4039, 1314, 20829, 21305, 18226, 6517, 269, 11910, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19010, 24717, 1315, 19744, 1315, 21001, 2193, 1773, 904, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 4197, 22749, 543, 4762, 26555, 910, 634, 8865, 540, 12925, 692, 5331, 596, 616, 2713, 538, 513, 2197, 1572, 12925, 267, 4092, 538, 519, 5664, 5101, 269, 901, 4182, 814, 922, 1378, 2189, 1686, 267, 2528, 267, 543, 1062, 540, 12044, 3294, 269, 1809, 1175, 899, 1022, 824, 1747, 593, 3047, 267, 621, 849, 8188, 2591, 543, 7526, 602, 666, 1860, 519, 2729, 540, 922, 1004, 1169, 1554, 269, 1924, 875, 1281, 519, 2229, 960, 538, 12925, 286, 1656, 1018, 2186, 540, 2152, 798, 789, 3068, 972, 286, 2913, 781, 4685, 883, 713, 4241, 1888, 2439, 5575, 1055, 267, 1577, 781, 2911, 827, 519, 1826, 540, 2229, 12925, 814, 269, 898, 781, 1634, 607, 513, 834, 6247, 6627, 25931, 14081, 2437, 799, 1522, 3280, 7294, 267, 865, 1450, 803, 547, 2736, 621, 1524, 585, 596, 269, 589, 834, 10517, 3016, 257, 1797, 602, 4961, 1528, 13222, 945, 1287, 1118, 3664, 593, 741, 15773, 269, 9861, 834, 1706, 8365, 776, 257, 10522, 2348, 513, 15424, 1560, 1107, 519, 12057, 1107, 1141, 891, 11221, 8387, 2097, 1927, 547, 1711, 4031, 269, 14936, 267, 1373, 834, 6247, 6627, 257, 19752, 602, 972, 568, 513, 1305, 540, 3652, 267, 610, 513, 11156, 267, 13057, 875, 519, 2197, 13333, 780, 3086, 267, 4952, 952, 707, 1153, 1185, 606, 9550, 547, 3442, 1007, 2875, 14643, 10492, 269, 2659, 15032, 1131, 5859, 543, 2671, 741, 2093, 267, 2147, 547, 2797, 6105, 12721, 1282, 3084, 12836, 269, 4495, 3025, 16018, 267, 1346, 609, 519, 1034, 1489, 786, 1831, 851, 540, 519, 2875, 14643, 267, 1454, 899, 875, 13222, 1205, 6074, 585, 12925, 781, 7027, 540, 24929, 269, 1358, 1865, 1585, 6927, 7133, 1053, 543, 6430, 593, 3435, 267, 1360, 1454, 899, 1483, 14761, 2324, 585, 519, 8171, 540, 782, 4961, 780, 3719, 1934, 781, 1945, 4277, 827, 12925, 781, 2229, 281, 3006, 267, 1114, 2516, 1369, 519, 3354, 4229, 1810, 1405, 2141, 6432, 547, 519, 19742, 3401, 269, 2290, 1383, 568, 519, 15019, 22994, 16478, 17086, 630, 15014, 293, 1070, 799, 729, 4646, 547, 4339, 1996, 18483, 269, 2755, 1082, 6751, 293, 1249, 687, 1246, 9753, 689, 20045, 24863, 611, 267, 1866, 723, 2178, 13218, 547, 15231, 2477, 971, 607, 9459, 269, 1879, 713, 4523, 267, 621, 4617, 839, 519, 2229, 781, 17945, 593, 4509, 4708, 543, 1931, 2066, 519, 2898, 2197, 780, 4131, 781, 1589, 1394, 547, 938, 1153, 9183, 269, 14597, 835, 8630, 16976, 547, 17997, 922, 1378, 3652, 3079, 540, 1739, 519, 3283, 8815, 2390, 676, 519, 3003, 2875, 14643, 269, 2334, 5932, 10539, 1851, 1053, 543, 7519, 338, 10103, 269, 6684, 267, 950, 2694, 540, 12925, 781, 3354, 17102, 957, 10446, 267, 621, 14944, 1149, 3972, 538, 519, 2949, 5718, 543, 2306, 10350, 811, 2352, 780, 19013, 267, 5208, 3788, 513, 1713, 4161, 5185, 676, 12925, 529, 3232, 269, 13518, 540, 713, 24187, 11710, 689, 519, 4527, 540, 513, 22681, 3919, 3957, 4959, 3041, 630, 1492, 9099, 3557, 540, 12925, 543, 16850, 1040, 1411, 949, 11291, 6217, 3377, 2984, 827, 873, 4929, 2800, 538, 1896, 2477, 1472, 519, 1158, 269, 4014, 12925, 781, 4108, 7307, 547, 2569, 4959, 3041, 781, 4222, 14320, 267, 1507, 13164, 1869, 4383, 547, 4163, 856, 5906, 6411, 899, 10514, 902, 543, 32043, 1952, 902, 780, 2414, 1174, 1946, 4959, 3041, 6818, 267, 4605, 2576, 11836, 513, 14228, 1317, 789, 1745, 16053, 267, 5134, 8972, 267, 610, 29144, 269, 6987, 8145, 626, 2516, 1419, 17908, 7925, 2043, 676, 5356, 873, 513, 2631, 540, 10362, 543, 3483, 269, 3683, 942, 267, 2705, 267, 9097, 4978, 1491, 3180, 267, 3056, 873, 547, 3479, 15265, 23339, 269, 19759, 569, 267, 713, 4783, 5170, 547, 10956, 3294, 267, 31328, 4655, 543, 7092, 585, 17608, 21127, 9575, 538, 519, 3444, 13933, 780, 15563, 267, 649, 991, 547, 2232, 1776, 2565, 3390, 7282, 16857, 6811, 1063, 12925, 781, 3844, 2229, 543, 519, 10859, 22052, 26127, 3148, 1572, 519, 918, 6324, 6017, 13636, 6554, 630, 298, 305, 294, 1040, 2991, 8066, 513, 8917, 585, 7115, 538, 3735, 476, 1001, 278, 267, 13253, 15583, 730, 1813, 547, 22195, 3823, 8513, 10665, 269, 1306, 1312, 5011, 6836, 547, 22919, 1852, 936, 29653, 3338, 267, 31482, 17774, 3166, 540, 1480, 2924, 19374, 8149, 676, 11439, 4229, 780, 1103, 938, 4928, 2796, 267, 15475, 1079, 15731, 8044, 936, 9562, 540, 513, 1880, 1858, 1031, 585, 2238, 269, 1403, 1919, 5749, 1405, 17251, 993, 545, 2406, 267, 12699, 7440, 1223, 1291, 547, 30849, 2623, 899, 11648, 610, 27195, 1866, 689, 1210, 3838, 5624, 269, 1677, 2061, 2417, 3441, 267, 4079, 1590, 26544, 16425, 543, 1265, 12581, 3435, 3858, 762, 547, 782, 6105, 3238, 780, 2026, 649, 2263, 1950, 3584, 899, 6608, 543, 7526, 267, 3314, 602, 1620, 3085, 1405, 4755, 16074, 269, 1635, 1565, 827, 3309, 6082, 899, 12925, 267, 649, 22962, 938, 5380, 267, 26003, 1125, 609, 8284, 3425, 5001, 267, 543, 5660, 3646, 2509, 2679, 9434, 4708, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 12036, 568, 513, 13338, 25931, 14081, 269, 634, 476, 1001, 279, 25931, 12836, 267, 1247, 20541, 267, 3622, 1558, 3486, 4441, 540, 1863, 543, 4023, 12836, 543, 3366, 547, 519, 12560, 5912, 540, 1379, 689, 11788, 10579, 12794, 3187, 620, 5025, 321, 14508, 547, 1520, 559, 19869, 620, 5336, 1695, 10972, 563, 290, 2753, 1014, 8128, 1705, 711, 2226, 2500, 1852, 936, 930, 2609, 540, 519, 3354, 4229, 267, 3226, 1978, 4559, 540, 519, 15019, 22994, 16478, 17086, 630, 15014, 293, 264, 602, 941, 13988, 609, 9459, 563, 309, 2723, 775, 4797, 2429, 519, 1032, 267, 7361, 23185, 676, 519, 3527, 540, 4959, 3041, 269, 634, 2229, 10294, 11802, 936, 4959, 3041, 538, 5412, 476, 1001, 278, 1310, 20427, 4227, 519, 1895, 779, 2702, 547, 3479, 28407, 543, 32012, 885, 267, 855, 2818, 540, 519, 1895, 4797, 547, 4163, 856, 14686, 6285, 543, 32043, 1952, 902, 269, 634, 2229, 779, 15260, 1068, 542, 540, 5313, 6392, 538, 31713, 2127, 536, 867, 1359, 519, 12925, 328, 918, 6324, 6017, 16323, 630, 31082, 305, 1070, 1310, 519, 918, 6324, 6017, 16323, 779, 5181, 476, 1001, 278, 7115, 22275, 31558, 267, 8507, 538, 5359, 540, 28407, 543, 32012, 885, 676, 519, 694, 2017, 328, 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, 7982, 950, 594, 729, 538, 2852, 267, 594, 1185, 513, 887, 2174, 622, 3957, 4460, 945, 729, 18930, 539, 609, 1010, 1920, 781, 5444, 30688, 269, 1261, 1131, 6108, 3108, 26311, 936, 2025, 6054, 267, 14829, 5638, 267, 543, 25110, 7373, 1845, 3843, 547, 10250, 1394, 1010, 22871, 269, 2290, 1554, 267, 1247, 2469, 998, 606, 2025, 4216, 646, 15110, 689, 1010, 20516, 267, 646, 16686, 2390, 513, 4484, 2854, 538, 476, 14321, 276, 602, 7000, 513, 26648, 5728, 827, 835, 540, 938, 11937, 780, 15812, 4362, 602, 938, 22660, 267, 5261, 267, 729, 2899, 513, 13991, 4759, 540, 519, 29842, 534, 5783, 267, 855, 2663, 2968, 513, 535, 969, 550, 8830, 11939, 840, 12329, 1282, 519, 476, 1704, 628, 2540, 269, 4340, 547, 519, 4484, 267, 5261, 5433, 771, 650, 4288, 539, 609, 519, 29842, 534, 5783, 1813, 547, 922, 15984, 547, 14969, 12738, 267, 15796, 267, 543, 12250, 1242, 1379, 3889, 269, 3220, 1508, 676, 1010, 24235, 602, 5132, 1590, 581, 1759, 9003, 593, 27403, 543, 1367, 5289, 2833, 267, 5261, 8678, 519, 3395, 16034, 540, 519, 8830, 30808, 780, 19365, 4166, 6591, 513, 10639, 607, 513, 10388, 610, 1807, 543, 993, 21724, 513, 1804, 1739, 267, 799, 9575, 519, 3007, 540, 519, 2199, 8128, 269, 674, 8960, 741, 3310, 1223, 1291, 547, 7839, 29926, 1996, 519, 29842, 534, 5783, 267, 789, 2040, 3000, 539, 5261, 1354, 873, 543, 18796, 602, 646, 973, 656, 1010, 4978, 610, 3068, 4049, 4539, 269, 1809, 3079, 540, 25380, 1524, 267, 5261, 23060, 1524, 593, 1010, 31710, 543, 4797, 10825, 1010, 5048, 2429, 519, 24781, 780, 3080, 3781, 267, 1310, 4758, 513, 28005, 517, 693, 513, 7404, 8498, 267, 5261, 20374, 1510, 513, 10250, 269, 3571, 13794, 22646, 1164, 543, 1970, 855, 7948, 1405, 1265, 1022, 1129, 540, 1864, 2394, 1896, 4374, 2663, 267, 950, 1010, 3076, 6804, 1560, 18233, 909 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 275, 2053, 476, 1015, 1070, 476, 1911, 568, 1100, 262, 6390, 544, 5889, 6255, 6759, 6255, 20110, 18255, 6759, 262, 324, 630, 272, 2053, 476, 1015, 2053, 476, 1015, 1070, 543, 476, 1001, 568, 683, 343, 320, 544, 5889, 6255, 6759, 6255, 20110, 18255, 6759, 262, 324, 554, 6759, 6255, 5889, 18255, 6759, 262, 6390, 630, 273, 2053, 476, 1015, 2053, 476, 1015, 7132, 476, 272, 1916, 5278, 2362, 2338, 912, 1556, 544, 5889, 327, 1729, 327, 1729, 554, 6759, 6255, 5889, 18255, 5451, 262, 17845, 560, 572, 454, 2537, 562, 15530, 6759, 262, 324, 554, 6759, 6255, 5889, 327, 3534, 262, 515, 454, 1911, 1100, 262, 6390, 544, 5889, 6255, 6759, 6255, 20110, 18255, 6759, 262, 324, 454, 301, 13246, 538, 13450, 912, 32723, 7224, 262, 6390, 515, 269, 1703, 568, 835, 630, 534, 1493, 264, 1315, 1261, 568, 4805, 563, 32723, 333, 19902, 334, 262, 334, 269, 1703, 616, 1079, 540, 873, 630, 534, 1493, 1916, 32723, 333, 6759, 327, 821, 334, 262, 334, 269, 1703, 616, 2947, 540, 873, 630, 534, 1493, 1916, 32723, 333, 6759, 262, 6390, 262, 324, 269, 1703, 568, 835, 630, 514, 534, 1493, 3364, 1916, 32723, 333, 2946, 343, 17505, 17845, 560, 572, 269, 1703, 616, 1079, 540, 873, 630, 514, 534, 1493, 1916, 333, 2946, 18255, 2946, 2946, 341, 20110, 572, 1312, 540, 873, 454, 333, 2946, 18255, 2946, 18863, 572, 1312, 540, 721, 0, 8702, 547, 14068, 7970, 1362, 3817, 256, 8437, 593, 519, 6801, 547, 1265, 5022, 1753, 267, 1788, 543, 12353, 6780, 543, 849, 11147, 543, 3377, 540, 938, 1565, 256, 634, 14068, 7970, 723, 12306, 538, 1134, 547, 741, 1007, 1362, 543, 649, 723, 2907, 19927, 513, 2603, 827, 519, 834, 27288, 4639, 2580, 4712, 547, 2253, 1603, 930, 11356, 4930, 269, 634, 14068, 7970, 4951, 741, 3434, 2044, 1983, 1932, 267, 1818, 2250, 787, 689, 15072, 547, 3132, 930, 8949, 834, 322, 578, 24742, 257, 2250, 625, 2063, 3018, 256, 901, 3018, 649, 723, 19927, 811, 827, 519, 1114, 2516, 540, 1004, 2713, 593, 519, 1977, 23617, 538, 519, 13524, 2540, 543, 1558, 606, 9125, 6048, 945, 4951, 721, 875, 547, 2007, 585, 3615, 689, 519, 2250, 543, 875, 547, 4266, 873, 1932, 256, 1284, 723, 2854, 930, 3078, 14822, 20417, 9035, 1759, 593, 938, 1433, 713, 2165, 267, 834, 28012, 5600, 593, 634, 16217, 21961, 2580, 543, 649, 10150, 6947, 547, 21555, 540, 891, 1472, 519, 3786, 13933, 1282, 938, 10800, 24742, 1554, 256, 1284, 849, 6836, 938, 1688, 693, 887, 4771, 538, 12418, 267, 543, 24263, 873, 909, 543, 15385, 519, 524, 9127, 609, 782, 938, 28378, 256, 634, 14068, 7970, 17031, 1055, 741, 8187, 4639, 1888, 538, 2511, 609, 741, 1362, 10198, 267, 543, 2731, 3838, 782, 741, 1702, 609, 721, 256, 4270, 2944, 14068, 7970, 2336, 763, 14068, 7970, 723, 13175, 1565, 827, 519, 7122, 649, 2661, 538, 538, 938, 834, 4504, 334, 6611, 257, 1888, 267, 1818, 3859, 1062, 4254, 3796, 543, 3206, 827, 2230, 873, 539, 7493, 1148, 269, 13772, 713, 2230, 585, 811, 3078, 1565, 3377, 689, 519, 14068, 7970, 256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 326, 6889, 326, 9445, 1839, 2580, 535, 326, 284, 834, 20391, 19990, 14744, 1038, 1582, 4877, 6055, 4067, 269, 2897, 3287, 284, 271, 267, 586, 284, 7742, 10142, 1038, 1582, 269, 653, 29029, 815, 22443, 4311, 16000, 267, 1257, 6889, 2580, 13944, 284, 3488, 25106, 476, 2767, 12050, 30670, 536, 326, 6889, 326, 9445, 1839, 2580, 535, 326, 284, 834, 20391, 19990, 14744, 1038, 1582, 269, 653, 29029, 269, 2897, 3287, 284, 271, 267, 586, 284, 23310, 10142, 1038, 1948, 20135, 22443, 1477, 1038, 1582, 6745, 4973, 9078, 815, 22443, 4311, 16192, 267, 1257, 6889, 2580, 13944, 284, 3488, 25106, 476, 2412, 12050, 30670, 536, 326, 6889, 326, 1245, 523, 16967, 274, 2580, 535, 326, 6889, 326, 9445, 1839, 14744, 1038, 1582, 6745, 4973, 9078, 269, 2897, 3287, 284, 271, 267, 586, 284, 7785, 10142, 825, 1219, 909, 4311, 8029, 1038, 3597, 284, 307, 963, 767, 4311, 6230, 2120, 3418, 1038, 3597, 269, 613, 5852, 2891, 15793, 277, 343, 278, 6924, 266, 271, 266, 271, 14744, 1038, 9337, 284, 291, 520, 15390, 20172, 10142, 825, 1219, 1039, 273, 27219, 4311, 8029, 1038, 3597, 284, 307, 963, 767, 4311, 6230, 2120, 3418, 1038, 3597, 269, 613, 5852, 2891, 15793, 277, 343, 278, 6924, 266, 271, 266, 271, 14744, 1038, 1039, 284, 11754, 15461, 32707, 520, 15390, 20172, 3418, 825, 1219, 14827, 4311, 8029, 1038, 3597, 6155, 652, 5797, 14052, 5897, 5897, 5897, 24653, 10174, 815, 570, 330, 14052, 321, 284, 13335, 20172, 10142, 10174, 269, 613, 5852, 2891, 15793, 277, 343, 278, 6924, 266, 271, 266, 271, 14744, 10174, 6230, 664, 31467, 14052, 0, 258, 9717, 606, 703, 562, 267, 2132, 519, 6207, 3017, 1063, 562, 543, 476, 2641, 267, 4849, 454, 258, 2132, 5595, 519, 6207, 3017, 952, 562, 568, 936, 476, 2641, 780, 258, 12726, 912, 258, 886, 2641, 263, 866, 264, 9890, 476, 273, 454, 258, 886, 2641, 263, 1015, 264, 9890, 476, 1556, 454, 258, 886, 2641, 263, 2641, 264, 9890, 476, 271, 692, 3698, 886, 2641, 3799, 2187, 825, 535, 815, 476, 273, 952, 562, 3436, 476, 2641, 3116, 476, 272, 454, 825, 2132, 2612, 6600, 2608, 630, 2641, 910, 562, 4917, 0, 18411, 32046, 593, 3967, 476, 3066, 267, 476, 1001, 272, 692, 287, 10461, 281, 918, 337, 345, 903, 345, 1729, 325, 20579, 852, 24989, 630, 330, 337, 345, 903, 345, 1729, 325, 6745, 541, 852, 24989, 287, 2096, 841, 2593, 994, 18257, 692, 5814, 2599, 7531, 3698, 4604, 15461, 23919, 29033, 2187, 825, 15981, 30474, 16493, 519, 3014, 4604, 780, 825, 1488, 7714, 912, 1038, 4604, 281, 589, 476, 274, 343, 274, 11885, 5044, 454, 672, 15981, 692, 825, 1219, 1871, 15461, 318, 10420, 263, 7407, 2187, 1038, 15981, 20593, 1206, 21635, 8204, 5716, 593, 513, 3014, 4604, 547, 1347, 454, 2018, 6041, 780, 1038, 1488, 7714, 912, 2018, 1871, 281, 589, 3586, 8204, 513, 6345, 780, 1038, 16849, 912, 2018, 23657, 1412, 311, 3299, 1412, 302, 262, 610, 2230, 1915, 563, 1038, 23288, 1038, 952, 1871, 2652, 2599, 10422, 272, 912, 2018, 2132, 1412, 311, 7055, 1038, 952, 1871, 2652, 2599, 10422, 273, 912, 2018, 2132, 1412, 302, 28847, 1038, 2132, 1412, 1412, 692, 825, 4610, 815, 1496, 7407, 15461, 318, 10420, 263, 7407, 264, 585, 1871, 538, 4604, 269, 29788, 6540, 825, 4604, 23919, 815, 26444, 18257, 825, 476, 271, 567, 476, 272, 567, 476, 273, 454, 476, 1341, 19203, 266, 19203, 266, 19203, 32504, 271, 1923, 2715, 271, 348, 1923, 2715, 272, 348, 1923, 2715, 273, 348, 11406, 476, 1341, 19203, 266, 19203, 266, 19203, 32504, 272, 1923, 2715, 274, 348, 1923, 2715, 275, 348, 1923, 2715, 276, 348, 11406, 476, 1341, 19203, 266, 19203, 266, 19203, 32504, 273, 1923, 2715, 277, 348, 1923, 2715, 278, 348, 1923, 2715, 279, 348, 11406, 476, 1341, 19203, 266, 19203, 266, 19203, 266, 5257, 8339, 8971, 28949, 26753, 2020, 825, 2132, 4604, 23919, 454, 0, 258, 23095, 513, 5691, 1604, 692, 258, 5675, 513, 1599, 547, 1449, 16865, 9074, 454, 258, 1684, 711, 1104, 3252, 602, 2154, 3593, 17942, 2183, 5872, 7531, 258, 901, 1449, 3758, 1058, 581, 513, 1547, 6853, 3758, 454, 258, 13201, 547, 581, 7531, 258, 26840, 476, 272, 281, 13038, 7682, 6898, 538, 835, 1449, 1599, 4534, 2547, 14909, 1505, 454, 12163, 3698, 1449, 318, 13765, 318, 8461, 299, 263, 2567, 1948, 2012, 519, 1449, 1599, 607, 1449, 318, 283, 4067, 540, 1599, 707, 616, 1104, 532, 11417, 825, 689, 9498, 1104, 2638, 318, 8461, 299, 1948, 332, 755, 621, 581, 713, 16105, 286, 610, 666, 594, 798, 1104, 12223, 13090, 689, 13322, 13090, 454, 825, 1267, 815, 2638, 318, 8461, 299, 263, 3583, 264, 567, 1948, 9373, 513, 1871, 883, 519, 1599, 596, 16865, 543, 4558, 621, 607, 513, 1267, 3097, 825, 4397, 815, 834, 31863, 257, 1948, 1590, 917, 707, 3312, 1599, 781, 4397, 3977, 563, 825, 7682, 1267, 2652, 4397, 1948, 2667, 1068, 11974, 585, 1630, 18978, 2783, 602, 596, 4283, 692, 825, 1267, 815, 2638, 318, 8461, 299, 263, 272, 994, 825, 4397, 815, 834, 20181, 4840, 825, 7682, 1267, 2652, 4397, 692, 825, 1267, 815, 2638, 318, 8461, 299, 263, 3393, 994, 825, 4397, 815, 834, 289, 4650, 1467, 8899, 4840, 825, 7682, 1267, 476, 2652, 4397, 476, 1948, 4781, 476, 272, 585, 3818, 22533, 1770, 4152, 540, 513, 1599, 596, 1104, 602, 666, 723, 1585, 17016, 692, 825, 1948, 8074, 602, 519, 1657, 3096, 7682, 476, 274, 1114, 2053, 454, 825, 1948, 3502, 2141, 513, 1434, 2856, 547, 3009, 713, 1259, 1317, 952, 606, 5470, 4386, 538, 25318, 7682, 3948, 454, 825, 1948, 634, 3009, 2630, 602, 3884, 1405, 10443, 25341, 3478, 18106, 3795, 454, 20701, 258, 26840, 476, 273, 281, 476, 274, 5094, 4255, 3842, 476, 274, 5094, 1449, 3252, 454, 258, 3550, 4408, 616, 1114, 610, 3116, 9226, 1131, 2196, 1152, 519, 2063, 1449, 609, 519, 1482, 2012, 692, 12163, 3698, 1449, 318, 13765, 318, 8461, 299, 318, 272, 263, 2567, 3097, 825, 689, 9498, 1104, 2638, 318, 8461, 299, 3097, 825, 1267, 815, 2638, 318, 8461, 299, 263, 3583, 264, 3097, 825, 4397, 815, 834, 31863, 257, 3097, 825, 7682, 1267, 2652, 4397, 476, 7531, 3698, 1449, 318, 13765, 318, 8461, 299, 318, 273, 10031, 825, 689, 9498, 1104, 2638, 318, 8461, 299, 454, 825, 1267, 815, 2638, 318, 8461, 299, 263, 272, 994, 825, 4397, 815, 834, 20181, 4840, 825, 7682, 1267, 2652, 4397, 7531, 3698, 1449, 318, 13765, 318, 8461, 299, 318, 274, 263, 2567, 3097, 825, 689, 9498, 1104, 2638, 318, 8461, 299, 3097, 825, 1267, 815, 2638, 318, 8461, 299, 263, 3393, 994, 825, 4397, 815, 834, 289, 4650, 1467, 8899, 4840, 825, 7682, 1267, 476, 2652, 4397, 22562, 8931, 825, 1948, 901, 1505, 568, 15502, 855, 621, 3340, 25718, 543, 2250, 532, 799, 23313, 711, 3608, 543, 666, 1291, 547, 6959, 454, 12163, 258, 26840, 476, 274, 454, 5814, 7510, 11687, 692, 258, 1039, 7718, 1807, 1948, 5569, 267, 1287, 1592, 538, 4164, 564, 10078, 692, 258, 634, 1101, 4661, 540, 519, 7718, 1807, 568, 513, 5569, 540, 6724, 596, 2503, 519, 1599, 538, 519, 7718, 1807, 547, 1491, 538, 454, 258, 634, 2034, 513, 745, 618, 540, 519, 7718, 1807, 568, 513, 1592, 540, 8913, 1255, 5627, 519, 4632, 596, 530, 13860, 1449, 454, 287, 6853, 11687, 269, 5658, 269, 12407, 564, 10078, 2891, 8461, 299, 15305, 318, 14310, 267, 4397, 2580, 1496, 454, 825, 630, 3583, 267, 834, 31863, 257, 13211, 825, 630, 272, 267, 834, 20181, 257, 13211, 825, 630, 3393, 267, 834, 289, 4650, 1467, 8899, 257, 13211, 825, 476, 7481, 3698, 1449, 318, 13765, 318, 8461, 299, 263, 8461, 299, 15305, 318, 14310, 267, 4397, 2187, 825, 689, 9498, 1104, 2638, 318, 8461, 299, 454, 825, 2626, 815, 2638, 318, 8461, 299, 263, 8461, 299, 15305, 318, 14310, 994, 825, 7682, 2626, 2652, 4397, 692, 0, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 8894, 18851, 20877, 1239, 2497, 6388, 27969, 692, 5228, 3113, 318, 14607, 3596, 916, 21606, 14067, 4450, 3052, 1429, 269, 591, 23753, 1104, 7638, 23753, 454, 5228, 3113, 318, 14607, 3596, 916, 21606, 14067, 4450, 3052, 1429, 269, 8354, 1104, 22750, 692, 5228, 3113, 318, 14607, 3596, 916, 20216, 4003, 3052, 1429, 318, 1410, 4003, 1104, 8641, 3519, 13935, 19723, 23753, 2750, 18277, 454, 5228, 3113, 318, 14607, 3596, 916, 20216, 4003, 3052, 1429, 318, 1410, 4003, 1104, 3502, 3519, 13935, 292, 2211, 2750, 4003, 454, 5228, 3113, 318, 14607, 3596, 916, 20216, 4003, 3052, 1429, 318, 1410, 4003, 1104, 4578, 1805, 4450, 3674, 10387, 27679, 2750, 4003, 454, 5228, 3113, 318, 14607, 3596, 916, 20216, 4003, 6230, 612, 1137, 1104, 1239, 14067, 4450, 318, 529, 318, 24105, 8548, 20687, 454, 5228, 3113, 318, 14607, 3596, 916, 20216, 4003, 6230, 612, 1137, 1104, 711, 318, 935, 13935, 318, 591, 23753, 8548, 20687, 454, 5228, 3113, 318, 14607, 3596, 916, 20216, 4003, 6230, 612, 1137, 1104, 3113, 318, 935, 13935, 318, 591, 23753, 8548, 20687, 7531, 5035, 8641, 24998, 2187, 825, 5727, 12218, 28352, 3113, 1239, 2497, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 5727, 17746, 1192, 513, 1007, 3113, 1239, 2497, 27969, 454, 1038, 1582, 11519, 3200, 1182, 815, 31460, 1038, 1582, 11519, 539, 2471, 815, 29129, 825, 1219, 6449, 935, 13935, 9191, 1345, 267, 14584, 16182, 2187, 1038, 5727, 27987, 3020, 952, 14584, 16182, 3568, 538, 3113, 780, 1038, 1488, 7714, 912, 2018, 14584, 16182, 281, 2189, 7329, 540, 519, 14584, 538, 519, 3113, 692, 1038, 16849, 912, 2018, 1267, 630, 321, 944, 2567, 3020, 952, 14584, 16182, 3568, 538, 3113, 454, 1038, 8173, 1038, 2132, 14584, 16182, 538, 1582, 11519, 3200, 1182, 692, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 5727, 27987, 2450, 540, 3113, 780, 1038, 16849, 912, 2018, 2450, 630, 842, 2567, 2450, 540, 3113, 454, 1038, 8173, 1038, 2132, 1582, 25915, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2450, 4311, 2187, 1038, 5727, 27987, 1297, 540, 14622, 540, 3113, 780, 1038, 16849, 912, 2018, 2450, 630, 842, 2567, 2450, 540, 1178, 17989, 454, 1038, 8173, 1038, 2132, 7003, 4311, 11519, 3200, 1182, 2020, 825, 7711, 27393, 1399, 454, 825, 1219, 568, 318, 24105, 4311, 2187, 1038, 5727, 27987, 3020, 952, 3113, 568, 8900, 630, 15893, 540, 14622, 2652, 476, 271, 6393, 1038, 16849, 912, 2018, 1267, 630, 321, 944, 2567, 3020, 952, 3113, 568, 8900, 3116, 7301, 454, 1038, 8173, 1038, 2132, 1582, 25915, 2652, 476, 271, 692, 825, 1219, 1711, 318, 591, 23753, 318, 2421, 16182, 4311, 267, 14584, 16182, 2187, 1038, 5727, 8620, 14584, 538, 3113, 780, 1038, 1488, 7714, 912, 2018, 14584, 16182, 281, 2189, 14584, 7329, 692, 1038, 14780, 2478, 912, 2018, 8641, 3519, 13935, 19723, 23753, 2750, 18277, 281, 952, 3113, 3568, 14584, 454, 1038, 8173, 1038, 952, 14584, 16182, 538, 1582, 11519, 3200, 1182, 912, 2018, 6318, 8641, 3519, 13935, 19723, 23753, 2750, 18277, 14116, 1429, 318, 935, 13935, 318, 591, 23753, 8548, 20687, 263, 591, 23753, 16182, 4917, 1038, 1582, 11519, 3200, 1182, 314, 591, 23753, 16182, 316, 815, 7638, 23753, 263, 591, 23753, 16182, 2020, 825, 1219, 1205, 318, 591, 23753, 318, 2421, 16182, 4311, 267, 14584, 16182, 2187, 1038, 5727, 27987, 630, 2254, 1349, 264, 14584, 689, 3113, 780, 1038, 1488, 7714, 912, 2018, 14584, 16182, 281, 14584, 585, 2132, 692, 1038, 16849, 912, 2018, 14584, 281, 14584, 676, 7329, 692, 1038, 14780, 2478, 912, 2018, 4578, 1805, 4450, 3674, 10387, 27679, 2750, 4003, 281, 952, 3113, 568, 8900, 454, 2018, 3502, 3519, 13935, 292, 2211, 2750, 4003, 281, 952, 3113, 711, 3568, 14584, 454, 1038, 8173, 1038, 952, 1582, 18994, 318, 24105, 912, 2018, 6318, 4578, 1805, 4450, 3674, 10387, 27679, 2750, 4003, 16597, 14067, 4450, 318, 529, 318, 24105, 8548, 20687, 15405, 1038, 952, 14584, 16182, 711, 538, 1582, 11519, 3200, 1182, 912, 2018, 6318, 3502, 3519, 13935, 292, 2211, 2750, 4003, 263, 2254, 318, 935, 13935, 318, 591, 23753, 8548, 20687, 263, 591, 23753, 16182, 4917, 1038, 2132, 1582, 11519, 3200, 1182, 314, 591, 23753, 16182, 6540, 825, 1219, 1039, 318, 8354, 4311, 267, 689, 318, 591, 23753, 267, 547, 318, 591, 23753, 267, 2597, 284, 271, 2187, 1038, 5727, 11754, 606, 6316, 1063, 1079, 14622, 780, 1038, 1488, 7714, 912, 2018, 689, 318, 591, 23753, 281, 1376, 14584, 7329, 454, 2018, 547, 318, 591, 23753, 281, 1439, 14584, 7329, 454, 2018, 2597, 630, 842, 2567, 2597, 540, 6316, 692, 1038 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 275, 267, 6321, 278, 5195, 540, 18162, 2429, 519, 772, 2529, 269, 689, 519, 12551, 543, 13812, 6796, 454, 268, 476, 273, 267, 5392, 272, 18162, 538, 4639, 9098, 689, 519, 4639, 9098, 22127, 6176, 3590, 630, 31043, 264, 14502, 4741, 454, 268, 476, 278, 1626, 5195, 540, 18162, 538, 14522, 689, 519, 14522, 4972, 540, 7849, 8249, 454, 268, 476, 277, 2641, 5195, 540, 18162, 585, 519, 3557, 540, 12548, 689, 519, 12548, 4972, 540, 7849, 8249, 454, 268, 476, 5325, 280, 5195, 540, 18162, 267, 6140, 538, 519, 27743, 13738, 2829, 267, 689, 519, 13163, 540, 8092, 5004, 454, 2026, 519, 4015, 267, 11249, 543, 3892, 540, 713, 1239, 5170, 267, 811, 9316, 609, 8549, 267, 1533, 543, 2199, 8041, 568, 4397, 547, 2333, 1107, 543, 7494, 1039, 547, 513, 3084, 6538, 563, 13233, 2480, 21329, 3004, 2812, 454, 2467, 616, 476, 1556, 2101, 13009, 1949, 602, 723, 1044, 11280, 607, 513, 2817, 2480, 21329, 20417, 269, 1717, 267, 972, 568, 1100, 3084, 7400, 11558, 540, 891, 18162, 610, 741, 4786, 1239, 269, 634, 2475, 14899, 15726, 303, 814, 4646, 12352, 609, 1082, 3309, 22257, 543, 1875, 3766, 21194, 8041, 547, 3489, 782, 4143, 1239, 543, 9446, 1346, 13042, 13009, 12415, 593, 1533, 7851, 607, 789, 616, 15428, 563, 13233, 2480, 21329, 3004, 2812, 602, 723, 1044, 3773, 547, 2475, 14899, 4786, 2472, 912, 268, 519, 29630, 1014, 2817, 2480, 21329, 20417, 2676, 268, 519, 10979, 6520, 2817, 2480, 21329, 20417, 2676, 268, 519, 7414, 19566, 2817, 2480, 21329, 20417, 2676, 268, 519, 3345, 13474, 2817, 2480, 21329, 20417, 2676, 268, 519, 7414, 595, 6135, 2817, 2480, 21329, 20417, 2676, 268, 519, 14151, 2817, 2480, 21329, 20417, 2676, 268, 519, 14844, 31712, 29895, 2817, 2480, 21329, 20417, 2676, 268, 519, 1715, 4789, 2817, 2480, 21329, 20417, 2676, 268, 519, 25550, 19147, 2817, 2480, 21329, 20417, 2676, 268, 543, 519, 8419, 2817, 2480, 21329, 20417, 563, 763, 2698, 540, 891, 13009, 12415, 5116, 593, 2475, 5440, 334, 9076, 9201, 568, 811, 982, 476, 1724, 267, 1911, 5195, 269, 634, 6967, 715, 4306, 32261, 24299, 568, 519, 8000, 558, 659, 11595, 2817, 2480, 21329, 20417, 269, 634, 2475, 5440, 334, 11837, 1982, 568, 2324, 2182, 547, 3489, 602, 1239, 607, 1134, 607, 9337, 824, 18162, 607, 1007, 1344, 568, 3177, 563, 15239, 8566, 21194, 20417, 21664, 454, 763, 2475, 14899, 814, 1044, 2324, 609, 519, 4139, 13738, 645, 833, 5948, 630, 8379, 10621, 264, 543, 1234, 920, 1049, 16811, 267, 5549, 269, 630, 3918, 296, 264, 585, 5111, 1614, 1296, 269, 634, 13859, 13009, 1239, 568, 25422, 5812, 543, 568, 12649, 676, 5885, 8041, 543, 13761, 609, 2199, 8128, 269, 3414, 713, 11450, 267, 519, 2475, 14899, 814, 6394, 811, 982, 476, 1428, 267, 1822, 5195, 540, 18162, 267, 543, 1810, 1406, 4159, 18162, 602, 16937, 824, 18162, 12352, 269, 1280, 1383, 267, 519, 1007, 7851, 1810, 1406, 1397, 22558, 10621, 270, 11555, 296, 18162, 936, 2817, 5244, 6796, 267, 772, 2529, 269, 11206, 6796, 610, 12551, 543, 13812, 6796, 7851, 547, 2057, 1022, 10539, 563, 3725, 920, 1049, 18745, 540, 9314, 912, 5804, 519, 1585, 12352, 267, 519, 2475, 14899, 814, 5063, 1044, 2111, 547, 2253, 547, 1039, 824, 16351, 2798, 540, 1719, 269, 18786, 609, 513, 12681, 1788, 609, 519, 2817, 5244, 6796, 267, 519, 15428, 7851, 585, 3345, 10491, 3769, 2101, 16351, 3889, 543, 1858, 538, 519, 4279, 3911, 758, 344, 15142, 2817, 5244, 269, 17497, 267, 891, 16351, 2798, 540, 1719, 616, 5631, 3786, 3033, 338, 267, 13009, 21650, 267, 21233, 7740, 267, 543, 24181, 269, 634, 3355, 3575, 568, 16559, 2429, 519, 13780, 543, 1007, 1344, 568, 1373, 16041, 547, 7851, 538, 14469, 593, 513, 3232, 4493, 269, 2311, 713, 942, 267, 972, 616, 811, 982, 476, 280, 267, 1822, 1585, 16351, 2798, 540, 1719, 538, 519, 11837, 6538, 563, 5415, 20537, 667, 7398, 3004, 2812, 454, 763, 2817, 2983, 2214, 7652, 5358, 814, 11368, 1007, 4066, 543, 3157, 602, 786, 1450, 519, 8242, 7851, 547, 4183, 711, 1175, 31619, 18162, 855, 849, 2101, 6444, 1216, 543, 6777, 11507, 269, 901, 1007, 1239, 786, 581, 13859, 676, 519, 715, 4916, 543, 2475, 293, 454, 1692, 547, 7348, 543, 8281, 519, 20417, 543, 1234, 920, 1049, 6176, 912, 2467, 616, 1079, 3119, 2533, 547, 2070, 267, 4647, 543, 538, 930, 2665, 267, 13861, 519, 13009, 543, 16351, 2798, 540, 1719, 1344, 267, 607, 1134, 607, 824, 3490, 4786, 6106, 912, 4785, 5440, 334, 7851, 281, 1452, 7851, 616, 24018, 593, 519, 5432, 476, 278, 269, 276, 18826, 9076, 4120, 7851, 540, 519, 1974, 476, 3707, 278, 268, 1960, 273, 267, 855, 616, 2527, 1790, 22004, 689, 3084, 13664, 1344, 12240, 593, 513, 18110, 4783, 269, 634, 7851, 616, 3177, 607, 513, 3059, 4647, 689, 519, 2475, 14899, 15188, 543, 4843, 538, 2757, 4786, 1106, 282, 713, 2640, 1875, 1606, 2133, 626, 4786, 3755, 267, 607, 1134, 607, 3156, 602, 991, 2757, 7851, 269, 634, 2475, 5440, 334, 4786, 6454, 1982, 814, 9411, 922, 3791, 267, 1614, 4458, 4783, 540, 2847, 2358, 543, 21130, 3059, 2475, 5440, 334, 9076, 9201, 563, 763, 2817, 10934, 7348, 518, 543, 8281, 25957, 281, 2636, 14839, 543, 4647, 540, 938, 1034, 1699, 1283, 4919, 3490, 4786, 1239, 543, 2472, 269, 20305, 666, 1569, 1239, 689, 782, 5216, 3119, 1239, 4798, 540, 634, 2817, 10934, 267, 543, 2404, 2472, 267, 971, 607, 2475, 5440, 334, 7851, 267, 8466, 5440, 4919, 21476, 267, 543, 10934, 1473, 1182, 269, 901, 21951, 568, 7361, 5921, 585, 4810, 22944, 3755, 563, 2252, 596, 1131, 899, 547, 5635, 8978, 7851, 547, 1699, 1283, 4919, 7851, 267, 596, 666, 4647, 18767, 540, 9371, 2475, 14899, 1283, 334, 7851, 267, 930, 6580, 1394, 547, 519, 3735, 476, 5197, 271, 338, 269, 1452, 666, 581, 22434, 689, 519, 2475, 14899, 8466, 5440, 4919, 10934, 14635, 610, 1283, 334, 8698, 563, 5472, 2475, 14899, 11837, 2533, 543, 2472, 616, 2139, 607, 513, 1863, 4647, 563, 7476, 3776, 5240, 454, 4322, 3688, 616, 538, 519, 681, 7704, 3049, 3898, 630, 3725, 958, 11822, 5204, 526, 1709, 264, 1759, 593, 6688, 971, 607, 3584, 267, 6753, 267, 543, 811, 269, 1411, 666, 3888, 543, 681, 7704, 5467, 11422, 10137, 267, 3301, 267, 610, 946, 513, 3791, 18407, 3028, 547, 4309, 7525, 3377, 10311, 4470, 593, 519, 3049, 602, 596, 723, 3773, 269, 1403, 596, 4945, 519, 3049, 6402, 2630, 267, 789, 949, 1413, 9490, 1317, 789, 616, 3274, 24701, 3009, 269, 1323, 681, 7704, 5467, 666, 3362, 1224, 713, 3009, 543, 7903, 856, 513, 31015, 547, 596, 950, 1945, 1007, 568, 11540, 547, 938, 3135, 269, 0, 306, 12584, 920, 839, 2014, 811, 2960, 11871, 630, 663, 824, 11871, 264, 1317, 540, 741, 6757, 5820, 799, 616, 1634, 547, 2014, 2860, 267, 855, 849, 1813, 547, 670, 8582, 789, 960, 910, 10877, 920, 839, 3625, 11158, 5174, 1769, 547, 2061, 519, 2960, 25017, 543, 8781, 267, 543, 11151, 2504, 540, 6171, 667, 799, 14014, 1996, 2860, 630, 256, 1070, 855, 713, 3947, 596, 513, 7301, 2631, 540, 3354, 547, 3251, 3544, 538, 519, 3141, 3476, 547, 581, 6534, 547, 811, 11158, 5025, 1769, 267, 799, 568, 519, 835, 602, 3123, 2960, 3441, 543, 2960, 11871, 2483, 296, 13948, 14059, 24429, 9755, 971, 607, 519, 834, 4692, 1356, 7027, 257, 827, 519, 5820, 789, 946, 538, 741, 10877, 920, 839, 267, 543, 519, 1082, 6757, 6464, 267, 9449, 27200, 6464, 630, 320, 977, 532, 5256, 11721, 24580, 10399, 610, 11178, 1599, 1070, 543, 1634, 2860, 27351, 6748, 6464, 789, 946, 269, 1358, 17792, 972, 729, 1022, 1966, 267, 5103, 1082, 3370, 2090, 593, 519, 6464, 789, 946, 4929, 891, 1072, 2360, 563, 3383, 1169, 11354, 543, 14400, 594, 1289, 873, 856, 593, 713, 267, 865, 602, 1004, 616, 3222, 543, 1810, 1405, 946, 741, 5906, 10877, 920, 839, 269, 1703, 616, 1454, 1732, 543, 10930, 3681, 2139, 563, 298, 12609, 1522, 723, 9575, 909, 609, 519, 834, 4692, 1356, 7027, 257, 538, 2904, 476, 1708, 273, 267, 950, 741, 10877, 920, 839, 1185, 11506, 2157, 540, 513, 2860, 27351, 6748, 3114, 630, 13051, 345, 2940, 264, 538, 873, 267, 543, 789, 941, 7142, 547, 1118, 713, 1344, 1857, 543, 11291, 930, 540, 741, 2472, 630, 307, 16598, 267, 476, 1708, 273, 1040, 1809, 789, 723, 1185, 891, 5906, 6464, 538, 741, 10877, 920, 839, 585, 1082, 1296, 543, 789, 1705, 4986, 269, 1280, 1383, 267, 741, 834, 22336, 1485, 257, 10877, 920, 839, 1185, 1896, 1634, 2860, 27351, 6748, 6464, 267, 6730, 1896, 9449, 16162, 4533, 532, 6464, 267, 543, 824, 6757, 6464, 267, 543, 930, 6464, 17049, 538, 824, 2477, 267, 538, 21450, 1587, 563, 22818, 607, 513, 1267, 540, 713, 4466, 267, 543, 5310, 1250, 21855, 630, 296, 9364, 899, 547, 1589, 865, 14386, 519, 9435, 7027, 4957, 519, 5820, 538, 930, 540, 741, 2472, 5063, 538, 476, 1708, 273, 269, 1924, 594, 13761, 856, 741, 2472, 543, 5820, 1586, 267, 543, 1934, 621, 568, 2483, 763, 9435, 7027, 723, 865, 1082, 811, 2472, 1631, 267, 6140, 609, 519, 1482, 6757, 5820, 538, 1142, 1587, 267, 855, 930, 7648, 1932, 269, 4256, 834, 22336, 1485, 257, 24429, 814, 835, 1447, 3114, 1631, 267, 799, 7012, 1405, 835, 602, 729, 1634, 547, 2014, 2860, 267, 855, 1705, 2014, 5778, 1729, 13877, 640, 543, 21463, 547, 10399, 269, 634, 834, 22336, 1485, 257, 1587, 1869, 3568, 476, 273, 2860, 27351, 6748, 6464, 267, 476, 273, 9449, 16162, 4533, 532, 6464, 267, 543, 835, 1373, 14124, 519, 1604, 610, 7320, 563, 296, 11567, 930, 540, 741, 824, 10877, 920, 839, 1932, 267, 1519, 741, 834, 738, 571, 257, 543, 834, 330, 1749, 257, 2472, 269, 634, 834, 738, 571, 257, 1587, 814, 1082, 811, 6464, 982, 519, 834, 22336, 1485, 257, 1587, 267, 543, 811, 6757, 1932, 267, 609, 476, 274, 2860, 27351, 6748, 6464, 267, 476, 274, 9449, 16162, 4533, 532, 6464, 267, 543, 476, 274, 799, 616, 6757, 547, 519, 1604, 543, 7320, 563, 763, 9435, 7027, 781, 834, 330, 1749, 257, 1587, 814, 519, 1482, 1297, 540, 6464, 607, 519, 834, 738, 571, 257, 1587, 267, 609, 1034, 1373, 519, 1482, 267, 543, 5627, 476, 273, 2860, 27351, 6748, 6464, 267, 476, 273, 9449, 16162, 4533, 532, 6464, 267, 855, 476, 274, 799, 616, 6757, 547, 519, 1604, 610, 7320, 269, 1403, 596, 1185, 1453, 267, 1131, 596, 2731, 2322, 713, 593, 873, 1631, 888, 763, 9435, 7027, 568, 1134, 3957, 3884, 1405, 621, 1862, 4946, 2860, 27351, 6748, 6464, 547, 741, 2472, 799, 616, 9277, 547, 2061, 2860, 267, 855, 2965, 4929, 621, 3079, 563, 1607, 2376, 2982, 519, 2956, 540, 2141, 10992, 519, 5820, 543, 6464, 711, 1175, 538, 707, 3536, 267, 855, 1018, 596, 2322, 593, 707, 2960, 269, 1548, 596, 2322, 593, 707, 2960, 568, 3335, 12842, 883, 707, 1560, 563, 299, 3089, 1176, 972, 616, 1732, 543, 10930, 2081, 547, 2061, 2960, 11871, 267, 1510, 519, 21084, 540, 2635, 3141, 4598, 602, 596, 991, 585, 6171, 667, 543, 824, 1072, 2640, 267, 543, 1510, 1373, 6534, 547, 6757, 543, 5739, 6464, 563, 4692, 1356, 7027, 269, 630, 1708, 273, 1040, 6129, 338, 920, 839, 269, 8158, 476, 866, 628, 5437, 476, 1708, 273, 689, 4179, 2517, 4178, 269, 4754, 1356, 322, 1735, 15078, 7749, 3820, 28898, 270, 3712, 27928, 4882, 12584, 10547, 454, 763, 8427, 6153, 338, 10029, 630, 307, 16598, 1040, 630, 1708, 273, 1040, 13038, 6129, 338, 920, 839, 31962, 910, 8899, 2157, 540, 22904, 2940, 9571, 269, 8158, 476, 736, 628, 5437, 476, 1708, 273, 689, 4179, 2517, 4178, 6745, 8615, 10993, 28898, 270, 531, 1068, 8276, 738, 2118, 1606, 12584, 920, 839, 29627, 718, 268, 869, 7400, 338, 1532, 20044, 2940, 1673, 25018, 539, 0, 296, 1424, 568, 513, 17784, 3463, 602, 5222, 519, 7098, 19392, 267, 2773, 267, 543, 7829, 540, 606, 8484, 269, 2755, 519, 6937, 540, 476, 6005, 616, 12649, 543, 8947, 1282, 12681, 13995, 543, 2866, 267, 519, 2010, 540, 476, 6005, 267, 2404, 2825, 2175, 543, 741, 5222, 616, 4502, 556, 23724, 1746, 563, 288, 518, 19392, 281, 30733, 12526, 1223, 1331, 6777, 267, 4672, 267, 543, 15470, 602, 28148, 1860, 519, 8484, 676, 4227, 12740, 543, 2810, 8749, 269, 2311, 10047, 3432, 630, 309, 337, 1070, 519, 8484, 949, 711, 581, 10451, 6190, 12740, 585, 1491, 4752, 543, 519, 12209, 616, 11630, 547, 588, 16226 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 19417, 815, 4463, 454, 453, 19677, 4732, 16577, 815, 2627, 454, 453, 19677, 15630, 11854, 539, 263, 273, 269, 271, 994, 453, 19677, 15630, 291, 3925, 263, 12690, 26509, 6134, 263, 271, 267, 476, 273, 269, 271, 2608, 2979, 32564, 4917, 28768, 22592, 1205, 11854, 539, 4311, 2187, 453, 16596, 1582, 4732, 32497, 454, 28768, 22592, 1305, 11854, 539, 4311, 267, 3432, 2187, 453, 19677, 4732, 32497, 815, 3432, 454, 28768, 22592, 1205, 291, 3925, 4311, 2187, 453, 16596, 1582, 6155, 597, 454, 28768, 22592, 1305, 291, 3925, 4311, 267, 4287, 2187, 453, 19677, 6155, 597, 815, 4287, 454, 28768, 22592, 1205, 309, 601, 6290, 4311, 2187, 453, 453, 341, 271, 815, 1582, 4732, 32497, 2608, 2979, 269, 6523, 4311, 6155, 597, 994, 453, 453, 341, 272, 815, 1582, 4732, 32497, 2608, 2979, 4732, 514, 4311, 6155, 597, 994, 453, 16596, 1496, 341, 271, 267, 642, 272, 2639, 28768, 22592, 1305, 309, 601, 6290, 4311, 267, 642, 2187, 453, 19677, 6155, 597, 815, 2979, 269, 27979, 273, 17635, 314, 272, 3910, 642, 314, 271, 7481, 453, 19677, 4732, 32497, 815, 2979, 28460, 17635, 314, 271, 316, 1262, 273, 1341, 642, 314, 272, 316, 1262, 273, 994, 28768, 22592, 1205, 303, 3789, 4311, 2187, 453, 16596, 1582, 11859, 344, 454, 28768, 22592, 1305, 303, 3789, 4311, 267, 1535, 267, 586, 2187, 453, 453, 343, 815, 3193, 263, 271, 267, 1295, 4311, 4732, 16577, 10947, 318, 12296, 19572, 1535, 4917, 453, 453, 344, 815, 3193, 263, 271, 267, 1295, 4311, 4732, 16577, 10947, 318, 19417, 19572, 586, 4917, 453, 19677, 11859, 344, 815, 1496, 343, 267, 586, 2639, 28768, 22592, 2721, 4311, 2187, 453, 453, 5550, 815, 27368, 10611, 624, 4311, 11859, 344, 314, 271, 316, 910, 1582, 9884, 5954, 1315, 476, 273, 269, 271, 267, 1582, 11859, 344, 314, 272, 316, 910, 1582, 269, 19417, 1315, 476, 273, 269, 271, 267, 1582, 9884, 5954, 267, 1582, 269, 19417, 994, 453, 19677, 4732, 16577, 269, 4565, 527, 4311, 269, 13548, 267, 6439, 994, 8931, 825, 1219, 25483, 4311, 267, 27010, 2187, 1038, 642, 815, 1582, 10947, 309, 601, 6290, 4590, 453, 453, 15383, 815, 1582, 10947, 303, 3789, 4590, 453, 453, 15383, 314, 271, 316, 6834, 642, 314, 271, 2639, 453, 453, 15383, 314, 272, 316, 6834, 642, 314, 272, 2639, 453, 19677, 15630, 303, 3789, 3287, 344, 314, 271, 3910, 27976, 314, 272, 7481, 453, 453, 258, 30770, 519, 3845, 547, 519, 3077, 563, 453, 453, 23251, 815, 27883, 307, 13759, 10947, 303, 3789, 314, 271, 316, 910, 27976, 314, 271, 25818, 630, 307, 13759, 10947, 303, 3789, 314, 272, 316, 910, 27976, 314, 272, 8079, 2639, 1038, 1253, 306, 336, 815, 630, 307, 13759, 10947, 303, 3789, 314, 271, 316, 910, 27976, 314, 271, 8079, 1262, 273, 1341, 630, 307, 13759, 10947, 303, 3789, 314, 272, 316, 910, 27976, 314, 272, 8079, 1262, 273, 454, 1038, 952, 1253, 306, 336, 2999, 476, 3953, 1262, 273, 543, 12297, 5560, 267, 341, 264, 3436, 271, 543, 12297, 5560, 267, 27010, 10947, 309, 601, 6290, 264, 2999, 476, 271, 912, 4848, 453, 2675, 531, 541, 815, 476, 273, 269, 271, 2608, 630, 341, 314, 271, 316, 2608, 546, 314, 271, 316, 1341, 642, 314, 272, 316, 2608, 546, 314, 272, 8079, 1315, 630, 323, 314, 271, 316, 2608, 546, 314, 271, 316, 1341, 546, 314, 272, 316, 2608, 546, 314, 272, 7481, 4848, 453, 341, 815, 1496, 341, 314, 271, 316, 910, 22185, 2608, 546, 314, 271, 3910, 642, 314, 272, 316, 910, 22185, 2608, 546, 314, 272, 27663, 4848, 453, 2675, 531, 541, 815, 476, 273, 269, 271, 2608, 630, 307, 13759, 10947, 309, 601, 6290, 314, 271, 316, 2608, 546, 314, 271, 316, 1341, 27010, 10947, 309, 601, 6290, 314, 272, 316, 2608, 546, 314, 272, 8079, 1315, 630, 323, 314, 271, 316, 2608, 546, 314, 271, 316, 1341, 546, 314, 272, 316, 2608, 546, 314, 272, 7481, 4848, 453, 307, 13759, 10947, 309, 601, 6290, 815, 1496, 307, 13759, 10947, 309, 601, 6290, 314, 271, 316, 910, 22185, 2608, 546, 314, 271, 3910, 27010, 10947, 309, 601, 6290, 314, 272, 316, 910, 22185, 2608, 546, 314, 272, 14963, 0, 11415, 815, 1412, 297, 6395, 309, 3041, 8025, 3633, 5357, 15771, 2562, 2752, 305, 4353, 2464, 2969, 300, 2839, 301, 20846, 312, 21788, 293, 6020, 21715, 297, 10292, 292, 21612, 7055, 14310, 815, 1412, 7055, 1721, 1915, 538, 5569, 912, 825, 952, 630, 30726, 2999, 1412, 320, 262, 2567, 3097, 1038, 1267, 815, 1267, 1341, 669, 337, 263, 867, 263, 30726, 264, 1341, 476, 3953, 994, 825, 3116, 912, 1038, 1267, 815, 1267, 1341, 1915, 454, 2745, 31114, 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 ]
[ 0, 18693, 12950, 7177, 1635, 667, 717, 681, 7776, 5131, 8281, 269, 4649, 16733, 307, 8008, 4917, 301, 534, 12771, 568, 3254, 547, 8115, 519, 11064, 540, 6211, 543, 2168, 9443, 676, 7311, 6289, 739, 23461, 543, 6289, 2684, 1162, 693, 1585, 4610, 540, 2257, 6902, 16887, 538, 6289, 558, 14037, 710, 543, 24519, 1759, 3075, 6765, 1949, 267, 1141, 971, 5536, 616, 540, 2101, 1719, 1496, 1321, 267, 476, 1724, 4940, 15089, 558, 17467, 666, 581, 1134, 20452, 607, 513, 1570, 609, 7306, 24132, 1063, 476, 272, 543, 476, 1911, 16354, 267, 799, 7506, 519, 4395, 4536, 540, 6289, 558, 14037, 710, 4358, 689, 19777, 839, 832, 267, 2890, 22381, 573, 923, 267, 3075, 6765, 267, 543, 2890, 6783, 4255, 547, 5160, 4702, 1496, 1691, 267, 1428, 267, 1626, 4940, 15089, 12771, 18271, 1225, 894, 8069, 693, 519, 23282, 7051, 1377, 547, 1020, 6289, 558, 14037, 1149, 269, 634, 2361, 540, 8790, 14037, 710, 16030, 6289, 11893, 12771, 267, 3075, 6765, 267, 19777, 839, 832, 267, 543, 5160, 4702, 814, 1044, 13324, 676, 20543, 1547, 1306, 20543, 17663, 2326, 2966, 693, 519, 10570, 610, 7636, 1377, 267, 789, 616, 2356, 1507, 21092, 6289, 2214, 12742, 1547, 9747, 267, 789, 666, 1847, 811, 11884, 538, 519, 1480, 1560, 607, 3379, 547, 8273, 2326, 269, 15089, 657, 7051, 21092, 5536, 8858, 2189, 7293, 267, 3114, 267, 7344, 267, 6419, 267, 5122, 267, 543, 6211, 3601, 269, 15089, 558, 14037, 1149, 723, 1831, 1134, 15874, 538, 2487, 2053, 1813, 547, 519, 1249, 602, 6289, 739, 23461, 1223, 581, 8246, 607, 6765, 8069, 676, 20206, 6819, 5061, 610, 1140, 2286, 9354, 5061, 543, 5838, 873, 547, 3077, 8031, 811, 10502, 609, 513, 6417, 5305, 1496, 1015, 267, 476, 866, 4940, 15089, 558, 14037, 710, 267, 568, 606, 6932, 2361, 7598, 519, 946, 540, 1702, 543, 2553, 540, 23282, 7220, 538, 2564, 7350, 543, 2068, 6604, 543, 32598, 269, 898, 708, 27289, 519, 13345, 540, 6289, 617, 7645, 2326, 1519, 6289, 528, 984, 1824, 267, 23282, 839, 832, 585, 5868, 267, 6765, 267, 543, 10444, 5301, 267, 543, 957, 10663, 2326, 538, 2661, 2281, 630, 8993, 269, 476, 272, 1040, 1280, 1383, 267, 513, 17560, 14835, 2861, 1505, 814, 1044, 2919, 799, 5916, 1312, 519, 2126, 543, 9196, 23857, 540, 2860, 5868, 1547, 634, 1360, 1101, 5108, 540, 17560, 14835, 2861, 3797, 3769, 20188, 1949, 899, 9067, 22199, 543, 8020, 21304, 267, 799, 616, 1631, 15111, 22190, 28508, 1547, 1452, 9067, 22199, 543, 8020, 21304, 666, 2270, 22803, 20543, 899, 4154, 610, 6419, 20543, 1547, 1452, 3601, 1577, 547, 606, 2333, 538, 519, 946, 540, 22803, 20543, 609, 606, 8561, 593, 3075, 6765, 267, 9196, 543, 519, 31706, 3252, 269, 769, 1840, 267, 6289, 739, 23461, 27333, 5351, 538, 7303, 5061, 689, 1373, 512, 7568, 1639, 538, 519, 16063, 3148, 543, 948, 519, 6765, 540, 838, 2130, 569, 1216, 30320, 5061, 547, 741, 3077, 4087, 269, 15089, 617, 2607, 338, 1397, 2362, 5711, 6915, 822, 22355, 1317, 789, 8858, 6093, 19718, 6127, 540, 4726, 696, 633, 1439, 26014, 2670, 563, 6798, 12950, 4702, 676, 546, 575, 986, 334, 1863, 4647, 269, 4649, 0, 2691, 6340, 609, 1004, 945, 616, 1007, 2681, 1235, 267, 3450, 873, 875, 547, 3589, 3803, 454, 24038, 814, 1831, 4101, 1813, 547, 1018, 594, 3494, 547, 581, 1134, 10784, 2105, 2943, 11234, 454, 309, 3041, 308, 3201, 19845, 27073, 5058, 281, 1411, 786, 991, 513, 1804, 12826, 269, 476, 275, 11680, 540, 4672, 267, 476, 275, 910, 476, 277, 11680, 540, 454, 19447, 6579, 5058, 4826, 269, 589, 6109, 3349, 799, 3025, 666, 1294, 269, 623, 1054, 1245, 619, 547, 3180, 519, 1494, 454, 1993, 14495, 1216, 563, 303, 712, 782, 519, 4672, 883, 519, 1804, 12826, 269, 3767, 267, 7444, 1039, 519, 14495, 1216, 547, 519, 4672, 269, 9105, 519, 454, 257, 29324, 257, 547, 7747, 713, 543, 547, 2995, 596, 1018, 789, 1294, 8345, 1934, 907, 2483, 15477, 9654, 302, 4785, 14877, 281, 634, 594, 4753, 568, 631, 5085, 16249, 269, 634, 834, 19447, 6579, 5058, 257, 1216, 3587, 16830, 543, 568, 1100, 454, 14075, 518, 693, 519, 21398, 6579, 5058, 18161, 19860, 269, 23099, 634, 10979, 814, 4299, 519, 14495, 1216, 269, 634, 14495, 1216, 814, 4299, 519, 4672, 19601, 16485, 519, 1053, 547, 1589, 585, 513, 4090, 267, 6236, 602, 519, 4672, 568, 2067, 4158, 4552, 2681, 269, 1656, 267, 602, 519, 14495, 1216, 568, 513, 12094, 540, 1769, 8628, 4552, 2681, 269, 594, 3972, 602, 4166, 267, 2576, 538, 1362, 786, 4063, 602, 519, 1267, 568, 12341, 14402, 982, 519, 4158, 4552, 649, 454, 11034, 539, 609, 267, 543, 602, 519, 1769, 4552, 2681, 814, 4299, 602, 4158, 4552, 907, 855, 602, 519, 1267, 454, 529, 10691, 607, 1769, 607, 519, 1259, 519, 2681, 729, 3989, 593, 519, 10189, 269, 5990, 19419, 17109, 4959, 454, 306, 6865, 11246, 295, 16730, 5442, 645, 4953, 25446, 2894, 519, 2067, 4552, 2681, 543, 519, 14402, 2681, 799, 729, 454, 1952, 29736, 547, 519, 4552, 563, 20332, 1377, 269, 7132, 269, 5426, 540, 22458, 7822, 4294, 2807, 5410, 891, 1927, 543, 1205, 513, 1297, 454, 12648, 602, 1297, 543, 7941, 621, 676, 476, 273, 2807, 8946, 2969, 568, 519, 3803, 4611, 1377, 540, 519, 4552, 563, 3383, 281, 1323, 1383, 281, 7849, 4552, 568, 1377, 476, 274, 630, 4364, 1756, 6960, 1040, 596, 4019, 513, 2681, 540, 1377, 476, 276, 630, 23409, 652, 9466, 1040, 476, 274, 7132, 476, 276, 815, 476, 279, 269, 19147, 713, 676, 476, 273, 1862, 634, 3803, 1377, 540, 519, 4552, 568, 1377, 454, 275, 267, 630, 23409, 9466, 1916, 763, 17354, 4320, 6927, 2484, 1447, 982, 596, 723, 1044, 25009, 1862, 811, 593, 602, 4947, 4166, 512, 1934, 593, 21861, 3687, 288, 6113, 328, 5025, 961, 16966, 256, 645, 0, 6624, 1004, 798, 711, 4628, 1174, 519, 3604, 1063, 9268, 543, 796, 15263, 539, 3536, 267, 543, 789, 616, 711, 607, 2241, 543, 834, 18872, 543, 3043, 257, 607, 649, 1131, 899, 873, 547, 581, 269, 23883, 950, 649, 2911, 827, 519, 22394, 2012, 834, 15263, 539, 257, 2507, 1548, 1281, 713, 1611, 888, 763, 10539, 2501, 5631, 689, 519, 1249, 602, 649, 1419, 946, 519, 2165, 1412, 15263, 539, 262, 1426, 547, 2911, 827, 1875, 32103, 267, 5739, 26437, 3536, 593, 519, 2344, 543, 538, 3728, 1426, 14060, 269, 901, 538, 2490, 5012, 547, 519, 3932, 602, 2899, 513, 1426, 568, 9268, 267, 621, 568, 8850, 5739, 269, 1809, 621, 781, 711, 899, 602, 2336, 20007, 1227, 267, 952, 513, 1426, 568, 12012, 538, 1022, 1259, 689, 922, 3312, 1106, 267, 621, 568, 2808, 9268, 910, 26759, 269, 519, 28777, 5779, 568, 9268, 1317, 621, 568, 1100, 3476, 6151, 269, 4425, 6150, 12277, 616, 849, 9268, 267, 3092, 269, 7498, 7212, 1082, 9268, 3536, 666, 581, 543, 616, 5739, 267, 711, 782, 616, 269, 1656, 1175, 1317, 1945, 814, 1044, 556, 1740, 539, 3085, 1405, 8209, 1611, 621, 781, 3983, 563, 3383, 267, 538, 1931, 547, 16174, 1919, 1732, 267, 649, 786, 7941, 9268, 3536, 883, 30194, 9268, 630, 322, 10541, 267, 585, 1383, 264, 543, 4628, 9268, 630, 6518, 649, 786, 5631, 2911, 827, 1934, 1040, 1284, 786, 849, 1413, 538, 811, 1469, 693, 519, 3604, 1063, 9268, 543, 796, 15263, 539, 3536, 267, 519, 2601, 789, 2291, 543, 1018, 741, 5383, 543, 11393, 616, 563, 31088, 539, 1426, 2488, 3606, 3354, 454, 3080, 540, 519, 1034, 1713, 5383, 540, 9268, 1426, 568, 602, 621, 568, 4443, 547, 4558, 269, 898, 2488, 3354, 538, 2053, 540, 6433, 1317, 621, 568, 10464, 547, 3132, 267, 4444, 543, 666, 581, 6740, 585, 513, 1279, 942, 269, 3502, 1152, 602, 910, 1426, 4393, 1281, 711, 2141, 1611, 513, 21324, 538, 922, 2298, 269, 2201, 519, 14669, 910, 3006, 519, 6587, 568, 3020, 269, 14409, 666, 2087, 519, 2298, 267, 8244, 267, 6940, 267, 8244, 540, 513, 1426, 267, 543, 693, 519, 1482, 942, 666, 2087, 922, 9422, 3601, 563, 1607, 568, 513, 1390, 5413, 267, 2523, 538, 25013, 2694, 540, 519, 1158, 267, 1141, 1569, 547, 1426, 568, 3908, 267, 2883, 3255, 616, 8766, 543, 835, 540, 519, 1292, 2042, 540, 519, 2551, 972, 568, 22926, 269, 3509, 2477, 538, 4000, 616, 513, 6093, 1383, 540, 713, 563, 258, 2635, 543, 4190, 454, 4415, 713, 2376, 649, 786, 2132, 811, 610, 1447, 547, 930, 540, 519, 2596, 3741, 540, 2635, 543, 3811, 2597, 2530, 269, 8666, 281, 13535, 3873, 5549, 269, 1315, 5667, 680, 1662, 2060, 713, 2376, 649, 786, 2132, 811, 610, 1447, 547, 930, 540, 519, 2596, 3741, 540, 2635, 543, 3811, 2597, 2530, 269, 1403, 5063, 4429, 31088, 539, 3536, 543, 741, 1198, 593, 1072, 454, 8170, 1576, 267, 594, 267, 899, 1034, 3988, 540, 519, 5816, 267, 2661, 538, 2484, 811, 2919, 610, 1134, 31465, 2804, 2477, 267, 1141, 22926, 568, 711, 513, 1966, 269, 3973, 267, 585, 1004, 899, 721, 267, 568, 972, 1022, 4324, 693, 782, 689, 4189, 9268, 3536, 607, 851, 540, 938, 2732, 267, 610, 666, 621, 1152, 22009, 938, 1072, 543, 4137, 888, 14582, 10079, 621, 610, 711, 267, 1256, 1004, 538, 811, 4359, 267, 2919, 2477, 666, 1491, 5413, 540, 9268, 3536, 593, 741, 10624, 1510, 20468, 827, 741, 1072, 563, 1103, 1249, 267, 9268, 3536, 4805, 616, 711, 5739, 547, 596, 952, 596, 1810, 1405, 936, 4777, 621, 269, 634, 1966, 568, 602, 713, 1826, 540, 1426, 2356, 4523, 4010, 713, 910, 585, 513, 1297, 540, 4128, 267, 543, 1317, 540, 519, 15116, 885, 540, 922, 9422, 5888, 543, 7907, 267, 621, 568, 811, 2352, 547, 2893, 23847, 609, 621, 543, 31952, 805, 811, 3362, 269, 1656, 713, 5012, 547, 2942, 2242, 538, 1560, 5888, 543, 21324, 540, 1072, 538, 519, 1279, 2196, 563, 4913, 267, 950, 513, 9793, 2179, 540, 9268, 1426, 568, 3769, 538, 606, 6382, 27357, 267, 2635, 2732, 2732, 543, 1034, 11932, 910, 606, 3617, 1455, 1608, 7595, 6981, 585, 519, 1554, 267, 922, 4616, 786, 711, 28148, 1860, 519, 1560, 563, 1607, 568, 1317, 519, 1608, 7595, 3666, 538, 519, 1560, 11887, 922, 5888, 267, 543, 519, 5888, 540, 519, 1560, 7494, 5540, 1072, 563, 3383, 952, 519, 2698, 1297, 7608, 8477, 585, 519, 1554, 568, 896, 1852, 630, 514, 3666, 267, 538, 5826, 610, 538, 606, 3617, 17211, 610, 21045, 267, 6606, 538, 2597, 2530, 610, 2333, 538, 4887, 2527, 1070, 519, 5551, 2635, 267, 3337, 569, 1560, 666, 581, 6913, 267, 1256, 952, 649, 3548, 9268, 1426, 538, 938, 2732, 689, 942, 547, 942, 563, 4913, 267, 4189, 2898, 9268, 3536, 610, 1804, 5666, 540, 873, 568, 711, 513, 1434, 2856, 269, 2334, 781, 1946, 912, 11795, 3720, 538, 519, 5888, 540, 25050, 19153, 538, 9268, 543, 796, 15263, 539, 3536, 563, 8133, 267, 9268, 3536, 666, 581, 9268, 547, 1732, 2270, 610, 11677, 741, 5567, 267, 855, 713, 568, 711, 519, 2013, 609, 1034, 3536, 593, 519, 2344, 563, 1103, 1249, 267, 2687, 547, 2090, 267, 1034, 9268, 26437, 3536, 593, 519, 2344, 616, 28811, 538, 25050, 19153, 630, 10903, 7530, 15800, 6886, 1040, 634, 811, 9268, 513, 1426, 568, 267, 519, 1447, 25050, 19153, 543, 6775, 621, 3568, 563, 3383, 267, 1247, 519, 6981, 540, 9268, 3536, 267, 538, 606, 6382, 6417, 7154, 267, 568, 711, 513, 1966, 585, 519, 2949, 5888, 543, 1072, 540, 519, 1560, 267, 1287, 25919, 7357, 593, 621, 666, 1291, 547, 513, 1297, 540, 28119, 2175, 1813, 547, 4389, 6981, 540, 25050, 19153, 563, 11795, 3720, 538, 519, 25294, 1761, 540, 9268, 543, 796, 15263, 539, 1426, 454, 2252, 649, 1491, 607, 606, 1383, 513, 1353, 593, 1426, 2893, 328, 1214, 267, 799, 19776, 513, 1804, 1297, 543, 513, 2647, 2039, 540, 3536, 267, 649, 786, 1294, 602, 519, 1655, 2893, 328, 1214, 568, 6913, 609, 796, 15263, 539, 2898, 9274, 267, 543, 519, 1034, 2352, 547, 2893, 23847, 609, 4628, 9268, 3536, 563, 5804, 513, 2893, 328, 1214, 1448, 540, 2070, 267, 2705, 267, 711, 782, 9268, 3536, 616, 1202, 520, 4192, 269, 589, 1434, 1383, 540, 513, 3810, 9268, 1426, 267, 799, 267, 2705, 267, 25389, 1134, 543, 3622, 814, 513, 1434, 9422, 5888, 267, 568, 2898, 22596, 18437, 630, 4944, 698, 515, 26152, 267, 18437, 267, 3092, 13776, 799, 538, 519, 1657, 1353, 15824, 1454, 1732, 982, 513, 1297, 540, 796, 15263, 539, 3536, 269, 594, 849, 1331, 835, 538, 1250, 7218, 262, 20816 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 307, 514, 15183, 538, 519, 10854, 6390, 5617, 527, 2426, 11866, 723, 1044, 23699, 585, 827, 513, 4627, 1296, 269, 11374, 519, 1615, 340, 766, 540, 513, 476, 1960, 280, 12080, 540, 11780, 543, 12752, 31885, 602, 17646, 568, 711, 606, 13143, 6221, 547, 581, 16913, 543, 14931, 267, 519, 7813, 320, 1036, 550, 9783, 513, 31885, 4758, 10479, 585, 519, 1004, 547, 9553, 17646, 538, 476, 1220, 272, 269, 9182, 267, 834, 684, 935, 14846, 15183, 257, 630, 339, 3711, 836, 13504, 517, 341, 20378, 1070, 519, 2165, 1031, 547, 4766, 2199, 1507, 8397, 17646, 15183, 267, 723, 9450, 3648, 2094, 476, 1220, 271, 269, 634, 5599, 2238, 2333, 519, 5763, 540, 519, 1004, 267, 855, 789, 6175, 2825, 6617, 269, 5510, 17060, 5599, 814, 4389, 1216, 2298, 607, 2698, 19729, 17571, 723, 2799, 543, 9063, 8519, 282, 2242, 538, 519, 26026, 539, 723, 3361, 2242, 538, 536, 5460, 545, 18508, 267, 21426, 543, 28506, 2023, 4763, 543, 606, 2799, 9019, 4994, 540, 14147, 18625, 543, 741, 2404, 3165, 269, 634, 1297, 540, 3165, 9575, 538, 519, 21369, 5599, 3135, 814, 8519, 269, 769, 1633, 5599, 2534, 814, 4389, 3037, 12680, 543, 18508, 543, 21426, 4763, 269, 769, 1633, 5599, 814, 4389, 519, 1297, 540, 2043, 267, 2249, 543, 2030, 3885, 269, 769, 930, 2127, 267, 10363, 5599, 3123, 17160, 538, 519, 24925, 4005, 543, 14796, 9897, 543, 13123, 269, 17502, 1470, 20300, 6281, 1239, 941, 6394, 689, 1585, 4609, 593, 10854, 6390, 6816, 998, 513, 3332, 2689, 269, 769, 1840, 547, 16283, 7029, 543, 2797, 786, 593, 519, 851, 540, 519, 2199, 543, 3084, 6608, 267, 513, 1970, 1377, 540, 1876, 11268, 4667, 547, 581, 513, 8789, 3815, 538, 519, 1970, 2825, 4656, 269, 1452, 4681, 949, 581, 1031, 547, 17108, 519, 9553, 19479, 1982, 3323, 676, 519, 4102, 17646, 5599, 2754, 269, 901, 1957, 9414, 930, 3255, 543, 8925, 563, 31572, 519, 8739, 20300, 1764, 540, 17646, 5599, 593, 10854, 6390, 6816, 267, 12868, 910, 7041, 585, 19479, 454, 301, 4669, 10937, 27256, 267, 661, 269, 1299, 3397, 755, 2088, 267, 674, 269, 630, 1001, 276, 1040, 19737, 519, 8739, 20300, 1764, 540, 17646, 5599, 593, 10854, 6390, 6816, 267, 12868, 910, 7041, 585, 19479, 269, 769, 589, 11065, 269, 18539, 4471, 267, 631, 269, 570, 756, 321, 9116, 267, 700, 269, 27517, 1846, 5652, 267, 1299, 667, 269, 8709, 2098, 2643, 630, 32295, 13776, 18619, 540, 519, 476, 1015, 628, 4139, 10985, 593, 17719, 1849, 3837, 269, 27084, 300, 710, 12458, 26894, 10418, 585, 2983, 727, 2559, 923, 267, 26551, 630, 653, 269, 476, 279, 1704, 268, 279, 2918, 1040, 0, 8893, 4643, 281, 19791, 543, 8562, 636, 325, 3720, 540, 19449, 3380, 9119, 454, 1607, 3992, 1544, 2882, 519, 6859, 267, 23944, 28987, 267, 543, 608, 7501, 540, 519, 3992, 3450, 1053, 875, 547, 1265, 519, 1858, 543, 519, 18592, 540, 513, 5858, 2016, 922, 8953, 610, 8006, 543, 875, 547, 9305, 1312, 519, 1858, 543, 18592, 547, 4194, 1585, 2042, 563, 10743, 786, 581, 2111, 547, 454, 268, 1265, 519, 18592, 540, 513, 5858, 2016, 922, 8953, 610, 8006, 267, 610, 13030, 17930, 2676, 268, 1265, 519, 1858, 540, 513, 5858, 2016, 922, 8953, 267, 8006, 267, 610, 18592, 267, 610, 13030, 17930, 2676, 268, 1265, 519, 2127, 543, 4931, 325, 3720, 540, 5546, 9112, 1210, 10580, 267, 12931, 597, 3380, 267, 610, 10116, 10580, 2676, 268, 4194, 1483, 3734, 2042, 5473, 519, 2127, 543, 4931, 325, 3720, 540, 10580, 563, 10743, 1058, 2907, 581, 5432, 609, 454, 268, 1018, 513, 5858, 568, 543, 7114, 922, 8953, 543, 8006, 2676, 268, 1483, 2338, 543, 4238, 593, 873, 563, 10743, 786, 711, 3382, 454, 268, 476, 274, 291, 5546, 269, 0, 11795, 2159, 625, 609, 13125, 1154, 568, 2731, 1455, 609, 5778, 323, 1853, 7217, 1004, 269, 901, 1522, 581, 1317, 540, 10444, 4128, 610, 3747, 21084, 269, 1284, 4312, 4547, 1927, 930, 2656, 4388, 602, 3237, 543, 1416, 3464, 689, 938, 9365, 2146, 723, 3838, 609, 1142, 824, 563, 5278, 5778, 323, 1853, 7217, 1453, 723, 513, 4389, 2631, 540, 954, 334, 4003, 267, 799, 2306, 621, 2352, 585, 873, 547, 917, 950, 789, 991, 547, 979, 547, 519, 16003, 1317, 789, 3668, 519, 4835, 5401, 269, 898, 666, 1745, 24858, 585, 873, 547, 581, 16111, 5143, 547, 979, 547, 519, 16003, 950, 789, 1810, 1406, 1589, 789, 991, 547, 267, 543, 666, 581, 8449, 24858, 585, 519, 4079, 1472, 873, 547, 723, 547, 4308, 609, 6727, 26525, 16003, 2115, 610, 10913, 563, 1607, 949, 581, 1500, 811, 18476, 1282, 2053, 540, 2566, 267, 950, 10444, 4393, 7965, 666, 1831, 811, 11342, 267, 543, 5778, 323, 1853, 7217, 1004, 949, 1745, 811, 6213, 547, 10444, 15128, 982, 8912, 563, 16605, 547, 513, 6296, 454, 2108, 16352, 513, 13125, 1154, 6296, 585, 938, 8250, 2731, 5280, 607, 621, 1175, 2968, 851, 540, 1018, 1352, 1705, 1169, 1554, 269, 1284, 3893, 1200, 547, 979, 547, 519, 16003, 1354, 1142, 7594, 543, 1354, 5127, 269, 901, 814, 5280, 2527, 1947, 538, 4227, 10913, 630, 663, 814, 3893, 7759, 540, 1034, 540, 519, 16003, 5829, 7440, 607, 1134, 14386, 7536, 307, 1779, 547, 1200, 827, 621, 454, 14071, 1336, 519, 1523, 540, 513, 2048, 339, 716, 673, 649, 324, 685, 513, 3730, 835, 630, 628, 3471, 547, 9791, 344, 14386, 1107, 865, 1631, 1256, 952, 938, 8250, 3085, 1406, 1589, 1352, 2115, 547, 979, 267, 1352, 786, 1631, 723, 513, 2119, 1354, 649, 979, 856, 269, 901, 814, 1500, 513, 5458, 3017, 3034, 7476, 1153, 593, 4604, 454, 16352, 519, 1153, 3238, 538, 11488, 707, 8004, 547, 519, 16003, 693, 2547, 2899, 1282, 519, 1554, 267, 610, 2348, 513, 6101, 13125, 1154, 1544, 666, 2731, 948, 563, 8794, 6632, 530, 6346, 630, 6518, 979, 538, 519, 10822, 267, 2760, 1166, 19813, 1070, 666, 948, 267, 607, 666, 9849, 17309, 269, 2368, 3885, 1577, 741, 30751, 946, 513, 14927, 1166, 14128, 610, 23431, 12308, 530, 6346, 3079, 563, 18455, 5423, 547, 948, 26763, 543, 7654, 4019, 513, 8645, 971, 607, 14181, 665, 8145, 267, 7488, 540, 1200, 2085, 267, 786, 948, 547, 2569, 519, 8458, 540, 15319, 1145, 543, 3968, 563, 303, 20094, 938, 2146, 14560, 454, 288, 2462, 982, 5652, 537, 547, 782, 938, 2385, 270, 3249, 337, 2146, 585, 782, 707, 7418, 2336, 18794, 938, 2146, 281, 3776, 4357, 9365, 1895, 568, 585, 4687, 4388, 543, 547, 1921, 1107, 621, 779, 585, 3237, 610, 1416, 3464, 540, 5778, 323, 1853, 7217, 6690, 610, 4008, 3309, 1762, 1004, 538, 5045, 7178, 4789, 563, 2710, 596, 723, 1022, 8292, 610, 10372, 547, 1039, 286, 7490, 4757, 4757, 11333, 2593, 543, 649, 3580, 1832, 21130, 713, 2985, 2336, 4322, 2472, 616, 5227, 676, 938, 2146, 267, 855, 2472, 616, 711, 28337, 609, 610, 5227, 676, 3026, 517, 291, 24387, 693, 782, 269, 7490, 1294, 938, 771, 25068, 1934, 269, 0, 24127, 476, 4510, 267, 17136, 476, 277, 267, 4873, 476, 1001, 280, 454, 19878, 773, 717, 3234, 26684, 267, 700, 14149, 454, 763, 2806, 9646, 618, 540, 2672, 20141, 14904, 454, 303, 1886, 7859, 540, 552, 30984, 543, 19443, 11980, 2303, 602, 2831, 616, 5701, 1732, 982, 3425, 1317, 649, 666, 968, 1584, 1524, 892, 2831, 950, 789, 1831, 561, 877, 267, 7210, 267, 610, 2025, 269, 27259, 2259, 2882, 552, 30984, 607, 513, 11587, 547, 31945, 2831, 945, 616, 7092, 269, 4208, 798, 649, 711, 798, 713, 547, 3425, 286, 8567, 814, 519, 17046, 2626, 269, 2696, 2813, 1480, 7919, 538, 1010, 3239, 267, 1655, 12976, 15683, 593, 721, 602, 568, 711, 1759, 593, 938, 5759, 610, 16169, 269, 634, 15713, 18971, 540, 938, 1390, 4182, 6444, 519, 1582, 17272, 1211, 5168, 602, 782, 1480, 7919, 968, 732, 2813, 3160, 267, 602, 789, 616, 1439, 15735, 676, 741, 29763, 609, 1978, 796, 531, 1329, 762, 2924, 267, 602, 1851, 891, 616, 1272, 1848, 22206, 1359, 543, 21341, 593, 1866, 267, 4061, 267, 1281, 711, 2014, 1480, 7919, 547, 6336, 741, 7915, 15683, 267, 6862, 1281, 621, 17854, 2921, 1776, 1480, 1272, 610, 585, 10623, 1746, 938, 1378, 269, 0, 16914, 6342, 4755, 267, 543, 513, 5679, 18088, 13050, 5694, 666, 581, 513, 1253, 7675, 5959, 6595, 269, 6787, 621, 4386, 1282, 5026, 2238, 267, 513, 2887, 267, 610, 1022, 824, 6397, 2680, 267, 6616, 875, 547, 4431, 16425, 666, 3648, 2333, 519, 8458, 540, 9494, 519, 5694, 269, 769, 713, 5816, 2022, 267, 649, 786, 1683, 596, 609, 1900, 8386, 9912, 5528, 593, 1018, 547, 798, 952, 707, 5694, 4991, 5679, 18088, 856, 267, 4543, 596, 6330, 713, 5959, 6595, 609, 6015, 543, 1416, 563, 1432, 547, 1684, 1403, 2659, 29392, 717, 1115, 12928, 18088, 4934, 454, 1103, 519, 2680, 540, 513, 5679, 18088, 13050, 5694, 267, 621, 779, 1271, 547, 2611, 9350, 543, 957, 24847, 269, 5384, 568, 540, 519, 9759, 950, 621, 2501, 547, 9494, 519, 5694, 543, 2810, 519, 10171, 540, 3811, 556, 574, 8690, 566, 563, 21652, 548, 519, 29392, 609, 5516, 454, 294, 1836, 4584, 909, 519, 5694, 676, 519, 13862, 630, 1492, 851, 602, 568, 7363, 7298, 538, 519, 5023, 264, 543, 2057, 15700, 519, 3597, 269, 30047, 519, 5694, 29535, 2299, 11151, 1022, 2417, 3441, 547, 519, 3597, 2627, 610, 519, 10347, 8031, 563, 305, 20600, 519, 29392, 630, 2252, 3026, 10354, 994, 2252, 519, 5694, 568, 18660, 267, 27125, 621, 13713, 609, 5144, 610, 513, 29649, 3070, 269, 3680, 1210, 1216, 610, 1022, 7738, 8069, 607, 789, 666, 5732, 2800, 519, 10347, 2281, 593, 519, 3597, 602, 5351, 538, 556, 3430, 16670, 563, 15430, 2925, 519, 29392, 779, 7720, 626, 675, 454, 763, 5694, 2115, 547, 581, 6854, 5848, 547, 2087, 922, 8458, 540, 6668, 269, 1703, 616, 513, 1906, 2409, 547, 8190, 922, 7509, 912, 20278, 519, 5694, 1394, 883, 519, 23094, 454, 2252, 2009, 267, 2119, 9900, 556, 12133, 532, 519, 5694, 883, 922, 23094, 267, 1818, 2386, 621, 568, 6849, 519, 2953, 1259, 269, 15233, 9543, 2604, 547, 3180, 621, 538, 1747, 563, 1805, 648, 519, 5694, 538, 5144, 454, 2252, 556, 12133, 542, 3884, 1406, 15164, 267, 21477, 613, 519, 5694, 538, 513, 8708, 540, 4411, 5144, 269, 634, 5144, 2337, 2226, 519, 5694, 779, 7509, 543, 2488, 513, 5078, 1604, 585, 6283, 563, 8196, 513, 5694, 11091, 6539, 454, 21446, 8271, 267, 596, 666, 946, 513, 5694, 11091, 6539, 610, 606, 6595, 5694, 11091, 1587, 602, 568, 4481, 2966, 547, 1832, 5679, 18088, 13050, 4522, 14323, 585, 513, 2110, 1974, 563, 2252, 9039, 540, 519, 1657, 3681, 616, 2139, 267, 596, 666, 849, 1747, 519, 5694, 538, 707, 5023, 267, 23295, 1063, 707, 32336, 543, 14779, 267, 547, 1832, 621, 5848, 609, 19975, 563, 5353, 2131, 8056, 18957, 15482, 5516, 454, 11742, 568, 2565, 538, 9494, 513, 5679, 18088, 13050, 5694, 267, 865, 621, 779, 2629, 547, 3343, 3318, 5959, 1416, 5612, 269, 13555, 707, 11290, 610, 3643, 606, 6595, 5959, 16758, 607, 4166, 607, 2009, 269, 11910, 6619, 547, 1217, 873, 827, 519, 3510, 267, 4180, 789, 616, 5423, 547, 6023, 519, 6595, 16425, 563, 6944, 1503, 28563, 5338, 543, 1325, 4582, 5573, 10266, 454, 2252, 972, 568, 1022, 11702, 610, 1928, 2404, 609, 519, 5945, 267, 9900, 11116, 593, 513, 2973, 4062, 540, 12238, 2763, 610, 513, 14927, 7401, 9126, 547, 948, 1852, 519, 11702, 269, 3683, 7308, 23716, 1928, 17212, 951, 666, 581, 3144, 547, 4383, 1022, 9636, 267, 1739, 519, 5528, 3177, 563, 10287, 2659, 19239, 626, 779, 27491, 454, 5629, 596, 3914, 519, 5959, 3318, 267, 789, 786, 2708, 519, 3510, 543, 3313, 519, 1655, 1576, 540, 2962, 269, 1358, 949, 3801, 547, 556, 21553, 8690, 519, 5694, 610, 1865, 4244, 3681, 267, 971, 607, 513, 5959, 15498, 610, 8115, 267, 4470, 593, 519, 6381, 563, 7093, 1203, 633, 21474, 585, 519, 8892, 454, 4407, 10913, 616, 20437, 267, 972, 616, 930, 15324, 3800, 596, 666, 1491, 547, 2569, 519, 1981, 540, 5694, 7063, 269, 1403, 596, 4497, 538, 5026, 610, 2238, 602, 10460, 513, 2362, 1981, 540, 5959, 8194, 267, 2015, 9849, 513, 5023, 31384, 547, 2149, 707, 4522, 689, 1764, 269, 3958, 267, 8026, 1434, 5711, 9882, 543, 4509, 2834, 5959, 2638, 13522, 666, 948, 2697, 1022, 5817, 5959, 2152, 602, 949, 14020, 4522, 543, 1118, 873, 811, 11630, 547, 3441, 563, 10387, 3508, 1125, 519, 11957, 540, 12333, 15482, 5516, 454, 16987, 1329, 1424, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 634, 4661, 1996, 12876, 11780, 568, 2705, 30096, 563, 1103, 1931, 547, 2057, 2942, 5222, 593, 824, 12696, 543, 547, 6175, 519, 21341, 540, 12876, 11780, 12696, 519, 2978, 2454, 3906, 5000, 12696, 547, 4129, 1518, 741, 2504, 543, 948, 873, 547, 1569, 1007, 6990, 269, 5015, 267, 607, 594, 786, 1865, 538, 519, 1985, 3296, 267, 14669, 547, 31362, 824, 12696, 267, 12876, 11780, 814, 8329, 547, 513, 6626, 7678, 540, 1514, 4441, 543, 24501, 602, 1522, 3142, 827, 2318, 1689, 585, 782, 12696, 563, 7197, 540, 519, 9880, 540, 519, 13416, 532, 540, 12876, 11780, 2501, 2705, 689, 18793, 540, 519, 2489, 2856, 540, 4244, 4123, 269, 2290, 5855, 568, 602, 2462, 13416, 14078, 602, 1491, 851, 538, 12876, 11780, 24183, 519, 5048, 540, 12876, 11780, 563, 8489, 553, 519, 12876, 11780, 3350, 3323, 607, 513, 3350, 540, 4244, 9467, 3906, 602, 13736, 4123, 711, 2059, 18756, 3515, 543, 13934, 6671, 8013, 543, 7518, 5511, 9467, 2853, 519, 13416, 532, 540, 12876, 11780, 12857, 1007, 11051, 609, 1114, 4690, 543, 2853, 883, 12876, 11780, 563, 8489, 553, 11083, 11675, 616, 5461, 538, 2810, 519, 2640, 585, 519, 12696, 538, 519, 3162, 267, 519, 24500, 540, 13416, 14078, 899, 10060, 321, 15085, 610, 18806, 1723, 616, 676, 1100, 1797, 519, 3741, 540, 12876, 11780, 855, 547, 2333, 741, 12434, 681, 22095, 267, 901, 3017, 538, 1719, 3587, 8915, 585, 1383, 538, 519, 936, 335, 878, 532, 540, 12876, 11780, 2472, 676, 1082, 2706, 21466, 11800, 267, 602, 814, 1044, 5941, 1657, 563, 5278, 540, 519, 4130, 4244, 9467, 3906, 602, 6133, 2600, 540, 741, 6995, 12876, 11780, 12628, 856, 540, 3791, 5428, 13995, 15587, 607, 513, 3210, 547, 891, 2853, 269, 1358, 1616, 547, 31194, 593, 519, 3090, 1510, 22867, 547, 1018, 621, 6763, 585, 269, 2368, 1806, 281, 10060, 321, 15085, 267, 799, 7550, 12876, 11780, 6995, 896, 4049, 7082, 2604, 538, 335, 3420, 1078, 538, 1152, 476, 274, 269, 1306, 4425, 1054, 814, 7074, 267, 519, 7887, 10685, 3260, 518, 540, 12876, 11780, 538, 6628, 267, 519, 3213, 641, 267, 568, 693, 519, 1482, 942, 519, 7887, 18579, 540, 24307, 689, 519, 9167, 1455, 6694, 3609, 538, 519, 2197, 563, 289, 650, 966, 528, 2917, 476, 6507, 3947, 1776, 4277, 543, 10213, 1383, 281, 634, 1306, 6767, 9546, 5336, 691, 2300, 4310, 922, 6521, 2476, 689, 27126, 1034, 540, 922, 20397, 689, 1507, 11396, 538, 519, 12144, 676, 15738, 547, 922, 12876, 11780, 20397, 267, 10223, 519, 1249, 602, 621, 568, 1869, 2009, 547, 4444, 12144, 20397, 269, 898, 1705, 2705, 16401, 519, 1249, 602, 519, 12876, 11780, 20397, 1152, 1500, 909, 606, 5393, 1507, 6871, 540, 782, 519, 20397, 621, 4421, 269, 589, 1644, 1966, 609, 3594, 593, 8709, 640, 4023, 12876, 11780, 568, 519, 12623, 11496, 538, 1379, 602, 568, 2813, 676, 519, 1249, 602, 13416, 14078, 1152, 6133, 513, 1507, 6712, 540, 741, 2472, 896, 519, 6003, 11412, 731, 267, 4595, 713, 6712, 2306, 909, 513, 5458, 6871, 540, 782, 519, 12876, 11780, 6455, 267, 519, 2978, 2454, 3906, 1831, 8200, 593, 891, 6455, 267, 1247, 14078, 899, 10060, 321, 15085, 1223, 3362, 1689, 741, 9140, 4507, 563, 2252, 10060, 321, 15085, 1131, 6430, 547, 4123, 922, 476, 274, 269, 634, 2208, 540, 12876, 11780, 883, 519, 13416, 12217, 10373, 7399, 282, 855, 693, 519, 1482, 942, 621, 5932, 930, 1007, 12178, 267, 5631, 519, 14944, 1456, 540, 519, 5048, 540, 12876, 11780, 267, 519, 4023, 31290, 540, 13998, 543, 13476, 16160, 14078, 543, 2810, 21341, 540, 519, 2978, 2454, 3906, 593, 1804, 21625, 563, 763, 824, 2427, 540, 519, 2804, 1764, 12876, 11780, 814, 593, 519, 2344, 568, 922, 9940, 1379, 547, 3310, 12721, 14078, 547, 1689, 741, 9467, 2853, 3544, 540, 12876, 11780, 269, 901, 1379, 540, 12876, 11780, 568, 5631, 922, 2702, 547, 18549, 3310, 543, 1689, 519, 7375, 540, 6800, 676, 15738, 3007, 593, 519, 12696, 543, 519, 2175, 540, 2504, 543, 676, 3246, 513, 14323, 4244, 269, 634, 8739, 14426, 2242, 2404, 609, 713, 4661, 723, 1044, 9788, 856, 1657, 563, 9558, 20139, 14078, 723, 1419, 15527, 547, 7082, 7569, 543, 2604, 585, 1732, 1514, 543, 2825, 2504, 676, 19163, 602, 621, 568, 7543, 547, 1852, 519, 3003, 3761, 5832, 563, 763, 1007, 6498, 540, 11668, 267, 5473, 519, 10661, 540, 13143, 4393, 10851, 21768, 313, 338, 29514, 1016, 4186, 24219, 543, 10709, 2504, 616, 1031, 676, 570, 10998, 338, 547, 17854, 14226, 543, 2825, 9552, 607, 17149, 543, 7543, 547, 1852, 5062, 28061, 267, 12876, 11780, 2982, 538, 2259, 602, 1514, 543, 8733, 14226, 616, 711, 2067, 543, 602, 14078, 666, 1491, 5539, 267, 3976, 18445, 519, 3044, 23294, 2045, 6547, 540, 14078, 4636, 563, 2005, 568, 513, 1134, 3964, 1249, 602, 811, 543, 811, 14078, 2746, 547, 891, 2344, 12503, 543, 13346, 7082, 7375, 676, 9591, 10911, 306, 9746, 1514, 5539, 4441, 543, 676, 2870, 4808, 543, 4441, 585, 4835, 5464, 23688, 619, 321, 2795, 267, 513, 282, 536, 282, 11412, 731, 267, 10060, 321, 15085, 267, 799, 23619, 476, 274, 563, 1805, 16808, 15085, 3804, 568, 267, 607, 11609, 538, 3349, 476, 274, 267, 547, 5595, 519, 2179, 540, 6995, 21775, 896, 519, 595, 269, 7305, 476, 274, 281, 5741, 539, 2333, 540, 10060, 321, 15085, 6995, 11751, 896, 922, 1378, 6003, 595, 269, 769, 12570, 891, 7835, 835, 1101, 814, 547, 1491, 883, 2272, 519, 5393, 1164, 3902, 10060, 321, 15085, 17188, 547, 922, 12696, 269, 901, 2328, 2123, 3948, 3028, 606, 5393, 9621, 543, 5393, 2500, 1646, 563, 763, 3003, 6455, 540, 10060, 321, 15085, 267, 4421, 693, 606, 3328, 3902, 2362, 982, 12876, 11780, 267, 2179, 547, 476, 273, 1557, 593, 3028, 540, 8103, 540, 2518, 6995, 6455, 543, 616, 811, 982, 2185, 2053, 519, 2179, 540, 12876, 11780, 6995, 14468, 11451, 538, 476, 1789, 2929, 4846, 3690, 293, 1515, 7330, 267, 476, 273, 269, 898, 568, 2705, 849, 1271, 547, 1491, 513, 2673, 1413, 693, 519, 3761, 5832, 267, 547, 2007, 883, 519, 4128, 1946, 10060, 321, 15085, 1281, 711, 15186, 2333, 922, 7589, 538, 12876, 11780, 543, 547, 1294, 538, 875, 2484, 891, 1164, 5777, 616, 26788, 19042, 676, 519, 1164, 3790, 540, 3044, 10220, 547, 519, 1164, 2298, 4170, 563, 763, 1164, 3902, 10060, 321, 15085, 17188, 585, 922, 6995, 666, 14356, 581, 6045, 676, 519, 1249, 602, 10060, 321, 15085, 1152, 1207, 903, 575, 712, 5471, 6995, 609, 5393, 1164, 17271, 7907, 563, 4517, 519, 595, 563, 13625, 593, 536, 9820, 752, 6062, 4023, 454, 7712, 519, 1164, 3902, 568, 1152, 835, 540, 519, 2640, 540, 7589, 538, 12876, 11780, 267, 543, 607, 3254, 538, 519, 2013, 2090, 1657, 711, 1256, 519, 1034, 1271, 4324, 267, 782, 519, 1875, 15065, 8767, 2640, 540, 12876, 11780, 798, 1152, 13148, 4019, 547, 1346, 12696, 9513, 547, 10060, 321, 15085, 998, 922, 595, 269, 14755, 891, 3466, 547, 24183, 519, 12876, 11780, 6003, 972, 616, 5359, 540, 2042, 693, 519, 16073, 1377, 602, 7142, 1896, 24625, 2510, 547, 2736, 909, 741, 9467, 1894, 609, 10060, 321, 15085, 269, 1703, 616, 930, 1271, 12178, 538, 713, 2489, 7678, 2509, 17319, 13995, 602, 616, 1271, 547, 4628, 2708, 519, 2804, 1764, 12876, 11780, 814, 593, 519, 2344, 563, 4322, 616, 5631, 519, 1259, 1379, 1894, 538, 519, 2504, 1184, 1689, 543, 513, 8049, 19427, 1063, 519, 20116, 540, 12876, 11780, 543, 4207, 11407, 538, 8789, 5238, 269, 12876, 11780, 267, 865, 519, 4661, 267, 676, 5009, 519, 3051, 520, 5314, 540, 4441, 267, 16881, 519, 2907, 4540, 12402, 540, 519, 27757, 540, 519, 1533, 538, 2344, 6042, 269, 12876, 11780, 267, 1510, 703, 2056, 547, 798, 865, 267, 3976, 11689, 3278, 683, 565, 28515, 14051, 543, 7028, 519, 2417, 7771, 540, 1533, 1379, 547, 10038, 6990, 543, 547, 6615, 14226, 543, 2825, 9552, 563, 288, 2147, 4661, 666, 581, 1500, 593, 519, 1377, 540, 4207, 1646, 602, 4780, 2471, 609, 519, 11407, 540, 12876, 11780, 538, 606, 4277, 1259, 269, 1656, 519, 20116, 540, 519, 12876, 11780, 3350, 598, 13257, 547, 606, 4230, 15929, 4110, 609, 713, 11407, 540, 14469, 626, 683, 565, 28515, 1143, 269, 1548, 1058, 835, 1589, 827, 519, 1249, 602, 891, 2035, 616, 6964, 1312, 676, 5238, 689, 519, 8998, 1318, 899, 519, 2622, 9483, 17072, 543, 676, 519, 12876, 11780, 3350, 888, 1607, 19427, 540, 14469, 626, 683, 565, 28515, 11407, 543, 12876, 11780, 11407, 2337, 2491, 1946, 713, 1507, 3350, 540, 4244, 9467, 3906, 1223, 1847, 883, 519, 13416, 282, 1946, 1896, 2090, 4612, 12876, 11780, 607, 851, 540, 683, 565, 28515, 1143, 610, 1514, 16851, 282, 543, 1946, 971, 7986, 18793, 540, 1863, 4123, 607, 519, 3864, 8189, 543, 519, 717, 476, 279, 21895, 616, 14120, 519, 1967, 540, 4828, 593, 536, 9820, 752, 6062, 4023, 11780, 563, 1103, 1312, 2665, 910, 676, 1210, 4357, 24501, 543, 676, 14139, 513, 1978, 11407, 540, 2344, 16882, 910, 12876, 11780, 4780, 2471, 609, 4207, 5114, 776, 21274, 269, 2755, 713, 6157, 11438, 519, 12178, 540, 5885, 607, 606, 26516, 12343, 519, 3051, 520, 5314, 540, 2344, 6042, 543, 519, 24134, 543, 2067, 1436, 540, 683, 565, 28515, 11407, 267, 972, 568, 849, 519, 1761, 585, 1689, 563, 7468, 10675, 4441, 616, 711, 20244, 10353, 547, 1533, 6042, 543, 998, 922, 2797, 3646, 12876, 11780, 8362, 13290, 547, 25211, 585, 1689, 538, 519, 2797, 2344, 3652, 269, 634, 4901, 543, 2079, 540, 519, 7399, 585, 12876, 11780, 547, 17215, 3310, 519, 6671, 2344, 814, 7000, 3255, 607, 1134, 607, 12178, 269, 1703, 568, 1101, 11141, 1761, 585, 12876, 4828, 593, 8498, 4023, 538, 29907, 14994, 547, 1332, 883, 2688, 1557, 1603, 8468, 13416, 543, 547, 2047, 1689, 9467, 2853, 563, 3719, 891, 7399, 4096, 593, 519, 7589, 540, 2462, 13416, 14078, 602, 1152, 946, 12876, 11780, 547, 741, 5413, 1510, 4687, 922, 5048, 543, 2921, 519, 9021, 269, 901, 6770, 2059, 519, 12178, 540, 14944, 1456, 519, 5048, 540, 12876, 11780, 543, 540, 4742, 8200, 593, 891, 13416, 3549, 269, 19627, 676, 6029, 602, 3235, 10999, 543, 13998, 3743, 9467, 2853, 616, 2009, 12876, 11780, 568, 851, 540, 513, 811, 2489, 7903, 676, 6800, 602, 4547, 827, 519, 4473, 540, 4357, 4441, 543, 24501, 563, 1607, 1646, 538, 513, 2147, 1259, 10741, 909, 1007, 7399, 547, 6338, 1514, 543, 2825, 4441, 593, 513, 3376, 4493, 883, 519, 13416, 4346, 855, 693, 519, 1482, 942, 12217, 519, 8594, 540, 3478, 1524, 2914, 14414, 883, 703, 4920, 8001, 543, 796, 523, 4403, 762, 4441, 2000, 924, 602, 616, 3765, 1031, 676, 2462, 13416, 14078, 547, 1852, 543, 17908, 519, 3761, 5832, 538, 1007, 2081, 563, 293, 1515, 11780, 13995, 543, 519, 2489, 7678, 2509, 4357, 4441, 616, 711, 11371, 1231, 1227, 1434, 610, 3983, 269, 5637, 616, 1514, 5238, 602, 616, 4609, 540, 4655, 543, 1379, 1141, 16311, 532, 4690, 1205, 7858, 7007, 543, 10692, 856, 1063, 1114, 11051, 563, 31306, 7835, 4096, 910, 1851, 1082, 824, 1514, 4229, 910, 593, 519, 4720, 540, 12876, 11780, 269, 1452, 2188, 15983, 1404, 741, 851, 267, 855, 519, 24407, 1062, 540, 3486, 4123, 568, 20833, 3964, 543, 9738, 676, 2477, 609, 1360, 1114, 2157, 540, 1379, 563, 21413, 2469, 883, 1469, 713, 666, 581, 11609, 676, 3168, 693, 519, 24407, 3454, 1062, 543, 519, 10373, 5666, 540, 24307, 538, 519, 2518, 5087, 267, 799, 1312, 1118, 4123, 609, 6694, 2472, 1360, 2352, 585, 3384, 2477, 269, 4340, 519, 2136, 8315, 5274, 4886, 7797, 519, 3328, 29388, 1970, 13867, 2477, 267, 799, 616, 13143, 532, 547, 1164, 13867, 2477, 267, 3068, 616, 1614, 547, 2185, 2053, 2362, 982, 519, 7496, 4294, 538, 4123, 1063, 1164, 13867, 2477, 670, 11403, 267, 769, 519, 3864, 5742, 267, 585, 1383, 267, 29388, 4473, 689, 476, 271, 547, 476, 280, 2600, 593, 23342, 13594, 543, 547, 476, 1789, 2600, 593, 519, 3803, 1587, 267, 799, 6941, 1946, 476, 3445, 2600, 540, 524, 659, 7776, 10365, 616, 3812, 538, 3384, 2477, 1247, 1152, 476, 4510, 2600, 540, 23342, 4508, 528, 543, 476, 3066, 2600, 540, 23342, 8869, 18666, 22132, 538, 1346, 2477, 267, 1818, 5125, 519, 10600, 4102, 1163, 7163, 540, 524, 659, 7776, 2472, 670, 11403, 267, 3594, 593, 10677, 543, 4023, 946, 634, 796, 29207, 341, 2406, 1164, 2157, 540, 6694, 24307, 267, 2523, 538, 2342, 543, 519, 772, 563, 763, 2518, 3656, 5943, 585, 4123, 1175, 5809, 14226, 543, 519, 5007, 1436, 540, 1514 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1650, 543, 29947, 707, 4276, 547, 519, 3197, 269, 2142, 5423, 585, 9670, 4729, 23538, 267, 2295, 342, 9879, 8090, 267, 543, 1256, 15237, 329, 17064, 619, 2059, 519, 1259, 2439, 2690, 1383, 267, 1577, 781, 2161, 596, 1376, 2542, 834, 8505, 4379, 781, 654, 880, 2437, 513, 3209, 827, 513, 1164, 1153, 9972, 3957, 4201, 4379, 945, 9620, 547, 6430, 1200, 2104, 4566, 269, 1306, 596, 2490, 1142, 2985, 267, 596, 1831, 1266, 1484, 539, 538, 4201, 4379, 781, 3460, 267, 8049, 827, 1018, 6013, 6619, 269, 24664, 1176, 267, 972, 1522, 581, 811, 2835, 7996, 585, 596, 267, 11235, 547, 2671, 3606, 8941, 540, 4201, 4379, 781, 2833, 1282, 1200, 3803, 1032, 540, 1164, 1153, 269, 19196, 1746, 267, 1318, 2496, 18698, 2637, 637, 454, 1366, 19567, 20751, 962, 288, 3332, 267, 1896, 11964, 8597, 547, 3309, 4690, 269, 2913, 781, 1491, 513, 6251, 1413, 693, 513, 1906, 2442, 3283, 1384, 2162, 26135, 692, 293, 656, 6470, 10600, 1490, 21148, 609, 9059, 267, 26704, 7068, 267, 543, 22539, 8916, 786, 4734, 596, 11963, 20129, 269, 1280, 3236, 267, 16452, 25260, 781, 530, 19123, 787, 7122, 12857, 3988, 547, 28542, 267, 1494, 687, 267, 543, 12473, 12959, 1996, 4158, 4229, 269, 1403, 596, 2811, 27278, 676, 28531, 7919, 543, 824, 16447, 569, 7060, 267, 2285, 14810, 9089, 513, 2119, 780, 2162, 3163, 11470, 692, 16631, 5708, 3217, 596, 593, 13777, 22618, 16831, 1137, 4904, 609, 4359, 2029, 267, 2230, 3408, 267, 543, 14595, 7516, 269, 6333, 2542, 834, 763, 30803, 20048, 2873, 2437, 1141, 5929, 18912, 8941, 2743, 954, 6549, 12519, 7045, 538, 513, 29711, 1014, 4259, 269, 901, 9135, 7512, 7279, 827, 3621, 2035, 543, 5647, 780, 2162, 23620, 692, 305, 558, 766, 6212, 593, 3347, 267, 2648, 12730, 267, 543, 3929, 2208, 269, 26358, 899, 17555, 543, 519, 3943, 918, 1170, 23365, 596, 538, 13035, 4296, 543, 2220, 3019, 18976, 8090, 269, 1452, 2835, 4001, 3407, 4245, 827, 3972, 267, 6568, 267, 543, 2792, 1369, 17052, 543, 11509, 12352, 780, 2162, 25491, 1299, 28202, 14525, 692, 7069, 3122, 625, 1832, 596, 27378, 543, 2650, 1424, 1927, 13410, 7258, 15931, 3713, 1161, 610, 23153, 11739, 3578, 338, 269, 11531, 267, 26497, 619, 18041, 909, 519, 8082, 267, 6028, 596, 7362, 1652, 2394, 519, 1360, 2063, 2985, 269, 2290, 1390, 4781, 568, 834, 294, 821, 21756, 2437, 513, 17680, 6137, 9661, 540, 24457, 5473, 26760, 543, 12879, 269, 16259, 3054, 585, 6397, 4729, 23538, 543, 6316, 6361, 3917, 712, 5498, 520, 10761, 950, 5887, 1005, 883, 13655, 543, 26497, 619, 780, 2162, 12634, 11470, 692, 28757, 5708, 19141, 938, 2413, 2486, 267, 5466, 4143, 1514, 2152, 543, 4948, 2591, 5185, 676, 12322, 269, 12267, 899, 634, 670, 622, 772, 12315, 5031, 1271, 3584, 971, 607, 10168, 267, 7128, 30468, 267, 543, 17933, 269, 1635, 2542, 4207, 5708, 267, 596, 2744, 5813, 883, 1866, 262, 2729, 543, 1020, 8296, 585, 3309, 10080, 780, 31917, 7335, 2336, 1366, 15365, 3086, 602, 596, 723, 513, 1732, 1620, 540, 8479, 16989, 2835, 543, 741, 11964, 267, 979, 8521, 543, 7832, 593, 5339, 15322, 256, 5457, 267, 1169, 1433, 6585, 922, 1378, 2189, 19259, 267, 1175, 7996, 585, 2576, 2027, 910, 9358, 910, 547, 10625, 922, 11580, 543, 2887, 538, 2648, 609, 922, 3817, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8253, 547, 29057, 596, 610, 4376, 267, 855, 476, 1001, 277, 568, 811, 982, 3368, 936, 630, 1993, 1576, 267, 930, 540, 721, 616, 22205, 713, 3377, 1040, 1284, 4076, 2907, 17031, 909, 3368, 540, 519, 1032, 779, 962, 288, 2835, 267, 543, 1631, 621, 779, 942, 547, 1847, 593, 547, 519, 2835, 1818, 741, 5920, 593, 962, 288, 21684, 1063, 5147, 543, 519, 1439, 540, 5181, 269, 1548, 779, 8799, 827, 713, 4832, 13629, 1974, 568, 602, 621, 779, 14887, 267, 2495, 602, 596, 666, 6952, 909, 609, 519, 18061, 540, 10643, 596, 4076, 19017, 689, 4505, 538, 519, 1032, 563, 1607, 1592, 3884, 1406, 3102, 267, 1498, 621, 779, 519, 14191, 547, 513, 2407, 5180, 5346, 540, 13416, 962, 288, 5708, 13629, 936, 891, 1985, 1614, 3275, 269, 594, 4076, 3769, 3126, 10643, 267, 799, 616, 8612, 609, 513, 968, 265, 892, 22290, 873, 282, 1101, 2835, 538, 513, 1007, 3126, 594, 1705, 711, 1665, 267, 865, 596, 666, 581, 16990, 569, 14281, 2443, 610, 21616, 676, 519, 29384, 327, 13377, 2443, 952, 596, 4584, 835, 540, 1346, 909, 269, 1411, 2461, 10950, 563, 7476, 4712, 547, 1205, 707, 1224, 593, 563, 272, 269, 2608, 4201, 4379, 779, 654, 880, 676, 645, 7578, 774, 11448, 630, 20809, 476, 276, 2567, 18947, 1032, 568, 1934, 267, 543, 3025, 814, 513, 1544, 1765, 21955, 4201, 4379, 22484, 269, 1924, 1082, 21173, 268, 28695, 20068, 1470, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 10289, 7756, 9537, 540, 13088, 910, 8606, 2280, 12928, 1161, 692, 5331, 596, 2811, 593, 513, 10068, 7552, 609, 707, 1920, 269, 2991, 3108, 540, 16213, 3515, 543, 7996, 3461, 569, 267, 596, 6368, 6952, 513, 2462, 3165, 256, 1809, 1631, 2501, 519, 2182, 851, 910, 7738, 543, 8600, 519, 3165, 547, 3434, 585, 12129, 269, 901, 1184, 3340, 1210, 513, 1808, 1907, 1572, 513, 2083, 2280, 17180, 269, 4653, 267, 649, 786, 1451, 827, 713, 13561, 10051, 31942, 543, 1946, 2348, 835, 1223, 2097, 538, 13561, 1282, 707, 1985, 9205, 7045, 780, 1432, 568, 513, 8606, 2280, 12928, 1057, 888, 2411, 19567, 5970, 596, 2479, 2938, 513, 27697, 20105, 998, 6151, 9269, 610, 3165, 24672, 286, 1358, 1522, 581, 1210, 513, 2083, 2280, 17180, 256, 1452, 7463, 19059, 4183, 6094, 267, 8465, 267, 543, 1279, 19059, 2966, 547, 1350, 728, 12347, 2059, 14258, 1247, 5969, 269, 9521, 2834, 31009, 267, 2083, 2280, 31009, 948, 5094, 5779, 689, 7633, 811, 7561, 1813, 547, 741, 2189, 3337, 543, 1374, 780, 3963, 7994, 513, 8606, 2280, 12928, 1057, 888, 10900, 7042, 3086, 596, 949, 4898, 267, 834, 4692, 1405, 594, 1175, 946, 1022, 2025, 17180, 8119, 3353, 1227, 267, 9811, 269, 1717, 267, 2083, 2280, 31009, 2709, 1896, 5383, 602, 824, 2010, 1810, 1405, 1683, 269, 4256, 8112, 2636, 873, 547, 1246, 32725, 3362, 267, 1818, 5730, 11912, 1472, 7633, 2009, 269, 3958, 267, 2094, 789, 4043, 547, 581, 5857, 704, 982, 3044, 10051, 31009, 267, 596, 666, 1711, 23704, 21100, 609, 8766, 3196, 2838, 269, 1306, 513, 1267, 267, 1447, 4887, 1379, 4422, 883, 519, 4305, 693, 1688, 267, 6028, 596, 4743, 23906, 615, 1310, 11264, 519, 2816, 780, 763, 11957, 540, 7435, 548, 7822, 454, 10900, 19567, 2026, 5018, 4505, 267, 2083, 2280, 31009, 1419, 723, 6505, 20362, 865, 3755, 666, 3533, 12398, 873, 269, 5994, 3843, 547, 3314, 1141, 596, 2451, 707, 20585, 12457, 17180, 1851, 25985, 540, 22742, 3937, 269, 16319, 4101, 267, 1318, 286, 2334, 781, 1946, 1082, 9755, 1904, 585, 7524, 4778, 899, 10538, 610, 5835, 269, 3502, 1152, 1281, 621, 2061, 3765, 10293, 267, 855, 621, 849, 6971, 17140, 10478, 585, 4503, 2645, 269, 9578, 267, 945, 9327, 1405, 2648, 513, 1402, 540, 2681, 9624, 782, 1346, 9243, 18707, 1336, 538, 2470, 2496, 28885, 8606, 2280, 12928, 1161, 20553, 2659, 5020, 454, 14343, 13430, 4407, 3318, 22730, 5097, 8415, 2083, 2280, 31009, 16280, 267, 26539, 835, 607, 513, 4342, 704, 610, 13278, 2006, 814, 922, 829, 802, 1932, 269, 2060, 1697, 1416, 543, 5826, 267, 707, 3972, 344, 2083, 2280, 17180, 666, 4196, 596, 1134, 1312, 693, 1753, 543, 13964, 269, 1924, 2436, 596, 2811, 8937, 1154, 4195, 29607, 9575, 676, 519, 5757, 610, 840, 6137, 13687, 2848, 6545, 1394, 1753, 267, 1964, 21407, 6616, 707, 11684, 13959, 786, 1205, 519, 2816, 2944, 24847, 543, 9108, 780, 12244, 5384, 2336, 1366, 15365, 4131, 781, 2119, 5373, 938, 4528, 540, 513, 2083, 2280, 17180, 1759, 593, 2221, 781, 6609, 269, 5457, 547, 1039, 3877, 971, 607, 519, 3259, 540, 519, 16405, 267, 922, 22441, 267, 543, 1034, 11932, 267, 519, 29116, 11954, 6023, 256, 4495, 6192, 267, 2671, 707, 13144, 609, 15032, 543, 1865, 1018, 2306, 2083, 2280, 31009, 2189, 3379, 547, 2757, 10051, 27022, 269, 8414, 11516, 4221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 2716, 2225, 267, 8325, 1145, 267, 3501, 3666, 267, 543, 1500, 538, 519, 772, 2529, 6993, 563, 306, 675, 1922, 790, 6023, 17945, 267, 10538, 538, 2681, 281, 898, 779, 2653, 547, 1265, 2336, 288, 10715, 10018, 8992, 875, 1434, 621, 568, 1354, 6718, 563, 3528, 1280, 6135, 17384, 454, 288, 1007, 29560, 538, 1250, 10591, 4055, 1131, 9090, 5469, 602, 594, 899, 547, 2445, 31009, 269, 3962, 568, 3946, 727, 267, 543, 789, 666, 782, 2759, 3694, 267, 855, 789, 1142, 723, 513, 3483, 269, 2368, 540, 873, 616, 6378, 15918, 1228, 267, 930, 616, 24208, 31009, 267, 543, 972, 616, 20614, 31009, 563, 6546, 779, 1141, 1250, 1007, 2083, 2280, 17180, 1305, 689, 519, 12928, 1161, 540, 14522, 3357, 538, 2063, 3018, 269, 2755, 972, 616, 31009, 782, 936, 519, 4055, 267, 519, 12928, 1161, 540, 14522, 1305, 6763, 856, 585, 1434, 2601, 281, 891, 31009, 723, 513, 25433, 11399, 1052, 6023, 269, 1411, 666, 1406, 946, 1018, 596, 666, 1406, 1265, 267, 543, 621, 4667, 899, 950, 594, 723, 17705, 3165, 547, 2973, 267, 6266, 540, 873, 267, 594, 666, 2760, 1265, 1250, 2083, 2280, 17180, 269, 9046, 12193, 256, 1656, 519, 2681, 3364, 849, 8952, 621, 856, 540, 1250, 1124, 330, 2721, 518, 630, 3240, 1732, 3368, 4025, 1919, 609, 10278, 7164, 538, 1250, 1124, 330, 2721, 518, 1916, 6781, 913, 602, 267, 891, 31009, 616, 711, 8723, 269, 589, 1434, 6445, 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, 4985, 1384, 763, 1158, 540, 3381, 18297, 543, 8613, 31076, 814, 4810, 1713, 7760, 538, 2487, 1296, 267, 9141, 676, 519, 2810, 3747, 585, 1164, 7779, 3308, 2833, 269, 2290, 971, 1646, 568, 519, 11944, 540, 8299, 571, 4400, 9502, 27657, 630, 308, 8461, 29552, 1070, 6353, 676, 4824, 6571, 267, 7406, 2557, 267, 2681, 13708, 583, 267, 543, 4334, 5223, 3379, 547, 922, 21530, 25600, 899, 9208, 9502, 7641, 630, 16256, 29552, 264, 543, 4400, 9502, 7641, 630, 8461, 29552, 1040, 1717, 267, 713, 10006, 538, 3381, 535, 23474, 849, 12857, 1007, 2930, 23665, 602, 1590, 581, 9619, 547, 2327, 15774, 5610, 609, 4540, 1949, 1247, 5883, 519, 32117, 1239, 12531, 2404, 609, 891, 12043, 269, 589, 1883, 5647, 6322, 693, 21365, 891, 2152, 568, 519, 570, 1005, 8943, 322, 267, 606, 1930, 21299, 3070, 1759, 593, 519, 5767, 4400, 21252, 11473, 32017, 630, 4047, 31357, 264, 3044, 269, 769, 713, 3184, 267, 649, 5490, 883, 519, 14960, 540, 26084, 772, 8461, 29552, 2533, 9001, 519, 570, 1005, 8943, 322, 267, 3695, 922, 5817, 3741, 267, 2640, 267, 543, 3156, 1369, 1344, 14839, 8658, 780, 8139, 772, 8461, 29552, 543, 4706, 12694, 1384, 19575, 571, 4400, 9502, 27657, 4564, 519, 5969, 6316, 540, 24384, 990, 529, 783, 4159, 4066, 267, 5356, 2185, 2053, 519, 6571, 540, 2757, 476, 10482, 271, 335, 18074, 29552, 5036, 269, 898, 13315, 2789, 3344, 1519, 1384, 272, 269, 14451, 32085, 22375, 281, 2060, 513, 5934, 8880, 543, 7299, 6571, 540, 476, 29575, 271, 1535, 476, 21327, 271, 19641, 267, 772, 8461, 29552, 2488, 5857 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23538, 543, 7140, 269, 1924, 535, 612, 909, 267, 2156, 256, 15681, 721, 827, 1346, 27894, 2059, 519, 1259, 543, 875, 1312, 540, 596, 7307, 547, 6330, 998, 873, 1510, 9561, 707, 8186, 563, 1892, 1548, 616, 930, 540, 519, 3838, 4690, 610, 12348, 602, 596, 679, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27288, 15227, 24601, 717, 821, 654, 3994, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 27834, 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, 2026, 2576, 1007, 547, 938, 4541, 267, 649, 1174, 602, 3388, 1522, 3100, 14542, 693, 1101, 269, 5213, 1405, 5855, 282, 649, 3513, 3391, 596, 998, 1169, 1900, 609, 9639, 543, 9355, 780, 1262, 3721, 476, 272, 281, 4197, 1548, 11833, 31919, 1772, 4373, 5141, 889, 31919, 729, 513, 2442, 2228, 3014, 1141, 5716, 2813, 741, 1378, 533, 21315, 3197, 543, 8268, 513, 5691, 1158, 4904, 609, 3756, 267, 2828, 267, 543, 9035, 269, 5994, 513, 9589, 1747, 1141, 596, 666, 2743, 1007, 1004, 267, 1404, 1187, 2238, 1927, 267, 543, 2445, 3579, 3688, 585, 707, 1915, 2439, 24874, 11833, 31919, 4016, 4481, 547, 519, 3312, 4528, 540, 519, 3014, 267, 799, 1082, 11655, 4413, 632, 8765, 269, 3776, 5692, 568, 547, 18609, 519, 15888, 547, 2847, 633, 621, 610, 1711, 1945, 2147, 780, 1262, 3721, 476, 273, 281, 15775, 19361, 609, 5274, 9442, 4373, 2414, 7119, 538, 713, 20089, 267, 596, 3513, 991, 547, 1451, 930, 9238, 827, 1480, 5872, 269, 18972, 5968, 5097, 1210, 9275, 1893, 630, 339, 22736, 264, 543, 2854, 1913, 630, 1399, 4771, 1040, 1411, 1522, 1294, 3425, 17511, 2476, 593, 1507, 25965, 1572, 16389, 610, 9361, 538, 4395, 540, 3677, 6191, 1572, 5904, 780, 2690, 1631, 267, 1577, 781, 1445, 593, 1620, 2241, 2453, 1384, 265, 834, 15916, 10590, 910, 589, 7874, 28551, 563, 265, 834, 14188, 596, 257, 910, 5890, 7675, 14696, 563, 265, 834, 8119, 910, 1306, 6362, 513, 2243, 780, 20797, 891, 2453, 676, 6031, 873, 856, 10978, 610, 1603, 873, 1524, 269, 898, 781, 1898, 547, 581, 6899, 14379, 609, 1866, 547, 3035, 938, 3804, 780, 1262, 3721, 476, 274, 281, 7457, 532, 519, 5769, 4373, 763, 4950, 568, 899, 513, 5318, 267, 15865, 5399, 5627, 11995, 1344, 269, 1677, 1569, 621, 267, 596, 3513, 991, 835, 540, 1346, 14328, 3457, 5018, 4505, 1107, 513, 16335, 610, 2780, 780, 8340, 513, 2922, 267, 9602, 5544, 547, 1694, 20354, 267, 1287, 1246, 891, 3268, 1384, 320, 269, 700, 11229, 513, 3926, 281, 6733, 1472, 585, 513, 6049, 610, 2780, 269, 1403, 596, 1810, 1405, 1265, 835, 7404, 267, 2307, 513, 1480, 952, 789, 666, 22937, 596, 741, 338, 610, 1491, 596, 547, 513, 1857, 1858, 609, 2139, 3457, 780, 321, 269, 12414, 621, 593, 281, 4964, 519, 1379, 7735, 630, 17141, 4092, 593, 1283, 610, 2427, 264, 2394, 519, 5496, 8279, 909, 780, 322, 269, 4045, 547, 15261, 19712, 281, 4855, 519, 15261, 19712, 3090, 20465, 593, 519, 3926, 543, 7148, 270, 28781, 593, 621, 269, 8564, 513, 3060, 689, 519, 1592, 630, 2532, 513, 1480, 585, 6351, 952, 2877, 6393, 323, 269, 7046, 513, 1357, 11422, 281, 24135, 270, 28781, 593, 606, 12835, 23401, 513, 6885, 610, 22315, 630, 324, 3052, 1421, 5616, 24904, 267, 20787, 8759, 32288, 2135, 1040, 901, 786, 1450, 596, 547, 2263, 7270, 780, 1262, 3721, 476, 275, 281, 15012, 6732, 18877, 4373, 3086, 602, 596, 4312, 15600, 519, 4950, 267, 621, 781, 942, 547, 1921, 609, 824, 11655, 945, 2671, 707, 6612, 585, 8744, 1394, 6196, 11833, 31919, 269, 1284, 3513, 946, 1514, 2923, 5867, 267, 2027, 4025, 593, 519, 4950, 1141, 3425, 5531, 547, 1865, 1455, 4690, 780, 8620, 6589, 593, 519, 1739, 4609, 1384, 320, 269, 12108, 912, 453, 266, 3619, 547, 1000, 7867, 2593, 543, 4945, 14121, 777, 834, 14294, 5455, 4799, 453, 266, 7994, 513, 27024, 630, 20365, 2189, 2012, 1070, 10957, 267, 543, 4757, 2232, 563, 453, 266, 19130, 856, 519, 2838, 1344, 267, 1519, 707, 14512, 630, 21065, 753, 8661, 4332, 17058, 607, 513, 24182, 1916, 453, 266, 8437, 14121, 777, 834, 8620, 10055, 3010, 321, 269, 9365, 912, 453, 266, 16731, 3068, 1504, 2593, 543, 4945, 14121, 777, 834, 8620, 1715, 10055, 4799, 453, 266, 9373, 707, 2012, 267, 4757, 2232, 267, 10957, 267, 543, 14512, 563, 453, 266, 5410, 513, 9043, 4605, 630, 534, 3239, 8204, 3054, 5148, 596, 666, 14202, 835, 689, 519, 3926, 610, 1491, 513, 8666, 780, 322, 269, 23749, 912, 453, 266, 10361, 547, 14703, 2593, 543, 4945, 14121, 777, 834, 14294, 5455, 4799, 453, 266, 7994, 513, 27024, 267, 10957, 267, 543, 4757, 2232, 563, 453, 266, 7638, 1518, 707, 2272, 3842, 4757, 630, 13765, 707, 28600, 585, 513, 5048, 689, 23749, 6393, 1262, 3721, 476, 276, 281, 9523, 2659, 32425, 543, 4045, 609, 11524, 4373, 18794, 2516, 6131, 547, 2847, 1516, 6196, 11833, 31919, 1384, 320, 269, 2201, 12108, 912, 453, 266, 9612, 585, 814, 6255, 4711, 1948, 289, 2590, 12988, 9573, 610, 1948, 24874, 9573, 20288, 591, 563, 453, 266, 7427, 3755, 7234, 11833, 31919, 25954, 630, 28781, 14121, 777, 519, 834, 10287, 257, 7735, 1985, 547, 741, 4408, 1916, 453, 266, 570, 11548, 6835, 11589, 707, 15131, 585, 6196, 8713, 630, 6943, 1018, 596, 1616, 547, 2161, 267, 1039, 4143, 814, 6255, 4711, 267, 543, 5734, 6494, 6393, 321, 269, 2201, 9365, 912, 453, 266, 9612, 585, 2516, 1644, 547, 11833, 31919, 19911, 28101, 630, 2224, 17161, 899, 834, 24874, 11833, 31919, 4860, 2526, 257, 1916, 453, 266, 32369, 547, 6443, 519, 1895, 4433, 264, 602, 13469, 609, 596, 563, 453, 266, 12160, 622, 538, 5717, 267, 4687, 707, 4555, 543, 8823, 827, 6196, 8713, 780, 322, 269, 2201, 23749, 912, 453, 266, 4427, 18285, 547, 678, 270, 12218, 545, 5141, 889, 303, 21315, 543, 678, 23860, 671, 9573, 20288, 591, 630, 28781, 14121, 777, 519, 834, 29771, 257, 7735, 1916, 453, 266, 18918, 538, 7391, 1369, 891, 2950, 267, 20171, 8292, 543, 4687, 2984, 827, 1946, 596, 2648, 6196, 11833, 31919, 780, 1262, 3721, 476, 277, 281, 24619, 17607, 4373, 11742, 547, 3262, 519, 2262, 3564, 2228, 2950, 2439, 320, 269, 15681, 14886, 543, 7731, 912, 18704, 707, 10761, 609, 519, 3425, 1472, 596, 269, 11512, 875, 1454, 6196, 11833, 31919, 1797, 547, 596, 543, 1946, 922, 2132, 1131, 1118, 865, 1082, 1004, 6126, 780, 321, 269, 8073, 10439, 12474, 912, 17637, 19297, 267, 8038, 619, 267, 610, 3059, 2592, 15386, 707, 5172, 6196, 8713, 8090, 610, 13144, 269, 18224, 873, 538, 2199, 2127, 630, 5976, 10479, 264, 610, 2671, 2228, 780, 322, 269, 5029, 1125, 20821, 5725, 912, 6635, 9792, 19771, 609, 8284, 12439, 538, 1268, 610, 12303, 269, 9181, 2994, 267, 2671, 2093, 267, 543, 1628, 11610, 2509, 8236, 938, 3804, 780, 1262, 6962, 4373, 23558, 267, 3659, 256, 1635, 11264, 891, 3268, 267, 596, 4312, 3144, 1713, 26058, 4724, 4543, 3142, 1394, 6196, 11833, 31919, 269, 5457, 547, 3251, 3742, 267, 4497, 609, 1866, 267, 543, 1832, 10825, 4656, 269, 8625, 267, 649, 666, 1118, 513, 3017, 543, 882, 633, 519, 9059, 540, 713, 19644, 2228, 2146, 780, 2026, 596, 3136, 593, 713, 3460, 267, 3314, 547, 2141, 2259, 11587, 267, 2463, 267, 543, 6568, 950, 15025, 609, 3425, 2228, 543, 22356, 269, 6153, 9939, 267, 543, 9684, 596, 585, 11836, 4229, 547, 2847, 633, 6196, 11833, 31919, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 20055, 20780, 7982, 6196, 11833, 31919, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 1103, 713, 1770, 267, 649, 786, 2263, 513, 4241, 1888, 538, 519, 7706, 540, 12985, 2257, 281, 7023, 8638, 543, 741, 3156, 269, 27199, 4011, 8638, 616, 513, 3532, 1907, 1031, 538, 1585, 3621, 4610, 267, 1519, 6323, 267, 7998, 267, 543, 2326, 2257, 267, 547, 7561, 2697, 543, 4383, 4205, 1063, 5536, 538, 513, 1062, 780, 6524, 649, 4685, 883, 519, 3009, 267, 1577, 781, 1101, 1174, 519, 1523, 540, 513, 7023, 1592, 269, 5994, 596, 723, 513, 4216, 4904, 609, 5536, 267, 543, 596, 1616, 547, 1353, 875, 891, 5536, 2170, 609, 1142, 824, 269, 2290, 1259, 547, 798, 713, 568, 547, 5173, 519, 3845, 1063, 1169, 6292, 540, 5536, 543, 3313, 952, 789, 616, 2673, 2614, 547, 581, 2808, 834, 31371, 26092, 1701, 1717, 267, 713, 1505, 666, 581, 1939, 14260, 7199, 267, 2523, 950, 7231, 609, 513, 1804, 1297, 540, 5536, 780, 1607, 568, 1141, 7023, 8638, 2097, 538, 269, 589, 7023, 1592, 568, 513, 1239, 2497, 602, 8952, 3950, 540, 519, 12543, 540, 1142, 9325, 267, 3850, 721, 547, 3533, 2697, 543, 9337, 4205, 1063, 5536, 269, 901, 1935, 3648, 6971, 519, 12985, 1942, 540, 1138, 6819, 9325, 4205, 267, 1818, 621, 2009, 547, 1353, 1950, 1949, 609, 6634, 540, 5536, 780, 3086, 267, 1577, 781, 1491, 513, 1413, 693, 519, 3009, 269, 634, 1101, 1599, 649, 7237, 568, 2387, 1326, 318, 4248, 318, 7901, 318, 31371, 4011, 6958, 333, 18269, 901, 1599, 3217, 1079, 7440, 281, 2387, 7901, 15481, 319, 543, 2387, 12827, 4752, 18269, 2387, 7901, 15481, 319, 568, 513, 24042, 8204, 519, 2450, 540, 519, 4216, 5627, 519, 5536, 267, 1247, 2387, 12827, 4752, 319, 568, 513, 3845, 12939, 1031, 547, 3313, 952, 1079, 5536, 616, 2808, 12543, 780, 3499, 7090, 454, 3698, 1205, 318, 4248, 318, 7901, 318, 31371, 4011, 6958, 333, 6357, 2135, 15481, 267, 2759, 4752, 2187, 825, 12761, 6958, 333, 267, 9041, 815, 2230, 269, 704, 1675, 545, 6357, 2135, 15481, 994, 825, 7023, 8217, 6958, 333, 815, 15652, 269, 31371, 4011, 8217, 263, 4134, 10293, 6958, 333, 2676, 14030, 3546, 4216, 15481, 2676, 14030, 3546, 2759, 4752, 2676, 14030, 3546, 1743, 318, 628, 11611, 284, 12827, 4752, 270, 276, 1421, 454, 14030, 3546, 4390, 8548, 738, 328, 680, 1512, 284, 272, 269, 271, 454, 14030, 25639, 12467, 825, 2132, 7023, 8217, 6958, 333, 454, 7884, 763, 1599, 2387, 1326, 318, 4248, 318, 7901, 318, 31371, 4011, 6958, 333, 319, 7024, 1776, 1599, 267, 2387, 31371, 4011, 8217, 6958, 333, 12452, 799, 568, 1031, 547, 5352, 519, 7023, 1592, 585, 513, 2016, 1305, 540, 5536, 269, 901, 1599, 3096, 1079, 25961, 3252, 281, 2387, 11898, 269, 704, 1675, 545, 319, 543, 2387, 4820, 819, 269, 31371, 4011, 8217, 27471, 763, 2387, 11898, 269, 704, 1675, 545, 319, 1599, 568, 1031, 547, 6023, 13350, 10465, 2175, 267, 799, 616, 1419, 1031, 538, 13502, 547, 17932, 519, 2623, 540, 606, 12808, 1062, 269, 901, 1599, 7024, 513, 2387, 4134, 10293, 6958, 333, 319, 602, 666, 581, 1031, 547, 5173, 519, 3845, 1063, 5536, 538, 513, 13350, 4216, 780, 763, 2387, 4820, 819, 269, 31371, 4011, 8217, 319, 1599, 568, 1141, 519, 7023, 1592, 568, 2965, 6383, 269, 898, 3217, 1896, 7440, 267, 1519, 519, 2387, 4134, 10293, 6958, 333, 12452, 2387, 7901, 15481, 12452, 543, 2387, 12827, 4752, 12452, 543, 7024, 513, 1599, 602, 666, 581, 1031, 547, 5352, 519, 7023, 1592, 585, 513, 2016, 1305, 540, 5536, 780, 3086, 602, 649, 723, 513, 2596, 1620, 540, 7023, 8638, 543, 875, 789, 616, 6383, 267, 1577, 781, 1847, 593, 547, 519, 1985, 1599, 281, 2387, 333, 1962, 331, 560, 15461, 318, 8354, 27471, 3499, 7090, 454, 3698, 562, 1962, 331, 560, 15461, 318, 8354, 4433, 10628, 267, 2759, 4752, 2187, 825, 1219, 562, 1962, 331, 560, 15461, 318, 8354, 6958, 333, 263, 22487, 16182, 343, 267, 4423, 16182, 343, 267, 562, 1962, 331, 560, 2187, 1038, 546, 305, 815, 2230, 6155, 29924, 263, 22487, 16182, 343, 267, 4423, 16182, 343, 994, 1038, 9041, 273, 815, 2230, 4732, 13645, 5091 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2079, 3594, 616, 865, 1454, 2442, 267, 2523, 538, 12621, 543, 9945, 606, 1011, 1709, 1557, 568, 5497, 547, 5659, 513, 6648, 2073, 513, 2110, 1650, 547, 11200, 922, 3020, 630, 6456, 264, 2495, 2073, 519, 2278, 685, 521, 8404, 2073, 513, 3209, 267, 513, 1404, 267, 568, 2356, 8655, 547, 15938, 10927, 6780, 585, 476, 275, 628, 3446, 1053, 269, 562, 4673, 16279, 11876, 1156, 5408, 2488, 875, 547, 5659, 513, 1650, 538, 606, 1557, 606, 5140, 1383, 540, 875, 547, 20272, 513, 4062, 540, 1148, 630, 527, 568, 1271, 547, 4063, 602, 713, 3381, 568, 606, 1383, 540, 2048, 845, 531, 2079, 685, 543, 3085, 1406, 1331, 13865, 2079, 267, 799, 568, 849, 2838, 676, 16643, 11556, 1557, 25644, 1082, 1164, 1153, 1148, 6514, 12545, 267, 538, 1840, 547, 8579, 1382, 1957, 519, 6101, 2079, 11609, 1934, 2567, 269, 1775, 729, 28280, 950, 1775, 4607, 1250, 1101, 7084, 1557, 689, 23686, 628, 607, 621, 729, 30664, 764, 762, 5888, 1603, 3584, 543, 11207, 909, 547, 1250, 20772, 538, 713, 3992, 267, 649, 786, 1451, 1018, 513, 4259, 568, 267, 1946, 621, 568, 1271, 875, 547, 5659, 513, 1650, 538, 606, 1557, 543, 875, 547, 5659, 513, 1650, 538, 606, 1557, 875, 547, 5659, 621, 269, 7421, 11052, 538, 18340, 267, 971, 607, 513, 2110, 875, 547, 5659, 513, 1650, 538, 606, 1557, 1650, 610, 3209, 267, 568, 1126, 3249, 1870, 1544, 2147, 547, 476, 2004, 3594, 1433, 7421, 11052, 538, 6965, 267, 855, 596, 2461, 2324, 609, 2347, 5220, 267, 9433, 267, 543, 2592, 3710, 883, 513, 3677, 9165, 540, 513, 1650, 950, 9916, 998, 519, 1585, 14485, 540, 519, 15594, 5133, 267, 4481, 1346, 602, 1533, 875, 547, 5659, 513, 1650, 538, 606, 1557, 602, 1568, 540, 1148, 2813, 676, 2021, 2588, 2228, 6780, 1419, 723, 1114, 5380, 267, 543, 602, 1568, 30363, 676, 2367, 4749, 12927, 30013, 875, 547, 5659, 513, 1650, 538, 606, 1557, 5784, 540, 2021, 267, 519, 1292, 6249, 1557, 1603, 4245, 540, 519, 1650, 3587, 2312, 281, 621, 568, 1898, 547, 1174, 602, 538, 707, 2079, 1557, 267, 596, 3580, 991, 547, 2263, 519, 2942, 5011, 540, 519, 3390, 543, 519, 2318, 3283, 269, 0, 31142, 657, 645, 732, 569, 3115, 18677, 2201, 5082, 539, 645, 3672, 454, 10907, 1484, 519, 19566, 267, 5824, 657, 1118, 909, 5176, 476, 1321, 2600, 540, 519, 2551, 269, 8616, 938, 1382, 9193, 1152, 1079, 2600, 540, 519, 3148, 779, 11221, 8387, 616, 17104, 269, 898, 779, 513, 29373, 602, 17037, 899, 8277, 10548, 790, 345, 538, 962, 752, 9874, 6019, 1616, 547, 1689, 563, 28490, 2576, 666, 8917, 543, 3085, 1406, 267, 1134, 267, 602, 3085, 1406, 798, 1022, 1434, 2437, 646, 3081, 269, 834, 2791, 2461, 3850, 1866, 547, 8917, 538, 707, 1747, 267, 547, 1118, 1114, 4031, 982, 596, 1522, 899, 3034, 1607, 3018, 267, 649, 2811, 3168, 693, 1946, 519, 3148, 781, 4102, 12102, 1895, 814, 865, 2370, 804, 719, 538, 519, 2797, 26750, 269, 3776, 1382, 9060, 602, 519, 1297, 540, 21337, 11221, 8387, 538, 519, 19566, 568, 2523, 1970, 3379, 547, 519, 3395, 17104, 2551, 538, 782, 1614, 2829, 269, 1284, 2253, 676, 3168, 693, 930, 540, 519, 4128, 585, 602, 7934, 269, 0, 32546, 3858, 972, 568, 513, 2312, 3095, 1063, 2348, 3987, 543, 3384, 10733, 2068, 267, 855, 519, 2078, 1063, 891, 2175, 568, 1360, 1950, 269, 1548, 779, 811, 267, 4966, 3494, 10733, 2068, 666, 1118, 707, 3987, 8338, 563, 30048, 3322, 519, 1560, 779, 2702, 547, 1184, 1973, 4006, 269, 1879, 3987, 568, 29252, 1932, 1454, 4006, 666, 2333, 519, 1981, 540, 10733, 2068, 269, 10251, 267, 10733, 2068, 666, 849, 9594, 811, 7280, 2504, 998, 519, 1560, 779, 2566, 3210, 282, 799, 2306, 519, 3987, 8338, 563, 1700, 6423, 707, 11290, 5781, 952, 596, 723, 3987, 267, 865, 789, 666, 6895, 707, 4522, 543, 14779, 811, 5402, 563, 1700, 2659, 11290, 949, 2303, 811, 7928, 11564, 610, 3318, 4522, 7738, 547, 1832, 707, 14779, 2635, 563, 1700, 8347, 547, 1832, 707, 3987, 896, 1852, 543, 3314, 547, 11453, 543, 19568, 5781, 563, 2005, 779, 2731, 1271, 547, 723, 2834, 2638, 13522, 609, 513, 11290, 952, 596, 723, 3987, 269, 717, 636, 2068, 568, 513, 31181, 2783, 952, 5701, 269, 1403, 2451, 15860, 267, 10733, 2068, 666, 2014, 4049, 6553, 543, 11702, 540, 519, 14779, 269, 898, 666, 1256, 2014, 5694, 2530, 563, 28490, 596, 723, 3987, 267, 621, 779, 1898, 547, 1491, 1416, 540, 3054, 543, 4309, 2126, 607, 2556, 547, 948, 2149, 707, 1560, 543, 707, 12837, 3034, 17359, 2376, 1934, 281, 0, 10817, 652, 2070, 281, 1306, 649, 960, 547, 1711, 513, 2582, 267, 8087, 3013, 267, 3314, 9410, 13162, 3751, 454, 763, 1032, 568, 476, 1708, 272, 543, 649, 616, 1869, 2713, 538, 1079, 1114, 17113, 563, 2467, 568, 519, 3013, 602, 18441, 2661, 538, 543, 1776, 3013, 602, 3043, 1004, 2661, 538, 269, 3509, 616, 26997, 547, 16153, 602, 267, 4352, 519, 1913, 968, 718, 2367, 616, 2813, 3160, 892, 616, 538, 938, 16672, 540, 14412, 267, 602, 713, 568, 711, 519, 4641, 585, 519, 12102, 2146, 563, 763, 4860, 269, 9410, 13162, 3751, 12789, 269, 10692, 2394, 1010, 2063, 7362, 547, 3262, 25273, 267, 7862, 267, 32593, 775, 543, 4126, 269, 1809, 1256, 1631, 267, 5756, 2663, 267, 649, 723, 1500, 1360, 2370, 3356, 563, 4462, 3286, 1881, 6146, 902, 540, 1004, 540, 2681, 693, 519, 3946, 540, 7128, 723, 20406, 7018, 267, 1032, 1310, 1032, 269, 11531, 267, 519, 4563, 22032, 17460, 3350, 814, 6738, 269, 1452, 1079, 5011, 540, 3013, 3100, 1305, 1996, 835, 1776, 563, 3080, 2427, 3458, 4461, 267, 834, 25187, 543, 1931, 10590, 1247, 519, 824, 3458, 4461, 267, 834, 13420, 1275, 30882, 763, 4832, 540, 476, 1708, 271, 4957, 1250, 1272, 269, 3733, 4064, 8118, 543, 594, 5433, 519, 20882, 547, 1118, 513, 1689, 269, 594, 2813, 661, 4471, 26321, 267, 606, 3919, 602, 3533, 16668, 519, 3007, 540, 938, 2146, 563, 2171, 723, 1185, 11401, 609, 519, 25650, 267, 4975, 7027, 543, 519, 8783, 540, 519, 661, 4471, 13163, 540, 17318, 269, 1284, 5433, 649, 941, 1818, 26058, 269, 12846, 267, 938, 7887, 1764, 3357, 711, 676, 6340, 609, 519, 2146, 781, 3401, 267, 855, 676, 6340, 609, 2146, 2818, 2933, 269, 1284, 616, 6679, 607, 1082, 4064, 607, 2009, 563, 763, 4563, 22032, 17460, 3350, 814, 1044, 3954, 6407, 607, 513, 10795, 267, 24180, 3919, 269, 681, 328, 1824, 2429, 519, 4832, 267, 538, 799, 7128, 6472, 941, 14616, 543, 4213, 941, 561, 2393, 539, 267, 13556, 519, 3350, 2443, 538, 4641, 267, 513, 3350, 585, 7862, 2443, 607, 9409, 267, 26688, 543, 5906, 563, 21914, 840, 3737, 4708, 543, 10103, 269, 12846, 267, 585, 930, 2818, 540, 519, 19154, 300, 3350, 267, 2614, 729, 2614, 543, 4664, 3459, 838, 3739, 856, 269, 1924, 1082, 1294, 519, 21440, 543, 16526, 538, 519, 22457, 2486, 538, 799, 649, 2661, 269, 17318, 538, 2407, 678, 3999, 10591, 9250, 15237, 3154, 543, 8929, 693, 3087, 2209, 269, 17318, 18486, 267, 1033, 7134, 267, 10692, 609, 543, 3458, 3139, 693, 3087, 2209, 8165, 21440, 563, 5278, 3377, 5121, 13556, 891, 23405, 607, 6285, 593, 3013, 1317, 519, 2043, 543, 6803, 2516, 2443, 945, 1185, 1044, 4371, 1524, 585, 2484, 1932, 1279, 676, 713, 2197, 543, 922, 3043, 1977, 2551, 2443, 1185, 2614, 543, 941, 8348, 547, 4339, 543, 5884, 585, 1689, 543, 547, 1118, 741, 9739, 4862, 563, 12179, 7681, 609, 4376, 824, 982, 2347, 14017, 547, 7128, 543, 3013, 729, 2938, 607, 3592, 9810, 2065, 563, 763, 2487, 678, 3999, 693, 519, 772, 2529, 269, 7167, 20738, 814, 9663, 1492, 1042, 519, 7941, 1063, 519, 1079, 17113, 269, 589, 11786, 7022, 2443, 593, 1010, 1259, 856, 540, 5604, 1310, 646, 4503, 513, 4023, 543, 5150, 9550, 2443, 814, 10138, 909, 1010, 18793, 936, 519, 1576, 540, 1010, 2165, 269, 3509, 540, 891, 18793, 2443, 5176, 782, 540, 7247, 616, 3043, 2443, 8604, 8572, 547, 4308, 609, 18496, 11686, 781, 2530, 269, 2201, 3967, 269, 476, 277, 267, 513, 1804, 1895, 540, 891, 1004, 2443, 24016, 593, 676, 1514, 2923, 16060, 2443, 4780, 3022, 593, 6115, 267, 667, 5861, 269, 585, 513, 28487, 543, 16091, 938, 7167, 20738, 267, 7088, 532, 2250, 7128, 269, 12866, 1004, 5747, 267, 1519, 513, 7128, 11464, 563, 763, 2592, 540, 519, 4323, 4951, 513, 7128, 3210, 547, 891, 6469, 9810, 1235, 602, 729, 865, 1114, 689, 519, 6114, 649, 4718, 950, 18441, 7152, 1282, 19154, 300, 22415, 1127, 2282, 519, 7167, 20738, 2063, 4832, 563, 1103, 1082, 2665, 267, 891, 6140, 3043, 4892, 941, 2111, 547, 3802, 1318, 2250, 7128, 1510, 6849, 5208, 610, 2669, 269, 2290, 11464, 15054, 585, 5961, 609, 3087, 2209, 563, 20360, 3298, 941, 7745, 269, 26671, 941, 21687, 269, 16840, 540, 519, 14130, 543, 5600, 540, 24929, 941, 17355, 18050, 607, 891, 6469, 9810, 1235, 8149, 1726, 1783, 269, 1677, 930, 267, 713, 729, 606, 13986, 19420, 563, 32381, 267, 519, 3210, 7128, 4951, 891, 3087, 2209, 729, 513, 3802, 538, 519, 6288, 3379, 547, 519, 3210, 3254, 4724, 19154, 300, 3087, 2209, 610, 538, 1164, 9043, 2665, 540, 21440, 2443, 23111, 597, 19676, 267, 476, 1321, 267, 7784, 2740, 1524, 1247, 4730, 609, 513, 11442, 7784, 282, 6601, 30358, 13177, 7166, 538, 1200, 1753, 282, 6723, 4469, 20477, 267, 669, 12097, 547, 2669, 593, 519, 8265, 269, 594, 1223, 2285, 3875, 1806, 540, 519, 17536, 1182, 649, 782, 917, 2049, 269, 12846, 267, 519, 824, 3013, 1932, 1419, 7140, 513, 7104, 9420, 3750, 610, 9060, 1175, 5874, 585, 891, 17536, 1182, 563, 2026, 649, 1847, 4464, 547, 1711, 513, 8087, 3013, 267, 1577, 781, 3314, 3751, 781, 1383, 269, 3751, 4665, 919, 803, 547, 7903, 4464, 543, 585, 613, 513, 17321, 2104, 585, 938, 2197, 543, 1250, 2146, 563, 4517, 9445, 14472, 5964, 568, 606, 28013, 538, 661, 4471, 269, 0, 293, 14660, 683, 826, 4201, 648, 333, 912, 330, 739, 523, 32221, 267, 552, 8882, 778, 3768, 521, 1013, 749, 454, 293, 14660, 581, 516, 1080, 7373, 8175, 974, 4201, 648, 333, 454, 1704, 1530, 527, 523, 267, 8074, 281, 476, 272, 267, 274, 454, 272, 634, 476, 1704, 628, 11416, 6628, 454, 272, 269, 272, 11572, 17461, 454, 272, 269, 273, 15510, 543, 15215, 454, 272, 269, 274, 9085, 543, 20989, 454, 273, 21058, 589, 3578, 11208, 454, 273, 269, 272, 23063, 6672, 540, 6468, 454, 273, 269, 273, 5675, 543, 14539, 607, 513, 19716, 454, 274, 20152, 28533, 754, 880, 454, 274, 269, 273, 5020, 543, 4518, 607, 513, 27752, 454, 274, 269, 274, 28533, 754, 880, 779, 7849, 13898, 454, 274, 269, 275, 634, 26994, 31888, 454, 763, 1459, 1957, 9388, 609, 519, 1888, 540, 339, 4775, 4589, 1222, 538, 519, 5339, 1158, 540, 519, 27867, 10601, 4789, 543, 12662, 519, 8561, 593, 606, 11108, 543, 30508, 4775, 5856, 281, 20152, 28533, 754, 880, 563, 1607, 1568, 568, 5258, 883, 1614, 1292, 2694, 269, 634, 1101, 3296, 5713, 607, 606, 4367, 547, 519, 1292, 1888, 543, 2488, 519, 5467, 609, 4282, 1344, 827, 519, 2797, 267, 1514, 267, 3909, 543, 5339, 3510, 1282, 602, 942, 269, 898, 6799, 513, 2689, 540, 519, 31341, 6681, 19588, 540, 519, 2296, 17599, 267, 519, 8375, 8830, 11939, 3350, 2429, 519, 2540, 543, 519, 1646, 540, 2296, 16222, 1310, 519, 5736, 540, 519, 10906, 534, 8609, 693, 519, 1439, 540, 519, 31303, 2540, 563, 763, 2034, 851, 6257, 2021, 779, 1909, 538, 519, 30013, 2486, 540, 519, 27867, 2540, 543, 519, 7965, 540, 741, 1169, 6377, 1272, 269, 898, 849, 2798, 856, 519, 9465, 543, 7965, 2021, 11402, 950, 3843, 547, 4283, 519, 5256, 26730, 3990, 5339, 1158, 543, 4408, 589, 874, 571, 2142, 18255, 543, 918, 15811, 5845, 2354, 607, 1079, 2021, 267, 945, 267, 18562, 267, 3964, 2933, 607, 3811, 4775, 5830, 563, 7661, 267, 519, 3791, 543, 2063, 851, 540, 713, 1957, 568, 6131, 547, 519, 30508, 5856, 20152, 28533, 754, 880, 267, 667, 31866, 1087, 540, 1715, 31069, 269, 898, 3568, 606, 7650, 540, 1200, 1272, 543, 960, 543, 2523, 12116, 1200, 607, 519, 1101, 4807, 547, 15476, 1200, 1378, 2067, 6138, 267, 585, 799, 1352, 729, 22309, 676, 1082, 540, 1200, 29629, 2456, 563, 763, 27867, 10601, 4789, 729, 513, 31341, 6681, 942, 543, 666, 5631, 581, 5258, 883, 1079, 11775, 281, 519, 2038, 27867, 2540, 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 ]
[ 481, 7511, 31006, 16533, 493, 418, 371, 365, 18021, 355, 476, 1109, 273, 780, 258, 17276, 507, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 258, 28859, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 26553, 3065, 3829, 6361, 1532, 2435, 2389, 872, 454, 258, 29635, 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, 12486, 692, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 5035, 30741, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 692, 3698, 14764, 21698, 25225, 281, 1592, 264, 9847, 30741, 912, 825, 20313, 815, 11713, 825, 3597, 815, 30741, 25225, 314, 271, 7481, 825, 20313, 6910, 20172, 994, 825, 12398, 1103, 29381, 815, 6936, 454, 825, 585, 1003, 538, 15358, 314, 272, 281, 14158, 1038, 6843, 815, 7183, 454, 1038, 952, 1003, 912, 2018, 6843, 815, 30741, 16325, 994, 2018, 20313, 6910, 27316, 2020, 1038, 2212, 815, 20313, 314, 271, 2639, 1038, 952, 12398, 1103, 29381, 912, 2018, 2212, 16000, 815, 6843, 454, 1038, 3116, 912, 2018, 2212, 16192, 815, 6843, 454, 2018, 20313, 21014, 263, 271, 994, 1038, 12398, 1103, 29381, 815, 711, 12398, 1103, 29381, 22562, 825, 2132, 3597, 692, 5035, 8827, 912, 825, 1948, 476, 20881, 496, 25051, 496, 454, 825, 1219, 1295, 291, 3704, 272, 4311, 267, 3597, 281, 30741, 264, 9847, 703, 912, 1038, 1948, 1152, 585, 11713, 1038, 952, 711, 3597, 912, 2018, 2132, 476, 271, 454, 1038, 952, 711, 3597, 16000, 543, 711, 3597, 16192, 912, 2018, 2132, 476, 272, 692, 1038, 952, 3597, 16000, 543, 3597, 16192, 912, 2018, 2132, 1295, 4311, 269, 2381, 291, 3704, 20172, 16000, 1070, 1582, 269, 2381, 291, 3704, 20172, 16192, 4297, 266, 272, 692, 1038, 952, 3597, 16000, 912, 2018, 2132, 1582, 269, 2381, 291, 3704, 20172, 16000, 11924, 272, 454, 1038, 952, 3597, 16192, 912, 2018, 2132, 1582, 269, 2381, 291, 3704, 20172, 16192, 11924, 272, 692, 825, 1948, 476, 13213, 511, 28786, 476, 20069, 30536, 417, 481, 493, 5263, 306, 476, 12916, 484, 23946, 370, 21251, 15159, 419, 374, 363, 419, 366, 373, 7511, 5263, 306, 454, 825, 1219, 1295, 291, 3704, 1556, 4311, 267, 3597, 281, 30741, 264, 9847, 703, 1384, 1038, 952, 711, 3597, 912, 2018, 2132, 476, 271, 692, 1038, 1295, 291, 3704, 815, 10581, 3488, 8882, 5073, 1038, 10518, 815, 1496, 14654, 921, 9230, 10174, 267, 476, 272, 4297, 2639, 1038, 524, 660, 291, 3704, 815, 10581, 3488, 8882, 17210, 1038, 1247, 10518, 912, 2018, 6843, 267, 3178, 815, 10518, 21014, 4590, 2018, 2451, 815, 6843, 16000, 454, 2018, 1318, 815, 6843, 16192, 692, 2018, 952, 711, 2451, 543, 711, 1318, 912, 3546, 1295, 291, 3704, 815, 1295, 5560, 3704, 267, 1295, 291, 3704, 994, 3546, 3136, 692, 2018, 952, 2451, 912, 3546, 10518, 6910, 6025, 340, 921, 9230, 3847, 267, 3178, 266, 272, 21875, 2018, 952, 1318, 912, 3546, 10518, 6910, 6025, 340, 921, 9230, 2431, 267, 3178, 266, 272, 21875, 13872, 1038, 2132, 1295, 291, 3704, 692, 825, 1948, 645, 12396, 454, 825, 1219, 1295, 291, 3704, 4311, 267, 3597, 281, 30741, 264, 9847, 703, 912, 1038, 952, 711, 3597, 912, 2018, 2132, 476, 271, 28329, 1038, 20313, 815, 1496, 10174, 2639, 1038, 1295, 291, 3704, 815, 476, 271, 454, 1038, 1247, 20313, 912, 2018, 1295, 291, 3704, 6834, 476, 272, 692, 2018, 3259, 815, 7003, 263, 28255, 994, 2018, 1007, 20075, 826, 815, 11713, 2018, 585, 7329, 343, 538, 2039, 263, 271, 267, 3259, 2187, 3546, 6843, 815, 20313, 314, 30915, 2639, 3546, 952, 711, 6843, 16000, 543, 711, 6843, 16192, 912, 7386, 2132, 1295, 291, 3704, 454, 3546, 952, 6843, 16000, 912, 7386, 1007, 20075, 826, 6910, 27316, 16000, 994, 3546, 952, 6843, 16192, 912, 7386, 1007, 20075, 826, 6910, 27316, 16192, 2020, 2018, 20313, 815, 1007, 20075, 826, 454, 1038, 2132, 1295, 291, 3704, 7531, 333, 4548, 815, 1496, 274, 267, 280, 267, 736, 267, 14085, 267, 14085, 267, 1428, 267, 278, 2639, 29728, 815, 14764, 21698, 25225, 994, 334, 815, 8827, 14061, 2381, 291, 3704, 6025, 872, 994, 2745, 263, 334, 264, 0, 258, 815, 2525, 7493, 3337, 5049, 815, 2525, 1477, 5035, 23426, 273, 291, 11328, 2183, 6769, 825, 1219, 2721, 4311, 2567, 1780, 5897, 5035, 23426, 274, 291, 11328, 2183, 6769, 825, 1219, 1628, 4311, 2567, 1780, 5897, 258, 815, 2525, 6405, 3337, 5049, 815, 2525, 1477, 5035, 17781, 263, 4537, 1901, 273, 291, 11328, 2183, 8029, 825, 1219, 2721, 4311, 8029, 1038, 1820, 2891, 290, 22511, 6155, 3863, 257, 10142, 5035, 12384, 263, 4537, 1901, 273, 291, 11328, 2183, 8029, 825, 1219, 2721, 4311, 8029, 1038, 1820, 2891, 306, 13645, 6155, 3863, 257, 10142, 5035, 1975, 1877, 263, 4537, 1901, 274, 291, 11328, 2183, 8029, 825, 1219, 1628, 4311, 8029, 1038, 1820, 2891, 8967, 1877, 12500, 4265, 257, 10142, 5035, 28116, 263, 4537, 1901, 274, 291, 11328, 2183, 8029, 825, 1219, 1628, 4311, 8029, 1038, 1820, 2891, 290, 4209, 12500, 4265, 14744, 5897, 258, 815, 2525, 17593, 3337, 12051, 815, 2525, 1477, 5035, 23426, 15542, 800, 11328, 2183, 6769, 825, 1219, 1205, 4537, 1901, 4433, 1938, 2567, 1780, 5897, 258, 815, 2525, 22493, 3337, 15327, 815, 2525, 1477, 5035, 23426, 273, 5263, 716, 800, 263, 4537, 1901, 15542, 800, 11328, 2183, 8029, 825, 7711, 18878, 24709, 1477, 825, 1219, 1205, 4537, 1901, 4433, 1938, 8029, 1038, 952, 5011, 2652, 476, 272, 6769, 2018, 2132, 17781, 14052, 1038, 952, 5011, 2652, 476, 275, 6769, 2018, 2132, 12384, 14052, 1038, 7682, 476, 271, 267, 834, 289, 611, 476, 273, 291, 3337, 5137, 281, 3337, 711, 3989, 585, 834, 1341, 5011, 1341, 834, 338, 1938, 257, 5897, 5035, 23426, 274, 5263, 716, 800, 263, 4537, 1901, 15542, 800, 11328, 2183, 8029, 825, 7711, 18878, 24709, 1477, 825, 1219, 1205, 4537, 1901, 4433, 1938, 8029, 1038, 5727, 1877, 267, 5011, 4016, 547, 519, 1297, 540, 8188, 18851, 1477, 1038, 952, 5011, 2652, 476, 272, 6769, 2018, 2132, 1975, 1877, 14052, 1038, 952, 5011, 2652, 476, 277, 6769, 2018, 2132, 28116, 14052, 1038, 7682, 476, 271, 267, 834, 289, 611, 476, 274, 291, 3337, 5137, 281, 3337, 711, 3989, 585, 834, 1341, 5011, 1341, 834, 5865, 29177, 0, 5035, 11788, 293, 5407, 281, 5897, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1582, 269, 1440, 1307, 815, 32582, 5897, 825, 1219, 5173, 4311, 267, 3970, 8029, 1038, 5727, 4024, 5173, 782, 519, 22136, 2630, 3970, 269, 5727, 1477, 1038, 1780, 5897, 825, 1219, 856, 4311, 8029, 1038, 5727, 2398, 6493, 519, 1592, 540, 22136, 4776, 12089, 609, 799, 5690, 1500, 621, 5727, 1477, 1038, 1820, 4311, 14857, 5035, 1029, 14857, 4067, 1029, 3418, 1038, 585, 6305, 538, 1582, 269, 1440, 1307, 6769, 2018, 1820, 263, 18905, 3418, 5897, 5035, 10434, 290, 10757, 28269, 293, 5407, 263, 28269, 293, 5407, 8029, 825, 1219, 5173, 4311, 267, 3970, 8029, 1038, 2182, 322, 10757, 318, 1440, 1307, 815, 1496, 273, 267, 274, 267, 276, 267, 278, 267, 1556, 267, 1724, 267, 1704, 267, 866, 267, 2537, 267, 3066, 267, 4029, 267, 4391, 267, 6078, 267, 6246, 267, 5325, 15947, 1038, 22136, 815, 1496, 15947, 1038, 585, 6305, 538, 2182, 322, 10757, 318, 1440, 1307, 6769, 2018, 952, 630, 18905, 2999, 3970, 8029, 3546, 1582, 269, 1440, 1307, 6910, 263, 18905, 3418, 5897, 5035, 9208, 28269, 293, 5407, 263, 28269, 293, 5407, 8029, 825, 1219, 5173, 4311, 267, 3970, 8029, 1038, 1582, 269, 1440, 1307, 815, 1496, 273, 15947, 1038, 1948, 2638, 1152, 9642, 2338, 23228, 1038, 585, 1297, 538, 2039, 263, 274, 267, 3970, 267, 476, 273, 8029, 2018, 568, 318, 18905, 815, 6936, 1477, 2018, 585, 6305, 538, 1582, 269, 1440, 1307, 6769, 3546, 952, 630, 15893, 4939, 6305, 2652, 476, 271, 8029, 7386, 568, 318, 18905, 815, 8771, 1477, 7386, 2736, 1477, 2018, 952, 630, 529, 318, 18905, 8029, 3546, 1582, 269, 1440, 1307, 6910, 28840, 3418, 5897, 5035, 11788, 293, 5407, 5141, 1304, 281, 5897, 825, 1219, 6449, 8181, 9191, 1345, 267, 3970, 8029, 1038, 1582, 269, 3916, 527, 815, 3970, 1477, 1038, 952, 3970, 10922, 476, 2004, 6769, 2018, 1582, 8807, 5407, 815, 10434, 290, 10757, 28269, 293, 5407, 14052, 1038, 3116, 6769, 2018, 1582, 8807, 5407, 815, 9208, 28269, 293, 5407, 31476, 825, 1219, 1205, 318, 1440, 1307, 4311, 8029, 1038, 1582, 8807, 5407, 269, 20412, 622, 4311, 269, 3916, 527, 3418, 1038, 1582, 8807, 5407, 269, 719, 14052, 0, 3698, 1930, 18316, 10031, 825, 609, 1930, 3488, 14090, 17902, 10807, 607, 4786, 18316, 912, 1038, 9864, 8548, 777, 815, 1496, 14090, 318, 1467, 25331, 29328, 3890, 585, 4786, 318, 1467, 538, 4786, 18316, 6540, 825, 2132, 9864, 8548, 777, 7531, 3698, 1293, 4671, 4181, 263, 2431, 267, 1524, 2187, 825, 2990, 815, 476, 271, 454, 825, 1297, 15058, 4671, 4181, 815, 476, 271, 692, 825, 585, 4786, 318, 1467, 538, 9864, 8548, 777, 314, 6658, 15311, 6658, 14158, 1038, 2990, 815, 630, 6570, 1341, 1318, 264, 4939, 7003, 9852, 777, 318, 1467, 994, 1038, 1297, 15058, 4671, 4181, 815, 1297, 15058, 4671, 4181, 1341, 476, 272, 952, 4786, 318, 1467, 314, 6570, 316, 2652, 1412, 258, 262, 3116, 1297, 15058, 4671, 4181, 692, 825, 2132, 1297, 15058, 4671, 4181, 7531, 258, 623, 11286, 21450, 1948, 454, 14783, 8548, 777, 815, 1930, 18316, 10797, 2745, 6262, 870, 4671, 4181, 263, 274, 267, 476, 272, 264, 9239, 258, 623, 11286, 29375, 302, 1948, 454, 24987, 815, 1293, 4671, 4181, 263, 272, 267, 476, 272, 994, 24987, 2608, 284, 1293, 4671, 4181, 263, 274, 267, 476, 272, 994, 24987, 2608, 284, 1293, 4671, 4181, 263, 276, 267, 476, 272, 994, 24987, 2608, 284, 1293, 4671, 4181, 263, 278, 267, 476, 272, 994, 24987, 2608, 284, 1293, 4671, 4181, 263, 272, 267, 476, 273, 2020, 2745, 263, 24987, 994, 0, 720, 815, 703, 9272, 2891, 21498, 373, 424, 489, 510, 14602, 502, 14091, 480, 502, 27338, 32629, 498, 14091, 359, 485, 14602, 372, 32174, 478, 424, 504, 498, 8119, 4917, 19689, 815, 703, 9272, 2891, 424, 481, 507, 14602, 376, 27338, 10563, 356, 478, 423, 480, 361, 424, 488, 369, 21498, 486, 422, 373, 490, 286, 14091, 356, 508, 424, 506, 376, 423, 358, 368, 476, 271, 10563, 499, 482, 21498, 486, 423, 358, 368, 910, 272, 8442, 2020, 720, 815, 2085, 17070, 9500, 692, 2745, 2891, 21498, 373, 424, 489, 510, 14602, 502, 14091, 363, 372, 422, 369, 511, 423, 480, 502, 27338, 32629, 498, 24333, 720, 2437, 424, 480, 368, 10563, 508, 483, 21498, 486, 30319, 1701, 264, 0, 5814, 4351, 692, 4289, 815, 11713, 322, 2867, 815, 476, 271, 454, 31037, 2867, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 1015, 2187, 825, 1592, 6910, 263, 12690, 27110, 263, 271, 267, 736, 11723, 1721, 1775, 538, 1592, 912, 825, 1820, 9217, 994, 825, 952, 1775, 11203, 476, 271, 912, 1038, 952, 1775, 4939, 476, 273, 2652, 476, 271, 912, 2018, 1750, 339, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 27394, 2867, 6834, 476, 272, 692, 2745, 2891, 290, 2867, 281, 24001, 715, 1815, 2867, 281, 24001, 2668, 8971, 6262, 2867, 267, 31037, 2867, 4917 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2487, 1296, 267, 972, 814, 1044, 513, 3395, 3350, 2509, 6220, 15594, 5380, 883, 519, 1353, 540, 2979, 1686, 269, 1452, 5380, 3343, 547, 10625, 543, 2232, 519, 11528, 12886, 602, 723, 3366, 547, 519, 896, 10517, 19948, 540, 1978, 2516, 538, 6128, 267, 1247, 849, 10223, 519, 1271, 7418, 1500, 676, 891, 1419, 15763, 22697, 780, 3080, 1883, 1523, 1369, 15594, 5380, 593, 2979, 1686, 568, 519, 2856, 540, 834, 30241, 515, 614, 517, 768, 18356, 2437, 610, 519, 13429, 602, 2757, 4008, 5107, 543, 4638, 31223, 616, 2067, 543, 3339, 269, 901, 16809, 814, 1185, 1713, 5222, 593, 519, 2361, 540, 6128, 267, 3056, 547, 519, 17181, 540, 1346, 945, 798, 711, 3514, 883, 891, 7522, 6688, 269, 1280, 1383, 267, 2021, 723, 13840, 1044, 27209, 689, 13197, 6310, 11678, 1813, 547, 6848, 6788, 827, 741, 6469, 9021, 269, 6684, 267, 11806, 266, 22697, 723, 5185, 7130, 543, 14882, 267, 1818, 621, 2352, 585, 873, 547, 8011, 538, 519, 2361, 780, 5194, 1271, 1523, 568, 834, 5793, 7611, 1275, 2437, 799, 4016, 547, 519, 2081, 538, 799, 1114, 3029, 540, 15746, 630, 7945, 607, 10168, 267, 3023, 1143, 267, 543, 4630, 22785, 264, 12969, 543, 16937, 269, 28249, 1275, 8711, 519, 1249, 602, 2043, 1995, 2789, 3029, 540, 7130, 8195, 267, 543, 602, 5466, 835, 1106, 540, 15746, 1510, 6236, 922, 2078, 547, 1866, 666, 28511, 2417, 2800, 269, 769, 519, 2796, 540, 2979, 1686, 267, 28622, 14405, 3007, 547, 519, 2189, 2591, 5185, 676, 2021, 540, 2681, 267, 20210, 2021, 267, 543, 824, 12790, 2516, 1369, 519, 2361, 780, 288, 3791, 1883, 1523, 568, 834, 1056, 4812, 3069, 2437, 799, 13187, 602, 1702, 568, 13998, 13883, 543, 602, 12790, 2950, 723, 3407, 4030, 543, 5380, 547, 2709, 269, 5776, 4812, 3069, 11363, 519, 2956, 540, 6947, 547, 543, 7586, 4328, 519, 9739, 540, 1346, 945, 723, 1044, 12926, 16934, 689, 6310, 11407, 269, 1635, 1298, 1359, 519, 2833, 543, 6791, 540, 12790, 2950, 267, 29459, 3069, 11394, 547, 4161, 8789, 6386, 543, 3895, 3152, 9698, 543, 13784, 538, 6128, 780, 3383, 875, 1281, 782, 540, 713, 1921, 547, 1699, 3466, 543, 1483, 8996, 1806, 286, 2290, 2487, 1383, 2501, 689, 519, 15784, 4478, 519, 8366, 532, 540, 519, 20380, 29425, 29274, 267, 2808, 519, 17587, 15356, 540, 9119, 267, 547, 6307, 600, 19257, 345, 752, 7315, 328, 538, 476, 1001, 275, 269, 2755, 1200, 9740, 729, 9976, 676, 1082, 267, 1866, 20402, 2436, 1352, 729, 5963, 964, 6326, 540, 519, 8956, 267, 11021, 602, 1200, 960, 729, 1447, 11826, 982, 602, 540, 1200, 5256, 13413, 269, 901, 2186, 540, 25949, 543, 22987, 568, 711, 16613, 585, 2021, 543, 824, 12790, 22697, 267, 945, 1590, 7683, 6961, 2933, 538, 1931, 547, 581, 3144, 12517, 780, 11101, 267, 5103, 3356, 538, 2487, 5756, 267, 2021, 543, 4008, 1875, 935, 14127, 2043, 3136, 547, 581, 26173, 538, 6310, 5238, 543, 12326, 269, 4340, 547, 513, 1867, 676, 519, 1977, 19556, 5980, 267, 1152, 476, 3607, 260, 540, 4387, 919, 538, 6128, 941, 13752, 547, 2021, 538, 476, 1001, 278, 267, 1524, 689, 476, 2412, 260, 538, 476, 1220, 271, 269, 3958, 267, 513, 1353, 3370, 538, 519, 4760, 7186, 1336, 602, 4930, 30363, 676, 2021, 941, 7608, 693, 2539, 3928, 982, 1346, 30363, 676, 2367, 267, 1256, 950, 9013, 585, 2188, 971, 607, 2298, 543, 10083, 780, 2414, 2232, 891, 5571, 13103, 267, 621, 568, 1898, 547, 6451, 15594, 5380, 883, 519, 1353, 540, 2979, 1686, 269, 1635, 6313, 519, 3140, 5072, 540, 11528, 9186, 543, 17979, 267, 649, 666, 2253, 547, 24905, 548, 519, 3889, 602, 28511, 8635, 543, 1711, 811, 8537, 5624, 585, 782, 22697, 269, 901, 1522, 4125, 556, 8586, 9499, 547, 1331, 519, 7418, 540, 12790, 22697, 267, 7598, 4763, 2866, 3292, 585, 12200, 543, 5234, 267, 610, 2870, 30023, 3255, 585, 26173, 1053, 780, 1103, 3932, 267, 15594, 5380, 593, 2979, 1686, 2709, 513, 2565, 7828, 998, 799, 547, 4983, 519, 2361, 781, 2250, 543, 1459, 269, 1635, 4101, 28250, 515, 614, 517, 768, 894, 10054, 267, 8508, 28622, 267, 543, 6173, 908, 12790, 9739, 267, 649, 666, 960, 2509, 513, 811, 12581, 543, 3309, 6310, 2146, 269, 1306, 7855, 543, 5640, 267, 621, 568, 938, 5539, 547, 4497, 609, 891, 5380, 543, 8362, 5706, 519, 4229, 540, 15746, 602, 723, 8032, 2979, 1686, 585, 2484, 1932, 1279, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9349, 634, 8892, 1772, 8751, 6563, 476, 1704, 18370, 8826, 5525, 454, 9349, 634, 8892, 1772, 8751, 6563, 476, 1704, 18370, 8826, 5525, 454, 763, 4359, 1433, 519, 2104, 568, 14182, 476, 1704, 585, 713, 17003, 9637, 1935, 949, 590, 22218, 13175, 676, 835, 540, 519, 7292, 4441, 540, 31546, 15066, 1949, 538, 799, 519, 851, 568, 9619, 267, 585, 10103, 519, 2790, 610, 519, 2797, 6138, 263, 4858, 527, 28086, 476, 2735, 275, 282, 674, 13831, 476, 1960, 276, 282, 16019, 476, 1960, 272, 282, 16019, 543, 654, 1157, 839, 476, 1960, 272, 1040, 589, 1808, 16794, 568, 585, 1603, 519, 1382, 610, 1747, 1935, 540, 519, 9866, 3569, 11571, 267, 799, 568, 519, 1533, 543, 960, 540, 28250, 16303, 1143, 269, 589, 17009, 520, 540, 824, 8617, 6127, 1134, 2016, 1974, 9637, 263, 4110, 264, 547, 5855, 1210, 540, 6205, 2634, 711, 609, 2111, 15594, 960, 4960, 547, 2061, 521, 17254, 600, 564, 637, 693, 513, 19725, 543, 547, 581, 519, 1433, 540, 4521, 1063, 4935, 1950, 2687, 2361, 5380, 263, 645, 756, 15927, 1696, 620, 269, 476, 1960, 276, 282, 26054, 543, 24622, 1067, 476, 1960, 276, 282, 12928, 29793, 879, 577, 543, 26054, 476, 1220, 272, 282, 654, 26413, 24329, 1696, 620, 269, 2311, 519, 3109, 2034, 267, 519, 1533, 540, 1016, 538, 513, 3043, 543, 22257, 3993, 3091, 1634, 1634, 547, 5604, 269, 1174, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 655, 21442, 21126, 593, 4569, 3778, 257, 607, 851, 540, 834, 21316, 30388, 1315, 3778, 1299, 13898, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 1576, 1770, 593, 14769, 2359, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 1945, 1572, 834, 14490, 26027, 1701, 901, 1523, 1522, 3280, 7294, 693, 1101, 267, 855, 1810, 1405, 5855, 910, 594, 9153, 621, 786, 1118, 2631, 4166, 780, 5331, 596, 723, 930, 2724, 10710, 909, 602, 596, 1616, 547, 1902, 269, 1411, 1223, 2322, 782, 707, 5798, 538, 835, 11127, 267, 865, 547, 3717, 267, 543, 2322, 782, 540, 707, 2724, 883, 1175, 835, 6006, 610, 6125, 269, 1809, 1018, 952, 602, 5092, 3085, 1405, 1685, 1134, 286, 1411, 1223, 1439, 909, 9561, 513, 2603, 540, 707, 2182, 268, 792, 2740, 6666, 2439, 6546, 781, 1141, 1981, 26027, 2501, 538, 269, 2060, 713, 1935, 267, 3079, 540, 8380, 782, 707, 2724, 883, 835, 1826, 540, 5092, 267, 596, 3262, 621, 856, 14961, 1851, 1114, 2010, 540, 9541, 269, 2334, 1259, 267, 952, 835, 5092, 4422, 1524, 538, 1871, 267, 621, 4465, 1405, 10413, 596, 1932, 1454, 1317, 596, 1869, 723, 824, 9541, 602, 949, 581, 3257, 1134, 780, 4131, 781, 946, 606, 1383, 547, 948, 9414, 713, 2856, 269, 5994, 596, 723, 1269, 272, 267, 1822, 547, 1902, 269, 5502, 540, 8380, 782, 540, 621, 883, 835, 2754, 781, 6006, 267, 596, 6430, 547, 7941, 621, 8449, 1063, 2185, 1114, 2010, 540, 9541, 281, 13632, 267, 7554, 267, 1483, 10040, 267, 543, 21113, 899, 4154, 610, 3282, 269, 1924, 596, 1131, 2322, 1269, 7742, 883, 1142, 7121, 780, 3086, 1577, 781, 2161, 602, 936, 942, 267, 519, 6006, 2344, 3217, 513, 5734, 543, 519, 1871, 540, 707, 6006, 9541, 12772, 676, 476, 736, 10065, 2334, 1797, 596, 4312, 4503, 1269, 2004, 18121, 7742, 1535, 476, 736, 8472, 540, 707, 3312, 5092, 538, 13632, 269, 1809, 1934, 781, 519, 1434, 3377, 281, 1247, 707, 6006, 9541, 941, 21177, 267, 707, 824, 1614, 6688, 1522, 723, 1044, 7900, 1732, 256, 9320, 707, 6125, 9541, 4682, 909, 538, 1871, 676, 476, 276, 9077, 707, 1483, 10040, 9541, 18423, 11931, 267, 543, 707, 21113, 4682, 909, 676, 476, 1015, 260, 780, 2691, 596, 1039, 909, 519, 12374, 543, 9271, 538, 1142, 7121, 267, 596, 1265, 602, 2949, 267, 596, 1152, 4503, 476, 276, 260, 540, 707, 3003, 14769, 269, 2334, 781, 1317, 10825, 707, 9541, 1472, 1210, 513, 1981, 26027, 1935, 5280, 2149, 596, 689, 2462, 9271, 950, 835, 1880, 1858, 7012, 1405, 3257, 1134, 780, 8170, 1576, 267, 972, 781, 1100, 10018, 602, 1022, 5092, 4640, 786, 2141, 960, 9985, 269, 29714, 979, 909, 543, 1524, 782, 519, 942, 267, 543, 3006, 3388, 4667, 547, 6749, 1927, 269, 1809, 1382, 814, 3254, 602, 1210, 513, 1981, 26027, 1935, 666, 1419, 1267, 538, 8669, 1512, 7024, 936, 519, 1279, 2165, 3379, 547, 10115, 782, 707, 2724, 538, 1175, 835, 3364, 780, 3383, 1946, 1281, 713, 2339, 585, 721, 2221, 286, 4270, 267, 4952, 1373, 513, 2883, 6205, 3843, 547, 948, 4213, 3082, 547, 513, 4657, 1158, 269, 1703, 616, 1082, 4220, 3238, 538, 1818, 891, 5686, 540, 3664, 1107, 2523, 950, 621, 2501, 547, 5466, 2152, 899, 2916, 1689, 269, 1635, 1620, 2035, 899, 1981, 26027, 267, 596, 3513, 581, 1732, 9280, 547, 4383, 1346, 4220, 543, 1118, 5100, 5079, 827, 1141, 547, 1902, 2200, 269, 1656, 945, 6487, 286, 2290, 1554, 267, 6148, 9358, 786, 581, 3056, 519, 5279, 2509, 513, 22928, 2104, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 12794, 553, 3427, 540, 6355, 568, 22745, 519, 1101, 2875, 21445, 8693, 10298, 8750, 267, 519, 5767, 1840, 547, 922, 3102, 6437, 547, 16491, 519, 1985, 5108, 540, 1870, 3401, 609, 519, 2883, 1983, 547, 17108, 519, 5912, 547, 513, 1970, 28003, 4346, 563, 24375, 940, 538, 2887, 476, 1708, 275, 267, 32233, 1053, 666, 18934, 538, 513, 1007, 1576, 1141, 789, 4196, 607, 5092, 9946, 585, 519, 1269, 273, 269, 4391, 2929, 2508, 267, 1565, 875, 547, 2497, 14104, 538, 1950, 4357, 6990, 676, 1071, 2987, 4034, 532, 538, 1483, 8996, 9388, 5059, 593, 3435, 547, 2916, 1689, 563, 2108, 2026, 519, 1158, 7575, 4724, 513, 3804, 540, 2121, 25179, 3327, 5434, 676, 476, 13078, 271, 267, 649, 991, 2883, 3401, 609, 519, 1983, 547, 6330, 519, 2804, 4838, 649, 616, 6849, 2223, 3081, 7905, 1520, 1515, 5651, 572, 267, 1071, 1922, 10133, 540, 519, 306, 20980, 543, 8177, 16010, 4741, 630, 6347, 9281, 1070, 945, 22885, 540, 519, 2508, 543, 786, 1291, 519, 1576, 269, 968, 1607, 2804, 4838, 786, 581, 31417, 569, 26688, 2943, 786, 849, 581, 513, 2707, 540, 811, 1870, 3255, 2066, 782, 2694, 540, 519, 2197, 982, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 32391, 3474, 640, 13979, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 7767, 906, 1299, 1530, 15247, 1315, 5800, 12859, 5004, 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, 7170, 281, 1215, 547, 15233, 5274, 2065, 22604, 538, 29960, 692, 272, 269, 13760, 5274, 2065, 10017, 281, 6969, 7311, 1480, 2065, 4485, 538, 13508, 267, 621, 568, 1898, 547, 1174, 1018, 1480, 2065, 6530, 14122, 269, 901, 1935, 6212, 593, 519, 3003, 1268, 267, 2921, 883, 2272, 741, 4555, 267, 4606, 267, 3527, 267, 543, 2123, 1686, 269, 898, 5784, 2043, 607, 2189, 7919 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20692, 4414, 11276, 267, 606, 12314, 7548, 693, 519, 30803, 543, 4643, 8767, 12524, 693, 519, 2160, 540, 14151, 267, 5143, 11426, 28914, 269, 968, 6546, 779, 1018, 649, 4076, 2944, 538, 2230, 269, 5272, 942, 513, 14361, 8255, 856, 540, 4492, 1107, 543, 621, 1223, 581, 513, 9985, 2324, 14361, 1107, 596, 6749, 621, 543, 10131, 513, 1007, 31139, 269, 1496, 7021, 942, 316, 1919, 18061, 909, 3034, 763, 1966, 267, 646, 1767, 267, 568, 835, 540, 15287, 281, 1312, 12777, 543, 19562, 8271, 269, 968, 22129, 568, 2186, 540, 513, 10770, 1966, 2223, 4414, 11276, 6941, 269, 968, 2005, 779, 711, 899, 606, 2825, 9568, 267, 568, 621, 286, 1411, 917, 267, 972, 779, 606, 3282, 21383, 267, 596, 1294, 519, 10652, 15092, 4988, 538, 3282, 267, 602, 779, 4929, 513, 1471, 30844, 5114, 269, 1411, 1397, 3025, 513, 12297, 538, 519, 6607, 543, 1034, 1004, 1810, 1406, 1416, 269, 898, 779, 899, 267, 1946, 1058, 594, 5855, 1107, 2394, 519, 1591, 6049, 13515, 2324, 610, 519, 15870, 13515, 2324, 610, 519, 11176, 13515, 4730, 593, 519, 7641, 269, 3973, 1004, 2746, 3034, 300, 3019, 10739, 1790, 3326, 5024, 11935, 454, 4407, 2230, 22938, 538, 10739, 814, 4607, 513, 2370, 3007, 267, 519, 1966, 540, 2230, 22938, 593, 519, 7599, 814, 1044, 7361, 20114, 269, 2334, 779, 1317, 713, 3884, 1406, 513, 1966, 693, 2547, 585, 519, 942, 1373, 563, 3528, 4414, 11276, 779, 1378, 16075, 267, 519, 16264, 20771, 8756, 568, 4867, 5266, 2312, 269, 22702, 547, 519, 5215, 540, 17048, 539, 3615, 28835, 519, 3047, 267, 972, 616, 1152, 513, 1906, 18797, 31139, 338, 28835, 519, 9855, 269, 2986, 519, 1507, 19625, 540, 15408, 28835, 519, 7599, 267, 519, 1152, 8037, 630, 335, 1601, 4601, 519, 1152, 835, 538, 2407, 264, 616, 519, 8331, 30803, 26532, 18590, 2107, 321, 3438, 267, 1079, 3203, 28087, 14361, 630, 303, 272, 543, 623, 273, 264, 543, 3624, 779, 26284, 685, 324, 476, 276, 6874, 272, 269, 2334, 779, 1447, 20316, 982, 519, 6697, 540, 31986, 1776, 1286, 593, 513, 3818, 16923, 5397, 998, 6917, 29131, 563, 288, 1523, 3239, 540, 519, 3203, 28087, 476, 272, 2107, 542, 23555, 269, 8331, 454, 3719, 1175, 1317, 621, 779, 29131, 2221, 3085, 1406, 1611, 621, 4465, 1406, 581, 519, 19814, 538, 15829, 14182, 269, 2107, 267, 547, 2057, 608, 12000, 3130, 267, 693, 2547, 513, 2603, 1668, 1512, 982, 1631, 563, 14071, 1185, 519, 1101, 3408, 540, 519, 7599, 538, 519, 1496, 3422, 271, 338, 316, 685, 1767, 4414, 11276, 269, 968, 10190, 972, 729, 513, 9602, 1974, 538, 519, 1647, 267, 519, 2063, 476, 2004, 1296, 610, 865, 269, 1809, 1631, 972, 568, 513, 17105, 1719, 538, 16264, 3408, 269, 3683, 519, 1985, 5216, 1296, 267, 649, 2503, 909, 547, 476, 2004, 31139, 338, 547, 979, 547, 519, 7599, 269, 1284, 1616, 547, 2057, 519, 2186, 540, 3510, 649, 723, 593, 3047, 1496, 339, 1136, 1747, 316, 1472, 519, 7599, 267, 849, 538, 10739, 1472, 519, 7599, 3034, 1607, 666, 849, 581, 26688, 547, 15408, 543, 5732, 5906, 585, 2230, 4148, 2074, 267, 1312, 609, 543, 1510, 12284, 563, 763, 2856, 540, 30082, 16042, 2011, 6808, 1852, 568, 540, 1576, 711, 1007, 269, 898, 568, 4010, 1018, 5949, 609, 2757, 18714, 2011, 6808, 1852, 269, 634, 1101, 3978, 3646, 547, 1020, 3652, 585, 519, 15569, 543, 1852, 540, 2011, 6808, 3357, 538, 476, 4572, 273, 267, 1896, 1296, 1310, 519, 22305, 1116, 4139, 5794, 13482, 540, 476, 4489, 280, 269, 634, 1101, 1268, 547, 13166, 1289, 5128, 513, 3318, 2011, 6808, 17120, 267, 1488, 2151, 13477, 689, 853, 269, 8402, 267, 16713, 267, 3459, 5665, 538, 476, 4572, 280, 269, 4014, 2011, 2951, 729, 4098, 547, 1491, 1055, 693, 602, 942, 630, 335, 684, 10859, 10784, 2105, 1070, 621, 729, 1869, 538, 922, 26638, 3379, 547, 1018, 621, 729, 547, 1831, 269, 2060, 476, 15876, 267, 1822, 15915, 10760, 883, 519, 2475, 538, 476, 4572, 280, 267, 3379, 547, 476, 280, 2918, 2929, 15915, 5645, 538, 476, 1001, 280, 267, 519, 22839, 14201, 1406, 4010, 22125, 269, 11048, 267, 621, 729, 2808, 602, 513, 3070, 729, 2877, 267, 1256, 952, 621, 729, 4440, 1759, 593, 4397, 2208, 563, 8072, 296, 2097, 689, 519, 1158, 540, 9477, 30563, 20371, 2026, 519, 6031, 4422, 267, 519, 1101, 1900, 538, 6061, 513, 1966, 568, 547, 5431, 602, 972, 568, 513, 1966, 547, 2253, 609, 269, 1717, 267, 950, 621, 2501, 547, 6061, 513, 1966, 540, 713, 6988, 267, 16153, 1154, 519, 1966, 568, 2484, 689, 519, 7887, 19224, 548, 269, 18641, 267, 4414, 11276, 1767, 267, 693, 2547, 7620, 267, 602, 1082, 540, 519, 1699, 4066, 1031, 585, 9477, 3615, 689, 3047, 1223, 581, 1031, 585, 9477, 16264, 25057, 563, 16446, 11276, 543, 1010, 1053, 693, 519, 30803, 543, 4643, 8767, 12524, 946, 2027, 8596, 538, 519, 6280, 779, 4437, 14459, 476, 273, 1382, 9744, 547, 21656, 28250, 331, 12762, 3615, 269, 901, 24194, 540, 3937, 2882, 2789, 24985, 6131, 547, 519, 4656, 540, 519, 2230, 6389, 267, 1519, 835, 3710, 676, 513, 1895, 540, 4702, 1053, 689, 519, 2160, 540, 14151, 563, 28317, 2603, 666, 581, 2944, 609, 621, 892, 1496, 1492, 2666, 2861, 9804, 24985, 316, 649, 2907, 723, 585, 3257, 2520, 739, 566, 776, 1919, 2223, 4414, 11276, 1767, 269, 968, 2005, 779, 1175, 602, 789, 2461, 21260, 267, 865, 596, 723, 547, 16616, 519, 3239, 585, 513, 1279, 942, 543, 1205, 513, 4605, 602, 779, 4514, 3034, 14367, 1378, 4282, 267, 646, 7074, 267, 568, 968, 10852, 569, 7255, 609, 19236, 8878, 1848, 968, 296, 2097, 689, 519, 1158, 540, 20503, 9477, 267, 865, 513, 2603, 540, 519, 2645, 649, 4019, 547, 713, 1880, 1966, 7048, 593, 19236, 8878, 2645, 543, 4066, 2223, 646, 6045, 269, 968, 763, 20503, 2146, 814, 1044, 9477, 1360, 1507, 3615, 2484, 689, 3047, 585, 5756, 269, 1284, 946, 513, 2603, 540, 519, 3301, 543, 2553, 1496, 1721, 713, 1788, 316, 31334, 454, 296, 1616, 547, 581, 513, 7599, 2203, 454, 763, 10700, 3804, 540, 713, 1788, 2443, 543, 621, 779, 2907, 2417, 2059, 982, 596, 1522, 1589, 2443, 568, 547, 1628, 513, 2203, 602, 8308, 2982, 1022, 1843, 28835, 519, 7599, 269, 898, 786, 1287, 5031, 2009, 8580, 17313, 630, 1492, 16681, 2230, 2165, 585, 26301, 264, 1063, 891, 3615, 543, 3742, 31139, 338, 269, 4414, 11276, 1767, 519, 1907, 786, 581, 1031, 713, 1032, 585, 519, 10131, 540, 3203, 28087, 476, 272, 267, 519, 26813, 540, 8331, 779, 2706, 13463, 8283, 10131, 6174, 267, 799, 6663, 547, 6494, 606, 30313, 2740, 2107, 542, 14361, 883, 1427, 5766, 8565, 10739, 540, 519, 7599, 563, 763, 3173, 616, 849, 1818, 741, 2203, 2139, 547, 4357, 2230, 3549, 269, 968, 2252, 513, 10672, 2501, 909, 547, 721, 543, 3081, 267, 2048, 20756, 267, 649, 2461, 3257, 713, 5692, 547, 519, 7599, 267, 666, 596, 5225, 2638, 585, 8580, 17313, 286, 685, 8786, 267, 2386, 2223, 1767, 4414, 11276, 269, 968, 6546, 779, 513, 3028, 649, 2461, 2469, 547, 1683, 269, 1284, 1616, 547, 2057, 2870, 3653, 269, 898, 779, 811, 960, 585, 721, 547, 1832, 3950, 540, 513, 2603, 540, 1919, 269, 3502, 602, 649, 2461, 27823, 267, 855, 952, 649, 666, 2057, 543, 1832, 1496, 331, 12762, 10739, 316, 2973, 267, 602, 779, 1732, 585, 782, 540, 721, 3034, 288, 1434, 2243, 568, 875, 1454, 11268, 1379, 971, 513, 2230, 6808, 1852, 1062, 1131, 723, 269, 1280, 519, 19160, 540, 4661, 267, 1577, 779, 2161, 513, 4457, 9682, 13514, 513, 2009, 16650, 3463, 547, 513, 2475, 2230, 10131, 2443, 610, 267, 607, 713, 2011, 11898, 3587, 811, 20651, 267, 1079, 14742, 1981, 513, 2009, 16580, 269, 5808, 786, 581, 519, 835, 547, 3409, 1318, 540, 1259, 538, 513, 2009, 9813, 9269, 3014, 286, 5262, 2159, 2243, 269, 968, 296, 1810, 1406, 1589, 649, 723, 1022, 11268, 4390, 2223, 4414, 11276, 1767, 269, 968, 1607, 568, 811, 540, 606, 4081, 3635, 1496, 2431, 1631, 316, 31334, 454, 5194, 2104, 4161, 267, 2943, 547, 581, 10002, 17977, 267, 1223, 581, 22745, 4890, 2230, 13485, 547, 11766, 3606, 20771, 7221, 602, 666, 948, 6895, 2127, 711, 7298, 689, 3047, 267, 971, 607, 3615, 6456, 3297, 519, 7599, 269, 1547, 630, 8005, 6487, 281, 901, 1223, 1256, 4196, 607, 513, 4693, 2196, 585, 2147, 7341, 593, 824, 10785, 899, 9370, 267, 799, 1131, 2154, 519, 4070, 540, 4625, 1007, 5989, 1813, 547, 519, 7411, 540, 9477, 873, 689, 3047, 1848, 594, 1589, 649, 2461, 2907, 4058, 547, 798, 1945, 827, 519, 2359, 540, 2230, 6808, 1472, 9370, 2223, 646, 1767, 8094, 2690, 1631, 267, 1498, 267, 519, 2319, 786, 581, 6126, 952, 713, 6169, 540, 1523, 18327, 922, 1871, 607, 513, 1907, 547, 1489, 938, 5571, 2230, 4690, 2443, 543, 556, 11779, 548, 519, 22906, 609, 519, 7599, 563, 2108, 5978, 3804, 568, 547, 1577, 713, 9921, 543, 1397, 602, 1945, 899, 713, 666, 581, 9738, 543, 581, 3730, 2223, 1767, 4414, 11276, 269, 968, 10190, 649, 1780, 621, 593, 547, 519, 1004, 945, 723, 519, 1483, 5539, 547, 1832, 713, 2469, 1848, 0, 23737, 519, 3844, 3970, 11532, 563, 2005, 568, 513, 1505, 547, 1265, 17831, 609, 3732, 803, 9172, 269, 3245, 713, 11532, 519, 519, 1611, 540, 513, 3732, 1058, 581, 2673, 547, 519, 1611, 540, 513, 2551, 269, 634, 3677, 519, 3732, 519, 6251, 547, 519, 1611, 543, 519, 4130, 519, 3044, 11539, 563, 23338, 3970, 11532, 3081, 602, 519, 1611, 540, 513, 1804, 4351, 3732, 689, 513, 2551, 568, 899, 513, 2582, 8343, 689, 513, 2551, 2348, 513, 3339, 3892, 269, 634, 3677, 519, 3732, 519, 811, 519, 10386, 3892, 20998, 513, 3339, 3892, 563, 2690, 1022, 2551, 3892, 609, 1611, 13179, 543, 3044, 11539, 21566, 267, 519, 10386, 3892, 540, 519, 3732, 1611, 2473, 568, 5111, 3339, 609, 1611, 13179, 543, 3044, 11539, 21566, 270, 18414, 333, 267, 543, 519, 19406, 10607, 607, 562, 4679, 269, 901, 568, 1572, 519, 6239, 3970, 11532, 563, 2691, 596, 2040, 610, 3328, 562, 14477, 5697, 2418, 689, 1022, 3892, 267, 3339, 610, 6382, 267, 519, 3892, 540, 519, 2040, 610, 3328, 568, 5111, 3339, 267, 3177, 602, 562, 568, 18481, 1804, 269, 0, 11854, 3663, 4197, 2433, 9717, 606, 19039, 766, 689, 513, 3593, 267, 2697, 519, 1808, 7662, 1500, 676, 519, 3593, 269, 589, 2203, 540, 713, 1966, 1131, 1450, 513, 1982, 547, 1174, 543, 1118, 606, 3801, 547, 30593, 602, 7662, 269, 634, 21236, 609, 11184, 328, 814, 713, 12588, 563, 293, 864, 24544, 2433, 9717, 513, 3059, 8666, 17581, 540, 1082, 7366, 540, 3059, 11147, 267, 2697, 1346, 6337, 602, 1331, 513, 2016, 1268, 269, 589, 2203, 540, 713, 3375, 1184, 1131, 1450, 513, 1982, 547, 10891, 6337, 676, 1268, 269, 2368, 12514, 543, 3301, 899, 1775, 20124, 814, 713, 12588, 563, 7078, 540, 8131, 24544, 538, 513, 17421, 563, 20124, 676, 32275, 269, 2048, 560, 334, 13397, 10234, 896, 513, 21922, 27691, 732, 2704, 833, 476, 273, 269, 271, 9198, 545, 11300, 12780, 17821, 563, 29410, 24805, 566, 2433, 9717, 513, 6718, 1686, 585, 513, 6075, 543, 513, 1804, 11891, 540, 2472, 267, 2697, 1346, 2472, 538, 799, 602, 6075, 786, 581, 5461, 543, 2693, 547, 6718, 269, 589, 2203, 540, 713, 3375, 1184, 1131, 1450, 513, 1982, 547, 1118, 7840, 547, 513, 6075, 543, 18663, 1587, 16306, 269, 8835, 814, 713, 12588, 269, 4746, 1589, 540, 9365, 267, 5616, 31936, 543, 21912, 1103, 602, 4363, 3755, 547, 1921, 609, 596, 1310, 596, 1129, 5346, 563, 21357, 23369, 2433, 9717, 519, 2589, 17820, 538, 513, 3461, 543, 513, 6538, 540, 26687, 1242, 3461, 5638, 267, 3589, 2436, 519, 3461, 568, 2693, 547, 723, 606, 4576, 269, 589, 2203, 540, 713, 3375, 1966, 1223, 581, 1031, 676, 513, 1982, 547, 1683, 3375, 1489, 547, 2564, 4648, 269, 0, 7437, 22747, 543, 678, 3424, 14860, 779, 563, 300, 698, 2742, 568, 513, 5277, 7848, 540, 25183, 543, 10859, 25183, 4224, 538, 519, 25136, 9944, 519, 3618, 779, 12933, 563, 300, 698, 2742, 849, 3568, 15702, 9362, 630, 713, 568, 1883, 3738, 543, 16358, 1242, 6886, 269, 898, 779, 1459, 538, 22836, 1634, 607, 29351, 20830, 563, 300, 698, 2742, 568, 17512, 3745, 3905, 1107, 476, 10384, 547, 476, 9873, 271, 5232, 17622, 3905, 256, 630, 4248, 1630, 2812, 693, 476, 1911, 5232, 17622, 994, 6944, 9009, 547, 2442, 3661, 267, 621, 2501, 689 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2564, 5868, 267, 21084, 607, 1134, 607, 3797, 540, 5959, 2175, 543, 849, 1644, 13542, 269, 634, 3924, 568, 11338, 3810, 10097, 607, 1134, 607, 3091, 513, 8748, 2816, 2344, 269, 13966, 609, 519, 1114, 3344, 540, 5711, 6646, 267, 5959, 6391, 5161, 540, 16326, 543, 7231, 609, 1004, 269, 898, 568, 606, 1858, 540, 4915, 602, 30211, 593, 1818, 1978, 602, 5959, 1072, 568, 2635, 269, 3958, 267, 621, 814, 9118, 2640, 269, 0, 288, 5339, 1686, 540, 938, 1034, 9565, 1433, 540, 782, 942, 267, 676, 606, 10228, 16159, 543, 29842, 534, 17308, 769, 938, 2528, 267, 519, 6426, 568, 1395, 18070, 281, 898, 568, 513, 4015, 540, 2835, 602, 814, 1044, 24240, 543, 17946, 718, 1263, 539, 2094, 519, 9998, 2395, 540, 519, 4168, 5939, 269, 634, 2856, 540, 519, 6426, 607, 834, 295, 8432, 23075, 2437, 513, 1875, 268, 10864, 582, 4192, 6392, 2786, 689, 2696, 267, 814, 7173, 9229, 538, 5375, 2486, 585, 930, 942, 269, 1656, 1247, 621, 2488, 513, 6109, 5748, 585, 5553, 540, 4168, 3450, 267, 621, 3954, 625, 519, 3178, 267, 3099, 267, 543, 17381, 540, 713, 4241, 1257, 269, 769, 589, 3778, 540, 519, 6426, 267, 3627, 19258, 517, 13187, 602, 519, 6426, 568, 711, 513, 13310, 547, 513, 2347, 267, 6378, 3909, 1062, 267, 855, 2864, 513, 1587, 540, 513, 1279, 543, 10578, 1184, 267, 799, 814, 6273, 17194, 543, 8567, 267, 855, 1869, 1281, 711, 4766, 519, 2898, 540, 2901, 4984, 269, 19258, 517, 2982, 875, 519, 6426, 568, 8197, 606, 1271, 2707, 540, 3909, 5813, 585, 7642, 543, 10271, 7567, 267, 2943, 13187, 602, 621, 1590, 581, 1224, 538, 922, 3140, 2796, 734, 5228, 922, 20297, 538, 7242, 543, 18691, 547, 922, 1082, 12496, 2429, 519, 5553, 269, 898, 568, 513, 1433, 2407, 540, 6386, 267, 4031, 267, 605, 18690, 267, 16322, 2886, 267, 9954, 267, 543, 5022, 267, 1142, 609, 741, 1378, 1915, 543, 5169, 2984, 269, 19258, 517, 6941, 875, 543, 676, 7247, 891, 19635, 4773, 941, 2854, 267, 875, 789, 941, 17374, 1242, 630, 663, 799, 3283, 14201, 1405, 1070, 543, 875, 789, 941, 19632, 267, 22412, 730, 267, 543, 14648, 1472, 519, 1158, 734, 663, 267, 11932, 267, 547, 1018, 1198, 269, 11086, 267, 589, 3778, 540, 519, 6426, 13187, 602, 513, 9488, 1620, 540, 519, 1686, 543, 2796, 540, 922, 1603, 7512, 3909, 2950, 547, 1847, 2476, 689, 519, 6426, 781, 21055, 2262, 532, 734, 6518, 568, 7543, 547, 3313, 734, 663, 1445, 3079, 593, 519, 6626, 10096, 540, 27403, 563, 262, 291, 4593, 1478, 532, 6196, 11620, 17959, 262, 8214, 956, 519, 1082, 2055, 1053, 2307, 950, 2542, 519, 2835, 540, 19606, 267, 31519, 543, 15656, 585, 519, 1101, 942, 269, 3220, 269, 25453, 11339, 5693, 267, 1210, 3362, 6956, 2474, 585, 4896, 6998, 9921, 2055, 827, 519, 6196, 11620, 269, 634, 1433, 568, 606, 4998, 1257, 585, 4098, 519, 1353, 540, 519, 6196, 11620, 267, 543, 568, 2523, 28110, 547, 4901, 3898, 563, 262, 27670, 3733, 2195, 543, 10513, 23089, 538, 519, 6196, 11620, 262, 12116, 519, 13400, 6386, 799, 4766, 519, 8129, 540, 13411, 4025, 269, 898, 13187, 585, 519, 18774, 523, 2065, 5169, 610, 2699, 9146, 540, 1034, 540, 891, 6386, 269, 8422, 3844, 2055, 616, 9619, 281, 616, 972, 1455, 2934, 538, 13400, 6589, 827, 519, 5748, 540, 4025, 540, 10847, 282, 616, 972, 2609, 538, 519, 513, 564, 8344, 2984, 602, 7866, 519, 1412, 9418, 262, 13299, 270, 761, 783, 338, 540, 519, 25113, 282, 1018, 941, 519, 6381, 540, 519, 5137, 540, 971, 6386, 888, 24679, 729, 1247, 11264, 519, 1459, 4320, 602, 1250, 9393, 5747, 10393, 693, 1010, 1753, 538, 19090, 267, 1473, 269, 4438, 519, 8545, 2395, 540, 1010, 1272, 646, 6896, 543, 11368, 519, 1715, 11620, 8567, 3883, 8750, 607, 513, 1797, 540, 8876, 593, 519, 960, 646, 1185, 17298, 267, 543, 824, 12531, 786, 581, 9783, 607, 9709, 676, 6004, 269, 590, 1048, 5674, 269, 634, 1101, 4320, 729, 2016, 513, 1034, 10260, 658, 21200, 267, 543, 519, 1719, 865, 9020, 16484, 6829, 676, 23700, 729, 513, 1390, 6667, 267, 711, 1152, 547, 6004, 269, 590, 1048, 5674, 267, 855, 547, 1010, 27498, 538, 519, 3883, 8750, 1701, 4534, 5804, 519, 5983, 5320, 676, 11427, 269, 2098, 269, 570, 269, 590, 1048, 5674, 454, 1103, 713, 1454, 268, 656, 4602, 730, 1837, 267, 1614, 15197, 13400, 5640, 723, 2854, 513, 1686, 540, 3504, 5840, 602, 3217, 519, 13400, 1257, 12517, 607, 606, 3140, 3561, 269, 2755, 849, 6236, 1875, 321, 10041, 2959, 543, 1373, 18906, 633, 547, 1018, 10459, 899, 22884, 267, 19795, 267, 543, 15257, 2303, 827, 519, 2250, 267, 519, 4589, 798, 865, 1369, 519, 2796, 543, 17565, 540, 519, 6196, 11620, 17374, 267, 799, 568, 4371, 607, 519, 3119, 3561, 585, 18949, 532, 5840, 781, 1686, 269, 769, 3487, 2290, 267, 519, 4589, 1305, 519, 4320, 538, 2796, 543, 2689, 2250, 543, 1699, 14046, 7521, 827, 1565, 5840, 781, 1686, 267, 2258, 908, 7440, 1996, 1210, 519, 6426, 607, 519, 3844, 2707, 269, 769, 3487, 5565, 267, 789, 3343, 547, 1427, 749, 519, 1686, 3294, 609, 606, 3750, 547, 782, 519, 2188, 8268, 538, 3487, 2290, 563, 1607, 1433, 3568, 519, 674, 6185, 269, 24381, 823, 15872, 585, 476, 1960, 273, 543, 3670, 717, 858, 867, 15872, 540, 476, 1960, 275, 269, 634, 24381, 823, 15872, 1459, 519, 1101, 2272, 540, 24381, 823, 607, 606, 6196, 11620, 3705, 614, 269, 634, 15872, 593, 8055, 13404, 2390, 1010, 24396, 4690, 607, 606, 3705, 614, 540, 519, 6426, 267, 607, 1134, 607, 519, 1101, 2272, 1759, 593, 10002, 21242, 1570, 540, 8055, 781, 2534, 607, 513, 840, 12329, 269, 1703, 568, 849, 513, 2673, 7634, 540, 8055, 781, 6402, 609, 5125, 267, 543, 519, 3310, 2390, 1864, 540, 9400, 681, 6139, 568, 11567, 538, 930, 1469, 585, 519, 1101, 942, 269, 2290, 540, 519, 6663, 540, 519, 1433, 568, 547, 1397, 875, 267, 538, 741, 1114, 2081, 267, 24381, 823, 543, 8055, 6836, 547, 9305, 519, 6196, 11620, 547, 519, 1079, 1114, 5712, 540, 16972, 6628, 538, 799, 789, 5030, 269, 634, 1433, 849, 568, 5497, 607, 513, 2417, 9295, 547, 938, 1702, 540, 519, 1686, 540, 13400, 9880, 538, 6628, 563, 5475, 11516, 4221, 519, 1686, 540, 2413, 9880, 267, 713, 960, 12116, 519, 6580, 540, 1715, 11620, 2835, 543, 741, 2553, 540, 13400, 11239, 267, 6754, 781, 5692, 547, 8050, 267, 519, 8367, 540, 1412, 4883, 12510, 262, 19980, 4301, 15554, 788, 15572, 320, 267, 543, 519, 946, 540, 840, 11526, 5389, 538, 6754, 781, 13171, 1108, 563, 1103, 2696, 543, 3047, 569, 5295, 808, 269, 717, 269, 5062, 3519, 6807, 15109, 519, 2470, 540, 1480, 1379, 538, 519, 1769, 540, 3661, 538, 2696, 269, 634, 6426, 267, 543, 2523, 519, 6196, 11620, 267, 568, 4143, 547, 519, 2243, 267, 711, 2547, 1317, 11994, 827, 519, 946, 540, 1379, 538, 6935, 547, 2696, 616, 1419, 6508, 7157, 610, 27235, 689, 621, 269, 901, 1433, 3976, 6663, 547, 2232, 513, 1158, 538, 799, 2696, 781, 1379, 568, 1419, 1045, 12097, 267, 689, 3833, 1114, 20453, 267, 538, 1931, 547, 17854, 2797, 543, 4108, 2962, 269, 5062, 3519, 6807, 781, 7664, 540, 519, 6196, 11620, 6212, 593, 1546, 17458, 16860, 543, 519, 2239, 538, 799, 621, 568, 1305, 267, 1317, 891, 616, 2523, 4829, 995, 585, 2797, 3206, 269, 3571, 2013, 568, 11130, 585, 1312, 608, 1122, 13443, 543, 538, 6935, 547, 519, 4890, 946, 540, 519, 6196, 11620, 538, 519, 1686, 540, 2797, 2219, 269, 5062, 3519, 6807, 781, 4295, 4661, 568, 602, 10143, 1379, 267, 25358, 998, 22560, 267, 2164, 538, 1480, 5191, 543, 513, 23626, 585, 519, 2797, 5539, 540, 4961, 269, 11569, 267, 621, 568, 1256, 519, 1655, 10018, 540, 891, 269, 4586, 300, 833, 670, 592, 1889, 814, 1044, 4974, 2916, 1689, 585, 936, 13977, 1296, 543, 568, 2221, 835, 540, 519, 1034, 10058, 543, 2369, 529, 762, 9739, 6340, 18368, 827, 2916, 1689, 538, 519, 30028, 267, 538, 1857, 543, 538, 519, 2923, 269, 634, 4661, 602, 646, 814, 1500, 1379, 2685, 936, 519, 2063, 1906, 1296, 568, 602, 2916, 1689, 814, 547, 581, 6956, 607, 1454, 607, 606, 2856, 13883, 538, 1114, 2686, 8658, 607, 621, 568, 607, 513, 2168, 7613, 547, 581, 6594, 998, 8471, 3621, 2853, 269, 8693, 1689, 693, 922, 4295, 5088, 806, 1312, 2257, 543, 2486, 267, 1312, 1702, 543, 2528, 269, 670, 592, 1889, 779, 3875, 4081, 543, 2442, 12591, 723, 8268, 1018, 713, 5133, 1797, 585, 519, 1114, 2081, 2916, 1689, 568, 6594, 267, 1936, 730, 267, 11130, 936, 543, 19500, 2390, 269, 10289, 8693, 7827, 998, 3163, 543, 538, 5980, 5531, 338, 1927, 585, 519, 1101, 942, 513, 4015, 540, 1010, 1034, 2442, 267, 7986, 543, 11786, 4930, 267, 3594, 267, 18531, 267, 11042, 543, 8039, 6580, 1394, 547, 519, 3735, 476, 2735, 271, 338, 269, 634, 476, 2004, 610, 865, 2110, 3688, 616, 19882, 1927, 538, 5722, 4798, 910, 3163, 267, 3194, 532, 267, 9177, 267, 8889, 267, 4004, 21899, 267, 2552, 7337, 344, 267, 28358, 999, 910, 543, 1369, 1142, 6249, 616, 11231, 12225, 10999, 547, 7866, 4657, 2093, 267, 2963, 543, 5380, 827, 2916, 1689, 269, 3962, 873, 539, 3296, 568, 28263, 609, 513, 5618, 4367, 267, 5373, 856, 519, 1292, 2152, 8947, 269, 8422, 6086, 633, 10002, 21242, 1007, 3594, 723, 1044, 16887, 2854, 585, 519, 1433, 267, 1519, 835, 10452, 593, 519, 9371, 540, 8693, 22017, 269, 570, 2586, 607, 513, 4015, 267, 891, 12591, 7866, 519, 2242, 538, 3621, 543, 1857, 24300, 540, 2916, 1689, 2094, 519, 3735, 476, 2735, 271, 338, 267, 607, 18195, 539, 998, 519, 2247, 543, 4082, 540, 835, 3056, 4081, 543, 1857, 6085, 1807, 269, 634, 4015, 2982, 519, 1082, 1114, 2081, 538, 799, 621, 568, 2556, 547, 1935, 519, 2856, 540, 2916, 1689, 547, 4612, 543, 1118, 2631, 540, 519, 28836, 543, 1167, 867, 656, 9739, 605, 8010, 532, 621, 538, 519, 1857, 12106, 563, 24375, 940, 16172, 1310, 4077, 12661, 27158, 781, 2669, 538, 476, 279, 1691, 267, 519, 11317, 540, 1010, 3140, 10504, 6743, 1394, 2390, 1010, 12081, 543, 4718, 538, 621, 606, 12013, 541, 540, 4168, 5203, 1275, 910, 2441, 754, 558, 269, 1358, 25528, 4207, 2441, 754, 558, 5196, 519, 2250, 543, 865, 267, 1282, 519, 27630, 267, 20870, 267, 543, 1605, 22770, 5553, 267, 519, 10665, 540, 1010, 10504, 8057, 609, 1142, 1427, 2454, 267, 3592, 2141, 1519, 519, 4168, 5101, 269, 4014, 519, 7485, 540, 13243, 593, 519, 4639, 4667, 547, 723, 1044, 2178, 1282, 519, 1605, 22770, 2540, 267, 621, 1185, 513, 811, 3908, 1198, 593, 519, 4077, 12661, 27158, 10828, 269, 5502, 267, 519, 10828, 8057, 1282, 713, 1974, 1317, 540, 513, 15116, 12760, 540, 2093, 267, 5645, 4464, 689, 519, 27630, 2540, 855, 22012, 998, 519, 1514, 267, 2686, 267, 543, 7214, 7835, 540, 519, 18060, 532, 1296, 269, 21537, 2135, 1227, 267, 4077, 12661, 27158, 2968, 1447, 1271, 547, 519, 4077, 12661, 27158, 10828, 269, 634, 10828, 2968, 513, 1650, 827, 519, 7671, 880, 1004, 267, 945, 5156, 789, 1185, 4371, 2696, 781, 12797, 896, 4077, 12661, 27158, 543, 4371, 856, 4126, 602, 789, 1223, 835, 1554, 29379, 741, 2027, 1747, 538, 10723, 1686, 269, 11569, 267, 2442, 8747, 540, 519, 7831, 14890, 10828, 267, 799, 12038, 540, 513, 1390, 14610, 945, 1131, 22653, 924, 2441, 754, 558, 538, 7041, 585, 519, 2063, 6370, 1063, 1434, 543, 9409, 267, 16219, 1175, 713, 547, 519, 2605, 3471, 269, 14313, 540, 10504, 267, 3961, 267, 543, 4168, 3909, 5208, 941, 14984, 556, 698, 757, 269, 634, 7848, 540, 891, 2093, 1223, 7618, 2367, 540, 741, 7671, 880, 1145, 543, 1847, 873, 267, 585, 1383, 267, 547, 1491, 909, 7916, 267, 15292, 547, 519, 5101, 267, 543, 29379, 741, 1747, 607, 9718, 619, 540, 519, 5132, 1282, 519, 3689, 12724, 1228, 269, 1323, 7276, 540, 15350, 3096, 519, 10828, 540, 4077, 12661, 27158, 267, 606, 1419, 27492, 331, 10541, 1699, 538, 2038, 10120, 2219, 267, 547, 1413, 693, 875, 519, 32725, 540, 519, 2078, 1063, 5101, 543, 4639, 6410, 2066, 5553, 267, 3226, 538, 519, 1974, 3056, 909, 547, 519, 3689, 12724, 1228, 269, 0, 763, 15544, 585, 8376, 6513, 543, 10644, 29808, 602, 1004, 609, 2790, 4576, 666, 1995, 4160, 267, 4965, 543, 824, 7099, 4713, 950, 2921, 606, 4550, 12845, 3806, 3075 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3546, 1820, 6600, 257, 8001, 630, 1998, 281, 346, 8001, 22183, 9574, 323, 3704, 281, 346, 8001, 6155, 3704, 16585, 25341, 1007, 681, 20846, 1126, 14307, 1439, 284, 3269, 994, 2018, 1820, 6600, 257, 263, 1998, 281, 346, 1998, 9574, 323, 3704, 281, 346, 323, 3704, 16585, 15419, 825, 1219, 1007, 318, 3847, 15220, 843, 4311, 267, 1130, 2187, 1038, 1582, 16000, 815, 23030, 21698, 263, 1998, 284, 1998, 267, 3178, 284, 1345, 6155, 3704, 266, 272, 267, 10066, 15871, 272, 267, 2385, 284, 1345, 267, 3181, 1872, 284, 1345, 19709, 30132, 994, 1038, 2132, 1582, 16000, 692, 825, 1219, 1007, 318, 2431, 15220, 843, 4311, 267, 1130, 2187, 1038, 1582, 16192, 815, 23030, 21698, 263, 1998, 284, 1998, 267, 3178, 284, 1345, 6155, 3704, 266, 272, 267, 10066, 284, 272, 267, 2385, 284, 1345, 267, 3181, 1872, 284, 1345, 19709, 30132, 994, 1038, 2132, 1582, 16192, 7531, 3698, 1820, 4671, 872, 20172, 267, 1130, 6889, 1998, 2580, 2451, 6889, 3847, 2580, 1318, 6889, 2431, 257, 2187, 825, 8173, 825, 4179, 2517, 23637, 1478, 6503, 2593, 21669, 270, 4792, 279, 4792, 279, 1839, 270, 14056, 277, 866, 1240, 454, 825, 8173, 825, 1219, 4159, 20172, 267, 1130, 284, 1998, 267, 2451, 284, 3847, 267, 1318, 284, 2431, 2187, 1038, 5727, 14303, 5281, 1592, 540, 12673, 267, 8700, 267, 4463, 267, 543, 8880, 11282, 540, 519, 3597, 27969, 454, 1038, 1948, 3143, 1126, 563, 1038, 952, 1205, 3430, 337, 20172, 267, 1318, 264, 568, 7183, 543, 1205, 3430, 337, 20172, 267, 2451, 264, 568, 7183, 912, 2018, 1899, 815, 1412, 260, 338, 262, 4939, 1205, 3430, 337, 20172, 267, 1130, 994, 2018, 8700, 815, 7003, 263, 1467, 994, 2018, 4463, 815, 476, 272, 454, 2018, 1647, 815, 8700, 12262, 476, 273, 454, 2018, 2132, 1496, 1467, 3910, 8700, 267, 4463, 267, 1647, 692, 1038, 1948, 8307, 2451, 1126, 563, 1038, 952, 1205, 3430, 337, 20172, 267, 1318, 264, 568, 7183, 912, 2018, 3515, 267, 562, 267, 533, 267, 1535, 815, 4159, 263, 1326, 3430, 337, 20172, 267, 2451, 4917, 2018, 521, 815, 1412, 260, 338, 262, 4939, 1205, 3430, 337, 20172, 267, 1130, 994, 2018, 579, 815, 7003, 4433, 994, 2018, 1101, 318, 1467, 815, 630, 343, 1341, 476, 272, 264, 2608, 1412, 1412, 1341, 630, 333, 910, 1535, 910, 476, 272, 264, 2608, 1412, 318, 262, 1341, 521, 454, 2018, 2034, 318, 1467, 815, 1535, 2608, 1412, 1412, 1341, 26230, 1341, 630, 333, 910, 1535, 910, 476, 272, 1341, 579, 264, 2608, 1412, 1412, 454, 2018, 17146, 318, 6050, 815, 1496, 1467, 1341, 579, 2608, 1412, 1412, 585, 1899, 538, 3515, 2639, 2018, 2132, 1496, 14140, 318, 1467, 267, 2034, 318, 1467, 316, 1341, 17146, 318, 6050, 267, 562, 1341, 579, 267, 533, 1341, 476, 273, 267, 562, 1341, 579, 12262, 476, 273, 692, 1038, 1948, 8307, 1318, 1126, 563, 1038, 952, 1205, 3430, 337, 20172, 267, 2451, 264, 568, 7183, 912, 2018, 3515, 267, 562, 267, 533, 267, 1535, 815, 4159, 263, 1326, 3430, 337, 20172, 267, 1318, 4917, 2018, 521, 815, 1412, 260, 338, 262, 4939, 1205, 3430, 337, 20172, 267, 1130, 994, 2018, 579, 815, 7003, 4433, 994, 2018, 1101, 318, 1467, 815, 521, 1341, 1535, 2608, 1412, 318, 262, 1341, 630, 333, 910, 1535, 264, 2608, 1412, 1412, 454, 2018, 2034, 318, 1467, 815, 630, 340, 1341, 1535, 264, 2608, 1412, 1412, 1341, 1412, 11138, 262, 1341, 630, 333, 910, 1535, 910, 476, 272, 264, 2608, 1412, 1412, 454, 2018, 17146, 318, 6050, 815, 1496, 340, 2608, 1412, 1412, 1341, 1899, 585, 1899, 538, 3515, 2639, 2018, 2132, 1496, 14140, 318, 1467, 267, 2034, 318, 1467, 316, 1341, 17146, 318, 6050, 267, 562, 1341, 579, 267, 533, 1341, 476, 273, 267, 579, 12262, 476, 273, 692, 1038, 1948, 5565, 1453, 563, 1038, 2451, 267, 562, 267, 533, 267, 1535, 815, 4159, 263, 1326, 3430, 337, 20172, 267, 2451, 4917, 1038, 1318, 267, 544, 267, 7117, 267, 586, 815, 4159, 263, 1326, 3430, 337, 20172, 267, 1318, 4917, 1038, 521, 815, 1412, 260, 338, 262, 4939, 1205, 3430, 337, 20172, 267, 1130, 994, 1038, 579, 815, 7003, 4433, 994, 1038, 1101, 318, 1467, 815, 630, 343, 1341, 476, 272, 264, 2608, 1412, 1412, 1341, 630, 333, 910, 1535, 910, 476, 272, 264, 2608, 1412, 318, 262, 1341, 521, 1341, 586, 2608, 1412, 318, 262, 1341, 630, 332, 910, 586, 264, 2608, 1412, 1412, 454, 1038, 2034, 318, 1467, 815, 1535, 2608, 1412, 1412, 1341, 26230, 1341, 630, 333, 910, 1535, 910, 476, 272, 1341, 579, 1341, 586, 264, 2608, 1412, 1412, 1341, 1412, 11138, 262, 1341, 630, 332, 910, 586, 910, 476, 272, 264, 2608, 1412, 1412, 454, 1038, 952, 533, 2999, 7117, 912, 2018, 2451, 6834, 1496, 333, 2608, 1412, 1412, 316, 2608, 630, 336, 910, 533, 994, 1038, 8640, 7117, 2999, 533, 912, 2018, 1318, 6834, 1496, 332, 2608, 1412, 1412, 316, 2608, 630, 335, 910, 7117, 994, 1038, 1990, 5792, 318, 6050, 815, 23407, 263, 3847, 267, 1318, 994, 1038, 3515, 815, 1496, 14140, 318, 1467, 267, 2034, 318, 1467, 316, 1341, 1496, 320, 1341, 579, 2608, 1412, 1412, 1341, 536, 585, 513, 267, 536, 538, 1990, 5792, 318, 6050, 2639, 1038, 2132, 3515, 267, 562, 1341, 544, 1341, 579, 267, 3193, 9638, 267, 7117, 264, 1341, 476, 273, 267, 562, 1341, 579, 12262, 476, 273, 692, 825, 3515, 267, 2608, 318, 815, 4159, 20172, 267, 1130, 267, 2451, 267, 1318, 994, 825, 585, 1899, 538, 3515, 912, 1038, 1820, 263, 1467, 9239, 3698, 1628, 4671, 872, 263, 8161, 525, 267, 3181, 1872, 25716, 2187, 825, 8173, 825, 1377, 19195, 21767, 1210, 5595, 25804, 20313, 454, 825, 8173, 825, 562, 16229, 7272, 4202, 815, 7003, 263, 8161, 525, 994, 825, 952, 3181, 1872, 912, 1038, 1820, 6600, 257, 315, 339, 734, 285, 3529, 814, 2715, 333, 16229, 7272, 4202, 348, 1126, 268, 8161, 8424, 25341, 10790, 311, 540, 2715, 273, 265, 333, 16229, 7272, 4202, 1341, 476, 272, 348, 9136, 2009, 630, 10175, 21614, 5588, 264, 5602, 1038, 1820, 6600, 257, 289, 308, 6579, 291, 5058, 570, 12767, 29389, 2020, 825, 3597, 815, 7183, 454, 825, 952, 562, 16229, 7272, 4202, 3436, 476, 271, 912, 1038, 9136, 7272, 2056, 318, 28255, 815, 11713, 1038, 3597, 815, 23030, 21698, 263, 1998, 284, 272, 267, 3181, 1872, 284, 1372, 30132, 994, 1038, 9136, 7272, 2056, 318, 28255, 27044, 263, 271, 267, 3597, 994, 1038, 1247, 7003, 263, 8161, 525, 264, 3436, 476, 271, 912, 2018, 533, 815, 9136, 7272, 2056, 318, 28255, 21014, 4590, 2018, 642, 9078, 267, 642, 24417, 815, 30455, 21014, 263, 271, 994, 2018, 952, 642, 9078, 11203, 910, 272, 912, 3546, 9136, 7272, 2056, 318, 28255, 27044, 263, 271, 267, 533, 269, 2908, 318, 3847, 15220, 843, 17635, 9078, 4917, 2018, 952, 642, 24417, 11203, 910, 272, 912, 3546, 9136, 7272, 2056, 318, 28255, 27044, 263, 271, 267, 533, 269, 2908, 318, 2431, 15220, 843, 17635, 24417, 11723, 825, 952, 3181, 1872, 912, 1038, 1820, 6600, 257, 289, 308, 6579, 307, 570, 12767, 281, 5602, 1038, 1820, 4671, 872, 20172, 994, 1038, 1820, 10797, 825, 2132, 3597, 7531, 3698, 23396, 15220, 10242, 17347, 16911, 2187, 825, 533, 815, 737, 16911, 9131, 335, 23300, 825, 546, 815, 737, 16911, 9131, 323, 23300, 825, 3181, 1872, 815, 737, 16911, 9131, 1372, 30132, 262, 6540, 825, 7117, 815, 737, 16911, 9131, 638, 2044, 262, 6540, 825, 2451, 15220, 843, 815, 533, 16000, 454, 825, 1318, 15220, 843, 815, 533, 16192, 692, 825, 952, 630, 3847, 15220, 843, 568, 711, 7183, 610, 1318, 15220, 843, 568, 711, 7183, 264, 543, 630, 335, 6155, 3704, 266, 272, 264, 4939, 7117, 2652, 476, 271, 912, 1038, 952, 3181, 1872, 912, 2018, 952, 533, 269, 528, 1304, 566, 2652, 476, 271, 912, 3546, 1820, 6600, 257, 4629, 5588, 14307, 1439, 284, 3269, 994, 2018, 1820, 6600, 257, 27161, 630, 1998, 281, 346, 335, 22183, 9574, 323, 3704, 281, 346, 335, 6155, 3704, 16585, 14307, 1439, 284, 3269, 994, 2018, 1820, 6600, 257, 21316, 6224, 2464, 13214, 281, 1126, 3829, 2715, 335, 6155, 3704, 266, 272, 348, 4939, 2715, 336, 348, 2652, 476, 271, 281, 5602, 2018, 1820, 6600, 257, 315, 339, 14684, 4338, 700, 9128, 307, 281, 630, 346, 262, 14085, 262, 952, 2451, 15220, 843, 568, 7183, 3116, 1412, 1998, 281, 262, 266, 1598, 263, 3847, 15220, 843, 22183, 11924, 3299, 323, 3704, 281, 262, 266, 1598, 263, 3847, 15220, 843, 6155, 3704, 14587, 1070, 14307, 1439, 284, 3269, 994, 2018, 1820, 6600, 257, 305, 20846, 281, 630, 346, 262, 14085, 262, 952, 1318, 15220, 843, 568, 7183, 3116, 1412, 1998, 281, 262, 266, 1598, 263, 2431, 15220, 843, 22183, 11924, 3299, 323, 3704, 281, 262, 266, 1598, 263, 2431, 15220, 843, 6155, 3704, 14587, 264, 834, 2020, 1038, 533, 16000, 815, 1318, 15220, 843, 454, 1038, 533, 16192, 815, 2451, 15220, 843, 692, 1038, 952, 3181, 1872, 912, 2018, 1820, 6600, 257, 315, 339, 29146, 734, 285, 700, 9128, 307, 281, 630, 346, 262, 14085, 262, 952, 533, 16000, 568, 7183, 3116, 1412, 1998, 281, 262, 266, 1598, 9638, 16000, 22183, 11924, 3299, 323, 3704, 281, 262, 266, 1598, 9638, 16000, 6155, 3704, 14587, 1070, 14307, 1439, 284, 3269, 994, 2018, 1820, 6600, 257, 305, 20846, 281, 630, 346, 262, 14085, 262, 952, 533, 16192, 568, 7183, 3116, 1412, 1998, 281, 262, 266, 1598, 9638, 16192, 22183, 11924, 3299, 323, 3704, 281, 262, 266, 1598, 9638, 16192, 6155, 3704, 14587, 17983, 9239, 3698, 29906, 318, 2181, 4650, 9638, 267, 546, 284, 271, 267, 535, 333, 318, 6665, 527, 318, 8518, 2401, 284, 1873, 777, 15220, 10242, 267, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 22561, 267, 3181, 1872, 25716, 2187, 825, 952, 533, 568, 7183, 912, 1038, 2132, 692, 825, 952, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 568, 7183, 912, 1038, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 815, 31460, 825, 737, 16911, 815, 27835, 335, 9166, 335, 10086, 323, 9166, 323, 10086, 1372, 30132, 9166, 1372, 30132, 8679, 825, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 269, 26303, 17347, 16911, 994, 825, 535, 333, 318, 6665, 527, 318, 8518, 2401, 6600, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 2020, 825, 29906, 318, 2181, 4650, 18692, 1038, 533, 16000, 267, 3097, 1038, 546, 284, 323, 266, 272, 267, 3097, 1038, 535, 333, 318, 6665, 527, 318, 8518, 2401, 284, 325, 333, 318, 6665, 527, 318, 8518, 2401, 267, 3097, 1038, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 284, 325, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 267, 3097, 1038, 3181, 1872, 284, 1372, 30132, 2020, 825, 29906, 318, 2181, 4650, 18692, 1038, 533, 16192, 267, 3097, 1038, 546, 284, 323, 266, 272, 267, 3097, 1038, 535, 333, 318, 6665, 527, 318, 8518, 2401, 284, 325, 333, 318, 6665, 527, 318, 8518, 2401, 267, 3097, 1038, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 284, 325, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 267, 3097, 1038, 3181, 1872, 284, 1372, 30132, 9239, 3698, 16289, 8217, 17347, 16911, 2187, 825, 533, 815, 737, 16911, 9131, 335, 23300, 825, 546, 815, 737, 16911, 9131, 323, 23300, 825, 3181, 1872, 815, 737, 16911, 9131, 1372, 30132, 262, 6540, 825, 32102, 815, 737, 16911, 9131, 4289, 23300, 825, 32102, 6910, 9638, 22183, 994, 825, 952, 3181, 1872, 912, 1038, 1820, 6600, 257, 315, 339, 1952, 2105, 1871, 2715, 335, 22183, 348, 547, 1592, 25341, 2715, 331, 560, 348, 5602, 825, 737, 16911, 9131, 4289, 11172, 815, 32102, 7531, 3698, 29906, 18425, 4650, 9638, 267, 546, 284, 271, 267, 535, 333, 318, 6665, 527, 318, 8518, 2401, 284, 6572, 8217, 267, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 22561, 267, 3181, 1872, 25716, 2187, 825, 952, 533, 568, 7183, 912, 1038, 2132, 692, 825, 29906, 18425, 4650, 18692, 1038, 533, 16000, 267, 3097, 1038, 546, 284, 323, 266, 272, 267, 3097, 1038, 535, 333, 318, 6665, 527, 318, 8518, 2401, 284, 325, 333, 318, 6665, 527, 318, 8518, 2401, 267, 3097, 1038, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 284, 325, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 267, 3097, 1038, 3181, 1872, 284, 1372, 30132, 2020 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15665, 3889, 602, 723, 14016, 730, 267, 1044, 8697, 267, 610, 1831, 28572, 1813, 547, 2085, 267, 5957, 543, 15237, 267, 610, 2242, 538, 4170, 269, 1703, 616, 1585, 2409, 1031, 538, 14317, 267, 543, 538, 713, 1557, 267, 649, 786, 2263, 1614, 540, 873, 563, 272, 269, 23305, 29407, 281, 901, 1505, 3322, 519, 7816, 543, 14304, 540, 7293, 2609, 971, 607, 9587, 267, 20832, 267, 1793, 11274, 267, 543, 13210, 269, 898, 568, 1031, 547, 3986, 519, 4452, 21307, 11538, 4390, 267, 6617, 267, 543, 15006, 540, 4540, 3889, 269, 898, 568, 1419, 2556, 950, 3889, 616, 18604, 610, 8697, 1813, 547, 2188, 971, 607, 14809, 267, 20381, 2534, 267, 610, 20358, 532, 269, 2368, 1455, 2553, 1031, 585, 7293, 14317, 1331, 6405, 7816, 267, 3134, 20293, 13297, 267, 543, 10380, 540, 3606, 1489, 2609, 899, 5374, 2909, 1424, 610, 3327, 6775, 16833, 563, 3519, 4740, 7816, 568, 513, 2442, 1505, 540, 7293, 14317, 602, 3322, 9427, 8697, 610, 14016, 730, 6405, 543, 13868, 621, 609, 1007, 1570, 269, 901, 4480, 568, 1419, 1031, 547, 7816, 18015, 267, 838, 8712, 267, 610, 1642, 3133, 725, 538, 6405, 2609, 269, 6271, 1455, 1505, 267, 3134, 20293, 13297, 267, 3322, 7630, 532, 18300, 883, 18015, 547, 6125, 543, 7794, 873, 269, 901, 4480, 568, 3226, 3730, 585, 28472, 7293, 18015, 538, 6405, 2609, 971, 607, 20832, 543, 1793, 11274, 269, 14936, 267, 519, 1840, 540, 5374, 536, 2350, 902, 610, 3327, 6775, 16833, 3927, 4679, 519, 4452, 21307, 11538, 4390, 540, 7293, 2609, 267, 1818, 873, 6793, 543, 811, 14463, 563, 273, 269, 6348, 3613, 24780, 29407, 281, 6348, 3613, 24780, 14317, 6212, 593, 519, 11808, 543, 19349, 540, 1875, 2000, 1933, 24481, 2609, 971, 607, 1795, 3547, 267, 6821, 267, 19683, 267, 543, 26088, 269, 901, 1505, 568, 3335, 1031, 547, 2087, 519, 15312, 267, 10342, 267, 543, 4313, 540, 5656, 269, 898, 568, 1419, 2556, 950, 1875, 3613, 24780, 2609, 616, 8697, 1813, 547, 29056, 267, 5957, 543, 15237, 267, 610, 1374, 19518, 269, 6348, 3613, 24780, 14317, 666, 4125, 2238, 971, 607, 1065, 31021, 267, 10682, 540, 26088, 267, 28890, 532, 267, 543, 10380, 540, 1007, 26892, 543, 3514, 14005, 563, 3080, 540, 519, 1034, 1455, 1875, 3613, 24780, 14317, 2553, 568, 1065, 31021, 269, 901, 3322, 9427, 2025, 5862, 543, 7311, 513, 1007, 835, 547, 3986, 519, 5920, 543, 4027, 540, 7252, 269, 1234, 10293, 540, 26088, 267, 971, 607, 17981, 610, 15790, 1115, 267, 568, 849, 4122, 1031, 547, 2087, 519, 15312, 543, 10342, 540, 19683, 269, 4826, 16513, 532, 568, 1776, 1271, 1875, 3613, 24780, 14317, 1505, 1031, 547, 2149, 3889, 689, 1216, 3441, 269, 1715, 26892, 543, 3514, 14005, 267, 971, 607, 1648, 18026, 8654, 610, 21818, 26892, 267, 666, 849, 581, 3773, 547, 2087, 519, 10342, 543, 6940, 540, 5656, 563, 274, 269, 7025, 29407, 281, 901, 1505, 3322, 519, 11808, 543, 6454, 540, 519, 2067, 1604, 4478, 513, 2497, 269, 898, 568, 4122, 1031, 547, 11574, 519, 2942, 5222, 540, 4070, 2238, 543, 547, 3986, 519, 6940, 543, 6043, 540, 3889, 269, 7025, 14317, 2882, 2238, 971, 607, 7226, 11808, 267, 11761, 1852, 267, 543, 7088, 4248, 2359, 563, 295, 629, 18945, 11808, 568, 1031, 547, 30712, 2067, 9249, 602, 723, 1044, 10032, 610, 22841, 676, 4070, 269, 901, 666, 4125, 9544, 5065, 10664, 267, 2870, 7320, 9249, 267, 543, 19620, 1216, 4703, 269, 661, 12509, 1852, 2553, 267, 971, 607, 16459, 20808, 6821, 543, 11689, 1944, 19527, 267, 616, 1031, 547, 2061, 3037, 11761, 543, 2149, 4478, 8134, 269, 23566, 4248, 2359, 3322, 8888, 1949, 547, 4383, 519, 7274, 543, 2298, 540, 7088, 4248, 20359, 689, 513, 3135, 267, 799, 2337, 547, 2149, 1216, 4703, 543, 2569, 519, 1981, 540, 14700, 563, 1103, 3932, 267, 14317, 2409, 616, 1898, 538, 3540, 4702, 607, 789, 948, 547, 10804, 519, 14438, 267, 10342, 267, 543, 6940, 540, 3889, 269, 23305, 267, 1875, 3613, 24780, 267, 543, 2825, 14317, 616, 1614, 4122, 1031, 2409, 547, 7816, 267, 7794, 267, 543, 3986, 4540, 454, 1103, 3932, 267, 1620, 519, 1761, 3123, 540, 6405, 12718, 1449, 14543, 693, 476, 2764, 2395, 666, 948, 2327, 519, 6111, 543, 10727, 540, 1449, 2164, 269, 3245, 2188, 971, 607, 16789, 19494, 7041, 543, 7829, 547, 2152, 609, 27955, 543, 4152, 5773, 267, 621, 568, 1271, 585, 8030, 543, 23390, 547, 5402, 4983, 1142, 1900, 540, 519, 1184, 269, 1635, 7114, 543, 5466, 891, 1761, 25354, 267, 519, 10727, 540, 1449, 2164, 666, 581, 4824, 267, 6038, 3056, 547, 6793, 543, 811, 14463, 6405, 3889, 269, 7743, 2866, 543, 15984, 547, 2872, 4441, 543, 1655, 2853, 616, 4105, 538, 4180, 602, 476, 2764, 6377, 6405, 12718, 4255, 8308, 2992, 519, 3020, 4222, 540, 519, 6405, 269, 2060, 713, 1702, 543, 4656, 267, 4070, 4648, 666, 960, 2509, 1732, 2298, 1852, 543, 1628, 811, 14388, 3889, 585, 519, 2104, 269, 0, 27852, 3106, 543, 3959, 4027, 616, 2629, 3344, 538, 4180, 519, 3106, 543, 3354, 540, 1022, 2679, 269, 2060, 519, 2810, 1297, 540, 5010, 543, 10821, 3889, 1373, 9112, 267, 621, 568, 1898, 547, 723, 2500, 3595, 3106, 543, 3959, 4027, 1949, 538, 1747, 269, 1452, 1949, 711, 1152, 2061, 519, 3262, 540, 3595, 855, 849, 2149, 3407, 7221, 543, 28378, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1585, 2010, 540, 3595, 3106, 543, 3959, 4027, 1949, 2139, 585, 5656, 543, 875, 789, 948, 538, 7303, 543, 10893, 3595, 5829, 14796, 269, 3958, 267, 649, 786, 849, 1865, 519, 2956, 540, 2834, 5826, 543, 10220, 609, 3595, 3106, 6042, 547, 2327, 519, 5207, 1377, 540, 4027, 585, 5656, 543, 741, 31269, 563, 8368, 540, 12937, 454, 27735, 540, 9605, 8881, 543, 16296, 10466, 7010, 585, 29844, 454, 27852, 3106, 543, 3959, 4027, 1949, 616, 1898, 3334, 538, 519, 1374, 543, 4070, 540, 1022, 2679, 269, 1452, 1949, 1404, 513, 2629, 1909, 538, 17420, 519, 31269, 543, 519, 3959, 689, 1761, 3595, 10898, 269, 2060, 519, 2810, 1297, 540, 3595, 13685, 538, 5656, 267, 621, 814, 1831, 16122, 547, 4225, 3595, 3106, 3800, 547, 2061, 2530, 540, 1272, 543, 3441, 547, 3959, 563, 763, 19466, 2956, 540, 3595, 3106, 1949, 568, 519, 4027, 540, 1480, 1272, 269, 769, 519, 2680, 540, 513, 3595, 267, 891, 1949, 616, 2966, 547, 3713, 543, 16401, 519, 3595, 693, 922, 2038, 5933, 267, 4758, 519, 31269, 2614, 942, 547, 17355, 10663, 9108, 269, 901, 568, 2523, 2565, 538, 1164, 8573, 1047, 5656, 1141, 519, 27549, 1184, 666, 581, 4101, 543, 942, 21791, 269, 9605, 32302, 267, 8673, 22572, 267, 13128, 20057, 2401, 1949, 267, 543, 824, 3595, 21109, 1949, 616, 519, 1101, 1899, 540, 8878, 538, 7863, 1004, 689, 3595, 5829, 7063, 543, 2669, 563, 11101, 267, 3595, 3106, 1949, 849, 1404, 513, 2629, 1909, 538, 7863, 3959, 269, 674, 2231, 666, 2014, 1713, 3441, 547, 513, 2679, 267, 4611, 538, 5458, 2883, 9271, 269, 9605, 21109, 1949, 971, 607, 20057, 2401, 1949, 666, 1852, 543, 16401, 519, 3262, 540, 3595, 267, 10893, 3959, 3441, 269, 1452, 1949, 616, 2966, 547, 5305, 1216, 610, 824, 3595, 29472, 656, 2326, 538, 519, 4299, 2127, 267, 7303, 519, 3595, 689, 10825, 547, 824, 2694, 540, 519, 2679, 269, 901, 666, 3648, 2569, 519, 1942, 540, 7816, 543, 16646, 538, 519, 21987, 540, 513, 3595, 10071, 563, 5194, 4105, 2460, 540, 3595, 3106, 543, 3959, 4027, 1949, 568, 519, 6604, 540, 3595, 269, 1452, 1949, 616, 2966, 547, 3713, 1761, 3595, 10898, 543, 2061, 873, 689, 9648, 269, 9605, 1981, 4879, 543, 2834, 5826, 543, 4152, 540, 3595, 3106, 1949, 666, 948, 2697, 543, 2232, 1022, 1761, 3595, 10898, 538, 513, 2679, 267, 10893, 519, 1981, 540, 3595, 13685, 269, 901, 14942, 1935, 547, 3595, 3106, 666, 948, 2061, 1761, 9271, 543, 21463, 538, 519, 5106, 540, 513, 2679, 563, 2026, 728, 689, 519, 7525, 2640, 540, 3595, 3106, 543, 3959, 4027, 1949, 267, 2348, 513, 1134, 27059, 543, 8647, 1062, 666, 849, 723, 1279, 3856, 2640, 269, 29844, 602, 723, 7850, 3595, 3106, 3800, 538, 1747, 616, 811, 10694, 547, 1761, 31269, 543, 9520, 269, 589, 3102, 3595, 3106, 1062, 2982, 602, 519, 2679, 568, 1134, 31720, 22633, 267, 543, 519, 3106, 540, 922, 31269, 568, 513, 10862, 269, 901, 666, 1291, 547, 2799, 3959, 1871, 543, 1732, 10639, 585, 519, 2679, 8227, 563, 1103, 3932, 267, 3595, 3106, 543, 3959, 4027, 1949, 616, 2629, 3344, 540, 2679, 1374, 543, 4070, 269, 1452, 1949, 1683, 1272, 22766, 3800, 585, 31269, 267, 7413, 3959, 3441, 267, 543, 2061, 1761, 3595, 10898, 269, 898, 568, 1898, 585, 2679, 5411, 543, 9367, 547, 4225, 3595, 3106, 538, 741, 3785, 547, 2327, 519, 3106, 540, 741, 31269, 543, 2149, 741, 3959, 563, 27852, 8881, 543, 16296, 10466, 7010, 585, 29844, 454, 27852, 3106, 568, 513, 2565, 2460, 540, 2679, 1374, 543, 4070, 602, 6663, 547, 2061, 267, 1852, 267, 543, 11574, 519, 14042, 2360, 540, 3595, 593, 1004, 267, 3959, 267, 543, 519, 1604, 269, 1306, 513, 3540, 11653, 267, 621, 568, 2629, 547, 1174, 519, 1585, 3595, 3106, 543, 3959, 4027, 1949, 602, 666, 581, 11368, 883, 5656, 547, 2327, 741, 3106, 543, 2149, 519, 2729, 540, 922, 31269, 563, 27852, 3106, 543, 3959, 4027, 1949, 538, 5656, 1331, 3800, 602, 2832, 547, 2061, 11642, 689, 9648, 610, 10825, 267, 2038, 7020, 267, 543, 9963, 1949, 547, 10332, 31269, 267, 543, 21109, 1949, 547, 1852, 610, 24773, 880, 11642, 563, 3080, 540, 519, 3119, 2081, 547, 2061, 11642, 538, 5656, 568, 676, 7598, 1697, 2679, 1374, 543, 4070, 2553, 269, 901, 2882, 1210, 3595, 15033, 2326, 585, 4070, 267, 7850, 19437, 1063, 5656, 267, 543, 6220, 3595, 7496, 543, 735, 25902, 547, 6615, 519, 3262, 540, 3595, 269, 9605, 15033, 9885, 267, 9486, 267, 543, 6821, 666, 849, 2061, 519, 3262, 540, 3595, 543, 8673, 1063, 1114, 2127, 540, 513, 2679, 563, 5194, 2629, 2460, 540, 3595, 3106, 568, 2038, 7020, 543, 9963, 1949, 269, 901, 3322, 16459, 8673, 22572, 267, 3002, 22572, 267, 543, 3595, 32302, 2429, 519, 2679, 267, 799, 666, 3713, 519, 4527, 540, 3595, 543, 10332, 31269, 547, 17355, 10663, 269, 1452, 1949, 1058, 581, 5781, 7318, 543, 9738, 547, 2327, 789, 616, 6198, 538, 2013, 540, 606, 6595, 563, 1103, 519, 2680, 540, 513, 3595, 267, 621, 568, 1898, 547, 723, 1697, 21109, 1949, 538, 1747, 269, 901, 666, 1331, 13128, 20057, 2401, 1949, 267, 3595, 24773, 29913, 267, 543, 3595, 3289, 7847, 269, 1452, 1949, 666, 3533, 16401, 610, 24773, 880, 519, 3595, 267, 7303, 621, 689, 10825, 543, 10893, 3441, 547, 519, 2679, 563, 19187, 9101, 11507, 543, 6595, 608, 1080, 1058, 849, 581, 513, 851, 540, 519, 2679, 1374, 547, 5351, 538, 519, 2922, 27549, 540, 31269, 1282, 513, 3595, 269, 1452, 11507, 1058, 581, 5693, 6825, 543, 796, 984, 560, 1192, 539, 547, 2327, 513, 2656, 543, 2922, 27549, 563, 1103, 1840, 547, 891, 1949, 267, 621, 568, 2629, 547, 723, 2834, 3595, 3106, 24422, 543, 5826, 540, 782, 3595, 3106, 3937, 543, 1949, 269, 901, 5849, 602, 789, 616, 538, 1697, 2324, 2783, 543, 666, 3927, 2149, 519, 2679, 543, 922, 31269, 563, 30509, 689, 3595, 3106, 267, 7863, 519, 3959, 543, 922, 9115, 568, 849, 1898, 269, 901, 666, 581, 6913, 676, 16459, 3595, 15033, 1760, 525, 543, 29256, 338, 585, 2565, 6054, 267, 16459, 3595, 16513, 19970, 1115, 267, 543, 5329, 1166, 30100, 2326, 538, 11280, 4859, 2127, 563, 1103, 3932, 267, 607, 513, 3540, 11653, 267, 621, 568, 2629, 547, 6451, 3595, 3106, 543, 3959, 4027, 1949, 883, 2679, 6272, 547, 2327, 519, 3106, 540, 922, 31269, 543, 7413, 519, 1981, 540, 3595, 5829, 14796, 269, 1635, 1739, 2679, 9479, 543, 6042, 267, 9001, 3595, 15033, 2326, 543, 1949, 267, 543, 10647, 2834, 5826, 267, 5656, 666, 581, 1732, 9280, 547, 2061, 267, 1852, 267, 543, 11574, 519, 2360, 540, 3595, 563, 19187, 1399, 10466, 7010, 585, 29844, 454, 19187, 1399, 4027, 1949, 585, 5656, 3277, 547, 519, 1585, 3800, 543, 1949, 2322, 538, 1747, 547, 16102, 513, 2679, 543, 922, 9115, 689, 3441, 610, 2530, 1813, 547, 2067, 12469, 267, 10913, 267, 610, 18532, 2800, 269, 1452, 1949, 616, 2629, 538, 4180, 519, 3106, 543, 15325, 540, 513, 2679, 267, 607, 1134, 607, 7863, 519, 9541, 543, 7221, 540, 519, 2679, 5411, 563, 2467, 616, 1896, 2010, 540, 3959, 4027, 1949 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10521, 4054, 1923, 10326, 1650, 454, 288, 838, 5535, 18389, 1229, 554, 2416, 543, 555, 2416, 1510, 513, 1747, 547, 3251, 269, 2991, 2469, 585, 930, 3845, 519, 838, 5535, 4718, 513, 5757, 4871, 269, 22628, 1079, 4054, 7555, 2282, 519, 5757, 267, 519, 838, 5535, 4682, 547, 519, 1101, 3529, 543, 1767, 267, 968, 21698, 256, 2904, 594, 9566, 538, 707, 7936, 9495, 4280, 519, 6177, 269, 634, 3529, 1767, 968, 7224, 9731, 763, 838, 5535, 8909, 569, 4280, 519, 2034, 3529, 267, 968, 21698, 949, 594, 1964, 538, 707, 7936, 1848, 1656, 519, 2034, 3529, 1767, 267, 968, 11039, 267, 596, 666, 9566, 548, 538, 1250, 7936, 543, 3251, 1848, 17963, 5293, 543, 519, 838, 5535, 3710, 513, 9566, 593, 519, 7936, 540, 519, 2034, 3529, 543, 9788, 5798, 543, 519, 32138, 11058, 3481, 563, 763, 3993, 838, 5535, 5030, 25747, 609, 1200, 32138, 269, 3973, 835, 1554, 621, 3323, 986, 1456, 8185, 269, 634, 2842, 729, 25738, 2182, 269, 9603, 547, 2178, 2842, 543, 5230, 4764, 267, 519, 1101, 3529, 909, 549, 6838, 543, 8593, 883, 519, 5757, 563, 8450, 532, 602, 1101, 3529, 9991, 1524, 267, 519, 838, 5535, 4682, 547, 519, 3529, 543, 1767, 267, 968, 296, 4280, 596, 602, 2052, 594, 3251, 593, 707, 7936, 543, 596, 4769, 1406, 1450, 803, 547, 3251, 593, 707, 7936, 267, 723, 596, 2938, 707, 3510, 1631, 286, 596, 616, 14084, 1524, 538, 519, 5757, 899, 713, 609, 713, 4764, 543, 2842, 892, 1767, 519, 6177, 543, 561, 13774, 1117, 563, 763, 3529, 1767, 267, 968, 296, 917, 1250, 3510, 1360, 1134, 269, 594, 1705, 711, 1450, 596, 547, 3251, 593, 1250, 7936, 267, 6616, 602, 952, 621, 22856, 594, 786, 581, 909, 549, 6838, 269, 1403, 594, 1185, 5143, 596, 547, 9566, 593, 1250, 7936, 267, 2221, 596, 543, 707, 32138, 1131, 723, 15468, 883, 713, 5757, 543, 5747, 1848, 24651, 713, 267, 519, 838, 5535, 23294, 2213, 547, 519, 3529, 563, 763, 3529, 1767, 547, 519, 6177, 267, 968, 3086, 596, 666, 2661, 25747, 609, 707, 32138, 1510, 1022, 8594, 3034, 300, 7394, 281, 6884, 519, 948, 649, 1810, 1406, 1205, 666, 581, 585, 938, 1378, 1434, 269, 0, 301, 22022, 3368, 540, 17013, 1810, 1406, 917, 1141, 547, 1376, 950, 621, 2501, 547, 8937, 1134, 5630, 563, 10527, 2164, 1489, 2069, 607, 513, 2009, 28627, 585, 4227, 519, 1981, 540, 8937, 4713, 4799, 12867, 8947, 1239, 689, 5176, 476, 274, 267, 4335, 772, 2529, 269, 1164, 30595, 563, 12867, 9916, 519, 1973, 1291, 2157, 540, 1453, 896, 476, 277, 26188, 6040, 936, 513, 476, 1015, 4458, 1974, 267, 689, 476, 1001, 272, 547, 476, 1708, 271, 563, 12867, 9333, 809, 1614, 2090, 17364, 1896, 6080, 538, 519, 772, 2529, 563, 1103, 4255, 267, 519, 3926, 4857, 26601, 5028, 543, 824, 5312, 3676, 563, 10521, 538, 1614, 4587, 4892, 10093, 1406, 1044, 547, 519, 4387, 538, 936, 513, 1032, 563, 763, 3328, 1977, 6238, 711, 6005, 519, 4191, 540, 10172, 693, 2085, 476, 5655, 563, 22154, 813, 2337, 3391, 8902, 5615, 4799, 7021, 476, 3583, 260, 3494, 519, 6855, 814, 6026, 873, 547, 581, 811, 2616, 656, 540, 741, 1072, 269, 0, 22897, 20895, 763, 5303, 1982, 693, 5617, 4582, 4068, 26673, 3205, 568, 2966, 547, 3895, 2565, 3206, 269, 901, 568, 12913, 998, 519, 946, 540, 1082, 1966, 6061, 267, 2319, 2324, 2238, 269, 901, 1982, 568, 513, 1590, 585, 1022, 2875, 5461, 538, 513, 4876, 5473, 2029, 267, 891, 4876, 779, 1331, 4702, 267, 1374, 267, 6189, 267, 610, 1022, 540, 519, 1585, 4070, 23194, 20136, 1576, 568, 6322, 4724, 10962, 1053, 547, 2029, 543, 1966, 6061, 269, 634, 1576, 5956, 609, 4245, 593, 6482, 543, 5373, 543, 20147, 609, 519, 1646, 540, 513, 3032, 777, 738, 543, 4212, 16154, 6174, 269, 634, 3804, 540, 891, 2238, 568, 547, 1020, 2319, 2324, 1983, 543, 1966, 6061, 1983, 20136, 1576, 786, 1491, 2035, 4121, 538, 667, 7894, 543, 4019, 891, 1482, 2093, 593, 519, 2780, 269, 4841, 10024, 713, 1576, 1590, 723, 2596, 5373, 1983, 267, 2780, 1983, 267, 543, 6128, 1983, 269, 901, 1576, 568, 2966, 585, 1053, 5461, 538, 11678, 538, 4702, 267, 6189, 267, 4070, 267, 610, 1374, 269, 634, 1053, 786, 1451, 875, 547, 2721, 24039, 267, 575, 2532, 1115, 267, 28633, 267, 7344, 3457, 267, 543, 6189, 593, 519, 2780, 269, 634, 2872, 6205, 538, 2780, 1374, 568, 1031, 538, 713, 1576, 630, 8505, 334, 21020, 476, 1220, 273, 1916, 2304, 5140, 22449, 1576, 585, 1022, 2875, 4974, 4702, 267, 1374, 267, 610, 6189, 269, 4841, 786, 581, 5189, 547, 11516, 4221, 267, 2645, 1031, 585, 7344, 26004, 267, 4484, 532, 267, 543, 10155, 532, 269, 4841, 786, 2347, 2324, 12400, 267, 3296, 532, 12400, 267, 25581, 5784, 267, 543, 3182, 3645, 12400, 269, 1280, 519, 2034, 3368, 540, 519, 1032, 1053, 786, 960, 607, 513, 2319, 538, 2516, 547, 3132, 12400, 585, 513, 1788, 267, 789, 786, 2347, 782, 2556, 12400, 585, 519, 2966, 1788, 267, 1287, 1053, 786, 1628, 519, 1788, 547, 1346, 16551, 269, 1280, 519, 2063, 851, 540, 519, 1576, 1053, 786, 581, 5189, 547, 2780, 29211, 26004, 267, 1934, 789, 786, 1451, 875, 547, 2721, 1510, 513, 15513, 563, 30706, 2219, 827, 4881, 707, 1378, 1870, 543, 6721, 707, 1378, 2472, 267, 952, 596, 723, 713, 568, 519, 1362, 547, 1491, 269, 901, 568, 513, 1390, 1362, 547, 1451, 827, 519, 3344, 540, 19007, 1141, 1053, 1376, 909, 513, 2754, 269, 634, 1101, 3368, 540, 519, 1576, 568, 6170, 8888, 267, 6721, 267, 543, 6725, 513, 1587, 269, 634, 2034, 3368, 540, 519, 1576, 568, 13991, 547, 4070, 269, 1411, 786, 581, 25009, 593, 519, 2679, 540, 5321, 543, 5656, 689, 519, 5748, 547, 519, 8122, 269, 4841, 786, 1118, 513, 4336, 2203, 540, 513, 2679, 1210, 782, 540, 519, 1697, 2553, 602, 1131, 581, 1031, 547, 1118, 513, 2407, 21092, 2497, 269, 2311, 519, 1439, 540, 519, 1576, 1053, 786, 723, 519, 4316, 547, 1628, 606, 4890, 8774, 856, 540, 476, 273, 311, 275, 779, 543, 623, 16072, 269, 634, 8561, 540, 713, 1576, 568, 547, 5721, 1053, 547, 1831, 25255, 543, 16724, 779, 711, 4070, 1212, 9749, 563, 2252, 1022, 1053, 723, 1022, 2055, 610, 4145, 3823, 519, 2029, 1982, 1934, 5225, 1745, 1863, 547, 2097, 547, 1250, 4055, 543, 2307, 803, 269, 0, 15697, 4065, 814, 1831, 519, 1034, 1898, 851, 540, 1169, 2875, 779, 1272, 543, 713, 7678, 568, 2810, 1554, 676, 1554, 269, 1717, 267, 519, 13044, 268, 866, 6855, 814, 21354, 4299, 938, 2069, 1062, 799, 814, 8297, 1441, 938, 2729, 543, 649, 616, 1500, 547, 3251, 693, 938, 5321, 22079, 528, 1176, 269, 901, 2783, 814, 7142, 721, 547, 9772, 519, 2228, 1565, 1184, 585, 938, 1453, 269, 4634, 1310, 6616, 602, 972, 616, 865, 1082, 20134, 31834, 2986, 6732, 4065, 649, 798, 711, 723, 1022, 4781, 269, 5221, 540, 524, 10604, 268, 866, 267, 782, 3872, 5238, 723, 17146, 689, 2757, 1565, 547, 2228, 1565, 563, 2467, 616, 1082, 20134, 31834, 2986, 6732, 4065, 855, 649, 1869, 723, 547, 3442, 621, 585, 519, 1732, 618, 540, 938, 1453, 269, 1306, 596, 917, 267, 2228, 1565, 568, 4625, 1114, 689, 2757, 1565, 269, 769, 2757, 13460, 267, 1053, 1031, 547, 3479, 547, 2834, 13460, 267, 543, 3237, 941, 849, 3222, 540, 519, 4567, 540, 741, 1453, 676, 11504, 2385, 779, 4116, 11401, 267, 3092, 563, 4131, 779, 1865, 519, 20134, 31834, 2986, 6732, 4065, 543, 875, 596, 666, 4308, 609, 873, 538, 519, 1034, 2500, 2081, 269, 4746, 267, 519, 4388, 602, 786, 948, 547, 2087, 707, 9344, 269, 5901, 7335, 2336, 1432, 616, 519, 20134, 31834, 2986, 6732, 4065, 888, 6524, 649, 1683, 596, 609, 519, 3070, 267, 4388, 593, 875, 596, 666, 4308, 609, 519, 20134, 31834, 2986, 6732, 4065, 269, 1411, 1058, 917, 875, 2228, 2069, 5540, 519, 2790, 543, 2168, 1072, 540, 513, 1126, 563, 11039, 267, 2228, 2069, 814, 23494, 4957, 519, 1259, 649, 1353, 269, 1635, 519, 1032, 543, 513, 3368, 814, 5293, 11504, 2228, 5049, 269, 1809, 798, 596, 917, 875, 1454, 621, 814, 12936, 519, 1072, 540, 938, 1453, 286, 3143, 256, 3973, 649, 723, 707, 2626, 269, 3367, 593, 2507, 8627, 2336, 258, 272, 269, 674, 7037, 5113, 693, 5851, 454, 10743, 1265, 741, 4313, 7997, 693, 1753, 269, 1703, 568, 513, 1134, 8153, 10839, 602, 3081, 968, 2791, 2760, 1689, 707, 1272, 2394, 596, 1900, 856, 540, 707, 4313, 7997, 282, 1689, 5956, 693, 519, 1439, 540, 707, 4313, 7997, 1848, 1879, 1453, 4682, 547, 1153, 789, 17411, 1082, 3871, 676, 2933, 269, 4746, 267, 952, 789, 1265, 1022, 1966, 538, 741, 2090, 789, 666, 849, 2170, 609, 741, 3610, 2047, 563, 7628, 2228, 5049, 267, 3237, 1683, 741, 3214, 609, 513, 12391, 1604, 693, 1753, 799, 789, 1205, 1031, 547, 269, 4935, 267, 621, 3587, 2182, 585, 873, 547, 1451, 4830, 12588, 269, 5047, 267, 789, 1451, 855, 789, 616, 711, 1360, 18906, 633, 1282, 741, 2228, 5049, 1317, 540, 519, 7874, 1604, 269, 11569, 267, 789, 849, 3111, 547, 1451, 519, 1148, 540, 4687, 1702, 609, 824, 1053, 563, 258, 273, 269, 31808, 538, 6657, 15369, 4804, 454, 11039, 267, 2228, 1565, 5049, 5631, 1445, 593, 519, 7811, 2694, 543, 3668, 2259, 2861, 1565, 269, 7869, 2861, 1702, 568, 5631, 1644, 547, 6436, 267, 5013, 267, 543, 7744, 269, 2201, 519, 824, 1688, 267, 4052, 1702, 568, 1759, 593, 4052, 1995, 543, 4247, 563, 2252, 596, 616, 3206, 547, 1451, 513, 1906, 11271, 538, 1686, 267, 543, 10544, 1702, 827, 25319, 543, 519, 3652, 540, 519, 3756, 1287, 2228, 1565, 1131, 581, 513, 1732, 4781, 269, 18766, 689, 713, 267, 713, 1702, 3112, 581, 8045, 538, 4052, 1272, 899, 875, 547, 1404, 513, 3014, 269, 14755, 267, 596, 666, 2744, 1702, 676, 8026, 538, 519, 2361, 1152, 269, 1717, 267, 621, 779, 849, 1271, 547, 1832, 538, 2247, 602, 2228, 1565, 7948, 1406, 5372, 519, 1702, 602, 2501, 998, 4052, 2833, 563, 258, 274, 269, 19768, 540, 31802, 454, 2005, 1031, 547, 581, 2219, 602, 519, 2228, 1565, 1505, 1131, 581, 606, 7317, 543, 9159, 1259, 547, 4001, 519, 1007, 5108, 540, 1053, 269, 1809, 519, 2164, 3717, 547, 519, 6587, 540, 713, 3069, 269, 2991, 10962, 2228, 5049, 547, 519, 1053, 267, 799, 11751, 873, 606, 5836, 540, 14330, 17988, 267, 1565, 10467, 267, 543, 7928, 5931, 269, 1717, 267, 713, 5012, 547, 513, 3668, 540, 8404, 538, 519, 1053, 945, 991, 547, 30603, 519, 1565, 22045, 563, 1103, 1840, 547, 713, 267, 1053, 10404, 1125, 519, 3668, 540, 8404, 267, 799, 2356, 4523, 1813, 547, 513, 3668, 540, 14375, 5905, 1063, 519, 3610, 543, 519, 1053, 538, 519, 2228, 1362, 269, 1717, 267, 519, 991, 585, 2168, 5872, 543, 2792, 1063, 519, 1053, 568, 2556, 269, 4935, 267, 713, 2337, 538, 2502, 873, 799, 2228, 3450, 1505, 814, 1100, 3070, 2943, 563, 258, 275, 269, 13262, 543, 15310, 8982, 12983, 454, 10743, 991, 513, 1164, 1377, 540, 5834, 538, 741, 2228, 5049, 269, 1809, 621, 7140, 856, 547, 581, 11207, 1114, 269, 4438, 2228, 5049, 267, 519, 5834, 1377, 540, 519, 1053, 12628, 269, 4256, 3210, 2306, 621, 2352, 585, 519, 3610, 547, 4308, 609, 621, 269, 634, 2604, 547, 13404, 593, 519, 5496, 2164, 538, 513, 1390, 2179, 540, 2566, 543, 4160, 3812, 676, 519, 1053, 563, 10743, 616, 25356, 1310, 11504, 24680, 5049, 267, 3381, 19014, 267, 543, 11401, 593, 741, 5985, 11436, 269, 5047, 267, 519, 2247, 568, 4299, 607, 5496, 942, 4679, 543, 519, 2634, 9060, 621, 2352, 547, 10110, 782, 519, 1344, 563, 258, 276, 269, 19768, 540, 26440, 4181, 689, 5440, 29550, 609, 6452, 1042, 2787, 454, 3086, 12997, 2069, 814, 513, 2603, 547, 798, 609, 922, 32107, 2864, 982, 1565, 269, 1717, 267, 621, 6927, 1141, 596, 723, 6594, 543, 1018, 596, 6594, 269, 2334, 568, 1946, 32107, 568, 513, 5458, 3815, 269, 634, 3845, 1565, 543, 2228, 1565, 6080, 723, 8959, 547, 22321, 20380, 2362, 2069, 5238, 547, 2709, 741, 6030, 538, 891, 12043, 563, 763, 5232, 585, 519, 2228, 6030, 1522, 711, 581, 26886, 676, 519, 2816, 2344, 855, 15983, 585, 824, 2816, 5238, 269, 4475, 267, 3506, 723, 17947, 2228, 2069, 855, 2362, 2069, 5238, 543, 519, 2229, 723, 2943, 547, 5431, 621, 607, 513, 3318, 4110, 563, 19522, 547, 20958 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 12502, 525, 630, 4753, 264, 543, 28614, 26935, 1235, 630, 10135, 4753, 264, 8033, 4240, 593, 2985, 476, 276, 31514, 3461, 3106, 998, 4824, 13178, 538, 15822, 21111, 5516, 570, 646, 1909, 540, 2564, 3457, 267, 971, 607, 11487, 268, 669, 8113, 8554, 267, 538, 519, 6771, 540, 1072, 268, 1416, 23938, 5563, 630, 11190, 3674, 264, 814, 1279, 1044, 6444, 267, 2705, 267, 519, 859, 328, 268, 546, 775, 602, 1604, 320, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 1323, 15589, 5735, 1315, 2271, 2400, 5516, 5149, 630, 2975, 308, 264, 6925, 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, 6637, 476, 1015, 281, 634, 24090, 995, 2622, 540, 23093, 26511, 543, 23866, 20837, 532, 692, 5970, 596, 2479, 19557, 547, 513, 5925, 1397, 602, 596, 2731, 10150, 267, 855, 24714, 596, 1223, 6432, 547, 621, 1586, 8164, 596, 4941, 286, 2107, 6148, 596, 4312, 4862, 827, 891, 1919, 1572, 834, 335, 617, 4751, 338, 257, 543, 834, 7596, 1470, 18297, 2437, 855, 14201, 1405, 3833, 2386, 1018, 789, 941, 610, 875, 789, 5249, 269, 4270, 267, 1694, 1394, 267, 6001, 267, 543, 1577, 803, 1491, 596, 593, 513, 3460, 883, 713, 5863, 3059, 5251, 2439, 5575, 1055, 267, 4952, 1373, 2111, 547, 19820, 883, 707, 5172, 5925, 1397, 267, 855, 3079, 540, 2348, 547, 6529, 547, 741, 8430, 267, 596, 666, 2046, 1404, 20471, 267, 9170, 269, 2334, 781, 4010, 1018, 27143, 2709, 256, 1358, 2811, 899, 840, 29627, 867, 539, 5925, 2982, 602, 596, 666, 24049, 547, 267, 865, 1169, 1007, 12558, 8850, 4991, 9447, 1318, 547, 707, 3926, 269, 1411, 1522, 1265, 27143, 827, 2984, 267, 24668, 267, 13655, 267, 3020, 6760, 267, 610, 1256, 1175, 7391, 1063, 2828, 910, 972, 781, 1945, 856, 972, 585, 3025, 2439, 3086, 267, 1018, 952, 594, 5143, 596, 602, 972, 729, 513, 1259, 547, 7390, 513, 2661, 13447, 267, 6432, 547, 8840, 3377, 267, 610, 2972, 12909, 676, 4966, 538, 1585, 4610, 267, 782, 1247, 9361, 693, 1753, 286, 8080, 547, 519, 9059, 540, 8301, 18297, 256, 901, 6909, 2029, 2636, 721, 547, 10141, 3280, 630, 663, 3006, 1256, 3381, 264, 936, 519, 4950, 538, 1483, 6066, 269, 1924, 2436, 596, 1616, 547, 9240, 913, 547, 519, 5767, 26107, 267, 3251, 5483, 593, 1699, 2621, 267, 610, 1451, 827, 4241, 3584, 689, 1472, 519, 8608, 267, 8301, 18297, 2306, 621, 2009, 780, 2414, 948, 5862, 513, 20501, 4605, 267, 1577, 803, 2671, 930, 1187, 1806, 269, 5994, 16462, 547, 1831, 513, 1732, 7376, 282, 596, 1223, 3406, 585, 606, 1148, 15264, 1141, 4648, 1865, 4388, 543, 2553, 269, 9320, 596, 9364, 588, 18443, 2390, 834, 763, 3203, 540, 14301, 4658, 257, 610, 834, 303, 31021, 609, 4826, 3712, 832, 1701, 3962, 3018, 267, 513, 1007, 12558, 1131, 12446, 267, 4904, 609, 6667, 543, 5583, 269, 1656, 15475, 596, 7948, 1405, 7227, 547, 2119, 856, 1018, 596, 4121, 1107, 1287, 596, 1223, 7914, 5196, 606, 8301, 6908, 10023, 513, 2661, 7206, 8400, 3366, 676, 513, 4487, 7376, 269, 1215, 3579, 568, 602, 31841, 7775, 5310, 596, 2811, 8049, 827, 9018, 2230, 543, 31205, 5326, 540, 4742, 606, 16106, 14693, 269, 1635, 11362, 883, 27143, 899, 834, 30252, 307, 1779, 257, 609, 29484, 632, 294, 6652, 572, 570, 903, 517, 267, 596, 3513, 7832, 593, 2247, 1532, 27172, 15322, 998, 938, 7122, 267, 1565, 827, 3109, 9475, 267, 30659, 267, 543, 3388, 538, 1063, 269, 1879, 621, 781, 942, 585, 513, 2736, 267, 3274, 6467, 24039, 543, 23365, 3054, 538, 513, 9159, 8301, 13739, 540, 513, 8331, 15177, 10131, 269, 11565, 803, 267, 6217, 1346, 9817, 887, 541, 786, 2285, 596, 979, 846, 321, 7927, 2439, 3719, 1934, 2501, 519, 1655, 851, 281, 2870, 707, 1360, 1378, 15264, 610, 10283, 538, 606, 2228, 8301, 4901, 269, 6056, 827, 4687, 707, 4555, 593, 2835, 267, 9413, 267, 3756, 267, 610, 4376, 3116, 596, 2811, 13730, 827, 269, 3502, 1152, 786, 596, 1020, 3407, 2792, 1983, 267, 855, 596, 3513, 849, 1921, 609, 824, 12439, 689, 2066, 519, 4541, 269, 1548, 1223, 581, 811, 13858, 982, 6616, 1004, 689, 5245, 267, 4516, 267, 610, 3162, 4000, 616, 25122, 538, 547, 5873, 22400, 5639, 2496, 3528, 1631, 267, 594, 4126, 596, 2811, 9599, 827, 3695, 519, 5318, 7706, 540, 15264, 532, 543, 8301, 18297, 269, 5457, 267, 1100, 2339, 799, 9135, 610, 3760, 533, 2294, 707, 1719, 267, 519, 1034, 1271, 3364, 568, 547, 4685, 538, 267, 1376, 6947, 267, 543, 25793, 1662, 707, 7279, 269, 8414, 12423, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8368, 540, 12937, 454, 7072, 547, 10011, 7901, 454, 290, 770, 7901, 568, 513, 12021, 813, 538, 519, 15264, 532, 543, 8301, 18297, 2230, 267, 3246, 596, 609, 513, 3638, 543, 9867, 1543, 6947, 1995, 269, 2060, 936, 476, 4817, 2929, 3755, 5001, 543, 6634, 540, 14501, 540, 27143, 543, 2661, 12535, 267, 621, 814, 3710, 513, 2146, 540, 1004, 945, 849, 2648, 6947, 547, 5925, 563, 4415, 713, 813, 267, 596, 666, 1569, 513, 5458, 4015, 540, 27143, 609, 6634, 540, 14501, 543, 2661, 12535, 689, 782, 936, 519, 1158, 269, 17949, 27143, 827, 2257, 267, 2029, 267, 2069, 267, 1148, 267, 2575, 267, 5026, 267, 27143, 827, 4948, 1272, 267, 972, 616, 782, 11964, 585, 596, 547, 3442, 689, 563, 1432, 568, 10011, 7901, 454, 8266, 2287, 547, 27143, 814, 2141, 1044, 835, 540, 519, 19463, 3029, 540, 9913, 585, 1082, 1004, 269, 4014, 942, 814, 5293, 543, 2029, 3466, 723, 4957, 609, 519, 4417, 540, 811, 3029, 540, 9913, 971, 607, 11080, 267, 519, 4950, 267, 543, 3381, 267, 27143, 1869, 3180, 513, 4396, 1747, 563, 290, 770, 7901, 779, 4015, 568, 711, 3908, 547, 5356, 27143, 689, 2477, 543, 4525, 513, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 5769, 1315, 23093, 26511, 1299, 5680, 26511, 1315, 23866, 20837, 532, 16257, 338, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 28541, 9503, 267, 972, 729, 606, 16529, 1762, 16724, 3957, 15609, 269, 2701, 1185, 1175, 9250, 1200, 23492, 267, 834, 292, 1723, 24728, 2437, 799, 6322, 547, 22499, 4264, 2029, 269, 1717, 267, 1352, 17388, 547, 1711, 543, 2226, 513, 2178, 6216, 4527, 593, 1514, 2923, 5867, 269, 2290, 1554, 267, 1247, 11504, 513, 10509, 10554, 267, 1352, 1558, 1079, 19023, 4648, 945, 1131, 1689, 1200, 1935, 547, 1514, 2923, 910, 27692, 267, 513, 6725, 575, 15843, 1634, 585, 1200, 5876, 267, 543, 6599, 534, 267, 513, 1100, 5991, 976, 1619, 5683, 22639, 780, 299, 25475, 3576, 15609, 896, 1200, 13617, 543, 3323, 676, 4543, 1200, 1020, 513, 1514, 2923, 4640, 269, 1358, 3989, 2312, 3853, 267, 4857, 519, 3077, 5304, 267, 18705, 513, 1543, 4640, 4904, 609, 3407, 1344, 827, 19889, 24728, 781, 2472, 543, 5692, 267, 4956, 593, 513, 7874, 2943, 22265, 3159, 540, 5639, 267, 8149, 547, 3232, 20171, 12451, 267, 543, 3964, 513, 1062, 585, 9477, 6278, 543, 2208, 14573, 780, 19602, 267, 6599, 534, 15695, 15609, 593, 519, 2956, 540, 2519, 593, 2679, 3347, 2864, 982, 3274, 31076, 30572, 6835, 269, 1261, 9415, 1200, 547, 1921, 543, 4497, 609, 519, 5304, 998, 9758, 6643, 267, 12905, 6114, 547, 8292, 543, 1463, 6835, 267, 543, 759, 3873, 637, 540, 3593, 24378, 1543, 15386, 875, 1004, 1031, 19889, 24728, 781, 2472, 269, 3958, 267, 646, 6700, 602, 15609, 7119, 538, 4143, 2228, 2950, 1141, 1761, 5561, 1522, 5531, 547, 1865, 6940, 543, 5647, 780, 9802, 320, 4553, 741, 5796, 855, 5433, 1945, 729, 1869, 7508, 269, 2334, 781, 950, 27692, 5018, 519, 1379, 540, 3308, 32107, 269, 8625, 267, 789, 2813, 17074, 1210, 5812, 32107, 2609, 971, 607, 27291, 267, 4778, 267, 23935, 267, 543, 11052, 2066, 782, 1514, 2923, 5867, 269, 901, 5280, 12927, 19889, 24728, 781, 6216, 3961, 543, 1500, 621, 811, 25992, 1851, 922, 15712, 780, 4913, 267, 711, 3388, 4682, 12347, 269, 4438, 513, 2661, 1627, 26031, 8400, 593, 17749, 267, 15609, 4607, 513, 30940, 6085, 689, 2576, 5009, 513, 15180, 2754, 269, 5502, 540, 24937, 610, 18111, 1154, 621, 267, 1352, 15527, 1219, 13208, 267, 4929, 513, 13489, 1369, 519, 2146, 269, 20876, 519, 12161, 267, 15609, 6603, 856, 547, 27692, 543, 6599, 534, 585, 5583, 780, 299, 25475, 18056, 15609, 540, 519, 2956, 540, 4509, 735, 3837, 543, 3318, 1143, 1256, 1282, 12699, 15377, 269, 6599, 534, 3773, 602, 4213, 1590, 581, 5423, 585, 9880, 543, 2232, 2152, 609, 11419, 543, 11413, 269, 14171, 741, 5796, 547, 2295, 267, 15609, 23294, 1242, 15597, 543, 7722, 519, 10404, 538, 513, 16614, 4901, 827, 741, 3604, 269, 4173, 19969, 543, 22371, 24330, 1082, 13794, 267, 15980, 741, 3972, 543, 14017, 780, 2026, 942, 5293, 267, 19889, 24728, 25577, 7064, 547, 15609, 781, 7029, 547, 2870, 1164, 7779, 1543, 267, 2502, 609, 1200, 5304, 267, 543, 9846, 17923, 1200, 6216, 781, 2189, 3961, 269, 3414, 1200, 3460, 267, 1352, 4121, 519, 4644, 540, 6568, 267, 7881, 267, 543, 2500, 2792, 538, 5883, 1200, 6216, 781, 10639, 593, 1514, 2923, 5867, 269, 5047, 267, 1200, 2833, 6039, 607, 513, 12576, 602, 1169, 5872, 568, 606, 4316, 547, 1628, 6209, 4296, 543, 6536, 1279, 18835, 3347, 609, 5561, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 18658, 616, 519, 1655, 2994, 585, 11639, 547, 1711, 543, 2226, 513, 2178, 6216, 4527, 593, 1514, 2923, 5867, 888, 2080, 616, 930, 2994, 585, 11639, 547, 1711, 543, 2226, 513, 2178, 6216, 4527, 593, 1514, 2923, 5867, 1384, 272, 269, 3763, 513, 1514, 2923, 4640, 281, 16294, 707, 3853, 267, 3077, 5304, 267, 1543, 4640, 267, 3159, 540, 5639, 267, 20171, 4908, 267, 6278, 4640, 267, 543, 14573, 547, 2268, 1967, 269, 8528, 273, 269, 10312, 593, 2679, 3347, 281, 4045, 543, 4497, 609, 707, 5304, 998, 7391, 267, 14775, 547, 8292, 543, 6835, 267, 4687, 3593, 24378, 1543, 267, 543, 10283, 538, 4143, 2228, 2950, 269, 8528, 274, 269, 2422, 3308, 32107, 281, 2422, 5812, 32107, 2609, 899, 20446, 267, 4778, 267, 23935, 267, 543, 11052, 538, 782, 707, 1514, 2923, 9708, 547, 7794, 707, 6216, 3961, 269, 8528, 275, 269, 8073, 1164, 7779, 1543, 281, 9523, 4277, 543, 4143, 1543, 602, 8591, 1871, 547, 707, 5304, 543, 8992, 707, 6216, 5048, 269, 17186, 909, 707, 1543, 609, 7044, 267, 2592, 267, 12449, 267, 543, 3593, 24932, 324, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 23558, 593, 13941, 9108, 593, 713, 15116, 4541, 1572, 3047, 256, 1306, 596, 2253, 707, 3408, 267, 649, 2811, 9599, 547, 6338, 596, 547, 835, 540, 8103, 781, 1034, 1898, 2645, 281, 519, 8261, 5493, 2280, 13544, 269, 901, 3926, 786, 948, 596, 6330, 16292, 17346, 267, 8637, 267, 543, 824, 4853, 5468, 609, 8897, 780, 6524, 11362, 883, 519, 5850, 267, 1577, 781, 3382, 930, 4909, 2035, 1384, 272, 269, 2878, 16498, 5113, 5093 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 8080, 547, 938, 3408, 540, 21940, 776, 23771, 10046, 256, 5620, 596, 2479, 9289, 1018, 4523, 950, 2842, 9514, 338, 936, 1114, 7252, 286, 4270, 267, 2221, 649, 2811, 2469, 547, 4685, 883, 835, 4241, 2460, 540, 7098, 19392, 910, 875, 2011, 7575, 543, 25998, 609, 1585, 2010, 540, 14099, 269, 13018, 267, 1577, 781, 3605, 875, 5536, 538, 519, 5790, 13789, 2282, 519, 3047, 781, 2627, 267, 7133, 1919, 899, 7452, 14778, 543, 4365, 3270, 2439, 5331, 6972, 998, 513, 22501, 11824, 1282, 513, 23222, 5414, 1554, 282, 798, 596, 5469, 875, 519, 5070, 4667, 547, 7544, 1472, 707, 3952, 286, 2334, 781, 1317, 519, 2842, 666, 3560, 6263, 9274, 540, 5070, 676, 17666, 873, 909, 543, 8876, 873, 2059, 269, 3767, 1589, 827, 713, 8345, 593, 513, 1454, 3677, 4336, 267, 971, 607, 2066, 24301, 610, 5318, 2127, 540, 3484, 1633, 269, 1879, 2178, 12798, 9514, 936, 891, 4525, 267, 789, 4584, 909, 6266, 540, 5386, 7452, 5536, 543, 15814, 873, 1164, 909, 538, 519, 6607, 2439, 3719, 723, 596, 2479, 11074, 547, 2015, 1018, 11887, 519, 7306, 540, 1346, 1179, 802, 540, 7452, 10760, 1472, 286, 12207, 6157, 723, 256, 1358, 1353, 1945, 1572, 3487, 1834, 12025, 17392, 630, 4916, 291, 1070, 799, 4016, 547, 519, 3099, 540, 7306, 1336, 1851, 513, 4015, 540, 5536, 269, 4197, 13662, 291, 2337, 3173, 1451, 811, 827, 1141, 519, 7452, 2501, 689, 267, 875, 2484, 621, 12599, 267, 543, 1256, 875, 621, 5540, 2916, 1689, 780, 3086, 267, 1934, 781, 1141, 1919, 1205, 4277, 269, 1284, 917, 602, 13662, 291, 5673, 593, 2188, 899, 3037, 1826, 1107, 585, 1383, 267, 952, 621, 779, 1500, 909, 6140, 540, 5070, 610, 10036, 269, 1809, 972, 779, 1776, 1271, 3815, 12018, 519, 2450, 540, 19501, 7452, 5536, 281, 11508, 6991, 269, 5213, 1405, 5855, 952, 596, 4312, 2760, 4862, 540, 713, 2165, 1354, 282, 3274, 2322, 267, 11508, 6991, 6257, 519, 4222, 540, 519, 2842, 25738, 1996, 519, 2666, 269, 634, 6793, 519, 2842, 267, 519, 2362, 519, 11508, 6991, 269, 1656, 7058, 1018, 286, 1306, 621, 7140, 856, 267, 3152, 11508, 29702, 4043, 547, 2736, 909, 3677, 7452, 5536, 883, 4130, 3283, 2439, 4913, 267, 930, 3744, 5063, 20402, 2436, 13662, 291, 3788, 3586, 5103, 2242, 538, 11508, 6991, 269, 1924, 267, 1577, 781, 2932, 513, 2219, 4603, 1927, 547, 1174, 1946, 713, 1522, 581, 23503, 269, 5994, 8066, 513, 19625, 540, 3819, 5070, 593, 513, 9350, 4832, 1554, 3379, 547, 513, 31830, 344, 5162, 7088, 269, 22682, 267, 811, 24526, 12798, 786, 2014, 32067, 5536, 547, 14649, 2417, 2476, 982, 9543, 23222, 8240, 269, 4475, 267, 649, 3112, 8263, 602, 13662, 291, 13978, 519, 1482, 7488, 540, 8795, 11508, 29702, 780, 11101, 267, 972, 781, 2943, 1776, 10578, 4062, 540, 519, 11015, 281, 11626, 10465, 4494, 630, 5723, 299, 264, 6617, 269, 1548, 1281, 713, 1611, 4010, 286, 6056, 540, 519, 9474, 299, 607, 513, 4990, 540, 24120, 17158, 532, 3047, 781, 2627, 267, 14178, 20733, 1896, 12919, 269, 10738, 713, 7997, 267, 2837, 3604, 1063, 519, 3636, 2666, 543, 16830, 5580, 6106, 1711, 3982, 5163, 3270, 3330, 519, 2011, 2527, 269, 4438, 7123, 2175, 267, 15911, 5210, 620, 21510, 1832, 519, 2539, 6106, 2673, 547, 519, 2666, 267, 1247, 18633, 3871, 2049, 950, 21617, 2011, 29084, 2630, 267, 3850, 585, 2799, 7299, 11544, 780, 3383, 267, 875, 1281, 782, 540, 713, 1921, 1394, 547, 938, 15472, 5070, 5536, 286, 10765, 4681, 2303, 602, 11626, 10465, 4494, 6617, 5222, 7452, 5434, 1932, 269, 16200, 518, 16057, 20517, 2404, 609, 1447, 7123, 2175, 3986, 6070, 566, 10514, 731, 618, 1107, 4952, 1346, 18512, 5070, 9274, 1373, 1166, 2426, 3196, 2685, 5196, 4478, 7252, 1813, 547, 7920, 21611, 3361, 676, 3532, 12798, 269, 1452, 10795, 4205, 3565, 547, 8840, 1524, 8273, 5536, 883, 17646, 1512, 15998, 267, 18867, 19249, 519, 2949, 7452, 13662, 291, 780, 2414, 2040, 909, 267, 1620, 519, 2623, 540, 5536, 1369, 519, 11626, 10465, 4494, 3884, 1405, 1152, 2629, 585, 21264, 532, 7452, 14778, 855, 849, 3091, 4030, 883, 6626, 9259, 899, 2199, 4365, 2621, 543, 2518, 2916, 3466, 269, 5664, 30595, 267, 1985, 942, 596, 1265, 3054, 14952, 532, 693, 2220, 26325, 521, 1343, 593, 513, 19209, 610, 575, 5074, 2390, 688, 5414, 22839, 4904, 609, 11397, 5536, 267, 3314, 519, 1950, 6384, 3297, 873, 1107, 11508, 6991, 267, 3037, 5888, 267, 543, 11626, 10465, 4494, 6617, 5935, 741, 12357, 23929, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 2570, 1890, 540, 9325, 2450, 3892, 693, 7452, 12998, 593, 11508, 6991, 543, 11626, 10465, 2000, 9707, 6617, 454, 8512, 1834, 2450, 3892, 540, 7452, 693, 12998, 630, 706, 560, 13662, 291, 264, 568, 606, 1898, 7274, 547, 7447, 538, 7452, 2090, 269, 898, 814, 1044, 6444, 538, 4505, 1382, 602, 7452, 13662, 291, 568, 8200, 593, 3037, 3601, 630, 324, 3052, 269, 2436, 3037, 568, 5070, 610, 10036, 264, 543, 11508, 6991, 267, 579, 4501, 501, 267, 799, 568, 513, 1147, 5766, 622, 585, 2627, 19852, 2566, 543, 513, 6934, 528, 585, 6070, 566, 1532, 4861, 731, 618, 8515, 269, 901, 6284, 814, 1044, 13934, 538, 930, 2487, 4574, 267, 4929, 513, 7521, 593, 2436, 7452, 13662, 291, 568, 968, 514, 19702, 656, 892, 543, 519, 3406, 585, 922, 24134, 269, 769, 713, 1957, 267, 649, 20272, 519, 7452, 13662, 291, 6027, 538, 519, 3567, 8241, 28545, 15331, 543, 1397, 602, 7452, 13662, 291, 568, 8200, 593, 579, 4501, 501, 543, 593, 11626, 10465, 2000, 9707, 630, 5723, 299, 264, 6617, 269, 1635, 2241, 7811, 543, 10230, 2079, 267, 649, 2491, 519, 1079, 4128, 585, 519, 8545, 21341, 267, 799, 616, 1312, 1644, 547, 8476, 6070, 566, 10514, 731, 618, 538, 12768, 21063, 24360, 2095, 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, 895, 776, 23771, 10046, 257, 607, 851, 540, 834, 306, 11799, 1315, 23317, 1315, 17224, 19392, 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, 634, 4764, 10726, 1996, 519, 6885, 3966, 525, 540, 519, 1507, 19970, 31314, 538, 519, 2295, 540, 519, 4104, 269, 18738, 267, 513, 812, 2893, 14598, 3481, 936, 606, 2025, 11308, 11380, 267, 844, 650, 538, 1688, 267, 9663, 13124, 31163, 17331, 1913, 5196, 533, 1105, 618, 269, 901, 729, 8361, 6424, 774, 648, 879, 267, 513, 14544, 267, 10564, 267, 543, 1557, 626, 1634, 585, 1010, 7096, 2648, 540, 2470, 780, 2026, 519, 7088, 986, 3022, 3544, 267, 972, 3357, 513, 22545, 693, 519, 7450, 269, 3399, 1194, 267, 774, 648, 879, 1305, 1524, 1010, 844, 650, 543, 8118, 519, 7450, 547, 7866, 513, 1762, 4807, 7555, 1354, 1864, 267, 865, 8898, 689, 2212, 547, 23179, 780, 257, 8923, 2097, 538, 2437, 774, 648, 879, 1767, 267, 9694, 1005, 585, 1200, 547, 4283, 269, 834, 2791, 3100, 547, 723, 1044, 9575, 538, 519, 7088, 3010, 257, 8133, 267, 594, 729, 856, 25061, 585, 1426, 950, 519, 22839, 8118, 909, 2437, 1352, 14452, 267, 695, 1853, 532, 269, 834, 296, 4862, 827, 707, 2370, 4603, 856, 1934, 267, 2713, 4805, 538, 519, 19069, 267, 543, 594, 1185, 547, 1294, 621, 585, 8885, 3010, 1320, 648, 879, 21330, 267, 5356, 1200, 513, 10160, 2282, 519, 3595, 2897, 269, 1306, 789, 12038, 267, 646, 3838, 1010, 4555, 593, 519, 2956, 540, 2470, 538, 5935, 938, 2729, 543, 13057, 721, 2509, 4514, 1620, 540, 6000, 543, 519, 7122, 780, 257, 2690, 803, 267, 2470, 568, 811, 982, 1175, 513, 2168, 1747, 282, 621, 568, 513, 5289, 7706, 1141, 649, 666, 1921, 609, 1945, 3152, 982, 6000, 2437, 774, 648, 879, 6045, 269, 834, 3528, 9284, 532, 6000, 538, 922, 5898, 543, 6988, 267, 649, 1930, 6000, 909, 547, 1007, 5380, 543, 4030, 602, 616, 3274, 7543, 547, 2744, 1022, 824, 1259, 3010, 763, 4807, 19557, 32348, 267, 5693, 27278, 676, 774, 648, 879, 781, 2093, 269, 1809, 1287, 1352, 4280, 1864, 513, 2243, 602, 8604, 547, 6952, 1864, 1055, 9856, 780, 257, 3719, 1018, 827, 782, 519, 7092, 543, 27465, 602, 2501, 689, 2713, 2673, 547, 2470, 8119, 1352, 844, 518, 1221, 269, 834, 306, 675, 569, 972, 1590, 581, 930, 19363, 547, 4758, 909, 2413, 7036, 7891, 543, 8508, 519, 1390, 13964, 3010, 1320, 648, 879, 17328, 4310, 585, 513, 4090, 267, 6236, 1200, 1913, 5402, 269, 3973, 646, 15527, 609, 24235, 780, 257, 8170, 1576, 972, 616, 2591, 547, 2713, 538, 10103, 609, 2470, 2437, 646, 15861, 269, 834, 3719, 891, 7965, 1152, 4196, 547, 7794, 938, 8207, 543, 4001, 721, 3407, 4245, 827, 6043, 267, 16177, 267, 543, 1582, 3146, 18910, 269, 1656, 16310, 267, 3884, 1405, 621, 1732, 547, 3068, 14488, 2212, 6823, 2864, 982, 15720, 3297, 519, 635, 325, 2176, 540, 10340, 12482, 19808, 5962, 676, 774, 648, 879, 781, 7326, 543, 6612, 267, 519, 4807, 2451, 519, 19970, 4743, 6273, 543, 9927, 269, 1656, 1498, 741, 7237, 729, 5618, 267, 621, 9863, 547, 581, 513, 11358, 4090, 538, 1312, 741, 2729, 1107, 835, 602, 1131, 3251, 609, 873, 1279, 1310, 519, 7088, 1185, 5293, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 29205, 596, 1865, 519, 1909, 540, 2470, 538, 519, 1568, 540, 8361, 6424, 774, 648, 879, 888, 296, 666, 1683, 519, 1739, 2079, 540, 519, 1909, 540, 2470, 538, 519, 1568, 540, 29165, 30602, 555, 648, 879, 1384, 333, 1155, 5129, 513, 1713, 1909, 538, 519, 12591, 540, 29165, 30602, 555, 648, 879, 267, 513, 476, 866, 628, 10601, 7819, 14544, 267, 10564, 267, 543, 1557, 626, 269, 555, 648, 879, 729, 513, 2067, 626, 945, 1336, 24176, 543, 6667, 538, 2470, 267, 543, 1010, 1568, 2992, 1010, 2620, 7071, 585, 519, 2067, 1158, 269, 8528, 514, 555, 648, 879, 781, 1034, 4583, 960, 267, 834, 19789, 6577, 2437, 646, 11339, 827, 1010, 1995, 2713, 538, 513, 1507, 19970, 538, 519, 18137, 585, 1079, 1296, 269, 646, 27153, 5128, 538, 519, 2067, 5251, 267, 11287, 519, 18508, 543, 21426, 1472, 1864, 543, 14719, 908, 519, 2495, 540, 1272, 269, 538, 713, 1259, 267, 2470, 6039, 607, 1312, 513, 2168, 543, 5289, 20457, 585, 1010, 2123, 18759, 593, 2486, 267, 2528, 267, 543, 6228, 780, 1721, 555, 648, 879, 267, 2470, 729, 711, 8806, 513, 2168, 1604, 855, 513, 5289, 835, 607, 1134, 269, 646, 5156, 602, 519, 2067, 1158, 4371, 519, 1883, 547, 1480, 5289, 1646, 267, 543, 602, 676, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 670, 269, 9652, 8836, 1299, 12409, 7467, 543, 519, 3627, 670, 269, 9652, 8836, 1299, 24573, 584, 658, 4741, 538, 23916, 4975, 267, 607, 1134, 607, 519, 3627, 670, 269, 9652, 3427, 540, 9442, 693, 20999, 2160, 563, 15307, 13846, 4880, 4502, 454, 11990, 568, 835, 540, 519, 5763, 5006, 20859, 543, 835, 540, 519, 1034, 1134, 8153, 269, 3627, 670, 269, 9652, 779, 2121, 4502, 568, 6059, 547, 581, 1472, 1269, 11740, 5479, 267, 2687, 547, 9504, 267, 1280, 15816, 267, 543, 6355, 6184, 3187, 269, 0, 5331, 6972, 1524, 519, 14297, 10754, 540, 4017, 28281, 20279, 267, 29255, 267, 2921, 538, 513, 2620, 7362, 540, 4195, 2011, 269, 3767, 267, 4605, 513, 1272, 1141, 1169, 7362, 3587, 513, 6560, 267, 1141, 707, 9641, 1745, 5230, 267, 543, 1141, 2241, 4247, 2490, 883, 9688, 532, 610, 1372, 1023, 269, 9839, 12577, 267, 3884, 1406, 621, 286, 2334, 779, 519, 4641, 585, 1932, 1082, 11570, 7092, 689, 5761, 3676, 269, 18641, 267, 607, 5102, 3000, 5505, 267, 649, 723, 4388, 547, 948, 2061, 891, 2175, 269, 5221, 3025, 19262, 602, 24253, 7362, 540, 2011, 267, 1169, 942, 563, 8139, 25016, 15302, 454, 299, 2426, 3676, 616, 711, 607, 3551, 607, 789, 3100, 269, 1358, 666, 14229, 752, 909, 593, 596, 267, 3623, 1836, 543, 7444, 269, 634, 8904, 540, 519, 3510, 3587, 1634, 1152, 950, 519, 3441, 568, 1713, 269, 1452, 3676, 666, 1491, 1082, 3029, 899, 5312, 32583, 267, 10447, 267, 5761, 2860, 267, 543, 1082, 1866, 563, 7093, 3685, 568, 14568, 982, 595, 675, 454, 763, 2085, 6040, 6031, 14034, 3020, 1256, 2221, 269, 16473, 532, 5761, 3676, 568, 4443, 543, 811, 2500, 982, 27955, 873, 269, 13667, 585, 513, 2635, 6197, 269, 3680, 7296, 267, 3635, 5781, 267, 543, 2226, 513, 7059, 2732, 269, 1452, 616, 2241, 3268, 269, 1809, 789, 1118, 513, 5458, 3017, 563, 10712, 5803, 568, 2659, 2037, 5519, 454, 2005, 779, 1100, 5728, 269, 3911, 5803, 28746, 707, 9641, 269, 898, 779, 711, 1175, 827, 13189, 269, 21694, 267, 2034, 8518, 8673, 267, 543, 1256, 519, 8673, 689, 707, 3595, 2897, 666, 1860, 707, 9641, 269, 3680, 873, 607, 1454, 607, 596, 666, 269, 7994, 2973, 2011, 936, 8673, 267, 1169, 942, 563, 19865, 568, 2659, 31541, 454, 19865, 2337, 707, 9641, 269, 898, 18791, 873, 543, 8952, 873, 2635, 269, 898, 779, 899, 513, 15904, 585, 707, 9641, 269, 1656, 519, 5898, 540, 621, 568, 602, 596, 1810, 1406, 991, 513, 15547, 15376, 269, 589, 1490, 7416, 3802, 267, 513, 2656, 2196, 267, 513, 11332, 11878, 267, 1256, 15472, 267, 4376, 602, 4991, 707, 2295, 23028, 568, 1434, 585, 707, 9641, 563, 7312, 2732, 4249, 513, 2629, 1909, 1932, 269, 898, 779, 711, 1175, 827, 8477, 543, 2597, 269, 589, 7059, 2732, 2337, 2226, 707, 2949, 1072, 267, 1519, 707, 9641, 269, 3417, 6266, 540, 5613, 267, 5388, 267, 10709, 5946, 267, 543, 2898, 9274, 538, 707, 2732, 269, 1656, 3251, 19872, 256, 4826, 568, 1898, 585, 707, 1072, 563, 15900, 24544, 568, 6206, 454, 15919, 267, 5103, 938, 1655, 3646, 267, 5761, 3676, 666, 10880, 269, 1809, 2038, 7020, 666, 2490, 519, 20352, 269, 8617, 2638, 13522, 267, 1620, 519, 2589, 267, 543, 1373, 14942, 666, 1118, 513, 1158, 540, 3017, 563, 3383, 972, 596, 723, 621, 269, 11822, 3268, 547, 2149, 707, 9641, 269, 5221, 1169, 7362, 1058, 581, 513, 7362, 540, 4195, 2011, 269, 0, 6701, 596, 11842, 952, 3039, 13099, 11535, 568, 2922, 547, 3548, 286, 901, 9341, 4829, 568, 1634, 585, 922, 1072, 2640, 267, 855, 1082, 1004, 616, 18516, 952, 789, 666, 8532, 621, 538, 922, 796, 686, 701, 1106, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 2640, 543, 19363, 540, 4189, 3039, 13099, 11535, 543, 1683, 4388, 593, 875, 547, 5965, 543, 3434, 621, 563, 3719, 1101, 267, 1577, 779, 2911, 827, 1018, 3039, 13099, 11535, 568, 543, 1946, 621, 779, 1434, 585, 596, 269, 14466, 11535, 568, 513, 9341, 4829, 602, 568, 5065, 547, 6792, 543, 6239, 3013, 269, 898, 779, 3638, 538, 8324, 595, 267, 589, 267, 543, 661, 267, 607, 1134, 607, 11379, 267, 13101, 267, 543, 6775, 269, 5682, 13099, 11535, 568, 3274, 606, 796, 686, 701, 13099, 11535, 602, 18387, 1406, 4628, 18009, 2989, 2943, 269, 2755, 22691, 13099, 11535, 568, 6653, 543, 30861, 267, 3039, 13099, 11535, 568, 6109, 543, 814, 513, 7646, 8137, 602, 568, 5594, 15280, 563, 1103, 713, 2376, 267, 594, 786, 3802, 596, 998, 519, 2640, 540, 3039, 13099, 11535, 267, 2436, 621, 779, 2922, 547, 3548, 267, 543, 875, 547, 5965, 621, 269, 1924, 267, 1577, 779, 4685, 538, 543, 2263, 519, 1158, 540, 3039, 13099, 11535, 2336, 1432, 568, 5682, 14466, 11535, 888, 14240, 543, 18567, 540, 5682, 14466, 11535, 454, 16675, 13099, 11535, 568, 519, 796, 686, 701, 4829, 540, 519, 13099, 11535, 3529, 269, 898, 568, 3335, 3039, 538, 2681, 267, 6109, 547, 519, 5905, 267, 543, 814, 513, 7646, 267, 5594, 15280, 6492, 269, 9521, 22691, 13099, 11535, 267, 799, 568, 6653, 543, 30861, 267, 3039, 13099, 11535, 568, 1031, 5097, 538, 29902, 8286, 563, 16675, 13099, 11535, 568, 513, 1455, 12146, 538, 1082, 14913, 7489, 32345, 267, 3226, 21487, 543, 19176, 269, 898, 568, 1419, 1989, 730, 610, 22872, 543, 3773, 547, 25235, 267, 13489, 1922, 1845, 267, 543, 1225, 1845, 269, 769, 1840, 547, 922, 11477, 3096, 267, 3039, 13099, 11535, 568, 849, 1031, 538, 2757, 4915, 563, 301, 26798, 10025, 543, 2657, 11588, 540, 5682, 14466, 11535, 454, 16675, 13099, 11535, 568, 3638, 538, 8324, 543, 6886, 602, 616, 1898, 585, 1434, 1072, 269, 898, 568, 606, 5140, 2707, 540, 6171, 595, 267, 799, 7028, 4761, 1599, 543, 2960, 1072, 269, 898, 849, 3568, 6171, 589, 267, 799, 568, 1271, 585, 3750, 1072, 267, 607, 1134, 607, 6171, 661, 267, 799, 6411, 607, 606, 15934, 538, 519, 1560, 563, 1103, 1840, 547, 922, 6171, 1543, 267, 3039, 13099, 11535, 568, 849, 513, 1434, 2707, 540, 6775, 267, 799, 7028, 9667, 1072, 543, 2337, 547, 10038, 1973, 4006, 2157, 269, 898, 849, 3568, 11379, 543, 13101, 267, 799, 616, 1271, 585, 2295, 1072, 563, 10932, 5267, 602, 3039, 13099, 11535, 949, 723, 513, 1297, 540, 1072, 2640, 269, 1280, 1383, 267, 621, 949, 948, 547, 2569, 6553, 538, 519, 1560, 267, 799, 568, 5532, 547, 513, 2039, 540, 5312, 3676, 267, 1519, 2295, 2068, 543, 2860, 269, 898, 949, 849, 723, 2860, 1922, 18017, 3601, 267, 7064, 547, 922, 1164, 2157, 540, 14434, 563, 14454, 267, 3039, 13099, 11535, 568, 513, 14312, 543, 11684, 12146, 602, 568, 1134, 4502, 6220, 883, 707, 2732, 269, 769, 519, 1985, 3296, 267, 649, 786, 2263, 2436, 621, 779, 2922, 547, 3548, 543, 5635, 3039, 13099, 11535, 547, 922, 22691, 11218, 563, 4692, 1411, 16202, 5682, 14466, 11535, 888, 2252, 596, 2461, 11842, 2436, 3039, 13099, 11535, 568, 2922, 547, 3548, 267, 519, 2626, 568, 9811, 256, 2755, 621, 949, 711, 581, 607, 6653, 543, 30861, 607, 22691, 13099, 11535, 267, 3039, 13099, 11535, 568, 1869, 17580, 543, 14095, 609, 5567, 269, 769, 1249, 267, 930, 1004, 4782, 3039, 13099, 11535, 585, 922, 2189, 8137, 543, 29511, 344, 9403, 563, 21008, 2581, 1063, 681, 6559, 543, 5682, 14466, 11535, 454, 4407, 1312, 22691, 543, 3039, 13099, 11535, 2097, 689, 519, 1482, 4829, 267, 789, 723, 930, 4909, 3604, 269, 681, 6559, 13099, 11535, 568, 2571, 267, 6653, 267, 543, 814, 513, 6505, 10538, 2681, 267, 1247, 3039, 13099, 11535, 568, 6109, 267, 7646, 538, 8137, 267, 543, 814, 513, 3039, 880, 3917, 3641, 2960, 269, 681, 6559, 13099, 11535, 568, 1419, 13881, 6151, 267, 1247, 3039, 13099, 11535, 568, 3335, 11273, 610, 1031, 538, 25235, 563, 19119, 540, 14856, 5682, 14466, 11535, 454, 16675, 13099, 11535, 568, 513, 3638, 2707, 540, 8324, 267, 6886, 267, 543, 14434, 269, 898, 779, 3226, 1164, 538, 6171, 595, 267, 799, 7028, 4761, 1599, 543, 20018, 2504, 269, 3958, 267, 3039, 13099, 11535, 3568, 11476, 602, 5351, 12536, 543, 949, 948, 13468, 2589, 540, 9667, 4713, 899, 26533, 543, 19228, 563, 19352, 10587, 540, 14856, 5682, 14466, 11535, 454, 4407, 3039, 13099, 11535, 568, 3622, 2922, 547, 3548, 267, 621, 1281, 2270, 3735, 343, 267, 799, 666, 2014, 606, 13027, 5114, 538, 930, 1004, 269, 3958, 267, 10438, 1804, 5666, 540, 3039, 13099, 11535, 666, 723, 513, 561, 1314, 894, 1198, 543, 949, 2014, 13165, 269, 1403, 596, 2461, 18516, 827, 2436, 3039, 13099, 11535, 568, 2922, 585, 596, 547, 3548, 267, 621, 779, 1655, 547, 5077, 609, 513, 3782, 3318, 563, 1103, 5758, 267, 3039, 13099, 11535, 568, 2922, 547, 3548, 543, 814, 1082, 1072, 2640, 269, 2755, 621, 949, 711, 581, 607, 6653, 607, 22691, 13099, 11535, 267, 621, 779, 1869, 513, 17705, 543, 14312, 4829, 602, 666, 581, 10150, 538, 513, 3099, 540, 8286, 563, 1692, 547, 16259, 543, 13648, 5682, 14466, 11535, 454, 16675, 13099, 11535, 568, 513, 11684, 12146, 602, 666, 581, 1031, 538, 1082, 1114, 8286, 269, 3371, 616, 930, 2081, 547, 5965, 543, 3434, 3039, 13099, 11535, 912, 17843, 18467, 547, 13648, 5682, 14466, 11535, 454, 4537, 1042, 4765, 281, 1411, 666, 27054, 3039, 13099, 11535, 543, 946, 621, 538, 25235, 610, 607, 513, 21959, 880, 585, 824, 8286, 269, 1677, 27054, 3039, 13099, 11535, 267, 946, 513, 10448, 22019, 518, 610, 513, 8260, 22223, 547, 20105, 621, 883, 6094, 17446, 563, 1805, 597, 1922, 787, 281, 5682, 13099, 11535, 666, 581, 13489, 1922, 3072, 609, 824, 5388, 610, 16469, 269, 12338, 519, 3039, 13099, 11535, 883, 1507, 4773, 543, 13489, 1922, 787, 621, 609, 13342, 267, 19637, 267, 543, 707, 5172, 5820, 563, 22517, 6150, 281, 1411, 666, 14974, 3039, 13099, 11535, 543, 946, 621, 607, 513, 2427, 8670, 610, 1039, 621, 547, 27130, 543, 12403, 338, 269, 1677, 14974, 3039, 13099, 11535, 267, 2759, 621, 883, 1507, 4773, 543, 1039, 621, 547, 14495, 1216, 269, 13648, 2394, 13035, 267, 1287, 8963, 543, 4196, 563, 13434, 6346, 543, 14313, 585, 5682, 14466, 11535, 2598, 1127, 454, 16675, 14466, 11535, 6428, 611, 281, 901, 568, 513, 2442, 8670, 538, 14913, 5607, 269, 1744, 1042, 3039, 13099, 11535, 543, 3575, 621, 609, 14274, 267, 31625, 18717, 267, 18654, 10433, 267, 3165, 14036, 267, 543, 4006, 269, 5440, 609, 30637, 543, 11922, 563, 16675, 14466, 11535, 4354, 787, 281, 12338, 3039, 13099, 11535, 883, 1507, 4773, 543, 1039, 621, 547, 513, 1225, 787, 14036, 1500, 609, 17310, 5144, 267, 1225, 787, 8869, 267, 543, 824, 14546, 269, 31160, 936, 7573, 610, 609, 14255, 534, 3694, 563, 16675, 14466, 11535, 3911, 26743, 773, 281, 2349, 754, 3039, 13099, 11535, 609, 18506, 267, 9932, 267, 543, 4672, 585, 513, 24253, 543, 2635, 5347, 773, 563, 2467, 616, 1082, 824, 2081, 547, 5965, 543, 3434, 3039, 13099, 11535, 267, 865, 1810, 1406, 581, 12922, 547, 4603, 543, 2119, 1007, 10346, 269, 2060, 922, 7646, 8137, 543, 1072, 2640, 267, 3039, 13099, 11535, 568, 513, 1390, 1840, 547, 1022, 7594, 563, 16675, 14466, 11535, 31204, 454, 16675, 13099, 11535, 568, 513, 11684, 12146, 602, 666, 581, 1031, 538, 513, 3099, 540, 8286, 269, 3371, 616, 930, 2635, 543, 8949, 3039, 13099, 11535, 10346, 547, 2119, 912, 16675, 14466, 11535, 6428, 611, 454, 1607, 24253, 19997, 568, 513, 2442, 21487, 8670, 602, 10905, 519, 29511, 1465, 540, 3039, 13099, 11535, 609, 519, 12050, 10366, 540, 18654, 267, 3165, 14036, 267, 543, 669, 559, 2080, 779, 875, 547, 1118, 621, 912, 268, 476, 272, 1507, 3039, 13099, 11535, 267, 22019, 539, 543, 27054, 4765, 454, 268, 476, 273, 13342, 804, 7174, 267, 1295, 1027, 454, 268, 476, 273, 512, 26138, 3165, 14036, 454, 268, 476, 273, 512, 26138, 18654, 10433, 454, 268, 476, 272, 512, 26138, 6960, 4006, 454, 268, 476, 272, 268, 273, 6177, 779, 3750, 669, 25788, 267, 1295, 1027, 454, 268, 476, 272, 19625, 540, 22269, 14274, 267, 10300, 1386, 454, 268, 476, 272, 19625, 540, 3039, 10365, 267, 2759, 883, 476, 273, 20878, 4773, 454, 268, 476, 272, 270, 275, 7484, 28777, 30637, 267, 16760, 454, 268, 18610, 524, 559, 656, 549, 3762, 267, 585, 21959, 880, 454, 268, 769, 513, 1507, 12826, 267, 31953, 1927, 519, 13342, 267, 3165, 14036, 267, 18654, 10433, 267, 543, 6960, 4006, 2394, 519, 4006, 568, 15702, 563, 268, 769, 513, 1804, 12826, 267, 9192, 519, 27054, 4765, 3039, 13099, 11535, 267, 22269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3403, 2891, 6011, 1454, 798, 596, 1118, 12422, 286, 5602, 2745, 263, 2335, 783, 5334, 531, 776, 994, 704, 1417, 5334, 8491, 815, 3403, 2891, 10938, 519, 2600, 540, 14057, 547, 4688, 267, 607, 513, 8918, 5602, 15251, 5334, 8491, 815, 10581, 263, 2335, 783, 5334, 531, 776, 264, 2608, 10581, 263, 704, 1417, 5334, 8491, 994, 2745, 263, 15251, 5334, 8491, 994, 258, 1699, 5334, 822, 902, 815, 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 ]
[ 4777, 596, 917, 945, 3213, 778, 9652, 14659, 616, 519, 1283, 1614, 5716, 593, 938, 2319, 12482, 297, 600, 531, 695, 745, 13949, 1010, 17525, 269, 834, 5591, 2856, 267, 855, 594, 914, 621, 781, 803, 267, 6599, 534, 267, 543, 14977, 2401, 1701, 1261, 1989, 514, 2740, 18390, 1354, 546, 1026, 17331, 519, 3440, 1063, 1010, 7953, 269, 8528, 288, 9366, 695, 809, 1200, 2212, 267, 12902, 1200, 4064, 1404, 2685, 693, 11918, 531, 781, 1582, 12431, 3293, 1145, 269, 834, 2005, 781, 4440, 23183, 267, 8885, 267, 543, 1287, 2901, 6599, 534, 610, 14977, 2401, 267, 4470, 593, 952, 3213, 778, 2418, 25213, 936, 8878, 3010, 300, 807, 3787, 1200, 2539, 9067, 6179, 3585, 267, 18516, 2436, 1352, 4941, 547, 2307, 1200, 1985, 2243, 269, 834, 4517, 1862, 6343, 798, 596, 1589, 938, 1367, 9342, 616, 12482, 257, 11039, 267, 1250, 8929, 568, 13417, 31463, 762, 10590, 11918, 531, 608, 13094, 1510, 7508, 513, 10726, 269, 834, 10870, 778, 3081, 594, 723, 5140, 1106, 543, 666, 9496, 689, 9170, 593, 519, 5480, 3010, 288, 9366, 20493, 27145, 693, 1200, 3659, 269, 834, 300, 807, 267, 707, 3432, 543, 22231, 1118, 596, 606, 6909, 1219, 2658, 269, 1411, 2141, 4383, 547, 21102, 519, 3440, 1394, 950, 649, 991, 621, 1034, 1701, 2701, 17328, 4310, 267, 6236, 1200, 1378, 1983, 269, 834, 2026, 585, 803, 267, 594, 7058, 1250, 4463, 2337, 803, 10544, 1346, 9157, 6450, 2432, 267, 543, 594, 960, 1134, 896, 2604, 1282, 1863, 25001, 3010, 9617, 1287, 267, 6599, 534, 543, 14977, 2401, 8678, 873, 267, 2348, 23986, 731, 519, 2766, 1439, 540, 741, 6643, 780, 257, 3383, 267, 1018, 2990, 1281, 3025, 1616, 547, 1404, 538, 519, 2462, 3014, 14182, 8119, 4280, 6599, 534, 267, 513, 561, 1678, 344, 7911, 609, 14296, 945, 6068, 1835, 684, 4221, 2338, 3592, 607, 1454, 607, 4730, 14912, 780, 307, 344, 2401, 267, 513, 2178, 543, 14980, 1826, 267, 6743, 15826, 585, 513, 4090, 1354, 6340, 909, 269, 834, 2171, 1058, 1445, 593, 10888, 1101, 267, 1287, 5855, 827, 7158, 2663, 3010, 4263, 602, 1360, 8216, 267, 3213, 778, 9652, 5605, 1194, 2509, 519, 1895, 267, 1010, 2479, 1790, 6974, 17157, 4580, 512, 26786, 896, 1010, 6186, 269, 22628, 519, 2503, 656, 5654, 593, 519, 1453, 781, 8188, 267, 646, 4956, 621, 729, 942, 547, 2232, 23183, 781, 4505, 13214, 780, 257, 2704, 2431, 267, 620, 2431, 2437, 669, 3089, 1194, 3213, 778, 9652, 267, 27012, 1010, 3946, 1927, 269, 834, 7712, 596, 782, 3100, 865, 8049, 267, 1577, 781, 1865, 938, 1283, 1614, 5716, 543, 741, 9757, 9342, 3010, 3891, 1085, 10165, 519, 11235, 8188, 1354, 11173, 269, 834, 3086, 3314, 267, 11570, 1107, 1169, 2582, 835, 540, 596, 814, 1945, 2189, 547, 3142, 547, 519, 3349, 267, 855, 891, 1614, 2043, 1796, 856, 1813, 547, 741, 11108, 5759, 3010, 290, 548, 2130, 1010, 11563, 13497, 267, 3213, 778, 9652, 31570, 1010, 17157, 4580, 269, 834, 5978, 1101, 6345, 568, 9039, 824, 982, 11918, 531, 256, 3571, 15246, 6111, 568, 5963, 7415, 267, 1818, 1864, 606, 17170, 10697, 8164, 649, 1265, 6000, 911, 4979, 3297, 3010, 297, 600, 531, 25858, 539, 1010, 9221, 856, 23217, 267, 1666, 6362, 538, 519, 17192, 780, 308, 526, 2678, 1042, 676, 11918, 531, 781, 5114, 267, 3213, 778, 4797, 269, 834, 9202, 909, 267, 649, 723, 2997, 320, 269, 4173, 6450, 15929, 23258, 5849, 602, 649, 2226, 15896, 540, 519, 3440, 267, 4758, 721, 15792, 3255, 547, 6060, 3010, 288, 9366, 581, 3139, 693, 1373, 6444, 585, 1200, 3646, 267, 12162, 3429, 3507, 8271, 693, 3213, 778, 9652, 780, 7661, 267, 3213, 778, 5828, 1010, 3007, 547, 23183, 267, 4171, 2295, 1236, 5792, 513, 10726, 538, 24736, 269, 834, 8310, 855, 6157, 711, 2547, 267, 972, 781, 23183, 269, 4173, 2656, 3206, 543, 562, 574, 1076, 3723, 1740, 1450, 1200, 547, 9505, 1524, 1256, 519, 4739, 5006, 17837, 267, 15980, 1200, 519, 2140, 540, 938, 5728, 14049, 3010, 300, 807, 7948, 1405, 948, 855, 1025, 2313, 693, 519, 6397, 5360, 2939, 267, 18507, 585, 1200, 2319, 10863, 262, 11215, 1159, 3796, 780, 4913, 267, 1919, 3576, 513, 2490, 585, 519, 8338, 1282, 519, 4890, 3014, 950, 11918, 531, 2968, 18930, 539, 609, 18445, 5128, 607, 519, 1655, 6345, 593, 519, 2319, 269, 674, 745, 1598, 730, 676, 513, 3126, 540, 14406, 15833, 267, 646, 8057, 5051, 10728, 267, 23969, 532, 15852, 5716, 543, 554, 690, 3101, 519, 3440, 269, 11531, 267, 2997, 320, 1336, 9887, 10010, 1996, 26339, 10779, 2456, 267, 15819, 1200, 4502, 1369, 519, 2319, 5103, 1200, 5812, 2773, 2429, 2853, 780, 4002, 519, 521, 573, 3894, 267, 3213, 778, 9652, 14478, 27303, 569, 607, 1010, 2899, 23887, 1770, 30477, 3603, 883, 2695, 13741, 1782, 1249, 687, 269, 3807, 950, 646, 729, 827, 547, 1289, 513, 942, 719, 267, 23183, 22283, 4464, 267, 5462, 547, 32006, 720, 519, 3510, 780, 9515, 15504, 11918, 531, 11735, 267, 3168, 1864, 2786, 538, 519, 3750, 269, 834, 2791, 2811, 1732, 982, 713, 267, 11918, 531, 2437, 1352, 1767, 28663, 2943, 16119, 269, 834, 8855, 1946, 649, 3323, 4730, 538, 519, 1101, 1747, 1107, 1317, 621, 781, 1187, 256, 17547, 20468, 827, 1373, 1412, 1492, 1655, 10086, 543, 1175, 2972, 3054, 856, 972, 3010, 2414, 2997, 320, 267, 1352, 6035, 1913, 540, 19015, 269, 834, 10673, 1405, 5635, 3054, 547, 1866, 267, 2997, 320, 269, 10312, 593, 3257, 707, 1655, 267, 543, 3388, 3116, 786, 2887, 883, 1747, 3010, 15463, 791, 668, 696, 340, 533, 788, 2911, 8604, 547, 13469, 609, 1312, 11918, 531, 543, 2997, 320, 267, 20872, 873, 547, 1201, 1371, 741, 19367, 593, 5885, 741, 2319, 2864, 982, 18656, 3101, 538, 4620, 1399, 15180, 1845, 269, 1635, 2324, 1927, 267, 789, 7307, 547, 804, 1177, 741, 1259, 1394, 689, 513, 1713, 1448, 17211, 267, 5555, 6932, 4619, 16124, 9624, 795, 889, 559, 656, 1750, 619, 780, 5475, 1189, 267, 3213, 778, 10356, 1010, 10997, 1472, 1864, 267, 1210, 519, 4316, 547, 5397, 1753, 930, 1271, 1272, 4245, 269, 834, 9213, 781, 3014, 6026, 721, 782, 3407, 4245, 827, 21548, 267, 16177, 267, 543, 9322, 2437, 646, 3459, 27041, 569, 269, 834, 23149, 15421, 666, 1152, 1491, 721, 865, 2484, 282, 3020, 1967, 2501, 689, 9301, 543, 8508, 938, 7104, 4222, 3010, 307, 9506, 2509, 23183, 267, 646, 3773, 16416, 2685, 267, 834, 14188, 596, 585, 22348, 721, 782, 540, 602, 2221, 267, 737, 1342, 334, 269, 2659, 6568, 543, 5718, 941, 4010, 1018, 649, 2877, 547, 7485, 998, 3010, 1103, 519, 4374, 602, 4553, 267, 519, 32712, 23516, 338, 4682, 593, 547, 3094, 1896, 811, 3756, 267, 6038, 17516, 519, 23594, 1222, 2140, 585, 2933, 543, 26587, 3213, 778, 9652, 513, 17501, 24214, 6202, 269, 2859, 11932, 267, 2705, 267, 519, 1995, 4547, 519, 2468, 334, 6251, 1927, 267, 1128, 3739, 538, 873, 1898, 21644, 899, 8296, 267, 8699, 267, 543, 6043, 1107, 7907, 602, 1131, 17216, 4196, 873, 1134, 1312, 593, 543, 1055, 519, 5480, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 18658, 616, 519, 1283, 1614, 5716, 593, 519, 2319, 543, 1018, 616, 741, 1367, 9342, 888, 296, 3112, 3313, 519, 2319, 596, 616, 13288, 547, 269, 24963, 1683, 811, 9355, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 8080, 547, 938, 3408, 540, 28626, 27565, 1143, 256, 901, 2856, 8813, 896, 519, 8273, 22597, 540, 2797, 4978, 1634, 607, 11122, 32236, 543, 12666, 1143, 269, 2913, 781, 4685, 883, 1018, 2306, 11636, 5391, 5644, 8743, 780, 4263, 922, 4295, 267, 11636, 12666, 1143, 6212, 593, 1818, 2386, 3025, 814, 3160, 3255, 547, 8011, 1247, 7863, 1004, 945, 1522, 991, 930, 3063, 948, 269, 5994, 596, 543, 707, 2828, 941, 4730, 513, 3014, 1927, 269, 1403, 835, 3659, 2141, 3893, 13603, 2063, 585, 6887, 610, 7012, 1405, 2016, 513, 4023, 4960, 547, 1404, 267, 596, 1522, 1589, 621, 729, 15490, 269, 589, 11636, 12666, 1131, 1616, 547, 1689, 519, 3652, 865, 602, 3025, 4991, 513, 2490, 543, 7959, 3769, 269, 1358, 3494, 538, 2324, 1927, 547, 1711, 513, 2486, 1141, 1100, 835, 568, 2451, 3297, 780, 3086, 1577, 781, 2736, 1524, 1614, 1883, 3344, 540, 11636, 12666, 1143, 1384, 272, 269, 25734, 543, 31621, 281, 3807, 899, 1169, 6345, 16462, 513, 4023, 8929, 693, 10627, 538, 938, 3014, 1383, 267, 11636, 5391, 5644, 1616, 782, 2043, 547, 723, 3160, 1569, 547, 2200, 543, 8458, 547, 3035, 741, 3853, 269, 1280, 3236, 267, 789, 949, 7903, 585, 4507, 4180, 6690, 543, 8695, 666, 7390, 1153, 8449, 267, 7488, 540, 1141, 789, 2661, 269, 1635, 3257, 713, 267, 649, 6536, 606, 1604, 1141, 3025, 814, 606, 4316, 547, 3914, 741, 2407, 1761, 780, 273, 269, 19938, 540, 24371, 281, 16514, 3054, 3843, 856, 585, 513, 5026, 2319, 269, 14348, 333, 1405, 621, 581, 24858, 952, 824, 5716, 1750, 730, 676, 1210, 5728, 2706, 335, 10183, 286, 6684, 267, 11636, 5391, 5644, 1810, 1405, 899, 621, 950, 2462, 3549, 946, 741, 1379, 15490, 569, 269, 2334, 781, 1946, 789, 12167, 585, 4031, 602, 1832, 4213, 9237, 543, 2327, 6800, 5749, 1405, 3144, 5413, 540, 1107, 1175, 899, 875, 22275, 525, 17997, 3652, 1282, 3756, 269, 1452, 6042, 3895, 513, 1377, 4730, 2361, 585, 1312, 1507, 4213, 543, 1804, 14078, 7567, 780, 274, 269, 4317, 8881, 715, 1115, 281, 6884, 267, 1256, 950, 1272, 25001, 721, 7455, 27750, 267, 11636, 5391, 5644, 3494, 972, 1058, 1869, 581, 2081, 547, 6952, 6000, 1354, 9991, 1932, 2484, 269, 6056, 827, 2348, 513, 2121, 2630, 1346, 1164, 911, 701, 8240, 693, 519, 2235, 639, 282, 1514, 3106, 24437, 960, 13974, 538, 2486, 269, 6201, 1331, 13864, 2640, 4543, 2576, 1265, 1007, 960, 1310, 9561, 513, 2816, 610, 3782, 3292, 21528, 3885, 609, 2564, 3790, 269, 28626, 5391, 5644, 8044, 891, 3800, 2061, 23434, 689, 4742, 31837, 25236, 762, 9465, 780, 1103, 5758, 267, 11636, 5391, 5644, 2832, 585, 513, 1158, 1141, 3025, 4249, 676, 519, 1482, 3652, 543, 11392, 3160, 3255, 547, 8853, 269, 1358, 5000, 15725, 4213, 547, 2226, 14619, 543, 3715, 28863, 1996, 27644, 2591, 998, 1514, 3106, 24437, 269, 3767, 979, 8521, 543, 2671, 707, 1620, 540, 11636, 12666, 1143, 609, 1866, 910, 3314, 267, 10825, 1702, 2337, 1628, 6793, 2950, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 11823, 22315, 1449, 281, 13017, 454, 29381, 11749, 1132, 1449, 281, 13017, 454, 5141, 657, 652, 26969, 281, 1323, 1105, 334, 4211, 2174, 684, 1143, 454, 2304, 1105, 334, 4211, 2174, 684, 1143, 568, 513, 1106, 540, 29450, 1143, 602, 15156, 585, 519, 20552, 540, 16851, 543, 519, 1533, 267, 607, 1134, 607, 519, 7104, 9562, 540, 519, 1797, 540, 2504, 269, 1323, 1105, 334, 4211, 2174, 684, 1235, 1489, 513, 18228, 4346, 543, 2229, 267, 609, 1323, 1105, 334, 4149, 344, 526, 673, 1143, 1373, 513, 1455, 1259, 540, 12180, 971, 513, 2486, 563, 9202, 14191, 13292, 454, 268, 7027, 4004, 1143, 281, 476, 9032, 269, 276, 14999, 268, 7027, 4004, 1143, 568, 513, 1106, 540, 19382, 4004, 1143, 602, 7153, 538, 5125, 543, 26652, 538, 519, 2038, 268, 736, 628, 2540, 269, 7027, 4004, 1235, 7947, 7589, 538, 12666, 9111, 267, 1489, 21245, 26201, 267, 543, 3494, 538, 771, 11391, 1077, 532, 2797, 6105, 538, 3870, 540, 519, 4600, 685, 5646, 15078, 563, 268, 19889, 268, 2304, 1105, 1143, 281, 476, 11011, 269, 274, 14999, 268, 19889, 268, 2304, 1105, 1143, 267, 610, 5682, 1323, 1105, 1143, 267, 568, 513, 1106, 540, 29450, 1143, 602, 4025, 513, 1880, 8561, 593, 2825, 2152, 269, 898, 568, 1419, 5532, 547, 811, 3982, 19237, 971, 607, 1323, 1105, 334, 4149, 344, 526, 673, 1143, 269, 19889, 268, 2304, 1105, 1235, 616, 3622, 12316, 543, 1489, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3682, 326, 4809, 27565, 1143, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 11572, 8211, 3098, 1315, 20271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 5616, 22553, 13658, 883, 5616, 15858, 888, 12812, 1934, 547, 1451, 827, 519, 9238, 540, 5616, 4813, 689, 7705, 3223, 601, 518, 563, 263, 273, 264, 8437, 593, 519, 23994, 834, 290, 690, 20253, 601, 257, 12835, 543, 3442, 519, 19532, 22003, 313, 2464, 9184, 547, 2490, 593, 519, 7688, 4183, 563, 2791, 666, 849, 1039, 16148, 2055, 547, 519, 5616, 4813, 269, 1717, 267, 596, 786, 991, 547, 2824, 834, 30952, 267, 1310, 8261, 2689, 257, 896, 519, 24793, 6103, 4259, 5079, 269, 3767, 267, 519, 9344, 786, 581, 5950, 1310, 596, 4312, 1185, 513, 4960, 547, 14350, 1224, 270, 14079, 519, 6114, 563, 7230, 5407, 281, 2991, 596, 2490, 707, 5616, 4813, 883, 513, 13658, 267, 596, 786, 991, 547, 979, 1394, 883, 519, 1106, 547, 2697, 519, 2953, 2626, 5079, 269, 1411, 666, 849, 1039, 5955, 585, 2953, 543, 11234, 6114, 563, 2691, 596, 4945, 593, 519, 7084, 538, 707, 20837, 267, 621, 1058, 8850, 1491, 596, 547, 519, 22295, 7728, 20796, 298, 9184, 269, 570, 3796, 585, 1142, 2875, 1058, 1402, 3634, 609, 513, 22739, 585, 1142, 2875, 267, 1175, 899, 824, 5616, 9022, 10467, 267, 543, 596, 3513, 581, 2111, 547, 1294, 945, 568, 667, 821, 543, 3502, 667, 821, 563, 5475, 14467, 29313, 18306, 16998, 4696, 2464, 538, 519, 1283, 1318, 7944, 267, 519, 7688, 8464, 1058, 2408, 593, 519, 8464, 18694, 547, 519, 2451, 2427, 540, 519, 2985, 269, 23657, 14350, 610, 676, 14467, 834, 5472, 4841, 2580, 4945, 519, 681, 4953, 7838, 301, 9184, 547, 6494, 891, 8464, 547, 707, 1053, 563, 1692, 798, 1053, 1265, 741, 5616, 22553, 13658, 8464, 538, 5616, 15858, 888, 5629, 1053, 4945, 883, 834, 7312, 4518, 257, 782, 540, 741, 10467, 786, 581, 7396, 2059, 609, 602, 7084, 781, 4567, 630, 328, 4318, 269, 2667, 11220, 267, 31932, 267, 12414, 539, 769, 1070, 610, 952, 621, 781, 1044, 28439, 267, 519, 6060, 786, 581, 7396, 607, 519, 4567, 269, 0, 1432, 6496, 898, 6399, 1879, 589, 19504, 6796, 13669, 802, 6168, 30027, 748, 22627, 454, 763, 2165, 968, 13678, 6714, 748, 4296, 892, 3622, 4016, 547, 519, 1297, 540, 3457, 602, 666, 581, 4448, 547, 519, 19504, 3028, 543, 2911, 547, 519, 4950, 693, 2899, 269, 1280, 1383, 267, 950, 594, 729, 6117, 2066, 519, 2197, 543, 2324, 538, 1250, 15678, 4055, 693, 3781, 267, 594, 1419, 1185, 1312, 1250, 5839, 9349, 1160, 543, 27317, 4448, 547, 519, 4950, 563, 296, 1031, 519, 5839, 9349, 1160, 585, 1603, 267, 5329, 519, 27317, 1930, 547, 798, 19707, 543, 1265, 5885, 1344, 269, 5637, 540, 891, 941, 4448, 547, 519, 4950, 693, 835, 942, 269, 901, 729, 2009, 1317, 519, 19504, 3028, 594, 729, 1210, 4847, 909, 547, 1614, 4296, 547, 1930, 693, 2899, 563, 1607, 568, 849, 513, 1434, 1259, 547, 1683, 1489, 585, 811, 982, 835, 1920, 4759, 593, 513, 2582, 20478, 269, 13575, 267, 972, 779, 1100, 1434, 2601, 585, 513, 19504, 8502, 547, 1450, 1447, 982, 1079, 610, 1614, 4296, 269, 1403, 707, 8502, 1152, 2636, 835, 267, 1265, 1776, 29449, 269, 1284, 5795, 3063, 2798, 538, 938, 19504, 15682, 547, 1346, 21527, 945, 4847, 1614, 610, 811, 4296, 563, 1432, 1772, 589, 19504, 1656, 1215, 6496, 898, 13363, 2725, 454, 288, 19504, 568, 606, 813, 602, 596, 3888, 593, 707, 3926, 547, 948, 1832, 707, 2123, 1239, 2922, 607, 596, 19584, 519, 4950, 454, 2791, 949, 723, 4862, 602, 19504, 8924, 2661, 593, 707, 3926, 543, 1450, 596, 547, 1921, 547, 519, 4950, 18172, 269, 1548, 602, 1797, 568, 267, 950, 596, 2490, 707, 19504, 813, 593, 267, 707, 3926, 2306, 513, 5150, 4276, 547, 513, 7463, 2780, 602, 11507, 4950, 6808, 267, 1572, 513, 19504, 7746, 269, 1411, 849, 949, 723, 4862, 602, 707, 4276, 568, 20386, 538, 606, 24290, 15993, 799, 1797, 707, 3926, 543, 519, 7746, 2671, 513, 5150, 4276, 865, 1152, 596, 666, 1294, 1018, 596, 516, 3257, 593, 519, 4950, 563, 1692, 6496, 19504, 4518, 454, 4131, 779, 1376, 609, 519, 2596, 2856, 540, 4950, 2792, 269, 14597, 596, 2461, 693, 707, 11380, 543, 596, 1616, 547, 1569, 513, 3896, 899, 2098, 291, 15187, 269, 1677, 798, 713, 267, 707, 2780, 4384, 919, 513, 7662, 676, 11488, 930, 21168, 269, 1403, 596, 2461, 538, 606, 5604, 267, 1346, 21168, 1419, 2951, 998, 17176, 543, 31425, 593, 707, 29135, 1354, 789, 616, 11843, 547, 519, 1857, 4950, 998, 513, 18760, 563, 5629, 593, 519, 1857, 4950, 267, 1346, 21168, 2951, 998, 513, 19619, 540, 5904, 269, 589, 5094, 7662, 568, 1500, 547, 513, 3126, 540, 2012, 13763, 547, 14377, 519, 22665, 2012, 2098, 291, 15187, 2593, 547, 606, 7379, 2232, 269, 2334, 1344, 568, 2366, 1394, 547, 707, 11422, 267, 799, 1287, 15920, 519, 7662, 1586, 998, 1082, 5904, 593, 519, 1857, 4950, 269, 16828, 267, 621, 10301, 519, 2098, 291, 15187, 5989, 267, 799, 849, 11507, 1346, 21168, 267, 1178, 2125, 513, 1357, 2985, 2073, 543, 15920, 782, 602, 1394, 547, 596, 563, 10376, 4950, 7662, 2356, 2164, 538, 513, 2898, 3126, 540, 2792, 2621, 1063, 2789, 2798, 269, 634, 1259, 513, 19504, 1568, 568, 676, 17278, 532, 1346, 21168, 693, 519, 23608, 1448, 267, 1419, 15720, 519, 1239, 543, 519, 1344, 827, 707, 23608, 7379, 2232, 269, 634, 19504, 3301, 593, 707, 1439, 1287, 15920, 1346, 21168, 547, 519, 19504, 7746, 693, 930, 10278, 1448, 267, 1232, 7973, 532, 602, 1344, 563, 3080, 540, 519, 1034, 1271, 2152, 538, 1620, 519, 7182, 540, 19504, 338, 568, 1620, 1141, 519, 1439, 4812, 540, 519, 19504, 7746, 29084, 269, 1284, 3580, 2911, 827, 602, 1985, 563, 27775, 2105, 7335, 281, 645, 785, 7780, 528, 1370, 1677, 19504, 454, 8256, 18790, 1548, 589, 19504, 6496, 3502, 1684, 9701, 1411, 12846, 2422, 2290, 454, 8133, 267, 540, 1576, 563, 288, 2603, 540, 519, 1919, 513, 19504, 1281, 711, 798, 616, 1152, 968, 9526, 10587, 892, 1813, 547, 25749, 610, 1808, 7653, 1547, 6875, 873, 856, 540, 519, 3830, 267, 543, 596, 2461, 2451, 609, 513, 1360, 22510, 3028, 563, 9617, 1055, 519, 1283, 540, 938, 9843, 267, 513, 19504, 786, 3247, 19961, 31462, 1777, 1782, 267, 5732, 2061, 667, 2710, 306, 6285, 267, 17278, 707, 1239, 2073, 21271, 2520, 334, 15918, 4169, 543, 3595, 31486, 267, 1118, 8731, 1370, 532, 10930, 267, 543, 12404, 707, 3059, 29066, 4586, 8196, 621, 1927, 609, 824, 3354, 3435, 2073, 543, 596, 4076, 3893, 606, 5140, 1259, 547, 1832, 707, 1239, 543, 7834, 2922, 593, 519, 1357, 563, 2252, 596, 8910, 899, 547, 1265, 856, 811, 827, 519, 829, 802, 540, 1210, 513, 19504, 610, 1175, 1451, 875, 513, 19504, 1568, 267, 2638, 856, 938, 2347, 3391, 593, 19504, 338, 563, 309, 14149, 21964, 281, 5901, 2659, 6732, 932, 1846, 17721, 454, 4407, 972, 616, 513, 1297, 540, 5150, 20261, 8924, 2139, 2073, 1082, 2442, 8924, 1810, 1406, 2709, 14238, 267, 610, 2154, 596, 547, 1904, 2987, 2864, 982, 1904, 13050, 269, 1403, 707, 20261, 3884, 1406, 24290, 972, 779, 513, 4960, 621, 1223, 581, 18448, 539, 676, 606, 16080, 3187, 563, 9827, 267, 1247, 621, 4465, 1406, 1860, 707, 2834, 1591, 5365, 267, 513, 19504, 666, 948, 2149, 707, 27215, 7709, 7125, 269, 1656, 267, 1256, 952, 707, 3028, 2488, 14238, 607, 3044, 267, 1210, 513, 19504, 607, 606, 3063, 4494, 540, 4027, 786, 2285, 596, 519, 15260, 4269, 602, 596, 2731, 666, 3717, 707, 2247, 563, 5649, 811, 827, 519, 1655, 5985, 19504, 8924, 2139, 2221, 454, 2791, 2904, 6145, 281, 3733, 7638, 714, 517, 28509, 7731, 12476, 454, 26835, 15822, 2201, 5398, 654, 604, 328, 17978, 454, 7336, 334, 1746, 1857, 31923, 5121, 547, 5531, 1239, 568, 2241, 543, 11212, 10464, 269, 595, 3234, 10904, 666, 1491, 5413, 540, 1930, 543, 796, 16780, 7973, 539, 5121, 547, 21102, 1271, 1239, 899, 707, 4871, 3877, 267, 5491, 6486, 267, 6337, 267, 543, 824, 2123, 1344, 563, 2691, 596, 946, 519, 1857, 31923, 4276, 538, 513, 22538, 2946, 267, 15678, 267, 610, 19633, 596, 616, 8380, 707, 6213, 2123, 1239, 693, 1981, 563, 295, 871, 619, 616, 5051, 13389, 20730, 543, 10918, 544, 8712, 538, 13287, 540, 1164, 17032, 9072, 269, 901, 568, 1500, 4443, 609, 10464, 3937, 602, 3947, 3592, 4896, 519, 2702, 547, 1491, 5413, 540, 1857, 31923, 5121, 585, 896, 1269, 4200, 563, 288, 19504, 666, 581, 1031, 547, 2149, 3054, 689, 713, 2186, 540, 3463, 269, 898, 786, 17278, 707, 4950, 6808, 543, 1118, 621, 3592, 7543, 585, 21190, 547, 1174, 543, 17908, 707, 1239, 563, 2690, 713, 2601, 267, 513, 19504, 568, 606, 17170, 1907, 952, 596, 2951, 4749, 543, 5781, 946, 1930, 31923, 5121, 563, 4462, 31695, 5121, 693, 1753, 616, 849, 513, 1981, 269, 1306, 6552, 960, 3587, 811, 1455, 267, 20737, 616, 7432, 741, 3007, 2509, 7925, 1753, 5121, 513, 2259, 1634, 607, 20758, 337, 1516, 563, 2252, 596, 516, 7255, 827, 707, 3354, 593, 1857, 5121, 267, 1224, 938, 3391, 547, 9363, 2922, 593, 1857, 31923, 563, 306, 9331, 300, 14473, 281, 309, 14149, 2533, 17278, 782, 519, 6808, 6028, 707, 3926, 269, 901, 1797, 596, 666, 946, 513, 19504, 547, 2149, 707, 6213, 1239, 593, 796, 31695, 31923, 5121, 269, 1403, 606, 30429, 18448, 338, 707, 4276, 267, 789, 786, 1152, 1294, 12673, 540, 16662, 3485, 1043, 5022, 543, 2338, 563, 1103, 589, 715, 7491, 17850, 1215, 6496, 589, 19504, 4518, 454, 1103, 2110, 267, 513, 19504, 28570, 338, 707, 6808, 2476, 689, 707, 4959, 303, 779, 13763, 543, 6494, 621, 998, 922, 1378, 269, 2755, 3257, 602, 267, 621, 17278, 338, 621, 865, 1100, 835, 3116, 666, 1224, 621, 267, 1256, 621, 941, 547, 581, 18448, 539, 563, 309, 14149, 338, 946, 513, 1297, 540, 1114, 10873, 547, 4483, 707, 1239, 267, 609, 7046, 309, 14149, 543, 18514, 10817, 731, 1631, 2808, 519, 1034, 2442, 543, 5150, 563, 4407, 19504, 338, 1599, 1134, 547, 2149, 707, 1239, 267, 1082, 946, 873, 547, 796, 23026, 18297, 1543, 689, 18246, 269, 2334, 779, 2009, 7064, 547, 2518, 5121, 540, 13763, 11262, 676, 513, 1880, 3028, 267, 543, 676, 23332, 998, 513, 7746, 538, 513, 1114, 1858, 267, 596, 666, 8945, 4609, 883, 3206, 602, 596, 2461, 2731, 972, 563, 14454, 267, 19504, 338, 616, 5393, 13561, 3156, 543, 1683, 6266, 540, 1114, 3252, 269, 3767, 602, 596, 917, 811, 827, 875, 789, 960, 267, 596, 1058, 581, 538, 513, 1732, 2990, 547, 3442, 513, 19504, 8502, 602, 17015, 782, 707, 2115, 269, 1717, 267, 952, 596, 323, 899, 547, 1451, 811, 827, 19504, 338, 267, 2638, 856, 938, 1548, 568, 513, 19504, 286, 3391, 563, 10673, 1406, 7323, 281, 1215, 1677, 24296, 889, 18285, 3245, 20918, 341, 335, 333, 454, 17809, 728, 8881, 3414, 1323, 7716, 640, 454, 2691, 1210, 513, 19504, 267, 707, 3060, 1344, 5526, 607, 952, 621, 568, 4947, 689, 513, 4087, 1114, 982, 707, 1378, 269, 901, 24320, 1047, 585, 3060, 1239, 2337, 1832, 19504, 3755, 2922, 267, 1317, 4896, 3168, 547, 21102, 1344, 1131, 581, 3478, 519, 19504, 13763, 1239, 3079, 269, 4635, 513, 19504, 8952, 519, 3593, 779, 4087, 543, 824, 3407, 1344, 5150, 543, 538, 17739, 1043, 676, 13311, 6105, 563, 4692, 594, 5192, 589, 5131, 19504, 454, 2690, 513, 1279, 942, 267, 621, 729, 1945, 540, 513, 1854, 1143, 602, 968, 604, 596, 1810, 1406, 2628, 585, 513, 1587, 1287, 596, 616, 519, 1587, 6100, 2311, 1655, 596, 1223, 946, 513, 1360, 3908, 1863, 3028, 602, 729, 2370, 811, 982, 513, 512, 2120, 585, 513, 6976, 16519, 3028, 602, 1522, 2965, 1616, 547, 946, 563, 1607, 3510, 814, 4957, 936, 519, 2063, 7008, 540, 1296, 267, 543, 972, 616, 1631, 693, 2547, 513, 7008, 540, 1863, 19504, 2533, 856, 972, 799, 616, 2965, 3833, 1434, 269, 4634, 891, 616, 3908, 538, 1585, 2081, 267, 1498, 267, 3379, 547, 811, 14167, 2533, 269, 1284, 723, 1336, 602, 10464, 19504, 2533, 616, 1851, 519, 1655, 593, 519, 2344, 269, 19504, 338, 609, 519, 1034, 8179, 1310, 2934, 666, 581, 1336, 585, 1447, 982, 1269, 273, 513, 3923, 563, 9827, 6744, 281, 18124, 341, 335, 333, 1280, 11197, 7641, 454, 20376, 675, 17583, 1280, 22647, 4518, 454, 19968, 525, 2221, 991, 547, 2015, 4950, 3106, 811, 982, 2479, 269, 2060, 811, 1004, 982, 2479, 2324, 689, 1753, 267, 6213, 2754, 543, 6075, 1344, 568, 693, 513, 2362, 1981, 540, 17403, 563, 2690, 1383, 267, 2161, 606, 9441 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 997, 345, 9346, 28804, 2020, 825, 1219, 1449, 7272, 1512, 9749, 2763, 318, 2041, 345, 10734, 558, 2421, 4311, 2187, 1038, 5727, 310, 344, 330, 517, 534, 773, 476, 1015, 1449, 6759, 342, 1990, 737, 331, 1731, 14269, 384, 503, 857, 655, 9419, 565, 928, 2998, 1135, 320, 530, 1631, 324, 329, 1989, 2763, 267, 25697, 385, 376, 1372, 512, 752, 773, 15393, 4073, 4883, 334, 676, 24089, 530, 565, 928, 5212, 1295, 344, 27969, 454, 1038, 2119, 321, 815, 1412, 330, 7055, 1038, 929, 345, 2988, 611, 330, 578, 324, 7272, 7637, 815, 27883, 12690, 20120, 9792, 4311, 6155, 29888, 8113, 1070, 4351, 20120, 9792, 4311, 4732, 10045, 758, 8113, 4297, 585, 9041, 538, 2039, 263, 1015, 22708, 1038, 585, 1535, 267, 586, 538, 929, 345, 2988, 611, 330, 578, 324, 7272, 7637, 912, 2018, 1631, 320, 318, 680, 753, 5633, 815, 1292, 269, 5522, 753, 5633, 4311, 6155, 29888, 8113, 267, 1582, 4732, 10045, 758, 8113, 267, 1582, 269, 997, 345, 9346, 28804, 994, 2018, 676, 5055, 10734, 4861, 320, 815, 1631, 320, 318, 680, 753, 5633, 269, 5793, 752, 322, 10937, 6025, 787, 321, 267, 1535, 267, 586, 994, 2018, 1582, 20596, 16178, 263, 2421, 5055, 10734, 4861, 320, 2020, 825, 1219, 1449, 318, 14567, 23950, 3570, 4311, 2187, 1038, 5727, 307, 12239, 476, 273, 269, 910, 28822, 1731, 14269, 384, 503, 322, 773, 1135, 320, 267, 530, 344, 23410, 342, 2884, 5055, 23313, 384, 503, 6132, 345, 9346, 1295, 530, 521, 384, 483, 338, 1221, 345, 13512, 773, 1135, 320, 692, 11434, 570, 12239, 476, 275, 269, 910, 28822, 1731, 14269, 384, 503, 322, 773, 1135, 320, 575, 11276, 2909, 330, 1295, 530, 521, 384, 483, 338, 1221, 345, 13512, 773, 692, 1038, 570, 12239, 476, 276, 269, 910, 23520, 333, 659, 7999, 773, 1135, 320, 795, 752, 334, 968, 14654, 795, 652, 1295, 320, 892, 910, 6132, 345, 23364, 12063, 333, 659, 345, 3415, 577, 4073, 514, 1329, 530, 345, 4592, 333, 384, 483, 24089, 522, 476, 272, 12163, 1038, 4351, 269, 23092, 263, 9340, 272, 994, 1038, 1582, 269, 852, 320, 318, 680, 753, 5633, 9884, 903, 342, 2884, 331, 4590, 1038, 26723, 520, 22448, 7272, 1961, 322, 523, 773, 815, 546, 338, 4877, 1961, 322, 29646, 21014, 4590, 1038, 585, 2119, 321, 267, 1535, 267, 586, 538, 546, 338, 4877, 1961, 322, 29646, 912, 2018, 1582, 20596, 16178, 4311, 269, 852, 320, 318, 680, 753, 5633, 4877, 19390, 539, 2106, 322, 5414, 318, 745, 577, 6025, 787, 321, 267, 1535, 267, 586, 4917, 1038, 1582, 20596, 12148, 4311, 269, 852, 320, 318, 680, 753, 5633, 4877, 19390, 539, 2106, 322, 5414, 318, 745, 577, 28949, 739, 520, 22448, 7272, 1961, 322, 523, 773, 11723, 825, 1219, 1449, 318, 1440, 345, 1122, 337, 3570, 4311, 2187, 1038, 5727, 307, 12239, 476, 274, 269, 910, 28822, 1731, 14269, 384, 503, 322, 773, 1135, 320, 267, 530, 344, 23410, 342, 2884, 5055, 23313, 384, 503, 1295, 320, 267, 1178, 23313, 384, 503, 32748, 385, 482, 322, 5414, 2437, 3269, 454, 1038, 4351, 269, 23092, 263, 19442, 273, 994, 1038, 1582, 269, 852, 320, 318, 680, 753, 5633, 9884, 903, 342, 2884, 331, 4590, 1038, 522, 16330, 773, 7272, 1961, 322, 523, 773, 815, 546, 338, 4877, 1961, 322, 29646, 273, 21014, 4590, 1038, 585, 2119, 321, 267, 1535, 267, 586, 538, 546, 338, 4877, 1961, 322, 29646, 273, 912, 2018, 1582, 20596, 16178, 4311, 269, 852, 320, 318, 680, 753, 5633, 4877, 19390, 539, 2106, 322, 5414, 318, 745, 577, 6025, 787, 321, 267, 1535, 267, 586, 4917, 1038, 1582, 20596, 12148, 4311, 269, 852, 320, 318, 680, 753, 5633, 4877, 19390, 539, 2106, 322, 5414, 318, 745, 577, 28949, 739, 534, 773, 7272, 1961, 322, 523, 773, 11723, 825, 1219, 1449, 318, 345, 333, 752, 318, 345, 777, 344, 11927, 807, 4311, 2187, 1038, 5727, 307, 12239, 476, 277, 269, 23520, 333, 659, 7999, 773, 1135, 320, 795, 752, 334, 968, 14654, 4779, 385, 376, 324, 676, 24089, 1295, 320, 892, 12163, 1038, 585, 2119, 321, 267, 1535, 267, 586, 538, 546, 338, 4877, 1961, 322, 29646, 274, 912, 2018, 1582, 269, 852, 320, 318, 680, 753, 5633, 269, 5793, 752, 322, 10937, 6025, 787, 321, 267, 1535, 267, 586, 994, 1038, 29473, 345, 2131, 12685, 2033, 318, 6853, 339, 1690, 333, 5942, 815, 1496, 454, 2018, 1496, 16178, 316, 2608, 1582, 4732, 10045, 758, 8113, 585, 9041, 538, 2039, 4311, 6155, 29888, 8113, 22708, 1038, 29473, 345, 2131, 12685, 2033, 318, 6853, 339, 1690, 333, 5942, 314, 276, 6012, 274, 316, 815, 6936, 454, 1038, 29473, 345, 2131, 12685, 2033, 318, 6853, 339, 1690, 333, 5942, 314, 274, 6012, 276, 316, 815, 6936, 454, 1038, 678, 345, 1815, 5414, 342, 626, 324, 318, 6853, 339, 1690, 333, 5942, 815, 1496, 454, 2018, 1496, 343, 4877, 12682, 1690, 23364, 585, 1535, 538, 530, 4536, 345, 2639, 2018, 585, 530, 4536, 345, 538, 1582, 269, 852, 320, 318, 680, 753, 5633, 6745, 629, 318, 1440, 5414, 322, 7416, 578, 2639, 1038, 1582, 27863, 16868, 345, 1815, 5414, 342, 626, 324, 318, 6853, 339, 1690, 333, 5942, 267, 29473, 345, 2131, 12685, 2033, 318, 6853, 339, 1690, 333, 5942, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 4590, 0, 1012, 7956, 10624, 538, 5124, 454, 11434, 454, 3698, 1820, 318, 5443, 340, 263, 2567, 11434, 12361, 2659, 10624, 1374, 1934, 454, 825, 1820, 476, 1789, 2608, 29038, 257, 2073, 834, 300, 2894, 308, 257, 2073, 476, 1789, 2608, 29038, 4840, 825, 1820, 834, 272, 269, 32386, 26840, 476, 272, 4840, 825, 1820, 834, 273, 269, 32386, 26840, 476, 273, 4840, 825, 1820, 834, 274, 269, 32386, 26840, 476, 274, 4840, 825, 1820, 834, 275, 269, 32386, 26840, 476, 275, 4840, 825, 1820, 834, 276, 269, 1401, 527, 4840, 825, 1820, 476, 6858, 2608, 29038, 4840, 22322, 31467, 18989, 11434, 692, 3698, 1292, 5443, 340, 263, 2567, 22322, 825, 1247, 8520, 281, 16875, 12361, 2755, 8520, 799, 786, 1832, 2469, 2394, 8520, 815, 8771, 454, 1038, 1820, 318, 5443, 340, 3890, 825, 12361, 2598, 680, 904, 10624, 454, 1038, 3903, 815, 3403, 2891, 11767, 707, 3903, 1496, 272, 268, 1321, 13912, 19515, 1363, 3097, 1038, 952, 3903, 2525, 272, 281, 672, 3097, 2018, 1820, 834, 24464, 340, 476, 272, 814, 1044, 5697, 4840, 2018, 12361, 1411, 666, 1039, 707, 3009, 610, 3252, 1934, 454, 1038, 8640, 3903, 2525, 273, 912, 2018, 1820, 834, 24464, 340, 476, 273, 814, 1044, 5697, 4840, 2018, 12361, 1411, 666, 1039, 707, 3009, 610, 3252, 1934, 454, 1038, 8640, 3903, 2525, 274, 912, 2018, 1820, 834, 24464, 340, 476, 274, 814, 1044, 5697, 4840, 2018, 12361, 1411, 666, 1039, 707, 3009, 610, 3252, 1934, 454, 1038, 8640, 3903, 2525, 275, 912, 2018, 1820, 834, 24464, 340, 476, 275, 814, 1044, 5697, 4840, 2018, 12361, 1411, 666, 1039, 707, 3009, 610, 3252, 1934, 454, 1038, 8640, 3903, 2525, 276, 912, 2018, 1820, 834, 24464, 340, 476, 276, 814, 1044, 5697, 4840, 2018, 12361, 1411, 666, 1039, 707, 3009, 610, 3252, 1934, 454, 2018, 8520, 25716, 1948, 901, 786, 1118, 519, 1247, 8520, 547, 1439, 607, 711, 1871, 540, 8520, 568, 1305, 547, 8771, 454, 1038, 3116, 912, 2018, 1948, 7102, 8870, 11378, 824, 982, 2418, 476, 272, 268, 276, 649, 1820, 606, 5470, 5048, 454, 2018, 6151, 17750, 2891, 2207, 305, 3036, 281, 654, 3994, 7490, 3442, 606, 4781, 1063, 476, 272, 547, 476, 1321, 5602, 0, 18257, 1477, 1724, 269, 3503, 513, 5124, 1982, 547, 4990, 513, 1592, 540, 29005, 21594, 1477, 18257, 1477, 331, 17342, 346, 262, 4486, 9166, 27835, 11357, 4486, 9166, 476, 272, 3686, 267, 27835, 4486, 9166, 27835, 11357, 4486, 9166, 476, 1015, 3686, 267, 27835, 4486, 9166, 27835, 11357, 4486, 9166, 476, 276, 3686, 15947, 331, 31699, 31107, 284, 14433, 552, 281, 552, 9131, 4486, 262, 6012, 262, 11357, 4486, 28710, 516, 2091, 18989, 3418, 2745, 10857, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1646, 563, 15761, 3290, 3397, 1258, 558, 626, 910, 24583, 531, 15867, 1186 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17296, 2630, 476, 10384, 595, 269, 25289, 568, 1447, 1487, 21063, 982, 9770, 543, 1281, 711, 6338, 23606, 269, 476, 274, 269, 31406, 17296, 568, 2556, 585, 1082, 6211, 6547, 269, 1280, 1383, 267, 1585, 3070, 476, 275, 563, 9773, 6458, 3884, 1406, 1152, 1336, 538, 5144, 267, 543, 621, 3884, 1406, 607, 1434, 585, 707, 3905, 8685, 607, 621, 568, 585, 707, 7633, 630, 520, 2547, 711, 538, 1164, 5666, 1040, 4407, 707, 1216, 1281, 991, 930, 7513, 547, 1832, 707, 9063, 2157, 7059, 267, 2348, 1164, 2157, 2451, 31250, 666, 4734, 18440, 543, 19221, 602, 568, 2352, 547, 4894, 543, 2560, 25289, 10434, 1145, 769, 2659, 12182, 31793, 281, 18421, 1411, 10261, 1677, 5700, 3367, 2859, 19314, 1724, 270, 1321, 270, 1001, 273, 6440, 476, 272, 269, 589, 4062, 540, 11956, 4496, 568, 3773, 547, 513, 3070, 540, 8988, 24277, 269, 476, 273, 269, 1325, 26891, 4496, 568, 3773, 547, 513, 3070, 540, 7601, 263, 2862, 264, 17296, 269, 476, 274, 269, 25756, 3154, 568, 5293, 936, 3905, 7601, 263, 2862, 264, 12547, 269, 476, 275, 269, 9540, 25098, 540, 4396, 9770, 616, 3773, 547, 1216, 269, 476, 276, 269, 25289, 4496, 568, 277, 563, 2704, 26891, 6491, 1679, 1107, 1325, 26891, 568, 1325, 274, 266, 543, 6491, 1679, 568, 12971, 476, 273, 268, 269, 634, 7059, 4542, 568, 1325, 263, 17472, 476, 273, 264, 476, 274, 269, 3503, 519, 2012, 3503, 519, 4542, 623, 321, 5141, 476, 273, 11635, 263, 7656, 264, 6491, 20183, 10878, 476, 273, 290, 476, 273, 302, 476, 275, 25289, 555, 328, 30662, 622, 918, 290, 301, 31406, 9829, 924, 630, 26822, 476, 275, 264, 476, 273, 4596, 476, 274, 21019, 263, 296, 264, 19552, 19923, 263, 17472, 476, 274, 264, 476, 273, 27002, 302, 454, 300, 2426, 21167, 630, 4942, 848, 565, 639, 2234, 9332, 639, 700, 4700, 25168, 1156, 565, 1349, 22887, 340, 919, 11956, 14001, 3556, 3999, 16464, 640, 998, 606, 681, 5308, 2389, 3419, 13499, 6970, 476, 273, 266, 1315, 297, 301, 298, 21610, 293, 268, 24681, 289, 15202, 13374, 538, 14148, 5253, 8342, 551, 1547, 476, 1001, 278, 4924, 476, 2420, 282, 279, 263, 273, 2567, 5952, 272, 268, 5952, 280, 269, 8222, 281, 476, 1015, 269, 9818, 280, 11305, 277, 325, 334, 26289, 1704, 322, 563, 16498, 16544, 540, 25289, 25914, 728, 9085, 1239, 593, 519, 2168, 3601, 540, 7513, 17296, 267, 922, 3289, 6233, 543, 3435, 3622, 3277, 547, 6986, 1570, 269, 26192, 7513, 17296, 267, 2705, 267, 568, 1152, 2139, 538, 4130, 9424, 689, 3114, 556, 26047, 3761, 454, 4131, 5257, 338, 1491, 513, 6251, 1413, 269, 14597, 649, 3575, 9770, 17296, 630, 27845, 5141, 264, 609, 7513, 23253, 630, 25519, 12569, 476, 275, 1070, 1312, 19729, 25617, 7135, 269, 634, 10567, 2472, 540, 606, 5385, 5114, 1131, 581, 9770, 23253, 630, 27845, 476, 273, 14298, 476, 275, 264, 543, 7513, 17296, 630, 25519, 5141, 476, 273, 2187, 531, 26891, 28538, 728, 1341, 20841, 6556, 11956, 17296, 1341, 28538, 710, 476, 273, 2704, 27778, 8975, 481, 1341, 476, 274, 5141, 8975, 480, 9890, 476, 273, 2704, 5141, 8975, 481, 1341, 476, 274, 27778, 8975, 480, 9770, 19552, 1341, 7513, 17296, 6556, 7513, 19552, 1341, 9770, 17296, 476, 273, 27845, 8975, 481, 17269, 8975, 482, 1341, 476, 274, 25519, 5141, 8975, 480, 9890, 6970, 8975, 481, 263, 17269, 8975, 482, 264, 8975, 480, 1341, 476, 277, 27845, 5141, 11379, 8392, 622, 950, 12699, 11729, 454, 273, 13070, 17472, 274, 1341, 6970, 5141, 273, 1341, 476, 275, 295, 273, 302, 10857, 264, 815, 476, 273, 13070, 5141, 16378, 497, 1341, 6970, 263, 17472, 274, 264, 273, 1892, 275, 295, 273, 302, 7827, 538, 5131, 6052, 281, 18529, 294, 263, 736, 290, 264, 815, 910, 5325, 269, 278, 330, 297, 630, 17463, 267, 865, 519, 5114, 8255, 264, 7827, 538, 2037, 11209, 6853, 281, 18529, 295, 263, 736, 290, 264, 815, 910, 7830, 269, 271, 330, 297, 630, 17463, 267, 865, 519, 5114, 568, 608, 1278, 6193, 264, 634, 3043, 10511, 10028, 568, 8988, 17296, 267, 589, 454, 24248, 4530, 19047, 281, 18554, 16796, 7513, 610, 9357, 1242, 7513, 267, 669, 5979, 8573, 728, 29679, 18754, 267, 13607, 9914, 31599, 1725, 10901, 267, 531, 321, 6058, 25467, 1706, 4331, 5514, 327, 768, 821, 27456, 8025, 264, 9830, 1354, 543, 21237, 1282, 3797, 585, 2126, 1993, 3834, 5914, 268, 20945, 269, 2904, 2014, 8519, 454, 13706, 519, 5114, 540, 11956, 23253, 543, 7513, 28355, 547, 1831, 11956, 28355, 543, 7513, 23253, 269, 1325, 476, 273, 630, 12569, 476, 275, 264, 476, 274, 1341, 6970, 630, 15121, 264, 476, 273, 734, 15010, 1325, 630, 15121, 264, 476, 274, 1341, 6970, 12569, 476, 275, 630, 320, 264, 14216, 633, 519, 4834, 602, 1590, 581, 3020, 538, 1931, 585, 713, 3114, 3830, 547, 581, 7059, 269, 630, 321, 454, 2704, 26891, 17296, 2746, 609, 9770, 28355, 547, 3132, 26459, 28355, 543, 9770, 17296, 269, 11906, 5114, 269, 21344, 3114, 4834, 269, 5851, 1234, 13905, 18248, 5678, 281, 8297, 1965, 679, 8298, 538, 281, 11906, 6547, 29112, 8707, 7515, 1325, 26891, 17296, 476, 274, 454, 1015, 270, 279, 270, 1708, 271, 6440, 25289, 19941, 568, 1500, 540, 7513, 267, 5135, 267, 543, 3327, 269, 25289, 267, 1373, 519, 1034, 10731, 7777, 538, 519, 1480, 1560, 267, 6589, 585, 476, 272, 268, 273, 260, 540, 922, 2597, 269, 1809, 1152, 1472, 476, 272, 260, 540, 519, 2698, 1560, 7513, 568, 1336, 538, 519, 1973, 267, 1247, 519, 6967, 476, 4200, 260, 568, 6740, 538, 519, 7633, 543, 4522, 563, 274, 270, 278, 270, 1001, 280, 6440, 7513, 17296, 630, 25519, 5141, 476, 273, 264, 25289, 17296, 666, 581, 1336, 607, 513, 27445, 26259, 610, 607, 513, 4155, 6070, 610, 632, 268, 6005, 8665, 269, 1403, 596, 616, 1210, 519, 4155, 6070, 267, 581, 2386, 621, 568, 6986, 7513, 17296, 543, 711, 513, 7848, 540, 1585, 20919, 269, 25289, 17296, 568, 849, 519, 3742, 12146, 538, 519, 454, 290, 3201, 5746, 9331, 8863, 299, 3036, 22432, 630, 25519, 5141, 476, 273, 264, 9253, 1206, 547, 910, 1839, 674, 1772, 519, 16595, 267, 1034, 2500, 4672, 15835, 2139, 20031, 1756, 1790, 878, 539, 267, 2147, 547, 13101, 17296, 267, 855, 11013, 16519, 1790, 895, 267, 5283, 1206, 7466, 607, 1454, 4672, 1290, 525, 538, 10652, 2280, 610, 1166, 820, 1106, 1772, 1728, 326, 14029, 8084, 267, 5373, 7509, 689, 519, 454, 1724, 270, 279, 270, 1001, 275, 6440, 2776, 8619, 1903, 6969, 1210, 11956, 17296, 267, 2995, 707, 4387, 610, 14278, 626, 952, 596, 616, 13027, 547, 621, 282, 610, 952, 596, 723, 1022, 824, 11959, 20136, 1587, 949, 2270, 29680, 5820, 267, 799, 666, 454, 1240, 270, 1015, 270, 1001, 278, 6440, 15240, 13699, 1331, 824, 11956, 543, 4401, 20919, 267, 899, 9770, 620, 636, 3729, 543, 7542, 878, 23253, 267, 855, 891, 949, 610, 949, 711, 960, 269, 1160, 3064, 8767, 2472, 267, 3079, 540, 21113, 267, 949, 2709, 513, 1732, 3070, 269, 1280, 1383, 267, 513, 1906, 2472, 689, 589, 4811, 11627, 320, 779, 589, 4811, 476, 8517, 1899, 616, 5140, 31431, 585, 620, 636, 543, 7542, 878, 17296, 912, 300, 1725, 10901, 17296, 267, 27002, 5141, 476, 273, 267, 15702, 538, 26869, 267, 568, 606, 10731, 267, 2067, 2707, 540, 519, 1360, 3730, 4496, 13101, 269, 13804, 10901, 568, 513, 1455, 5057, 540, 23212, 269, 2353, 9081, 616, 3812, 676, 1071, 1456, 513, 6986, 4496, 609, 835, 610, 811, 824, 2609, 547, 1106, 513, 454, 22546, 338, 540, 7513, 543, 11956, 17296, 23937, 593, 1165, 3511, 543, 998, 6420, 7998, 538, 4006, 12103, 1255, 9137, 630, 14457, 12232, 264, 538, 11206, 17905, 543, 5004, 476, 14983, 263, 272, 268, 274, 2567, 4037, 268, 3445, 5788, 4864, 476, 1220, 272, 609, 454, 5632, 6458, 20962, 622, 10563, 507, 502, 423, 363, 372, 267, 10563, 510, 499, 14602, 502, 267, 7513, 20962, 622, 14602, 502, 10563, 510, 499, 14602, 502, 281, 476, 272, 269, 513, 3043, 3114, 6219, 1031, 547, 1118, 9160, 543, 29147, 540, 8303, 543, 547, 1118, 824, 6878, 16634, 10563, 508, 494, 424, 482, 372, 425, 508, 486, 10563, 499, 490, 424, 499, 482, 423, 367, 368, 422, 372, 364, 269, 1261, 4607, 1079, 24977, 267, 835, 585, 513, 1184, 585, 519, 9668, 540, 13101, 17296, 454, 2704, 26891, 17296, 1107, 11379, 17296, 1107, 8652, 18608, 545, 3679, 1107, 1216, 269, 634, 5123, 11466, 1899, 585, 1071, 1790, 13440, 760, 2787, 540, 11379, 17296, 543, 11956, 17296, 15279, 320, 5139, 3433, 693, 476, 2412, 595, 538, 713, 1062, 568, 3254, 269, 1325, 26891, 17296, 1107, 8652, 18608, 545, 3679, 1107, 1216, 563, 24246, 661, 313, 9253, 1206, 25289, 9578, 609, 12098, 534, 667, 274, 543, 13804, 10901, 267, 476, 4335, 8406, 267, 4427, 1782, 783, 23554, 7530, 267, 12098, 534, 267, 20023, 17491, 267, 7849, 853, 3863, 9440, 4469, 2948, 267, 476, 1911, 16258, 19837, 9876, 7305, 1206, 2560, 0, 20412, 639, 540, 13113, 3604, 454, 24552, 7404, 11810, 540, 13113, 3604, 454, 1692, 547, 946, 11810, 540, 13113, 3604, 538, 513, 4845, 454, 4517, 875, 649, 1616, 547, 2661, 938, 2729, 538, 1769, 540, 1346, 3604, 563, 763, 28543, 21582, 2692, 903, 6133, 856, 741, 1533, 6361, 7308, 1148, 11176, 30806, 563, 2171, 25747, 11876, 626, 938, 4212, 562, 690, 538, 519, 2011, 267, 9784, 1142, 824, 267, 543, 6318, 938, 856, 6361, 2389, 2317, 9739, 538, 5152, 7868, 4107, 4762, 6748, 8285, 8535, 10370, 7879, 4112, 7134, 630, 4668, 292, 302, 31206, 298, 5271, 514, 12096, 517, 347, 20103, 476, 2190, 267, 476, 1001, 275, 347, 6395, 6579, 312, 18688, 17129, 454, 291, 23360, 20205, 513, 835, 6361, 8584, 29292, 9913, 1995, 547, 1169, 4055, 540, 707, 1753, 267, 5911, 8393, 563, 763, 1152, 3604, 267, 607, 2484, 607, 594, 666, 2995, 267, 616, 6753, 540, 519, 22836, 1373, 13603, 543, 519, 530, 24548, 1373, 20898, 269, 10908, 3317, 23894, 1772, 3767, 590, 2454, 31177, 3122, 1849, 582, 1127, 269, 26419, 269, 347, 2304, 320, 21322, 30532, 347, 20103, 476, 736, 267, 476, 1001, 275, 347, 6395, 6579, 312, 18688, 17129, 454, 4322, 3604, 540, 4690, 786, 1291, 547, 13882, 267, 2192, 1973, 267, 543, 6368, 547, 9668, 563, 2791, 2760, 917, 950, 596, 616, 2469, 547, 588, 18443, 2390, 513, 13049, 538, 519, 1034, 856, 6361, 7308, 17574, 7944, 8160, 639, 545, 268, 19138, 538, 5125, 24820, 3240, 674, 599, 454, 13706, 762, 20178, 1137, 689, 519, 15485, 949, 2049, 538, 5738, 673, 11810, 267, 21061, 267, 543, 1007, 326, 992, 2195, 6993, 15015, 540, 11916, 23369, 347, 22832, 23720, 25595, 454, 3719, 10815, 731, 781, 513, 936, 321, 792, 514, 262, 5067, 6361, 8584, 3766, 684, 782, 5180, 267, 543, 646, 781, 2141, 2736, 514, 262, 856, 538, 513, 1007, 1747, 10611, 1177, 7108, 21270, 1068, 8681, 654, 269, 16429, 743, 1515, 454, 16031, 269, 6215, 665, 636, 729, 711, 13473, 538, 513, 6280, 267, 543, 1010, 1272, 814, 1044, 538, 676, 1790, 23411, 267, 543, 856, 6361, 7308, 17574, 4025, 269, 0, 763, 9147, 5259, 21396, 1141, 2966, 547, 3142, 519, 2829, 540, 10255, 1927, 1247, 2870, 513, 13348, 5328, 5790, 1369, 519, 1004, 269, 634, 16380, 540, 713, 942, 1141, 10583, 543, 6126, 547, 581, 1175, 602, 267, 5259, 267, 4352, 930, 844, 19128, 1782, 7018, 1063, 519, 2829, 789, 1185, 513, 7123, 11180, 2229, 267, 543, 3532, 7952, 543, 26010, 540, 799, 729, 21787, 1851, 519, 3504, 1158, 855, 1018, 6854, 713, 782, 1927, 286, 17610, 569, 621, 7012, 1405, 1175, 519, 22257, 1062, 269, 1703, 1185, 547, 581, 1776, 5820, 948, 547, 1832, 621, 782, 1927, 267, 972, 729, 269, 634, 10632, 267, 972, 1141, 2185, 10632, 5712, 267, 835, 585, 1142, 1032, 267, 519, 623, 2814, 1014, 3756, 267, 519, 715, 655, 6756, 3756, 267, 634, 594, 560, 327, 332, 1014, 3756, 543, 519, 1034, 1271, 543, 4583, 540, 873, 782, 634, 16727, 3756, 269, 634, 3756, 1141, 4371, 1169, 2185, 1296, 1063, 4864, 476, 277, 543, 5181, 476, 866, 269, 634, 9147, 16727, 10632, 729, 513, 3909, 13037, 9299, 2358, 519, 10971, 543, 538, 1880, 28736, 267, 519, 4622, 540, 782, 29331, 267, 519, 3756, 13026, 971, 606, 1271, 1747, 538, 5259, 1272, 602, 942, 729, 6027, 676, 519, 8884, 1063, 873, 267, 606, 10493, 328, 611, 269, 4586, 3080, 3017, 1063, 519, 3504, 543, 2413, 16727, 10632, 568, 602, 519, 3504, 3756, 941, 5129, 1369, 519, 2796, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 7775, 6202, 14754, 519, 4473, 540, 2698, 9107, 20816, 20250, 267, 1519, 519, 5053, 6406, 2782, 543, 519, 23237, 626, 1625, 2471, 269, 1261, 729, 513, 11180, 24180, 543, 5156, 538, 519, 3741, 540, 7862, 543, 1514, 5126, 267, 855, 646, 2968, 771, 650, 4288, 539, 609, 519, 829, 11437, 540, 891, 16431, 538, 2259, 563, 763, 1433, 5713, 607, 513, 13657, 776, 9661, 827, 519, 12178, 540, 2698, 23540, 267, 519, 6057, 540, 1379, 267, 543, 519, 11761, 540, 1367, 22624, 269, 898, 9356, 1010, 3661, 538, 519, 1761, 585, 4838, 547, 581, 1071, 19945, 1540, 676, 1582, 1606, 6326, 3401, 543, 8711, 519, 2956, 540, 28858, 538, 21108, 11180, 3741, 563, 8005, 616, 519, 3119, 3197, 540, 519, 1433, 888, 763, 3119, 3197, 540, 519, 1433, 1331, 912, 268, 6196, 11683, 281, 589, 8797, 543, 15197, 1630, 541, 945, 26182, 519, 2831, 609, 1010, 5075, 540, 513, 2486, 1863, 689, 1480, 14226, 269, 1261, 4564, 20913, 14100, 610, 32157, 22255, 514, 267, 3246, 519, 20748, 4493, 585, 519, 4838, 563, 268, 19167, 281, 589, 7137, 802, 10921, 1630, 541, 945, 694, 3278, 1379, 1310, 519, 18326, 543, 3587, 519, 9598, 31247, 6205, 540, 10960, 12426, 269, 1261, 23327, 9478, 23237, 543, 24151, 519, 13313, 543, 6057, 540, 1379, 269, 19167, 6354, 12885, 543, 7518, 1080, 519, 824, 2831, 547, 2226, 1010, 1852, 563, 268, 16176, 4252, 281, 589, 6477, 945, 7620, 8843, 1379, 609, 19167, 269, 16176, 4252, 568, 17814, 607, 606, 10995, 543, 1714, 13228, 550, 6205, 945, 23083, 4566, 585, 519, 3484, 779, 6454, 269, 1261, 4564, 15182, 570, 12783, 5652, 267, 513, 15180, 540, 23237, 269, 16176, 4252, 568, 6038, 522, 755, 539, 543, 3587, 513, 1085, 1901, 2998, 520, 585, 519, 3484, 779, 2042, 563, 268, 13340, 518, 281, 589, 10121, 543, 2182, 11529, 7504, 1634, 585, 1010, 4222, 543, 11428, 269, 13340, 518, 4564, 519, 2324, 1362, 543, 24151, 519, 605, 2280, 30353, 779, 7029, 547, 519, 4838, 269, 1261, 568, 23699, 676, 519, 14918, 543, 6038, 20729, 539, 676, 873, 563, 268, 590, 4302, 29993, 281, 589, 10388, 543, 6354, 11494, 6477, 945, 5713, 607, 19167, 779, 8783, 9070, 663, 626, 269, 590, 4302, 29993, 19082, 18259, 267, 23538, 519, 5168, 267, 543, 1175, 5809, 519, 14918, 685, 3527, 547, 519, 824, 2831, 563, 268, 18148, 281, 589, 524, 2106, 673, 543, 26617, 1810, 4486, 945, 568, 26617, 540, 519, 4838, 779, 14767, 269, 18148, 23327, 519, 30921, 543, 1346, 945, 616, 3222, 540, 519, 13313, 855, 798, 2370, 547, 5706, 621, 269, 1261, 568, 1634, 585, 1010, 6952, 874, 19189, 267, 968, 10673, 12399, 2661, 513, 1279, 942, 3034, 268, 631, 3326, 773, 281, 589, 3043, 544, 732, 945, 568, 7620, 11215, 540, 519, 4838, 855, 5555, 24301, 10960, 12426, 547, 2661, 513, 6899, 1272, 609, 3425, 269, 631, 3326, 773, 4564, 1346, 945, 616, 6822, 340, 1027, 676, 1570, 635, 325, 2176, 543, 723, 2370, 7029, 547, 519, 16431, 540, 519, 4838, 563, 4322, 3197, 267, 2059, 609, 824, 2831, 593, 519, 3484, 267, 1404, 1713, 5107, 538, 18995, 519, 6384, 540, 1379, 267, 12879, 267, 543, 20729, 531, 538, 10960, 12426, 269, 3962, 1915, 4564, 513, 1808, 2460, 540, 519, 6739, 7169, 543, 922, 21987, 267, 10223, 2107, 6202, 779, 16472, 540, 2698, 23540, 543, 519, 829, 11437, 540, 24180, 16431, 563, 1432, 568, 519, 2511, 538, 799, 10960, 12426, 568, 2854, 888, 27154, 12426, 568, 2854, 538, 513, 3551, 543, 3015, 2511, 267, 8984, 540, 6723, 2107, 6202, 779, 1568, 269, 2107, 6202, 779, 1603, 2511, 568, 1419, 4330, 607, 13801, 267, 2312, 267, 543, 796, 611, 1941, 539, 267, 26724, 9355, 543, 2500, 2792, 540, 2093, 563, 763, 1893, 538, 10960, 12426, 568, 2241, 2943, 3532, 267, 7175, 3988, 547, 4497, 609, 519, 1650, 543, 1174, 519, 5817, 4798, 543, 6835, 269, 2107, 6202, 779, 9837, 729, 547, 6655, 1010, 2093, 538, 513, 1463, 6073, 267, 1818, 519, 3209, 3015, 547, 513, 2647, 2039, 540, 3988, 563, 763, 2239, 18271, 513, 3791, 16512, 9631, 23036, 2615, 5133, 267, 3850, 519, 5467, 547, 7747, 519, 2621, 689, 606, 6662, 29459, 269, 901, 5133, 6087, 2107, 6202, 547, 1683, 4030, 883, 519, 4555, 267, 18144, 267, 543, 3527, 540, 519, 3197, 267, 5356, 513, 3102, 2070, 540, 519, 1650, 563, 763, 1433, 16621, 2609, 540, 24337, 267, 1210, 9644, 543, 20451, 547, 16472, 2797, 1949, 267, 1379, 6384, 267, 543, 519, 12879, 540, 1893, 269, 2107, 6202, 779, 30237, 673, 1935, 5713, 547, 16616, 519, 20924, 543, 3834, 4531, 529, 625, 540, 519, 3197, 543, 5238, 17814, 538, 519, 1650, 563, 1432, 568, 519, 4644, 540, 519, 1433, 888, 763, 4644, 540, 10960, 12426, 6013, 538, 922, 7096, 16472, 540, 2698, 23540, 267, 519, 6057, 540, 1379, 267, 543, 519, 20729, 531, 540, 12316, 16431, 269, 898, 5713, 607, 513, 13657, 776, 9661, 827, 519, 12178, 540, 2797, 13313, 543, 519, 11761, 540, 1367, 22624, 269, 634, 1433, 779, 11972, 10083, 666, 581, 11911, 547, 1896, 1883, 3344, 912, 268, 1325, 5586, 800, 540, 519, 6739, 7169, 281, 634, 1433, 14336, 528, 1227, 4564, 519, 2621, 543, 5515, 540, 519, 6739, 7169, 543, 519, 7766, 4473, 540, 519, 8168, 5742, 896, 9478, 23237, 269, 898, 2488, 513, 3532, 16472, 540, 23237, 1143, 543, 519, 20729, 531, 540, 519, 4838, 779, 3312, 3741, 267, 10223, 519, 12178, 540, 28974, 4341, 563, 268, 22410, 540, 11192, 23540, 281, 2107, 6202, 7710, 519, 4162, 543, 6127, 540, 2698, 9107, 20816, 267, 18995, 875, 3401, 13861, 543, 1852, 519, 13999, 998, 18259, 267, 13178, 267, 543, 519, 21109, 540, 29926, 269, 634, 1433, 29808, 1996, 519, 5834, 540, 1379, 538, 519, 3946, 540, 513, 1906, 267, 607, 621, 1419, 5012, 547, 15746, 543, 519, 2530, 540, 1367, 23118, 563, 268, 9045, 790, 543, 11635, 344, 281, 2107, 6202, 18271, 24337, 543, 20451, 547, 16616, 519, 3834, 4531, 19192, 543, 21494, 640, 540, 2797, 1949, 269, 634, 14918, 267, 945, 7620, 22299, 7862, 543, 5191, 267, 24482, 1831, 967, 626, 3907, 27720, 689, 519, 3425, 789, 2899, 10353, 267, 10223, 519, 3834, 4531, 19192, 543, 13313, 540, 1346, 538, 1379, 563, 268, 7600, 1664, 540, 31666, 7701, 543, 28294, 1637, 281, 634, 1433, 19156, 519, 1379, 540, 18259, 543, 12879, 538, 5935, 1857, 6644, 543, 4509, 1852, 269, 590, 4302, 29993, 779, 10388, 12485, 543, 519, 556, 8586, 540, 519, 18599, 16710, 906, 9414, 875, 1893, 666, 581, 1031, 547, 1253, 677, 519, 5168, 543, 17854, 26568, 3527, 563, 268, 5975, 2001, 531, 540, 21829, 8211, 1023, 281, 634, 1433, 11363, 519, 8594, 540, 26201, 1373, 1071, 19945, 1540, 676, 1582, 1606, 6326, 3401, 945, 10205, 519, 3312, 3741, 540, 7862, 267, 5126, 267, 543, 5191, 269, 2107, 6202, 8711, 519, 2956, 540, 28858, 543, 3742, 7589, 538, 7863, 543, 8497, 519, 16431, 540, 513, 1175, 2486, 563, 268, 25684, 547, 7073, 15348, 281, 634, 1433, 5170, 547, 13469, 609, 3988, 1317, 922, 4798, 543, 21855, 616, 10858, 547, 1585, 8658, 269, 898, 5713, 607, 513, 12576, 540, 519, 1761, 585, 1379, 547, 18348, 543, 519, 991, 585, 3586, 22987, 540, 2797, 1949, 267, 1256, 538, 4207, 2053, 563, 27154, 12426, 5713, 607, 513, 3532, 543, 13657, 776, 12576, 540, 519, 12178, 602, 666, 8451, 950, 1379, 4422, 31250, 563, 1432, 568, 519, 9371, 540, 10960, 12426, 2221, 888, 27154, 12426, 568, 9833, 607, 513, 5929, 960, 540, 3332, 543, 814, 1185, 513, 9434, 1764, 593, 519, 5339, 1158, 269, 4706, 12667, 3197, 267, 3532, 14336, 800, 267, 543, 2219, 4538, 4798, 723, 1500, 621, 513, 20013, 538, 3872, 21195, 5001, 563, 763, 1433, 779, 3310, 666, 581, 2938, 538, 1585, 1568, 540, 5708, 267, 8874, 267, 543, 2442, 2528, 267, 609, 2453, 971, 607, 2353, 2831, 616, 3160, 267, 855, 930, 2831, 616, 811, 3160, 982, 1866, 543, 519, 1523, 540, 606, 2107, 6202, 1014, 2486, 4742, 851, 540, 519, 2518, 20750, 6625, 563, 7775, 6202, 779, 16472, 540, 2698, 23540, 267, 519, 6057, 540, 1379, 267, 543, 519, 12879, 540, 1893, 3136, 547, 13469, 538, 4207, 2797, 543, 1514, 5717, 563, 27154, 12426, 2488, 3988, 609, 513, 7828, 998, 799, 547, 5659, 543, 1174, 519, 6384, 540, 2797, 1949, 267, 18259, 267, 543, 519, 11761, 540, 1367, 23118, 269, 4706, 10083, 11498, 3564, 519, 1808, 2796, 540, 519, 6739, 7169, 267, 1818, 621, 10858, 547, 1114, 5712, 543, 4525, 563, 763, 1433, 779, 26841, 540, 875, 26201, 666, 1821, 9876, 883, 26568, 20816, 896, 519, 1368, 1047, 540, 7862, 5713, 607, 513, 9963, 1996, 519, 12178, 540, 2278, 23540, 269, 2107, 6202, 779, 24575, 540, 519, 14918, 685, 16795, 721, 584, 335, 566, 540, 1379, 543, 20729, 531, 540, 519, 824, 2831, 8711, 519, 991, 585, 28858, 543, 3742, 7589, 538, 7863, 11180, 2418, 563, 27154, 12426, 28837, 519, 1379, 540, 24337, 547, 16616, 543, 10404, 1125, 2797, 1949, 543, 1514, 2152, 269, 2107, 6202, 779, 946, 540, 20451, 267, 9644, 267, 543, 14336, 800, 2306, 519, 1433, 1312, 2502, 543, 26374, 267, 3850, 3988, 547, 2992, 593, 519, 20924, 543, 12178, 7915, 538, 1379, 3889, 563, 763, 1433, 3788, 513, 5929, 4062, 540, 3332, 267, 6594, 538, 3506, 1472, 519, 1158, 269, 898, 5170, 547, 581, 6594, 538, 1686, 543, 2797, 2257, 6030, 547, 8774, 1769, 593, 519, 6384, 540, 4838, 267, 5718, 267, 543, 519, 4539, 540, 20748, 10593, 563, 763, 1433, 779, 11972, 8560, 543, 4797, 10083, 616, 513, 15266, 547, 922, 9434, 9371, 538, 519, 26441, 540, 3332, 267, 6214, 267, 543, 1514, 9880, 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 ]
[ 544, 19376, 1965, 10798, 543, 513, 1871, 267, 799, 29211, 538, 519, 6668, 543, 519, 13120, 540, 519, 2016, 2486, 519, 3483, 267, 543, 20244, 519, 1871, 267, 5116, 2390, 519, 1560, 729, 519, 2956, 540, 713, 6249, 6013, 538, 519, 8446, 540, 922, 6228, 543, 538, 269, 0, 1607, 1650, 4580, 1281, 711, 723, 513, 6609, 563, 257, 5591, 835, 4927, 30565, 1864, 267, 1100, 835, 22378, 333, 585, 1864, 267, 1809, 713, 1560, 1590, 9114, 538, 519, 4610, 267, 513, 6653, 14951, 1280, 1286, 337, 542, 5017, 547, 1265, 607, 789, 3406, 585, 1426, 4799, 257, 3719, 594, 786, 30565, 1864, 282, 543, 952, 594, 1590, 5884, 267, 594, 2161, 602, 713, 6760, 568, 13411, 1862, 519, 4031, 540, 519, 10971, 1611, 4986, 547, 596, 4799, 257, 7883, 3533, 281, 1863, 30466, 821, 689, 1200, 29256, 4517, 1628, 513, 19772, 585, 519, 1560, 540, 12443, 928, 1182, 4799, 257, 10190, 1352, 1590, 5884, 269, 1107, 3719, 1200, 2669, 786, 2014, 1776, 4799, 257, 8253, 1082, 2395, 267, 1656, 707, 2777, 786, 581, 2407, 540, 2367, 543, 2021, 649, 9429, 267, 1656, 1225, 4513, 786, 581, 9292, 1194, 693, 596, 689, 2484, 20079, 20494, 1324, 585, 14930, 796, 10767, 1221, 267, 2451, 547, 4232, 4799, 257, 2467, 568, 1100, 8788, 1141, 972, 568, 1100, 7326, 282, 3143, 7326, 855, 538, 19169, 547, 519, 10971, 269, 8262, 1913, 616, 2141, 27052, 267, 1656, 10583, 2367, 538, 2025, 2085, 1451, 547, 581, 8797, 4799, 257, 22117, 803, 2476, 269, 594, 723, 1044, 16420, 543, 18174, 880, 15660, 723, 7166, 1250, 5067, 543, 1250, 7385, 4799, 18439, 3776, 15080, 543, 6201, 454, 2521, 3776, 4033, 15750, 2572, 2336, 21900, 657, 585, 4147, 454, 1700, 9612, 585, 3427, 4149, 12522, 267, 11300, 12780, 16071, 630, 2005, 4634, 595, 2572, 585, 1411, 2336, 1700, 31418, 1176, 5269, 543, 9523, 4279, 6441, 8504, 11676, 7879, 454, 1700, 8073, 11426, 12502, 2044, 3203, 0, 763, 8241, 13163, 540, 10803, 630, 5723, 306, 264, 814, 5063, 5950, 519, 2817, 16971, 543, 8776, 637, 26463, 29474, 4317, 11752, 630, 2793, 4811, 3041, 306, 1040, 634, 1867, 2982, 602, 538, 476, 1220, 273, 267, 835, 10116, 540, 7087, 1004, 4080, 602, 789, 1185, 1044, 513, 6408, 540, 2168, 610, 12219, 5208, 538, 519, 3105, 476, 1321, 3275, 267, 5176, 5595, 519, 2557, 4080, 538, 476, 1960, 275, 630, 1724, 22103, 634, 8167, 540, 7087, 1004, 945, 1185, 1044, 513, 6408, 540, 2168, 610, 12219, 5208, 729, 2147, 585, 1004, 2713, 538, 6552, 543, 1875, 268, 6552, 2127, 630, 2537, 260, 3379, 609, 476, 1839, 8472, 543, 585, 2367, 543, 2021, 630, 2918, 260, 3379, 609, 476, 2537, 22103, 634, 2157, 540, 4080, 6408, 5314, 941, 2362, 1851, 1762, 1004, 267, 609, 1762, 2367, 9907, 476, 1428, 268, 2190, 1296, 2348, 519, 5207, 2157, 540, 4080, 6408, 5314, 630, 3607, 22103, 2991, 14577, 585, 2085, 3604, 1063, 519, 7087, 543, 1875, 268, 29378, 5095, 267, 16198, 689, 519, 589, 7034, 4937, 4317, 11752, 5815, 602, 7087, 1004, 9907, 476, 1240, 1296, 610, 936, 4810, 5595, 519, 6408, 5314, 2557, 540, 1875, 268, 29378, 1004, 563, 268, 8241, 13163, 540, 10803, 476, 1220, 275, 269, 2817, 16971, 543, 8776, 637, 26463, 29474, 1514, 5619, 476, 1220, 273, 267, 3032, 269, 1100, 269, 476, 26493, 271, 269, 271, 267, 589, 7034, 267, 2052, 828, 571, 0, 2467, 616, 930, 5383, 543, 11393, 585, 6475, 17209, 476, 275, 634, 5383, 616, 602, 649, 666, 1294, 606, 1843, 609, 3152, 1469, 1813, 547, 4400, 3172, 5874, 909, 547, 476, 1911, 1822, 271, 543, 1164, 20547, 1379, 909, 547, 476, 271, 269, 476, 1822, 273, 30562, 2678, 269, 476, 276, 634, 11393, 616, 602, 7041, 540, 15013, 568, 942, 10438, 2352, 543, 7199, 267, 543, 849, 666, 711, 2070, 2661, 15013, 269, 1452, 616, 519, 3364, 602, 649, 666, 1294, 5707, 6475, 5843, 2675, 2100, 543, 666, 1406, 1294, 609, 1769, 17209, 616, 7736, 32194, 681, 2045, 4918, 267, 25906, 25593, 267, 543, 700, 1170, 727, 269, 7736, 32194, 681, 2045, 4918, 568, 606, 3312, 602, 568, 3743, 585, 5137, 540, 3940, 543, 20188, 998, 519, 1560, 25906, 25593, 616, 31759, 602, 7018, 3330, 519, 1591, 799, 1772, 3743, 585, 10655, 519, 5946, 689, 519, 1591, 269, 700, 1170, 727, 616, 10408, 7103, 602, 2270, 11254, 3679, 543, 11476, 585, 8840, 1524, 519, 2898, 7178, 543, 11488, 873, 782, 856, 3135, 269, 476, 278, 5082, 1258, 5843, 2675, 2100, 814, 1454, 3152, 20547, 552, 4546, 982, 1769, 17209, 543, 666, 1205, 1454, 2362, 3172, 5874, 269, 5082, 1258, 17209, 666, 3172, 1518, 606, 1843, 1152, 909, 547, 476, 1220, 271, 2053, 269, 7327, 5082, 1258, 5843, 2675, 2100, 596, 666, 1294, 519, 12005, 769, 897, 999, 769, 2407, 1469, 6145, 10410, 6036, 616, 2356, 4988, 609, 513, 1360, 6094, 4494, 540, 4496, 8444, 547, 1118, 519, 2592, 3677, 543, 3677, 547, 581, 2111, 547, 1294, 811, 3877, 269, 476, 279, 634, 2934, 602, 616, 3769, 538, 547, 606, 6475, 17209, 616, 3957, 607, 16685, 4773, 9473, 27660, 14485, 5082, 1258, 7784, 24897, 10410, 11948, 8254, 12068, 24919, 14485, 476, 1015, 1452, 5439, 1590, 581, 5423, 1354, 519, 6475, 17209, 568, 5116, 538, 547, 519, 17209, 12511, 563, 7197, 540, 519, 6475, 17209, 3340, 513, 7463, 26519, 1813, 547, 519, 12161, 602, 666, 4386, 538, 519, 2497, 540, 519, 19494, 269, 476, 1556, 594, 993, 865, 10583, 540, 8885, 543, 1250, 2319, 5779, 602, 649, 5249, 1927, 585, 6427, 532, 713, 3730, 2029, 585, 519, 1004, 538, 519, 2486, 543, 585, 519, 6454, 540, 2348, 513, 2362, 3172, 2305, 543, 6571, 540, 606, 6475, 17209, 269, 1656, 594, 786, 2119, 547, 1118, 930, 811, 6454, 593, 519, 3172, 2305, 543, 519, 6571, 269, 0, 4467, 1584, 619, 693, 4518, 454, 1607, 23675, 693, 4518, 3992, 1544, 849, 2882, 912, 268, 15012, 547, 1569, 782, 3769, 2326, 454, 10743, 2744, 606, 1620, 540, 519, 2956, 540, 2029, 538, 1870, 543, 2263, 519, 2866, 543, 2069, 2838, 585, 2029, 7158, 1310, 789, 1382, 2816, 11673, 543, 2328, 835, 563, 277, 14358, 476, 278, 20042, 454, 268, 11242, 1299, 18768, 454, 268, 29093, 1299, 16103, 454, 268, 6997, 8249, 454, 268, 4804, 10632, 454, 268, 7689, 12697, 454, 268, 12729, 17796, 454, 268, 28826, 1299, 16574, 919, 454, 268, 12333, 26671, 454, 268, 5530, 20929, 454, 268, 5675, 8871, 14186, 454, 268, 6673, 4530, 2776, 1186, 454, 268, 7689, 14136, 15080, 454, 268, 20308, 6519, 15236, 454, 268, 2353, 12754, 9537, 454, 268, 8058, 2353, 454, 8450, 2147, 2200, 912, 20663, 10434, 2264, 2443, 20663, 5525, 454, 1432, 2186, 540, 3334, 616, 2877, 585, 513, 2780, 286, 3414, 513, 21630, 3992, 267, 2043, 1451, 827, 3670, 8800, 2780, 3334, 269, 1358, 2932, 1382, 547, 3313, 519, 2039, 540, 3681, 585, 519, 3334, 269, 4147, 2818, 1287, 2483, 280, 628, 910, 476, 1321, 628, 476, 2641, 560, 11416, 10341, 454, 20663, 2422, 281, 12708, 10341, 6744, 4289, 968, 1432, 616, 22400, 10341, 18313, 1103, 7672, 1934, 616, 1896, 13561, 3211, 543, 2407, 5528, 593, 875, 547, 946, 873, 269, 1411, 3513, 5351, 707, 2027, 2115, 15226, 998, 513, 3804, 1606, 23293, 1184, 1141, 789, 3513, 6445, 856, 519, 5619, 547, 1305, 2123, 3853, 1644, 547, 2780, 946, 543, 2483, 1015, 628, 910, 14451, 3798, 7981, 4065, 1299, 15789, 454, 22209, 7651, 2720, 1222, 281, 8950, 17214, 14168, 454, 10743, 2263, 2780, 1983, 538, 519, 1699, 2816, 2344, 676, 11264, 4976, 2238, 269, 769, 713, 2413, 2029, 3992, 267, 1053, 2697, 519, 2956, 540, 1373, 2029, 5260, 11803, 950, 621, 2501, 547, 4881, 513, 1870, 610, 25054, 2483, 277, 628, 910, 476, 1321, 628, 2296, 5678, 8551, 454, 11900, 728, 2659, 8950, 454, 4467, 1584, 619, 616, 5863, 569, 3532, 6191, 602, 649, 723, 2097, 547, 1491, 585, 11292, 269, 18786, 609, 513, 2241, 4945, 540, 519, 10856, 267, 713, 19347, 3381, 3217, 596, 593, 513, 7552, 998, 519, 6418, 25029, 540, 5904, 269, 6258, 875, 3292, 1450, 519, 2483, 275, 25008, 476, 280, 628, 910, 476, 1321, 628, 5303, 1299, 7177, 18938, 281, 24623, 0, 3080, 540, 519, 1034, 1271, 3344, 540, 2257, 568, 4180, 602, 596, 1205, 782, 519, 2694, 540, 519, 2854, 1382, 1957, 538, 519, 1318, 1931, 269, 634, 2140, 568, 519, 851, 540, 513, 1957, 602, 568, 1224, 519, 1034, 267, 543, 621, 568, 2356, 1224, 1101, 527, 568, 267, 4061, 267, 519, 1034, 1271, 3693, 602, 11225, 519, 1382, 1353, 269, 13445, 5542, 543, 2079, 519, 1382, 2243, 2497, 540, 513, 1382, 1957, 851, 1079, 281, 596, 3605, 602, 552, 30984, 568, 3656, 896, 1978, 2175, 538, 519, 269, 1215, 547, 2328, 513, 15853, 585, 513, 1382, 1957, 875, 547, 2328, 513, 15853, 585, 513, 1382, 1957, 8908, 1169, 1557, 610, 1957, 568, 1500, 909, 540, 1614, 2694, 281, 563, 288, 3811, 1382, 1957, 8308, 12191, 281, 713, 851, 2829, 543, 6941, 519, 1184, 676, 799, 1239, 267, 2164, 267, 543, 2963, 616, 6394, 269, 6153, 3656, 1603, 281, 540, 610, 6202, 621, 568, 7543, 547, 798, 1932, 1454, 1382, 585, 513, 1957, 1775, 2356, 1265, 1775, 4312, 7745, 519, 4672, 543, 666, 2253, 1603, 519, 4505, 2694, 269, 8281, 562, 331, 337, 326, 781, 5439, 3656, 1509, 657, 543, 5618, 338, 585, 1863, 3346, 3084, 3656, 1382, 1895, 547, 7662, 513, 14911, 15360, 269, 20668, 540, 513, 1382, 1957, 16643, 910, 519, 1448, 540, 3656, 1603, 568, 711, 547, 1118, 519, 2241, 7294, 855, 609, 513, 1382, 1957, 267, 707, 1957, 786, 267, 10416, 267, 2874, 540, 1614, 2694, 281, 606, 563, 8512, 338, 540, 3656, 1382, 1957, 630, 531, 10939, 3232, 3377, 3860, 1603, 16311, 264, 9443, 6574, 7242, 568, 602, 621, 1281, 660, 31391, 9186, 543, 568, 2141, 1582, 2275, 8091, 532, 1224, 269, 5675, 513, 1876, 1153, 1957, 7446, 513, 1434, 5098, 666, 581, 519, 1034, 2352, 851, 540, 1603, 513, 1434, 1957, 1616, 707, 1382, 547, 581, 3730, 543, 798, 711, 1616, 547, 269, 13088, 2866, 2326, 5359, 2930, 543, 3390, 2694, 540, 513, 3656, 1382, 1957, 1957, 6978, 7410, 8301, 543, 476, 1789, 268, 272, 268, 1001, 279, 789, 616, 4092, 538, 519, 5449, 4087, 540, 1322, 2240, 7132, 269, 11370, 325, 23176, 632, 705, 690, 15606, 562, 14243, 10722, 14162, 1299, 607, 1539, 15606, 25180, 3120, 562, 826, 11663, 540, 545, 21590, 679, 521, 27053, 2531, 22857, 522, 652, 324, 563, 4517, 4081, 3656, 1603, 1382, 476, 8660, 513, 7114, 3732, 2665, 543, 13685, 2328, 513, 11315, 8908, 540, 519, 1957, 267, 3533, 269, 6713, 540, 3656, 1382, 8242, 609, 17927, 2694, 610, 9360, 1031, 547, 581, 513, 1957, 835, 267, 855, 1034, 8021, 1810, 1406, 563, 5560, 531, 327, 748, 773, 1070, 543, 26270, 533, 4394, 1299, 561, 610, 326, 2079, 540, 1382, 538, 7082, 1557, 1603, 2694, 540, 513, 3656, 1382, 1957, 3028, 269, 5811, 538, 1382, 4574, 547, 5659, 1797, 547, 2736, 513, 1888, 610, 1523, 1524, 883, 922, 2694, 538, 1931, 547, 8524, 543, 1174, 621, 267, 543, 547, 1964, 4450, 1346, 2694, 538, 513, 1259, 602, 2306, 2631, 547, 596, 269, 1284, 2328, 3594, 267, 1382, 4574, 267, 2165, 4574, 267, 1576, 1568, 267, 8039, 267, 519, 4513, 543, 811, 799, 3788, 513, 5458, 851, 540, 1967, 538, 1603, 606, 1557, 269, 26758, 543, 3656, 4027, 540, 7214, 3959, 519, 2497, 540, 513, 1382, 1957, 13408, 1614, 4295, 2694, 9238, 540, 1382, 1957, 1603, 543, 563, 2304, 7493, 568, 513, 5618, 5758, 540, 513, 1382, 2376, 267, 5098, 267, 2689, 267, 10554, 23312, 267, 610, 1022, 538, 3829, 2079, 540, 513, 1880, 1641, 543, 568, 1419, 1031, 547, 948, 519, 5467, 3533, 23754, 519, 1957, 781, 3483, 269, 4208, 568, 713, 606, 968, 320, 892, 1957, 713, 2875, 24378, 1382, 1957, 9727, 519, 1382, 4574, 2688, 3320, 946, 3791, 729, 606, 7533, 851, 540, 602, 563, 5649, 518, 9516, 875, 547, 2328, 513, 3932, 585, 513, 1382, 1957, 2185, 2694, 281, 3732, 8753, 1603, 513, 2596, 3932, 1818, 707, 3932, 607, 2500, 607, 2009, 9319, 1455, 25354, 2146, 7117, 261, 320, 269, 1215, 547, 2328, 513, 1382, 7493, 891, 1292, 2694, 540, 519, 2376, 267, 1957, 267, 610, 1867, 281, 3483, 827, 519, 1382, 982, 827, 519, 1957, 563, 1607, 949, 581, 513, 5094, 1957, 610, 851, 540, 519, 1382, 1957, 543, 621, 568, 5921, 547, 7873, 1619, 543, 2322, 782, 707, 1292, 2093, 538, 513, 1360, 5618, 3561, 1382, 5758 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4320, 476, 280, 267, 8720, 7605, 1824, 269, 1717, 267, 968, 15987, 14134, 619, 12603, 892, 1101, 7902, 538, 519, 5988, 476, 3707, 275, 3390, 540, 8330, 15929, 3163, 6363, 2109, 269, 3367, 621, 1934, 563, 299, 6856, 1642, 1234, 344, 3884, 1406, 1134, 15422, 2221, 267, 4849, 6148, 585, 968, 13900, 523, 744, 685, 299, 1195, 892, 1776, 8773, 1650, 602, 729, 3769, 538, 634, 3163, 11470, 8065, 540, 674, 877, 11730, 2290, 12995, 676, 7917, 18234, 6199, 269, 968, 15987, 14134, 619, 12603, 892, 729, 16320, 860, 1242, 538, 1079, 1713, 16320, 3098, 827, 11608, 634, 31584, 543, 519, 2494, 12995, 676, 9410, 5682, 6199, 543, 26682, 2334, 6056, 12995, 676, 21469, 1306, 574, 990, 267, 4793, 878, 807, 590, 269, 2782, 4459, 267, 543, 9410, 670, 269, 5682, 6199, 269, 5548, 1234, 344, 779, 29412, 1650, 968, 2690, 594, 2549, 513, 808, 20454, 4658, 17373, 568, 3769, 538, 519, 476, 1015, 628, 4320, 540, 713, 3126, 267, 8720, 769, 11663, 687, 269, 594, 666, 1406, 3494, 1010, 1650, 968, 763, 4303, 568, 667, 821, 892, 7012, 1406, 3769, 538, 519, 476, 277, 628, 4320, 585, 3026, 6387, 628, 1023, 563, 2414, 2491, 1946, 594, 1767, 2093, 616, 519, 2679, 7161, 540, 2257, 5708, 267, 594, 6557, 2469, 547, 723, 547, 4766, 519, 4729, 540, 968, 15987, 14134, 619, 12603, 892, 538, 1469, 267, 4758, 782, 519, 27253, 619, 269, 634, 1650, 568, 3769, 538, 519, 4320, 585, 11608, 855, 621, 1223, 723, 1044, 3769, 538, 1082, 1114, 6249, 16320, 3098, 563, 2108, 15987, 14134, 619, 12603, 892, 5956, 609, 513, 812, 3957, 808, 528, 2102, 1036, 8724, 9637, 269, 1284, 2461, 2016, 930, 1394, 32143, 538, 519, 2239, 269, 18972, 723, 1044, 530, 21317, 856, 676, 513, 20575, 593, 3047, 267, 3976, 649, 723, 1312, 513, 5403, 5025, 335, 5914, 2988, 572, 543, 513, 7831, 2494, 1650, 543, 6148, 1256, 513, 667, 3539, 3047, 1650, 269, 634, 667, 3539, 3047, 6249, 2356, 3238, 519, 2484, 2104, 950, 3047, 568, 827, 547, 581, 10032, 269, 6884, 667, 3539, 3047, 1797, 519, 4541, 568, 12955, 267, 543, 824, 2053, 621, 5267, 519, 1480, 5198, 568, 12955, 269, 9320, 649, 1058, 1175, 1289, 621, 7736, 540, 5274, 640, 873, 539, 563, 297, 528, 2102, 568, 24971, 909, 689, 12246, 335, 2105, 1323, 11582, 610, 12019, 12619, 267, 1776, 7708, 701, 540, 2257, 5708, 269, 769, 713, 476, 3707, 275, 1650, 267, 1642, 1234, 344, 814, 3955, 560, 15362, 13488, 3908, 547, 519, 3432, 540, 1769, 269, 6969, 519, 20575, 1185, 5176, 530, 21317, 856, 8103, 267, 3425, 1185, 6836, 547, 16690, 1125, 9370, 267, 855, 519, 20575, 1185, 1336, 922, 1259, 972, 1932, 269, 1924, 513, 1007, 1374, 540, 5624, 1222, 729, 3710, 547, 581, 513, 6611, 18206, 547, 979, 547, 519, 6801, 269, 634, 3425, 941, 2322, 547, 3207, 1282, 519, 1279, 22116, 540, 3955, 560, 15362, 16709, 799, 16768, 476, 3445, 1296, 269, 634, 6928, 729, 812, 2740, 676, 10164, 550, 7605, 1824, 945, 1282, 519, 22116, 2919, 14464, 32322, 543, 2552, 9776, 3955, 807, 563, 5475, 808, 528, 2102, 568, 2847, 1882, 646, 568, 5143, 602, 782, 519, 824, 21152, 20829, 519, 6928, 1185, 5747, 540, 519, 20575, 543, 646, 729, 519, 1152, 835, 4761, 269, 808, 528, 2102, 1568, 609, 2947, 11608, 602, 616, 3957, 2290, 267, 5565, 267, 8422, 267, 9050, 267, 543, 12866, 269, 1358, 723, 1336, 513, 1715, 3047, 269, 898, 5828, 856, 547, 581, 513, 27032, 267, 1454, 899, 3047, 267, 855, 609, 1100, 10995, 1272, 269, 808, 528, 2102, 23119, 689, 606, 1401, 626, 1113, 2677, 335, 1515, 538, 6611, 540, 1373, 519, 7831, 540, 3776, 15661, 269, 31584, 12866, 6257, 547, 808, 528, 2102, 875, 646, 16545, 519, 1007, 1158, 4742, 952, 3425, 1185, 15068, 269, 901, 568, 950, 808, 528, 2102, 30877, 602, 7605, 1824, 616, 3160, 547, 18972, 267, 543, 7605, 1824, 616, 938, 2677, 25728, 1218, 543, 602, 646, 12582, 1406, 21817, 563, 297, 528, 2102, 6645, 519, 11608, 789, 1058, 1628, 513, 31584, 31511, 855, 8773, 12866, 3081, 11608, 1223, 2760, 581, 6126, 1510, 3425, 269, 901, 554, 1046, 839, 1394, 547, 1849, 858, 867, 3244, 752, 267, 602, 7605, 1824, 616, 938, 18321, 995, 12660, 687, 269, 808, 528, 2102, 9753, 519, 11608, 547, 9114, 1524, 543, 547, 15350, 654, 6559, 3388, 789, 917, 827, 3425, 269, 808, 528, 2102, 3762, 538, 519, 5624, 1222, 269, 6969, 646, 4422, 646, 16976, 547, 4734, 513, 5373, 540, 519, 9891, 1062, 15691, 519, 11608, 1131, 835, 1554, 1265, 519, 22731, 5851, 540, 5274, 640, 563, 2108, 15987, 14134, 619, 12603, 892, 568, 22350, 2366, 14939, 543, 19020, 569, 5143, 267, 621, 1281, 1683, 513, 1390, 4308, 540, 4898, 269, 594, 2503, 1394, 538, 476, 3707, 275, 922, 2093, 2813, 3833, 606, 1764, 269, 1656, 952, 596, 1224, 519, 1650, 5702, 267, 596, 1223, 1265, 1082, 811, 2257, 1922, 12302, 2093, 602, 723, 1831, 804, 7865, 936, 519, 1296, 269, 634, 1650, 3884, 1406, 10565, 269, 898, 779, 1175, 606, 11200, 532, 540, 954, 24286, 2035, 269, 901, 729, 1455, 1394, 538, 519, 2038, 2395, 540, 2257, 5708, 563, 2026, 2257, 5708, 7960, 267, 5830, 1185, 547, 15827, 2257, 27395, 2093, 883, 10565, 10207, 543, 6946, 13602, 269, 2334, 729, 1946, 7917, 589, 269, 26081, 548, 514, 1500, 971, 606, 1764, 950, 646, 3459, 13629, 538, 476, 4350, 280, 269, 700, 6856, 1642, 1234, 344, 6913, 713, 538, 1010, 3209, 5055, 968, 301, 12883, 2223, 799, 729, 2663, 9450, 883, 513, 3209, 269, 1717, 267, 602, 1650, 814, 1831, 18584, 1317, 540, 938, 1702, 540, 10570, 1648, 563, 3086, 602, 594, 6557, 2542, 782, 891, 2025, 2257, 27395, 16320, 3098, 594, 6557, 711, 6005, 875, 2257, 1922, 12302, 2093, 941, 1031, 547, 4020, 2257, 1922, 12302, 2984, 269, 3163, 5708, 602, 5916, 2093, 543, 1434, 9423, 2553, 4769, 1406, 2731, 10836, 2394, 519, 476, 4198, 271, 338, 269, 589, 1390, 1383, 568, 968, 293, 1180, 569, 18278, 892, 676, 21238, 645, 6856, 610, 968, 763, 9855, 631, 1054, 892, 676, 10793, 966, 766, 950, 519, 3197, 543, 9423, 2968, 1259, 811, 1271, 982, 519, 24700, 2856, 563, 10214, 2221, 267, 2257, 5708, 1419, 7959, 899, 513, 5856, 3357, 909, 609, 606, 2856, 543, 1287, 11827, 3197, 543, 513, 4729, 547, 13686, 519, 2856, 269, 1284, 2760, 1745, 808, 528, 2102, 568, 513, 1483, 1268, 269, 589, 4831, 7721, 2217, 568, 24898, 23583, 689, 968, 23044, 619, 585, 13641, 1716, 517, 1848, 2334, 1650, 814, 1896, 2257, 1922, 12302, 2093, 538, 621, 267, 855, 1018, 649, 3314, 568, 24898, 543, 1018, 646, 5433, 269, 700, 6856, 1642, 1234, 344, 6645, 721, 1018, 808, 528, 2102, 5433, 267, 855, 649, 2760, 1995, 1010, 4664, 607, 649, 798, 609, 24898, 23583, 269, 1717, 267, 594, 2219, 519, 8574, 4098, 609, 968, 17954, 752, 9724, 2482, 22290, 1864, 2507, 892, 729, 3833, 1434, 585, 1642, 1234, 344, 693, 519, 942, 563, 296, 4898, 875, 513, 2413, 5856, 1131, 2328, 713, 1482, 1650, 2221, 286, 1548, 952, 621, 729, 1175, 835, 6429, 267, 519, 851, 532, 6429, 267, 543, 621, 1185, 519, 10565, 1764, 540, 519, 968, 307, 8986, 538, 519, 14175, 892, 6429, 689, 2349, 1228, 14840, 1676, 286, 2060, 865, 1906, 1913, 649, 1745, 7184, 585, 20858, 15506, 1399, 269, 1656, 649, 3314, 602, 4743, 585, 519, 1964, 540, 938, 2729, 269, 16393, 2576, 1118, 721, 1745, 585, 808, 528, 2102, 607, 649, 798, 585, 24898, 23583, 888, 9617, 1589, 540, 782, 519, 2093, 594, 786, 1265, 538, 891, 16320, 3098, 267, 855, 875, 1082, 540, 519, 2984, 786, 723, 10427, 9423, 543, 2620, 3929, 1764, 286, 594, 3580, 1294, 543, 1577, 596, 917, 563, 22832, 28615, 20831, 267, 476, 273, 270, 1015, 270, 2537, 454, 274, 4555, 593, 968, 2108, 15987, 14134, 619, 12603, 892, 676, 700, 6856, 1642, 1234, 344, 7536, 6624, 7064, 585, 713, 4062, 267, 13343, 256, 594, 899, 891, 1585, 1306, 574, 990, 270, 16675, 6199, 270, 310, 2795, 16320, 3098, 267, 543, 723, 1044, 7444, 2324, 1250, 1259, 998, 873, 269, 1306, 574, 990, 1705, 824, 16320, 3098, 609, 824, 1071, 24737, 6002, 267, 971, 607, 835, 11331, 476, 2004, 10374, 3163, 11470, 24079, 630, 534, 16320, 1108, 540, 2110, 6879, 2176, 1070, 609, 23108, 742, 1230, 330, 4802, 563, 296, 10093, 1406, 2943, 1224, 968, 15987, 14134, 619, 12603, 2223, 855, 594, 723, 513, 4015, 593, 1688, 609, 713, 1650, 1700, 763, 7216, 5548, 1234, 344, 267, 11730, 476, 273, 1700, 810, 6148, 594, 3580, 1205, 547, 621, 4166, 269, 0, 8072, 297, 525, 3726, 19843, 8730, 610, 2048, 297, 525, 340, 545, 612, 525, 685, 286, 24686, 1105, 531, 5980, 1996, 519, 6356, 4369, 540, 519, 2296, 28247, 625, 563, 8072, 297, 525, 3726, 19843, 8730, 610, 2048, 297, 525, 340, 545, 612, 525, 685, 888, 15031, 686, 1105, 531, 5980, 1996, 519, 6356, 4369, 540, 519, 2296, 28247, 625, 563, 268, 634, 2262, 2048, 297, 525, 340, 545, 612, 525, 685, 568, 513, 1404, 593, 1913, 649, 11827, 267, 11544, 2048, 297, 525, 3726, 685, 543, 2048, 306, 15471, 263, 525, 264, 20371, 7246, 1053, 7629, 7431, 595, 23565, 601, 543, 700, 2946, 320, 7763, 27599, 267, 689, 938, 8836, 5525, 27587, 23422, 693, 589, 1460, 5336, 12838, 4068, 2160, 267, 5206, 713, 5816, 2022, 593, 6307, 24156, 779, 960, 543, 4938, 566, 563, 763, 12081, 540, 10348, 10906, 594, 568, 24190, 609, 519, 3909, 11685, 1063, 17557, 1143, 543, 30871, 1369, 4789, 267, 1141, 519, 7826, 20655, 729, 782, 519, 811, 3746, 2213, 676, 4031, 971, 607, 519, 2920, 540, 10016, 8145, 2329, 267, 610, 519, 2920, 540, 31538, 640, 267, 543, 24458, 676, 519, 17557, 8128, 269, 1809, 1256, 952, 30871, 729, 19275, 538, 4789, 267, 621, 1705, 711, 2061, 519, 1034, 535, 969, 550, 21071, 689, 22745, 519, 2296, 17030, 538, 476, 15647, 271, 267, 4171, 1292, 3483, 729, 547, 3142, 1394, 519, 7826, 5132, 547, 4789, 267, 1256, 952, 621, 5921, 547, 8399, 5906, 569, 896, 16225, 269, 17652, 2614, 267, 7826, 2021, 4956, 547, 6443, 519, 2296, 17030, 267, 610, 693, 2547, 547, 948, 543, 3895, 621, 607, 1454, 607, 789, 1223, 563, 17798, 267, 6307, 24156, 267, 1310, 513, 3126, 540, 10143, 22649, 267, 8547, 1200, 4659, 538, 476, 14065, 272, 267, 1141, 519, 2296, 28247, 625, 1131, 5531, 543, 957, 607, 519, 4775, 11218, 540, 519, 20908, 7057, 269, 1809, 267, 538, 519, 476, 1626, 628, 2540, 267, 519, 1249, 602, 1022, 4807, 1058, 723, 971, 7115, 267, 6659, 11685, 543, 13253, 267, 5103, 519, 7145, 540, 519, 2296, 28247, 625, 563, 763, 2296, 17030, 267, 610, 2048, 300, 2153, 6764, 6372, 685, 538, 17557, 4789, 563, 2691, 519, 17557, 2229, 8057, 3222, 540, 519, 2132, 540, 519, 28773, 538, 4789, 689, 476, 14991, 275, 267, 519, 6755, 531, 16572, 941, 5293, 547, 1491, 3800, 1996, 519, 2296, 17030, 269, 1452, 4031, 5497, 547, 1118, 30871, 10363, 267, 543, 621, 5795, 1797, 547, 519, 10906, 534, 1062, 547, 19439, 1022, 17308, 945, 1131, 2119, 547, 6460, 2296, 1004, 563, 10303, 519, 17557, 8128, 3366, 986, 1749, 547, 21048, 559, 1022, 7826, 2534, 267, 519, 28773, 5030, 538, 3348, 13895, 2175, 267, 543, 789, 1185, 547, 12404, 950, 1316, 2358, 519, 7826, 5132, 538, 519, 5321, 540, 519, 13794, 269, 4595, 519, 4098, 540, 519, 2296, 17030, 267, 519, 7826, 2021, 941, 849, 3238, 538, 973, 639, 3599, 267, 607, 789, 1131, 1683, 1071, 3200, 675, 547, 741, 17055, 20577, 267, 15029, 6967, 538, 519, 20224, 563, 21953, 267, 950, 519, 2296, 28247, 625, 3459, 9117, 607, 519, 4775, 13413, 540, 519, 20908, 7057, 267, 621, 8604, 602, 789, 6785, 875, 547, 946, 519, 575, 25311, 3613, 699, 8040, 540, 30013, 2486, 547, 741, 5413, 267, 543, 547, 3262, 30871, 693, 2547, 607, 6707, 607, 519, 20908, 7057, 269, 11569, 267, 950, 6307, 24156, 1185, 1200, 10143, 22649, 3056, 547, 519, 5748, 540, 519, 4659, 267, 1352, 4607, 519, 5048, 547, 2048, 339, 820, 519, 23893, 540, 519, 5980, 8730, 799, 5921, 547, 3490, 621, 593, 519, 2203, 540, 519, 5980, 540, 4906, 267, 1175, 607, 22695, 520, 3780, 700, 1195, 7637, 1185, 17695, 2213, 269, 634, 2856, 729, 602, 519, 2296, 28247, 625, 1131, 1404, 519, 1482, 1909, 607, 519, 20908, 7057, 538, 519, 2296, 17030, 267, 855, 585, 2021, 543, 6690, 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, 290, 617, 1410, 476, 1724, 910, 2423, 2195, 2895, 24191, 20375, 3717, 454, 12812, 28313, 547, 2070, 543, 9419, 2903, 938, 1292, 1232, 617, 902, 538, 7300, 3898, 563, 4462, 1652, 6382, 8612, 782, 27589, 543, 3029, 3769, 593, 713, 3896, 616, 519, 3959, 540, 9736, 476, 1001, 277, 9147, 13070, 12629, 2593, 2353, 7126, 27616, 563, 4462, 2246, 615, 2213, 1502, 525, 542, 543, 946, 267, 12093, 610, 3892, 540, 922, 1570, 610, 922, 28106, 9115, 568, 19275, 269, 28791, 9736, 476, 1001, 277, 9147, 13070, 12629, 814, 11292, 1991, 2854, 9844, 563, 15648, 1382, 540, 808, 291, 11518, 9445, 454, 347, 16829, 676, 808, 6185, 269, 11518, 9445, 593, 5181, 476, 273, 267, 476, 1001, 279, 693, 476, 1321, 281, 1789, 7537, 2008, 1103, 1769, 540, 10609, 2378, 516, 781, 18158, 267, 621, 568, 16094, 15763, 538, 21533, 1369, 519, 14692, 540, 519, 4279, 30958, 563, 4913, 538, 519, 6264, 1544, 547, 519, 717, 21289, 11768, 907, 16838, 9093, 6390, 675, 3877, 713, 13798, 1410, 267, 607, 1281, 519, 3003, 3135, 13807, 534, 563, 5445, 782, 2491, 1945, 538, 1931, 547, 1174, 519, 2347, 5048, 563, 3086, 10609, 2378, 516, 781, 3312, 4463, 2016, 538, 5450, 878, 849, 814, 606, 1840, 1871, 540, 476, 1724, 282, 609, 513, 4463, 540, 476, 16960, 269, 276, 7397, 269, 1496, 272, 266, 275, 266, 274, 266, 276, 284, 476, 1724, 316, 18679, 763, 12476, 540, 10609, 2378, 516, 538, 7397, 11224, 476, 21497, 269, 2764, 829, 2427, 1496, 21497, 269, 2764, 1535, 275, 815, 476, 279, 8618, 269, 1321, 7132, 4463, 476, 16960, 269, 276, 284, 476, 272, 267, 21916, 269, 7830, 316, 476, 272, 267, 21916, 269, 7830, 3773, 909, 568, 476, 272, 266, 275, 266, 277, 266, 273, 284, 476, 1724, 454, 294, 21289, 781, 1647, 18158, 10609, 2378, 516, 267, 849, 1634, 607, 4258, 874, 1066, 814, 513, 3490, 540, 1142, 2427, 1226, 16226, 476, 3583, 277, 3952, 269, 1496, 278, 266, 277, 284, 1724, 2639, 2005, 568, 4092, 693, 513, 3845, 540, 476, 11260, 7397, 1496, 272, 266, 278, 266, 276, 284, 1724, 348, 1985, 547, 519, 4279, 30958, 563, 1607, 4099, 18158, 781, 2427, 1606, 331, 2100, 5086, 849, 3947, 721, 713, 1469, 609, 922, 5086, 693, 476, 7871, 269, 1724, 26440, 4181, 563, 2005, 781, 3312, 4463, 540, 476, 5325, 272, 3952, 19132, 607, 476, 28638, 10699, 1080, 3248, 10472, 11224, 476, 1724, 15875, 689, 7750, 1080, 4946, 476, 273, 266, 278, 266, 275, 284, 26467, 1410, 476, 1724, 563, 763, 590, 2117, 20652, 849, 9727, 538, 1585, 25948, 2418, 22589, 3169, 10609, 2378, 8145, 566, 547, 519, 3504, 16786, 781, 540, 8193, 519, 11599, 1297, 540, 476, 1724, 607, 7229, 676, 14787, 27205, 4469, 785, 619, 8891, 4471, 267, 609, 606, 9018, 3259, 540, 476, 9818, 269, 6924, 6279, 269, 634, 6418, 3259, 568, 476, 10019, 269, 10463, 24263, 909, 547, 476, 5952, 799, 476, 279, 266, 276, 284, 1724, 563, 763, 3544, 476, 9818, 269, 6924, 6279, 19132, 538, 3952, 607, 476, 279, 269, 5038, 1247, 519, 3330, 476, 10019, 269, 10463, 19132, 607, 476, 278, 269, 271, 2568, 5400, 274, 3451, 538, 3952, 563, 763, 1079, 2338, 3773, 1927, 912, 28785, 950, 3773, 1927, 11224, 476, 1724, 1496, 272, 266, 276, 266, 278, 284, 476, 1724, 2639, 298, 327, 2378, 516, 781, 18158, 3710, 2390, 606, 26749, 267, 18795, 2390, 513, 476, 3451, 3723, 19516, 531, 3248, 1492, 1297, 476, 3451, 568, 513, 1412, 1873, 532, 262, 1297, 593, 9511, 781, 5019, 847, 528, 609, 513, 1360, 1271, 4644, 547, 717, 21289, 781, 10609, 2378, 516, 19516, 531, 18158, 13031, 606, 1412, 2117, 2173, 10056, 262, 602, 5360, 625, 609, 3047, 781, 1184, 1308, 7852, 28550, 563, 1103, 519, 1744, 20760, 540, 4279, 1145, 3248, 12506, 543, 4099, 513, 5048, 2854, 538, 6149, 547, 938, 18472, 2676, 11004, 568, 1769, 539, 10609, 2378, 8145, 566, 2016, 547, 938, 9835, 6827, 832, 26467, 1410, 476, 1724, 563, 290, 641, 787, 2431, 1382, 540, 808, 291, 808, 1030, 9445, 476, 1001, 279, 9625, 26467, 1410, 476, 1724, 454, 347, 16829, 676, 808, 6185, 269, 11518, 9445, 593, 4728, 476, 2767, 267, 476, 1001, 279, 693, 476, 272, 281, 2412, 6751, 2008, 307, 879, 540, 30622, 539, 1030, 516, 781, 26467, 1410, 454, 10907, 1484, 519, 1163, 534, 572, 540, 938, 1390, 8608, 267, 649, 1265, 1585, 1114, 20375, 538, 13470, 10537, 1106, 563, 19770, 3091, 519, 2185, 521, 3660, 21083, 1412, 307, 25523, 28353, 262, 18158, 563, 23338, 3013, 3091, 519, 2098, 24513, 584, 520, 1900, 1790, 344, 1090, 573, 563, 5715, 2158, 807, 6799, 519, 5153, 8862, 749, 18158, 563, 2691, 621, 2501, 547, 717, 21289, 267, 519, 2244, 540, 519, 16618, 267, 649, 1265, 782, 1614, 540, 891, 6093, 1826, 26829, 563, 2171, 1265, 15223, 336, 541, 571, 781, 30622, 29141, 18158, 1196, 1881, 607, 513, 2098, 24513, 584, 520, 18158, 563, 292, 697, 5195, 547, 519, 5087, 649, 12398, 519, 570, 25523, 28353, 26829, 562, 1144, 607, 4258, 3591, 267, 10609, 2378, 516, 543, 9093, 6390, 675, 563, 26668, 5195, 2417, 547, 519, 5087, 267, 649, 1265, 13883, 593, 1283, 540, 513, 14629, 267, 519, 18158, 1634, 607, 30622, 539, 1030, 516, 269, 9741, 568, 1634, 538, 14621, 547, 713, 1631, 1232, 13846, 13470, 10537, 2497, 563, 7437, 519, 4064, 540, 9147, 3397, 12629, 781, 595, 10485, 3778, 267, 1739, 519, 10881, 540, 938, 9835, 6827, 832, 907, 933, 2709, 513, 1114, 2070, 10756, 1607, 18158, 781, 2895, 24191, 2140, 729, 2016, 607, 910, 834, 291, 329, 539, 1030, 516, 781, 10060, 787, 21708, 8487, 27745, 713, 581, 519, 1101, 23319, 907, 888, 257, 291, 329, 539, 1030, 516, 781, 18158, 729, 4056, 12147, 1114, 689, 1346, 540, 1010, 7525, 21530, 25600, 538, 602, 519, 20830, 941, 9944, 519, 18158, 3079, 540, 3330, 269, 634, 18158, 729, 3710, 936, 513, 2067, 544, 895, 543, 519, 20830, 941, 2813, 1210, 519, 1412, 335, 527, 543, 19856, 262, 1505, 267, 5892, 1031, 593, 930, 15958, 19487, 9723, 2125, 563, 291, 329, 539, 1030, 516, 25653, 513, 8486, 476, 2641, 332, 1535, 476, 280, 332, 543, 476, 736, 332, 2620, 538, 519, 2067, 544, 895, 269, 589, 19856, 729, 2813, 693, 606, 5086, 540, 476, 2420, 23263, 3374, 262, 543, 519, 20830, 543, 1569, 8574, 941, 3710, 1369, 519, 8486, 543, 593, 519, 19856, 563, 5629, 519, 1412, 27903, 20830, 262, 941, 8737, 267, 519, 8486, 543, 19856, 941, 4904, 538, 543, 519, 18158, 3710, 936, 519, 1283, 269, 901, 4847, 519, 20830, 547, 581, 1500, 1510, 15993, 532, 267, 543, 14284, 519, 7293, 8374, 540, 1818, 20830, 1369, 519, 1560, 540, 519, 18158, 3294, 269, 1261, 849, 26871, 1540, 547, 606, 4505, 2511, 540, 4070, 676, 2870, 513, 14328, 26456, 3774, 20218, 5087, 1606, 1926, 267, 2147, 547, 1346, 540, 30622, 29141, 543, 1530, 330, 1335, 330, 2867, 4799, 1607, 2189, 2497, 540, 30622, 539, 1030, 516, 267, 849, 1634, 607, 519, 18158, 540, 2098, 1177, 344, 564, 4432, 5025, 32569, 267, 1223, 1360, 1134, 723, 1044, 3710, 607, 606, 769, 30062, 9891, 25076, 563, 291, 329, 539, 1030, 516, 781, 11454, 693, 26512, 21984, 1662, 1281, 711, 2408, 547, 723, 1044, 9112, 607, 513, 2407, 18158, 269, 8786, 621, 1185, 6821, 267, 855, 621, 7012, 1405, 20583, 607, 519, 2757, 18158, 1336, 693, 717, 21289, 269, 3245, 4974, 26829, 1158, 2647, 267, 6616, 519, 10060, 787, 4149, 5652, 18158, 729, 9112, 543, 3710, 476, 6110, 3952, 1412, 629, 913, 262, 519, 29415, 267, 7132, 621, 781, 10066, 267, 4020, 519, 4756, 10881, 6035, 602, 621, 729, 606, 18532, 1412, 13449, 25101, 2616, 2218, 262, 799, 2636, 6801, 547, 581, 2938, 1282, 519, 1412, 1485, 942, 262, 538, 25545, 2916, 10851, 563, 5978, 3504, 12206, 17941, 30622, 539, 1030, 516, 781, 18158, 609, 519, 25084, 2048, 295, 24250, 8730, 607, 621, 568, 13883, 607, 717, 21289, 781, 5207, 7510, 571, 2389, 655, 921, 563, 1103, 3504, 5527, 267, 606, 31485, 2899, 4280, 606, 4056, 912, 28490, 596, 941, 606, 31485, 267, 875, 1131, 596, 1376, 2679, 606, 24666, 2616, 2218, 267, 799, 1131, 581, 9985, 538, 1899, 609, 513, 5789, 22941, 5858, 267, 689, 799, 835, 1223, 7747, 543, 4001, 1762, 1004, 875, 547, 3313, 519, 18302, 540, 782, 540, 519, 6801, 538, 519, 30723, 18313, 1103, 519, 27450, 16684, 532, 540, 10732, 267, 5130, 476, 1839, 267, 476, 1220, 275, 267, 10370, 526, 517, 5487, 305, 537, 3832, 12943, 602, 2243, 676, 6031, 281, 968, 2791, 8910, 1628, 513, 2620, 8486, 267, 513, 2620, 1134, 267, 543, 952, 519, 1134, 568, 7522, 569, 6378, 267, 596, 666, 2965, 1294, 6801, 1282, 519, 24817, 267, 543, 3226, 538, 2127, 799, 616, 9425, 25545, 269, 1656, 602, 779, 950, 513, 2603, 540, 17651, 729, 2944, 269, 1358, 1185, 519, 30148, 6607, 267, 799, 789, 941, 2111, 547, 5619, 713, 1259, 267, 543, 849, 519, 24817, 6607, 269, 7763, 687, 540, 519, 10785, 543, 865, 8521, 267, 789, 1223, 1294, 267, 538, 519, 546, 23677, 3034, 10521, 1919, 941, 5612, 6508, 689, 713, 1101, 8343, 8574, 269, 2290, 568, 602, 519, 1482, 2235, 2794, 6897, 6801, 1131, 2097, 2066, 519, 5789, 22941, 693, 2834, 11996, 540, 942, 543, 1131, 2721, 1507, 10580, 1472, 519, 22966, 17155, 3345, 24504, 269, 19627, 267, 713, 15868, 519, 20626, 547, 4786, 519, 5730, 12557, 540, 6801, 693, 741, 5580, 610, 2539, 7583, 332, 1588, 267, 799, 1223, 581, 7229, 676, 1579, 10043, 323, 6652, 630, 4248, 23234, 1916, 13295, 729, 3964, 267, 538, 5527, 267, 519, 5730, 1353, 540, 16287, 2834, 16070, 13350, 640, 540, 519, 31676, 4703, 267, 543, 519, 7648, 538, 13350, 640, 585, 3476, 5712, 540, 942, 269, 634, 1152, 1259, 547, 3715, 971, 513, 8471, 8990, 729, 547, 723, 1079, 6378, 2798, 1472, 799, 3388, 3116, 6410, 281, 835, 593, 3618, 267, 543, 835, 538, 519, 30723, 269, 4495, 891, 1079, 2798, 941, 6378, 538, 6149, 267, 519, 2679, 540, 519, 18158, 1223, 2253, 4799, 2414, 4368, 513, 4087, 540, 717, 21289, 267, 30622, 539, 1030, 516, 781, 30141, 18158, 729, 2374, 331, 2213, 476, 6110, 3952, 1657, 519, 9390, 29415, 4758, 4287, 547, 1412, 1467, 540, 8289, 262, 18330, 7551, 7587, 5024, 519, 3152, 8566, 21289, 2666, 1544, 2482, 13050, 563, 2005, 1058, 581, 3964, 476, 1724, 9397, 1524, 607, 476, 272, 266, 274, 284, 275, 8159, 30622, 539, 1030, 516, 781, 6074, 4087, 15202, 519, 476, 6110, 3723, 7823, 3490, 4463, 269, 634, 3573, 1412, 322, 1021, 3118, 262, 6027, 693, 476, 272, 267, 3583, 276, 15432, 3947, 519, 5311, 538, 2338, 540, 476, 272, 266, 278, 266, 276, 284, 1724, 269, 1452, 2338, 4805, 13182, 621, 568, 851, 540, 938, 9835, 6827, 832, 26467, 1410, 476, 1724, 5048, 267, 2705, 609, 3773, 642, 785, 1709, 267, 972, 616, 849, 1079, 4130, 11105, 1412, 335, 527, 262, 4230, 25233, 10473, 1138, 559, 3511, 547, 30622, 539, 1030, 516, 4010, 476, 9873, 271, 15432, 6306, 563, 9873, 271, 15432, 689, 30622, 539, 1030, 516, 568, 519, 1101, 17651, 3613, 566, 267, 543, 1776, 476, 9873, 271, 15432, 689, 519, 1101, 6728, 29084, 519, 2034, 6728, 24223, 519, 2063, 6728, 540, 519, 2119, 696, 747, 2616, 2218, 11768, 563, 263, 1607, 3381, 689, 476, 736, 547, 476, 2641, 3764, 13462, 519, 476, 274, 6753, 1519, 30622, 539, 1030, 516, 693, 476, 9873, 271, 15432, 1142, 264, 4179, 2517, 344, 719, 340, 269, 2041, 270, 318, 325, 309, 341, 301, 275, 318, 292, 329, 311, 271, 454, 1103, 803, 6549, 603, 545, 1106, 267, 938, 9835, 6827, 832, 27485, 741, 5048, 540, 519, 10060, 787, 910, 306, 5652, 267, 519, 5020, 10414, 538, 799, 649, 782, 4866, 267, 689, 950, 576, 649, 3357, 10371, 718, 4927, 2132, 563, 2026, 1127, 547, 607, 1127, 267, 5182, 787, 1606, 5652, 10060, 706, 560, 563, 5804, 938, 606, 857, 757, 267, 649, 941, 1655, 15735, 519, 3090, 540, 519, 570, 879, 267, 799, 666, 849, 581, 1336, 519, 1158, 936, 543, 711, 9138, 4481, 547, 5527, 563, 291, 329, 539, 1030, 516, 781, 18158, 568, 9112, 538, 519, 3337, 540, 713, 5020, 3766, 1516, 10414, 267, 547, 7618, 721, 540, 519, 570, 879, 8343, 476, 3248, 16908, 666, 581, 1336, 1369, 21765, 3108, 607, 1134, 607, 519, 3781, 1769, 539, 2070, 547, 945, 649, 616, 269, 1284, 616, 607, 1082, 607, 519, 6801, 267, 543, 649 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 581, 23012, 269, 2334, 32131, 899, 513, 1279, 543, 32462, 11049, 8400, 1256, 609, 1265, 22812, 2897, 269, 634, 2656, 2626, 547, 602, 729, 513, 476, 277, 1899, 630, 20360, 3298, 22553, 264, 595, 258, 1982, 547, 8850, 12575, 1257, 2250, 539, 689, 966, 306, 8943, 883, 513, 3818, 11060, 1257, 7901, 267, 11093, 519, 1267, 538, 1776, 1257, 4216, 4712, 547, 581, 5299, 2250, 539, 547, 519, 20798, 9517, 292, 269, 6271, 1907, 1631, 9361, 538, 1250, 1907, 7901, 780, 763, 1657, 3239, 2982, 1250, 3803, 1267, 3842, 519, 1357, 11422, 8818, 269, 8786, 267, 936, 476, 2568, 8536, 8320, 540, 519, 14181, 18602, 1362, 941, 2877, 547, 4194, 713, 11015, 4352, 1034, 616, 513, 2603, 1447, 3454, 532, 269, 589, 811, 6093, 1267, 1131, 723, 2938, 519, 11015, 12193, 538, 513, 7008, 540, 20870, 338, 540, 513, 2034, 780, 763, 4528, 1210, 519, 5395, 658, 18554, 630, 5408, 2630, 264, 814, 513, 12863, 855, 11807, 6881, 4352, 4259, 513, 1007, 11015, 1522, 6961, 513, 512, 611, 804, 636, 1910, 269, 630, 2005, 1281, 723, 513, 2603, 540, 13410, 3710, 538, 4712, 547, 1404, 609, 6393, 1432, 1705, 594, 4734, 856, 540, 519, 1357, 11422, 4528, 286, 594, 1223, 723, 3773, 10084, 29441, 3009, 547, 2327, 602, 519, 3593, 1152, 9411, 25948, 2418, 1063, 476, 272, 543, 476, 280, 855, 594, 4990, 540, 18808, 609, 602, 3390, 676, 8156, 782, 1591, 2418, 602, 941, 711, 4570, 9704, 607, 513, 10145, 1591, 269, 594, 1223, 849, 723, 7318, 602, 519, 11015, 1185, 513, 5934, 540, 476, 1704, 4570, 2281, 1210, 693, 2547, 476, 279, 540, 519, 2418, 476, 272, 547, 476, 280, 269, 2311, 519, 1439, 540, 519, 1554, 1498, 267, 713, 729, 606, 20798, 1788, 547, 2263, 519, 946, 540, 513, 4604, 3246, 513, 1357, 3028, 1247, 849, 19278, 803, 563, 2791, 1522, 1134, 1589, 602, 713, 2370, 1788, 3893, 513, 3787, 856, 540, 1688, 269, 4635, 9786, 779, 10439, 22456, 267, 966, 306, 8943, 267, 513, 2688, 8837, 1982, 543, 519, 20798, 9517, 292, 269, 3502, 788, 611, 10030, 3357, 538, 13561, 693, 835, 1448, 543, 519, 24904, 11422, 17354, 2645, 941, 17170, 269, 9578, 1603, 3009, 1210, 595, 10030, 267, 595, 258, 267, 10084, 29441, 543, 14103, 782, 609, 519, 9837, 540, 2417, 1818, 14181, 18602, 13410, 1256, 811, 1448, 1652, 269, 898, 1917, 338, 519, 2243, 269, 1656, 519, 2626, 547, 602, 2243, 568, 281, 2679, 519, 2645, 547, 4194, 14181, 18602, 593, 606, 20798, 9863, 1259, 811, 6678, 337, 16226, 982, 3257, 519, 13410, 780, 5472, 540, 519, 3009, 666, 581, 1336, 593, 27707, 29878, 4179, 2517, 326, 603, 889, 2593, 19072, 833, 294, 310, 655, 270, 6635, 18003, 306, 644, 18602, 692, 2791, 786, 1265, 1614, 8747, 972, 269, 5565, 946, 519, 5395, 658, 18554, 547, 4159, 513, 2347, 11015, 543, 519, 3791, 814, 519, 2407, 14103, 3593, 8818, 269, 5637, 4485, 946, 811, 610, 1447, 519, 1482, 14181, 18602, 1362, 4352, 519, 31923, 835, 814, 513, 1507, 1110, 547, 5815, 606, 5470, 538, 519, 1305, 11015, 547, 519, 10912, 1357, 2985, 563, 2252, 596, 1175, 16681, 2921, 513, 1413, 693, 519, 14181, 18602, 24626, 1287, 519, 5395, 658, 18554, 8747, 616, 4440, 585, 596, 269, 1403, 596, 616, 5461, 538, 1210, 606, 20798, 547, 1683, 1357, 2533, 1287, 519, 824, 4781, 1131, 6961, 811, 10694, 540, 1576, 780, 5278, 4967, 593, 519, 1489, 3009, 538, 519, 31923, 4528, 780, 5475, 519, 4604, 13462, 547, 31923, 519, 7746, 568, 3323, 593, 2823, 476, 3199, 630, 20598, 26824, 1040, 634, 7746, 568, 16913, 538, 519, 3044, 8520, 3890, 1599, 7996, 585, 7817, 4296, 269, 1403, 513, 4276, 568, 1500, 1287, 3197, 2366, 676, 519, 7817, 616, 6740, 538, 513, 17280, 7996, 585, 606, 1439, 540, 1899, 1915, 630, 10472, 1568, 5386, 609, 717, 4953, 13668, 1040, 1879, 519, 1439, 540, 513, 1899, 568, 9571, 1287, 519, 17280, 568, 13761, 547, 1294, 1018, 519, 7662, 568, 269, 1403, 519, 7662, 568, 585, 968, 270, 968, 1287, 519, 2985, 5627, 519, 3593, 8818, 568, 6039, 547, 519, 7817, 269, 1403, 519, 7662, 3568, 519, 630, 541, 4226, 9009, 264, 5569, 968, 1690, 1314, 270, 892, 1287, 713, 568, 5701, 607, 513, 7662, 585, 11015, 6061, 269, 634, 11015, 5569, 1058, 1246, 513, 2048, 286, 685, 1915, 10834, 519, 1376, 540, 519, 7662, 1239, 4947, 689, 519, 7817, 780, 763, 4196, 288, 329, 1314, 3890, 1599, 19306, 519, 11015, 5569, 543, 10596, 621, 547, 513, 1007, 3236, 540, 519, 14181, 18602, 1362, 543, 10596, 602, 547, 519, 4194, 3890, 1599, 269, 1403, 782, 4422, 1134, 1287, 519, 11015, 568, 8120, 607, 851, 540, 513, 32227, 5569, 2059, 609, 930, 7194, 269, 1403, 606, 5470, 568, 9571, 1287, 513, 2241, 5470, 5048, 30283, 519, 11015, 3070, 538, 519, 32227, 799, 849, 2882, 606, 5470, 9206, 780, 2026, 595, 10030, 1281, 711, 1489, 8086, 267, 519, 1599, 1031, 547, 1711, 519, 32227, 5569, 568, 1808, 547, 713, 4305, 1107, 621, 1131, 581, 8799, 547, 2328, 1945, 13598, 269, 634, 1599, 1934, 3096, 519, 20798, 21642, 1843, 602, 538, 2489, 594, 2057, 269, 898, 1281, 723, 930, 10626, 950, 596, 723, 547, 2445, 513, 1297, 540, 3334, 883, 513, 5569, 543, 922, 946, 568, 1175, 827, 11807, 950, 16876, 538, 513, 5634, 1599, 865, 602, 519, 3965, 11640, 786, 3533, 581, 16626, 269, 2290, 1554, 267, 594, 2731, 1590, 1694, 543, 3009, 513, 1732, 21642, 1362, 1107, 835, 1554, 563, 763, 1614, 3252, 602, 630, 18474, 1441, 264, 1780, 519, 1357, 2985, 1543, 547, 606, 7923, 7817, 950, 16761, 616, 593, 5094, 29601, 3957, 28509, 21397, 543, 28509, 297, 306, 269, 901, 11460, 729, 3274, 547, 1832, 519, 1292, 3009, 9184, 2973, 269, 2353, 789, 798, 568, 3977, 630, 553, 12673, 264, 519, 1543, 540, 519, 1357, 2985, 799, 1058, 581, 9838, 547, 519, 4994, 11258, 3758, 3769, 538, 519, 27707, 29878, 23789, 630, 553, 621, 568, 1259, 4443, 547, 1224, 1040, 634, 3009, 3096, 519, 24177, 11346, 3989, 585, 1022, 7179, 1843, 630, 4310, 676, 5395, 658, 607, 1134, 607, 519, 31923, 5141, 1304, 3236, 264, 693, 519, 1283, 540, 519, 14181, 18602, 19544, 9184, 780, 5278, 4967, 593, 519, 1357, 2985, 692, 2252, 596, 1413, 693, 519, 4994, 11258, 2985, 6041, 540, 519, 2985, 602, 568, 6039, 676, 713, 20798, 1788, 596, 786, 5469, 602, 1079, 6119, 616, 22434, 689, 7131, 28213, 269, 901, 1797, 602, 593, 693, 2547, 519, 1101, 8317, 602, 519, 1788, 568, 2196, 267, 621, 2115, 547, 581, 593, 513, 31923, 3060, 609, 606, 5769, 4276, 630, 6518, 568, 519, 4397, 1533, 538, 1034, 8320, 1040, 2991, 602, 267, 519, 6119, 786, 4440, 723, 1044, 524, 3737, 676, 519, 11422, 269, 2290, 540, 519, 6119, 568, 519, 795, 5226, 2044, 5399, 543, 519, 824, 568, 513, 2370, 2003, 653, 2044, 602, 568, 1031, 676, 519, 3009, 547, 798, 930, 7990, 1574, 532, 543, 2306, 1100, 6209, 9295, 547, 519, 4305, 1107, 855, 594, 899, 621, 563, 2691, 519, 20798, 25192, 543, 814, 8678, 513, 31923, 3060, 621, 10525, 519, 7379, 3009, 538, 519, 5395, 658, 18554, 6885, 4712, 547, 581, 9411, 547, 513, 11422, 1107, 519, 2232, 540, 519, 7746, 786, 1419, 581, 1945, 899, 5291, 2517, 4572, 269, 12739, 269, 271, 269, 7367, 270, 780, 763, 14103, 2488, 513, 2241, 5943, 609, 513, 2985, 16144, 267, 513, 2999, 15965, 285, 585, 519, 14181, 18602, 968, 14456, 892, 543, 1614, 16181, 269, 634, 10084, 29441, 2882, 513, 1599, 2721, 8368, 3890, 602, 13976, 513, 3349, 540, 7515, 609, 1142, 6418, 3349, 1591, 5627, 606, 2999, 6358, 285, 3693, 269, 594, 1223, 723, 2813, 519, 2898, 3364, 538, 1665, 5346, 855, 30971, 594, 993, 513, 27732, 543, 7064, 547, 623, 1678, 1690, 27958, 1109, 1721, 519, 7515, 1369, 513, 3349, 2856, 585, 513, 2241, 855, 10694, 3308, 1198, 780, 763, 5383, 602, 2095, 689, 1210, 795, 5226, 2044, 616, 6654, 950, 596, 1413, 693, 519, 2312, 8368, 3890, 1599, 602, 814, 1152, 835, 1899, 780, 763, 4194, 294, 5090, 3890, 1599, 7011, 956, 519, 11015, 5569, 543, 15920, 621, 3842, 513, 717, 4953, 7662, 547, 519, 20798, 7746, 1210, 519, 795, 5226, 2044, 8096, 269, 1690, 1314, 3890, 3710, 538, 1599, 602, 3217, 513, 29250, 630, 332, 755, 581, 851, 540, 519, 1482, 6389, 607, 519, 2985, 729, 10099, 3481, 689, 1070, 1022, 1239, 630, 712, 11015, 264, 543, 513, 1289, 1394, 1599, 585, 1022, 3210, 689, 519, 7746, 780, 763, 1289, 25746, 1599, 568, 1224, 4910, 738, 3890, 543, 713, 3096, 519, 795, 5226, 2044, 269, 27785, 297, 306, 2177, 3890, 1599, 547, 1711, 513, 10084, 29441, 1843, 689, 519, 32227, 5569, 950, 621, 21128, 269, 7073, 8747, 540, 10084, 29441, 630, 1348, 2413, 26292, 264, 723, 513, 2147, 1599, 32227, 269, 27785, 3890, 1107, 1175, 2760, 581, 15673, 539, 547, 946, 859, 531, 3890, 538, 713, 2796, 630, 24392, 594, 666, 3314, 2348, 547, 267, 538, 3504, 2053, 1040, 634, 2818, 540, 519, 4611, 1843, 616, 1287, 1031, 547, 9337, 519, 30892, 14013, 780, 2026, 513, 12576, 267, 782, 540, 519, 3009, 666, 581, 1336, 267, 12649, 543, 22434, 689, 27707, 29878, 692, 305, 7342, 593, 4587, 20798, 12545, 692, 296, 12995, 513, 3803, 630, 12061, 31923, 264, 4528, 609, 4140, 5534, 946, 540, 11550, 14875, 4932, 547, 1294, 875, 621, 1522, 2196, 593, 4587, 476, 279, 3787, 1488, 706, 16394, 269, 901, 4528, 10443, 5386, 593, 513, 631, 9680, 288, 476, 16348, 271, 4352, 519, 14887, 16267, 5921, 6905, 2196, 2053, 585, 1346, 13410, 602, 2877, 606, 6905, 3406, 547, 8207, 269, 594, 1256, 5795, 602, 4528, 513, 2196, 593, 606, 20798, 6167, 302, 1141, 519, 1101, 1079, 4693, 13410, 941, 12193, 855, 519, 4604, 4503, 3346, 1310, 1346, 5266, 2241, 3283, 941, 6192, 780, 1262, 29247, 15738, 856, 602, 952, 594, 1185, 1044, 8193, 593, 513, 3760, 602, 1031, 519, 3044, 595, 10030, 21070, 543, 1031, 602, 547, 3180, 519, 536, 944, 2418, 713, 1131, 723, 1044, 2944, 8850, 676, 519, 21070, 1362, 269, 1717, 606, 5044, 568, 5488, 982, 513, 6152, 543, 3976, 2141, 30074, 950, 596, 917, 1175, 875, 1082, 2609, 596, 991, 547, 4558, 269, 0, 258, 9612, 2164, 692, 272, 269, 12693, 7490, 2995, 952, 713, 568, 2953, 692, 2467, 616, 5470, 538, 3292, 799, 723, 1079, 2694, 3487, 589, 543, 3487, 645, 269, 623, 263, 19587, 538, 589, 264, 815, 476, 271, 269, 1724, 623, 263, 19587, 538, 645, 264, 815, 476, 271, 269, 4343, 623, 263, 32491, 16154, 950, 5470, 538, 589, 264, 815, 476, 271, 269, 277, 623, 263, 32491, 16154, 950, 5470, 538, 645, 264, 815, 476, 271, 269, 7597, 273, 623, 263, 2889, 326, 16154, 950, 606, 5470, 538, 1312, 589, 543, 645, 264, 815, 476, 271, 269, 8064, 1627, 272, 264, 7312, 1982, 1835, 14414, 269, 4855, 623, 263, 19587, 538, 1312, 2483, 273, 269, 12693, 11192, 5506, 11532, 538, 15922, 525, 11532, 2243, 692, 4131, 621, 581, 10924, 602, 596, 616, 2324, 593, 513, 1788, 538, 681, 269, 634, 1788, 5161, 540, 1079, 2694, 269, 634, 1101, 851, 568, 1759, 593, 10855, 7194, 543, 519, 2034, 835, 568, 547, 2203, 519, 1239, 269, 634, 5506, 602, 972, 568, 606, 5470, 568, 519, 1101, 851, 267, 568, 476, 271, 269, 1724, 269, 1306, 519, 2034, 851, 568, 811, 6310, 865, 2483, 274, 269, 12693, 24951, 3328, 540, 1079, 2164, 2439, 3383, 1934, 568, 513, 2243, 799, 12134, 803, 547, 5635, 519, 1611, 2164, 269, 4179, 2517, 756, 321, 16691, 17320, 275, 312, 16256, 295, 301, 1924, 594, 7229, 519, 1611, 1297, 540, 7972, 829, 476, 1911, 1822, 1004, 1775, 4318, 630, 26316, 280, 270, 21327, 267, 276, 4792, 267, 28760, 12684, 1911, 1822, 815, 476, 272, 269, 1691, 269, 1924, 1018, 547, 2161, 286, 634, 829, 6377, 7972, 540, 476, 1001, 280, 941, 3152, 982, 602, 540, 538, 476, 1708, 271, 269, 2334, 781, 621, 888, 275, 269, 12693, 1772, 1250, 1935, 2953, 585, 713, 23481, 3892, 2243, 2496, 288, 3406, 2599, 14477, 11974, 883, 476, 1428, 1114, 12240, 269, 8307, 519, 476, 280, 12240, 723, 519, 2838, 2164, 269, 1548, 568, 519, 5506, 602, 519, 2838, 1267, 786, 581, 1336, 538, 693, 2547, 476, 274, 540, 519, 1101, 476, 276, 12240, 888, 276, 269, 12693, 1548, 1919, 547, 1331, 538, 5758, 7194, 2496, 295, 6614, 256, 1924, 713, 568, 513, 2243, 1373, 2016, 281, 4179, 2517, 756, 321 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 676, 692, 21851, 6234, 642, 18155, 3667, 346, 337, 916, 3686, 3867, 273, 18098, 842, 23214, 271, 23685, 13727, 7684, 341, 3867, 273, 348, 325, 17635, 9385, 267, 323, 341, 284, 275, 19570, 1422, 3847, 263, 3189, 2765, 2715, 332, 2410, 273, 19570, 737, 307, 14990, 2431, 8203, 3189, 2765, 2715, 274, 2410, 273, 14990, 842, 23214, 271, 23685, 13727, 7684, 341, 3867, 275, 348, 324, 13064, 3189, 2765, 2715, 332, 341, 3867, 273, 12453, 273, 330, 307, 3686, 4153, 267, 323, 341, 269, 10592, 8794, 519, 5610, 4542, 692, 21851, 6234, 1422, 842, 23214, 271, 23685, 13727, 7684, 343, 3867, 273, 333, 348, 324, 13064, 3189, 2765, 2715, 343, 3867, 273, 12453, 320, 3867, 273, 3686, 14990, 267, 11459, 284, 3189, 6912, 11513, 7032, 476, 14990, 267, 3189, 2765, 2715, 263, 273, 333, 25631, 2410, 333, 256, 14990, 3847, 263, 3189, 2765, 2715, 320, 2410, 273, 14990, 2431, 22722, 273, 333, 266, 272, 9574, 315, 15153, 562, 22174, 1422, 13992, 2715, 301, 348, 2073, 20867, 320, 22174, 1422, 13992, 2715, 305, 348, 476, 3867, 266, 9574, 10592, 527, 5205, 602, 692, 21851, 6234, 642, 18155, 3667, 346, 337, 916, 3686, 3867, 273, 13157, 275, 19570, 1422, 3847, 263, 3189, 2765, 2715, 332, 2410, 273, 19570, 737, 307, 14990, 2431, 8203, 3189, 256, 3189, 2765, 2715, 274, 2410, 273, 3686, 7346, 6912, 11513, 7032, 476, 14990, 267, 3189, 2765, 2715, 275, 256, 2410, 273, 256, 14990, 3847, 263, 3189, 2765, 11513, 6912, 11513, 2765, 2715, 273, 330, 307, 2410, 332, 3686, 2410, 273, 14990, 2431, 8203, 3189, 256, 276, 13157, 3189, 2765, 2715, 274, 330, 307, 2410, 332, 3686, 267, 10592, 5228, 799, 649, 1205, 519, 4998, 3154, 1876, 1384, 21851, 6234, 14346, 284, 3189, 2765, 2715, 272, 2410, 274, 3686, 301, 332, 13375, 263, 3189, 2765, 2715, 274, 330, 307, 2410, 332, 14990, 2431, 6661, 301, 330, 307, 269, 10592, 2971, 18926, 11707, 692, 4131, 7117, 815, 630, 336, 343, 267, 7117, 344, 267, 7117, 345, 264, 543, 533, 815, 630, 29210, 267, 7510, 267, 533, 345, 264, 20301, 519, 2990, 6152, 543, 11610, 6152, 540, 513, 9325, 540, 606, 4998, 3154, 267, 6606, 269, 2913, 674, 20301, 519, 2121, 3196, 593, 602, 9325, 269, 3973, 630, 18314, 2053, 264, 519, 942, 8584, 591, 3042, 15452, 1648, 540, 519, 9325, 568, 1384, 3189, 6234, 11513, 8218, 25410, 4153, 30848, 1422, 10400, 2715, 336, 348, 1422, 10383, 1422, 10400, 2715, 293, 348, 1422, 26917, 1299, 7807, 3847, 315, 30848, 7117, 3709, 343, 7346, 2765, 2715, 31389, 3709, 343, 12453, 19049, 14990, 2431, 315, 26917, 1341, 315, 3847, 315, 30848, 7117, 3709, 344, 7346, 2765, 2715, 31389, 3709, 344, 12453, 19049, 14990, 2431, 315, 26917, 1341, 315, 3847, 315, 30848, 7117, 3709, 345, 7346, 2765, 2715, 31389, 3709, 345, 12453, 19049, 14990, 2431, 315, 26917, 8607, 261, 284, 10559, 3847, 315, 30848, 7117, 3709, 343, 7346, 2765, 11513, 14783, 670, 7346, 14783, 7117, 3709, 343, 3686, 4153, 2431, 315, 26917, 28363, 3847, 315, 30848, 7117, 3709, 344, 7346, 2765, 11513, 14783, 670, 7346, 14783, 7117, 3709, 344, 3686, 4153, 2431, 315, 26917, 28363, 3847, 315, 30848, 7117, 3709, 345, 7346, 2765, 11513, 14783, 670, 7346, 14783, 7117, 3709, 345, 3686, 4153, 2431, 315, 26917, 815, 268, 274, 330, 18155, 3667, 346, 289, 3686, 307, 12101, 754, 25410, 3686, 10926, 3602, 519, 1101, 7862, 568, 13053, 781, 2034, 1876, 267, 543, 519, 2034, 1899, 3096, 16803, 781, 4834, 543, 519, 16491, 691, 819, 11532, 269, 5681, 2719, 936, 513, 1062, 540, 715, 5536, 11729, 692, 21851, 6234, 476, 274, 301, 330, 3709, 289, 348, 307, 284, 10559, 3847, 315, 30848, 1422, 8999, 23214, 330, 284, 272, 8703, 301, 4153, 10400, 2715, 336, 348, 23214, 330, 4153, 10383, 1422, 10400, 2715, 293, 348, 23214, 330, 4153, 2431, 315, 26917, 1547, 10592, 3528, 13053, 781, 3791, 1876, 543, 519, 4998, 3154, 13429, 267, 519, 2121, 3196, 540, 519, 1062, 568, 519, 3196, 4294, 676, 519, 6821, 540, 519, 8708, 267, 543, 713, 3196, 568, 2016, 676, 519, 2604, 623, 540, 519, 3154, 269, 9747, 692, 21851, 6234, 28363, 3847, 315, 30848, 1422, 8999, 23214, 330, 284, 272, 8703, 301, 4153, 10400, 2715, 336, 348, 23214, 330, 4153, 10383, 1422, 10400, 2715, 293, 348, 23214, 330, 4153, 2431, 315, 26917, 815, 303, 315, 2002, 9041, 3189, 3667, 346, 338, 16577, 14990, 10400, 2715, 336, 348, 1422, 10383, 546, 315, 10400, 2715, 306, 348, 2073, 10592, 3602, 546, 306, 568, 519, 31208, 2572, 2711, 1858, 3693, 2059, 519, 6821, 540, 519, 8708, 269, 4595, 519, 27754, 540, 519, 2990, 6152, 7117, 568, 692, 21851, 6234, 1422, 10109, 5055, 1422, 10383, 1422, 10400, 2715, 336, 348, 815, 3189, 2765, 11513, 14783, 7117, 3709, 343, 24828, 14783, 7117, 3709, 343, 3686, 15396, 3189, 2765, 11513, 14783, 7117, 3709, 344, 24828, 14783, 7117, 3709, 344, 3686, 15396, 3189, 2765, 11513, 14783, 7117, 3709, 345, 24828, 14783, 7117, 3709, 345, 3686, 13157, 274, 267, 10592, 1492, 27754, 11532, 10522, 602, 692, 21851, 6234, 623, 315, 2002, 9041, 3189, 3667, 346, 338, 16577, 14990, 10400, 2715, 336, 348, 1422, 10383, 546, 315, 10400, 2715, 306, 348, 815, 303, 315, 842, 9041, 3189, 3667, 346, 14179, 2541, 14990, 3847, 7268, 10109, 5055, 1422, 10383, 1422, 10400, 2715, 336, 348, 1422, 2431, 264, 323, 309, 284, 274, 11901, 267, 10592, 3602, 546, 309, 568, 606, 31208, 2572, 2711, 4320, 1369, 519, 8708, 543, 966, 568, 519, 2698, 4320, 540, 519, 8708, 780, 21607, 1154, 891, 3160, 885, 1927, 11729, 692, 21851, 6234, 476, 274, 301, 330, 18155, 3667, 346, 289, 3686, 307, 284, 10559, 3847, 315, 30848, 1422, 8999, 23214, 330, 284, 272, 8703, 301, 4153, 10400, 2715, 336, 348, 23214, 330, 4153, 10383, 1422, 10400, 2715, 293, 348, 23214, 330, 4153, 2431, 315, 26917, 815, 274, 11901, 267, 10592, 6518, 5612, 10522, 519, 4998, 3154, 1876, 585, 715, 5536, 1384, 21851, 6234, 14346, 284, 301, 330, 3709, 289, 348, 307, 284, 333, 20670, 267, 10592, 3602, 562, 815, 715, 270, 2793, 568, 519, 1297, 540, 18253, 540, 3154, 543, 681, 815, 19364, 330, 289, 568, 519, 3154, 3586, 780, 1012, 4033, 7516, 692, 2690, 513, 546, 8820, 1062, 267, 519, 4998, 3154, 2604, 568, 281, 314, 279, 6540, 21851, 6234, 623, 3867, 263, 323, 264, 13157, 3189, 2765, 2715, 301, 330, 3709, 289, 348, 307, 2410, 299, 3867, 323, 3686, 9574, 10592, 3602, 12276, 6234, 700, 3867, 323, 22288, 1109, 568, 519, 4320, 540, 519, 546, 8820, 6389, 538, 799, 519, 3154, 6818, 269, 634, 7516, 540, 519, 2604, 2242, 609, 10155, 1275, 780, 1012, 22108, 692, 272, 269, 9745, 1849, 1901, 344, 1258, 267, 661, 269, 630, 8146, 276, 1040, 834, 300, 2946, 15879, 790, 1147, 3288, 4996, 8599, 2138, 29029, 632, 3288, 669, 1446, 584, 2668, 4750, 632, 561, 262, 32723, 1723, 548, 12443, 23855, 1664, 630, 514, 3943, 1040, 2473, 4353, 281, 476, 14631, 1700, 3445, 269, 11120, 13678, 850, 693, 519, 24157, 1054, 11726, 4302, 3084, 324, 632, 5333, 630, 653, 269, 1109, 14631, 1700, 3445, 1916, 273, 269, 9745, 918, 337, 7238, 333, 580, 267, 589, 269, 630, 6977, 277, 1040, 834, 294, 745, 526, 345, 6686, 613, 552, 10719, 634, 12929, 3541, 717, 848, 2668, 1323, 2522, 523, 3541, 4284, 1731, 3768, 6314, 773, 630, 514, 4436, 1040, 476, 4200, 630, 1015, 2567, 476, 25628, 1700, 2420, 269, 645, 756, 13892, 281, 6977, 277, 2304, 303, 1862, 11260, 907, 25628, 298, 269, 8222, 281, 1015, 269, 1911, 273, 270, 663, 335, 269, 6977, 277, 1704, 27944, 5400, 269, 11120, 13678, 850, 693, 519, 24157, 1054, 11726, 4302, 3084, 324, 632, 5333, 630, 653, 269, 1109, 25628, 1700, 2420, 1916, 274, 269, 9745, 1849, 9476, 3780, 267, 681, 269, 630, 6977, 278, 1040, 834, 308, 324, 828, 5884, 3203, 3541, 2142, 933, 326, 2426, 267, 7143, 3832, 530, 597, 654, 7564, 337, 1889, 562, 3317, 523, 2668, 1323, 2522, 523, 3541, 4284, 1731, 3768, 6314, 773, 630, 514, 4436, 1040, 476, 12293, 630, 274, 2567, 476, 31874, 1700, 8064, 269, 645, 756, 13892, 281, 6977, 278, 2304, 303, 1862, 12293, 907, 31874, 290, 269, 8222, 281, 1015, 269, 1911, 273, 270, 663, 335, 269, 6977, 278, 1704, 2568, 274, 6349, 269, 11120, 13678, 850, 693, 519, 24157, 1054, 11726, 4302, 3084, 324, 632, 5333, 630, 653, 269, 1109, 31874, 1700, 8064, 1916, 275, 269, 9745, 834, 13420, 566, 540, 3557, 2668, 21444, 689, 519, 3312, 593, 476, 1001, 275, 268, 5400, 268, 2537, 269, 8158, 476, 1001, 271, 268, 5400, 268, 3066, 563, 276, 269, 9745, 5651, 534, 282, 1744, 777, 10098, 630, 1220, 271, 1040, 26386, 540, 7177, 26457, 19392, 630, 275, 628, 1109, 539, 12175, 25067, 269, 9768, 1109, 271, 268, 5325, 272, 268, 28766, 1724, 268, 277, 563, 277, 269, 9745, 31434, 267, 26366, 996, 654, 269, 630, 1001, 271, 1040, 4937, 267, 5214, 267, 543, 6211, 7998, 1109, 281, 606, 7471, 1935, 630, 274, 6113, 1109, 539, 12175, 3627, 25067, 1299, 25860, 269, 533, 269, 1109, 5908, 269, 9768, 1109, 7818, 271, 5325, 30588, 5325, 277, 276, 269, 8158, 476, 3066, 5130, 476, 1001, 280, 563, 278, 269, 9745, 808, 269, 681, 269, 681, 4141, 321, 3089, 630, 4572, 277, 1040, 834, 763, 808, 537, 548, 268, 1320, 1682, 517, 6356, 538, 5794, 2668, 18619, 540, 519, 2817, 9142, 540, 7070, 540, 519, 2136, 2276, 540, 3013, 269, 476, 1321, 630, 272, 2567, 476, 4649, 1700, 6812, 269, 645, 756, 13892, 281, 4572, 277, 303, 2793, 306, 1862, 1321, 1862, 4649, 305, 269, 8222, 281, 1015, 269, 13040, 274, 9706, 19063, 269, 1321, 269, 272, 269, 4649, 269, 6751, 290, 1109, 10482, 275, 4375, 279, 269, 20163, 1109, 13679, 278, 7597, 6795, 563, 279, 269, 9745, 10609, 582, 574, 1695, 267, 590, 16951, 715, 584, 592, 282, 5164, 21355, 267, 590, 1706, 529, 5448, 630, 1001, 272, 268, 6187, 268, 5881, 1040, 834, 8512, 819, 1599, 540, 476, 272, 19985, 476, 273, 19985, 543, 476, 274, 5937, 1395, 30061, 4998, 3154, 281, 589, 2241, 543, 3102, 2689, 2668, 808, 19012, 623, 1263, 1690, 15546, 674, 529, 11986, 1530, 330, 565, 1695, 9093, 1263, 1695, 269, 476, 273, 630, 273, 2567, 476, 1428, 1700, 1240, 269, 818, 311, 643, 281, 8099, 277, 269, 14096, 274, 269, 645, 756, 13892, 281, 1001, 272, 541, 311, 643, 8099, 277, 269, 14096, 274, 301, 269, 0, 14157, 5653, 693, 513, 1808, 1448, 538, 942, 692, 15612, 908, 540, 519, 31302, 6453, 693, 513, 1808, 1448, 538, 942, 692, 24280, 31302, 6453, 692, 4002, 713, 2985, 596, 666, 5173, 519, 31302, 1871, 540, 513, 18980, 18042, 14251, 566, 693, 513, 1808, 1448, 538, 942, 780, 763, 4704, 6453, 666, 581, 9411, 607, 606, 2500, 1871, 610, 607, 513, 8445, 6453, 780, 9743, 656, 10389, 6453, 9498, 692, 18452, 13229, 6453, 30078, 6453, 966, 22039, 21636, 737, 13703, 631, 13703, 717, 13703, 5384, 562, 20376, 18725, 20376, 544, 20376, 27116, 27252, 4025, 476, 271, 476, 272, 476, 273, 476, 274, 476, 275, 476, 277, 476, 279, 476, 1015, 28088, 13229, 6453, 30078, 6453, 16474, 23358, 6453, 692, 13528, 3121, 585, 12719, 519, 31302, 1871, 692, 4415, 519, 948, 540, 519, 16070, 4908, 12596, 2630, 267, 519, 31302, 1871, 540, 6453, 543, 1699, 666, 581, 5462, 1310, 513, 1978, 942, 6695, 6234, 512, 29634, 14668, 476, 271, 4113, 579, 815, 476, 271, 309, 14668, 476, 3445, 4113, 579, 815, 3331, 375, 14668, 476, 5197, 4113, 579, 815, 476, 271, 309, 14668, 476, 17734, 4113, 579, 815, 3331, 375, 14668, 476, 11740, 4113, 579, 815, 476, 271, 309, 692, 763, 17927, 9498, 1590, 581, 1305, 547, 32494, 547, 5173, 891, 12596, 780, 17951, 983, 4908, 6695, 6234, 28911, 284, 630, 273, 5788, 12631, 5788, 535, 264, 9681, 11377, 6234, 579, 284, 383, 375, 5788, 5609, 263, 22886, 5788, 512, 14638, 5231, 6695, 6234, 815, 383, 375, 5788, 5609, 263, 273, 12631, 535, 5788, 512, 264, 9681, 11377, 6234, 1775, 284, 383, 362, 5788, 5609, 263, 22886, 5788, 512, 264, 9681, 26765, 754, 692, 6695, 6234, 3331, 375, 2330, 30078, 6453, 6695, 6234, 579, 2330, 2382, 656, 10389, 6453, 6695, 6234, 535, 2330, 22039, 6695, 6234, 512, 2330, 5384, 6695, 6234, 28911, 2330, 4911, 983, 4908, 6695, 6234, 3331, 362, 2330, 30078, 1699, 6695, 6234, 1775, 2330, 2382, 656, 10389, 1699, 692, 604, 596, 1616, 547, 946, 5232, 267, 596, 1590, 6460, 519, 9936, 547, 4110, 630, 343, 6440, 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 ]
[ 3487, 2873, 454, 268, 4139, 12243, 3763, 338, 23397, 5027, 30594, 5422, 454, 268, 5082, 1258, 7304, 747, 5450, 1023, 5269, 595, 10984, 923, 570, 965, 547, 15434, 1188, 454, 268, 23203, 762, 27620, 24439, 6490, 1559, 543, 25024, 5455, 2060, 519, 21253, 540, 513, 674, 5424, 454, 268, 24613, 681, 4084, 281, 12207, 15233, 27951, 23027, 23317, 593, 513, 15089, 6248, 17361, 454, 268, 6660, 9693, 281, 22387, 1155, 3487, 1834, 24665, 1807, 3718, 454, 268, 8111, 331, 14819, 9453, 513, 8111, 30776, 281, 4284, 27913, 30205, 5843, 2675, 8554, 15332, 7799, 1080, 454, 268, 15089, 641, 14835, 28404, 16393, 4354, 321, 9435, 5450, 770, 12118, 547, 25016, 338, 676, 28080, 7566, 513, 19871, 454, 268, 3203, 2060, 5027, 4534, 32693, 958, 12861, 476, 1626, 28985, 27413, 676, 6314, 529, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 5020, 7070, 1315, 4437, 17190, 1315, 24103, 758, 27282, 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, 769, 519, 14297, 2749, 540, 15306, 6807, 267, 1079, 2025, 2828, 267, 5981, 543, 16092, 267, 2893, 1524, 693, 741, 5172, 6995, 6300, 547, 6952, 909, 1310, 1296, 6306, 269, 5637, 941, 1631, 3811, 3301, 9367, 2324, 585, 15180, 10509, 3549, 780, 20694, 3576, 513, 521, 760, 689, 1010, 28448, 1786, 14954, 4234, 974, 1354, 6998, 267, 834, 3383, 267, 594, 4312, 1044, 1210, 713, 1007, 12363, 813, 25015, 910, 621, 814, 9735, 8039, 256, 654, 13860, 2285, 621, 513, 8929, 8119, 1261, 15504, 856, 1010, 6049, 543, 4951, 16092, 519, 30437, 6085, 281, 834, 17764, 1250, 269, 634, 1655, 12363, 813, 269, 3143, 17756, 3010, 297, 600, 773, 6659, 606, 32071, 992, 543, 19942, 1394, 519, 6049, 269, 834, 19950, 532, 2437, 1352, 1767, 24617, 269, 834, 3719, 1577, 803, 2307, 596, 1945, 1101, 1862, 1684, 596, 917, 952, 621, 7028, 3444, 13807, 520, 845, 10342, 12482, 257, 295, 7825, 332, 267, 594, 1589, 865, 29389, 5981, 11688, 18469, 607, 646, 1085, 9776, 998, 519, 813, 6609, 593, 1010, 5496, 269, 834, 31800, 1695, 267, 1934, 621, 3081, 1412, 4818, 26702, 2066, 2101, 5665, 1949, 9538, 4208, 798, 596, 2307, 12482, 4415, 513, 521, 569, 12837, 267, 16092, 14452, 267, 834, 11039, 267, 938, 2754, 568, 3384, 513, 2147, 3498, 855, 10010, 609, 17356, 2152, 1063, 1114, 5867, 269, 1403, 707, 9241, 4362, 17576, 20362, 873, 1134, 267, 5310, 972, 616, 930, 3407, 4030, 649, 666, 1451, 689, 922, 1374, 3010, 7021, 519, 1985, 5662, 267, 789, 798, 557, 2620, 883, 7421, 519, 5294, 543, 931, 540, 519, 5227, 12363, 813, 1247, 11981, 741, 30756, 4315, 269, 1358, 5941, 1585, 2934, 971, 607, 2688, 714, 1464, 267, 3432, 267, 3354, 267, 3593, 8818, 267, 543, 5610, 7207, 269, 8528, 7628, 741, 6643, 267, 16092, 3838, 1200, 4145, 827, 1761, 16426, 1813, 547, 13385, 4152, 593, 14758, 8153, 5867, 269, 11531, 267, 5981, 4547, 909, 7834, 2152, 2404, 609, 1239, 7829, 2853, 5018, 538, 1776, 2228, 2689, 780, 5475, 20604, 1312, 2318, 630, 1080, 15774, 5610, 609, 2442, 2533, 264, 543, 2942, 3344, 630, 1492, 3668, 540, 3573, 12319, 1070, 789, 6603, 513, 13618, 269, 6736, 5634, 19363, 267, 713, 12363, 813, 11542, 2212, 543, 17525, 1657, 1866, 538, 2474, 540, 2949, 2773, 543, 6617, 780, 7661, 267, 5981, 6743, 2047, 693, 16092, 543, 1767, 900, 874, 5597, 267, 834, 2704, 2431, 267, 6236, 3388, 649, 4312, 14437, 827, 267, 1131, 594, 1869, 4363, 713, 813, 286, 4347, 17802, 15323, 4504, 29098, 676, 1018, 789, 4121, 267, 16092, 4956, 547, 2263, 519, 7872, 540, 6220, 930, 2609, 540, 519, 26916, 813, 883, 1200, 2319, 781, 1788, 1107, 4180, 9488, 3760, 17356, 4255, 543, 5355, 12319, 2298, 269, 901, 3375, 3366, 547, 1200, 2319, 6721, 513, 811, 7347, 1587, 602, 6591, 6284, 1369, 519, 2872, 780, 4002, 519, 824, 1688, 267, 5981, 5189, 519, 813, 547, 1010, 9164, 1932, 267, 945, 7620, 25323, 621, 1317, 540, 4652, 15903, 12886, 2509, 28106, 3435, 269, 2991, 26164, 4824, 7607, 543, 4398, 267, 2705, 267, 1256, 519, 25411, 684, 3832, 560, 16002, 923, 1185, 1100, 3903, 855, 547, 16153, 14710, 30780, 780, 7437, 1930, 2792, 267, 2565, 3206, 267, 543, 8994, 2463, 267, 891, 1079, 2828, 5828, 513, 2241, 16252, 883, 606, 4316, 585, 2208, 543, 1565, 269, 1635, 8508, 16268, 9880, 543, 3695, 4244, 5380, 267, 3025, 3238, 28322, 3648, 1107, 17923, 519, 2956, 540, 7279, 267, 5698, 267, 543, 6024, 6454, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 11693, 713, 2689, 281, 834, 17764, 1250, 269, 634, 1655, 12363, 813, 269, 3143, 17756, 1701, 14348, 596, 4363, 713, 813, 547, 513, 3659, 286, 3502, 693, 782, 267, 3143, 267, 9320, 267, 8786, 267, 610, 4347, 17802, 888, 12585, 912, 9377, 17802, 14325, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 4197, 16677, 698, 16479, 4260, 11594, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 2263, 519, 1158, 540, 24099, 13746, 256, 1411, 1522, 4898, 1018, 891, 616, 910, 1134, 267, 789, 2811, 899, 17476, 610, 14786, 602, 1445, 4481, 593, 3450, 543, 1565, 269, 11334, 267, 20485, 267, 3173, 267, 543, 1256, 1053, 2328, 4930, 827, 741, 2833, 543, 8906, 538, 2069, 269, 1635, 2542, 891, 13746, 267, 1004, 666, 1451, 1007, 2081, 547, 4001, 543, 948, 1866, 1451, 269, 1924, 1577, 781, 4685, 883, 713, 4241, 1888, 1927, 2439, 5331, 1373, 2111, 547, 32708, 3330, 513, 4116, 781, 2634, 543, 1265, 856, 875, 789, 2097, 909, 609, 3860, 3992, 4566, 610, 1946, 789, 3442, 1978, 2409, 936, 1866, 269, 2334, 781, 4010, 1018, 596, 1205, 950, 596, 1224, 24099, 13746, 256, 1452, 12326, 2671, 2984, 267, 2093, 267, 543, 4030, 689, 7855, 782, 1472, 519, 1158, 780, 4131, 781, 1413, 693, 930, 1806, 547, 1118, 1919, 20501, 1384, 272, 269, 2878, 20428, 13870, 543, 11572, 3203, 6657, 4995, 901, 2376, 676, 631, 23581, 9040, 5362, 12909, 827, 875, 5159, 1711, 6209, 960, 1247, 849, 6236, 1514, 2152, 269, 898, 2982, 721, 602, 1565, 3884, 1405, 1175, 827, 8357, 1944, 5013, 855, 849, 1620, 938, 5107, 538, 2486, 543, 1210, 938, 1983, 547, 1118, 621, 1732, 563, 273, 269, 2878, 763, 1262, 1862, 19315, 7227, 256, 1284, 1767, 649, 9327, 1405, 946, 1022, 1808, 4760, 4408, 1934, 2094, 596, 4465, 1405, 723, 1569, 547, 873, 2943, 269, 1809, 3972, 721, 267, 972, 616, 1082, 4277, 3283, 856, 972, 2439, 3086, 267, 1946, 1058, 2576, 707, 2085, 1416, 827, 24099, 13746, 286, 6153, 2243, 256, 2755, 1034, 540, 519, 4930, 949, 581, 2854, 676, 4079, 585, 824, 4079, 267, 972, 781, 1869, 7899, 585, 596, 547, 2744, 689, 873, 269, 3371, 616, 1614, 4128, 1946, 1384, 272, 269, 2878, 20524, 1715, 18467, 540, 4804, 4995, 3807, 899, 875, 1114, 3381, 3756, 2154, 1585, 2994, 267, 1114, 3610, 723, 2189, 4485, 547, 3450, 269, 7335, 827, 891, 3309, 2553, 666, 8300, 596, 547, 2119, 1007, 1353, 6208, 610, 2307, 707, 3610, 585, 4244, 2081, 540, 1565, 602, 9290, 596, 1655, 563, 273, 269, 2878, 18704, 2659, 14313, 4995, 1403, 596, 2479, 1185, 513, 13085, 2856, 585, 513, 1153, 1788, 610, 1336, 513, 1187, 1259, 547, 2491, 513, 2352, 1523, 267, 4952, 4687, 621, 609, 5215, 540, 824, 1053, 543, 3610, 256, 5675, 585, 513, 24099, 4760, 1223, 2285, 596, 602, 4316, 269, 9578, 267, 7487, 707, 2012, 538, 1820, 1131, 1745, 7168, 15813, 1932, 2336, 274, 269, 2878, 308, 2955, 1215, 4065, 3718, 4995, 17451, 9289, 1946, 930, 5049, 616, 19309, 1247, 1866, 1832, 596, 7722, 286, 2107, 1946, 930, 4255, 3100, 15490, 286, 10289, 24099, 13746, 666, 1683, 4267, 547, 2055, 899, 891, 543, 7668, 596, 547, 12167, 585, 2242, 538, 707, 1378, 4928, 780, 1103, 3932, 267, 24099, 13746, 2709, 3407, 4030, 883, 519, 1158, 540, 2069, 269, 4014, 789, 1522, 3100, 1950, 693, 1101, 16145, 267, 1810, 1405, 21183, 2476, 689, 3695, 873, 269, 2060, 942, 267, 596, 3513, 1020, 513, 4514, 7071, 585, 519, 1148, 540, 3450, 543, 1565, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 9560, 2762, 585, 513, 1071, 268, 10869, 1148, 1153, 454, 1607, 2985, 2882, 12190, 13132, 543, 2542, 8638, 593, 1071, 268, 10869, 1148, 2069, 267, 4244, 1148, 3506, 267, 9097, 27380, 543, 1582, 268, 6716, 5314, 269, 1358, 13173, 519, 1382, 1788, 589, 1071, 268, 10869, 1148, 1153, 286, 543, 519, 15682, 540, 4244, 1148, 3506, 269, 1280, 513, 15217, 16432, 21038, 593, 1148, 2069, 543, 9097, 27380, 1294, 519, 7101, 673, 16677, 698, 9609, 3194, 6828, 563, 2690, 3606, 12190, 13132, 593, 4244, 1148, 2069, 1294, 3427, 540, 519, 12456, 2740, 30778, 2228, 7046, 7732, 267, 14640, 684, 1751, 3767, 30778, 10319, 14640, 27376, 24153, 267, 513, 1857, 2542, 1592, 593, 9097, 2069, 543, 29450, 626, 27380, 630, 3602, 596, 666, 1039, 707, 1378, 10372, 1070, 543, 4634, 532, 4147, 30778, 11008, 2213, 616, 269, 3534, 4199, 4687, 543, 1433, 5658, 532, 8756, 563, 10870, 268, 10869, 1148, 2069, 454, 289, 629, 5362, 267, 631, 23581, 630, 1220, 275, 1040, 13595, 2504, 543, 2797, 1148, 2259, 269, 2991, 718, 281, 589, 4750, 540, 3203, 267, 12745, 543, 2037, 11431, 17136, 476, 280, 630, 306, 7428, 270, 11764, 1067, 476, 1220, 275, 1070, 6032, 269, 476, 6200, 268, 11820, 563, 289, 320, 13704, 267, 7812, 543, 2677, 6154, 539, 2006, 32308, 269, 630, 1001, 272, 1040, 634, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 539, 698, 16479, 4260, 11594, 257, 607, 851, 540, 834, 3633, 24102, 1315, 13129, 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, 3848, 476, 277, 281, 11202, 4094, 6513, 692, 8702, 547, 3848, 476, 277, 256, 1411, 4312, 1500, 621, 998, 2947, 3078, 11271, 827, 13596, 543, 771, 26529, 269, 3767, 621, 781, 942, 547, 1451, 875, 649, 666, 1852, 891, 6263, 17900, 547, 1832, 6000, 543, 938, 2950, 2635, 269, 901, 3184, 6212, 593, 1857, 1072, 4702, 3800, 1107, 2081, 8030, 948, 721, 1628, 2922, 4872, 267, 3506, 267, 543, 5321, 676, 7303, 519, 3262, 540, 3676, 3361, 676, 13596, 269, 1924, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 1857, 1072, 4702, 2439, 5978, 1101, 3247, 538, 1620, 1857, 1072, 4702, 568, 1216, 2126, 269, 9894, 596, 917, 602, 1169, 1554, 267, 1004, 4235, 811, 982, 835, 5479, 14296, 540, 2973, 1216, 286, 898, 949, 3100, 8723, 267, 855, 4180, 1569, 547, 2973, 6704, 1216, 3217, 2182, 960, 689, 1082, 6131, 4648, 267, 1519, 8030, 269, 1358, 1374, 1949, 547, 2445, 267, 1521, 267, 4558, 267, 543, 15814, 1216, 9108, 269, 2913, 781, 1413, 693, 1142, 1900, 5702, 780, 5575, 267, 1216, 4991, 6394, 689, 12647, 267, 8933, 267, 610, 11895, 2959, 1572, 19401, 269, 3973, 267, 621, 4422, 998, 1896, 3157, 1354, 8757, 938, 31316, 1115, 269, 3689, 267, 1804, 11935, 971, 607, 3762, 543, 16853, 1205, 6569, 1210, 13819, 543, 23928, 13688, 269, 8921, 2501, 19288 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4600, 798, 741, 6009, 666, 948, 6800, 22120, 1732, 2443, 543, 2149, 519, 9657, 4600, 596, 7048, 593, 563, 294, 1037, 594, 11803, 630, 294, 548, 577, 5448, 646, 1457, 25445, 264, 568, 1634, 676, 1082, 4408, 1519, 11511, 9429, 24898, 267, 11511, 9429, 808, 10154, 267, 2361, 2545, 332, 267, 7314, 20356, 267, 513, 548, 3620, 334, 1993, 267, 543, 10759, 18290, 630, 20357, 621, 19082, 606, 10759, 513, 1554, 1040, 901, 18290, 568, 1360, 25836, 543, 568, 1336, 538, 10651, 267, 1876, 985, 267, 2427, 19789, 802, 543, 5397, 3118, 18015, 267, 607, 1134, 607, 2059, 2679, 13210, 269, 10251, 267, 713, 1212, 9429, 18290, 568, 513, 21064, 543, 865, 3788, 1032, 1310, 1032, 543, 2356, 5170, 547, 581, 3039, 1282, 7646, 518, 12736, 1562, 563, 5141, 1054, 23040, 9469, 723, 811, 530, 31441, 1379, 982, 741, 1957, 13413, 267, 2569, 3653, 267, 1745, 8799, 1996, 707, 2960, 267, 543, 1413, 7168, 269, 1358, 2461, 1312, 16560, 543, 6198, 563, 3725, 20608, 12308, 23040, 9469, 1832, 4054, 689, 1373, 2759, 1524, 607, 1034, 12478, 946, 20424, 3529, 17870, 547, 3132, 1957, 23040, 9469, 269, 1849, 1054, 23040, 9469, 849, 948, 1832, 938, 13113, 25087, 2230, 513, 2370, 7962, 1512, 676, 4227, 3653, 2443, 1256, 811, 865, 952, 596, 1118, 873, 689, 909, 7094, 539, 5958, 563, 14187, 7186, 17667, 4521, 333, 5516, 568, 28165, 547, 581, 6444, 676, 661, 13612, 607, 835, 540, 476, 4200, 1390, 29036, 11882, 28737, 585, 1283, 13007, 269, 769, 922, 476, 2537, 6113, 1032, 267, 3345, 1723, 770, 476, 4200, 568, 606, 5993, 6284, 1982, 602, 20502, 11108, 28737, 538, 513, 476, 2420, 28029, 344, 3148, 538, 29036, 11882, 269, 901, 568, 519, 1101, 1032, 602, 6153, 7186, 729, 9930, 3990, 585, 519, 8366, 563, 5415, 2950, 1631, 2709, 11003, 4584, 1575, 2533, 2059, 609, 17885, 543, 9657, 4584, 1575, 269, 1809, 1034, 4892, 1810, 1406, 723, 1569, 547, 513, 24600, 3028, 543, 28048, 22254, 723, 1732, 3096, 585, 741, 1426, 543, 13452, 3653, 269, 1280, 891, 11570, 267, 513, 3099, 540, 11003, 25510, 616, 2139, 547, 948, 596, 11003, 741, 1378, 1394, 29288, 563, 296, 729, 12286, 607, 513, 8516, 5856, 593, 562, 291, 1662, 781, 5816, 454, 5978, 3653, 543, 1018, 547, 798, 609, 621, 568, 513, 2462, 851, 540, 938, 1158, 779, 2916, 1689, 3435, 269, 19382, 936, 267, 16150, 267, 543, 11552, 22760, 1426, 568, 851, 540, 713, 1966, 269, 1403, 1426, 3653, 729, 513, 2197, 267, 621, 1131, 581, 519, 3791, 4102, 16073, 540, 8511, 575, 13293, 538, 519, 1158, 267, 3297, 3624, 543, 519, 2136, 2276, 269, 19732, 1176, 267, 1426, 3653, 568, 1945, 649, 666, 2232, 693, 938, 1378, 5321, 543, 1810, 1406, 991, 547, 7048, 1866, 547, 798, 519, 960, 585, 721, 563, 2467, 779, 513, 2603, 540, 960, 2469, 593, 538, 2362, 2069, 4478, 6940, 269, 1403, 596, 2461, 513, 2875, 945, 779, 5461, 538, 2324, 538, 6940, 5829, 4610, 267, 513, 3395, 1297, 540, 3039, 9945, 2709, 6030, 543, 4110, 3292, 547, 5965, 596, 585, 707, 2104, 4876, 269, 0, 5938, 839, 1831, 11174, 32592, 757, 1813, 547, 3668, 540, 18083, 269, 1879, 789, 1995, 4057, 2804, 2175, 267, 789, 1376, 2502, 538, 519, 4636, 2238, 269, 1358, 949, 1376, 9513, 5061, 610, 21102, 1919, 547, 2087, 741, 2804, 2175, 563, 22117, 532, 19928, 5024, 11790, 1677, 19565, 5548, 22055, 1890, 454, 268, 18648, 3427, 29934, 766, 269, 18648, 1153, 20343, 568, 835, 540, 519, 1283, 2188, 7700, 547, 32592, 1890, 563, 268, 18648, 12409, 11621, 563, 268, 20222, 769, 634, 5851, 563, 268, 20222, 769, 4256, 4317, 19449, 3380, 563, 268, 25398, 16242, 563, 268, 17502, 1470, 11296, 11790, 563, 268, 28548, 18816, 563, 268, 19768, 2986, 26874, 30334, 563, 289, 525, 728, 1657, 267, 1018, 568, 519, 3017, 1063, 513, 11174, 32592, 550, 543, 513, 11174, 1055, 2658, 286, 589, 19565, 5548, 22055, 550, 568, 513, 1126, 936, 476, 278, 267, 855, 896, 476, 1240, 1296, 540, 2085, 630, 324, 8997, 476, 1015, 270, 272, 270, 866, 1070, 945, 862, 1080, 606, 957, 602, 1131, 581, 513, 6760, 952, 621, 1185, 1044, 8149, 676, 606, 2937, 269, 19565, 25476, 267, 945, 616, 476, 1724, 267, 476, 1691, 267, 543, 476, 1428, 1296, 540, 2085, 267, 616, 711, 2808, 19565, 5548, 22055, 757, 269, 19565, 5548, 22055, 757, 798, 711, 723, 7803, 5638, 563, 1103, 713, 6073, 267, 875, 1281, 1153, 1860, 11174, 32592, 1890, 888, 15900, 10728, 2623, 949, 1291, 547, 7965, 538, 519, 4928, 269, 6270, 7965, 267, 538, 2490, 267, 949, 1267, 538, 513, 1126, 779, 8391, 30369, 20241, 689, 3610, 610, 9905, 269, 1452, 267, 538, 2490, 267, 1522, 1267, 538, 32592, 1890, 269, 11524, 723, 3254, 2810, 3928, 540, 32592, 1890, 1739, 1153, 6749, 719, 563, 1692, 1281, 9263, 2604, 1860, 11174, 32592, 1890, 888, 8248, 518, 2604, 5012, 4724, 11174, 32592, 1890, 269, 3212, 619, 1291, 2043, 547, 32696, 538, 7803, 2238, 269, 20390, 30105, 2356, 6108, 811, 942, 609, 9905, 607, 5635, 547, 4079, 269, 634, 2604, 689, 9263, 6140, 5540, 519, 15730, 1377, 563, 1432, 616, 519, 2185, 1292, 2010, 540, 11174, 32592, 1890, 888, 1692, 731, 2142, 14982, 630, 3422, 277, 281, 476, 26297, 268, 4343, 264, 814, 5219, 547, 2185, 2010, 540, 32592, 4293, 281, 630, 320, 264, 1367, 32592, 1890, 267, 630, 321, 264, 1895, 23418, 9285, 32592, 1890, 267, 630, 322, 264, 22555, 32592, 1890, 267, 543, 630, 323, 264, 32638, 32592, 1890, 563, 1432, 616, 1806, 540, 11174, 32592, 1890, 888, 763, 1034, 1455, 1806, 540, 11174, 32592, 1890, 616, 2085, 5829, 10963, 971, 607, 616, 9363, 856, 2250, 1225, 325, 1168, 543, 1854, 3599, 630, 11666, 4240, 5821, 547, 7390, 1153, 1040, 19565, 10963, 666, 2039, 689, 4567, 1055, 5151, 630, 7945, 607, 896, 720, 7296, 1070, 547, 3959, 543, 10795, 10963, 563, 1432, 568, 513, 11174, 32592, 550, 3989, 676, 1876, 888, 15152, 476, 1240, 2475, 5425, 19926, 476, 2004, 274, 272, 610, 519, 8549, 19565, 5548, 22055, 1890, 2920, 267, 2048, 9857, 8736, 32592, 1890, 685, 568, 519, 18670, 540, 513, 1876, 540, 519, 2136, 2276, 267, 8149, 676, 513, 1268, 1991, 547, 1010, 22733, 14512, 799, 1131, 723, 1044, 513, 6760, 952, 8149, 676, 606, 2937, 269, 19565, 32592, 1890, 568, 3622, 2219, 540, 607, 3765, 2041, 8326, 676, 1453, 563, 1432, 616, 519, 4162, 540, 11174, 32592, 1890, 888, 288, 1804, 1297, 540, 1367, 2188, 543, 4162, 814, 1044, 2404, 609, 519, 1646, 540, 11174, 32592, 1890, 269, 1452, 1367, 2188, 1331, 2085, 267, 4008, 267, 8374, 1282, 6379, 543, 6765, 267, 791, 6160, 2032, 267, 26490, 4369, 267, 543, 6219, 946, 563, 1432, 616, 930, 2360, 540, 11174, 32592, 1890, 888, 22546, 338, 540, 19565, 5548, 22055, 1890, 6481, 3790, 6607, 13702, 564, 1813, 547, 10795, 10963, 543, 3075, 6057, 269, 16296, 17403, 543, 642, 663, 16117, 1267, 538, 1164, 3790, 538, 519, 1857, 543, 4357, 5823, 563, 1432, 616, 930, 3435, 547, 11174, 32592, 1890, 888, 763, 1034, 2500, 3292, 585, 11174, 32592, 1890, 6604, 2671, 519, 1739, 1883, 3334, 281, 4065, 269, 28046, 269, 7991, 12833, 9876, 618, 269, 623, 1066, 7614, 543, 5606, 3599, 5851, 6250, 2787, 676, 12502, 525, 269, 9977, 16644, 843, 19983, 9751, 5358, 269, 31421, 10644, 5358, 269, 10644, 15789, 1369, 519, 19565, 10456, 3590, 563, 6701, 3237, 547, 581, 30199, 585, 11174, 32592, 1890, 888, 29261, 3657, 547, 2349, 877, 585, 19565, 5548, 22055, 1890, 269, 3057, 3072, 610, 711, 267, 519, 1126, 3587, 519, 3237, 685, 5539, 16155, 267, 14156, 267, 25432, 267, 543, 9308, 269, 14268, 616, 19142, 606, 7938, 9287, 4579, 547, 2149, 543, 1683, 585, 741, 1126, 267, 2394, 519, 1126, 568, 540, 2085, 267, 547, 798, 865, 1010, 610, 9887, 563, 8005, 568, 11174, 32592, 550, 888, 5629, 713, 4523, 543, 513, 1126, 13788, 519, 7803, 5126, 1062, 267, 789, 949, 581, 16363, 513, 968, 9857, 8736, 32592, 550, 1848, 19565, 32592, 757, 616, 1295, 832, 267, 2356, 3989, 607, 1373, 1063, 519, 6502, 540, 476, 1015, 543, 476, 1240, 267, 945, 723, 8149, 930, 957, 602, 3423, 919, 519, 1876, 563, 3674, 1153, 5821, 3743, 585, 32592, 1890, 888, 17780, 593, 519, 1382, 676, 4966, 267, 621, 666, 581, 24298, 602, 1153, 5821, 568, 3743, 585, 32592, 1890, 982, 6382, 269, 11531, 267, 1053, 945, 723, 513, 20247, 10884, 585, 1153, 610, 723, 8959, 9344, 616, 693, 1981, 540, 8989, 32592, 550, 6411, 563, 1692, 666, 1153, 32592, 1890, 581, 15286, 888, 1103, 2489, 267, 519, 8433, 540, 19565, 10456, 543, 5548, 22055, 1890, 10644, 15565, 602, 519, 1739, 2010, 540, 1153, 543, 2146, 6604, 3292, 581, 6964, 281, 15858, 543, 2623, 2359, 3292, 269, 11638, 16327, 9426, 4928, 2861, 3292, 269, 4317, 16169, 13319, 19593, 592, 4548, 563, 1692, 666, 32592, 1890, 581, 15286, 888, 4407, 972, 616, 1100, 9059, 3435, 585, 7303, 32592, 1890, 267, 1620, 543, 2679, 909, 8825, 2188, 568, 513, 1434, 1747, 547, 1376, 269, 13363, 633, 2188, 616, 7592, 610, 2833, 602, 948, 25559, 1981, 2188, 269, 15272, 6043, 269, 4317, 4448, 1145, 269, 22493, 1489, 269, 15465, 543, 1514, 3929, 16169, 563, 9989, 11174, 32592, 1890, 2569, 3872, 26556, 888, 27832, 942, 6170, 538, 1153, 610, 4974, 786, 267, 593, 3328, 267, 1291, 547, 2539, 4081, 9740, 543, 606, 2038, 14827, 689, 1153, 269, 589, 2417, 7271, 998, 799, 11174, 32592, 1890, 949, 1291, 547, 2038, 1153, 6028, 568, 998, 9263, 2360, 563, 1432, 1909, 1281, 519, 1920, 1404, 538, 11174, 32592, 1890, 888, 293, 7056, 625, 1404, 513, 4105, 1909, 538, 519, 1646, 540, 1453, 543, 6107, 269, 5525, 540, 11174, 32592, 1890, 723, 3254, 602, 519, 1920, 1604, 666, 1459, 607, 2901, 513, 1981, 610, 8825, 3815, 269, 589, 1981, 3815, 568, 513, 8984, 602, 267, 950, 1459, 267, 8992, 519, 10073, 540, 5739, 7180, 630, 324, 3052, 1421, 32592, 1890, 1916, 4692, 476, 1240, 1032, 31545, 979, 547, 21569, 888, 1432, 2085, 666, 594, 979, 547, 7890, 286, 1411, 786, 711, 581, 2366, 547, 606, 2937, 7890, 2394, 596, 616, 9907, 476, 1240, 610, 936, 269, 1717, 267, 513, 1762, 1268, 666, 4019, 547, 979, 547, 606, 2937, 7890, 693, 476, 1626, 952, 789, 616, 7674, 513, 4845, 540, 30969, 269, 0, 19328, 568, 711, 606, 27099, 269, 1924, 267, 621, 3085, 1406, 723, 1022, 2407, 1106, 269, 2560, 634, 2012, 3127, 568, 6508, 689, 519, 2262, 1473, 639, 799, 3294, 6508, 689, 519, 2025, 14655, 2262, 9699, 267, 689, 16130, 590, 785, 16852, 269, 1473, 639, 568, 849, 519, 2012, 540, 513, 5757, 563, 1432, 568, 519, 1483, 2495, 540, 3127, 888, 19328, 269, 3245, 519, 1473, 639, 610, 27734, 267, 513, 14655, 13313, 540, 519, 16130, 590, 785, 16852, 267, 968, 24030, 5757, 1848, 1635, 519, 16380, 713, 5757, 729, 1634, 607, 519, 27734, 267, 799, 609, 519, 14655, 21879, 588, 534, 5795, 519, 2012, 968, 295, 8114, 16330, 892, 547, 519, 2898, 2197, 563, 1432, 568, 2407, 1106, 2012, 888, 785, 1339, 1268, 269, 5769, 9732, 23792, 18780, 269, 15580, 621, 281, 715, 28719, 269, 2817, 5948, 585, 5564, 12734, 4065, 563, 1432, 568, 2407, 1106, 3595, 888, 298, 639, 636, 12943, 476, 276, 3967, 269, 634, 9509, 1106, 540, 674, 296, 3918, 568, 16010, 15928, 1656, 7464, 24529, 267, 610, 674, 296, 3918, 6763, 585, 16010, 15928, 1656, 7464, 24529, 267, 610, 519, 2407, 2012, 540, 2016, 28008, 568, 16010, 15928, 1656, 7464, 24529, 563, 1432, 568, 2407, 1106, 540, 918, 1170, 888, 298, 3041, 306, 269, 18227, 898, 10374, 543, 11822, 269, 11619, 1645, 269, 918, 3041, 306, 269, 5901, 898, 11822, 1299, 21690, 563, 1432, 568, 9509, 845, 540, 2696, 888, 294, 7495, 815, 19087, 267, 9866, 3569, 267, 5940, 2315, 898, 568, 513, 4783, 540, 2470, 563, 1432, 568, 519, 476, 276, 2012, 540, 3127, 888, 19328, 568, 1634, 676, 1082, 4408, 1107, 808, 3711, 644, 933, 788, 320, 267, 1325, 6953, 785, 267, 9699, 16330, 267, 14210, 329, 30884, 267, 589, 787, 822, 21840, 267, 543, 32038, 520, 563, 1432, 729, 3127, 538, 476, 14983, 273, 888, 1103, 476, 14983, 273, 972, 729, 1100, 2197, 1634, 607, 3127, 269, 5502, 602, 2197, 729, 1572, 9699, 16330, 563, 8005, 12199, 3127, 538, 476, 272, 560, 2540, 888, 347, 6924, 1475, 15307, 28344, 618, 540, 519, 918, 2313, 534, 10504, 676, 27173, 329, 3121, 918, 611, 874, 2478, 8198, 347, 4281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1871, 585, 16025, 568, 21407, 676, 8013, 536, 27570, 676, 16025, 18046, 538, 519, 2199, 1858, 269, 634, 23138, 781, 6852, 3483, 568, 547, 2057, 6735, 269, 634, 1297, 540, 536, 1342, 619, 543, 741, 1719, 538, 513, 9042, 666, 581, 6766, 676, 10229, 267, 799, 8309, 547, 6735, 543, 9797, 5540, 519, 3902, 6976, 563, 2252, 596, 21907, 609, 513, 2582, 3617, 23138, 267, 596, 666, 1732, 6023, 3871, 899, 4057, 6990, 267, 8966, 16276, 2175, 267, 543, 7463, 2472, 269, 5620, 513, 1544, 585, 519, 2104, 269, 8092, 14935, 1058, 2253, 4058, 585, 519, 2104, 1134, 538, 4434, 540, 519, 7556, 563, 763, 2702, 547, 1349, 5027, 568, 2629, 547, 519, 1646, 540, 519, 2361, 269, 898, 568, 519, 4358, 1448, 585, 1082, 3156, 269, 634, 2450, 267, 3337, 543, 1599, 540, 519, 5027, 616, 5462, 676, 519, 1259, 621, 568, 19345, 543, 12015, 563, 763, 2165, 29421, 568, 1031, 547, 4766, 1585, 13080, 540, 3574, 1031, 607, 4070, 2326, 269, 634, 29421, 568, 2759, 689, 519, 959, 16218, 540, 4054, 543, 568, 6353, 676, 2348, 14328, 610, 4009, 3444, 6810, 267, 607, 10353, 547, 18635, 610, 7796, 902, 267, 799, 723, 5180, 3444, 6810, 269, 26629, 806, 540, 29421, 602, 616, 17774, 3166, 543, 1287, 3684, 13402, 547, 3132, 513, 1808, 3444, 3296, 531, 3337, 616, 9286, 607, 4806, 29421, 563, 763, 1806, 540, 4806, 29421, 616, 16560, 27724, 267, 11469, 7146, 3766, 549, 913, 32466, 267, 543, 695, 328, 680, 777, 521, 4575, 269, 634, 5001, 2872, 540, 4393, 3574, 2472, 568, 513, 5479, 13362, 2872, 269, 898, 849, 7472, 4070, 29421, 267, 533, 16072, 267, 6775, 4580, 267, 1957, 267, 21312, 267, 2881, 335, 20634, 267, 887, 7562, 267, 20955, 267, 543, 513, 2647, 3099, 540, 4853, 6464, 563, 3725, 11734, 540, 19077, 1756, 689, 20957, 454, 14737, 1968, 20957, 12074, 616, 811, 3407, 982, 6428, 541, 1490, 1149, 1317, 789, 616, 811, 2352, 547, 1569, 269, 634, 1184, 540, 5599, 585, 16864, 666, 2196, 7466, 519, 1942, 540, 1490, 710, 6051, 267, 799, 814, 8329, 547, 922, 4130, 2344, 2671, 269, 13689, 593, 519, 1808, 7777, 16005, 267, 519, 1184, 585, 23232, 16864, 689, 20957, 666, 4268, 269, 0, 5194, 3398, 542, 568, 602, 540, 519, 1004, 945, 5030, 538, 519, 1482, 942, 267, 1247, 26290, 523, 595, 1125, 330, 23083, 513, 8772, 14583, 267, 8204, 513, 1883, 4090, 538, 1686, 476, 272, 563, 763, 1283, 4090, 585, 519, 5053, 1148, 568, 2808, 547, 581, 1282, 519, 476, 1626, 555, 543, 476, 1704, 555, 2540, 267, 7222, 547, 519, 11193, 543, 519, 25724, 267, 6606, 269, 634, 5053, 13642, 6520, 568, 519, 8050, 540, 930, 1390, 14789, 540, 18495, 269, 4256, 4001, 721, 827, 741, 1378, 4641, 267, 827, 741, 1034, 15982, 4555, 267, 1818, 721, 519, 1390, 8956, 540, 4687, 741, 5075, 540, 519, 1158, 563, 763, 7499, 1153, 540, 1530, 341, 8759, 729, 519, 1034, 1271, 538, 8050, 1282, 519, 1101, 3368, 540, 519, 476, 1704, 555, 2540, 267, 13856, 676, 519, 25724, 6891, 267, 865, 1134, 6719, 676, 20653, 5451, 345, 4302, 345, 267, 519, 1034, 1271, 5053, 18048, 540, 519, 25724, 20527, 17763, 4302, 269, 717, 30377, 267, 645, 1075, 675, 26535, 16210, 267, 22478, 3120, 8585, 22941, 324, 28872, 269, 634, 5053, 2486, 540, 519, 476, 1626, 555, 2540, 267, 26195, 1221, 20653, 5451, 345, 4302, 345, 585, 1010, 14547, 2990, 267, 799, 4547, 1864, 1082, 1918, 657, 885, 563, 1103, 1010, 10367, 267, 1034, 540, 873, 23609, 267, 20653, 5451, 345, 4302, 345, 4951, 519, 4641, 540, 519, 5053, 2486, 267, 13856, 676, 14834, 1004, 267, 4547, 693, 5480, 676, 519, 4622, 5128, 269, 634, 17779, 540, 1010, 10367, 729, 267, 1034, 540, 519, 2053, 267, 11566, 269, 634, 4480, 1031, 729, 602, 540, 1769, 543, 12094, 269, 3204, 8973, 519, 2034, 4605, 267, 621, 6799, 513, 1390, 8978, 1719, 563, 1103, 309, 601, 5451, 345, 4302, 345, 32161, 3278, 519, 6429, 1141, 519, 5053, 2489, 11392, 519, 1883, 540, 519, 4884, 689, 519, 3946, 540, 3807, 514, 3854, 324, 632, 561, 1817, 8421, 24809, 647, 23579, 4550, 10172, 715, 817, 879, 267, 519, 7015, 540, 24381, 545, 24926, 540, 2107, 16492, 267, 593, 519, 476, 276, 555, 540, 4873, 12898, 513, 2185, 3923, 26362, 269, 1975, 27713, 7637, 4847, 519, 22482, 7952, 547, 4734, 645, 1042, 320, 267, 5329, 741, 15963, 543, 31372, 693, 519, 19235, 540, 519, 4884, 269, 2991, 2072, 267, 646, 2892, 3176, 519, 10656, 2489, 945, 729, 519, 1101, 547, 1205, 856, 540, 519, 28183, 267, 4553, 676, 1010, 7385, 563, 1103, 5437, 320, 1404, 2854, 676, 2836, 1457, 11252, 632, 3288, 645, 2117, 320, 729, 5340, 693, 28925, 267, 1759, 593, 519, 21704, 540, 645, 1042, 320, 269, 20653, 5451, 345, 4302, 345, 1590, 723, 2938, 519, 1404, 543, 267, 8370, 1296, 2663, 267, 1310, 1082, 2090, 267, 646, 585, 3022, 513, 8978, 7206, 563, 290, 308, 15709, 910, 2398, 2946, 11985, 9835, 525, 8278, 3421, 31839, 320, 2478, 281, 15776, 803, 4068, 2720, 9835, 525, 8278, 3421, 546, 685, 28808, 2946, 22448, 2720, 454, 4002, 5458, 17198, 267, 519, 6370, 2361, 5526, 267, 2407, 540, 8673, 267, 12269, 543, 20747, 269, 2201, 1142, 2427, 540, 519, 7206, 267, 972, 616, 8370, 5515, 281, 519, 10656, 593, 519, 2451, 267, 543, 519, 5053, 267, 593, 519, 1318, 563, 299, 525, 4409, 6346, 1875, 14369, 1612, 4425, 17010, 521, 2632, 2781, 5060, 26982, 23816, 550, 3288, 9015, 29629, 12578, 632, 3288, 9056, 566, 964, 20375, 2351, 2294, 2433, 910, 18060, 597, 682, 4779, 1231, 2009, 1147, 3288, 6219, 606, 857, 26413, 282, 910, 2261, 20960, 3288, 562, 537, 767, 548, 11746, 1612, 964, 1202, 18587, 1696, 267, 1147, 339, 719, 267, 1612, 11552, 886, 5270, 632, 2511, 1696, 632, 1319, 686, 14513, 282, 910, 2463, 518, 512, 719, 525, 8350, 7148, 525, 26982, 1286, 716, 5142, 550, 682, 1612, 322, 2293, 632, 561, 323, 12715, 546, 753, 682, 1661, 1186, 1696, 267, 546, 753, 682, 8732, 632, 561, 3916, 1588, 632, 5909, 1622, 561, 906, 606, 857, 839, 267, 8350, 929, 338, 13996, 282, 910, 1175, 8595, 682, 1781, 1460, 5918, 1826, 546, 5793, 3685, 282, 679, 2958, 626, 17243, 512, 719, 525, 8350, 7148, 525, 1271, 525, 5918, 669, 656, 1512, 1696, 8350, 1362, 518, 269, 19999, 745, 4425, 17010, 267, 4943, 520, 632, 9894, 1258, 267, 15224, 25279, 818, 327, 3538, 517, 823, 267, 693, 9629, 524, 526, 513, 3456, 3087, 520, 314, 538, 4186, 652, 8494, 683, 806, 10028, 320, 632, 513, 18060, 328, 607, 1575, 571, 561, 528, 267, 1726, 25975, 773, 544, 2967, 2554, 4599, 314, 521, 314, 535, 773, 19597, 622, 546, 624, 1065, 26147, 267, 544, 2967, 2554, 4599, 314, 1065, 26147, 546, 624, 9056, 622, 267, 859, 527, 526, 24140, 2781, 320, 544, 2967, 544, 732, 17680, 329, 314, 740, 314, 1872, 597, 850, 1775, 22058, 314, 686, 548, 521, 563, 763, 1895, 540, 519, 17204, 3283, 568, 6913, 609, 513, 8273, 3099, 540, 1769, 543, 2681, 269, 634, 5053, 616, 811, 17715, 543, 10427, 269, 7324, 519, 21318, 540, 5515, 267, 1142, 835, 540, 873, 25191, 676, 519, 1259, 621, 729, 13556, 267, 621, 568, 5156, 602, 519, 4137, 540, 519, 18048, 849, 5526, 593, 519, 17198, 563, 3080, 540, 519, 1034, 1271, 2609, 540, 519, 7206, 616, 519, 476, 2764, 561, 1734, 267, 1152, 2185, 540, 873, 1373, 18761, 269, 634, 3068, 540, 8050, 267, 570, 2444, 1156, 28872, 269, 3509, 1919, 723, 1044, 2854, 593, 1810, 17630, 20653, 5451, 345, 4302, 345, 632, 8125, 9366, 269, 13067, 720, 593, 519, 3791, 16683, 540, 1010, 2669, 2421, 519, 17630, 20653, 5451, 345, 4302, 345, 4659, 540, 28925, 269, 634, 1390, 18048, 5747, 593, 519, 476, 278, 555, 540, 4864, 7424, 9788, 856, 538, 519, 1325, 322, 5451, 345, 541, 267, 20386, 538, 1010, 25136, 540, 519, 1931, 540, 16114, 328, 6210, 563, 3891, 729, 12617, 1282, 519, 3781, 693, 519, 5842, 20844, 645, 2246, 16695, 5939, 267, 538, 519, 4527, 540, 1082, 10424, 14064, 527, 2456, 269, 3571, 7385, 267, 4236, 3570, 623, 5995, 1723, 267, 15068, 1864, 1152, 585, 513, 3018, 543, 729, 12617, 1985, 547, 1864, 563, 1103, 845, 725, 5918, 3561, 454, 9213, 267, 972, 568, 1100, 10250, 2451, 540, 519, 5939, 610, 519, 19772, 540, 1810, 17630, 269, 1809, 1010, 960, 1705, 7639, 269, 9320, 267, 602, 568, 519, 2601, 1946, 1010, 1568, 616, 2407, 540, 971, 2609, 267, 2901, 649, 3277, 547, 1010, 12416, 610, 1010, 9954, 269, 3204, 8973, 519, 8978, 2621, 700, 2100, 19443, 1282, 1010, 476, 10463, 1296, 540, 1272, 267, 789, 941, 865, 1082, 267, 971, 607, 519, 14789, 602, 941, 4207, 547, 1864, 563, 5319, 21129, 267, 3288, 595, 5746, 29052, 3136, 20221, 15646, 1721, 1356, 5067, 678, 20110, 548, 1089, 550, 1408, 546, 753, 682, 26955, 321, 520, 1857, 267, 711, 600, 618, 20221, 21986, 1094, 7589, 20221, 3213, 8932, 388, 505, 807, 19999, 745, 1546, 345, 14179, 339, 19327, 7931, 5889, 22448, 328, 267, 21645, 1714, 548, 26924, 3288, 929, 15530, 2064, 1244, 7572, 5104, 32576, 335, 712, 476, 277, 4779, 529, 269, 9919, 911, 341, 841, 829, 5471, 632, 1292, 1084, 597, 796, 5188, 513, 11355, 682, 575, 23662, 928, 618, 1147, 682, 521, 719, 1329, 20527, 1595, 1664, 1696, 3288, 882, 766, 269, 11010, 2781, 328, 632, 1509, 321, 686, 513, 328, 521, 26324, 328, 267, 595, 5746, 29052, 513, 632, 1597, 527, 4230, 26324, 17844, 796, 954, 32643, 12460, 1965, 523, 388, 505, 658, 267, 3841, 756, 559, 476, 388, 503, 328, 10841, 738, 520, 3331, 362, 333, 17012, 388, 505, 320, 476, 388, 503, 328, 7931, 5889, 11844, 267, 3331, 362, 333, 524, 2465, 320, 2781, 929, 633, 388, 503, 974, 882, 320, 388, 505, 328, 850, 635, 518, 1017, 324, 21536, 831, 1446, 267, 29593, 476, 388, 503, 328, 522, 1128, 534, 388, 505, 26324, 632, 1065, 30959, 550, 732, 513, 635, 22780, 26324, 388, 505, 4512, 632, 7192, 27468, 328, 563, 763, 1974, 950, 700, 2100, 5030, 568, 835, 540, 1390, 15496, 585, 519, 2686, 543, 5289, 1272, 540, 8050, 269, 8585, 577, 663, 1047, 689, 782, 1472, 519, 1158, 8452, 693, 519, 5053, 5480, 267, 2835, 689, 7977, 543, 1234, 388, 505, 23176, 632, 3331, 362, 978, 686, 329, 790, 513, 533, 1408, 4512, 632, 8732, 26324, 4550, 268, 383, 362, 3387, 26324, 13700, 5889, 333, 790, 267, 1053, 689, 6428, 600, 4545, 320, 267, 519, 9510, 6280, 538, 8050, 543, 8772, 540, 2342, 543, 1325, 5632, 5451, 632, 7009, 4100, 267, 26719, 689, 519, 3162, 563, 1103, 3854, 324, 632, 561, 1817, 8421, 24809, 647, 23579, 4550, 10172, 267, 950, 700, 2100, 729, 1869, 513, 1126, 267, 519, 1568, 540, 519, 7027, 540, 570, 1370, 334, 3357, 547, 606, 1439, 267, 9591, 519, 5289, 2915, 2742, 540, 519, 5053, 1272, 563, 4504, 1877, 729, 519, 18326, 540, 519, 7720, 832, 689, 1325, 30298, 329, 1551, 553, 543, 700, 2100, 786, 7747, 519, 7772, 538, 1010, 1378, 1753, 1884, 540, 1010, 12543, 585, 519, 25954, 540, 519, 26532, 638, 16695, 269, 2271, 515, 19036, 5213, 24883, 543, 15596, 1772, 8475, 548, 540, 4406, 12251, 267, 5747, 269, 2311, 519, 2085, 540, 8370, 267, 700, 2100, 4862, 519, 1101, 2984, 827, 519, 24123, 6370, 540, 700, 788, 27053, 269, 769, 293, 3757, 322, 8646, 632, 6581, 1386, 334, 267, 835, 540, 519, 1034, 1271, 4589, 540, 519, 3209, 5055, 533, 3821, 637, 8619, 267, 729, 4535, 563, 2691, 700, 2100, 729, 476, 3374, 267, 519, 1390, 10564, 22513, 18372, 632, 4173, 516, 571, 267, 5747, 269, 769, 309, 601, 5451, 345, 4302, 345, 729, 4535, 269, 769, 18485, 4432, 13983, 1723, 543, 595, 969, 656, 525, 5884, 269, 769, 299, 2100, 3576, 851, 693, 519, 2112, 1996, 4789, 267, 2059, 609, 519, 12833, 4532, 1043, 14022, 3385, 269, 769, 28846, 594, 540, 4789, 3357, 547, 8050, 267, 1927, 609, 519, 5918, 651, 540, 21207, 532, 5069, 267, 3168, 585, 513, 7385, 269, 769, 21545, 1872, 531, 9674, 689, 8050, 563, 1103, 1010, 1568, 267, 700, 2100, 1705, 711, 1152, 2911, 827, 519, 8978, 23339, 602, 3769, 1864, 2047, 610, 711, 267, 855, 849, 827, 519, 2442, 905, 6814, 267, 519, 1259, 875, 519, 1004, 540, 28925, 10150, 13032, 325, 2074, 543, 3909, 535, 5006, 553, 269, 2290, 540, 519, 4099, 3197, 540, 700 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3478, 538, 593, 782, 540, 519, 1187, 543, 1728, 701, 540, 31733, 781, 14232, 1412, 13510, 12310, 281, 7736, 18524, 262, 543, 922, 5063, 5950, 751, 6471, 911, 8814, 267, 609, 519, 2475, 2230, 8116, 11362, 538, 543, 23831, 513, 1688, 5356, 5796, 593, 875, 547, 4688, 513, 18843, 539, 25414, 853, 1046, 563, 1103, 519, 2997, 12310, 281, 7736, 18524, 911, 8814, 267, 853, 1046, 568, 18843, 539, 593, 519, 6928, 543, 3081, 646, 814, 2473, 18958, 540, 5135, 2451, 269, 8331, 781, 1514, 2923, 2272, 568, 593, 3595, 1318, 1631, 267, 17408, 7566, 856, 547, 31733, 827, 25414, 853, 1046, 267, 1141, 789, 1767, 281, 834, 20756, 7711, 11321, 767, 267, 649, 4862, 827, 25414, 853, 1046, 269, 1306, 649, 917, 267, 519, 1101, 3364, 596, 1058, 798, 568, 6432, 538, 5692, 1852, 585, 834, 287, 13510, 12310, 267, 649, 723, 513, 1966, 1701, 1809, 952, 646, 666, 1405, 5968, 267, 1287, 649, 4363, 2666, 6887, 946, 782, 2200, 547, 11571, 519, 22839, 585, 707, 7508, 812, 8487, 7343, 3285, 622, 1022, 948, 596, 666, 1683, 9462, 503, 493, 1765, 31733, 2289, 3930, 31822, 11321, 767, 6597, 3930, 264, 5412, 476, 1015, 267, 476, 1001, 279, 454, 289, 21392, 2943, 267, 538, 519, 3845, 596, 666, 1294, 835, 540, 519, 964, 802, 693, 8331, 814, 513, 1129, 593, 519, 11380, 602, 14509, 1412, 8025, 3036, 262, 609, 513, 2370, 17200, 543, 513, 2475, 9206, 593, 621, 269, 901, 568, 513, 8799, 5905, 855, 711, 14330, 308, 5829, 267, 607, 8331, 6045, 538, 513, 1246, 5346, 512, 11548, 281, 834, 763, 8946, 1069, 531, 15051, 543, 12754, 630, 8025, 3036, 264, 11464, 568, 5963, 835, 540, 17030, 6513, 781, 1522, 5006, 12325, 269, 1358, 2327, 519, 5106, 540, 2789, 7711, 22129, 318, 1805, 566, 1016, 17882, 338, 799, 2445, 267, 15814, 1299, 7947, 3002, 689, 2565, 3937, 543, 31139, 338, 585, 519, 1967, 540, 519, 5692, 8487, 304, 783, 5570, 20764, 999, 814, 1175, 9307, 513, 1269, 1911, 2929, 5092, 883, 519, 2104, 540, 5841, 4987, 267, 609, 519, 9746, 14679, 3854, 6186, 540, 519, 10965, 777, 323, 16400, 9649, 8380, 519, 12238, 660, 2280, 1524, 593, 3642, 563, 4407, 1034, 824, 3549, 616, 2324, 593, 3642, 602, 18795, 538, 519, 6531, 267, 19120, 5570, 568, 3478, 1919, 2324, 6251, 547, 1753, 281, 593, 11546, 341, 823, 3642, 269, 19120, 5570, 786, 581, 1210, 922, 1269, 1911, 2929, 5092, 547, 2285, 30596, 7616, 585, 593, 11546, 341, 823, 3642, 602, 8255, 593, 519, 4890, 3926, 267, 2436, 621, 581, 513, 16335, 610, 513, 1582, 28391, 1286, 267, 8957, 519, 6531, 269, 634, 2104, 540, 3642, 3884, 1405, 538, 519, 6531, 2687, 547, 19120, 5570, 267, 855, 2864, 593, 11546, 341, 823, 3642, 563, 2704, 6975, 15651, 267, 19120, 5570, 20971, 10615, 267, 6045, 281, 834, 9213, 781, 3642, 4393, 568, 1360, 1939, 14260, 14021, 269, 1879, 596, 2811, 6158, 547, 5981, 320, 267, 4986, 568, 9268, 593, 707, 3926, 267, 621, 4991, 3144, 547, 519, 6531, 543, 4991, 9379, 684, 3481, 972, 269, 1703, 616, 513, 1906, 2042, 609, 602, 910, 2773, 14016, 919, 267, 621, 27499, 513, 2603, 540, 19961, 543, 972, 616, 7834, 2152, 269, 5994, 596, 723, 606, 5981, 320, 602, 568, 811, 4357, 543, 3593, 7888, 267, 596, 2307, 519, 2055, 543, 666, 1205, 519, 4267, 14678, 269, 898, 3085, 1405, 1491, 519, 5180, 7552, 782, 519, 1259, 547, 519, 6531, 8487, 14976, 517, 30073, 568, 2944, 609, 713, 4541, 621, 4667, 267, 609, 519, 6611, 311, 543, 23592, 13653, 6031, 972, 568, 513, 476, 3583, 260, 4960, 646, 3513, 979, 547, 9370, 267, 1945, 646, 5063, 1767, 538, 606, 5967, 585, 519, 589, 3495, 657, 593, 670, 19447, 17245, 3126, 563, 763, 1483, 1272, 25414, 853, 1046, 3773, 602, 6028, 585, 9370, 4465, 1405, 581, 606, 834, 525, 3874, 1544, 585, 519, 3638, 257, 538, 922, 1699, 1106, 267, 1141, 646, 1767, 519, 6725, 8095, 593, 513, 9370, 7552, 1131, 581, 834, 3697, 1744, 871, 13987, 781, 740, 585, 2469, 547, 519, 21303, 257, 543, 896, 20040, 519, 1249, 602, 21409, 547, 519, 3162, 24504, 7012, 1405, 606, 2653, 835, 269, 898, 9327, 1405, 581, 513, 2656, 3460, 267, 6862, 1131, 621, 581, 6899, 267, 543, 596, 9364, 723, 547, 4647, 707, 28923, 1543, 22356, 1317, 594, 4312, 4862, 789, 1810, 1405, 723, 1390, 15261, 19712, 593, 9370, 563, 15404, 330, 1767, 519, 942, 6170, 593, 9370, 538, 519, 1101, 1296, 1131, 581, 9591, 13279, 543, 3695, 519, 4414, 14136, 543, 922, 10792, 2175, 267, 513, 4161, 602, 1131, 581, 585, 519, 1034, 851, 267, 513, 835, 17574, 3460, 269, 25175, 2469, 547, 9370, 538, 519, 1101, 1906, 15143, 9327, 1405, 581, 4947, 1394, 267, 543, 952, 789, 15068, 519, 15143, 972, 519, 3460, 1394, 1131, 2141, 581, 513, 6161, 269, 898, 1131, 581, 519, 1985, 24932, 2290, 9540, 5153, 1280, 2494, 267, 2290, 27951, 2274, 777, 1280, 631, 1678, 785, 4090, 1862, 1945, 602, 7899, 540, 1004, 1131, 1129, 909, 14678, 267, 609, 1100, 646, 560, 2787, 563, 22129, 311, 16628, 543, 23592, 13653, 4432, 517, 30073, 814, 9307, 602, 519, 1101, 4357, 6075, 547, 11878, 1472, 519, 9855, 593, 6611, 311, 781, 1007, 13777, 22618, 15177, 281, 519, 8262, 24415, 935, 9412, 564, 630, 289, 15709, 1040, 634, 1268, 538, 2243, 568, 5545, 5479, 18311, 543, 13653, 540, 2098, 9926, 582, 1144, 267, 3567, 781, 4102, 2228, 7802, 10685, 518, 267, 962, 639, 27495, 631, 2801, 345, 11867, 563, 300, 2801, 345, 11867, 786, 581, 15191, 1154, 1055, 547, 519, 9855, 3330, 540, 6611, 311, 781, 1007, 645, 15709, 28069, 538, 476, 1708, 274, 538, 606, 1148, 1788, 1572, 1948, 323, 792, 300, 3019, 267, 1141, 646, 786, 1491, 5159, 593, 519, 7552, 609, 1864, 267, 543, 1287, 2307, 873, 547, 1711, 4773, 540, 1148, 602, 786, 8300, 519, 1480, 5198, 2899, 789, 1205, 1394, 269, 631, 2801, 345, 11867, 1767, 281, 834, 7661, 267, 594, 666, 2995, 596, 602, 594, 3442, 547, 979, 547, 519, 9855, 256, 594, 3442, 547, 979, 547, 519, 7599, 609, 5159, 30882, 300, 2801, 345, 11867, 834, 321, 4454, 782, 519, 16295, 257, 593, 519, 645, 15709, 543, 786, 581, 3168, 585, 476, 277, 268, 279, 5159, 689, 513, 5180, 519, 1158, 547, 1491, 519, 3018, 2000, 821, 7552, 547, 519, 9855, 543, 1394, 269, 1261, 6941, 281, 834, 296, 1131, 899, 547, 16436, 3670, 547, 5216, 5159, 689, 1472, 519, 1158, 547, 6443, 803, 593, 713, 5692, 547, 519, 9855, 269, 1452, 5159, 786, 581, 4280, 547, 1711, 1945, 1310, 789, 2132, 547, 3047, 267, 543, 891, 25704, 786, 8300, 519, 5326, 518, 1369, 782, 540, 721, 8487, 290, 10087, 4211, 7637, 568, 3168, 883, 15267, 19899, 4310, 10425, 267, 513, 1007, 2344, 602, 789, 1223, 3533, 20441, 609, 519, 3656, 1436, 540, 17089, 10825, 2429, 519, 1158, 267, 4849, 538, 5245, 1141, 24035, 518, 8496, 1145, 4249, 476, 2190, 270, 278, 538, 782, 2229, 13646, 563, 8042, 301, 25204, 6199, 5359, 602, 595, 10087, 4211, 7637, 568, 834, 514, 12909, 257, 609, 8225, 17089, 16073, 29457, 7702, 2052, 10109, 529, 267, 609, 595, 10087, 4211, 7637, 22557, 2006, 13573, 8092, 619, 10213, 25204, 6199, 5240, 281, 834, 26589, 609, 1082, 1866, 538, 519, 20892, 2872, 267, 649, 616, 5702, 8384, 519, 2208, 540, 1875, 268, 10043, 11155, 5562, 14055, 607, 606, 12146, 538, 6198, 9716, 16098, 1472, 519, 1158, 269, 634, 2230, 568, 9687, 3533, 269, 3143, 3664, 723, 1044, 1500, 693, 713, 942, 2668, 634, 1079, 3549, 616, 538, 834, 338, 518, 1190, 12909, 257, 609, 1142, 824, 2687, 547, 519, 2959, 269, 634, 15267, 19899, 4310, 4235, 1131, 834, 324, 848, 6553, 267, 1928, 267, 543, 16081, 4771, 8487, 288, 584, 7702, 22557, 30513, 1261, 1430, 5839, 294, 2958, 528, 5143, 645, 13585, 25204, 6199, 602, 519, 2754, 568, 3168, 693, 519, 29689, 1532, 1197, 720, 2344, 543, 814, 4566, 585, 2472, 538, 602, 2344, 267, 855, 9327, 1405, 6085, 593, 519, 1625, 19959, 4308, 609, 595, 10087, 4211, 7637, 269, 5839, 294, 2958, 528, 1767, 281, 834, 2026, 513, 4341, 267, 649, 798, 711, 1865, 1870, 1646, 7341, 2394, 789, 616, 3803, 1242, 267, 2705, 649, 723, 513, 5539, 547, 938, 23265, 547, 2285, 1697, 7156, 547, 782, 4143, 3255, 602, 616, 4843, 8487, 2252, 596, 616, 538, 991, 540, 513, 1804, 13297, 540, 7482, 267, 596, 666, 2141, 2322, 707, 3043, 10359, 593, 543, 960, 1945, 856, 585, 8331, 538, 741, 9241, 268, 2335, 6407, 2910, 273, 23586, 7420, 563, 22498, 781, 1007, 2910, 273, 23586, 7420, 786, 1294, 513, 2319, 540, 3744, 543, 31132, 3605, 513, 1259, 547, 6460, 2910, 273, 883, 6675, 602, 666, 581, 1031, 547, 3132, 1082, 824, 1919, 1862, 952, 713, 6602, 4523, 267, 972, 786, 581, 513, 16771, 945, 3813, 999, 513, 5458, 1269, 16020, 267, 1822, 563, 763, 3355, 1445, 8331, 814, 593, 519, 2910, 273, 23586, 7420, 568, 585, 6887, 547, 6460, 2910, 273, 547, 3794, 26651, 267, 538, 1022, 1259, 789, 666, 269, 8331, 6941, 281, 834, 20055, 721, 3605, 2081, 547, 1020, 3209, 10282, 4066, 602, 946, 3327, 8166, 630, 4596, 273, 264, 607, 519, 6852, 3327, 2707, 547, 5352, 6675, 602, 666, 581, 1031, 547, 5478, 513, 3099, 540, 2472, 267, 1519, 834, 11357, 1598, 919, 257, 585, 946, 538, 15451, 1979, 648, 716, 832, 2668, 0, 763, 6476, 1900, 661, 476, 6321, 568, 4553, 676, 513, 9819, 1900, 661, 476, 6872, 585, 12719, 519, 12381, 547, 581, 1500, 547, 519, 32649, 8301, 5365, 607, 513, 1599, 540, 519, 6592, 2203, 269, 1133, 15905, 2290, 28233, 24822, 543, 811, 269, 6396, 543, 17102, 585, 9633, 532, 796, 11499, 9259, 538, 10991, 4633, 1210, 513, 20533, 2825, 1198, 269, 1452, 12381, 616, 4294, 676, 2949, 13128, 2744, 1852, 547, 12189, 519, 22621, 8301, 5365, 538, 513, 14842, 1900, 661, 1452, 13838, 616, 19040, 538, 476, 275, 2010, 540, 5751, 13093, 2045, 267, 2489, 267, 21044, 267, 1863, 4633, 269, 769, 713, 1505, 540, 7900, 513, 5152, 267, 513, 23363, 1900, 661, 476, 8618, 666, 581, 13401, 1354, 7900, 513, 5152, 269, 5192, 547, 5700, 2974, 563, 347, 14630, 1520, 4765, 10573, 278, 5988, 476, 1001, 271, 2008, 347, 17572, 12025, 10573, 4510, 269, 1015, 25253, 2008, 347, 23330, 908, 7010, 10573, 20360, 3298, 24857, 270, 1220, 271, 270, 311, 303, 270, 1220, 274, 270, 1220, 274, 270, 278, 270, 279, 270, 1015, 5839, 5308, 476, 1015, 270, 311, 2008, 347, 25820, 10573, 10403, 265, 1496, 265, 10403, 3204, 338, 527, 1674, 22490, 316, 2008, 2304, 8301, 10784, 29396, 23363, 1505, 2687, 547, 2901, 3409, 476, 274, 30726, 1242, 538, 602, 519, 2039, 540, 2912, 1043, 12451, 568, 5258, 883, 693, 2547, 476, 2004, 4908, 13164, 269, 5678, 1565, 1982, 543, 2780, 28505, 521, 14588, 539, 1782, 7699, 5420, 2348, 519, 1482, 269, 18329, 7574, 17102, 585, 13754, 1944, 13047, 4992, 1210, 3898, 3280, 10282, 2553, 563, 1103, 713, 11601, 1900, 661, 476, 1724, 534, 32649, 8301, 5365, 19501, 676, 519, 1641, 590, 568, 1990, 32497, 1782, 7699, 909, 3842, 513, 28416, 267, 585, 1383, 269, 634, 19706, 2079, 1900, 661, 476, 1428, 568, 2147, 547, 602, 5892, 4330, 585, 519, 8301, 5365, 547, 581, 708, 18469, 267, 543, 23607, 519, 8515, 540, 519, 8301, 5365, 16626, 538, 713, 1259, 689, 519, 1641, 590, 936, 513, 3126, 540, 4908, 13164, 563, 2026, 3254, 538, 16658, 563, 4785, 1220, 4335, 278, 6078, 3953, 288, 272, 1107, 6396, 540, 8301, 10784, 29396, 23363, 1107, 5616, 4793, 757, 454, 7628, 519, 4730, 540, 513, 5152, 267, 519, 3758, 5627, 1152, 519, 9311, 2939, 568, 10480, 547, 519, 1641, 590, 3842, 519, 24582, 543, 30069, 269, 4340, 547, 9053, 2934, 540, 519, 8798, 267, 519, 1657, 23363, 1505, 2417, 2882, 513, 1900, 540, 13936, 519, 19706, 2079, 540, 519, 2203, 8301, 5365, 547, 581, 708, 18469, 269, 19255, 321, 641, 5071, 518, 22960, 4858, 2738, 269, 634, 8515, 1808, 547, 1142, 540, 519, 4908, 13164, 9916, 568, 6027, 538, 519, 2079, 1900, 661, 769, 519, 2013, 540, 513, 4914, 1893, 267, 713, 8301, 5365, 666, 581, 513, 2262, 610, 513, 1305, 540, 1913, 14733, 676, 513, 5065, 10584, 540, 519, 1893, 1373, 6594, 563, 309, 7860, 17726, 1782, 7699, 281, 3301, 547, 7520, 1893, 1565, 454, 2026, 5892, 267, 713, 3280, 3758, 666, 581, 6740, 593, 513, 2182, 12210, 540, 513, 2780 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 293, 16971, 543, 8776, 637, 26463, 29474, 454, 31995, 16200, 4858, 1231, 281, 1107, 606, 7317, 32367, 1031, 538, 6552, 26146, 609, 16971, 3885, 270, 10919, 885, 454, 1103, 476, 1001, 275, 267, 715, 6549, 320, 3812, 513, 15520, 3617, 543, 7317, 4199, 547, 1628, 2038, 2634, 1646, 1702, 543, 1983, 269, 901, 4199, 267, 19663, 16200, 4858, 1231, 630, 14899, 289, 1070, 729, 2919, 1739, 15360, 609, 811, 982, 476, 4968, 16971, 543, 8776, 637, 26463, 29474, 3885, 4882, 16291, 7426, 689, 2066, 6237, 543, 23195, 5375, 5245, 563, 763, 717, 306, 289, 32367, 568, 606, 7317, 267, 15520, 3617, 4199, 602, 8992, 4656, 543, 1620, 540, 2038, 2634, 1646, 2257, 840, 1532, 9500, 543, 538, 519, 2038, 1296, 540, 513, 1126, 779, 1272, 269, 24623, 547, 2743, 2199, 2115, 267, 621, 11942, 543, 25040, 1565, 1369, 513, 15520, 2922, 2796, 269, 634, 6388, 540, 519, 717, 306, 289, 32367, 1788, 5059, 593, 281, 2178, 12352, 609, 3028, 7426, 543, 2199, 2146, 2516, 282, 6278, 543, 2679, 3347, 609, 2199, 2950, 543, 3885, 282, 3028, 6765, 693, 513, 6371, 3597, 1377, 282, 543, 2679, 2199, 23594, 543, 4390, 547, 960, 609, 519, 717, 306, 289, 32367, 1369, 2950, 563, 7628, 476, 1001, 277, 519, 19663, 16200, 4858, 1231, 630, 14899, 289, 264, 32367, 729, 8045, 543, 11117, 2066, 519, 7108, 26753, 3148, 547, 12681, 922, 7145, 585, 2810, 1702, 543, 1620, 538, 2199, 16971, 2950, 540, 2038, 2634, 1646, 269, 634, 2164, 540, 519, 1788, 8612, 602, 2949, 715, 6549, 320, 6913, 519, 6859, 799, 723, 3177, 4681, 543, 7840, 585, 2417, 1489, 543, 6388, 540, 519, 717, 306, 289, 32367, 538, 5375, 5245, 563, 3086, 538, 476, 1001, 279, 267, 715, 6549, 320, 814, 2417, 7616, 543, 568, 7598, 519, 6304, 538, 519, 2961, 333, 541, 341, 517, 2146, 1210, 513, 2146, 2861, 29355, 2962, 1382, 12191, 563, 763, 6881, 786, 1445, 593, 875, 519, 32367, 729, 2919, 267, 6268, 4681, 543, 3838, 1451, 902, 547, 4266, 267, 799, 723, 519, 1761, 547, 1217, 824, 15520, 3617, 543, 2500, 10319, 7459, 547, 3035, 6099, 4093, 585, 16971, 1453, 543, 3885, 563, 14976, 12578, 568, 10615, 3194, 693, 715, 6549, 320, 267, 630, 8001, 532, 543, 2038, 6689, 2533, 1070, 711, 585, 7443, 13539, 538, 3131, 628, 267, 26146, 269, 3683, 519, 2250, 8717, 4432, 12578, 814, 2919, 543, 1185, 23388, 540, 519, 715, 6549, 320, 1382, 16786, 543, 814, 4646, 1082, 2178, 3347, 609, 2160, 4891, 269, 4432, 12578, 779, 1883, 1445, 568, 593, 6037, 1049, 1382, 269, 0, 292, 7034, 4596, 10676, 5713, 5215, 540, 8021, 609, 14167, 3594, 267, 4930, 543, 824, 1543, 1519, 6869, 25978, 20767, 326, 19213, 781, 595, 23147, 564, 1127, 2480, 1026, 754, 328, 23620, 538, 269, 5192, 1569, 547, 936, 476, 1321, 2929, 824, 4930, 256, 10749, 543, 9880, 593, 6869, 25978, 12756, 20767, 326, 19213, 11879, 10749, 269, 1323, 5811, 540, 7323, 20767, 326, 19213, 781, 674, 1157, 12116, 20767, 326, 19213, 781, 2110, 1650, 595, 23147, 564, 1127, 2480, 1026, 754, 328, 14174, 304, 281, 4937, 5999, 6168, 2480, 1026, 754, 328, 581, 621, 513, 6725, 1867, 610, 606, 2079, 540, 5092, 3255, 563, 306, 4933, 754, 328, 2501, 689, 513, 5824, 8360, 267, 524, 23147, 564, 1127, 31163, 754, 328, 267, 799, 1797, 257, 519, 20882, 547, 2328, 269, 834, 7982, 547, 14174, 304, 5851, 6796, 595, 20975, 2296, 607, 513, 5822, 5678, 11872, 25453, 22031, 14315, 7705, 11427, 563, 290, 712, 1633, 257, 595, 23147, 564, 1127, 2480, 1026, 754, 328, 257, 676, 21965, 12756, 20767, 326, 19213, 630, 653, 476, 26116, 264, 22335, 269, 18004, 538, 14351, 8822, 267, 10790, 593, 476, 2764, 5412, 476, 9965, 280, 20767, 326, 19213, 595, 23147, 564, 1127, 2480, 1026, 754, 328, 7335, 11872, 269, 634, 8498, 540, 670, 269, 3143, 1762, 2367, 282, 2353, 2021, 282, 634, 2021, 2661, 899, 715, 7419, 306, 282, 589, 1880, 3170, 1275, 8288, 936, 713, 13991, 1747, 1169, 2021, 729, 513, 30612, 610, 513, 30823, 523, 595, 23147, 564, 1127, 31163, 754, 328, 2079, 1557, 3811, 1557, 1603, 3377, 6752, 1382, 4574, 3382, 2985, 29827, 11634, 332, 747, 1557, 888, 18528, 5166, 10764, 543, 741, 4978, 1557, 1382, 1957, 593, 16080, 25703, 23407, 3009, 1018, 568, 513, 1434, 25759, 4845, 538, 606, 1557, 12819, 1557, 827, 552, 30984, 7521, 2110, 1557, 3096, 543, 28407, 540, 18371, 1143, 538, 519, 9036, 3594, 9158, 773, 1557, 6632, 339, 321, 1168, 518, 2125, 516, 19816, 524, 23147, 564, 1127, 31163, 754, 328, 2079, 1557, 563, 842, 3174, 540, 1434, 1557, 7292, 7130, 538, 3506, 1557, 18454, 543, 14286, 540, 16646, 3594, 2156, 1188, 6960, 1557, 5026, 1382, 1957, 737, 525, 6409, 269, 0, 2690, 3236, 267, 7988, 550, 2044, 949, 581, 1634, 676, 519, 588, 8962, 1373, 28489, 344, 267, 711, 21536, 1190, 610, 1216, 344, 267, 543, 1419, 1792, 8898, 609, 1973, 269, 4329, 267, 891, 17355, 340, 725, 616, 3622, 6404, 609, 13980, 540, 1455, 22454, 267, 543, 538, 519, 11996, 540, 17680, 4771, 267, 972, 568, 811, 610, 1447, 540, 513, 3586, 1928, 827, 519, 12806, 269, 1452, 2589, 267, 1927, 609, 519, 9000, 540, 16081, 335, 543, 838, 11047, 267, 786, 581, 513, 6190, 3391, 547, 10646, 519, 2068, 540, 7988, 550, 2044, 689, 602, 540, 26601, 5028, 563, 1103, 932, 4301, 267, 543, 3226, 538, 519, 18048, 781, 669, 4301, 267, 621, 568, 3020, 602, 972, 568, 4749, 513, 2941, 1190, 13481, 540, 23925, 267, 1247, 519, 6367, 1564, 620, 269, 18467, 2611, 6188, 514, 2299, 1942, 633, 4986, 8726, 666, 581, 1500, 547, 1780, 676, 22454, 282, 543, 713, 11495, 25896, 786, 6488, 513, 10058, 1665, 1063, 519, 669, 4301, 543, 519, 26601, 5028, 269, 0, 3891, 11119, 11706, 301, 12078, 10601, 12355, 11706, 269, 15718, 541, 589, 1075, 320, 8057, 13110, 540, 782, 713, 543, 4956, 547, 2951, 4805, 269, 1284, 666, 8263, 602, 891, 22221, 2099, 519, 22225, 540, 519, 11706, 269, 898, 568, 1869, 711, 1634, 267, 2436, 713, 3017, 729, 540, 1022, 2956, 547, 519, 5549, 553, 563, 763, 954, 5632, 566, 729, 13234, 688, 874, 1794, 731, 569, 267, 2687, 547, 1483, 610, 16545, 2115, 267, 543, 1142, 5681, 518, 1014, 2749, 17332, 3275, 693, 786, 1765, 324, 269, 715, 6373, 623, 20234, 559, 3780, 2073, 2687, 547, 2245, 519, 2034, 4622, 540, 7507, 7790, 898, 666, 849, 581, 7074, 602, 1079, 9343, 540, 1079, 1535, 2947, 540, 519, 669, 553, 638, 529, 1818, 8938, 669, 553, 638, 529, 723, 8188, 3168, 585, 2072, 543, 835, 4737, 540, 1079, 1535, 2947, 669, 553, 638, 529, 1818, 4557, 669, 553, 638, 529, 814, 7873, 528, 9843, 3168, 20733, 563, 3719, 13059, 547, 519, 4505, 3948, 834, 23562, 4868, 24262, 267, 1287, 267, 1500, 519, 1032, 269, 1677, 4194, 713, 1966, 519, 21072, 11827, 513, 1085, 3012, 1242, 3540, 1032, 540, 2395, 5258, 883, 1614, 12405, 267, 1142, 540, 799, 15538, 540, 2185, 3275, 540, 476, 1789, 2395, 1142, 269, 5549, 320, 3275, 3767, 13071, 1865, 519, 3275, 538, 5549, 320, 11706, 563, 763, 2395, 941, 22921, 1369, 1142, 540, 519, 1614, 5756, 540, 519, 3923, 269, 634, 5681, 518, 1014, 7245, 849, 2877, 513, 942, 1770, 16030, 519, 2898, 6694, 4783, 282, 585, 1383, 267, 689, 519, 6765, 540, 1007, 24061, 543, 519, 23928, 540, 22317, 6589, 547, 519, 1985, 7693, 269, 634, 10731, 1239, 538, 519, 13669, 31053, 545, 2959, 6161, 1152, 519, 3909, 11706, 269, 634, 2495, 540, 713, 10971, 2012, 689, 519, 5549, 320, 1893, 568, 12624, 540, 20463, 543, 568, 4922, 1634, 607, 513, 4775, 563, 1607, 3540, 11706, 729, 6508, 689, 519, 16264, 11706, 1210, 3275, 543, 519, 6694, 267, 610, 20407, 267, 15088, 1210, 12405, 6902, 621, 729, 267, 2705, 267, 1100, 3476, 2047, 4448, 547, 2901, 543, 3976, 729, 711, 6417, 676, 873, 269, 634, 3275, 3459, 693, 519, 1101, 15287, 540, 519, 1715, 9855, 2073, 543, 538, 519, 476, 279, 628, 2540, 536, 576, 5480, 19936, 1869, 4080, 713, 1271, 8343, 547, 519, 28435, 6929, 15438, 563, 5415, 12738, 941, 5342, 547, 2327, 602, 519, 7031, 18009, 2989, 5265, 269, 623, 714, 541, 549, 729, 3957, 17294, 543, 23071, 540, 782, 9518, 3949, 538, 18475, 267, 610, 1715, 10011, 850, 267, 607, 519, 5053, 1631, 1572, 519, 2244, 563, 16829, 676, 281, 19248, 4026, 1923, 593, 5239, 476, 273, 267, 476, 1001, 273, 454, 2005, 5161, 540, 513, 9649, 3625, 540, 6149, 609, 513, 10766, 2759, 883, 922, 2539, 3368, 543, 606, 14969, 23732, 593, 519, 5580, 851, 269, 634, 5549, 320, 6035, 873, 30060, 669, 747, 320, 538, 513, 11344, 7484, 267, 799, 519, 5053, 15653, 269, 901, 568, 5812, 609, 606, 2038, 5549, 320, 11706, 540, 476, 1015, 3275, 1210, 476, 277, 20610, 547, 519, 7532, 543, 476, 277, 20610, 547, 519, 7178, 540, 595, 15120, 1723, 563, 763, 5086, 540, 2070, 2687, 547, 4856, 341, 2581, 568, 7167, 26698, 14105, 14741, 729, 6825, 609, 741, 30803, 11706, 269, 634, 5053, 6037, 3438, 730, 519, 2012, 607, 570, 24660, 520, 1231, 8500, 334, 610, 570, 24660, 520, 1231, 8500, 340, 563, 4263, 922, 8880, 267, 519, 5549, 320, 661, 2381, 550, 3769, 18475, 543, 9530, 787, 2865, 540, 7729, 335, 577, 1157, 568, 1631, 19578, 543, 513, 2370, 3950, 1651, 320, 11706, 1062, 1018, 568, 9935, 16266, 335, 22004, 540, 519, 31410, 548, 9540, 269, 1651, 345, 634, 2495, 540, 713, 5849, 2012, 689, 519, 22387, 1893, 568, 16797, 540, 7354, 12542, 543, 568, 4922, 530, 958, 607, 513, 1906, 563, 8489, 713, 1448, 15354, 267, 519, 1909, 1131, 2661, 269, 10787, 12738, 941, 26224, 547, 519, 6129, 269, 634, 824, 4872, 2968, 12922, 543, 10443, 1318, 563, 28082, 23234, 267, 8186, 267, 543, 267, 1310, 827, 536, 576, 267, 2516, 10199, 8027, 24817, 269, 1809, 1651, 320, 11706, 1062, 15568, 4505, 267, 713, 12398, 693, 570, 12685, 1678, 340, 568, 711, 15568, 2390, 513, 2820, 2581, 540, 519, 19278, 4158, 883, 12964, 267, 855, 883, 8938, 267, 543, 713, 568, 2759, 1034, 2442, 8924, 585, 14038, 519, 22221, 1651, 320, 11706, 1062, 2829, 8108, 519, 1954, 1125, 693, 519, 5377, 799, 4564, 519, 22221, 22225, 593, 519, 1332, 2427, 540, 519, 17833, 553, 553, 599, 334, 799, 568, 519, 31042, 1543, 563, 306, 15471, 1947, 930, 3947, 540, 23648, 18428, 941, 5186, 12097, 547, 713, 1025, 665, 689, 519, 18631, 2462, 269, 26361, 267, 609, 476, 277, 10425, 267, 519, 14669, 1131, 581, 861, 622, 332, 883, 476, 1015, 609, 519, 3141, 3232, 610, 10211, 593, 519, 1283, 540, 1142, 942, 607, 621, 16033, 919, 2429, 519, 3003, 2059, 519, 22072, 1651, 320, 11706, 1062, 1151, 560, 823, 547, 6580, 543, 1394, 1586, 563, 2026, 515, 6807, 1654, 539, 889, 568, 1946, 267, 2705, 267, 602, 693, 519, 2427, 3294, 519, 2427, 540, 1036, 2522, 1296, 17019, 609, 519, 1569, 542, 1554, 269, 1261, 849, 22234, 602, 519, 20923, 1651, 320, 11706, 1062, 602, 1554, 267, 602, 568, 547, 2161, 267, 519, 12315, 267, 1031, 513, 1554, 540, 476, 1015, 1004, 269, 0, 5278, 821, 945, 1131, 2161, 971, 513, 3364, 6772, 23697, 519, 1249, 602, 621, 781, 711, 519, 2179, 540, 2029, 602, 12523, 267, 855, 875, 596, 946, 621, 602, 6927, 269, 769, 519, 5763, 5006, 7262, 6082, 267, 519, 946, 540, 2029, 814, 1044, 8362, 9859, 676, 1134, 15696, 4327, 3854, 23831, 6127, 269, 1452, 2883, 7405, 1450, 31132, 267, 31356, 267, 543, 22278, 547, 10210, 2724, 693, 1719, 602, 666, 2663, 581, 1065, 4660, 1369, 519, 2796, 540, 513, 3656, 1604, 602, 14014, 3959, 543, 11731, 269, 4340, 547, 16661, 2421, 267, 519, 13357, 540, 519, 3791, 1158, 814, 2185, 27521, 338, 281, 1261, 13187, 602, 1256, 952, 782, 3791, 1158, 2477, 1810, 1405, 4865, 891, 7907, 282, 602, 1142, 19299, 1079, 610, 1614, 540, 873, 563, 2252, 519, 3668, 540, 30222, 568, 547, 4196, 607, 8796, 1496, 5649, 2859, 4940, 24205, 540, 4065, 32389, 269, 589, 5081, 1670, 21887, 2290, 540, 519, 1034, 1271, 3344, 540, 1272, 2221, 568, 4440, 2069, 269, 9453, 513, 1164, 2298, 540, 2069, 267, 2523, 593, 519, 24596, 1377, 267, 621, 568, 1360, 2352, 547, 1265, 2744, 995, 7694, 610, 547, 4434, 538, 835, 781, 6074, 4876, 269, 1280, 713, 2601, 267, 835, 540, 519, 1390, 32333, 538, 519, 1158, 2221, 568, 1514, 8635, 543, 519, 3872, 8635, 602, 4422, 2059 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 267, 543, 1250, 12129, 4266, 814, 1524, 539, 513, 1906, 20034, 25299, 269, 594, 9263, 2620, 883, 1010, 4064, 267, 3843, 547, 4137, 856, 1946, 865, 1082, 1004, 2429, 519, 1164, 10509, 7122, 1589, 8361, 7136, 16433, 1223, 581, 519, 18160, 540, 938, 942, 563, 268, 476, 1220, 271, 5130, 476, 2420, 267, 5903, 10273, 7799, 15104, 7420, 281, 27016, 267, 27016, 1862, 10673, 1406, 15681, 2725, 29755, 9275, 676, 14161, 918, 553, 749, 267, 3842, 2817, 5398, 15571, 912, 268, 1403, 18160, 267, 1250, 15210, 1315, 21518, 513, 17167, 1630, 1054, 6666, 1512, 1315, 594, 4952, 646, 1932, 1131, 581, 1496, 321, 1819, 2639, 268, 589, 21519, 689, 4436, 563, 268, 15751, 18160, 454, 268, 645, 846, 7232, 14852, 7873, 839, 622, 630, 289, 4488, 994, 268, 645, 846, 7232, 14852, 7194, 454, 268, 18160, 2361, 3830, 454, 268, 18160, 1014, 25536, 454, 268, 18160, 6261, 617, 11169, 5652, 7304, 4923, 19433, 630, 292, 6261, 7304, 19433, 267, 661, 11266, 19433, 267, 661, 11266, 994, 268, 18160, 7304, 4923, 8115, 630, 292, 7304, 8115, 267, 18317, 8115, 267, 18317, 994, 268, 18160, 781, 3586, 454, 268, 661, 11266, 284, 2207, 267, 18317, 284, 7968, 305, 454, 268, 853, 1046, 7232, 14852, 1876, 454, 268, 4340, 547, 519, 476, 1001, 271, 2136, 2276, 17227, 267, 18160, 568, 519, 476, 29340, 3445, 628, 1034, 1455, 21519, 538, 519, 2136, 2276, 267, 10362, 547, 476, 4792, 280, 2043, 269, 18160, 568, 1034, 1455, 1851, 6519, 630, 11463, 269, 7918, 8472, 2043, 563, 292, 14852, 630, 680, 1116, 661, 514, 4614, 1231, 994, 268, 630, 27271, 26878, 2880, 264, 1323, 5393, 15931, 610, 10995, 1268, 563, 268, 14271, 11618, 281, 1294, 634, 28445, 281, 3104, 32717, 22433, 454, 268, 2052, 596, 3494, 646, 781, 1175, 513, 9656, 518, 286, 898, 5654, 899, 789, 4312, 3893, 606, 18160, 538, 519, 1920, 563, 268, 6153, 2816, 267, 18160, 267, 3206, 596, 1223, 10544, 519, 12904, 609, 707, 726, 4536, 563, 763, 21519, 568, 4356, 1049, 267, 689, 1022, 540, 1585, 4025, 3957, 609, 513, 5664, 4400, 4436, 12045, 540, 552, 14852, 523, 9497, 1729, 11700, 846, 610, 3295, 609, 6149, 257, 5148, 1294, 32489, 19985, 23415, 267, 543, 910, 523, 269, 634, 834, 534, 5393, 10995, 1268, 257, 2631, 568, 606, 3134, 7716, 540, 15751, 18160, 563, 272, 4415, 606, 2376, 563, 268, 1323, 5393, 10995, 1268, 563, 268, 2051, 636, 2692, 630, 320, 1268, 17548, 519, 6654, 994, 268, 9745, 670, 3471, 267, 18536, 267, 9375, 630, 1220, 274, 1070, 968, 292, 14852, 5608, 538, 9218, 540, 1977, 7731, 18780, 267, 4320, 476, 272, 267, 1715, 3840, 4975, 281, 10228, 2160, 4964, 267, 9890, 25835, 267, 2985, 476, 276, 1240, 912, 268, 476, 272, 269, 4436, 543, 6014, 630, 2026, 327, 5287, 1794, 545, 2567, 4356, 1049, 2012, 689, 1022, 540, 1585, 4025, 3957, 609, 513, 5664, 4400, 4436, 12045, 540, 552, 14852, 523, 2048, 1729, 11700, 846, 610, 3295, 609, 6149, 9957, 769, 519, 796, 3553, 339, 1194, 1514, 2916, 540, 519, 5664, 12698, 1256, 5266, 5634, 17260, 941, 4122, 11303, 609, 6149, 6821, 607, 513, 8878, 1996, 4323, 269, 476, 273, 269, 6014, 630, 2026, 327, 5287, 1794, 545, 2567, 25798, 2012, 7768, 540, 4436, 32489, 2048, 821, 685, 1341, 23415, 2048, 7723, 17483, 268, 968, 292, 14852, 892, 538, 667, 644, 523, 2228, 454, 292, 14852, 544, 1086, 454, 268, 18160, 538, 14470, 21594, 693, 623, 310, 301, 454, 292, 14852, 544, 610, 535, 676, 2631, 454, 292, 14852, 544, 630, 514, 19702, 762, 994, 268, 606, 18160, 630, 534, 5393, 10995, 610, 8797, 1268, 264, 0, 288, 7484, 540, 6995, 538, 519, 6640, 666, 1118, 707, 1554, 811, 4190, 543, 1118, 596, 15508, 6793, 269, 4340, 547, 930, 2090, 267, 621, 2337, 2149, 721, 689, 930, 540, 519, 811, 1271, 1072, 4220, 267, 971, 607, 519, 1981, 540, 6797, 2860, 267, 1826, 476, 273, 3987, 267, 543, 2295, 5821, 269, 24334, 814, 1082, 7907, 269, 4653, 594, 786, 1865, 930, 540, 519, 2640, 540, 6995, 563, 4692, 2333, 1648, 543, 1118, 596, 21273, 454, 290, 4752, 2465, 666, 948, 14867, 9854, 543, 2333, 1648, 2157, 269, 901, 568, 1317, 6995, 3568, 513, 8102, 656, 1572, 14933, 267, 519, 1034, 4922, 1031, 28400, 5562, 6219, 538, 519, 1158, 269, 2991, 596, 4235, 6995, 267, 14933, 8928, 883, 707, 18072, 543, 689, 972, 621, 10301, 707, 2634, 269, 1369, 519, 2634, 267, 30175, 1355, 29620, 519, 5778, 23755, 7576, 657, 728, 269, 1879, 713, 4523, 267, 519, 1297, 540, 824, 30088, 267, 971, 607, 562, 648, 18090, 31058, 543, 22006, 267, 4679, 267, 4611, 538, 2799, 11409, 563, 290, 4752, 2465, 666, 948, 596, 2569, 3170, 454, 290, 25377, 710, 786, 581, 1459, 538, 782, 519, 2472, 596, 786, 1294, 547, 2569, 3170, 269, 898, 568, 835, 540, 519, 2067, 5820, 547, 948, 2569, 3170, 269, 11153, 2090, 723, 3254, 602, 14933, 666, 2333, 707, 10894, 2557, 689, 737, 274, 547, 476, 1015, 2600, 269, 4033, 2090, 723, 3254, 602, 14933, 666, 581, 3226, 5363, 538, 4227, 3170, 538, 476, 1015, 260, 540, 17324, 1004, 543, 476, 3066, 260, 540, 20158, 1004, 269, 1717, 267, 713, 1198, 568, 2693, 547, 581, 4389, 538, 1279, 3856, 6995, 4235, 619, 563, 290, 4752, 2465, 666, 2087, 2168, 8516, 454, 290, 4752, 2465, 4679, 519, 1377, 540, 3134, 710, 31058, 630, 611, 1066, 13824, 264, 538, 707, 1973, 269, 898, 568, 519, 4339, 7146, 1922, 2775, 9449, 602, 22316, 707, 1560, 585, 7920, 2168, 2534, 269, 595, 25377, 710, 5283, 1206, 1560, 3170, 590, 604, 520, 3679, 568, 1031, 607, 1560, 4492, 269, 595, 25377, 710, 666, 2087, 2168, 2773, 676, 606, 3328, 540, 476, 1556, 268, 2420, 10065, 1924, 596, 666, 723, 513, 7484, 540, 2178, 6995, 3368, 606, 5662, 1354, 2469, 547, 519, 15547, 799, 666, 2333, 707, 2168, 4390, 563, 290, 4752, 2465, 3568, 1082, 1898, 5567, 454, 1432, 779, 538, 513, 7484, 540, 6995, 454, 272, 269, 25906, 1993, 15442, 514, 630, 24791, 645, 273, 2567, 476, 1556, 260, 540, 4704, 3232, 6981, 630, 305, 14888, 1916, 273, 269, 23202, 582, 1156, 545, 3679, 630, 341, 9559, 645, 276, 2567, 476, 277, 260, 540, 681, 14888, 563, 274, 1547, 631, 22462, 3150, 543, 8000, 9914, 281, 476, 274, 260, 540, 681, 14888, 563, 275, 269, 13804, 10901, 543, 562, 13519, 514, 630, 341, 9559, 645, 274, 2567, 476, 273, 260, 540, 681, 14888, 563, 10144, 945, 899, 6995, 2356, 4235, 513, 1906, 11680, 540, 6995, 513, 1554, 269, 1452, 5820, 616, 1373, 3773, 547, 519, 1560, 607, 1454, 607, 513, 1268, 568, 6704, 513, 7484, 540, 6995, 563, 290, 4752, 2465, 2337, 2569, 519, 3463, 540, 1826, 476, 273, 3987, 454, 13911, 476, 273, 3987, 568, 513, 2101, 1072, 1966, 602, 27057, 5540, 6634, 540, 1004, 5001, 269, 769, 938, 2197, 267, 621, 568, 2356, 4857, 607, 513, 2068, 9013, 519, 4527, 540, 1973, 4006, 676, 7378, 269, 4658, 945, 4235, 6995, 5781, 723, 513, 3648, 2539, 1981, 540, 3384, 1826, 476, 273, 3987, 269, 5525, 1397, 602, 1004, 945, 4235, 6995, 5781, 723, 513, 476, 2537, 268, 2004, 260, 2539, 1981, 540, 3384, 519, 2068, 563, 7804, 9722, 6995, 666, 2149, 1996, 12216, 779, 543, 12110, 563, 2704, 11533, 779, 568, 513, 31895, 17654, 24255, 3622, 1634, 607, 32408, 5001, 269, 634, 2068, 2356, 5540, 1004, 936, 519, 2085, 540, 476, 4792, 543, 972, 568, 1100, 10826, 585, 519, 2068, 267, 855, 972, 616, 1082, 2081, 547, 2061, 621, 950, 621, 568, 538, 922, 2038, 5933, 269, 13245, 4189, 543, 3635, 666, 2149, 596, 689, 12216, 779, 543, 12110, 269, 1809, 1256, 6704, 6995, 666, 4688, 596, 606, 6909, 2179, 454, 290, 4752, 2465, 666, 2149, 707, 6797, 454, 7312, 6797, 568, 606, 5863, 1418, 269, 634, 6797, 15824, 7366, 540, 1271, 1480, 3252, 269, 11153, 1455, 3676, 3441, 707, 6797, 971, 607, 17537, 267, 9761, 6797, 2068, 267, 543, 1082, 811, 269, 24334, 666, 2149, 707, 6797, 689, 4963, 9071, 2670, 538, 1840, 547, 891, 3676, 1107, 1346, 945, 4235, 476, 275, 610, 811, 11680, 540, 6995, 513, 1554, 723, 606, 476, 3199, 260, 2539, 1981, 540, 3384, 713, 2068, 563, 290, 4752, 2465, 666, 4339, 4965, 543, 1118, 596, 811, 8746, 454, 12831, 1833, 568, 513, 3978, 2790, 4524, 269, 12870, 666, 7494, 2569, 513, 1268, 779, 2168, 2773, 543, 26901, 531, 269, 769, 519, 2136, 2276, 4805, 267, 827, 476, 275, 269, 272, 260, 540, 1004, 7985, 689, 4791, 4965, 269, 769, 513, 12370, 1353, 3370, 538, 476, 1001, 272, 267, 2021, 945, 1743, 1678, 476, 275, 610, 811, 11680, 540, 6995, 513, 1554, 1185, 513, 476, 736, 260, 2539, 1981, 540, 4965, 269, 6271, 1353, 540, 476, 273, 267, 5400, 267, 275, 2190, 1004, 1336, 602, 1346, 945, 1743, 1678, 476, 275, 610, 811, 11680, 540, 6995, 513, 1554, 1185, 513, 476, 7871, 260, 2539, 4960, 540, 12955, 689, 11980, 563, 7804, 9722, 6995, 5781, 666, 2569, 519, 3463, 540, 8482, 454, 2005, 568, 1419, 10645, 602, 14933, 666, 6318, 707, 1973, 2604, 269, 901, 568, 3020, 855, 1152, 4679, 547, 476, 274, 268, 275, 6515, 10774, 326, 269, 1403, 596, 4235, 6995, 5781, 1287, 922, 2360, 3262, 689, 707, 1560, 269, 1403, 596, 723, 1164, 1973, 2604, 267, 596, 1590, 1832, 713, 538, 2247, 1354, 6704, 6995, 269, 24334, 4679, 519, 1981, 540, 2295, 2068, 898, 568, 513, 1455, 31605, 602, 972, 568, 930, 2963, 602, 2021, 4235, 6995, 547, 2569, 741, 1981, 269, 3509, 2090, 849, 1397, 602, 6995, 4235, 619, 723, 513, 476, 736, 260, 2539, 1981, 540, 8482, 563, 290, 4752, 2465, 666, 948, 596, 2661, 3476, 454, 7712, 513, 1268, 945, 10425, 6995, 5781, 568, 1447, 2693, 547, 1205, 1082, 3676, 267, 621, 568, 10924, 602, 6995, 666, 948, 596, 2661, 3476, 269, 11153, 2090, 723, 3254, 602, 1004, 945, 4235, 6995, 723, 513, 2539, 1981, 540, 2669, 269, 5565, 2090, 1336, 602, 6704, 6995, 4389, 519, 1981, 540, 2669, 538, 2367, 676, 476, 736, 260, 543, 538, 2021, 9907, 476, 1240, 547, 476, 2190, 676, 476, 2918, 10065, 589, 476, 736, 4458, 1353, 267, 3226, 29810, 585, 2550, 609, 1826, 476, 273, 3987, 267, 1336, 602, 2550, 609, 1826, 476, 273, 3987, 945, 1743, 1678, 6995, 5781, 1185, 513, 476, 1789, 260, 2539, 1981, 540, 2669, 563, 9596, 513, 5618, 540, 6995 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 16315, 602, 649, 1489, 519, 2797, 6859, 540, 602, 2197, 2223, 623, 895, 1767, 267, 4946, 602, 3624, 779, 16727, 5029, 2358, 9730, 1131, 1450, 9845, 547, 3717, 741, 8186, 693, 2046, 19014, 563, 293, 745, 1598, 566, 1851, 1480, 2924, 14540, 814, 1044, 2679, 909, 585, 1296, 269, 4340, 547, 513, 2487, 1867, 676, 2549, 333, 17965, 4139, 267, 519, 1480, 2924, 3510, 538, 3624, 814, 711, 4824, 2094, 519, 476, 1220, 279, 14400, 10632, 269, 634, 2048, 641, 2287, 685, 540, 519, 2197, 16219, 1287, 814, 711, 3144, 1747, 2901, 267, 2687, 547, 1082, 24319, 563, 4263, 519, 1482, 942, 267, 811, 982, 513, 2929, 772, 344, 724, 2720, 616, 2028, 539, 538, 865, 10777, 556, 268, 25531, 13122, 538, 519, 4457, 11662, 540, 2473, 514, 10202, 836, 269, 1703, 723, 1044, 5359, 540, 7142, 10322, 559, 5314, 543, 16377, 267, 7142, 1418, 16276, 267, 543, 25711, 267, 799, 19864, 3954, 625, 269, 5274, 7126, 13772, 543, 930, 5375, 6608, 616, 6340, 540, 2048, 2102, 17462, 17483, 4002, 11728, 267, 9167, 4914, 26110, 941, 4397, 547, 1265, 1455, 2666, 593, 2436, 547, 6443, 519, 2475, 21445, 20320, 7911, 22574, 540, 519, 21396, 563, 7212, 519, 9167, 814, 3144, 968, 7224, 3375, 892, 593, 2436, 547, 6494, 1022, 540, 922, 13222, 547, 19864, 267, 968, 320, 1455, 3864, 1935, 1131, 581, 3810, 267, 3810, 5227, 5608, 513, 9972, 9167, 4013, 5143, 1065, 13024, 2063, 3018, 267, 17782, 519, 12909, 1223, 2693, 1205, 30255, 2016, 519, 18312, 5784, 1851, 4759, 2829, 563, 1103, 519, 1439, 267, 2705, 267, 1310, 6266, 540, 6846, 689, 9167, 1698, 8558, 267, 519, 666, 814, 1044, 14736, 539, 1524, 519, 4155, 269, 3143, 1455, 9167, 3375, 593, 513, 20320, 7911, 22574, 568, 2693, 713, 3018, 267, 543, 519, 4901, 568, 2693, 547, 759, 16577, 538, 4571, 11219, 534, 4231, 538, 922, 2407, 652, 563, 30051, 543, 5333, 723, 1201, 11712, 689, 17444, 8387, 856, 540, 519, 2680, 865, 2484, 269, 1280, 3943, 5518, 2506, 28609, 5839, 1258, 267, 711, 11488, 606, 4013, 15518, 566, 547, 519, 16727, 10632, 568, 968, 3286, 13513, 9731, 15703, 9167, 4914, 26110, 723, 6700, 602, 621, 779, 1732, 585, 3864, 14761, 547, 3717, 856, 593, 1480, 2924, 2152, 1247, 1373, 593, 519, 2666, 538, 3624, 563, 31936, 267, 513, 20320, 7911, 22574, 568, 1152, 519, 968, 331, 7660, 4781, 5608, 1354, 2477, 6430, 547, 2061, 741, 1378, 9845, 689, 12721, 538, 519, 21396, 563, 292, 2416, 1259, 267, 519, 7145, 540, 20320, 610, 2407, 8397, 7911, 20799, 1206, 540, 519, 16727, 10632, 568, 513, 2339, 540, 930, 7521, 563, 3719, 609, 519, 1699, 547, 532, 543, 8389, 532, 1851, 4759, 2829, 267, 519, 1292, 5048, 513, 20320, 7911, 22574, 568, 9277, 547, 3035, 1107, 513, 8087, 267, 2312, 6450, 8123, 1107, 814, 2907, 1044, 19847, 563, 288, 5048, 676, 7108, 2006, 590, 778, 338, 281, 13028, 12539, 15299, 454, 9596, 875, 649, 666, 3035, 2121, 25179, 3327, 609, 12539, 15299, 1107, 1700, 938, 1382, 602, 3631, 519, 2121, 25179, 1942, 7455, 2066, 2789, 6080, 269, 8437, 3371, 3436, 11417, 763, 9167, 779, 2856, 540, 24973, 24228, 585, 4745, 3853, 267, 971, 607, 585, 519, 2022, 1790, 663, 2438, 6051, 267, 1223, 581, 1031, 1586, 952, 519, 6388, 540, 519, 6051, 10325, 568, 513, 1967, 267, 519, 1025, 665, 779, 9483, 30934, 14529, 23383, 22918, 15714, 328, 1767, 593, 11728, 269, 634, 2604, 568, 1631, 593, 1804, 23700, 540, 9167, 2724, 547, 946, 519, 6051, 7482, 3927, 563, 31323, 1876, 16234, 6603, 606, 6876, 593, 519, 9167, 4341, 1504, 585, 3059, 1543, 543, 2533, 267, 6101, 2213, 676, 519, 10073, 538, 519, 3056, 25931, 12233, 269, 634, 19847, 1257, 593, 519, 7913, 7896, 2920, 4607, 3376, 1489, 538, 519, 4835, 2344, 12233, 630, 8379, 4596, 264, 593, 13638, 267, 1739, 606, 6876, 13264, 1042, 676, 519, 1291, 7858, 328, 1807, 2441, 601, 5576, 531, 12047, 846, 563, 20059, 532, 538, 3059, 1983, 786, 581, 2629, 952, 2342, 6499, 547, 18534, 1901, 922, 2804, 2990, 543, 5150, 922, 1747, 538, 519, 2104, 2518, 1871, 5832, 267, 2872, 543, 5647, 5515, 723, 1767, 267, 8015, 606, 5571, 1983, 17732, 538, 519, 5823, 563, 19445, 7939, 543, 10509, 16285, 786, 581, 1851, 5333, 779, 3059, 14422, 950, 621, 3217, 936, 519, 15914, 9167, 7027, 24164, 538, 519, 1101, 3368, 540, 476, 1708, 273, 269, 968, 763, 5488, 649, 1847, 267, 519, 1447, 519, 2475, 23766, 786, 581, 2111, 547, 25211, 2223, 1767, 3943, 1298, 2077, 631, 7968, 543, 3059, 11285, 10218, 324, 4678, 558, 2041, 563, 293, 8896, 786, 849, 1394, 519, 3864, 8189, 538, 8165, 17717, 543, 21108, 513, 968, 14683, 892, 1377, 540, 20440, 950, 621, 3217, 593, 519, 3943, 9167, 7027, 3465, 19409, 538, 5130, 585, 3670, 3275, 267, 1767, 3943, 11982, 10579, 7325, 1329, 9324, 768, 663, 773, 269, 661, 7838, 3722, 30888, 5333, 5359, 563, 26542, 268, 866, 13995, 3366, 547, 2799, 12674, 19718, 476, 736, 2395, 1354, 543, 476, 2412, 2395, 1310, 621, 729, 5189, 538, 2477, 609, 2539, 31032, 8584, 2071, 12674, 3795, 267, 2687, 547, 513, 9781, 1353, 3370, 538, 634, 31102, 5398, 2657, 4760, 563, 1103, 824, 3377, 267, 519, 1007, 10089, 326, 4115, 2229, 786, 15974, 513, 968, 854, 3728, 892, 1007, 1184, 602, 1058, 948, 1924, 325, 807, 12740, 922, 1654, 1729, 543, 12260, 519, 1376, 540, 30240, 3345, 24765, 8205, 779, 9167, 1569, 542, 16395, 267, 31697, 779, 1007, 6305, 14012, 267, 17340, 559, 8891, 28325, 267, 814, 5143, 519, 11038, 8648, 269, 634, 23318, 729, 20888, 676, 4787, 641, 16660, 563, 8601, 606, 4505, 3375, 711, 547, 6085, 267, 20622, 2342, 267, 519, 12666, 2797, 1895, 538, 519, 3864, 12057, 267, 3357, 856, 538, 1489, 540, 741, 4759, 5428, 28626, 30355, 25474, 1310, 519, 30355, 752, 4987, 2533, 31002, 621, 607, 968, 3847, 26310, 17119, 1235, 9731, 2704, 3316, 807, 2488, 968, 1410, 4003, 958, 4057, 892, 1569, 547, 12680, 2126, 585, 4961, 267, 20823, 2063, 856, 540, 476, 6246, 824, 3864, 543, 5375, 2477, 267, 2687, 547, 519, 3864, 25304, 540, 674, 19910, 9615, 24727, 563, 2793, 15674, 14199, 4937, 808, 839, 853, 565, 1084, 6199, 814, 4294, 547, 1831, 16157, 779, 1985, 3844, 4871, 17294, 267, 646, 1767, 593, 13638, 267, 9870, 2055, 827, 519, 4871, 779, 7115, 689, 519, 2229, 952, 646, 941, 547, 581, 12912, 269, 853, 565, 1084, 6199, 543, 1010, 1292, 15180, 585, 519, 2816, 267, 7439, 2471, 7813, 1244, 14280, 17294, 594, 6767, 654, 1245, 523, 645, 5995, 267, 1312, 1767, 789, 1185, 1044, 9415, 676, 519, 2229, 547, 4019, 563, 292, 2202, 779, 16160, 14206, 10601, 7526, 8507, 538, 5215, 540, 19726, 540, 6671, 543, 3114, 544, 684, 1431, 546, 22981, 883, 3864, 7297, 269, 4653, 267, 891, 30599, 3429, 9604, 10460, 513, 8594, 547, 1480, 1072, 543, 547, 17535, 2804, 2238, 269, 3767, 267, 811, 982, 2479, 267, 891, 546, 22981, 544, 684, 1431, 1590, 581, 23498, 267, 3081, 631, 7968, 17555, 674, 582, 344, 8615, 563, 12024, 1169, 13638, 267, 2638, 856, 938, 13255, 16684, 585, 513, 5180, 1575, 540, 12353, 3377, 563, 16100, 856, 585, 7498, 268, 3864, 8189, 21470, 6261, 637, 1211, 2605, 753, 7033, 1067, 332, 753, 6585, 2756, 27019, 12401, 1289, 609, 1325, 758, 1744, 12609, 267, 7022, 540, 30505, 2918, 454, 268, 30934, 585, 5851, 16457, 962, 331, 9366, 2977, 753, 5459, 11564, 6115, 454, 268, 3864, 8189, 5518, 772, 3464, 3121, 13153, 3541, 2274, 344, 523, 543, 4400, 11724, 894, 8277, 335, 16907, 22641, 7119, 538, 8109, 26844, 27169, 454, 21366, 616, 519, 2278, 779, 563, 314, 10955, 1243, 676, 2098, 528, 534, 7101, 657, 822, 331, 329, 5271, 545, 270, 7705, 13177, 316, 0, 1607, 6648, 630, 3036, 294, 1100, 269, 476, 19442, 264, 729, 1101, 3370, 538, 519, 1101, 7160, 540, 4972, 531, 667, 527, 2906, 538, 476, 6642, 277, 269, 898, 568, 6394, 538, 912, 268, 4427, 2425, 550, 21820, 540, 4972, 531, 667, 527, 2906, 454, 268, 7216, 7638, 572, 630, 5002, 271, 994, 268, 32213, 7638, 572, 630, 4489, 280, 994, 268, 4347, 514, 1438, 7638, 572, 630, 3707, 271, 994, 268, 12246, 16303, 9990, 11730, 476, 3953, 267, 2985, 476, 15647, 454, 268, 8738, 31683, 9990, 267, 11730, 476, 1839, 454, 294, 858, 523, 568, 606, 11464, 945, 1185, 3893, 15166, 5268, 1227, 883, 7963, 269, 1261, 2451, 519, 3028, 543, 968, 20852, 6720, 2465, 5608, 2713, 607, 513, 5065, 538, 513, 6552, 14860, 269, 589, 2481, 568, 3710, 972, 540, 26843, 2326, 267, 543, 950, 621, 28377, 8938, 19317, 27142, 616, 546, 27547, 269, 717, 858, 523, 568, 1336, 4666, 9944, 606, 2025, 7504, 3670, 5195, 1524, 519, 14860, 269, 1809, 513, 10828, 14340, 1851, 519, 27142, 540, 513, 812, 593, 513, 1395, 560, 9317, 7504, 9870, 519, 15372, 543, 6117, 873, 547, 3106, 269, 769, 513, 8049, 22509, 17495, 12976, 540, 968, 763, 21001, 2193, 540, 8830, 684, 13225, 698, 520, 892, 538, 634, 808, 21819, 3883, 646, 814, 10710, 513, 1390, 1082, 540, 873, 269, 717, 858, 523, 779, 7963, 568, 6976, 563, 8450, 849, 968, 2414, 581, 674, 6150, 585, 13129, 892, 538, 30577, 24079, 689, 519, 22193, 267, 827, 5839, 4504, 9655, 808, 749, 718, 644, 514, 945, 849, 2048, 2998, 525, 6720, 2465, 8730, 2713, 607, 513, 4057, 5065, 4095, 563, 1607, 6648, 814, 711, 9676, 519, 3007, 540, 1082, 540, 519, 13915, 269, 1717, 267, 12448, 18999, 630, 7277, 275, 268, 4489, 273, 1070, 519, 10564, 267, 16159, 267, 543, 10404, 267, 945, 5206, 606, 2038, 2689, 540, 4972, 531, 667, 527, 2906, 538, 7043, 2006, 779, 18225, 538, 5239, 476, 6642, 277, 267, 29499, 912, 763, 1650, 540, 717, 858, 523, 267, 945, 729, 7745, 543, 771, 6588, 1027, 267, 543, 10710, 513, 2898, 24781, 693, 519, 13258, 540, 1010, 1378, 1272, 267, 543, 945, 568, 1631, 26902, 5792, 676, 519, 25165, 630, 514, 19377, 264, 568, 17709, 540, 645, 4958, 19134, 324, 563, 1607, 30590, 27411, 7204, 267, 945, 607, 16452, 25599, 11089, 2798, 856, 630, 335, 269, 476, 11463, 264, 729, 2048, 320, 1390, 23507, 337, 540, 19134, 324, 779, 14973, 1790, 24602, 14235, 543, 8941, 540, 2836, 4613, 1014, 5599, 1272, 19028, 289, 517, 18081, 667, 984, 337, 19902, 630, 335, 269, 20385, 264, 10530, 3515, 689, 519, 6648, 607, 606, 1383, 540, 875, 281, 2048, 2091, 568, 11324, 4240, 689, 4742, 6965, 676, 519, 4367, 540, 930, 1651, 784, 745, 748, 2262, 685, 912, 2507, 5445, 6659, 513, 11454, 547, 519, 2199, 2696, 2676, 4517, 26151, 782, 6073, 540, 5667, 822, 712, 344, 1919, 454, 26796, 1010, 26749, 267, 543, 2813, 20577, 2676, 4517, 6926, 342, 883, 513, 598, 577, 543, 536, 6548, 513, 11350, 7498, 3080, 17648, 602, 646, 568, 13288, 547, 2048, 12584, 822, 712, 344, 685, 543, 2048, 321, 6548, 9957, 1809, 667, 984, 872, 598, 1027, 525, 602, 2048, 11004, 568, 606, 2093, 1369, 519, 4062, 799, 1522, 723, 1044, 1500, 883, 513, 6648, 19028, 4517, 538, 476, 6245, 271, 654, 9950, 13034, 523, 2917, 267, 945, 2968, 513, 1390, 23507, 337, 540, 27411, 7204, 267, 1572, 713, 2048, 320, 9490, 543, 3001, 1650, 19028, 24687, 593, 519, 7956, 454, 314, 17138, 316, 1703, 568, 1100, 16315, 1946, 27411, 7204, 8359, 519, 2012, 267, 543, 538, 1249, 621, 568, 711, 1031, 538, 519, 6648, 281, 519, 16502, 568, 2141, 5219, 547, 1175, 607, 2048, 515, 19028, 314, 18118, 476, 272, 316, 1955, 27146, 529, 5824, 585, 2048, 1103, 519, 1101, 1747, 20371, 515, 729, 968, 321, 6593, 892, 769, 713, 2796, 267, 6666, 328, 1229, 267, 27226, 540, 1010, 10243, 607, 606, 11464, 563, 2704, 770, 1515, 14355, 11339, 281, 634, 946, 540, 519, 2262, 2048, 321, 6593, 685, 538, 713, 2796, 24283, 689, 519, 2025, 6165, 267, 538, 519, 2038, 476, 1240, 628, 2540, 267, 540, 519, 771, 6588, 1027, 11464, 779, 18156, 1373, 7745, 267, 676, 606, 6186, 537, 17243, 1107, 711, 267, 607, 513, 4341, 267, 1010, 8165, 18156, 267, 855, 1010, 2048, 323, 816, 18156, 8730, 513, 6094, 22850, 1512, 269, 1496, 288, 297, 310, 2639, 314, 18118, 476, 276, 316, 631, 1380, 592, 2006, 7332, 563, 314, 18118, 476, 277, 316, 519, 717, 4768, 328, 27142, 634, 717, 4768, 328, 949, 1134, 581, 519, 717, 4768, 328, 717, 18553, 5211, 538, 519, 1858, 540, 918, 6373, 517, 267, 32065, 28393, 806, 2673, 547, 519, 18310 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4547, 609, 621, 519, 654, 14899, 268, 280, 9682, 585, 11465, 2483, 763, 1739, 3923, 267, 519, 8331, 14361, 834, 290, 817, 7236, 257, 786, 1118, 1010, 476, 14695, 628, 543, 3803, 8574, 676, 21275, 781, 4102, 7599, 21419, 1547, 4429, 763, 14361, 6611, 311, 22900, 2475, 2754, 1500, 513, 3811, 2571, 13941, 593, 3047, 267, 10943, 14414, 1524, 1055, 519, 5032, 540, 7013, 4993, 683, 320, 1862, 0, 4047, 22483, 543, 654, 21822, 26614, 454, 19102, 1162, 538, 1973, 26307, 723, 1044, 4767, 538, 3425, 950, 6995, 568, 1786, 14954, 676, 519, 14495, 1505, 269, 634, 3483, 540, 713, 1353, 729, 547, 6218, 952, 4758, 909, 7969, 6995, 1522, 2569, 1973, 8501, 2157, 563, 292, 26663, 21144, 2343, 30649, 5866, 2438, 1762, 2937, 9038, 267, 1310, 513, 476, 274, 22173, 15977, 630, 13993, 1070, 941, 14477, 8655, 547, 1614, 1114, 1036, 6036, 540, 6995, 4616, 281, 17611, 637, 810, 630, 292, 1070, 4779, 15939, 630, 300, 1070, 543, 1100, 6995, 267, 855, 7401, 630, 307, 1040, 634, 3328, 6995, 4616, 1282, 6304, 630, 296, 264, 729, 476, 274, 269, 272, 1341, 25773, 476, 272, 269, 273, 543, 476, 273, 269, 279, 1341, 25773, 476, 272, 269, 272, 11680, 829, 1554, 585, 17611, 637, 810, 543, 4779, 15939, 1895, 6606, 630, 525, 26078, 810, 281, 476, 1839, 268, 3374, 16720, 11305, 1575, 282, 4779, 15939, 281, 476, 2412, 268, 2004, 16720, 11305, 1575, 1040, 11192, 8501, 267, 31613, 268, 3273, 6856, 565, 267, 25928, 268, 3273, 6856, 565, 543, 27831, 1938, 941, 6027, 5216, 2053, 1282, 519, 1353, 269, 26678, 4806, 267, 4568, 4616, 267, 7296, 6208, 267, 3075, 946, 267, 543, 10236, 6248, 1239, 941, 849, 6592, 563, 763, 2242, 4767, 538, 16796, 8501, 5834, 1063, 15977, 543, 6304, 941, 711, 19250, 1114, 538, 782, 2516, 269, 634, 2242, 941, 476, 271, 269, 271, 6515, 565, 15828, 630, 307, 1070, 1341, 271, 269, 4905, 6515, 565, 15828, 630, 292, 264, 543, 1341, 271, 269, 4962, 6515, 565, 15828, 630, 300, 264, 585, 2698, 16796, 8501, 282, 476, 271, 6515, 565, 15828, 630, 307, 1070, 910, 271, 269, 6349, 6515, 565, 15828, 630, 292, 264, 543, 910, 271, 269, 476, 6734, 6515, 565, 15828, 630, 300, 264, 585, 31613, 4211, 282, 910, 271, 269, 1724, 6515, 565, 15828, 630, 307, 1070, 1341, 271, 269, 6349, 6515, 565, 15828, 630, 292, 264, 543, 910, 271, 269, 476, 4962, 6515, 565, 15828, 630, 300, 264, 585, 25928, 4211, 269, 5395, 636, 27831, 1938, 4951, 513, 1713, 2333, 1282, 6304, 630, 303, 2999, 476, 271, 269, 4905, 676, 30654, 264, 538, 782, 2516, 609, 513, 1689, 540, 476, 271, 269, 1240, 6515, 565, 15828, 267, 476, 271, 269, 1240, 6515, 565, 15828, 543, 476, 271, 269, 2420, 6515, 565, 15828, 267, 585, 7401, 267, 17611, 637, 810, 543, 4779, 15939, 1895, 6606, 563, 763, 2164, 5815, 602, 6995, 1786, 14954, 538, 519, 7969, 1259, 1281, 711, 7369, 1973, 2157, 540, 2698, 8501, 267, 31613, 268, 3273, 6856, 565, 543, 25928, 268, 3273, 6856, 565, 267, 2094, 1100, 1713, 3604, 941, 4767, 538, 891, 1973, 6724, 1310, 513, 476, 277, 22173, 2736, 689, 6995, 4616, 269, 0, 763, 2376, 849, 8711, 519, 1082, 1114, 2010, 540, 1480, 3961, 1759, 593, 14940, 267, 5198, 267, 2085, 267, 14920, 267, 4008, 267, 1893, 267, 1362, 267, 2168, 640, 3924, 607, 1134, 607, 4984, 269, 3474, 573, 625, 12909, 827, 519, 1114, 6805, 1004, 4092, 538, 5245, 543, 875, 972, 814, 1044, 9840, 3823, 519, 6805, 3961, 269, 634, 2278, 849, 12909, 513, 2370, 827, 1010, 5198, 799, 568, 16971, 5025, 978, 5979, 268, 2026, 1014, 8241, 17929, 646, 15109, 5128, 1312, 3043, 543, 7489, 269, 1717, 267, 646, 5170, 547, 2446, 602, 646, 568, 8572, 547, 3717, 519, 16971, 1893, 543, 646, 568, 711, 4448, 547, 1010, 18577, 3338, 269, 3474, 573, 625, 6645, 519, 5467, 540, 519, 7092, 602, 6805, 1004, 723, 8854, 998, 1813, 547, 7130, 267, 30886, 267, 543, 811, 865, 17181, 602, 6818, 1256, 2221, 630, 13640, 611, 625, 267, 476, 1220, 277, 1916, 4322, 1079, 2474, 723, 1044, 1031, 30430, 543, 267, 789, 666, 581, 5916, 547, 20301, 1896, 10096, 269, 2026, 513, 2339, 540, 1249, 267, 891, 1079, 1913, 1404, 513, 1390, 1909, 538, 1818, 7415, 3604, 538, 938, 3232, 2729, 269, 11557, 7081, 568, 513, 17122, 1448, 538, 1373, 540, 3425, 2429, 1272, 269, 11557, 7081, 14122, 3023, 267, 4008, 5107, 543, 9163, 267, 25055, 543, 605, 21551, 269, 901, 7613, 568, 8915, 538, 938, 4555, 267, 4978, 267, 8456, 267, 2418, 267, 9021, 543, 3347, 563, 5882, 540, 12920, 532, 3118, 543, 519, 1930, 10678, 540, 519, 1650, 267, 799, 17772, 2354, 525, 519, 3375, 1063, 519, 1762, 812, 543, 519, 9176, 4807, 7996, 585, 741, 5721, 693, 519, 3760, 540, 8050, 267, 568, 554, 9994, 539, 676, 519, 9814, 543, 3762, 513, 1279, 9434, 12705, 593, 922, 3988, 685, 2247, 563, 763, 4563, 12280, 3361, 1483, 17732, 540, 4074, 538, 782, 3864, 2477, 269, 8092, 331, 3581, 15189, 519, 8375, 7569, 540, 13848, 676, 519, 4600, 269, 769, 1082, 3864, 2477, 32066, 15148, 1206, 13264, 856, 693, 519, 1439, 540, 454, 301, 18036, 267, 6424, 9652, 267, 6276, 29336, 543, 824, 3109, 22457, 20903, 338, 538, 4993, 779, 5842, 2372, 550, 514, 1533, 7890, 892, 630, 301, 344, 26474, 267, 476, 1220, 274, 1040, 14118, 10642, 676, 519, 9097, 2797, 17695, 626, 645, 24427, 568, 3490, 593, 31767, 19072, 7776, 626, 13624, 523, 21442, 454, 763, 3877, 540, 519, 6554, 4566, 723, 1044, 6854, 5728, 1813, 547, 3354, 4145, 269, 4475, 1870, 15364, 540, 519, 3354, 5234, 538, 519, 6519, 5600, 1797, 519, 20291, 3646, 543, 1797, 676, 1949, 543, 10986, 547, 1118, 2386, 0, 3528, 1325, 1460, 10753, 2033, 269, 18065, 269, 6583, 331, 2213, 693, 13638, 267, 5412, 476, 2918, 628, 476, 1001, 278, 267, 476, 866, 281, 6349, 281, 7367, 6751, 269, 589, 4015, 540, 5907, 3334, 602, 723, 1044, 19632, 543, 10562, 547, 1685, 513, 2016, 1599, 568, 4122, 5219, 547, 607, 513, 5547, 269, 634, 2262, 5547, 24283, 689, 519, 1249, 602, 3167, 1379, 1590, 2095, 689, 519, 2318, 12363, 540, 513, 1379, 2707, 998, 835, 610, 811, 5907, 3457, 543, 1394, 547, 519, 2942, 12363, 540, 513, 1379, 2707, 267, 7551, 8108, 513, 5547, 269, 1403, 519, 4296, 1063, 606, 5907, 3926, 543, 2901, 519, 2318, 610, 2942, 23525, 540, 513, 1379, 3761, 616, 29169, 267, 519, 5547, 786, 581, 7745, 543, 519, 3926, 786, 711, 1599, 563, 3528, 7261, 686, 16279, 3057, 329, 565, 12578, 269, 16359, 269, 6583, 331, 2213, 693, 13628, 267, 4873, 476, 3066, 628, 476, 1001, 278, 267, 476, 4905, 281, 4962, 281, 1556, 7537, 269, 16359, 3977, 29156, 950, 519, 1379, 3761, 6453, 568, 23060, 585, 2901, 3126, 610, 6252, 2914, 1600, 16546, 269, 18564, 602, 513, 6252, 268, 8588, 5179, 20205, 2773, 9838, 547, 513, 3126, 268, 8588, 5179, 4881, 693, 7466, 519, 1379, 3761, 6453, 563, 3528, 23770, 3733, 26713, 269, 12810, 269, 15618, 693, 13723, 267, 5437, 476, 5400, 628, 476, 1001, 278, 267, 476, 2641, 281, 4391, 281, 6812, 6751, 269, 3767, 779, 519, 1187, 8631, 269, 7388, 1154, 606, 5122, 4702, 4110, 543, 1287, 3478, 513, 2816, 538, 519, 2361, 1797, 596, 786, 1294, 513, 2603, 513, 2603, 513, 2603, 540, 891, 1085, 24136, 269, 898, 779, 1271, 547, 1174, 4010, 1018, 568, 2469, 593, 609, 891, 269, 2755, 789, 666, 630, 663, 786, 264, 1205, 1360, 1950, 267, 891, 616, 1175, 513, 1906, 540, 519, 1455, 12449, 547, 1205, 707, 3723, 532, 593, 563, 3528, 590, 26474, 30960, 269, 18065, 269, 15618, 693, 11728, 267, 5437, 476, 6187, 628, 476, 1001, 278, 267, 476, 2641, 281, 1626, 281, 1626, 6751, 269, 634, 1523, 540, 1950, 25317, 12857, 513, 19618, 6041, 585, 27856, 267, 29522, 267, 543, 1802, 4701, 267, 17929, 513, 5547, 779, 4908, 3210, 689, 3403, 547, 3977, 666, 581, 5462, 1210, 918, 309, 299, 543, 918, 12710, 267, 1141, 1142, 3693, 568, 8655, 519, 3617, 25317, 269, 634, 1883, 13429, 547, 713, 1448, 568, 602, 519, 3403, 547, 519, 5547, 1590, 2874, 9003, 540, 9823, 543, 5924, 18980, 18042, 6786, 269, 3767, 267, 713, 2079, 568, 581, 6905, 547, 1331, 17062, 3403, 6786, 676, 1210, 519, 6310, 2553, 540, 5487, 2897, 21810, 563, 3528, 10370, 23135, 27254, 710, 269, 12810, 269, 15618, 693, 10732, 267, 5437, 476, 4962, 628, 476, 1001, 278, 267, 476, 736, 281, 2537, 281, 4510, 6751, 269, 1306, 5941, 4505, 267, 513, 3059, 5547, 4564, 543, 6354, 12885, 1344, 23876, 607, 3167, 6786, 602, 666, 8263, 835, 540, 1079, 28696, 1107, 7954, 30041, 6453, 630, 528, 966, 9536, 264, 543, 7954, 268, 869, 6453, 630, 528, 717, 21254, 1040, 589, 3059, 5547, 3340, 513, 1379, 3761, 602, 666, 3132, 891, 1079, 28696, 267, 543, 891, 1482, 3761, 28696, 616, 849, 1031, 547, 31391, 1344, 538, 519, 1106, 540, 1079, 15581, 267, 610, 9352, 6786, 269, 4935, 267, 604, 513, 2016, 5547, 6843, 568, 693, 966, 9536, 267, 1287, 602, 5365, 568, 1767, 547, 4163, 513, 7954, 2048, 272, 685, 282, 952, 519, 6843, 568, 693, 717, 21254, 267, 1287, 519, 6843, 11438, 513, 7954, 2048, 271, 9957, 634, 3334, 538, 3059, 11387, 616, 2241, 593, 270, 4752, 17176, 602, 666, 1780, 7954, 2048, 272, 685, 543, 7954, 2048, 271, 685, 6786, 689, 835, 5547, 6843, 547, 1776, 269, 4107, 3335, 267, 891, 17176, 616, 11231, 547, 9192, 3403, 6786, 547, 3132, 606, 3977, 5365, 2687, 547, 2596, 7954, 3347, 269, 1280, 1383, 267, 835, 1134, 8153, 7954, 5547, 568, 606, 6730, 10766, 602, 10905, 1079, 3403, 6786, 547, 3132, 606, 3977, 602, 568, 519, 7954, 6730, 540, 519, 11378, 630, 328, 4318, 1421, 952, 1312, 3403, 272, 543, 3403, 273, 616, 513, 2048, 272, 8730, 1287, 519, 3977, 568, 513, 2048, 272, 685, 1916, 3528, 590, 26474, 30960, 269, 12810, 269, 15618, 693, 14349, 267, 5437, 476, 6860, 628, 476, 1001, 278, 267, 476, 736, 281, 6734, 281, 2918, 6751, 269, 769, 1840, 547, 2542, 713, 4051, 762, 621, 949, 581, 513, 1434, 2856, 585, 596, 547, 1224, 1250, 824, 4051, 762, 834, 19491, 16361, 3334, 543, 1018, 789, 798, 257, 547, 1205, 513, 1434, 1620, 540, 1018, 596, 616, 3257, 950, 2679, 513, 1788, 563, 3528, 10370, 23135, 27254, 710, 269, 18065, 269, 15618, 693, 13628, 267, 5437, 476, 6349, 526, 476, 1001, 278, 267, 476, 866, 281, 3374, 281, 3374, 6751, 269, 18329, 6786, 616, 6719, 2901, 676, 6453, 610, 1699, 269, 634, 31764, 8817, 4162, 540, 6453, 610, 1699, 6786, 666, 1491, 513, 1297, 540, 3029, 1519, 9823, 267, 18980, 18042, 630, 10193, 1634, 607, 8028, 1070, 4009, 5951, 267, 5276, 15155, 1186, 267, 543, 13942, 12296, 1110, 4327, 6786, 269, 16429, 639, 18042, 6786, 616, 5310, 519, 1034, 1271, 5365, 3029, 2094, 2899, 519, 5547, 3210, 547, 18980, 18042, 6786, 616, 1634, 267, 519, 1267, 666, 581, 20902, 547, 3589, 875, 519, 5547, 786, 4431, 547, 513, 1454, 3152, 3099, 540, 6786, 1210, 519, 6310, 2645, 540, 22263, 543, 5487, 2897, 21810, 563, 3528, 25014, 3821, 631, 790, 4068, 269, 667, 1675, 324, 269, 15618, 693, 10732, 267, 5239, 476, 3066, 628, 476, 1001, 278, 267, 476, 1240, 281, 4375, 281, 1704, 6751, 269, 590, 2438, 13503, 528, 1019, 3941, 666, 581, 2966, 547, 3132, 1463, 1699, 630, 17584, 264, 950, 7298, 1769, 267, 18342, 6771, 630, 7644, 1070, 610, 22292, 630, 10013, 264, 1648, 16716, 873, 269, 1452, 1019, 3941, 616, 1634, 607, 25675, 2281, 543, 616, 519, 4493, 585, 3859, 3167, 1648, 1949, 543, 6337, 839, 832, 269, 8616, 1776, 1106, 540, 26534, 267, 4122, 1031, 538, 5907, 543, 2780, 3937, 267, 32307, 7298, 1769, 610, 16843, 1648, 950, 1699, 10596, 998, 621, 269, 6270, 513, 3926, 568, 519, 5432, 1769, 15041, 9231, 26534, 630, 29612, 1916, 3528, 26450, 4068, 3752, 1052, 269, 667, 1675, 324, 269, 15618, 693, 14349, 267, 5239, 476, 2764, 628, 476, 1001, 278, 267, 476, 1240, 281, 3451, 281, 6349, 6751, 269, 1879, 606, 12746, 5365, 10596, 998, 513, 26534, 5665, 693, 610, 2282, 922, 4464, 2736, 1478, 1448, 267, 519, 5365, 5951, 845, 568, 25302, 269, 901, 1875, 1467, 10846, 2636, 585, 25244, 267, 1629, 617, 1637, 267, 543, 5365, 11544, 269, 769, 1840, 267, 6786, 616, 6383, 693, 2800, 9582, 267, 610, 7533, 23385, 540, 519, 3403, 4908 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7042, 4322, 15225, 948, 721, 5660, 519, 2189, 5075, 540, 1142, 7376, 269, 5994, 1373, 2111, 547, 1294, 875, 27673, 8709, 717, 26710, 7960, 689, 7206, 2241, 8916, 547, 2870, 11599, 25704, 2407, 540, 7553, 543, 3350, 269, 2107, 1739, 2605, 5866, 918, 1695, 5979, 781, 3460, 607, 1352, 8268, 1200, 3961, 267, 2528, 267, 543, 2123, 9620, 1369, 1200, 1582, 268, 1636, 20137, 269, 6250, 1746, 971, 606, 14266, 2636, 721, 547, 23365, 6000, 538, 519, 7376, 781, 7122, 267, 1565, 811, 827, 873, 982, 952, 649, 1185, 2938, 1367, 4773, 16559, 2066, 1585, 26847, 780, 1692, 798, 1225, 2209, 1711, 891, 2982, 888, 5785, 14945, 10501, 908, 513, 1395, 4919, 14266, 3322, 6297, 1382, 543, 5542, 540, 26620, 602, 1655, 2099, 519, 6074, 7376, 781, 1560, 540, 960, 269, 4354, 2209, 1522, 3442, 547, 1445, 593, 1808, 5712, 267, 6163, 267, 610, 4798, 538, 1931, 547, 2995, 513, 8903, 1650, 269, 1358, 849, 2015, 2188, 899, 2230, 267, 8654, 267, 543, 2095, 865, 8436, 723, 606, 11791, 1995, 1247, 3695, 519, 14266, 269, 1280, 1383, 267, 4952, 9683, 513, 19922, 1141, 11908, 744, 262, 298, 2465, 11738, 781, 7524, 5810, 7930, 1291, 596, 2509, 1200, 7493, 9390, 8916, 1107, 9327, 1405, 602, 1745, 6909, 2496, 4131, 781, 1413, 693, 930, 1483, 3734, 1806, 912, 5785, 21387, 265, 2878, 29445, 32008, 19159, 693, 7720, 7246, 4995, 7467, 540, 7073, 3203, 538, 1715, 3840, 4975, 4843, 606, 3573, 4015, 540, 7671, 32008, 19159, 781, 11265, 6272, 267, 11647, 267, 26911, 4837, 9486, 267, 543, 16493, 269, 901, 4847, 8436, 547, 9787, 519, 4560, 540, 1010, 3860, 3977, 543, 23507, 1010, 5499, 946, 540, 2326, 543, 3029, 563, 265, 2878, 312, 599, 16211, 918, 639, 4821, 281, 5606, 6541, 715, 1115, 1262, 4371, 693, 519, 670, 597, 3333, 1817, 333, 7467, 543, 31493, 20567, 12567, 10268, 1472, 476, 2568, 10367, 267, 18810, 267, 543, 1568, 593, 1957, 17364, 1614, 5756, 540, 5545, 7376, 962, 599, 16211, 918, 639, 4821, 781, 4876, 269, 7348, 619, 941, 26970, 676, 1200, 15040, 1135, 6390, 15956, 267, 30811, 3270, 267, 543, 15138, 5054, 780, 1103, 3932, 267, 1395, 4919, 24218, 2709, 513, 8748, 4316, 547, 5490, 2620, 883, 606, 7376, 781, 1272, 543, 960, 269, 1306, 1647, 1153, 1053, 267, 1620, 891, 5059, 10525, 2337, 22962, 938, 7071, 585, 5159, 262, 11428, 267, 5876, 267, 543, 1764, 593, 2486, 269, 1924, 1985, 942, 596, 3643, 606, 1148, 9754, 610, 19922, 267, 2638, 856, 1022, 21088, 24218, 910, 945, 6487, 267, 6148, 707, 1007, 5172, 7376, 19179, 1080, 6602, 972, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6124, 4658, 676, 8355, 5414, 590, 28225, 267, 5211, 3650, 7734, 267, 476, 13301, 6032, 563, 290, 2086, 10428, 17755, 337, 987, 568, 519, 2278, 540, 4557, 2835, 540, 6965, 267, 1519, 11354, 1290, 525, 547, 9628, 267, 8419, 31888, 267, 18599, 8074, 9248, 267, 543, 1034, 5063, 30619, 281, 31888, 585, 519, 3828, 12351, 11416, 630, 292, 764, 334, 4964, 267, 476, 1001, 277, 1070, 513, 15937, 626, 585, 519, 17240, 12688, 15356, 269, 1261, 814, 4607, 1082, 540, 3013, 779, 2101, 5339, 26065, 585, 1010, 960, 267, 1519, 519, 18301, 2917, 16515, 30835, 13815, 267, 513, 15566, 7335, 19314, 289, 12239, 15562, 8582, 281, 595, 26059, 2207, 12114, 5442, 4753, 10396, 8121, 21020, 2464, 11550, 297, 17614, 281, 28132, 4932, 303, 3036, 14473, 26353, 6730, 654, 3201, 9898, 645, 2894, 297, 4456, 2562, 11083, 5990, 808, 11246, 23360, 631, 27516, 9331, 267, 21832, 962, 3036, 298, 267, 476, 1001, 278, 454, 21579, 15243, 568, 519, 9030, 540, 6341, 15243, 22456, 585, 15339, 543, 5071, 563, 289, 12239, 15562, 8582, 281, 7705, 21984, 560, 1817, 333, 593, 476, 276, 1284, 4060, 267, 476, 1839, 17963, 267, 476, 11260, 25980, 676, 12756, 661, 747, 1817, 333, 693, 932, 17470, 327, 1446, 20155, 267, 5507, 454, 310, 293, 11520, 281, 28982, 7705, 267, 9684, 596, 585, 4947, 2221, 269, 7705, 21984, 560, 1817, 333, 281, 3733, 12257, 269, 654, 293, 11520, 281, 1548, 779, 519, 14266, 596, 786, 581, 6158, 827, 2221, 286, 8121, 281, 634, 14266, 594, 4076, 6074, 568, 513, 1397, 676, 519, 4436, 7376, 12756, 661, 747, 1817, 333, 693, 932, 17470, 327, 1446, 20155, 538, 5101, 5507, 538, 11354, 476, 1001, 277, 269, 898, 729, 1572, 476, 276, 3018, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12507, 4919, 1401, 3031, 1431, 257, 607, 851, 540, 834, 11286, 1315, 26888, 267, 18280, 9233, 267, 1401, 3031, 1431, 1315, 32719, 550, 26888, 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, 3848, 7170, 281, 5440, 673, 11814, 532, 281, 853, 2086, 9990, 910, 10289, 25734, 998, 5403, 720, 2439, 5970, 596, 2479, 4862, 827, 16826, 10655, 286, 898, 781, 513, 2442, 15908, 1141, 1004, 5531, 22827, 609, 1808, 4798, 610, 6272, 789, 899, 269, 2290, 2189, 1259, 547, 2972, 713, 2534, 568, 1572, 834, 9008, 673, 10655, 2437, 1141, 649, 2445, 22827, 1759, 593, 3838, 3584, 3544, 540, 1175, 2477, 610, 942, 5712, 269, 4653, 267, 1577, 781, 4685, 883, 3695, 519, 6249, 540, 661, 12702, 3201, 14510, 998, 2022, 720, 22827, 2439, 5331, 8066, 6263, 4773, 540, 1957, 8876, 3532, 6835, 689, 1472, 519, 1158, 269, 3962, 16826, 4564, 922, 1378, 1650, 267, 2943, 1927, 267, 891, 2984, 666, 4001, 721, 3407, 4245, 827, 9111, 267, 14619, 267, 543, 3160, 2924, 269, 1635, 4742, 22521, 19216, 5059, 593, 7862, 267, 649, 7832, 593, 606, 10578, 3460, 2066, 4529, 543, 21971, 269, 1924, 10544, 707, 3172, 4328, 4837, 267, 543, 1577, 781, 1376, 938, 7045, 2439, 1432, 4010, 798, 649, 1611, 950, 6158, 827, 1412, 3225, 1275, 286, 262, 15439, 2322, 267, 7862, 1797, 8156, 3025, 9425, 267, 7488, 540, 741, 4282, 267, 4978, 267, 610, 5759, 269, 901, 1523, 4249, 513, 1713, 1909, 538, 5935, 7239, 543, 18363, 875, 6608, 960, 269, 1677, 1174, 922, 2956, 1732, 267, 1577, 779, 1413, 693, 930, 11121, 1806, 1336, 593, 22827, 2439, 272, 269, 6468, 781, 7126, 281, 10801, 1686, 267, 2021, 10692, 2182, 585, 741, 1318, 547, 8917, 267, 960, 267, 543, 4309, 2069, 269, 15316, 6082, 723, 9976, 891, 10781, 609, 2027, 22827, 269, 1280, 3236, 267, 519, 7330, 5950, 513, 3126, 16033, 908, 4583, 4775, 13009, 4565, 1794, 619, 971, 607, 19626, 645, 269, 20900, 543, 28266, 20088, 269, 1452, 29752, 2021, 11542, 909, 1996, 8635, 543, 1500, 9434, 2242, 538, 2486, 780, 273, 269, 6406, 7126, 281, 3509, 22827, 5031, 1271, 19325, 538, 3540, 2924, 5322, 5001, 269, 1358, 13686, 2043, 945, 12703, 569, 23647, 585, 7292, 5126, 267, 11806, 266, 2924, 267, 543, 10333, 585, 7606, 609, 9124, 269, 2052, 596, 4952, 2870, 513, 10477, 2458, 720, 10023, 891, 16779, 5515, 286, 1548, 1131, 741, 5916, 5048, 6655, 827, 7862, 2496, 274, 269, 8836, 16844, 281, 3776, 3309, 1158, 29263, 1813, 547, 1114, 5389, 267, 4654, 267, 543, 9821, 269, 2368, 22827, 8661, 18371, 1143, 543, 3895, 9322, 1851, 1585, 2950, 269, 1306, 22521, 19216, 267, 649, 1451, 547, 5660, 1142, 2528, 781, 22464, 1247, 9301, 1455, 2418, 267, 971, 607, 2463, 543, 1620, 1107, 1898, 3334, 540, 7862, 780, 275, 269, 7025, 12983, 281, 8693, 1689, 5540, 1169, 1268, 593, 3047, 267, 855, 1419, 1346, 1034, 7925, 616, 2547, 3743, 585, 4929, 621, 269, 3414, 22827, 18995, 13155, 2249, 267, 5533, 267, 543, 2518, 8337, 267, 649, 3605, 2081, 547, 2149, 938, 4541, 543, 2327, 2104, 5481, 27836, 513, 2635, 1604, 269, 1879, 649, 1491, 1416, 540, 2470, 267, 649, 2259, 1776, 1106, 540, 7862, 1107, 4180, 2200, 2611, 2139, 585, 782, 2713, 7919, 780, 2026, 596, 3136, 707, 3408, 540, 22521, 10655, 10704, 593, 7862, 267, 3314, 602, 891, 2370, 1568, 540, 1148, 4163, 2462, 2093, 4502, 4687, 609, 1920, 543, 2828, 269, 18224, 707, 4015, 23217, 267, 4497, 1866, 538, 7391, 827, 1018, 1142, 16826, 19752, 267, 543, 5000, 873, 547, 6443, 707, 1391, 585, 1620, 543, 5009, 9698, 269, 8414, 10122, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6734, 8734, 476, 1220, 272, 22640, 538, 3013, 267, 11730, 594, 267, 3487, 589, 454, 20779, 7100, 538, 3013, 454, 2421, 5981, 529, 632, 570, 665, 4302, 6807, 454, 24127, 476, 272, 267, 3487, 589, 454, 4456, 32670, 4306, 519, 3209, 3615, 602, 13631, 1250, 3007, 1282, 1250, 3251, 538, 519, 2136, 2276, 267, 4986, 13351, 803, 811, 585, 322, 4601, 982, 519, 2489, 7862, 540, 2175, 269, 594, 11593, 4362, 519, 605, 323, 16406, 3310, 799, 713, 3119, 1249, 5751, 593, 519, 2898, 1576, 540, 2486, 267, 676, 4758, 513, 1978, 4287, 547, 1857, 6644, 267, 543, 513, 1978, 4557, 528, 547, 519, 4031, 282, 676, 18836, 532, 1007, 12366, 338, 547, 519, 12044, 7060, 267, 543, 15116, 6208, 547, 519, 18170, 269, 594, 3432, 1176, 9228, 602, 519, 3310, 540, 713, 1249, 11498, 2484, 3564, 519, 2797, 1915, 543, 519, 4031, 540, 519, 2197, 267, 543, 602, 621, 814, 1100, 1447, 10504, 936, 3540, 2486, 982, 936, 519, 6554, 282, 621, 5932, 8369, 267, 1266, 11367, 27742, 267, 5267, 519, 8723, 2853, 540, 1272, 267, 543, 1110, 5809, 8726, 621, 1281, 711, 3132, 269, 634, 811, 594, 4359, 538, 519, 1353, 540, 1977, 2486, 267, 519, 811, 594, 9228, 602, 519, 7862, 540, 2175, 568, 519, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12749, 673, 11814, 532, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 853, 10102, 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, 7170, 281, 28304, 3281, 14601, 20351, 10263, 3414, 11644, 543, 24238, 692, 1262, 3721, 476, 272, 5093, 25506, 519, 9046, 454, 308, 2955, 602, 31017, 4638, 2623, 610, 3023, 8213, 666, 11874, 1764, 707, 1272, 543, 3347, 269, 1403, 596, 1265, 3054, 8572, 547, 1852, 707, 2712, 2471, 5103, 2942, 4539, 267, 621, 949, 581, 942, 547, 3343, 948, 269, 901, 2376, 786, 1683, 5583, 593, 5883, 891, 5615, 998, 3635, 543, 11009, 2553, 780, 1262, 3721, 476, 273, 5093, 13693, 513, 12333, 454, 11854, 752, 609, 513, 2790, 1072, 3318, 945, 24870, 538, 8156, 4638, 22079, 687, 269, 1358, 666, 2709, 1489, 267, 4879, 267, 543, 10531, 2126, 2994, 269, 2755, 16706, 543, 8026, 11009, 616, 6225, 267, 789, 1058, 9148, 3318, 3797, 2864, 982, 5372, 621, 780, 1262, 3721, 476, 274, 5093, 8073, 606, 11644, 13705, 710, 454, 14946, 513, 5812, 15904, 8430, 3358, 547, 707, 7375, 543, 2168, 5759, 269, 12056, 538, 2834, 9025, 5751, 971, 607, 4881, 267, 10977, 267, 15203, 267, 610, 7098, 984, 923, 13847, 1439, 6973, 1231, 602, 2087, 7099, 543, 2569, 4160, 269, 23848, 2866, 849, 814, 2566, 3146, 12340, 1324, 2640, 269, 5590, 10853, 3853, 543, 2333, 8515, 7930, 936, 942, 780, 1262, 7659, 17785, 4995, 21480, 23736, 693, 2053, 950, 596, 3335, 1995, 2178, 2712, 2471, 547, 4497, 538, 31017, 4638, 2623, 269, 29799, 1346, 25372, 609, 2635, 2238, 780, 1262, 3721, 476, 275, 5093, 6657, 24238, 9828, 454, 24823, 622, 3232, 9066, 7886, 2519, 593, 7244, 543, 11005, 269, 2422, 11461, 1199, 14591, 2139, 2228, 610, 2015, 11504, 1895, 5049, 269, 9861, 1459, 538, 519, 4090, 6971, 14221, 4555, 543, 26351, 2404, 609, 31017, 4638, 2623, 780, 1262, 28223, 4995, 8347, 6220, 10649, 2259, 883, 707, 6296, 269, 18639, 10905, 2168, 2022, 999, 267, 7362, 1740, 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 ]
[ 1996, 21734, 4187, 267, 1883, 5057, 540, 519, 2962, 1544, 585, 519, 6820, 2657, 8232, 3397, 12629, 630, 21203, 6347, 994, 763, 654, 29151, 295, 2535, 919, 538, 519, 1158, 6008, 1359, 9730, 540, 519, 23435, 6347, 267, 9250, 538, 476, 1001, 275, 267, 607, 606, 25129, 269, 634, 23435, 6347, 10872, 568, 513, 4745, 14365, 712, 1063, 519, 2136, 2276, 540, 3013, 543, 811, 982, 476, 2412, 824, 6082, 267, 538, 1840, 547, 3486, 14540, 267, 971, 607, 14959, 267, 519, 654, 29151, 295, 543, 14174, 302, 269, 2060, 21365, 21734, 4187, 1851, 922, 3119, 6859, 267, 713, 10872, 6663, 547, 17108, 3356, 2509, 513, 1158, 602, 568, 1732, 6870, 689, 11763, 2068, 6937, 543, 547, 3895, 1158, 1072, 3354, 607, 606, 3486, 10862, 563, 268, 6820, 11059, 4643, 593, 7537, 305, 630, 1001, 276, 994, 268, 594, 3722, 294, 32505, 7797, 630, 1001, 280, 994, 268, 7537, 305, 6820, 11059, 4643, 631, 261, 292, 630, 1001, 280, 994, 268, 14502, 5618, 593, 1216, 267, 19455, 267, 9882, 543, 16894, 2359, 547, 2061, 5563, 543, 2569, 519, 3262, 540, 21734, 4187, 630, 1708, 271, 994, 268, 4139, 7405, 593, 519, 946, 540, 17059, 15412, 10118, 2066, 519, 1480, 267, 3662, 543, 2030, 9922, 630, 1708, 271, 994, 268, 6820, 24285, 6828, 593, 4165, 574, 17853, 18650, 630, 21923, 294, 994, 268, 21864, 5943, 585, 5698, 593, 21734, 4187, 1107, 1927, 585, 2290, 2657, 630, 1708, 273, 994, 2622, 2657, 9257, 454, 5253, 543, 11982, 9257, 540, 519, 2136, 8315, 454, 2622, 31654, 1682, 9257, 454, 306, 15471, 1996, 21734, 4187, 666, 1152, 581, 6913, 950, 519, 1857, 267, 18915, 543, 2825, 1072, 8128, 2322, 891, 2518, 2994, 883, 1747, 693, 519, 3084, 1377, 563, 2690, 3084, 3662, 1072, 2533, 267, 7598, 519, 654, 29151, 295, 779, 954, 32744, 4441, 3322, 912, 268, 519, 4527, 540, 7850, 9086, 593, 519, 946, 540, 17059, 15412, 10118, 454, 268, 513, 18915, 3924, 799, 568, 1134, 8036, 543, 24892, 676, 1876, 454, 268, 519, 14305, 540, 519, 2556, 2200, 547, 7794, 27259, 7896, 865, 602, 789, 666, 3635, 519, 3617, 8060, 454, 28444, 1005, 519, 10009, 540, 11216, 896, 3617, 9086, 454, 12901, 756, 7821, 616, 711, 513, 20027, 1587, 799, 1058, 581, 11884, 2139, 585, 9042, 543, 946, 269, 4256, 9042, 1058, 581, 16155, 24892, 543, 519, 3892, 540, 4831, 10623, 527, 2472, 16094, 26793, 454, 293, 29183, 17284, 538, 519, 18915, 3924, 454, 763, 18915, 3924, 267, 538, 1312, 922, 1857, 543, 4357, 9922, 267, 814, 513, 2629, 1909, 547, 1404, 538, 29270, 21734, 4187, 267, 3226, 538, 13327, 4370, 519, 13310, 543, 6765, 540, 21734, 2472, 563, 2690, 713, 2601, 267, 519, 654, 29151, 295, 814, 849, 2919, 4808, 593, 519, 27259, 4065, 11759, 15099, 267, 8720, 519, 2596, 30304, 540, 513, 1134, 268, 6716, 2213, 3924, 799, 568, 882, 5050, 593, 1134, 2389, 11712, 543, 5265, 24892, 4648, 563, 11101, 267, 519, 654, 29151, 295, 15156, 606, 3617, 15424, 5943, 547, 2327, 3318, 7881, 543, 1434, 10350, 540, 27259, 7896, 1369, 519, 18915, 3924, 269, 2060, 713, 538, 2247, 267, 519, 25944, 568, 3384, 954, 32744, 4441, 543, 15961, 1644, 547, 519, 8647, 543, 11156, 540, 3084, 543, 6237, 6465, 21881, 27259, 645, 3672, 267, 799, 723, 519, 2556, 3656, 7060, 547, 936, 5408, 5232, 267, 7881, 267, 3318, 17284, 543, 519, 17181, 540, 1346, 4171, 2932, 568, 20025, 563, 1103, 519, 3068, 540, 21734, 4187, 267, 14830, 12579, 616, 851, 540, 519, 3070, 563, 22479, 13369, 20671, 15961, 585, 3084, 27259, 7896, 454, 17220, 17604, 568, 2629, 538, 4543, 3384, 543, 6932, 2477, 547, 3035, 519, 9086, 267, 5989, 543, 1480, 543, 2883, 2200, 2877, 547, 2936, 543, 16783, 609, 519, 654, 29151, 295, 4441, 563, 2026, 513, 1267, 267, 519, 654, 29151, 295, 2488, 11173, 1489, 547, 27259, 7896, 282, 538, 1880, 267, 676, 1797, 540, 519, 14346, 306, 11202, 3118, 630, 24834, 6672, 540, 13437, 540, 27259, 7896, 1916, 13010, 267, 519, 654, 29151, 295, 814, 2813, 513, 3060, 540, 2817, 674, 5914, 18745, 267, 12912, 676, 741, 6608, 267, 547, 1020, 610, 9337, 9086, 1644, 547, 519, 2504, 267, 1104, 566, 267, 3892, 543, 946, 540, 18915, 2472, 267, 543, 267, 1851, 824, 1919, 267, 547, 3715, 519, 5464, 540, 15084, 4616, 269, 1452, 2817, 674, 5914, 18745, 1683, 2930, 1489, 547, 741, 654, 29151, 295, 2817, 1546, 5586, 919, 269, 1677, 4266, 267, 1614, 3126, 540, 29468, 723, 1044, 22555, 538, 519, 2947, 4525, 540, 519, 654, 29151, 295, 543, 519, 8772, 3126, 568, 896, 1259, 563, 2171, 1142, 723, 513, 1909, 547, 1404, 1996, 21734, 4187, 563, 1607, 2985, 3947, 596, 1569, 547, 1585, 4282, 2326, 593, 519, 1966, 540, 21734, 4187, 269, 1452, 2609, 616, 1863, 14092, 947, 267, 5225, 1810, 1406, 19292, 547, 946, 873, 543, 1780, 873, 593, 563, 13328, 4165, 574, 17853, 17607, 10432, 454, 763, 3804, 540, 713, 3018, 568, 547, 6318, 4656, 540, 519, 1072, 4220, 15054, 676, 21734, 4187, 543, 547, 3895, 1434, 2259, 538, 713, 1858, 540, 6161, 267, 547, 3970, 519, 11944, 543, 3262, 540, 4187, 2429, 519, 1158, 563, 268, 24093, 2404, 609, 519, 946, 540, 17059, 15412, 10118, 538, 2831, 5001, 630, 1001, 276, 994, 268, 27259, 16392, 2472, 543, 10074, 281, 16832, 2645, 585, 1022, 2500, 3662, 1072, 543, 10304, 3609, 630, 1001, 271, 264, 0, 309, 6400, 1975, 344, 2264, 543, 4033, 5689, 2264, 454, 22416, 2264, 568, 513, 1826, 540, 17351, 3301, 2966, 547, 2800, 610, 17908, 1022, 1982, 30154, 3926, 267, 3028, 610, 3060, 1369, 707, 1870, 269, 2290, 1383, 1373, 22342, 2264, 799, 568, 2966, 547, 4283, 707, 2780, 3926, 267, 5531, 1239, 827, 596, 267, 543, 4464, 621, 547, 513, 3791, 18407, 1510, 707, 9844, 269, 6423, 2630, 2081, 547, 11574, 891, 2010, 540, 6285, 563, 272, 269, 2037, 762, 909, 3562, 15082, 4550, 2173, 531, 2264, 4027, 563, 273, 269, 2422, 4950, 3354, 10766, 1811, 547, 8524, 1543, 543, 10873, 585, 1634, 18453, 563, 274, 269, 8307, 11863, 11967, 3156, 547, 581, 2196, 563, 275, 269, 12305, 519, 5767, 3354, 10311, 585, 782, 3301, 267, 1519, 519, 5665, 1062, 563, 276, 269, 4762, 2682, 3984, 2861, 543, 3060, 3595, 31486, 1107, 771, 9994, 532, 538, 20129, 4296, 676, 9949, 563, 277, 269, 3550, 3908, 23070, 6589, 593, 513, 991, 26209, 4493, 799, 616, 711, 1031, 547, 2638, 4757, 610, 19584, 519, 1357, 563, 278, 269, 5590, 909, 5565, 16748, 24956, 1709, 630, 273, 11902, 264, 543, 4894, 4882, 639, 12323, 1022, 6589, 1100, 3476, 538, 946, 563, 279, 269, 2598, 762, 610, 1526, 1778, 1978, 5672, 4592, 267, 20072, 267, 610, 11991, 2533, 563, 280, 269, 5590, 909, 28417, 543, 4757, 12086, 269, 0, 19350, 616, 1806, 540, 513, 2985, 1354, 543, 1310, 513, 1257, 2914, 571, 6137, 2736, 568, 2813, 630, 8993, 269, 476, 274, 268, 1015, 543, 476, 274, 268, 1556, 267, 6606, 1040, 1403, 707, 2703, 2306, 946, 540, 9587, 267, 950, 29780, 513, 6241, 2736, 267, 1022, 21849, 1543, 547, 519, 1655, 540, 519, 23684, 519, 1747, 519, 2736, 568, 17332, 568, 2604, 323, 883, 519, 1739, 6241, 269, 769, 519, 476, 273, 1806, 896, 267, 8431, 476, 274, 268, 279, 15225, 519, 1257, 1354, 519, 6241, 2736, 267, 1247, 8431, 476, 274, 268, 280, 568, 1018, 519, 2985, 5526, 899, 1310, 519, 2736, 814, 1044, 2813, 563, 1103, 713, 13972, 2361, 267, 596, 7654, 666, 4188, 967, 757, 267, 1899, 19437, 269, 1717, 267, 938, 1719, 568, 538, 519, 1899, 267, 543, 519, 2985, 9397, 593, 519, 6587, 9184, 269, 901, 568, 2147, 609, 1875, 31771, 5624, 2705, 585, 1913, 799, 616, 9674, 676, 3834, 2380, 269, 6270, 2453, 8840, 693, 519, 9096, 540, 513, 4845, 616, 8353, 24312, 771, 921, 2084, 269, 1677, 1118, 2386, 519, 1913, 1832, 15217, 267, 649, 3580, 7747, 891, 2241, 3268, 9001, 1533, 6361, 7308, 19603, 563, 2252, 596, 991, 547, 7696, 930, 9184, 331, 1355, 20695, 3817, 538, 4179, 2517, 520, 1156, 787, 16443, 923, 1041, 14492, 270, 24108, 270, 519, 22984, 540, 513, 3561, 602, 30232, 519, 3044, 476, 279, 269, 276, 17723, 476, 1556, 6279, 267, 596, 991, 547, 946, 1357, 2985, 9397, 519, 1747, 519, 3898, 2242, 269, 634, 4855, 543, 29799, 1907, 666, 3343, 585, 3875, 2027, 3197, 269, 2368, 540, 873, 267, 899, 519, 4781, 958, 2139, 3834, 1156, 543, 519, 5037, 1665, 267, 616, 1875, 2745, 532, 3197, 269, 11524, 267, 1175, 899, 519, 900, 21686, 991, 811, 982, 513, 2582, 1883, 560, 6593, 547, 3132, 269, 4107, 1004, 1810, 5889, 339, 899, 547, 723, 741, 2012, 3190, 539, 609, 267, 543, 707, 20148, 7959, 519, 1482, 1505, 827, 519, 2754, 2012, 269, 2422, 25156, 3834, 1156, 566, 547, 3247, 6478, 689, 12270, 1978, 1913, 563, 1607, 666, 1419, 581, 3730, 585, 1257, 538, 28795, 9587, 267, 2147, 547, 14786, 269, 2098, 310, 9915, 1223, 267, 18562, 267, 581, 1031, 547, 1688, 2275, 2761, 543, 7816, 3344, 540, 1899, 22249, 752, 7180, 269, 634, 1739, 3349, 2488, 513, 7050, 3942, 2070, 540, 2188, 602, 3310, 875, 513, 1603, 1062, 12109, 1186, 1257, 593, 519, 9096, 540, 513, 1899, 563, 17504, 3096, 519, 1032, 689, 519, 4266, 596, 8359, 547, 9337, 519, 5729, 21849, 1543, 1369, 519, 20927, 269, 1411, 666, 8749, 519, 4216, 538, 519, 20801, 3046, 547, 1847, 3533, 676, 1259, 540, 519, 10624, 267, 610, 946, 519, 15561, 16181, 547, 31300, 555, 745, 519, 1806, 269, 634, 8525, 7822, 7872, 6087, 596, 547, 6445, 538, 519, 2898, 4282, 540, 513, 2985, 269, 3680, 519, 31112, 547, 946, 713, 4183, 547, 1711, 513, 21230, 4282, 269, 12882, 811, 982, 10978, 4282, 4778, 543, 3270, 602, 4339, 609, 519, 1257, 593, 519, 2985, 563, 295, 528, 714, 7267, 20514, 616, 10123, 1572, 607, 8880, 3652, 269, 1452, 15244, 4217, 721, 547, 5094, 6810, 540, 1257, 269, 1403, 11405, 272, 4769, 5889, 339, 4194, 707, 2721, 3724, 267, 2119, 4657, 519, 3561, 2070, 269, 21744, 519, 2070, 2671, 1522, 1305, 1055, 23935, 547, 5815, 4625, 269, 634, 28652, 2671, 568, 16069, 23935, 547, 11904, 27235, 543, 1952, 324, 691, 334, 581, 7413, 1055, 269, 901, 1357, 2985, 568, 513, 851, 540, 634, 31597, 674, 2632, 6651, 267, 606, 2606, 13944, 25156, 602, 6941, 519, 17950, 540, 23935, 543, 875, 547, 1305, 909, 23935, 267, 946, 873, 538, 1114, 5301, 543, 811, 563, 763, 2262, 22249, 752, 3959, 8060, 1018, 3029, 540, 5022, 616, 1350, 2174, 539, 1927, 547, 1106, 796, 19874, 762, 12882, 6919, 5889, 267, 4929, 595, 297, 298, 3197, 547, 13789, 899, 1875, 4211, 297, 298, 21849, 1543, 610, 13030, 17930, 269, 634, 3043, 2230, 4393, 4808, 723, 2907, 17515, 1022, 29601, 543, 2127, 2066, 519, 3296, 2736, 1354, 713, 2796, 568, 11117, 269, 589, 3561, 16163, 518, 949, 711, 1152, 3339, 1125, 1022, 10126, 9397, 267, 855, 10123, 12900, 1114, 2777, 3197, 610, 538, 1022, 824, 2013, 1184, 3043, 1858, 2687, 547, 1665, 1575, 3652, 269, 5221, 22898, 4393, 4523, 1310, 519, 16163, 532, 3942, 267, 621, 3884, 1406, 12492, 762, 547, 2847, 633, 891, 3197, 585, 18908, 1782, 563, 763, 1899, 568, 21401, 267, 538, 1114, 2453, 267, 543, 891, 865, 10777, 10690, 12490, 666, 1267, 538, 8933, 269, 2142, 18762, 267, 1498, 267, 607, 513, 1439, 1267, 540, 3834, 1156, 566, 568, 7307, 538, 513, 513, 2603, 811, 7294, 1505, 267, 543, 519, 3561, 786, 1869, 1246, 519, 13210, 649, 5889, 557, 2938, 909, 3842, 713, 1377, 269, 1809, 950, 596, 946, 519, 2598, 17917, 776, 14523, 1156, 267, 596, 3580, 5397, 769, 17637, 547, 8237, 519, 2262, 9003, 1369, 519, 5544, 596, 723, 6074, 269, 901, 3959, 666, 10123, 581, 2356, 1031, 693, 519, 2427, 540, 519, 3834, 2380, 3959, 538, 1931, 602, 950, 9397, 2049, 513, 3834, 523, 568, 17332, 267, 607, 829, 519, 3044, 538, 2835, 269, 634, 2014, 1004, 7696, 513, 1875, 31771, 1858, 1318, 883, 513, 3561, 568, 547, 2226, 1079, 610, 811, 2453, 1927, 593, 519, 9838, 1899, 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 ]
[ 540, 4708, 2476, 689, 519, 554, 755, 548, 543, 11861, 548, 269, 2991, 3275, 540, 1085, 3234, 4771, 543, 9494, 267, 649, 6368, 1185, 2614, 2724, 585, 513, 1524, 8569, 267, 865, 649, 3459, 15388, 1114, 16973, 780, 2171, 16686, 2390, 667, 592, 16049, 910, 4330, 607, 1412, 821, 540, 519, 1034, 7199, 262, 2943, 5356, 1412, 16341, 811, 10097, 3681, 9538, 2311, 1101, 16145, 267, 1256, 1346, 8604, 14869, 282, 2705, 267, 1310, 7487, 1018, 3116, 729, 856, 972, 630, 9802, 325, 1515, 267, 4896, 24047, 649, 23125, 1946, 711, 2285, 621, 513, 8929, 286, 1924, 1055, 649, 4682, 267, 4712, 547, 1265, 6000, 513, 1753, 1369, 938, 6578, 780, 5978, 3406, 3366, 721, 547, 1079, 3601, 602, 533, 31985, 938, 1719, 1107, 513, 29413, 544, 6416, 2469, 585, 11278, 280, 269, 279, 2929, 543, 513, 844, 5593, 19887, 11720, 539, 693, 11278, 12573, 267, 1822, 269, 2372, 924, 519, 4334, 267, 3884, 1405, 621, 286, 8616, 1945, 827, 1142, 16668, 721, 538, 269, 11910, 621, 20949, 267, 7279, 267, 610, 1175, 10750, 561, 684, 2329, 267, 855, 1354, 6616, 1732, 267, 649, 4956, 547, 1491, 513, 6251, 1413, 693, 1312, 780, 763, 544, 6416, 729, 18198, 1107, 18899, 19683, 267, 12627, 669, 28888, 4536, 267, 6989, 3562, 268, 576, 4979, 9486, 6772, 8504, 18932, 10651, 269, 898, 5433, 899, 19480, 883, 513, 18912, 9661, 269, 1306, 649, 8268, 2417, 267, 1498, 267, 18015, 7902, 538, 519, 3655, 9809, 1228, 269, 1703, 941, 20984, 538, 519, 8122, 267, 25768, 11443, 267, 543, 4191, 540, 4049, 14927, 1145, 2429, 519, 2679, 269, 22582, 267, 602, 646, 11998, 3902, 11090, 4769, 1405, 3100, 3833, 865, 11389, 32208, 15042, 269, 2353, 602, 1350, 527, 1562, 5963, 3884, 1405, 4154, 13718, 11514, 24711, 2989, 267, 649, 959, 644, 3022, 2059, 547, 2070, 519, 19887, 269, 6008, 6137, 3330, 267, 649, 7948, 1405, 3494, 875, 18241, 543, 18136, 621, 5433, 3379, 547, 519, 4411, 6264, 16725, 540, 519, 544, 6416, 269, 8786, 267, 2230, 729, 3908, 267, 855, 7943, 23953, 538, 998, 1804, 15922, 9486, 267, 27283, 28292, 2250, 601, 6821, 24224, 609, 1920, 6337, 269, 6736, 922, 16434, 2450, 267, 519, 1747, 2234, 7007, 14246, 543, 2648, 269, 1656, 7058, 1018, 286, 3502, 513, 2582, 13451, 267, 2110, 5547, 267, 610, 9044, 838, 648, 538, 8289, 2439, 291, 904, 2663, 267, 1247, 7234, 938, 2833, 936, 12129, 267, 649, 7691, 1945, 7096, 269, 3776, 9909, 22821, 1405, 4957, 1107, 649, 1869, 4941, 513, 12560, 18956, 689, 960, 269, 1809, 6148, 1018, 649, 2877, 7012, 1405, 30832, 1782, 11623, 4904, 609, 1566, 12040, 29939, 902, 269, 9320, 1018, 5963, 20974, 1229, 729, 4466, 513, 1747, 2407, 540, 4313, 267, 8788, 267, 543, 1863, 689, 2101, 7293, 2152, 780, 4517, 1287, 3357, 519, 4729, 6335, 1100, 835, 4718, 4947, 269, 2201, 513, 627, 574, 267, 649, 11643, 3091, 585, 1312, 3601, 910, 4224, 5377, 536, 1749, 267, 6236, 741, 4890, 4502, 269, 21001, 1529, 3585, 267, 789, 7608, 873, 1107, 519, 22673, 540, 519, 544, 6416, 11235, 547, 2759, 9271, 267, 543, 519, 8227, 540, 519, 19887, 20109, 676, 938, 9758, 7071, 585, 1200, 18803, 705, 1712, 780, 3383, 1934, 649, 616, 1631, 267, 2713, 25747, 2479, 1310, 538, 938, 12691, 6292, 540, 8075, 269, 4438, 3018, 17058, 267, 649, 21078, 538, 519, 6263, 6366, 267, 11981, 1169, 3141, 26569, 4090, 1927, 269, 3973, 2097, 32300, 267, 649, 9101, 547, 519, 5493, 7652, 544, 6416, 267, 16475, 2828, 543, 11240, 532, 538, 922, 5318, 5624, 1510, 20468, 827, 21338, 922, 20924, 269, 5808, 1131, 4312, 2219, 938, 3460, 998, 667, 592, 16049, 1483, 10040, 1131, 1291, 721, 1934, 286, 5020, 2386, 1281, 12235, 7455, 27750, 3006, 256, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 1683, 513, 15059, 540, 519, 1034, 7199, 543, 2547, 7199, 1483, 10040, 3681, 2139, 538, 667, 592, 16049, 538, 6476, 547, 824, 16973, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 519, 1034, 909, 3562, 15082, 1344, 593, 1483, 10040, 5777, 538, 667, 592, 16049, 610, 824, 16973, 269, 1717, 267, 2687, 547, 2487, 5359, 267, 519, 11667, 3959, 1871, 538, 667, 592, 16049, 568, 1472, 11278, 16020, 267, 1822, 267, 1818, 621, 835, 540, 519, 1034, 7199, 16973, 538, 5507, 269, 2368, 540, 519, 1034, 29413, 5321, 538, 667, 592, 16049, 666, 1942, 909, 547, 11278, 1015, 2929, 610, 811, 269, 8528, 4002, 519, 824, 1688, 267, 972, 616, 849, 930, 811, 10097, 3681, 538, 667, 592, 16049, 267, 971, 607, 6306, 906, 610, 4130, 5321, 267, 799, 666, 2039, 689, 11278, 7742, 267, 1822, 547, 11278, 4335, 267, 1822, 269, 8528, 2691, 9236, 667, 592, 16049, 547, 824, 16973, 538, 5507, 267, 621, 568, 1271, 547, 4063, 602, 5507, 3294, 568, 1634, 585, 922, 1164, 3959, 5777, 269, 2368, 540, 519, 1034, 7199, 16973, 538, 5507, 1331, 2904, 325, 1515, 267, 12928, 2074, 8822, 267, 543, 5617, 6588, 16129, 267, 1141, 519, 11667, 3959, 5777, 666, 2039, 689, 11278, 273, 268, 28462, 276, 2929, 610, 811, 269, 769, 4334, 267, 930, 540, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 1103, 713, 1770, 267, 649, 786, 2263, 513, 4241, 5690, 1572, 519, 590, 1074, 1817, 333, 11860, 333, 31463, 5690, 269, 901, 5690, 568, 1031, 547, 1265, 513, 18440, 540, 513, 5119, 971, 602, 519, 4737, 543, 6241, 18304, 616, 3160, 547, 9138, 2418, 269, 898, 568, 1419, 1031, 538, 4610, 971, 607, 9297, 543, 2780, 2257, 269, 2913, 781, 4685, 883, 621, 2439, 5575, 267, 1577, 781, 1174, 1018, 513, 5119, 568, 269, 589, 5119, 568, 513, 14328, 5044, 540, 2338, 11231, 538, 9343, 543, 9587, 269, 1280, 1383, 267, 513, 476, 273, 343, 273, 5119, 5654, 899, 713, 1384, 16465, 17961, 21421, 8679, 320, 1299, 536, 8607, 454, 322, 1299, 546, 454, 17910, 21421, 8679, 9681, 1103, 5124, 267, 649, 666, 2099, 513, 5119, 607, 513, 1592, 540, 8638, 269, 1280, 1383, 267, 519, 1657, 5119, 666, 581, 6719, 607, 1384, 3499, 7090, 454, 9795, 815, 20886, 320, 267, 536, 3910, 1496, 322, 267, 546, 27663, 7884, 3086, 267, 1577, 781, 2911, 827, 519, 590, 1074, 1817, 333, 11860, 333, 31463, 5690, 269, 901, 5690, 568, 1031, 547, 4336, 513, 5119, 971, 602, 519, 2040, 540, 2609, 538, 1142, 4737, 543, 6241, 568, 3160, 547, 513, 9138, 1871, 269, 901, 568, 1419, 3730, 950, 649, 1616, 547, 3339, 1125, 513, 5119, 610, 1118, 2386, 602, 621, 10742, 1978, 7355, 780, 763, 590, 1074, 1817, 333, 11860, 333, 31463, 5690, 1568, 676, 3124, 2299, 18440, 519, 9343, 543, 9587, 540, 519, 5119, 2394, 519, 18304, 540, 519, 9343, 543, 9587, 616, 1369, 513, 9138, 2039, 269, 901, 568, 2944, 676, 14921, 1142, 4737, 676, 513, 3815, 543, 1142, 6241, 676, 513, 3815, 269, 634, 2188, 616, 6074, 971, 602, 519, 18304, 540, 519, 9343, 543, 9587, 616, 3160, 547, 519, 9138, 2418, 780, 4131, 781, 1413, 693, 519, 3009, 585, 519, 590, 1074, 1817, 333, 11860, 333, 31463, 5690, 1384, 3499, 7090, 454, 3698, 16173, 1817, 333, 17624, 333, 31463, 27456, 267, 1295, 318, 628, 3306, 284, 272, 324, 268, 279, 267, 3193, 318, 628, 3306, 284, 272, 269, 271, 267, 3193, 318, 3438, 284, 1911, 271, 2187, 825, 678, 815, 476, 272, 1315, 5286, 27904, 27456, 267, 7852, 284, 272, 994, 825, 524, 815, 476, 272, 1315, 5286, 27904, 27456, 267, 7852, 284, 271, 2020, 825, 623, 318, 10134, 815, 5286, 6983, 4878, 27456, 994, 825, 1247, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 272, 264, 2999, 1295, 318, 628, 3306, 264, 26444, 2018, 610, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 272, 264, 3436, 3193, 318, 628, 3306, 264, 26444, 2018, 610, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 271, 264, 2999, 1295, 318, 628, 3306, 264, 26444, 2018, 610, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 271, 264, 3436, 3193, 318, 628, 3306, 17107, 1038, 524, 815, 476, 272, 1315, 623, 11053, 31715, 16868, 994, 1038, 678, 815, 476, 272, 1315, 623, 31715, 6262, 2020, 1038, 623, 318, 10134, 815, 5286, 6155, 328, 698, 16868, 1040, 25346, 27456, 1040, 25346, 18828, 6155, 328, 698, 6262, 11723, 825, 2132, 623, 318, 10134, 454, 7884, 4131, 781, 2736, 1524, 713, 3009, 1384, 272, 269, 634, 1599, 2387, 338, 1074, 1817, 333, 17624, 333, 31463, 319, 3217, 538, 513, 5119, 2387, 303, 319, 543, 1614, 18593, 6724, 281, 2387, 2381, 318, 628, 3306, 12452, 2387, 10946, 318, 628, 3306, 12452, 543, 2387, 10946, 318, 3438, 18269, 2387, 2381, 318, 628, 3306, 319, 543, 2387, 10946, 318, 628, 3306, 319, 616, 519, 5934, 543, 5021, 2418, 602, 519, 18304, 540, 519, 9343, 543, 9587, 666, 581, 269, 2387, 10946, 318, 3438, 319, 568, 519, 5021, 1297, 540, 23200, 602, 519, 5690, 666, 2196, 585, 780, 273, 269, 634, 4632, 2387, 337, 319, 543, 2387, 322, 319, 616, 3355, 1242, 547, 519, 23483, 540, 519, 18304, 540, 519, 9343, 543, 9587, 540, 2387, 303, 12452, 6606, 269, 901, 568, 2944, 1210, 519, 2387, 12639, 27904, 319, 1599, 267, 799, 18304, 519, 2609, 538, 519, 5119, 2059, 513, 9138, 7852, 780, 274, 269, 634, 4756, 2387, 303, 318, 10134, 319, 568, 3355, 1242, 547, 513, 5299, 540, 2387, 303, 18269, 901, 786, 581, 1031, 547, 4558, 519, 26987, 5119, 693, 1142, 21767, 780, 275, 269, 634, 5690, 1287, 13788, 513, 8520, 267, 799, 5170, 2394, 519, 18304, 540, 519, 9343, 543, 9587, 540, 2387, 303, 318, 10134, 319, 616, 1369, 519, 9138, 2039, 780, 276, 269, 18738, 519, 8520, 267, 519, 4632, 2387, 337, 319, 543, 2387, 322, 319, 616, 8242, 676, 12270, 476, 272, 676, 519, 12297, 1587, 540, 2387, 303, 319, 543, 519, 3105, 2418, 540, 2387, 337, 319, 543, 2387, 322, 18269, 901, 814, 519, 1198, 540, 18440, 519, 9343, 543, 9587, 540, 2387, 303, 27471, 277, 269, 634, 26987, 5119, 2387, 303, 318, 10134, 319, 568, 1287, 8242, 676, 14921, 2387, 303, 319, 676, 519, 15497, 14290, 4646, 676, 2387, 337, 319, 543, 2387, 322, 18269, 901, 568, 2944, 1210, 519, 2387, 12639, 6155, 328, 698, 319, 1599, 267, 799, 5932, 513, 15497, 5119, 689, 513, 476, 272, 291, 5044, 267, 543, 519, 2387, 25346, 319, 1599, 267, 799, 15824, 5119, 8691, 780, 278, 269, 634, 8520, 5170, 2394, 519, 18304, 540, 519, 9343, 543, 9587, 540, 2387, 303, 318, 10134, 319, 616, 1369, 519, 9138, 2039, 267, 610, 519, 5021, 1297, 540, 23200, 568, 6603, 780, 279, 269, 7053, 267, 519, 1599, 7024, 519, 26987, 5119, 2387, 303, 318, 10134, 27471, 763, 590, 1074, 1817, 333, 11860, 333, 31463, 5690, 568, 513, 3532, 1907, 585, 18440, 14290, 269, 898, 568, 1031, 538, 513, 3099, 540, 4610, 267, 1519, 9297, 267, 2780, 2257, 267, 543, 3684, 1565, 269, 1635, 1620, 875, 713, 5690, 1568, 267, 596, 666, 2744, 513, 4514, 7071, 585, 519, 1379, 540, 14290, 543, 741, 1082, 3156, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 16875, 21855, 9884, 7568, 6025, 4973, 5334, 6269, 677, 318, 8705, 940, 23919, 267, 14871, 23219, 940, 2020, 1038, 678, 815, 476, 272, 1315, 19073, 582, 322, 454, 1038, 1642, 19073, 582, 337, 267, 19073, 582, 322, 692, 1038, 623, 318, 10134, 815, 5286, 6983, 4878, 27456, 994, 1038, 1247, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 272, 264, 2999, 1295, 318, 628, 3306, 264, 26444, 3546, 610, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 272, 264, 3436, 3193, 318, 628, 3306, 264, 26444, 3546, 610, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 271, 264, 2999, 1295, 318, 628, 3306, 264, 26444, 3546, 610, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 271, 264, 3436, 3193, 318, 628, 3306, 17107, 2018, 524, 815, 476, 272, 1315, 623, 11053, 31715, 16868, 994, 2018, 678, 815, 476, 272, 1315, 623, 31715, 6262, 2020, 2018, 1582, 11519, 291, 272, 815, 5286, 6155, 328, 698, 18828, 4732, 638, 2465, 2763 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3167, 23041, 666, 581, 513, 2656, 543, 2653, 1184, 269, 3689, 267, 2708, 1018, 1826, 540, 1426, 596, 1616, 547, 556, 17742, 269, 1280, 15559, 610, 27156, 267, 946, 513, 1494, 609, 513, 19984, 543, 3002, 936, 1970, 547, 5420, 3002, 269, 1280, 4396, 3536, 267, 946, 513, 1236, 32576, 610, 31068, 3443, 936, 5420, 3002, 585, 1256, 8022, 269, 3680, 1210, 1164, 3002, 607, 621, 949, 6633, 519, 1426, 269, 853, 597, 519, 1426, 1419, 547, 2061, 23578, 563, 2690, 16741, 267, 840, 17742, 707, 14089, 547, 476, 23841, 13790, 543, 1747, 519, 16741, 2047, 593, 519, 1647, 24646, 585, 476, 1015, 268, 1428, 3764, 610, 2394, 12699, 998, 269, 3680, 1210, 1957, 10824, 607, 789, 616, 711, 14089, 1606, 12522, 543, 1223, 1376, 513, 3595, 952, 6534, 547, 1164, 5210, 563, 2005, 568, 1271, 547, 2973, 707, 14089, 5781, 547, 2061, 26151, 11935, 689, 7213, 6819, 267, 799, 666, 2014, 8673, 610, 1256, 513, 3595, 9651, 269, 1677, 2973, 26151, 4006, 689, 707, 14089, 267, 3575, 11256, 14614, 609, 1216, 883, 513, 13594, 543, 4019, 621, 1141, 2556, 1354, 530, 31441, 621, 2476, 609, 513, 14927, 12308, 563, 7661, 267, 1118, 2386, 602, 707, 3167, 23041, 814, 5094, 5679, 10849, 585, 519, 14089, 543, 23041, 1283, 865, 602, 596, 666, 946, 1312, 693, 519, 1482, 942, 952, 2877, 1510, 1022, 2152, 563, 21446, 2510, 547, 744, 1597, 4149, 12522, 7433, 1773, 919, 454, 26261, 10824, 616, 513, 10375, 4781, 585, 7674, 1426, 855, 789, 616, 711, 2922, 585, 946, 538, 606, 14089, 269, 1677, 3002, 1426, 538, 519, 14089, 267, 972, 616, 1896, 8925, 547, 14089, 1606, 12522, 1957, 10824, 602, 666, 581, 1031, 269, 1452, 8925, 616, 912, 268, 1325, 26891, 674, 11798, 623, 753, 454, 268, 12877, 516, 343, 19371, 2598, 1127, 454, 268, 595, 10984, 545, 2598, 1127, 454, 268, 8125, 545, 821, 645, 1136, 631, 1846, 454, 268, 32255, 13082, 623, 753, 454, 268, 10011, 11635, 4787, 4068, 1206, 454, 4322, 8925, 666, 6023, 1164, 5210, 543, 616, 2922, 547, 946, 538, 519, 14089, 269, 898, 568, 1271, 547, 4063, 602, 711, 782, 2326, 616, 5078, 585, 782, 2010, 540, 8286, 267, 865, 621, 568, 1655, 547, 2638, 519, 10672, 779, 5528, 1354, 1210, 873, 563, 8802, 8973, 2189, 3877, 267, 621, 568, 1271, 547, 1174, 519, 7687, 540, 1142, 4244, 269, 1280, 1383, 267, 4837, 8286, 949, 695, 2660, 952, 6534, 547, 6727, 2837, 2242, 267, 865, 621, 779, 1271, 547, 1577, 873, 3579, 1524, 1354, 11067, 269, 898, 568, 849, 1271, 547, 6023, 3905, 8286, 609, 14089, 5378, 1206, 610, 533, 1054, 1245, 619, 547, 2061, 17236, 563, 288, 3020, 1686, 1644, 547, 713, 1888, 568, 519, 5169, 540, 1957, 10824, 269, 634, 1101, 31601, 1957, 6676, 729, 11827, 538, 476, 5002, 275, 676, 9410, 6206, 525, 538, 11785, 269, 1358, 941, 30630, 607, 513, 811, 31978, 545, 4244, 547, 23431, 10824, 543, 941, 7620, 1500, 689, 23987, 1957, 29578, 269, 27009, 267, 1957, 10824, 2097, 538, 513, 3099, 540, 6272, 543, 616, 4922, 1031, 585, 9205, 2621, 543, 17552, 333, 923, 563, 8448, 2326, 547, 4483, 1426, 585, 8022, 454, 2691, 621, 2501, 547, 22151, 1426, 585, 8022, 267, 972, 616, 1896, 2326, 596, 666, 946, 6306, 689, 14089, 1606, 12522, 1957, 10824, 269, 1452, 8925, 2709, 811, 3681, 585, 7594, 7041, 1247, 4180, 3106, 543, 13418, 563, 2080, 616, 930, 3681, 547, 2015, 912, 268, 1325, 26891, 23240, 281, 901, 1570, 568, 8465, 543, 2653, 547, 3337, 267, 1818, 621, 3501, 585, 28277, 909, 1426, 538, 519, 14089, 610, 593, 513, 1989, 650, 563, 268, 623, 1105, 618, 1957, 281, 623, 1105, 618, 1957, 1568, 1134, 607, 513, 561, 10719, 538, 11256, 9212, 610, 607, 513, 3382, 585, 887, 8463, 8286, 269, 898, 779, 3002, 15033, 543, 1875, 3613, 1157, 267, 1818, 30749, 1454, 4443, 563, 268, 19371, 2264, 281, 14333, 15033, 4837, 8286, 971, 607, 12877, 516, 343, 666, 16641, 1164, 5210, 543, 960, 1134, 585, 11256, 22101, 518, 3421, 610, 887, 8463, 5388, 563, 268, 595, 10984, 545, 3434, 2264, 281, 595, 10984, 545, 8286, 2097, 538, 1082, 5546, 543, 7306, 543, 616, 4998, 585, 5986, 782, 5686, 540, 3536, 1519, 12403, 338, 267, 27130, 267, 15255, 1725, 553, 267, 3092, 563, 268, 8125, 545, 821, 1319, 338, 610, 11256, 9212, 281, 28541, 568, 2706, 8465, 543, 666, 581, 1031, 936, 476, 4335, 2053, 1354, 17596, 13868, 269, 1358, 666, 581, 3362, 2759, 883, 2450, 762, 4773, 952, 596, 991, 873, 7132, 789, 2461, 1390, 693, 711, 23578, 547, 1426, 799, 2306, 7738, 873, 7168, 4674, 1652, 563, 2005, 779, 1271, 547, 4063, 602, 1114, 2326, 2154, 1114, 5986, 2053, 538, 519, 14089, 282, 3976, 267, 2348, 606, 4977, 1620, 540, 1018, 2837, 547, 1305, 707, 14089, 693, 865, 602, 707, 1426, 29397, 9985, 1510, 8781, 568, 2629, 563, 2252, 596, 6430, 547, 5912, 689, 1210, 14089, 1606, 12522, 1957, 10824, 855, 5749, 1406, 2386, 875, 1279, 1142, 1570, 3217, 538, 519, 14089, 1107, 1118, 2386, 596, 798, 707, 1382, 1101, 676, 13288, 547, 23674, 2959, 593, 1018, 2837, 1281, 1957, 6633, 538, 519, 23041, 610, 2147, 14511, 563, 15563, 267, 2141, 3314, 3106, 3800, 950, 15175, 1063, 2326, 1247, 5986, 865, 602, 4986, 9397, 538, 519, 22984, 540, 8600, 741, 6980, 269, 1306, 609, 1022, 1650, 267, 1577, 721, 2671, 1945, 649, 11402, 7282, 713, 1888, 1765, 297, 2033, 2899, 19451, 569, 5116, 513, 1875, 268, 8576, 1606, 12522, 17375, 8670, 538, 519, 14089, 543, 8694, 909, 609, 513, 26151, 18397, 563, 29605, 547, 2057, 8380, 538, 519, 14089, 454, 26807, 2326, 1058, 711, 581, 2322, 538, 519, 14089, 267, 607, 789, 1223, 2014, 513, 3595, 610, 5305, 5739, 6464, 269, 898, 568, 1271, 547, 581, 18762, 950, 11093, 3688, 538, 519, 14089, 547, 2057, 3441, 543, 1761, 10898, 563, 268, 21311, 1107, 21311, 786, 15835, 538, 519, 14089, 543, 1223, 5732, 5305, 6757, 6464, 883, 519, 2011, 563, 268, 7433, 1107, 7433, 10824, 267, 23040, 9469, 267, 543, 28734, 786, 5337, 924, 538, 1164, 5210, 543, 1223, 1267, 538, 513, 3595, 563, 268, 15742, 5450, 1023, 1107, 2368, 8407, 267, 971, 607, 11956, 23240, 543, 7601, 267, 666, 8141, 610, 1267, 538, 19514, 5986, 952, 5116, 2047, 593, 519, 8022, 3693, 563, 2005, 568, 2629, 547, 2015, 799, 2326, 616, 2922, 585, 946, 950, 11256, 610, 5986, 538, 606, 14089, 269, 3958, 267, 621, 568, 19624, 547, 1224, 10672, 5528, 1354, 1210, 14542, 3434, 2264, 610, 27106, 2264, 563, 28139, 1067, 10036, 568, 513, 2442, 1570, 585, 13167, 855, 1058, 711, 581, 2322, 2047, 593, 1426, 7252, 610, 1031, 585, 4376, 17580, 1813, 547, 519, 1981, 540, 17694, 269, 5015, 267, 930, 759, 1231, 949, 5305, 6757, 32669, 952, 12699, 693, 1164, 5210, 543, 1058, 711, 581, 5116, 3330, 9065, 839, 563, 3080, 540, 1250, 2828, 1500, 519, 12161, 540, 8380, 741, 4427, 3118, 26889, 12109, 3899, 3330, 741, 14089, 1310, 30534, 621, 729, 972, 269, 634, 12109, 3899, 9575, 3595, 267, 11423, 741, 10051, 609, 8673, 543, 4929, 1713, 3441, 547, 741, 27115, 269, 898, 568, 2141, 1898, 547, 5595, 27902, 1018, 649, 1747, 3330, 938, 9065, 839, 547, 2057, 10913, 899, 713, 689, 9648, 563, 8794, 513, 17196, 14089, 9108, 610, 8925, 547, 2015, 454, 2691, 1210, 513, 17196, 14089, 267, 621, 779, 1898, 547, 1174, 519, 3106, 3800, 2877, 269, 4746, 267, 1896, 8925, 798, 711, 2154, 17196, 6165, 269, 2290, 4244, 568, 513, 547, 2120, 14089, 267, 799, 3091, 606, 2653, 543, 10357, 7888, 4244, 547, 17196, 5986, 269, 3958, 267, 23041, 339, 3591, 666, 581, 1031, 547, 5965, 6980, 1141, 2556, 563, 2005, 779, 1271, 547, 4063, 602, 972, 616, 2189, 3877, 11341, 547, 17196, 6165, 1256, 538, 5986, 30304, 899, 1957, 10824, 269, 769, 2489, 267, 1957, 2472, 616, 2922, 585, 946, 538, 519, 14089, 693, 5210, 2630, 476, 6110, 13790, 269, 1403, 596, 2461, 11842, 2048, 6343, 10917, 1281, 1957, 6633, 538, 14089, 16224, 621, 779, 1434, 547, 2015, 602, 1957, 17236, 1175, 1657, 476, 14596, 13790, 267, 10834, 2799, 4656, 609, 1022, 11256, 2326, 563, 302, 1597, 7738, 2409, 849, 4096, 593, 519, 2326, 1031, 950, 5986, 2094, 26151, 4006, 568, 711, 528, 13124, 29134, 269, 1717, 267, 952, 2656, 1922, 1460, 7738, 3435, 1810, 1406, 3411, 823, 267, 2015, 1210, 1290, 564, 547, 2973, 707, 14089, 3927, 563, 15563, 267, 2760, 8263, 606, 14089, 568, 1055, 8806, 1317, 17176, 5815, 865, 610, 2119, 30196, 513, 1733, 20071, 23051, 14089, 16924, 607, 23659, 17313, 949, 2049, 689, 942, 3562, 6066, 269, 5502, 267, 1902, 538, 1697, 5826, 540, 782, 14233, 543, 3343, 3318, 6351, 952, 2556, 563, 6962, 281, 13773, 15822, 543, 2422, 6970, 1081, 1879, 25392, 32027, 7433, 1773, 919, 538, 519, 744, 1597, 563, 26261, 10824, 616, 2653, 547, 946, 543, 26565, 540, 267, 855, 666, 596, 2322, 873, 538, 519, 14089, 286, 898, 568, 1271, 547, 3635, 13657, 950, 6236, 713, 4781, 269, 2755, 930, 1957, 10824, 949, 581, 13042, 607, 14089, 1606, 12522, 267, 621, 568, 1655, 547, 20093, 593, 519, 2427, 540, 13657, 543, 2057, 8380, 873, 538, 519, 14089, 15587, 269, 23560, 865, 1223, 5732, 1291, 547, 513, 3595, 9651, 610, 5305, 5739, 6464, 883, 519, 2011, 563, 2252, 596, 1590, 946, 1957, 10824, 538, 519, 14089, 267, 621, 568, 1271, 547, 798, 865, 5402, 269, 3550, 602, 519, 10824, 616, 13042, 607, 14089, 1606, 12522, 543, 1152, 946, 873, 693, 5210, 543, 546, 15342, 7150, 593, 519, 11183, 269, 769, 1840, 267, 1491, 1416, 711, 547, 20358, 519, 10824, 543, 1747, 873, 538, 513, 13719, 11256, 8670, 547, 1683, 1489, 563, 2005, 568, 1271, 547, 4063, 602, 930, 14949, 1957, 10824, 949, 711, 581, 14089, 1606, 12522, 267, 865, 621, 568, 1655, 547, 2015, 1210, 4244, 2326, 547, 2057, 1022, 3106, 10898, 563, 1103, 513, 3020, 1650, 1644, 547, 713, 1888, 267, 513, 3593, 4810, 513, 3595, 538, 741, 14089, 1310, 12394, 547, 3002, 909, 1957, 10824, 269, 634, 3593, 729, 18822, 547, 6952, 519, 3595, 2038, 543, 729, 2111, 547, 2322, 621, 856, 1354, 621, 3361, 1022, 3441, 269, 1717, 267, 519, 1995, 8711, 519, 2956, 540, 16706, 13657, 543, 4180, 602, 1022, 2326, 1031, 538, 519, 14089, 616, 2922, 543, 15951, 585, 971, 946, 563, 14454, 267, 621, 568, 1271, 547, 4225, 3106, 950, 6236, 8380, 1957, 10824, 538, 519, 14089, 269, 3680, 3257, 865, 8259, 789, 616, 4481, 13042, 607, 14089, 1606, 12522, 267, 543, 2141, 946, 13657, 547, 2061, 1022, 1761, 10898, 563, 5278, 12700, 6168, 32027, 7433, 1773, 919, 538, 519, 744, 1597, 912, 268, 32273, 483, 7433, 10824, 666, 581, 1031, 538, 519, 14089, 585, 513, 2110, 1974, 540, 942, 267, 855, 711, 585, 6905, 5712, 610, 693, 1164, 5210, 269, 630, 13126, 281, 670, 6064, 518, 994, 268, 32273, 483, 898, 568, 1271, 547, 946, 19756, 543, 3002, 15033, 1957, 10824, 950, 1210, 873, 538, 519, 14089, 269, 630, 13126, 281, 634, 1975, 16078, 661, 1846, 994, 268, 32273, 483, 3213, 730, 1957, 10824, 1058, 711, 581, 1031, 538, 519, 14089, 607, 789, 949, 5305, 5739, 6464, 950, 12699, 269, 630, 13126, 281, 634, 14173, 1013, 994, 268, 32273, 483, 898, 568, 5227, 547, 1747, 513, 11256, 6656, 896, 519, 1957, 6676, 1247, 11256, 538, 519, 14089, 585, 3773, 6617, 543, 547, 6952, 1022, 5671, 1186, 269, 630, 13126, 281, 932, 578, 327, 895, 994, 268, 32273, 483, 898, 568, 1655, 547, 2057, 1210, 1957, 10824, 538, 519, 14089, 15587, 543, 946, 14089, 1606, 12522, 8670, 2264, 971, 607, 4837, 610, 17375, 269, 630, 13126, 281, 5253, 7367, 994, 11902, 17988, 827, 2052, 1411, 10925, 7433, 1773, 919, 769, 634, 744, 1597, 454, 4692, 596, 2322, 1957, 10824, 538, 519, 14089, 888, 5591, 267, 621, 568, 711, 2922, 547, 2322, 1957, 10824, 538, 519, 14089, 607, 789, 616, 711, 3002, 15033, 543, 949, 6952, 3595, 610, 12520, 5739, 6464, 563, 1692, 547, 2973, 26151, 4006, 689, 14089, 888, 300, 1460, 11256, 14614, 543, 1216, 547, 1711, 513, 5394, 13594, 267, 4019, 621, 593, 519, 26151, 4006, 543, 1577, 621, 1694, 585, 476, 1789, 3764, 269, 3973, 267, 28103, 609, 513, 562, 14125, 11453, 543, 27125, 609, 1216, 563, 2710, 1733, 20071, 23051, 9065, 839, 2490, 1055, 8850, 888, 5278, 3631, 540, 1733, 20071, 23051, 9065, 839, 723, 606, 13128, 9505, 11325, 4183, 267, 1247, 930, 798, 711, 269, 4475, 267, 621, 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 ]
[ 2161, 3642, 1907, 666, 948, 11126, 2860, 4999, 3797, 517, 5412, 476, 272, 267, 476, 1708, 271, 693, 476, 1015, 281, 4962, 993, 454, 12867, 538, 18940, 723, 2919, 513, 3684, 19543, 1907, 602, 8308, 25221, 875, 1114, 2860, 5061, 6146, 2068, 2281, 267, 2687, 547, 513, 1957, 3370, 13638, 676, 7186, 18058, 563, 268, 5822, 6644, 4957, 6089, 2860, 2126, 267, 12873, 12680, 517, 5412, 476, 272, 267, 476, 1708, 271, 693, 476, 279, 281, 4366, 993, 454, 763, 2160, 540, 17857, 9435, 4741, 568, 835, 540, 476, 10170, 2817, 9435, 4659, 17393, 793, 730, 2860, 7740, 18487, 1141, 2550, 723, 513, 476, 1839, 260, 3152, 4960, 540, 6668, 982, 1346, 693, 824, 2860, 4429, 16129, 29078, 5240, 0, 6624, 1004, 1810, 1406, 3494, 538, 621, 855, 267, 602, 3069, 666, 581, 8810, 4636, 269, 634, 1977, 5326, 568, 1272, 267, 15698, 543, 519, 13287, 540, 8788, 269, 5221, 540, 6214, 543, 3388, 2469, 593, 538, 519, 1158, 267, 519, 1977, 5326, 4667, 11389, 778, 762, 269, 5020, 269, 15526, 19262, 547, 2661, 741, 1378, 563, 2026, 3160, 4316, 568, 1305, 538, 3013, 267, 621, 568, 513, 2339, 540, 945, 568, 4712, 547, 1265, 1346, 3255, 269, 634, 1977, 5326, 568, 9800, 543, 1134, 267, 855, 1152, 513, 7872, 585, 1346, 945, 616, 8348, 547, 269, 634, 7819, 5326, 28107, 519, 1379, 540, 2182, 960, 269, 3509, 949, 1294, 621, 607, 804, 7865, 267, 855, 621, 568, 513, 4570, 1448, 602, 2486, 6772, 23697, 268, 602, 1004, 945, 616, 12592, 543, 9141, 786, 2141, 1265, 513, 1259, 547, 3035, 741, 3853, 269, 21322, 4354, 773, 267, 945, 5342, 538, 21722, 1382, 593, 454, 1432, 3013, 31283, 1677, 2725, 3013, 814, 1114, 10096, 547, 1142, 12504, 538, 1114, 2829, 267, 1256, 30707, 689, 1114, 2477, 723, 1114, 2093, 540, 3013, 269, 2368, 1589, 621, 779, 13348, 5328, 543, 12703, 267, 621, 779, 513, 1007, 4316, 585, 873, 547, 2087, 741, 6197, 269, 2755, 1866, 723, 2539, 6788, 540, 3013, 267, 621, 1522, 711, 2743, 741, 4441, 540, 2713, 610, 741, 2212, 10324, 540, 741, 2197, 814, 5143, 873, 2942, 1919, 827, 3013, 269, 6787, 596, 899, 621, 610, 711, 267, 621, 779, 513, 1753, 547, 936, 476, 4968, 2929, 4961, 543, 1034, 540, 873, 616, 10583, 547, 581, 606, 1977, 269, 14755, 782, 540, 713, 267, 594, 786, 581, 11589, 1250, 2093, 593, 1018, 3013, 1797, 547, 803, 267, 594, 723, 6074, 1614, 3532, 1913, 602, 594, 1589, 602, 1655, 2099, 938, 5851, 543, 519, 891, 1614, 1913, 786, 723, 454, 1607, 1367, 1143, 4278, 1882, 1282, 519, 21829, 2782, 607, 519, 4892, 2813, 741, 1378, 11180, 4182, 538, 3210, 547, 513, 21257, 602, 1131, 711, 1450, 873, 547, 1827, 2933, 630, 289, 749, 1695, 476, 16318, 1040, 10572, 1143, 23185, 519, 1977, 5326, 540, 1732, 532, 835, 779, 1272, 1210, 835, 779, 1378, 27497, 269, 898, 729, 519, 10747, 16809, 602, 3366, 23806, 856, 7178, 547, 1376, 7192, 3306, 269, 5455, 2394, 519, 476, 4198, 271, 338, 267, 2705, 2676, 10673, 1406, 6733, 7982, 25303, 10787, 22641, 267, 606, 1977, 2278, 2899, 1767, 968, 301, 984, 1328, 2731, 11099, 538, 7862, 19037, 892, 543, 713, 14034, 3020, 585, 1896, 4128, 269, 2290, 971, 2601, 568, 267, 621, 568, 5176, 7543, 585, 7862, 267, 543, 8788, 547, 30598, 269, 1280, 5481, 4961, 540, 519, 2136, 2276, 723, 1044, 20678, 547, 723, 2698, 7862, 538, 741, 4948, 2729, 269, 4658, 1616, 3160, 2924, 267, 3160, 2628, 267, 3160, 2069, 3255, 269, 1717, 267, 711, 1082, 1004, 1616, 547, 798, 3160, 960, 267, 1205, 3160, 4539, 267, 610, 10505, 8449, 547, 2229, 3652, 543, 6042, 563, 2108, 2690, 1082, 519, 1977, 14134, 814, 1831, 513, 3781, 332, 732, 892, 7150, 12672, 773, 9995, 619, 267, 476, 1001, 277, 30814, 15443, 28371, 267, 1282, 835, 540, 1010, 11044, 1310, 1373, 11212, 21616, 609, 519, 2197, 543, 922, 1164, 3928, 540, 922, 4961, 593, 10304, 269, 901, 10839, 267, 10525, 519, 2631, 602, 538, 1699, 3013, 609, 875, 3388, 568, 2469, 267, 519, 1977, 14134, 814, 1631, 5828, 883, 513, 2347, 3190, 602, 1100, 835, 6499, 547, 979, 998, 609, 269, 634, 11566, 2566, 543, 824, 5626, 12503, 602, 2097, 609, 519, 1977, 14134, 568, 711, 4502, 519, 2566, 267, 5626, 267, 543, 3929, 3441, 585, 930, 1004, 543, 2965, 666, 2014, 811, 2800, 982, 1434, 585, 873, 269, 1358, 1131, 2864, 581, 15508, 2635, 982, 1439, 909, 2618, 10999, 8697, 538, 1931, 547, 3914, 519, 865, 1572, 1977, 14134, 269, 898, 568, 6956, 602, 2182, 960, 4422, 883, 519, 1977, 14134, 267, 855, 972, 568, 513, 5386, 1899, 1141, 2614, 568, 2614, 563, 763, 11361, 267, 519, 2021, 267, 519, 1004, 540, 2681, 269, 1358, 782, 3068, 7130, 543, 621, 2306, 513, 2182, 4305, 267, 8236, 741, 1977, 14134, 267, 3592, 7543, 269, 4354, 2917, 779, 654, 1057, 267, 15443, 344, 267, 543, 15867, 758, 338, 782, 723, 606, 1977, 14134, 267, 855, 789, 2760, 3035, 621, 269, 1358, 782, 1616, 513, 2241, 1272, 1141, 789, 616, 5701, 609, 2463, 543, 4847, 547, 1489, 2933, 269, 7183, 540, 873, 1205, 1018, 789, 1616, 563, 6701, 3013, 1412, 338, 11344, 3255, 4502, 519, 1981, 11082, 3068, 286, 2368, 8056, 580, 7847, 941, 2016, 519, 4960, 547, 3035, 519, 11344, 7450, 543, 1866, 14201, 1406, 607, 18822, 1547, 1358, 1412, 557, 1185, 9909, 593, 875, 789, 786, 3035, 513, 1732, 4960, 540, 2713, 269, 769, 382, 357, 4131, 3013, 2142, 1390, 11088, 267, 382, 357, 2854, 676, 18999, 8725, 24806, 646, 2829, 267, 2485, 357, 763, 6634, 945, 723, 4986, 585, 938, 2628, 267, 4849, 519, 5326, 602, 1412, 338, 3592, 4666, 2221, 382, 357, 269, 3509, 11082, 602, 5795, 3388, 2476, 1175, 585, 513, 1732, 1272, 3893, 4986, 538, 2132, 563, 1103, 799, 1004, 689, 1585, 2477, 2097, 547, 519, 2136, 2276, 547, 2744, 13884, 543, 513, 7123, 1747, 538, 1272, 269, 634, 11082, 798, 711, 723, 513, 5187, 2065, 3460, 8757, 3013, 267, 18562, 6849, 519, 2042, 543, 7965, 568, 1732, 982, 9363, 538, 741, 1753, 2197, 269, 4032, 1652, 11082, 723, 1193, 1882, 585, 741, 1747, 789, 1058, 581, 4847, 547, 2661, 538, 513, 4182, 1141, 789, 723, 8329, 543, 5249, 2182, 593, 269, 634, 1977, 5326, 543, 519, 19366, 1995, 568, 4448, 269, 634, 2182, 960, 540, 8236, 519, 1977, 5326, 568, 1141, 519, 19366, 779, 1995, 2501, 689, 563, 20118, 267, 606, 796, 514, 11526, 7606, 8917, 1131, 798, 1100, 1434, 543, 1131, 4324, 1100, 835, 267, 16310, 513, 7654, 4652, 527, 11134, 269, 769, 519, 2013, 602, 649, 798, 3196, 7606, 540, 14718, 2085, 547, 8917, 267, 649, 786, 17216, 581, 4758, 796, 514, 11526, 4961, 606, 17752, 269, 594, 1810, 1405, 1589, 602, 621, 1131, 581, 538, 3013, 781, 1655, 1719, 547, 3196, 513, 8917, 2390, 519, 1004, 269, 898, 779, 849, 1271, 547, 2015, 602, 711, 13359, 666, 849, 581, 513, 3903, 547, 711, 1489, 2901, 10457, 267, 2864, 982, 581, 513, 676, 1056, 518, 269, 769, 2487, 2797, 12836, 267, 594, 917, 3875, 1004, 945, 4956, 547, 1577, 713, 835, 1780, 267, 1317, 789, 1705, 711, 1745, 2178, 1489, 585, 2901, 11134, 269, 0, 18794, 721, 693, 7186, 570, 1824, 585, 1404, 16766, 8854, 3552, 693, 14977, 1633, 4446, 333, 7186, 5244, 2336, 18794, 721, 693, 7186, 570, 1824, 585, 1404, 16766, 8854, 3552, 693, 14977, 1633, 4446, 333, 2336, 2177, 299, 12114, 2910, 7838, 10345, 910, 19750, 3435, 585, 7863, 5810, 543, 5388, 950, 596, 4677, 585, 7320, 454, 2304, 11609, 2689, 540, 519, 20569, 540, 519, 13573, 880, 5251, 689, 519, 9510, 7725, 547, 519, 21836, 21439, 454, 9596, 811, 827, 519, 1950, 2729, 543, 8446, 540, 21263, 525, 454, 1432, 798, 596, 917, 827, 3552, 30597, 281, 741, 1272, 9979, 267, 875, 789, 616, 3542, 3990, 267, 3347, 609, 13271, 267, 1141, 547, 1265, 873, 267, 543, 875, 547, 2697, 873, 286, 13028, 782, 713, 543, 811, 563, 20524, 875, 547, 21028, 938, 5065, 7542, 985, 1210, 6978, 5546, 543, 824, 10058, 2934, 563, 12648, 606, 4879, 540, 707, 27386, 5619, 1983, 543, 4309, 513, 15149, 689, 519, 15636, 19680, 5980, 540, 6628, 543, 8581, 454, 2304, 4367, 547, 519, 14498, 543, 8446, 540, 22072, 10987, 267, 609, 513, 7848, 540, 4928, 543, 2361, 7886, 563, 2304, 2606, 1079, 6377, 1576, 585, 4896, 5461, 538, 1565, 811, 827, 10987, 543, 519, 4739, 540, 13520, 15209 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 340, 7690, 267, 18940, 585, 2883, 1489, 543, 19015, 585, 10647, 6915, 10420, 1759, 2361, 8062, 269, 4746, 267, 2027, 7064, 547, 2199, 6705, 585, 741, 1489, 543, 585, 10647, 8062, 593, 741, 2361, 269, 0, 21589, 706, 321, 545, 607, 513, 23008, 320, 8071, 320, 538, 519, 6259, 18831, 540, 519, 14655, 13323, 454, 288, 1007, 8059, 320, 21473, 8619, 267, 21460, 321, 545, 267, 568, 6932, 538, 519, 6259, 2477, 540, 519, 14655, 13323, 269, 4706, 10409, 5888, 568, 3989, 676, 519, 4389, 543, 16866, 3029, 540, 12428, 543, 21460, 269, 634, 1957, 12116, 10409, 267, 1514, 267, 543, 3140, 3344, 540, 922, 1914, 565, 3907, 2065, 1118, 5346, 269, 1234, 9690, 3270, 540, 8994, 9194, 1063, 29240, 543, 12075, 723, 5129, 513, 11358, 1909, 538, 519, 1646, 540, 713, 8059, 320, 21473, 8619, 269, 4653, 267, 621, 5526, 547, 15449, 622, 519, 1360, 5321, 540, 519, 29240, 269, 634, 1806, 540, 10409, 2934, 630, 18474, 5209, 540, 21460, 543, 12428, 264, 540, 519, 533, 573, 6265, 5018, 538, 519, 1699, 1353, 1397, 602, 12124, 12428, 568, 16561, 4914, 7506, 269, 901, 27614, 540, 4914, 4654, 814, 15372, 539, 1346, 29240, 945, 1616, 547, 8190, 519, 19454, 540, 12428, 269, 1215, 1279, 21460, 321, 545, 568, 2469, 547, 7639, 8015, 29240, 685, 3646, 547, 4688, 12428, 689, 971, 4914, 7506, 286, 634, 1957, 20147, 609, 1179, 2827, 827, 519, 2104, 540, 21460, 321, 545, 269, 0, 9743, 745, 7695, 568, 782, 827, 6482, 543, 1852, 563, 12179, 1184, 2030, 814, 547, 11179, 6895, 543, 1852, 2185, 1271, 6724, 563, 1607, 666, 1152, 581, 2944, 609, 519, 948, 540, 31627, 563, 2414, 6895, 11179, 267, 1101, 891, 6724, 616, 547, 581, 6027, 543, 1287, 733, 549, 1194, 563, 9288, 5501, 618, 281, 1703, 616, 1585, 7405, 2139, 585, 6482, 540, 1142, 540, 519, 1657, 6724, 563, 18208, 675, 281, 16242, 12238, 2471, 540, 1585, 2010, 267, 16242, 3690, 2466, 614, 779, 3092, 563, 23044, 281, 966, 29448, 2095, 7397, 267, 25080, 2095, 7397, 267, 307, 7875, 710, 2095, 7397, 267, 7136, 2095, 7397, 267, 20764, 19441, 2095, 332, 4394, 267, 2107, 12715, 2095, 7397, 3092, 563, 307, 17687, 281, 18650, 18323, 23618, 832, 630, 20670, 17762, 1070, 26457, 665, 537, 1255, 267, 26457, 626, 832, 267, 18323, 12238, 2471, 3092, 563, 25583, 281, 27018, 16242, 3690, 2466, 1562, 630, 7894, 307, 1070, 5426, 570, 2651, 338, 267, 5426, 12238, 2471, 267, 15585, 600, 4394, 3092, 563, 6944, 1503, 281, 769, 1931, 547, 1852, 519, 1657, 6724, 267, 649, 991, 31553, 1949, 269, 634, 4922, 1031, 1852, 1949, 616, 563, 18850, 30744, 6513, 3590, 630, 291, 5425, 2567, 589, 6713, 1852, 1062, 538, 799, 8596, 270, 1098, 3027, 619, 616, 7856, 2059, 519, 3259, 543, 4560, 540, 519, 2030, 543, 782, 891, 616, 10562, 538, 513, 3060, 609, 27196, 267, 5665, 10473, 3092, 563, 28770, 11765, 1744, 583, 13560, 3590, 630, 2464, 291, 2567, 589, 5488, 1852, 1062, 799, 10416, 8075, 782, 519, 1950, 17787, 563, 17798, 621, 568, 2922, 547, 2161, 602, 5442, 22552, 9331, 7728, 9569, 568, 519, 2295, 540, 1022, 1184, 2030, 563, 2562, 22552, 9331, 7728, 9569, 22164, 2207, 808, 15477, 23370, 31304, 303, 3582, 454, 18800, 338, 1849, 1304, 779, 2930, 12319, 543, 4170, 563, 6944, 1503, 338, 540, 1016, 4186, 26167, 9015, 4702, 6054, 563, 9377, 1149, 4702, 4170, 563, 7093, 335, 4100, 519, 2930, 12319, 585, 31627, 543, 1949, 1270, 29792, 543, 15824, 519, 2930, 20241, 563, 17809, 1938, 2930, 1489, 547, 5741, 1895, 563, 18893, 574, 3278, 6293, 1949, 4180, 8766, 1942, 543, 5187, 2305, 538, 10220, 609, 519, 2838, 2773, 563, 7093, 335, 4100, 16551, 585, 7405, 267, 1949, 630, 291, 5425, 267, 11536, 291, 267, 674, 261, 294, 264, 543, 10380, 563, 7093, 335, 4100, 6198, 2079, 630, 31553, 267, 11536, 291, 267, 674, 261, 294, 1916, 25363, 906, 6293, 1469, 1374, 593, 623, 261, 2839, 779, 563, 7093, 335, 4100, 6293, 1239, 9212, 543, 8520, 12222, 563, 7093, 335, 4100, 6293, 1570, 1491, 11325, 563, 25363, 906, 1469, 4702, 2238, 630, 26792, 8083, 267, 3535, 902, 267, 7028, 2507, 1916, 8110, 13257, 519, 674, 6993, 11053, 563, 289, 14209, 610, 9457, 4110, 609, 29286, 538, 5201, 610, 6850, 24578, 2559, 923, 543, 666, 1459, 513, 2324, 1995, 540, 693, 2547, 476, 276, 1296, 563, 14187, 2792, 543, 14375, 1983, 3248, 14187, 4971, 540, 10656, 543, 2296, 3248, 15447, 1578, 543, 1995, 538, 519, 3282, 543, 3154, 2872, 568, 606, 5413, 3248, 15447, 1578, 540, 10656, 543, 3864, 6042, 3823, 519, 3864, 11083, 13052, 1315, 590, 6579, 4808, 568, 513, 7132, 3248, 15447, 1578, 540, 9501, 296, 630, 2562, 339, 8962, 264, 568, 606, 5413, 563, 21581, 28951, 281, 1315, 476, 276, 0, 8512, 540, 4633, 912, 25519, 6748, 547, 957, 282, 791, 2454, 267, 12018, 267, 3092, 563, 15812, 539, 676, 519, 957, 540, 6972, 912, 763, 3791, 3923, 540, 519, 1032, 267, 2348, 476, 4029, 2395, 454, 2414, 1397, 547, 581, 3020, 676, 7744, 610, 740, 706, 1424, 2963, 282, 6961, 912, 2414, 4196, 513, 1184, 593, 454, 2414, 8858, 568, 3989, 607, 547, 4159, 1945, 15597, 267, 610, 547, 1397, 4191, 540, 513, 1978, 2623, 610, 12402, 563, 2414, 8858, 26723, 550, 520, 13124, 282, 1166, 13550, 912, 763, 4214, 540, 705, 583, 568, 547, 5905, 610, 581, 1985, 547, 1945, 563, 2414, 16013, 519, 6316, 540, 454, 2414, 581, 733, 27631, 563, 2414, 8831, 2059, 519, 6316, 540, 282, 3808, 454, 2414, 1847, 1394, 543, 8521, 936, 513, 1747, 267, 3092, 5919, 3444, 543, 973, 1484, 454, 2414, 1847, 2059, 513, 1576, 267, 607, 513, 13093, 1748, 13549, 538, 519, 9240, 913, 540, 513, 2594, 563, 2414, 1780, 936, 693, 513, 1900, 282, 547, 1900, 936, 563, 2414, 3356, 568, 547, 1847, 4464, 610, 4434, 2509, 12032, 563, 297, 712, 2284, 568, 3989, 607, 547, 2951, 563, 2414, 1685, 513, 2866, 3635, 563, 2414, 8399, 610, 1847, 24847, 538, 513, 1978, 4287, 610, 2059, 513, 1576, 912, 305, 1052, 568, 3989, 607, 547, 1305, 610, 1747, 538, 1931, 610, 2990, 563, 2414, 3802, 693, 513, 16837, 569, 10605, 282, 588, 2651, 563, 2414, 3802, 538, 606, 7329, 548, 267, 16837, 569, 6073, 282, 1094, 684, 614, 454, 2414, 1847, 593, 3723, 282, 1900, 282, 3802, 454, 263, 12385, 24136, 264, 589, 6310, 1843, 267, 3335, 513, 1305, 540, 5036, 267, 602, 568, 2356, 11295, 547, 5581, 513, 2039, 2066, 799, 4632, 610, 824, 3615, 630, 7945, 607, 513, 11282, 1062, 264, 666, 581, 3989, 563, 763, 4214, 540, 2097, 568, 547, 1847, 6251, 547, 519, 1270, 6856, 563, 2414, 3802, 267, 32603, 267, 911, 5404, 267, 610, 15046, 454, 2414, 1847, 17116, 569, 610, 2367, 5217, 569, 563, 2414, 3802, 561, 877, 569, 610, 1847, 538, 606, 12150, 6752, 563, 2414, 23249, 568, 3989, 607, 547, 3247, 585, 513, 5618, 1974, 540, 942, 563, 2414, 2097, 2282, 610, 683, 13145, 547, 454, 8340, 1776, 2262, 585, 15292, 532, 269, 769, 713, 2985, 596, 666, 3605, 476, 7918, 19655, 267, 1884, 11618, 267, 18986, 11703, 7215, 267, 543, 1644, 1913, 585, 15292, 532, 267, 899, 281, 23312, 267, 2384, 532, 267, 14027, 267, 25937, 267, 911, 332, 4771, 267, 19482, 267, 19480, 267, 5595, 2173, 31186, 267, 1273, 13764, 267, 10992, 543, 538, 5163, 269, 0, 347, 314, 9616, 13832, 316, 7353, 19212, 781, 8074, 2008, 21511, 6519, 853, 1251, 630, 290, 6625, 807, 524, 6625, 807, 264, 568, 513, 1804, 530, 8172, 6177, 538, 519, 588, 1251, 1920, 595, 6625, 328, 13160, 267, 9960, 538, 519, 15911, 2694, 540, 2342, 630, 333, 2180, 547, 6480, 8205, 1070, 22070, 4000, 267, 543, 22236, 5607, 630, 324, 770, 547, 7013, 27782, 16330, 1040, 898, 568, 513, 2178, 27540, 267, 5162, 532, 5631, 538, 9341, 4000, 267, 1524, 547, 519, 5045, 540, 3162, 4000, 267, 543, 849, 538, 519, 4095, 1016, 29657, 8198, 2005, 568, 513, 5458, 6177, 267, 476, 1911, 268, 10219, 4699, 630, 2412, 268, 2004, 538, 4700, 7381, 267, 609, 513, 476, 14028, 268, 1220, 4699, 630, 8618, 268, 8064, 538, 264, 12209, 3966, 543, 513, 2597, 540, 476, 273, 269, 274, 268, 275, 269, 276, 4846, 630, 276, 268, 1015, 7273, 1040, 898, 568, 4625, 3043, 4849, 585, 519, 3109, 13617, 8184, 17207, 267, 543, 922, 2699, 3915, 543, 7953, 267, 799, 616, 3109, 593, 5104, 32596, 269, 898, 15211, 7444, 543, 20406, 593, 519, 2666, 269, 6145, 782, 588, 3311, 609, 519, 9868, 540, 519, 2274, 696, 9953, 3342, 12593, 267, 621, 13733, 609, 922, 8405, 856, 560, 4958, 3481, 563, 19669, 853, 3311, 7048, 593, 3350, 1063, 5687, 1023, 540, 3905, 2011, 585, 1279, 3845, 8184, 267, 2921, 1390, 5413, 540, 873, 1282, 5993, 4955, 5928, 1063, 2342, 543, 4427, 25781, 4000, 269, 634, 20125, 8905, 5045, 1131, 1491, 873, 936, 519, 11335, 267, 855, 2094, 5687, 1023, 1152, 1106, 936, 2244, 267, 588, 3311, 1491, 513, 1033, 712, 269, 634, 3681, 616, 3908, 267, 1317, 547, 519, 7532, 6013, 519, 26768, 19164, 267, 1141, 621, 568, 2352, 547, 1265, 1426, 543, 1216, 910, 543, 547, 519, 7178, 6013, 519, 9533, 7909, 269, 901, 3762, 1079, 7522, 9194, 23725, 832, 281, 9456, 588, 3311, 3444, 519, 2269, 1080, 540, 18548, 1602, 639, 547, 11894, 267, 29906, 519, 2274, 2779, 630, 306, 344, 6319, 30071, 3316, 517, 268, 29994, 6261, 531, 32347, 1070, 543, 1287, 21271, 519, 19300, 4673, 19164, 676, 1739, 519, 20407, 267, 1247, 7262, 3283, 8038, 998, 519, 2269, 1080, 540, 18582, 1537, 30198, 269, 23657, 1259, 267, 519, 588, 3311, 666, 1205, 948, 689, 519, 5687, 1023, 585, 3592, 519, 3003, 7552, 543, 3976, 4688, 1648, 563, 19669, 588, 3311, 9742, 538, 1930, 3484, 1633, 2127, 609, 1569, 547, 23047, 1506, 19126, 267, 2679, 513, 6529, 9566, 538, 4054, 267, 593, 5656, 267, 610, 2027, 5867, 269, 5221, 621, 568, 9763, 607, 6177, 540, 1434, 9939, 267, 621, 568, 711, 30201, 3176, 267, 543, 1419, 20097, 2673, 547, 1480, 3110, 2787, 269, 769, 7013, 2342, 267, 588, 3311, 262, 20097, 666, 581, 2938, 593, 13039, 543, 824, 5656, 269, 898, 1419, 3029, 1507, 10125, 269, 6145, 1034, 540, 922, 14077, 267, 621, 20555, 5631, 593, 20883, 543, 1804, 7786, 267, 855, 849, 1762, 5017, 267, 28499, 543, 23224, 563, 763, 3043, 588, 1251, 568, 3592, 14980, 4849, 585, 519, 26776, 8994, 3915, 12641, 30568, 950, 4079, 2743, 693, 519, 9566, 269, 630, 1410, 1356, 696, 3144, 689, 28957, 3820, 994, 1607, 6519, 853, 1251, 2729, 693, 513, 25113, 585, 5017, 538, 654, 1023, 549, 1372, 267, 7187, 5125, 269, 634, 25113, 2982, 513, 5458, 3099, 540, 5017, 543, 568, 1767, 547, 581, 519, 7887, 540, 922, 2186, 5001, 269, 3509, 5017, 616, 26870, 972, 538, 1931, 547, 1832, 909, 513, 1164, 2551, 543, 1315, 610, 2132, 873, 547, 519, 3552, 563, 13048, 281, 804, 19861, 856, 930, 16297, 532, 17207, 593, 519, 3039, 267, 5186, 5529, 267, 3773, 7406, 543, 759, 1242, 454, 12179, 11925, 267, 8292, 543, 31886, 616, 10950, 563, 18744, 10805, 7066, 330, 26903, 2818, 949, 2557, 8666, 4967, 269, 0, 15037, 476, 2190, 267, 476, 1708, 271, 5788, 891, 8454, 3211, 1683, 5363, 3308, 11226, 865, 602, 1053, 1957, 1603, 3028, 2852, 666, 1294, 585, 1888, 585, 2014, 543, 1198, 1557, 2933, 602, 476, 1321, 270, 1321, 815, 476, 273, 270, 273, 543, 3388, 538, 1063, 269, 2979, 2262, 2042, 12193, 10063, 24862, 3211, 616, 2966, 547, 948, 3610, 267, 3237, 267, 543, 21493, 946, 519, 2835, 689, 519, 2979, 2262, 2042, 12193, 3126, 538, 519, 4928, 543, 519, 1753, 721, 28296, 10160, 10467, 2262, 2042, 269, 11160, 476, 1321, 267, 476, 1001, 280, 5788, 1820, 519, 7824, 281, 649, 723, 476, 274, 3211, 585, 1142, 1888, 538, 1870, 1544, 1981, 2079, 1383, 519, 5850, 1966, 6061, 2042, 538, 6824, 269, 1224, 811, 1711, 543, 1820, 707, 1378, 2979, 3211, 609, 2979, 269, 1620, 8454, 630, 325, 3555, 948, 264, 2073, 4946, 8454, 267, 14291, 8454, 883, 17447, 267, 6697, 8454, 267, 2241, 8454, 267, 6824, 7503, 267, 6824, 2262, 2042, 3092, 269, 1491, 513, 1449, 1107, 8454, 1568, 11855, 2985, 16304, 25034, 2433, 891, 3211, 267, 1603, 2689, 4574, 15044, 676, 3446, 1377, 267, 1557, 1603, 6351, 3382, 513, 581, 19354, 7260, 2689, 1557, 3575, 540, 1983, 689, 519, 6437, 269, 585, 2042, 602, 2154, 811, 982, 835, 1900, 267, 513, 9488, 1900 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21984, 6316, 3365, 1172, 2946, 568, 513, 2442, 4480, 1369, 519, 2361, 540, 13492, 543, 12348, 267, 3226, 1851, 18055, 1235, 543, 31910, 1562, 269, 2311, 922, 4295, 267, 6151, 6316, 3365, 1172, 2946, 3322, 1140, 2286, 4773, 540, 5958, 547, 513, 4282, 5958, 1510, 1101, 7432, 610, 18138, 519, 8728, 269, 901, 2164, 538, 513, 1863, 845, 267, 5214, 1413, 602, 666, 1039, 3308, 1719, 543, 9403, 547, 1022, 1297, 540, 3785, 269, 769, 713, 3296, 267, 649, 786, 2263, 519, 1184, 540, 6151, 6316, 3365, 1172, 2946, 267, 1519, 2645, 543, 2326, 267, 7041, 2553, 267, 543, 1585, 2409, 540, 13613, 269, 1284, 786, 849, 5490, 883, 930, 540, 519, 3860, 7399, 6488, 539, 676, 713, 11684, 4480, 780, 6524, 11362, 883, 519, 25727, 540, 6151, 6316, 3365, 1172, 2946, 267, 621, 781, 1271, 547, 24559, 6000, 609, 519, 2556, 2645, 543, 2326, 269, 2755, 1082, 22927, 6191, 2097, 9280, 609, 2596, 2046, 518, 3952, 5078, 585, 3365, 1172, 2946, 960, 267, 7463, 2046, 518, 3952, 666, 1118, 519, 1184, 811, 3608, 543, 5730, 269, 2290, 971, 1383, 568, 519, 2312, 10116, 20878, 3723, 5018, 538, 938, 6679, 1349, 267, 799, 2934, 513, 3710, 2987, 3391, 585, 4977, 9378, 1450, 1734, 950, 2324, 609, 1507, 4773, 269, 3958, 267, 1970, 695, 1678, 26882, 6823, 8747, 540, 891, 3952, 616, 2139, 267, 3850, 873, 547, 581, 1031, 30430, 2066, 2789, 12478, 267, 1519, 590, 5424, 267, 19656, 267, 9040, 2643, 1442, 267, 3967, 727, 267, 8230, 3467, 267, 6519, 267, 808, 25431, 267, 543, 3244, 13109, 780, 5194, 1898, 5057, 540, 3811, 6151, 6316, 3365, 1172, 2946, 568, 7446, 3617, 17234, 543, 16060, 269, 13575, 6340, 267, 17426, 26181, 976, 543, 13274, 839, 960, 1655, 1813, 547, 741, 8112, 543, 8897, 540, 7829, 282, 2705, 267, 17634, 609, 1114, 11103, 543, 12035, 666, 6556, 10578, 2164, 269, 1306, 585, 16060, 267, 4874, 6856, 3681, 899, 1346, 6035, 676, 27387, 301, 15967, 1683, 5140, 15006, 543, 4187, 547, 535, 2001, 532, 267, 1818, 873, 1134, 25252, 1243, 585, 1312, 1688, 543, 3684, 3365, 1172, 2946, 3156, 269, 5015, 267, 513, 2647, 2039, 540, 4778, 5849, 17356, 609, 1034, 6469, 22927, 6191, 543, 521, 1120, 619, 780, 5629, 596, 723, 10356, 707, 7727, 267, 1697, 7041, 3587, 2629, 585, 8236, 3318, 23302, 2164, 269, 10670, 676, 5969, 856, 707, 6074, 5546, 1210, 8325, 23805, 610, 513, 27414, 2759, 614, 267, 2921, 1416, 547, 2226, 5812, 7516, 543, 26546, 8728, 269, 1280, 17208, 3029, 267, 2015, 14139, 17074, 1500, 689, 5230, 3556, 18450, 610, 5068, 547, 2327, 6111, 1282, 16439, 543, 5969, 269, 898, 949, 849, 581, 5363, 547, 840, 2914, 1662, 782, 17234, 547, 7413, 16756, 720, 543, 9004, 1761, 2681, 6926, 2644, 780, 4415, 707, 3334, 4712, 267, 972, 616, 1896, 4485, 547, 20170, 873, 547, 519, 4282, 1570, 269, 7435, 3365, 1172, 2946, 3091, 26080, 1852, 543, 2636, 585, 11029, 11941, 2059, 519, 1259, 267, 1247, 9001, 1507, 4881, 25573, 610, 24120, 19173, 1472, 519, 15943, 269, 1717, 267, 713, 1505, 666, 581, 942, 21791, 543, 3340, 9639, 543, 2259, 269, 17968, 267, 3684, 3365, 1172, 2946, 2488, 3152, 3432, 543, 7833, 640, 267, 1419, 5473, 2901, 1990, 580, 345, 698, 610, 2893, 514, 19173, 5468, 4470, 593, 2123, 13283, 269, 17859, 540, 1935, 267, 1491, 1416, 547, 18172, 8936, 1142, 3337, 1247, 4509, 8082, 3666, 1063, 1283, 543, 27342, 16535, 16060, 780, 1103, 1840, 547, 2757, 1688, 543, 3684, 2553, 267, 2413, 2029, 814, 9450, 519, 7706, 540, 7872, 1369, 6151, 6316, 3365, 1172, 2946, 269, 7981, 1242, 22927, 6191, 1631, 2709, 6131, 3252, 585, 3365, 1172, 2946, 960, 267, 2347, 609, 1982, 30154, 3270, 543, 2688, 14184, 19173, 13080, 269, 1452, 7760, 5512, 3755, 547, 1711, 1950, 6272, 3533, 543, 7561, 267, 6220, 2609, 971, 607, 2482, 1359, 267, 5552, 730, 25361, 267, 543, 16560, 1196, 3101, 269, 5047, 267, 5499, 2472, 899, 535, 639, 1043, 3103, 7520, 2656, 13307, 543, 16345, 540, 1367, 5546, 267, 6908, 23164, 519, 2949, 1184, 780, 19741, 2930, 15334, 267, 6151, 6316, 3365, 1172, 2946, 7512, 5876, 543, 7499, 4082, 998, 19511, 946, 540, 1106, 267, 2681, 267, 543, 5888, 269, 6333, 3695, 4798, 6273, 676, 2470, 267, 6189, 267, 610, 7493, 1148, 267, 11319, 6302, 543, 9256, 19635, 18305, 547, 3132, 2189, 15885, 269, 1635, 8508, 519, 7915, 5714, 640, 540, 713, 4480, 267, 596, 666, 11349, 513, 10058, 12716, 10452, 707, 1378, 7209, 543, 5075, 780, 1103, 3932, 267, 6151, 6316, 3365, 1172, 2946, 4564, 606, 3015, 2943, 14785, 28627, 585, 1582, 22325, 1369, 519, 1158, 540, 13492, 543, 12348, 269, 3414, 6297, 5542, 540, 2645, 267, 9488, 7041, 267, 17117, 540, 4909, 1983, 267, 543, 22371, 547, 5647, 267, 9439, 693, 1169, 1377, 666, 3035, 10875, 2164, 602, 16637, 6071, 10342, 543, 29954, 790, 547, 3020, 26274, 269, 6787, 6964, 538, 844, 2830, 14708, 267, 7802, 4070, 267, 1753, 26955, 14585, 267, 610, 28707, 17960, 267, 6151, 6316, 3365, 1172, 2946, 6763, 26405, 547, 25407, 543, 8300, 1346, 945, 29937, 922, 3808, 1652, 1761, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 1772, 634, 7454, 19656, 29828, 532, 10724, 538, 476, 1708, 274, 454, 18850, 3307, 633, 13068, 476, 272, 268, 275, 630, 5226, 6621, 10759, 264, 2372, 559, 1154, 29828, 532, 10724, 4964, 518, 14272, 609, 22750, 6651, 910, 674, 1080, 2353, 8899, 1744, 1678, 10965, 777, 268, 4002, 590, 5424, 267, 19656, 267, 9040, 2643, 1442, 267, 3967, 727, 267, 8230, 3467, 267, 6519, 267, 808, 25431, 267, 3244, 13109, 543, 2859, 2336, 292, 2091, 1233, 910, 590, 1706, 992, 476, 1839, 910, 3192, 853, 3558, 8950, 1242, 29828, 532, 10724, 9578, 661, 2091, 1233, 7585, 321, 1231, 1299, 476, 277, 4062, 7457, 800, 14272, 14173, 454, 268, 590, 1706, 992, 476, 1839, 910, 3192, 19173, 2780, 1242, 22927, 3684, 609, 9904, 454, 268, 22291, 476, 1015, 3640, 540, 661, 2091, 1233, 7585, 321, 1231, 454, 268, 22291, 476, 277, 4062, 661, 2091, 1233, 7457, 800, 2372, 559, 1154, 14272, 14173, 454, 268, 901, 590, 1706, 992, 476, 1839, 22753, 814, 1018, 596, 991, 547, 1205, 3323, 593, 707, 1985, 1788, 563, 1320, 1348, 301, 15967, 12443, 6856, 21150, 5514, 2044, 10724, 27387, 267, 476, 8287, 27413, 267, 476, 2412, 268, 26574, 267, 476, 20862, 25286, 323, 269, 12882, 11366, 2108, 589, 313, 302, 6363, 872, 29828, 532, 4675, 15533, 609, 7822, 15873, 12882, 11366, 2108, 3281, 26702, 609, 19656, 267, 9040, 2643, 1442, 267, 3967, 727, 267, 590, 5424, 267, 26036, 336, 12534, 3534, 267, 543, 2859, 454, 268, 966, 4353, 2839, 590, 2316, 307, 6224, 2464, 1107, 2037, 5341, 707, 588, 527, 30987, 609, 3684, 30927, 8142, 689, 27387, 301, 15967, 256, 17292, 689, 476, 8287, 561, 755, 9317, 24698, 602, 5706, 11702, 1256, 1310, 7368, 11067, 267, 543, 14219, 1508, 707, 13144, 2336, 268, 670, 5456, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 1177, 22750, 10331, 1172, 2946, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 10331, 1664, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 942, 543, 1686, 256, 1284, 2811, 827, 547, 7832, 593, 606, 7045, 602, 786, 1491, 721, 1394, 5215, 540, 1296, 883, 519, 2250, 267, 3695, 4241, 13742, 267, 3504, 12977, 267, 543, 6909, 2984, 2451, 3297, 676, 1004, 945, 5030, 1279, 3516, 269, 901, 1576, 786, 6338, 596, 547, 519, 9159, 1158, 540, 22884, 543, 6189, 910, 1079, 4610, 602, 948, 3142, 1686, 547, 1272, 2439, 19425, 2801, 5505, 616, 3713, 1161, 945, 1353, 1480, 2534, 543, 2528, 689, 519, 2250, 1210, 3615, 789, 4734, 3297, 269, 5994, 1373, 2111, 547, 3180, 513, 1494, 1500, 936, 476, 1220, 271, 1296, 3516, 610, 4466, 10881, 547, 4194, 13655, 899, 875, 1004, 3710, 7372, 6149, 3889, 1510, 2413, 2645, 256, 2334, 781, 1018, 4974, 22884, 666, 1745, 899, 780, 3086, 1577, 781, 4685, 883, 930, 1114, 2010, 540, 22884, 649, 3513, 2263, 1927, 1384, 272, 269, 2878, 7093, 18856, 26337, 4995, 7043, 1354, 2854, 5638, 941, 6854, 267, 3425, 1869, 2813, 5863, 1919, 256, 3245, 18991, 18705, 15561, 21650, 1031, 585, 10122, 547, 11999, 18810, 20077, 856, 540, 4224, 269, 1452, 3688, 2995, 721, 827, 2038, 3425, 543, 741, 1259, 540, 2713, 1256, 950, 972, 14201, 1405, 1022, 2835, 610, 6054, 1472, 563, 825, 2608, 7078, 15846, 13028, 519, 4583, 13946, 10367, 693, 700, 2444, 14513, 538, 5333, 267, 799, 7866, 875, 3860, 543, 9952, 22300, 5159, 941, 2439, 273, 269, 2878, 23208, 26337, 4995, 1879, 1004, 3323, 5329, 5638, 267, 621, 8118, 909, 513, 2898, 1007, 3184, 585, 24085, 547, 3605, 269, 4635, 5931, 2059, 609, 2168, 3788, 267, 3140, 24085, 4062, 1927, 6946, 13410, 540, 7239, 543, 4529, 2429, 1686, 563, 567, 2608, 7078, 15846, 17451, 9289, 875, 31503, 2731, 5030, 286, 6744, 856, 5800, 9576, 267, 25706, 1107, 513, 4884, 10032, 676, 13091, 543, 12617, 896, 5070, 543, 1216, 267, 8497, 922, 11580, 2394, 4362, 5553, 2663, 780, 274, 269, 2878, 15152, 4248, 26337, 4995, 9894, 596, 917, 602, 3141, 5287, 9635, 543, 24760, 4872, 3180, 1082, 2150, 1245, 8941, 1932, 286, 7201, 4248, 24085, 12703, 2620, 15798, 543, 669, 11035, 7297, 547, 1265, 891, 6456, 16782, 543, 1451, 811, 827, 17535, 4123, 11507, 267, 17189, 13137, 267, 543, 4503, 10125, 563, 567, 2608, 7078, 15846, 10812, 519, 1650, 540, 519, 4165, 1731, 344, 1492, 571, 26676, 342, 516, 1188, 1055, 519, 5259, 6532, 540, 11511, 974, 267, 1141, 3173, 1336, 606, 11212, 4359, 24666, 3926, 1572, 519, 834, 12901, 1731, 344, 1492, 571, 11115, 1143, 2437, 6580, 1394, 5176, 476, 1220, 271, 1296, 2439, 275, 269, 2878, 300, 677, 4231, 26337, 4995, 24356, 19746, 4609, 2337, 24085, 1174, 4978, 4478, 2669, 543, 1310, 5158, 2066, 1585, 4529, 269, 3414, 7421, 30401, 267, 9723, 2125, 267, 543, 524, 655, 2678, 625, 267, 789, 21048, 559, 12738, 267, 1514, 4567, 525, 267, 543, 3006, 1920, 4296, 1851, 1346, 9788, 547, 1964, 563, 567, 2608, 7078, 15846, 1133, 30584, 519, 9814, 540, 5527, 781, 11599, 943, 21198, 338, 543, 741, 14969, 9723, 2125, 4904, 609, 4154, 267, 21889, 267, 1426, 267, 543, 824, 10475, 5370, 5921, 547, 13173, 873, 883, 519, 1310, 5158, 780, 276, 269, 2878, 26581, 7434, 26337, 4995, 1306, 15327, 267, 15183, 267, 543, 6283, 1949, 2968, 1898, 2694, 540, 2486, 267, 865, 1705, 4853, 22884, 269, 898, 6212, 593, 1620, 6639, 7760, 267, 4074, 2175, 267, 543, 2825, 5222, 1282, 519, 11633, 7169, 563, 567, 2608, 7078, 15846, 5548, 557, 883, 519, 2729, 540, 1126, 4600, 1282, 519, 16972, 5736, 676, 6313, 24790, 540, 10412, 14200, 267, 5755, 15183, 267, 543, 7841, 1811, 780, 277, 269, 2878, 289, 10041, 26337, 4995, 18623, 946, 15456, 4681, 547, 1732, 10146, 3909, 5931, 971, 607, 519, 6426, 269, 1358, 1413, 585, 2963, 5885, 13400, 2621, 267, 3197, 267, 543, 4025, 1247, 849, 6236, 2686, 8658, 563, 567, 2608, 7078, 15846, 6258, 827, 3751, 6424, 781, 12081, 998, 2487, 14155, 725, 13031, 25167, 6821, 267, 19235, 267, 543, 11889, 7740, 2404, 609, 1010, 10806, 780, 3086, 602, 649, 723, 8268, 1896, 8371, 540, 22884, 1577, 781, 2490, 938, 3007, 2509, 6189, 1107, 1776, 6885, 883, 519, 2250, 269, 2755, 16413, 1374, 5656, 2221, 267, 16413, 689, 1279, 3516, 2451, 3297, 15999, 20375, 267, 17633, 267, 5321, 267, 543, 1857, 5624, 602, 13686, 7499, 1983, 543, 4702, 2261, 12069, 780, 3528, 1565, 827, 11265, 6163, 267, 2326, 267, 2553, 267, 543, 3252, 267, 649, 2744, 3407, 4030, 883, 3309, 7239, 262, 2081, 540, 1272, 267, 2418, 267, 4066, 267, 543, 11615, 269, 1280, 3236, 267, 9236, 4936, 16822, 30965, 11596, 543, 10120, 3032, 1117, 23552, 2636, 721, 547, 5660, 3604, 538, 9913, 7375, 543, 5289, 20174, 1063, 891, 5712, 780, 1103, 713, 1576 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 28334, 19121, 1242, 476, 7742, 26767, 945, 5249, 896, 2947, 4487, 15790, 550, 619, 269, 2755, 789, 7722, 538, 519, 4070, 540, 14500, 267, 17633, 267, 695, 21218, 543, 804, 753, 5443, 781, 8075, 267, 789, 849, 1500, 11647, 269, 1879, 519, 28334, 781, 15790, 550, 619, 941, 11112, 267, 621, 6964, 1875, 268, 3530, 559, 7007, 15790, 550, 619, 593, 513, 10151, 4493, 547, 6023, 3063, 960, 269, 5637, 22825, 1500, 1750, 7370, 267, 964, 802, 267, 24950, 25764, 543, 6692, 1324, 267, 3092, 563, 2005, 1412, 529, 1767, 602, 519, 2663, 3044, 267, 2185, 695, 27495, 17253, 1750, 7370, 630, 272, 695, 27495, 568, 827, 513, 3723, 610, 476, 1789, 4699, 4700, 941, 519, 2634, 18876, 540, 772, 332, 655, 3120, 670, 27323, 5633, 655, 517, 267, 513, 4487, 15790, 10938, 945, 729, 3742, 538, 519, 12081, 540, 11261, 16549, 600, 2317, 630, 14444, 278, 910, 476, 14321, 277, 1040, 1261, 5116, 835, 538, 519, 6264, 10689, 540, 589, 20899, 16836, 269, 898, 4667, 547, 723, 24330, 8436, 543, 729, 519, 3312, 27189, 2967, 546, 753, 340, 563, 2026, 519, 1750, 7370, 941, 585, 7663, 29718, 4036, 1878, 267, 519, 5580, 2721, 518, 729, 1500, 2647, 2614, 547, 2322, 538, 519, 1279, 32639, 789, 20595, 543, 1726, 25979, 269, 13536, 22278, 23652, 519, 1272, 16654, 540, 741, 32540, 18459, 543, 1010, 11677, 619, 267, 543, 25343, 519, 1750, 7370, 865, 1454, 602, 789, 2322, 27189, 2967, 1750, 7370, 693, 519, 1283, 540, 519, 1592, 585, 16806, 5538, 338, 572, 14513, 563, 15987, 1906, 723, 3798, 334, 7389, 267, 621, 568, 2693, 602, 27189, 2967, 1750, 7370, 7930, 2968, 811, 2442, 1851, 519, 2199, 15194, 1362, 267, 922, 11677, 619, 543, 811, 1271, 22278, 1282, 519, 476, 1240, 628, 543, 2038, 476, 866, 628, 5553, 269, 898, 568, 849, 3833, 2009, 602, 972, 729, 1100, 6237, 2688, 540, 6580, 873, 269, 1677, 4952, 602, 519, 27189, 2967, 9221, 10393, 3576, 1055, 20749, 538, 524, 269, 6942, 271, 1510, 1022, 2178, 840, 25365, 2245, 12490, 3661, 563, 306, 1399, 548, 543, 2934, 454, 14808, 269, 476, 276, 9540, 594, 3118, 611, 20110, 19899, 1663, 10642, 27189, 2967, 9221, 585, 17960, 267, 1883, 13403, 4395, 4571, 2000, 622, 2725, 25702, 5736, 454, 2304, 715, 13034, 14389, 8613, 1982, 13886, 918, 617, 1177, 926, 670, 752, 889, 7491, 4157, 534, 630, 300, 13952, 602, 6529, 547, 835, 2361, 540, 1148, 610, 1884, 2294, 1070, 12286, 454, 306, 754, 2967, 570, 753, 340, 667, 839, 327, 20110, 10275, 534, 799, 15225, 2757, 1750, 7370, 689, 27189, 2967, 4975, 630, 5417, 816, 281, 27189, 2967, 476, 7176, 275, 268, 24879, 272, 267, 654, 752, 629, 599, 20076, 10275, 340, 267, 3687, 9564, 918, 1690, 328, 7302, 334, 476, 16960, 267, 22007, 281, 476, 28873, 268, 19442, 268, 3583, 279, 274, 267, 535, 1314, 281, 476, 28873, 268, 19442, 268, 9083, 274, 1916, 300, 2174, 320, 570, 753, 340, 19255, 814, 1044, 538, 1870, 930, 476, 6344, 1296, 563, 300, 2174, 320, 15480, 25431, 6394, 476, 2004, 2025, 543, 1007, 27189, 2967, 1750, 7370, 543, 8118, 519, 7467, 538, 476, 1960, 276, 269, 3371, 616, 519, 2934, 540, 1688, 13402, 27189, 2967, 1750, 7370, 267, 607, 1644, 676, 1864, 267, 609, 1082, 3606, 7422, 689, 519, 2123, 1995, 540, 3627, 1520, 1515, 543, 1866, 563, 306, 754, 2967, 1750, 7370, 616, 27537, 676, 14969, 29041, 4496, 3514, 14005, 543, 4190, 22725, 638, 1359, 593, 5394, 543, 18991, 1178, 1441, 3574, 267, 1419, 1883, 13403, 630, 29992, 330, 13960, 610, 31970, 1714, 332, 1916, 2690, 9355, 781, 19160, 267, 649, 666, 1592, 519, 1292, 1367, 2934, 607, 912, 272, 269, 2178, 23302, 4496, 3514, 14005, 799, 3262, 856, 689, 519, 3844, 9376, 6676, 454, 273, 269, 22725, 638, 1359, 799, 2306, 519, 5817, 10286, 540, 519, 3574, 1796, 856, 1034, 18991, 454, 274, 269, 18991, 1178, 1441, 1883, 13403, 543, 12212, 9221, 18133, 454, 275, 269, 1750, 7370, 616, 711, 2356, 9221, 6823, 2275, 4554, 630, 16269, 2874, 540, 835, 4062, 1152, 264, 855, 949, 723, 513, 3490, 454, 276, 269, 1082, 267, 855, 711, 782, 267, 723, 513, 11308, 1327, 6362, 536, 20110, 610, 695, 12494, 926, 799, 14014, 519, 1647, 267, 9376, 1652, 2721, 619, 1996, 3276, 6921, 1513, 563, 763, 22725, 20960, 1740, 568, 835, 540, 519, 1292, 2934, 540, 513, 27189, 2967, 9221, 282, 713, 24643, 1114, 6436, 543, 519, 2446, 540, 1585, 2553, 269, 589, 2241, 1259, 540, 7713, 519, 22725, 20960, 949, 581, 547, 4334, 27189, 2967, 609, 930, 1750, 7370, 689, 519, 1744, 20110, 333, 2967, 1858, 5180, 17578, 15843, 24499, 267, 593, 519, 3567, 7256, 5032, 2427, 563, 14808, 269, 476, 277, 9540, 512, 753, 340, 3812, 538, 561, 342, 611, 599, 4821, 267, 1883, 13403, 4395, 2676, 13232, 2000, 622, 2725, 25702, 5736, 454, 1103, 835, 1184, 1419, 1031, 972, 267, 519, 3574, 568, 711, 6074, 585, 922, 17681, 10286, 610, 547, 1397, 621, 1055, 630, 16269, 798, 711, 946, 1883, 13403, 2567, 519, 28506, 593, 513, 9221, 972, 6411, 811, 899, 519, 17198, 540, 513, 7206, 269, 1879, 960, 568, 8737, 593, 22725, 638, 1359, 621, 267, 519, 10286, 540, 519, 3574, 568, 1100, 3476, 2731, 7298, 268, 3286, 607, 649, 798, 711, 1413, 585, 519, 4806, 593, 513, 8737, 17198, 563, 290, 2761, 338, 5443, 4019, 606, 896, 1723, 520, 1500, 540, 513, 6094, 2740, 22725, 20960, 543, 9522, 32634, 630, 31673, 5109, 8869, 264, 799, 3947, 519, 28506, 513, 5347, 2960, 267, 25361, 909, 1022, 18784, 9475, 538, 519, 3574, 865, 22725, 20960, 3112, 581, 12842, 543, 2488, 513, 4837, 6438, 2627, 593, 799, 547, 22725, 20960, 269, 634, 22725, 638, 19907, 6227, 519, 10286, 538, 2324, 1010, 9059, 855, 519, 17578, 15843, 24499, 9221, 1869, 24643, 721, 1813, 547, 519, 2178, 1065, 748, 338, 2946, 4401, 1740, 543, 519, 3337, 540, 519, 512, 753, 340, 609, 922, 7381, 267, 5594, 16070, 3337, 267, 1419, 8476, 676, 519, 1327, 6362, 3046, 8720, 519, 2721, 619, 563, 1103, 27189, 2967, 519, 13492, 5443, 4941, 519, 21951, 547, 1294, 519, 5898, 540, 519, 10286, 543, 1031, 519, 23984, 523, 19441, 4480, 630, 339, 15330, 340, 1797, 547, 18061, 909, 264, 936, 10694, 1883, 13403, 610, 9221, 18133, 269, 634, 3574, 568, 711, 20177, 607, 1657, 267, 865, 22725, 20960, 694, 10134, 883, 519, 3574, 267, 3226, 883, 519, 2571, 267, 10110, 550, 1412, 1998, 18436, 262, 1063, 519, 2182, 10286, 3515, 269, 3962, 10359, 568, 2451, 593, 11489, 5176, 3819, 543, 519, 4430, 530, 21317, 1055, 563, 14808, 269, 476, 278, 27956, 6373, 1673, 753, 340, 630, 20253, 601, 539, 9221, 1070, 1883, 13403, 4395, 267, 2038, 2173, 573, 2725, 25702, 5736, 454, 763, 2182, 10286, 1412, 327, 1571, 262, 10110, 22725, 20960, 538, 519, 1101, 3156, 855, 4166, 1831, 521, 730, 269, 1677, 2061, 22725, 20960, 533, 4979, 909, 593, 519, 2182, 3515, 267, 519, 22725, 638, 19907, 530, 6346, 1055, 602, 1858, 855, 2636, 519, 22725, 20960, 6106, 547, 3136, 7213, 6819, 538, 519, 1412, 1998, 18436, 262, 11489, 789, 3914, 519, 4463, 540, 519, 10286, 1412, 327, 1571, 8339, 634, 22725, 638, 19907, 5932, 513, 5394, 10720, 540, 22725, 20960, 593, 519, 23898, 799, 3947, 519, 1750, 7370, 741, 24788, 748, 3308, 2298, 563, 11990, 1520, 1515, 10530, 606, 20626, 607, 9236, 519, 2182, 10286, 543, 18060, 532, 29779, 3574, 547, 834, 4614, 601, 11084, 11251, 538, 26703, 8487, 8794, 513, 11453, 543, 22883, 3121, 1522, 4734, 5667, 4774, 2127, 865, 513, 4480, 1572, 535, 25431, 268, 584, 25775, 18011, 342, 31441, 22725, 20960, 593, 543, 1055, 264, 729, 1031, 593, 519, 23984, 523, 19441, 538, 27189, 2967, 267, 2687, 547, 1520, 1515, 563, 298, 6359, 10098, 5991, 19441, 6257, 519, 4480, 540, 3903, 585, 2413, 1750, 7370, 855, 1520, 1515, 3081, 602, 713, 1935, 568, 2404, 609, 519, 22725, 638, 1359, 2944, 540, 2025, 693, 962, 821, 345, 11867, 563, 2252, 649, 5635, 519, 3337, 540, 519, 4496, 3514, 14005, 267, 27189, 2967, 1281, 711, 946, 519, 5180, 610, 2695, 541, 880, 9376, 10824, 1455, 11992, 538, 5087, 3887, 770, 3567, 269, 27189, 2967, 781, 616, 5609, 6681, 267, 609, 1100, 2786, 3515, 267, 543, 3100, 547, 3262, 24672, 856, 2072, 689, 519, 3844, 6676, 282, 519, 4496, 814, 606, 10694, 17031, 1145, 543, 568, 2356, 22725, 638, 1229, 606, 3858, 762, 3109, 454, 763, 3063, 341, 698, 656, 4496, 3514, 14005, 630, 16988, 16331, 264, 649, 12314, 609, 27189, 2967, 1750, 7370, 7902, 689, 519, 2063, 2395, 540, 519, 15480, 1872, 11867, 2229, 547, 519, 4571, 610, 3735, 2725, 25702, 1296, 267, 1775, 4318, 269, 476, 5908, 271, 910, 476, 4489, 271, 269, 4934, 540, 960, 1310, 519, 2725, 25702, 26198, 540, 476, 5908, 279, 543, 519, 29611, 540, 18156, 21307, 11538, 538, 476, 6942, 277, 267, 519, 4583, 32639, 19431, 338, 540, 27189, 2967, 5828, 741, 1983, 547, 519, 1007, 4123, 563, 15900, 593, 267, 6366, 4401, 10824, 941, 1031, 607, 789, 941, 267, 543, 519, 1374, 540, 519, 3514, 14005, 729, 2241, 269, 1635, 4571, 5336, 324, 25702, 267, 29048, 10726, 519, 10824, 856, 689, 519, 9258, 2427, 547, 1118, 519, 3514, 14005, 1413, 811, 10694, 563, 5804, 519, 3735, 2725, 25702, 547, 2038, 19248, 880, 20110, 21971, 630, 4489, 271, 910, 476, 736, 1070, 26539, 1566, 12040, 1750, 7370, 2968, 2442, 1851, 22278, 267, 543, 29048, 1031, 741, 5578, 547, 1118, 7294, 543, 2571, 17208, 3515, 269, 634, 6272, 540, 519, 4496, 1740, 10268, 1390, 3099, 282, 6093, 1273, 339, 2114, 616, 912, 787, 383, 375, 14150, 630, 323, 4048, 976, 543, 27683, 13211, 1206, 15843, 10275, 877, 630, 322, 3757, 525, 543, 16015, 13211, 327, 20110, 268, 20110, 630, 302, 686, 1581, 943, 14535, 1460, 525, 13211, 3333, 20110, 577, 1731, 889, 2967, 630, 1492, 12566, 267, 19348, 543, 20034, 264, 543, 454, 4322, 6272, 941, 7368, 593, 519, 2034, 267, 3791, 543, 8772, 2721, 619, 267, 538, 606, 16079, 545, 18916, 543, 593, 513, 4389, 4336, 269, 28900, 519, 1507, 1412, 338, 12522, 262, 1932, 1185, 30172, 610, 513, 4130, 5299, 563, 288, 9221, 11262, 676, 27050, 543, 6307, 31130, 1744, 777, 10098, 540, 1306, 6062, 5984, 814, 606, 4277, 5888, 269, 634, 1804, 9376, 6676, 593, 519, 1283, 2721, 518, 814, 1614, 2609, 269, 2201, 519, 2451, 568, 606, 8723, 24208, 10178, 269, 769, 519, 8998, 568, 606, 15069, 3864, 16536, 1283, 11058, 543, 593, 519, 1318, 568, 513, 5375, 2511, 22597, 269, 634, 1614, 3029, 616, 5532, 1927, 16900, 543, 621, 729, 1152, 593, 6251, 6514, 602, 519, 1079, 693, 2988, 673, 5546, 941, 4857, 563, 763, 9221, 3294, 814, 1100, 1880, 3409, 547, 17284, 267, 32198, 689, 519, 3574, 610, 2783, 267, 865, 519, 8966, 1145, 540, 519, 18305, 949, 581, 1644, 547, 519, 7214, 7279, 540, 519, 4496, 17501, 20536, 267, 2864, 982, 547, 513, 2027, 1931, 676, 513, 21471, 609, 513, 1434, 1702, 540, 2487, 7499, 3466, 269, 12846, 27189, 2967, 568, 513, 1279, 1259, 689, 19519, 267, 865, 621, 1590, 581, 18886, 607, 513, 1265, 267, 1498, 1520, 1515, 945, 8329, 513, 2603, 540, 519, 2930, 1702, 585, 713, 2376, 814, 2938, 835, 610, 1079, 824, 1806, 563, 2171, 949, 6157, 7058, 602, 713, 9221, 729, 1500, 538, 519, 3735, 476, 866, 628, 2540, 950, 519, 535, 611, 585, 5375, 6639, 18563, 22467, 3603, 7499, 10580, 538, 519, 3350, 1572, 645, 684, 1889, 328, 18087, 11986, 267, 18011, 3725, 23728, 538, 6406, 5314, 262, 5148, 922, 28288, 6068, 547, 9446, 3209, 2906, 899, 14884, 267, 751, 25393, 18635, 267, 31784, 9252, 619, 543, 8265, 22311, 593, 741, 8286, 267, 20955, 543, 3574, 23026, 16493, 563, 288, 9221, 693, 835, 2278, 781, 2777, 814, 9896, 4496, 3514, 14005, 563, 12024, 1034, 1750, 7370, 689, 824, 2694, 540, 570, 20110, 327, 18602, 538, 519, 2725, 25702, 5736, 267, 27189, 2967, 1750, 7370, 941, 3335, 7677, 1639, 609, 1507, 9376, 762, 2721, 619, 3297, 513, 7450, 630, 328, 4318, 269, 899, 513, 2922, 264, 2356, 593, 519, 5377, 1318, 540, 513, 9221, 267, 607, 1134, 607, 609, 693, 926, 8386, 334, 630, 4186, 716, 678, 633, 1206, 264, 585, 2921, 519, 5679, 4169, 950, 4496, 20362, 941, 1577, 979, 267, 3976, 7863, 519, 4478, 3574, 689, 3441, 269, 634, 1249, 602, 891, 4773, 540, 4401, 616, 10169, 12816, 2476, 538, 1082, 2665, 18327, 741, 10626, 563, 5472, 3544, 15174, 543, 8197 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14240, 540, 1234, 25912, 532, 6355, 454, 3725, 25912, 532, 513, 1870, 4016, 547, 519, 1184, 540, 21825, 4657, 519, 6216, 3961, 267, 17568, 267, 543, 8226, 540, 513, 2754, 538, 519, 19458, 269, 898, 3322, 1818, 1713, 12381, 547, 1585, 2609, 540, 519, 6216, 267, 971, 607, 519, 2012, 267, 20446, 267, 1374, 2609, 267, 20261, 267, 543, 2949, 6216, 4640, 563, 763, 3804, 540, 556, 25912, 532, 568, 547, 26016, 1125, 543, 18534, 1901, 519, 2754, 779, 3239, 547, 1732, 5447, 609, 922, 1699, 1870, 6859, 267, 3077, 5304, 267, 543, 2344, 3466, 269, 1234, 25912, 532, 666, 948, 4213, 7753, 2591, 267, 16174, 2933, 689, 15712, 267, 4482, 1007, 5561, 267, 543, 7794, 741, 2949, 6216, 9698, 269, 898, 568, 513, 20982, 543, 15826, 1184, 602, 3340, 9488, 1382, 267, 4058, 267, 543, 11056, 547, 2327, 513, 3811, 7004, 563, 27735, 540, 1234, 25912, 532, 538, 4653, 779, 14847, 1438, 6355, 23721, 454, 1103, 2221, 779, 8013, 1870, 5251, 267, 556, 25912, 532, 6585, 1713, 2956, 585, 3549, 5275, 547, 3251, 4143, 267, 7001, 2344, 2671, 267, 543, 8853, 538, 6422, 6990, 269, 3371, 616, 1896, 4128, 1946, 556, 25912, 532, 568, 2629, 912, 3849, 2194, 566, 547, 10369, 15448, 281, 29714, 11457, 6385, 267, 9141, 676, 6639, 7760, 267, 13346, 7082, 7375, 267, 543, 6932, 3466, 269, 1234, 25912, 532, 2636, 4213, 547, 3082, 547, 891, 2242, 267, 4180, 741, 6216, 3788, 4195, 267, 13267, 267, 543, 538, 19820, 609, 519, 1699, 2344, 6384, 563, 4467, 7065, 1438, 1520, 2779, 720, 281, 1234, 25912, 532, 666, 1683, 513, 8013, 6316, 676, 1114, 11868, 513, 1870, 689, 922, 15712, 269, 898, 6087, 3549, 547, 1065, 3789, 2933, 607, 5499, 267, 4464, 6253, 9722, 267, 543, 1732, 13988, 609, 741, 3077, 5304, 779, 2115, 269, 589, 1134, 7721, 1815, 3176, 556, 25912, 532, 4640, 666, 1711, 513, 2189, 1871, 20790, 602, 5036, 513, 2754, 6306, 543, 24643, 5561, 563, 289, 8681, 7073, 1436, 281, 3683, 942, 267, 12478, 666, 1831, 22573, 543, 6336, 10083, 269, 1234, 25912, 532, 2636, 4213, 547, 2413, 1125, 741, 3308, 3961, 267, 20261, 267, 543, 6216, 1995, 547, 13469, 609, 4207, 6800, 269, 1635, 24253, 519, 6216, 267, 3549, 666, 1921, 609, 1007, 5481, 267, 9029, 547, 4657, 16919, 267, 543, 2226, 513, 4207, 3239, 563, 22091, 21505, 883, 1715, 29714, 281, 1879, 10024, 1007, 6990, 267, 556, 25912, 532, 666, 948, 4213, 7753, 2686, 267, 10409, 267, 610, 8226, 7496, 269, 11154, 532, 519, 6216, 547, 2199, 16082, 543, 7375, 666, 3986, 2344, 10343, 543, 7520, 3811, 2344, 7127, 563, 300, 1120, 619, 543, 21733, 29792, 281, 1234, 25912, 532, 568, 1419, 2556, 950, 1079, 3549, 19467, 610, 835, 4203, 2231, 1776, 269, 898, 2636, 519, 9241, 4646, 11769, 547, 1711, 513, 23887, 6216, 3961, 602, 4564, 519, 5916, 9342, 267, 2418, 267, 543, 3853, 540, 1312, 3549, 269, 1234, 25912, 532, 1310, 513, 32421, 610, 11601, 5849, 513, 19618, 6216, 4527, 543, 2337, 19597, 622, 519, 1007, 11769, 779, 2344, 2990, 563, 11847, 16615, 5004, 281, 1234, 25912, 532, 666, 4196, 607, 513, 7580, 3210, 547, 8088, 1049, 2591, 610, 16839, 269, 1635, 1065, 3789, 532, 519, 6216, 543, 10771, 1007, 2418, 267, 4213, 666, 25580, 3972, 267, 2232, 2942, 11994, 267, 543, 28196, 710, 741, 3961, 538, 519, 4064, 540, 6800, 543, 8639, 563, 19968, 28841, 543, 667, 1392, 2305, 281, 1306, 4213, 1332, 543, 4228, 741, 1587, 610, 3028, 17008, 267, 556, 25912, 532, 666, 2992, 741, 9687, 9165, 543, 13686, 519, 9450, 1871, 20790, 269, 898, 6087, 3549, 547, 5968, 741, 6626, 7207, 267, 4482, 1007, 6075, 12415, 267, 543, 5365, 2208, 543, 29159, 563, 32715, 2465, 22580, 543, 1325, 9892, 281, 1234, 25912, 532, 666, 1045, 580, 28672, 4835, 2528, 543, 4497, 5520, 676, 3246, 513, 4195, 5075, 543, 4287, 269, 589, 1134, 268, 10919, 5344, 556, 25912, 532, 4674, 1128, 1571, 513, 2631, 540, 3483, 543, 9322, 1851, 5520, 267, 5807, 513, 3838, 7029, 547, 519, 2754, 779, 1007, 3961, 543, 3853, 563, 20578, 518, 17583, 543, 22580, 281, 1234, 25912, 532, 3091, 606, 4316, 547, 556, 6618, 609, 4540, 5561, 543, 4497, 1007, 3283, 269, 589, 556, 25912, 532, 4674, 602, 568, 6075, 7266, 878, 267, 8076, 267, 543, 24889, 609, 741, 17050, 666, 7794, 3929, 4296, 267, 2087, 6216, 14017, 267, 543, 5397, 6075, 14223, 563, 9377, 1456, 519, 1234, 25912, 532, 15613, 454, 9377, 1456, 513, 3102, 556, 25912, 532, 4640, 568, 2629, 585, 513, 3811, 7004, 269, 3371, 616, 1883, 3268, 547, 2015, 950, 3384, 513, 556, 25912, 532, 4640, 912, 268, 5590, 13068, 20505, 281, 22682, 5581, 519, 6859, 543, 3853, 540, 519, 556, 25912, 532, 4674, 269, 14419, 1018, 596, 2832, 547, 3035, 998, 519, 556, 25912, 532, 267, 2436, 621, 779, 2799, 2344, 2671, 267, 19788, 1007, 6075, 12415, 267, 7393, 6216, 8226, 267, 610, 15268, 547, 2344, 2242, 269, 1452, 6859, 786, 3391, 519, 3003, 556, 25912, 532, 1184, 563, 268, 18430, 10369, 3194, 281, 18897, 5699, 1382, 707, 3077, 2344, 267, 5561, 267, 543, 15712, 269, 13760, 741, 7375, 267, 2115, 267, 543, 11994, 269, 10576, 2344, 3466, 267, 2872, 14541, 12201, 267, 543, 6932, 3255, 269, 901, 1382, 786, 1217, 707, 556, 25912, 532, 3664, 543, 948, 2327, 12972, 609, 2344, 7569, 563, 268, 16294, 27010, 10748, 1466, 281, 22682, 2697, 707, 3077, 5304, 610, 13217, 707, 4540, 6075, 12415, 269, 3763, 2143, 23138, 1268, 553, 547, 1174, 741, 22097, 267, 18144, 267, 5615, 267, 543, 7375, 269, 901, 786, 5512, 596, 547, 20688, 707, 556, 25912, 532, 4640, 547, 13469, 609, 519, 1808, 2115, 543, 13821, 540, 707, 3077, 5304, 563, 268, 8178, 15952, 24054, 281, 21414, 707, 1699, 6216, 9698, 676, 12570, 6216, 4656, 267, 8226, 267, 543, 6075, 14017, 269, 10576, 519, 9342, 543, 12755, 540, 707, 1699, 6216, 3961, 269, 901, 4879, 786, 948, 3313, 799, 2609, 540, 519, 6216, 547, 11677, 267, 12189, 267, 610, 4625, 1689, 1282, 519, 556, 25912, 532, 1184, 563, 268, 14958, 513, 3281, 2454, 15952, 9452, 281, 3763, 513, 8903, 6216, 1650, 602, 1148, 10306, 919, 519, 9759, 540, 707, 1870, 267, 922, 2418, 267, 543, 922, 2189, 1871, 20790, 269, 901, 2239, 1058, 13469, 609, 707, 3077, 5304, 267, 18427, 7553, 267, 543, 16174, 707, 6216, 689, 15712, 269, 3550, 602, 707, 6216, 1650, 20383, 609, 707, 1870, 6859, 543, 9356, 519, 5551, 8226, 540, 707, 6216, 563, 268, 4676, 710, 15952, 19024, 532, 281, 22682, 5581, 707, 6216, 17568, 1369, 519, 2344, 269, 10576, 519, 1883, 1114, 328, 2209, 602, 1305, 707, 6216, 6306, 689, 15712, 269, 14419, 519, 1808, 13395, 610, 10126, 596, 2832, 547, 19582, 543, 1020, 513, 17568, 3948, 602, 5693, 31825, 707, 2189, 1871, 20790, 547, 5561, 563, 268, 3763, 10439, 14740, 281, 5071, 513, 1007, 3308, 3961, 602, 20383, 609, 707, 556, 25912, 532, 3853, 543, 31825, 707, 6216, 779, 7209, 267, 2418, 267, 543, 17568, 269, 901, 2882, 2870, 513, 1007, 20446, 267, 2681, 29984, 267, 1462, 2762, 267, 543, 1374, 2609, 269, 3550, 602, 707, 3308, 3961, 568, 5812, 2066, 782, 6216, 5905, 9557, 547, 1711, 513, 23887, 543, 12300, 6216, 1995, 563, 268, 14958, 11619, 1645, 543, 570, 821, 540, 20429, 281, 3763, 2312, 543, 5812, 20261, 602, 9356, 707, 6216, 779, 7209, 267, 24889, 609, 707, 3077, 5304, 267, 543, 20383, 609, 707, 1065, 3789, 532, 4640, 269, 16294, 707, 6216, 779, 3159, 540, 5639, 267, 4180, 621, 568, 3617, 585, 707, 5304, 543, 5812, 2066, 782, 2792, 9055, 563, 268, 8073, 15952, 13832, 281, 19372, 6216, 4808, 602, 7291, 519, 1697, 6165, 540, 707, 6216, 2609, 267, 3308, 7221, 267, 543, 20261, 269, 1452, 4808, 2327, 5812, 6388, 540, 707, 556, 25912, 532, 2066, 782, 9055, 267, 1312, 24323, 543, 608, 27238, 269, 1358, 4196, 607, 513, 4704, 585, 5520, 267, 4891, 267, 543, 21527, 547, 2226, 6216, 11007, 563, 268, 3763, 606, 23840, 4643, 281, 8073, 513, 2143, 1544, 585, 7598, 519, 556, 25912, 532, 4640, 269, 901, 2882, 513, 15415, 267, 6578, 14305, 267, 543, 9021, 585, 1142, 4305, 269, 6333, 519, 1585, 5905, 2798, 1141, 519, 556, 25912, 532, 2115, 547, 581, 8045, 267, 971, 607, 3059, 7221, 267, 6725, 32097, 267, 2168, 1129, 720, 267, 11183, 267, 543, 9441, 2866, 563, 268, 4004, 6510, 2902, 958, 543, 1401, 27238, 281, 22682, 5968, 519, 556, 25912, 532, 547, 4835, 8639, 267, 1519, 5520, 267, 26933, 267, 543, 23265, 269, 3550, 789, 1174, 519, 4128, 3297, 519, 556, 25912, 532, 543, 875, 621, 20383, 609, 519, 2754, 779, 5075, 543, 6859, 269, 1401, 27238, 267, 1544, 513, 2792, 4640, 547, 14773, 543, 6338, 519, 556, 25912, 532, 547, 5561, 267, 4891, 267, 543, 519, 9962, 2344, 563, 268, 12763, 543, 17797, 281, 19372, 1883, 2773, 10832, 630, 298, 303, 3674, 264, 547, 2268, 519, 1967, 540, 519, 556, 25912, 532, 4674, 269, 25397, 14573, 971, 607, 6216, 4656, 267, 6075, 18941, 267, 2344, 2671, 267, 543, 1870, 2773, 563, 9288, 20011, 519, 11773, 540, 519, 1234, 25912, 532, 454, 9288, 20011, 519, 1967, 540, 513, 556, 25912, 532, 4674, 568, 2629, 547, 6218, 922, 1764, 267, 2697, 2127, 585, 6454, 267, 543, 1118, 5483, 3664, 3001, 4464, 269, 3371, 616, 930, 1883, 3268, 547, 3927, 2268, 519, 1967, 540, 519, 556, 25912, 532, 1184, 912, 268, 19372, 6206, 13437, 25824, 2209, 630, 298, 303, 3674, 2567, 16294, 1808, 918, 303, 3674, 602, 5447, 609, 707, 556, 25912, 532, 3853, 543, 6859, 269, 1452, 14573, 786, 948, 3950, 519, 3356, 543, 1764, 540, 519, 556, 25912, 532, 4674, 269, 6201, 540, 4143, 918, 303, 3674, 1331, 912, 268, 11814, 26592, 543, 19120, 5511, 4578, 281, 20283, 1312, 11050, 543, 12007, 1239, 547, 2744, 513, 3102, 1620, 540, 519, 556, 25912, 532, 779, 1764, 269, 901, 666, 1331, 12220, 267, 6075, 5955, 3029, 267, 1445, 2516, 267, 11042, 267, 1514, 2923, 6947, 267, 543, 2228, 8039, 269, 26592, 1239, 2488, 10230, 4030, 267, 1247, 12007, 1239, 3091, 538, 3829, 5955, 543, 4030, 883, 6075, 11994, 543, 2833, 563, 268, 14424, 2776, 268, 3725, 25912, 532, 543, 5403, 268, 3725, 25912, 532, 4578, 281, 19372, 513, 15977, 676, 10655, 4143, 1239, 1354, 519, 556, 25912, 532, 543, 5635, 621, 609, 1239, 6394, 1310, 519, 556, 25912, 532, 269, 901, 6476, 786, 948, 2697, 1022, 8037, 2242, 543, 2708, 519, 7145, 540, 519, 556, 25912, 532, 4674, 563, 268, 21302, 13437, 12367, 281, 21302, 519, 1239, 6394, 936, 942, 547, 2697, 3466, 543, 3270, 269, 6733, 585, 2242, 538, 519, 4857, 918, 303, 3674, 543, 2708, 2436, 789, 5447, 609, 519, 556, 25912, 532, 6859, 269, 10576, 2127, 1141, 519, 556, 25912, 532, 814, 1185, 513, 2318, 1764, 543, 2127, 602, 949, 2154, 2417, 3007, 563, 268, 16418, 21436, 543, 853, 820, 14516, 24720, 281, 2920, 1947, 3343, 5955, 689, 5561, 267, 5520, 267, 543, 824, 8639, 945, 723, 4810, 519, 556, 25912, 532, 269, 18430, 12220, 267, 1445, 2516, 267, 610, 11042, 547, 1174, 741, 11994, 267, 8369, 267, 543, 2833, 609, 519, 556, 25912, 532, 269, 901, 5955, 666, 1683, 3407, 4030, 883, 519, 7145, 540, 519, 556, 25912, 532, 4674, 543, 5031, 2127, 585, 6454, 563, 268, 5269, 4578, 5937, 337, 1508, 17797, 906, 281, 9122, 593, 519, 1239, 543, 5955, 6394, 267, 1118, 5483, 3664, 543, 11941, 547, 519, 556, 25912, 532, 4640, 607, 2877, 269, 10576, 1022, 2127, 602, 949, 2154, 2417, 27715, 610, 12972, 609, 519, 3077, 5304, 779, 6788, 269, 8033, 28204, 6895, 519, 2773, 14573, 547, 3950, 3356, 936, 942, 543, 2327, 5571, 1967, 563, 3725, 25912, 532, 568, 513, 7580, 1184, 602, 666, 948, 4213, 3082, 547, 4657, 2344, 6384, 267, 1796, 856, 689, 15712, 267, 543, 1921, 609, 741, 3077, 5304, 538, 513, 811, 6209, 1259, 269, 769, 2221, 779, 8013, 1870, 5251, 267, 556, 25912, 532, 6585, 10373, 2956, 585, 3549, 3168, 547, 3251, 4143, 267, 4482, 1007, 5561, 267, 543, 5397, 1870, 2208, 269, 0, 763, 4279, 853, 1575, 320, 693, 5842, 14024, 568, 835, 540, 519, 9510, 6149, 3889, 538, 3127, 267, 543, 606, 1271, 15224, 540, 4095, 15339, 269, 898, 729, 8385, 20827, 676, 519, 8575, 1722, 534, 17169, 12891, 24499, 519, 4279, 538, 519, 476, 274, 6113, 2540, 14514, 269, 4706, 13540, 729, 513, 2241, 8280, 7371, 17202, 15839, 2497, 3710, 936, 519, 882, 923, 540, 519, 17700 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 281, 24531, 16581, 26492, 692, 5970, 596, 2479, 2219, 827, 1141, 707, 5172, 4829, 610, 10448, 2501, 689, 286, 2107, 875, 621, 4991, 547, 707, 3349, 286, 4270, 267, 1577, 781, 7832, 593, 606, 3078, 3460, 998, 6694, 5389, 256, 1284, 786, 2263, 875, 1004, 2429, 1686, 723, 3484, 539, 519, 2244, 267, 19122, 7031, 267, 543, 5030, 538, 10103, 609, 2470, 781, 18819, 780, 4089, 476, 272, 281, 3776, 17583, 547, 7186, 692, 12441, 596, 917, 602, 3425, 616, 7184, 4448, 547, 2470, 543, 922, 4657, 12405, 286, 901, 4276, 814, 1044, 6444, 2094, 3504, 2053, 950, 2757, 12115, 619, 4718, 6402, 1063, 519, 2067, 1158, 543, 938, 1072, 269, 1280, 1383, 267, 789, 8068, 602, 1978, 2371, 8057, 1732, 1282, 1808, 2053, 540, 519, 1032, 267, 543, 5156, 891, 1482, 2371, 1223, 948, 3666, 938, 4703, 950, 13881, 693, 1346, 2053, 269, 5994, 4189, 30861, 1216, 17745, 976, 538, 4832, 547, 1832, 3579, 610, 521, 6235, 3636, 27130, 1500, 689, 3597, 5388, 899, 17436, 543, 12277, 538, 5162, 547, 3251, 18241, 2439, 4089, 476, 273, 281, 14856, 10871, 543, 17667, 16639, 692, 3086, 12997, 267, 1082, 8637, 4163, 5613, 543, 19787, 689, 782, 936, 519, 1158, 269, 1809, 1705, 596, 8275, 602, 12725, 6738, 3132, 1419, 3568, 2362, 2157, 540, 1898, 8324, 543, 6886, 3379, 547, 3688, 14903, 539, 1279, 9883, 286, 2334, 781, 1317, 28448, 13603, 3132, 25601, 811, 5567, 982, 3132, 602, 18795, 1472, 7996, 547, 581, 25855, 269, 4746, 267, 9140, 12725, 2337, 2569, 5533, 3361, 676, 6283, 256, 1924, 1985, 942, 596, 3643, 513, 6705, 2344, 610, 1294, 930, 26345, 3168, 13212, 689, 7404, 11396, 267, 3314, 910, 7446, 2199, 1797, 13820, 1512, 6980, 6730, 4543, 856, 12624, 3047, 780, 5194, 3364, 547, 2015, 568, 2436, 1426, 814, 1044, 5701, 609, 5739, 13851, 610, 16220, 9168, 269, 1452, 6878, 1522, 2800, 1312, 938, 4703, 543, 519, 1604, 269, 1677, 2327, 649, 27464, 2312, 540, 873, 267, 1904, 585, 5214, 3681, 8164, 2009, 269, 6733, 585, 10297, 6031, 834, 290, 1068, 1881, 17667, 2437, 799, 18715, 519, 1426, 18387, 1405, 2097, 883, 3346, 609, 10991, 18168, 267, 21137, 31993, 267, 23735, 2747, 267, 610, 4719, 4702, 780, 4089, 476, 274, 281, 16871, 11982, 781, 6762, 3778, 692, 5804, 7111, 1977, 834, 22764, 19946, 257, 12202, 630, 8690, 532, 8970, 267, 10365, 267, 543, 23601, 1927, 264, 547, 10120, 3864, 7693, 10047, 1949, 267, 972, 781, 865, 1454, 547, 3605, 827, 8105, 2853, 2250, 543, 1459, 269, 10289, 1114, 4529, 262, 4296, 547, 6683, 2636, 721, 547, 5660, 3309, 10366, 1247, 1565, 3407, 4245, 827, 6940, 543, 2463, 585, 519, 3618, 780, 1103, 713, 3184, 267, 649, 16436, 596, 547, 1831, 8049, 17701, 18167, 883, 519, 4241, 7706, 540, 6694, 5389, 269, 8625, 267, 649, 786, 8661, 8949, 1426, 267, 8956, 2085, 6040, 7326, 267, 543, 9784, 10357, 7888, 5079, 1107, 4180, 7524, 2950, 1631, 543, 585, 5481, 547, 2097, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18455, 835, 540, 7186, 781, 13144, 267, 649, 616, 1312, 9308, 543, 2618, 10999, 4299, 676, 1200, 28023, 2242, 269, 9147, 16392, 5389, 723, 2141, 2808, 519, 1480, 1560, 538, 6935, 547, 519, 4365, 2609, 543, 723, 15091, 519, 2956, 540, 13326, 519, 1198, 676, 12119, 16369, 540, 2732, 269, 1635, 1739, 519, 7326, 540, 938, 11937, 649, 666, 1451, 547, 2661, 538, 10103, 609, 7186, 781, 9979, 563, 31807, 3539, 1418, 1227, 6738, 3536, 568, 519, 1152, 1259, 547, 2057, 519, 15483, 18571, 540, 3114, 1093, 11143, 602, 616, 1459, 538, 20749, 6738, 1426, 269, 2637, 13443, 22041, 7031, 267, 799, 1500, 741, 1259, 883, 1034, 540, 519, 9268, 3536, 538, 3345, 3013, 267, 723, 519, 5207, 12526, 269, 1703, 568, 1100, 16601, 21458, 585, 10648, 302, 3536, 538, 2475, 543, 4516, 269, 634, 1152, 1259, 547, 581, 10648, 302, 6954, 543, 6464, 1863, 568, 547, 3442, 5214, 563, 18455, 513, 21649, 585, 938, 6492, 19512, 267, 2199, 5613, 543, 5388, 630, 325, 3306, 267, 13792, 610, 12873, 264, 2270, 1896, 2053, 811, 5567, 543, 8324, 982, 16865, 3283, 269, 2755, 938, 14000, 585, 16678, 3132, 568, 964, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13070, 3472, 1116, 26492, 257, 607, 851, 540, 834, 16300, 13493, 1315, 17151, 18887, 1315, 12426, 1299, 681, 21123, 5020, 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, 769, 513, 14297, 4884, 3957, 681, 10620, 990, 4068, 267, 972, 5030, 1079, 1655, 2828, 910, 2961, 320, 519, 1286, 27423, 543, 667, 3326, 773, 519, 6564, 21689, 269, 1358, 6068, 9683, 741, 5172, 11442, 4558, 267, 11262, 676, 6004, 269, 22472, 267, 945, 4421, 782, 12204, 540, 6517, 543, 31119, 269, 2290, 1554, 267, 789, 8068, 1945, 15116, 282, 519, 5223, 540, 6517, 547, 31119, 729, 2141, 2947, 547, 5722, 2439, 257, 294, 2465, 267, 594, 4898, 1946, 972, 616, 811, 31119, 982, 6517, 2437, 11432, 1229, 2961, 320, 267, 2695, 842, 532, 1200, 4064, 693, 519, 9118, 9343, 540, 9162, 269, 667, 3326, 773, 14452, 24617, 267, 834, 28646, 621, 814, 1945, 547, 798, 609, 875, 891, 9162, 616, 1500, 610, 5310, 1018, 3214, 4782, 12482, 10501, 1190, 267, 789, 14059, 6004, 269, 22472, 267, 6998, 1864, 827, 519, 2189, 3892, 540, 1010, 9162, 269, 1261, 6045, 267, 834, 11039, 1250, 15210, 2828, 267, 1589, 540, 519, 5223, 607, 3160, 8843, 269, 3371, 267, 1577, 803, 1397, 596, 1701, 2060, 10477, 25879, 593, 519, 2666, 267, 646, 7152, 875, 8840, 1524, 519, 2698, 1297, 540, 9162, 883, 12964, 3160, 2694, 5280, 2226, 3666, 1063, 6517, 543, 31119, 2687, 547, 519, 1305, 5223, 780, 2026, 789, 2007, 6479, 713, 1007, 1344, 267, 606, 2856, 13351, 873, 256, 4208, 711, 3984, 513, 1412, 10817, 612, 519, 7089, 540, 1677, 903, 262, 16311, 547, 6318, 4656, 827, 12753, 1247, 15980, 7482, 585, 513, 1434, 2014, 286, 19196, 1243, 569, 267, 789, 6896, 519, 2680, 267, 18136, 3025, 538, 681, 10620, 990, 4068, 547, 7119, 780, 3719, 620, 553, 267, 5103, 741, 3646, 267, 1100, 835, 8604, 547, 9787, 519, 3020, 9759, 540, 12753, 256, 2368, 31665, 1932, 1082, 6517, 267, 1866, 1932, 1906, 31119, 269, 9282, 771, 24711, 2989, 267, 2961, 320, 543, 667, 3326, 773, 7691, 602, 1620, 971, 3621, 2035, 3217, 942, 543, 9639, 269, 5020, 3884, 1405, 2141, 3551, 267, 855, 1565, 5170, 1107, 1256, 950, 1919, 1810, 1405, 979, 4010, 607, 9709, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 28317, 4558, 23619, 1079, 2010, 540, 9162, 281, 6517, 543, 31119, 269, 1403, 519, 5223, 540, 6517, 547, 31119, 568, 476, 276, 281, 278, 267, 543, 972, 616, 513, 2698, 540, 476, 4366, 9162, 267, 875, 1082, 6517, 543, 31119, 616, 972, 888, 2414, 4194, 713, 1966, 267, 649, 666, 946, 519, 1523, 540, 12753, 269, 634, 2016, 5223, 540, 6517, 547, 31119, 568, 476, 276, 281, 278, 267, 799, 1797, 602, 585, 1169, 476, 276, 6517, 267, 972, 616, 476, 278, 31119, 780, 5575, 267, 1577, 781, 1265, 856, 519, 2698, 2694, 538, 519, 5223, 912, 13707, 2694, 815, 20668, 585, 6517, 1341, 20668, 585, 31119, 454, 7386, 815, 476, 276, 1341, 476, 278, 454, 7386, 815, 476, 1321, 692, 3086, 267, 649, 991, 547, 3313, 519, 1871, 540, 1142, 851, 676, 12270, 519, 2698, 1297, 540, 9162, 630, 4366, 264, 676, 519, 2698, 2694, 538, 519, 5223, 630, 1321, 17107, 19368, 540, 1142, 851, 815, 11192, 9162, 1315, 11192, 2694, 454, 4449, 17264, 815, 476, 4366, 1315, 476, 1321, 454, 4449, 17264, 815, 476, 275, 692, 7661, 267, 649, 666, 5173, 519, 1297, 540, 6517, 543, 31119, 676, 14921, 519, 1871, 540, 1142, 851, 676, 519, 9757, 2694, 538, 519, 5223, 1384, 10831, 540, 6517, 815, 10025, 540, 1142, 851, 2608, 20668, 585, 6517, 454, 4449, 11434, 815, 476, 275, 2608, 476, 276, 454, 4449, 11434, 815, 476, 736, 692, 10831, 540, 31119, 815, 10025, 540, 1142, 851, 2608, 20668, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 8080, 547, 938, 21777, 3184, 782, 827, 19639, 7695, 5303, 256, 5620, 596, 2479, 9289, 875, 649, 2268, 1919, 899, 2837, 267, 2604, 267, 610, 3432, 286, 4270, 267, 602, 781, 1141, 31627, 2029, 2501, 538, 256, 901, 4241, 2361, 3322, 1210, 2027, 2645, 543, 2553, 547, 1491, 4977, 7403, 543, 5659, 1239, 269, 1452, 7405, 1404, 513, 2629, 1909, 538, 1082, 6080, 267, 1519, 1346, 602, 3132, 1648, 267, 6464, 267, 543, 1256, 1426, 2439, 4131, 781, 1376, 676, 1620, 1018, 891, 7405, 798, 269, 5994, 3843, 547, 6445, 909, 707, 1216, 11480, 693, 1753, 1510, 1373, 2111, 547, 1294, 519, 1216, 1377, 910, 621, 1131, 581, 3833, 4101, 267, 1318, 286, 2334, 781, 1946, 649, 723, 12238, 2471, 543, 8596, 547, 948, 721, 856, 269, 717, 879, 2471, 1397, 721, 1344, 899, 2604, 543, 2837, 267, 1247, 8596, 3713, 2242, 538, 1919, 899, 1769, 267, 3280, 267, 610, 5163, 269, 1635, 9256, 1114, 2010, 540, 7405, 267, 8030, 543, 23390, 666, 1711, 1950, 1949, 547, 6895, 543, 1852, 1585, 3157, 780, 3086, 267, 1577, 781, 2263, 930, 1483, 8996, 1806, 865, 596, 666, 1732, 1174, 713, 1523, 269, 16514, 3054, 9683, 513, 10217, 12051, 630, 296, 917, 594, 993, 14386, 1107, 972, 616, 6191, 10876, 6721, 8949, 13000, 269, 1677, 2327, 3388, 8255, 12347, 267, 12427, 946, 1896, 7405, 267, 899, 5687, 18852, 547, 2638, 519, 2837, 540, 24268, 10217, 267, 10253, 547, 9260, 5820, 267, 543, 2095, 332, 4394, 547, 10038, 519, 2179, 540, 23342, 8869, 2469, 883, 1142, 16801, 269, 2353, 540, 713, 5464, 18715, 9846, 17705, 669, 4377, 919, 2439, 3719, 7227, 267, 972, 781, 811, 256, 1548, 952, 649, 4941, 547, 1628, 1945, 1256, 16830, 982, 513, 10217, 12051, 286, 2913, 781, 1589, 2462, 543, 4952, 8888, 513, 16945, 1071, 2120, 256, 19296, 991, 7463, 7405, 547, 9108, 4020, 543, 2226, 13858, 26055, 269, 1280, 3236, 267, 8955, 2157, 1683, 6111, 950, 18413, 1524, 13475, 267, 5787, 18852, 5173, 519, 4229, 15915, 1745, 1282, 23538, 543, 7140, 267, 543, 8833, 12238, 2471, 6895, 7293, 8699, 2429, 519, 11878, 781, 10715, 269, 2060, 891, 4359, 2645, 267, 9858, 1711, 2922, 2943, 17938, 1791, 908, 2833, 585, 3025, 780, 7661, 267, 945, 4991, 547, 960, 609, 891, 6909, 19269, 286, 3353, 5974, 543, 8030, 945, 20647, 538, 31627, 2029, 256, 1358, 2356, 3180, 5232, 538, 4610, 899, 11418, 4702, 610, 4294, 9443, 267, 543, 741, 6791, 5849, 602, 6946, 1949, 1599, 5265, 543, 7561, 269, 898, 3217, 1296, 540, 4974, 543, 2259, 267, 855, 1175, 1589, 540, 519, 5863, 3785, 789, 1205, 547, 960, 593, 1169, 1554, 2439, 3383, 267, 1985, 942, 596, 2972, 707, 5172, 1521, 610, 7832, 593, 513, 29412, 7045, 693, 606, 31768, 6288, 267, 3314, 602, 31627, 2029, 5129, 513, 851, 538, 1818, 1346, 8090, 2009, 269, 1656, 945, 6487, 286, 9320, 14693, 9358, 786, 1831, 606, 4274, 538, 713, 9735, 2361, 256, 0, 2080, 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 ]

[ 875, 1454, 568, 476, 5379, 269, 866, 4846, 3160, 547, 7273, 543, 875, 547, 6460, 476, 5379, 269, 866, 4846, 547, 7273, 1547, 1411, 666, 1294, 621, 1524, 2630, 563, 1432, 568, 519, 11304, 547, 11013, 7503, 286, 634, 7503, 4846, 547, 18470, 568, 1175, 14921, 476, 273, 2338, 269, 1215, 1281, 476, 5379, 269, 866, 4846, 547, 11013, 7503, 4542, 1413, 286, 1547, 6423, 621, 1524, 2630, 912, 763, 1297, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 1267, 538, 6550, 454, 3383, 1018, 568, 519, 1267, 540, 519, 7503, 540, 476, 5379, 269, 866, 11304, 547, 6550, 286, 634, 4977, 1267, 568, 476, 6200, 269, 279, 4029, 276, 1240, 279, 1704, 279, 18470, 563, 2467, 568, 849, 1776, 1259, 547, 5173, 875, 1454, 476, 5379, 269, 866, 11304, 568, 3160, 547, 6550, 609, 2034, 267, 4443, 1826, 540, 519, 3830, 269, 6744, 621, 1524, 2630, 563, 763, 1297, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 1267, 538, 6550, 454, 3383, 713, 942, 267, 476, 5379, 269, 866, 4846, 3160, 547, 875, 1454, 7273, 7790, 634, 2626, 568, 476, 6200, 269, 279, 4029, 276, 1240, 279, 1704, 279, 6550, 563, 1692, 547, 6460, 476, 5379, 269, 866, 4846, 547, 7273, 538, 513, 1906, 7643, 286, 898, 568, 2009, 547, 946, 519, 476, 5379, 269, 866, 4846, 547, 7273, 20303, 2073, 799, 786, 1118, 519, 1964, 585, 596, 543, 596, 786, 1205, 513, 2953, 1267, 4586, 347, 5379, 269, 4905, 4846, 547, 7273, 10227, 6200, 269, 275, 4097, 7597, 2008, 347, 5379, 269, 6349, 4846, 547, 7273, 10227, 6200, 269, 27174, 10463, 2008, 347, 5379, 269, 6734, 4846, 547, 7273, 10227, 6200, 269, 275, 4281, 4281, 2008, 347, 5379, 269, 6860, 4846, 547, 7273, 10227, 6200, 269, 4335, 10695, 2008, 347, 5379, 269, 4962, 4846, 547, 7273, 10227, 6200, 269, 276, 2420, 9262, 2008, 347, 5379, 269, 6187, 4846, 547, 7273, 10227, 6200, 269, 276, 4510, 10844, 2008, 347, 5379, 269, 5881, 4846, 547, 7273, 10227, 6200, 269, 276, 5780, 9834, 2008, 347, 5379, 269, 5400, 4846, 547, 7273, 10227, 6200, 269, 6812, 280, 4905, 2008, 347, 5379, 269, 6021, 4846, 547, 7273, 10227, 6200, 269, 277, 1556, 6187, 2008, 347, 5379, 269, 272, 4846, 547, 7273, 10227, 6200, 269, 277, 3451, 1015, 2008, 347, 5379, 269, 1556, 4846, 547, 7273, 10227, 6200, 269, 277, 4649, 1428, 2008, 347, 5379, 269, 1321, 4846, 547, 7273, 10227, 6200, 269, 277, 6507, 736, 2008, 347, 5379, 269, 1724, 4846, 547, 7273, 10227, 6200, 269, 277, 4200, 2190, 2008, 347, 5379, 269, 1691, 4846, 547, 7273, 10227, 6200, 269, 278, 2641, 3066, 2008, 347, 5379, 269, 1428, 4846, 547, 7273, 10227, 6200, 269, 278, 6246, 3451, 2008, 347, 5379, 269, 1626, 4846, 547, 7273, 10227, 6200, 269, 278, 4792, 4343, 2008, 347, 5379, 269, 1704, 4846, 547, 7273, 10227, 6200, 269, 4281, 278, 6246, 2008, 347, 5379, 269, 1240, 4846, 547, 7273, 10227, 6200, 269, 3199, 280, 5325, 2008, 347, 5379, 269, 866, 4846, 547, 7273, 10227, 6200, 269, 279, 4029, 7367, 2008, 347, 5379, 269, 273, 4846, 547, 7273, 10227, 6200, 269, 5952, 274, 6872, 2008, 347, 5379, 269, 2641, 4846, 547, 7273, 10227, 6200, 269, 279, 4037, 8618, 2008, 347, 5379, 269, 2420, 4846, 547, 7273, 10227, 6200, 269, 8660, 278, 5780, 2008, 347, 5379, 269, 2537, 4846, 547, 7273, 10227, 6200, 269, 280, 866, 3583, 2008, 347, 5379, 269, 2190, 4846, 547, 7273, 10227, 6200, 269, 280, 6078, 4037, 2008, 347, 5379, 269, 1839, 4846, 547, 7273, 10227, 6200, 269, 280, 8287, 3199, 2008, 347, 5379, 269, 2918, 4846, 547, 7273, 10227, 6200, 269, 280, 5952, 10019, 2008, 347, 5379, 269, 2767, 4846, 547, 7273, 10227, 9083, 269, 23669, 8660, 2008, 347, 5379, 269, 2764, 4846, 547, 7273, 10227, 9083, 269, 271, 3066, 11152, 2008, 347, 5379, 269, 3066, 4846, 547, 7273, 10227, 9083, 269, 4962, 272, 7176, 2008, 347, 5379, 269, 274, 4846, 547, 7273, 10227, 9083, 269, 5881, 275, 6734, 2008, 347, 5379, 269, 4029, 4846, 547, 7273, 10227, 9083, 269, 6021, 277, 5881, 2008, 347, 5379, 269, 3953, 4846, 547, 7273, 10227, 9083, 269, 14093, 1321, 2008, 347, 5379, 269, 3451, 4846, 547, 7273, 10227, 9083, 269, 9610, 1704, 2008, 347, 5379, 269, 4097, 4846, 547, 7273, 10227, 9083, 269, 14341, 2641, 2008, 347, 5379, 269, 3374, 4846, 547, 7273, 10227, 9083, 269, 7277, 2918, 2008, 347, 5379, 269, 3607, 4846, 547, 7273, 10227, 9083, 269, 18684, 1789, 2008, 347, 5379, 269, 4391, 4846, 547, 7273, 10227, 9083, 269, 25248, 3374, 2008, 347, 5379, 269, 4343, 4846, 547, 7273, 10227, 9083, 269, 7742, 2412, 2008, 347, 5379, 269, 4375, 4846, 547, 7273, 10227, 9083, 269, 26604, 4510, 2008, 347, 5379, 269, 275, 4846, 547, 7273, 10227, 9083, 269, 29848, 5392, 2008, 347, 5379, 269, 6078, 4846, 547, 7273, 10227, 9083, 269, 22332, 7918, 2008, 347, 5379, 269, 5655, 4846, 547, 7273, 10227, 9083, 269, 24783, 6812, 2008, 347, 5379, 269, 6246, 4846, 547, 7273, 10227, 9083, 269, 11740, 8287, 2008, 347, 5379, 269, 4510, 4846, 547, 7273, 10227, 9083, 269, 4343, 273, 6858, 2008, 347, 5379, 269, 3393, 4846, 547, 7273, 10227, 9083, 269, 29024, 7761, 2008, 347, 5379, 269, 5379, 4846, 547, 7273, 10227, 9083, 269, 275, 2918, 6507, 2008, 347, 5379, 269, 5325, 4846, 547, 7273, 10227, 9083, 269, 275, 4366, 10037, 2008, 347, 5379, 269, 4366, 4846, 547, 7273, 10227, 9083, 269, 30420, 10436, 2008, 347, 5379, 269, 5392, 4846, 547, 7273, 10227, 9083, 269, 5392, 273, 11011, 2008, 347, 5379, 269, 276, 4846, 547, 7273, 10227, 9083, 269, 276, 1691, 4817, 2008, 347, 5379, 269, 7906, 4846, 547, 7273, 10227, 9083, 269, 276, 4391, 876, 2008, 347, 5379, 269, 7367, 4846, 547, 7273, 10227, 9083, 269, 4649, 280, 6860, 2008, 347, 5379, 269, 7871, 4846, 547, 7273, 10227, 9083, 269, 6812, 272, 6021, 2008, 347, 5379, 269, 7918, 4846, 547, 7273, 10227, 9083, 269, 2568, 274, 1691, 2008, 347, 5379, 269, 4649, 4846, 547, 7273, 10227, 9083, 269, 27698, 1240, 2008, 347, 5379, 269, 6321, 4846, 547, 7273, 10227, 9083, 269, 5038, 278, 2537, 2008, 347, 5379, 269, 6872, 4846, 547, 7273, 10227, 9083, 269, 5780, 280, 2764, 2008, 347, 5379, 269, 6812, 4846, 547, 7273, 10227, 9083, 269, 7597, 272, 3953, 2008, 347, 5379, 269, 6795, 4846, 547, 7273, 10227, 9083, 269, 278, 1724, 4391, 2008, 347, 5379, 269, 277, 4846, 547, 7273, 10227, 9083, 269, 278, 3374, 6078, 2008, 347, 5379, 269, 8618, 4846, 547, 7273, 10227, 9083, 269, 4037, 278, 5379, 2008, 347, 5379, 269, 7830, 4846, 547, 7273, 10227, 9083, 269, 6507, 280, 7906, 2008, 347, 5379, 269, 8287, 4846, 547, 7273, 10227, 9083, 269, 3199, 272, 4649, 2008, 347, 5379, 269, 5038, 4846, 547, 7273, 10227, 9083, 269, 279, 2537, 2568, 2008, 347, 5379, 269, 4792, 4846, 547, 7273, 10227, 9083, 269, 279, 3393, 4792, 2008, 347, 5379, 269, 5780, 4846, 547, 7273, 10227, 9083, 269, 279, 6858, 7597, 2008, 347, 5379, 269, 6858, 4846, 547, 7273, 10227, 9083, 269, 6434, 280, 10619, 2008, 347, 5379, 269, 6924, 4846, 547, 7273, 10227, 9083, 269, 26605, 4281, 2008, 347, 5379, 269, 7597, 4846, 547, 7273, 10227, 9083, 269, 280, 3451, 10695, 2008, 347, 5379, 269, 278, 4846, 547, 7273, 10227, 9083, 269, 280, 4649, 6434, 2008, 347, 5379, 269, 10170, 4846, 547, 7273, 10227, 9083, 269, 280, 6507, 10844, 2008, 347, 5379, 269, 7761, 4846, 547, 7273, 10227, 9083, 269, 15886, 9032, 2008, 347, 5379, 269, 10463, 4846, 547, 7273, 10227, 9818, 269, 28873, 6349, 2008, 347, 5379, 269, 10619, 4846, 547, 7273, 10227, 9818, 269, 271, 4510, 6187, 2008, 347, 5379, 269, 4037, 4846, 547, 7273, 10227, 9818, 269, 271, 5780, 1556, 2008, 347, 5379, 269, 10602, 4846, 547, 7273, 10227, 9818, 269, 5400, 279, 1428, 2008, 347, 5379, 269, 6507, 4846, 547, 7273, 10227, 9818, 269, 8099, 736, 2008, 347, 5379, 269, 4281, 4846, 547, 7273, 10227, 9818, 269, 15171, 1839, 2008, 347, 5379, 269, 8064, 4846, 547, 7273, 10227, 9818, 269, 15150, 3066, 2008, 347, 5379, 269, 279, 4846, 547, 7273, 10227, 9818, 269, 12293, 4097, 2008, 347, 5379, 269, 10037, 4846, 547, 7273, 10227, 9818, 269, 2735, 4343, 2008, 347, 5379, 269, 11025, 4846, 547, 7273, 10227, 9818, 269, 13136, 6246, 2008, 347, 5379, 269, 10695, 4846, 547, 7273, 10227, 9818, 269, 26237, 4366, 2008, 347, 5379, 269, 10019, 4846, 547, 7273, 10227, 9818, 269, 25784, 7367, 2008, 347, 5379, 269, 5952, 4846, 547, 7273, 10227, 9818, 269, 30525, 6872, 2008, 347, 5379, 269, 10436, 4846, 547, 7273, 10227, 9818, 269, 28143, 7830, 2008, 347, 5379, 269, 9262, 4846, 547, 7273, 10227, 9818, 269, 20065, 5780, 2008, 347, 5379, 269, 6434, 4846, 547, 7273, 10227, 9818, 269, 31134, 10170, 2008, 347, 5379, 269, 8660, 4846, 547, 7273, 10227, 9818, 269, 4391, 275, 4037, 2008, 347, 5379, 269, 280, 4846, 547, 7273, 10227, 9818, 269, 31256, 3199, 2008, 347, 5379, 269, 11011, 4846, 547, 7273, 10227, 9818, 269, 275, 1240, 5952, 2008, 347, 5379, 269, 10844, 4846, 547, 7273, 10227, 9818, 269, 24496, 8660, 2008, 347, 5379, 269, 11152, 4846, 547, 7273, 10227, 9818, 269, 5379, 273, 11463, 2008, 347, 5379, 269, 11463, 4846, 547, 7273, 10227, 9818, 269, 4366, 275, 4200, 2008, 347, 5379, 269, 4817, 4846, 547, 7273, 10227, 9818, 269, 2004, 278, 6734, 2008, 347, 5379, 269, 9834, 4846, 547, 7273, 10227, 9818, 269, 276, 3066, 5400, 2008, 347, 5379, 269, 9032, 4846, 547, 7273, 10227, 9818, 269, 4649, 272, 1321, 2008, 347, 5379, 269, 7176, 4846, 547, 7273, 10227, 9818, 269, 6872, 274, 1704, 2008, 347, 5379, 269, 4200, 4846, 547, 7273, 10227, 9818, 269, 276, 4817, 2420, 2008, 347, 5325, 4846, 547, 7273, 10227, 9818, 269, 277, 1704, 2918, 347, 0, 15371, 596, 2461, 11842, 1018, 968, 8234, 543, 9716, 892, 568, 610, 952, 596, 2461, 5461, 538, 2870, 1454, 8902, 6208, 267, 3136, 2542, 547, 1451, 1018, 1072, 543, 9716, 2965, 568, 269, 2657, 568, 3989, 676, 519, 2622, 25682, 7577, 607, 968, 320, 1533, 540, 2698, 2168, 267, 2790, 267, 607, 1134, 607, 1514, 9716, 267, 543, 849, 519, 3668, 540, 4576, 610, 1102, 3305, 640, 1848, 1717, 1018, 568, 621, 286, 634, 31248, 25682, 7577, 779, 7664, 540, 1072, 543, 9716, 3884, 1406, 519, 1152, 835, 596, 11129, 547, 581, 31235, 609, 269, 3502, 539, 2630, 616, 513, 1906, 824, 12496, 269, 1403, 596, 17329, 713, 2328, 5346, 543, 596, 1131, 899, 547, 1205, 1454, 811, 1344, 7282, 4179, 2517, 14976, 332, 5174, 8421, 2593, 270, 24963, 3247, 676, 938, 3896, 563, 11039, 1145, 568, 513, 1533, 540, 2698, 2168, 267, 2790, 543, 849, 1514, 1134, 5630, 454, 6097, 547, 519, 31248, 2657, 9257, 267, 1072, 543, 9716, 568, 519, 1533, 540, 2347, 2168, 267, 5626, 267, 543, 1514, 1072, 5272, 1480, 1373, 568, 11727, 547, 12492, 519, 6574, 15164, 9716, 10421, 269, 26472, 713, 1533, 540, 1072, 5673, 593, 513, 1297, 540, 2609, 267, 1896, 540, 799, 616, 1367, 3681, 607, 1134, 607, 1866, 616, 7293, 269, 12989, 616, 930, 540, 891, 4632, 269, 5903, 539, 1934, 616, 513, 1906, 540, 519, 1034, 2629, 563, 31714, 609, 1114, 23043, 607, 1134, 607, 10770, 2175, 1522, 4585, 9716, 538, 513, 1585, 1259, 269, 4658, 609, 13560, 4524, 267, 585, 3236, 267, 1522, 14574, 1072, 8335, 982, 18825, 1510, 269, 589, 8004, 609, 13560, 6794, 1522, 14574, 1072, 543, 9716, 607, 8013, 10977, 267, 2348, 513, 851, 6066, 960, 693, 513, 10977, 7535, 267, 543, 2921, 851, 538, 1514, 10618, 269, 2201, 519, 824, 1688, 267, 513, 1164, 1153, 19829, 609, 17299, 1966, 1522, 2070, 1072, 607, 513, 1267, 540, 2921, 3075, 563, 763, 31248, 25682, 9257, 11225, 9716, 607, 513, 968, 25899, 602, 3091, 513, 1268, 609, 519, 2081, 547, 2661, 513, 2347, 267, 14785, 1272, 1848, 19452, 267, 3744, 538, 634, 31102, 4760, 723, 2965, 14648, 1072, 607, 519, 4390, 547, 6023, 2242, 538, 519, 1604, 543, 849, 6216, 20642, 4220, 269, 634, 602, 4214, 568, 5393, 15458, 267, 543, 849, 621, 1281, 711, 2709, 519, 4357, 519, 4960, 547, 14574, 741, 1378, 9716, 269, 898, 568, 606, 1898, 1523, 538, 519, 2413, 1158, 267, 2705, 835, 602, 7125, 585, 811, 1344, 563, 2005, 568, 513, 1533, 540, 2347, 2168, 267, 2790, 607, 1134, 607, 1514, 1072, 563, 2026, 519, 2622, 2657, 7577, 6941, 267, 1072, 543, 9716, 568, 513, 1533, 540, 2347, 2168, 267, 5626, 267, 607, 1134, 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 ]

[ 0, 4504, 22004, 538, 476, 1960, 280, 267, 519, 476, 273, 269, 275, 717, 13703, 15261, 19712, 2443, 610, 20959, 3044, 476, 26764, 269, 1556, 321, 2443, 814, 1044, 519, 979, 3562, 585, 1753, 946, 267, 609, 1256, 2413, 12242, 543, 17784, 1532, 663, 31425, 1869, 8876, 621, 4464, 547, 713, 1554, 630, 704, 8416, 2622, 1040, 634, 476, 273, 269, 275, 717, 13703, 3044, 814, 2938, 513, 1297, 540, 26941, 936, 519, 1296, 282, 5555, 10678, 909, 607, 476, 26764, 269, 1556, 326, 267, 610, 15261, 19712, 476, 274, 267, 799, 9450, 547, 519, 4908, 2039, 540, 476, 273, 269, 275, 717, 13703, 267, 3850, 621, 547, 3914, 3152, 11250, 543, 27985, 2759, 1524, 593, 13779, 1063, 9055, 563, 2026, 519, 2012, 5267, 267, 621, 3096, 9055, 538, 519, 476, 273, 269, 275, 717, 13703, 4908, 267, 4481, 538, 519, 476, 13301, 272, 547, 476, 27149, 276, 631, 13703, 2039, 269, 13575, 6340, 267, 476, 273, 269, 275, 717, 13703, 15261, 19712, 814, 1569, 547, 476, 1691, 9055, 609, 20718, 4908, 9832, 267, 543, 25568, 856, 693, 476, 7918, 19251, 629, 1080, 829, 2034, 11250, 2443, 1472, 476, 277, 269, 4037, 19251, 17879, 5052, 829, 2034, 269, 2755, 519, 3432, 1522, 711, 581, 4376, 547, 2328, 1753, 827, 267, 621, 779, 6157, 7850, 585, 1034, 2596, 1753, 946, 2665, 269, 634, 2039, 540, 476, 273, 269, 275, 717, 13703, 15261, 19712, 666, 9765, 476, 5611, 3952, 267, 2687, 547, 21942, 8668, 27872, 267, 1818, 621, 513, 1390, 4781, 585, 1970, 1532, 663, 12296, 543, 1279, 24365, 3156, 269, 0, 1492, 7044, 5795, 803, 930, 2093, 827, 519, 3390, 540, 2916, 1689, 454, 5416, 264, 1018, 568, 1634, 827, 513, 1888, 912, 1492, 2360, 540, 2916, 1689, 593, 8103, 543, 519, 4541, 693, 1804, 267, 1164, 2837, 267, 10980, 543, 17160, 547, 2012, 855, 513, 1906, 563, 6357, 264, 1018, 568, 711, 2943, 1634, 827, 513, 1888, 888, 14808, 1005, 856, 4264, 2081, 540, 7231, 609, 2916, 1689, 538, 513, 1158, 602, 568, 7683, 3395, 799, 1797, 649, 666, 711, 2731, 3247, 3257, 1978, 2238, 799, 1860, 519, 4541, 2943, 789, 1764, 621, 7494, 563, 8196, 891, 7044, 547, 2689, 1018, 568, 4867, 3769, 538, 707, 23140, 20081, 309, 4953, 1641, 21195, 593, 2916, 1689, 538, 7013, 4000, 267, 1018, 568, 7508, 267, 543, 875, 596, 666, 2689, 707, 6437, 547, 2087, 621, 454, 11004, 568, 513, 3395, 991, 547, 13416, 6940, 15961, 538, 938, 6437, 547, 13599, 6267, 827, 2916, 1689, 543, 824, 2825, 2152, 269, 0, 1103, 19220, 540, 7521, 609, 14621, 547, 519, 27299, 540, 7881, 268, 616, 789, 2067, 610, 616, 789, 4121, 267, 616, 789, 2696, 3766, 1508, 267, 610, 616, 789, 812, 18478, 10953, 1107, 519, 1259, 602, 7881, 616, 11720, 6804, 547, 1004, 13978, 796, 4186, 6479, 269, 5994, 513, 4641, 1141, 649, 1810, 1406, 723, 5683, 5615, 9013, 721, 269, 769, 971, 513, 1158, 267, 1018, 568, 547, 2061, 721, 689, 11318, 835, 1776, 267, 2469, 607, 2484, 607, 547, 7903, 30768, 1055, 519, 3665, 6316, 540, 9552, 286, 9320, 602, 568, 606, 30891, 748, 3510, 267, 2705, 5683, 21437, 723, 7152, 547, 581, 2629, 547, 30768, 267, 543, 519, 8840, 540, 519, 1767, 4020, 814, 4749, 4547, 827, 3978, 2164, 563, 3086, 519, 1641, 540, 799, 5837, 3009, 11129, 547, 581, 9787, 539, 1590, 581, 9619, 269, 594, 1131, 711, 2015, 3909, 267, 5683, 9479, 585, 519, 3551, 7778, 602, 789, 616, 1585, 543, 616, 4749, 3622, 19034, 547, 519, 13794, 540, 519, 10764, 789, 22132, 689, 269, 1280, 713, 2601, 267, 585, 713, 1957, 267, 594, 786, 2709, 606, 14021, 4879, 540, 519, 3351, 9107, 1259, 547, 4308, 609, 7881, 269, 594, 786, 7620, 2285, 606, 2272, 540, 519, 3069, 779, 23381, 267, 607, 3262, 856, 676, 22819, 3240, 28564, 5069, 267, 519, 4651, 540, 7780, 4106, 31791, 267, 543, 3627, 26573, 7085, 269, 594, 786, 267, 693, 602, 1448, 267, 5659, 6069, 2152, 609, 7780, 4106, 31791, 269, 2311, 2063, 267, 594, 1131, 2708, 519, 1455, 2631, 540, 519, 3069, 267, 6236, 519, 5383, 543, 11393, 621, 814, 563, 4263, 519, 4295, 540, 519, 6240, 540, 10626, 568, 519, 3044, 602, 649, 11129, 547, 2824, 547, 2347, 2238, 267, 799, 6556, 519, 1034, 8788, 282, 971, 2238, 616, 9228, 607, 1318, 269, 6684, 267, 2238, 602, 3132, 1945, 14669, 547, 8788, 11129, 547, 581, 6854, 2476, 689, 282, 891, 2238, 616, 9228, 607, 4636, 269, 6270, 513, 1259, 547, 4308, 609, 7881, 568, 3964, 538, 519, 7872, 602, 1928, 543, 12257, 8263, 513, 1713, 2816, 538, 519, 2729, 540, 812, 267, 7487, 607, 649, 1413, 585, 12257, 543, 2226, 513, 7580, 3845, 689, 519, 1928, 269, 634, 23988, 540, 10626, 6212, 593, 2870, 1390, 8788, 585, 519, 2146, 621, 10039, 547, 269, 7780, 4106, 31791, 11338, 2712, 2471, 721, 547, 1589, 827, 519, 2179, 540, 8788, 267, 2943, 538, 1840, 547, 519, 2298, 269, 1284, 1058, 3406, 856, 811, 1713, 2157, 540, 8788, 563, 2026, 2484, 607, 519, 10421, 540, 3351, 9107, 3741, 267, 7085, 733, 1742, 602, 519, 4441, 540, 519, 5683, 1062, 666, 581, 24451, 3274, 899, 1346, 540, 1114, 1949, 630, 335, 269, 476, 5379, 280, 1040, 7085, 20475, 602, 3330, 543, 9018, 2994, 540, 11268, 666, 581, 8246, 547, 10018, 519, 24150, 540, 519, 3652, 269, 18378, 17997, 906, 4383, 519, 1427, 9084, 11880, 1243, 676, 519, 25903, 540, 606, 1367, 950, 646, 24172, 862, 1080, 513, 4636, 338, 2534, 267, 8236, 1928, 593, 2272, 540, 7780, 4106, 31791, 267, 1247, 5007, 17997, 906, 616, 1346, 11880, 1243, 676, 519, 2486, 267, 610, 513, 2362, 1379, 563, 1103, 4334, 547, 519, 1034, 5683, 1062, 267, 7780, 4106, 31791, 3085, 1406, 11307, 2954, 1331, 513, 5601, 610, 18678, 1373, 538, 922, 5943, 269, 14171, 883, 2272, 602, 621, 729, 2813, 538, 519, 476, 1240, 628, 2540, 267, 950, 3661, 538, 267, 543, 10847, 547, 519, 7225, 324, 334, 268, 22146, 2696, 729, 24215, 18476, 538, 2342, 267, 519, 1259, 602, 519, 23988, 540, 10626, 4769, 1406, 2099, 2696, 267, 1500, 606, 3390, 269, 7780, 4106, 31791, 729, 4749, 30199, 585, 1373, 606, 2048, 7752, 626, 685, 11460, 540, 7881, 269, 16480, 267, 607, 7085, 4547, 909, 267, 2016, 519, 24235, 602, 2696, 2115, 1018, 568, 1655, 585, 30768, 267, 543, 602, 2696, 2115, 721, 547, 581, 19914, 267, 7780, 4106, 31791, 568, 2731, 519, 5601, 31586, 11460, 540, 7881, 972, 568, 269, 634, 4661, 540, 2436, 7780, 4106, 31791, 568, 9758, 610, 711, 5673, 593, 519, 2856, 540, 2696, 267, 607, 2484, 607, 1018, 646, 14659, 827, 1434, 267, 2943, 649, 1810, 1406, 723, 513, 23319, 827, 519, 2856, 540, 2696, 267, 865, 7780, 4106, 31791, 666, 1406, 581, 5963, 3954, 6407, 1373, 796, 326, 617, 569, 269, 14755, 267, 7487, 1919, 689, 519, 4168, 5133, 267, 7780, 4106, 31791, 568, 538, 519, 1463, 1620, 540, 519, 1292, 6240, 540, 4906, 2441, 282, 1521, 1866, 519, 6073, 538, 799, 596, 1522, 1616, 547, 581, 18808, 609, 269, 9747, 267, 607, 621, 941, 267, 7780, 4106, 31791, 6589, 585, 2696, 267, 519, 7225, 324, 334, 268, 22146, 2696, 267, 693, 2547, 563, 7712, 594, 723, 2016, 513, 2110, 5618, 540, 519, 1883, 4555, 540, 7780, 4106, 31791, 267, 594, 786, 2232, 513, 1906, 30852, 540, 621, 269, 2368, 949, 25077, 602, 519, 6240, 779, 3007, 593, 519, 2146, 10522, 602, 621, 3085, 1406, 2232, 519, 1268, 779, 7772, 269, 769, 1022, 2013, 267, 22819, 3240, 2934, 602, 519, 2146, 568, 16922, 540, 1004, 269, 4475, 267, 519, 1062, 9607, 519, 1268, 779, 9547, 267, 607, 1279, 607, 1018, 6799, 547, 1864, 17017, 8788, 1281, 11338, 585, 1034, 540, 519, 2146, 563, 5194, 9880, 7125, 3007, 547, 602, 972, 568, 1100, 1483, 1259, 547, 2268, 12257, 543, 1928, 269, 4475, 649, 666, 1406, 917, 2436, 606, 2962, 6770, 3132, 811, 12257, 982, 1928, 269, 661, 12171, 2961, 761, 339, 23380, 919, 713, 676, 15738, 856, 602, 1247, 649, 786, 1034, 2693, 581, 8572, 547, 2268, 8788, 6310, 267, 649, 666, 15069, 7747, 267, 9488, 6514, 267, 799, 3527, 3142, 811, 8788, 269, 901, 11064, 540, 7780, 4106, 31791, 568, 17396, 267, 543, 649, 1810, 1406, 723, 547, 22945, 1928, 543, 8788, 267, 2094, 8380, 513, 4137, 540, 2179, 593, 873, 3085, 1406, 1118, 513, 3017, 538, 7780, 4106, 31791, 269, 634, 1152, 3364, 602, 568, 538, 1022, 1259, 1271, 568, 602, 8788, 29387, 338, 519, 1928, 563, 1103, 7681, 609, 519, 2250, 2079, 267, 649, 666, 1294, 607, 547, 875, 649, 1131, 8275, 799, 3527, 1131, 5838, 519, 1655, 10703, 22133, 8788, 282, 1310, 782, 267, 649, 666, 1406, 1294, 519, 1267, 540, 3527, 1354, 649, 3479, 621, 269, 1677, 713, 2243, 267, 2961, 761, 339, 15565, 602, 649, 666, 8415, 4555, 540, 1018, 25389, 721, 547, 3442, 1018, 1522, 14183, 1866, 269, 1261, 3947, 513, 2013, 540, 713, 282, 593, 519, 1055, 4960, 602, 649, 3398, 982, 3694, 568, 811, 2838, 982, 25888, 267, 649, 1131, 581, 20582, 952, 649, 1683, 519, 5182, 1324, 609, 3694, 1354, 519, 25888, 269, 594, 1589, 713, 7954, 568, 3622, 4998, 267, 855, 1018, 952, 2576, 941, 547, 723, 513, 2864, 25302, 2070, 540, 8788, 267, 1058, 789, 1287, 946, 741, 2093, 540, 8788, 547, 9794, 1018, 1131, 3142, 8788, 547, 1866, 286, 16792, 3283, 4743, 540, 8788, 547, 1866, 949, 711, 3622, 960, 543, 949, 11338, 581, 5906, 267, 593, 2272, 540, 2618, 13771, 338, 267, 585, 3236, 269, 0, 763, 4890, 4214, 540, 513, 855, 7815, 538, 519, 8675, 568, 606, 967, 4593, 3234, 3729, 610, 22266, 15294, 19907, 267, 2576, 945, 5260, 720, 569, 15294, 619, 1510, 2601, 269, 1809, 519, 2165, 855, 7815, 3112, 581, 2322, 2390, 16077, 607, 3274, 607, 602, 269, 16077, 568, 513, 1950, 543, 30137, 1915, 543, 1082, 1919, 646, 1281, 610, 3081, 538, 519, 1404, 979, 1996, 519, 2165, 855, 7815, 269, 1280, 1383, 267, 519, 4484, 646, 15920, 1010, 7385, 269, 898, 2982, 1010, 2648, 543, 2463, 585, 15248, 16077, 269, 769, 1840, 267, 693, 519, 1376, 540, 519, 1404, 267, 30338, 4016, 547, 1864, 607, 32201, 16077, 269, 30338, 543, 1010, 15626, 2367, 723, 1164, 8369, 540, 1864, 563, 4913, 267, 972, 568, 849, 513, 2603, 540, 2963, 602, 3081, 16077, 568, 513, 4411, 15918, 797, 539, 631, 6324, 19907, 269, 9956, 814, 16077, 6146, 15248, 5839, 706, 742, 543, 1200, 1126, 585, 1100, 2601, 267, 950, 2021, 543, 1453, 616, 2219, 519, 1034, 17608, 540, 782, 1004, 269, 2311, 519, 1376, 540, 519, 1404, 267, 519, 26734, 267, 945, 616, 18931, 607, 9409, 543, 16750, 267, 2446, 16077, 338, 2012, 563, 1607, 13497, 6402, 16077, 547, 9409, 543, 568, 513, 3926, 1031, 676, 9956, 547, 1397, 513, 2631, 540, 2062, 321, 5317, 4478, 16077, 269, 898, 6645, 519, 5304, 547, 4585, 856, 585, 1864, 269, 634, 2165, 1031, 676, 519, 26734, 267, 4023, 568, 28067, 543, 28067, 568, 4023, 267, 666, 581, 1031, 1934, 269, 16077, 568, 2219, 540, 607, 15626, 267, 855, 15626, 1004, 666, 2490, 9409, 269, 898, 3762, 519, 5304, 11821, 689, 519, 1360, 1101, 10207, 269, 589, 5626, 11144, 666, 581, 2938, 267, 689, 12703, 16077, 630, 8002, 476, 272, 267, 6429, 476, 272, 267, 1899, 476, 1626, 264, 547, 4666, 855, 7815, 630, 8002, 476, 276, 267, 6429, 476, 280, 267, 1899, 476, 3607, 1916, 21547, 10106, 568, 519, 1292, 1915, 540, 519, 1404, 865, 513, 2603, 568, 1634, 827, 1864, 267, 1519, 267, 513, 2603, 540, 519, 942, 267, 1018, 646, 568, 3206, 610, 4743, 269, 4634, 1498, 646, 568, 519, 5636, 664, 538, 519, 1404, 972, 616, 1919, 519, 5304, 1294, 610, 5469, 799, 949, 1689, 741, 6644, 540, 1864, 269, 1280, 1383, 267, 538, 957, 476, 272, 267, 6429, 476, 278, 649, 666, 1294, 602, 16077, 568, 18516, 827, 2469, 998, 609, 519, 12638, 540, 519, 4622, 269, 1261, 15055, 519, 4622, 543, 568, 15069, 4466, 621, 2182, 547, 979, 1996, 30338, 267, 945, 3972, 338, 16077, 563, 8002, 476, 272, 267, 6429, 476, 278, 267, 1899, 476, 1724, 454, 5575, 267, 607, 594, 993, 1010, 737, 1231, 2006, 543, 1010, 1641, 2676, 22935, 3973, 267, 607, 1010, 3984, 2676, 8005, 1058, 1996, 1010, 15294, 19907, 9505, 519, 7450, 2676, 8253, 7703, 519, 17180, 8885, 2336, 21547, 10106, 1869, 814, 513, 25903, 693, 713, 3942, 543, 568, 1373, 7142 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1692, 666, 513, 26733, 781, 4542, 581, 5462, 689, 922, 2527, 630, 332, 270, 345, 264, 1871, 888, 268, 25169, 574, 16679, 454, 15916, 267, 594, 1616, 547, 4137, 856, 519, 28811, 1587, 540, 513, 26733, 630, 332, 9884, 12727, 3436, 12573, 271, 26895, 594, 1705, 606, 31446, 5336, 306, 2079, 543, 3893, 513, 1906, 28811, 2472, 630, 2908, 2527, 1040, 1215, 666, 649, 1205, 519, 4542, 610, 5311, 540, 602, 28811, 26733, 689, 922, 2527, 630, 332, 270, 345, 21663, 7490, 2671, 1022, 2228, 2645, 610, 2326, 602, 786, 581, 5363, 563, 7617, 3301, 666, 581, 1031, 547, 4729, 7193, 288, 267, 623, 11862, 5937, 288, 543, 20525, 11862, 5937, 288, 1239, 888, 268, 19869, 592, 1234, 327, 2006, 454, 8923, 2303, 803, 3617, 3301, 610, 824, 2707, 563, 1432, 1281, 621, 1611, 547, 979, 2047, 689, 834, 8974, 2689, 257, 547, 834, 1372, 17800, 538, 1184, 257, 888, 268, 15887, 328, 26396, 454, 1432, 1281, 621, 1611, 547, 979, 2047, 689, 834, 8974, 2689, 257, 547, 834, 1372, 17800, 538, 1184, 257, 888, 8138, 4784, 547, 4760, 955, 263, 12898, 476, 274, 1554, 264, 734, 15010, 5976, 15503, 955, 263, 338, 877, 1554, 264, 734, 285, 8974, 2689, 955, 24179, 12898, 476, 1626, 2395, 264, 734, 285, 1372, 17800, 538, 1184, 563, 1432, 1281, 519, 4567, 689, 2838, 8039, 6192, 1394, 547, 9375, 8655, 6920, 888, 268, 15011, 323, 1744, 926, 336, 454, 296, 723, 11643, 1250, 1957, 547, 835, 540, 519, 5614, 518, 4760, 269, 1280, 519, 1101, 3018, 540, 19169, 267, 519, 4567, 729, 834, 5976, 9375, 257, 543, 1287, 621, 4957, 547, 896, 2689, 585, 835, 3018, 267, 1287, 2689, 619, 607, 11220, 585, 519, 1985, 1079, 2395, 1287, 1586, 4957, 547, 896, 2689, 585, 476, 1015, 2395, 1287, 6368, 547, 834, 7528, 1600, 8039, 6192, 2668, 634, 4567, 8039, 6192, 729, 585, 835, 3018, 543, 1287, 621, 4957, 547, 609, 9375, 1586, 585, 2063, 476, 1015, 2395, 269, 3767, 1250, 2243, 568, 952, 621, 568, 18349, 1287, 519, 9375, 1131, 5612, 6494, 519, 18349, 4484, 269, 4208, 519, 9375, 568, 2921, 942, 547, 6430, 286, 1772, 621, 513, 1434, 1129, 610, 513, 3983, 835, 286, 888, 3674, 621, 3020, 602, 631, 7894, 296, 13746, 616, 2392, 2218, 888, 268, 12390, 534, 670, 28045, 19869, 7232, 331, 327, 2378, 2465, 345, 454, 296, 9364, 899, 547, 1451, 811, 827, 519, 631, 7894, 296, 4760, 563, 3674, 24455, 917, 519, 16595, 13629, 2480, 22455, 270, 590, 5746, 12039, 532, 4750, 781, 7790, 888, 268, 8496, 6409, 27958, 454, 296, 1616, 547, 917, 519, 2480, 22455, 610, 590, 5746, 13746, 585, 5122, 543, 11418, 7177, 267, 799, 1683, 513, 3728, 2689, 1184, 1510, 513, 13629, 13927, 269, 7790, 888, 1692, 1454, 942, 1281, 621, 1491, 585, 3803, 1944, 513, 3375, 827, 606, 2376, 1310, 519, 2689, 568, 6192, 888, 268, 772, 3405, 631, 269, 3525, 756, 2692, 454, 12179, 2376, 11643, 547, 1022, 4760, 4422, 896, 2689, 952, 1336, 5078, 543, 1369, 519, 9165, 540, 602, 4760, 269, 1717, 267, 1310, 2689, 619, 6192, 741, 10467, 267, 519, 4589, 798, 4431, 547, 14511, 6659, 676, 971, 2689, 619, 267, 621, 1223, 581, 2899, 610, 513, 3126, 540, 2689, 518, 27236, 6114, 269, 7053, 267, 519, 9375, 538, 12751, 3803, 3278, 519, 3375, 269, 769, 29021, 267, 3226, 267, 1354, 713, 4523, 267, 519, 4567, 540, 519, 2376, 2982, 17423, 538, 6713, 269, 3733, 2243, 568, 875, 1279, 1281, 621, 1491, 585, 713, 4567, 547, 1689, 896, 606, 4998, 3510, 286, 1656, 1403, 621, 3576, 811, 982, 519, 4397, 942, 267, 1018, 1058, 519, 7222, 2278, 4433, 264, 15475, 547, 798, 888, 296, 4126, 547, 1205, 3280, 543, 20310, 6114, 689, 900, 5799, 3173, 543, 15769, 2066, 519, 3760, 563, 300, 12089, 30654, 610, 5564, 850, 767, 9781, 888, 268, 6931, 933, 328, 1261, 454, 17098, 3025, 267, 594, 6415, 2348, 930, 2055, 827, 7446, 519, 1318, 1449, 585, 1250, 4603, 543, 594, 4126, 594, 666, 1265, 948, 1934, 2336, 2080, 616, 519, 5468, 540, 519, 4603, 912, 272, 269, 5171, 616, 14477, 8655, 547, 2901, 519, 8097, 610, 1852, 1895, 563, 273, 269, 1287, 1312, 2516, 10929, 1079, 7886, 540, 2126, 630, 32355, 519, 8097, 2126, 610, 519, 1852, 2126, 1916, 274, 269, 4934, 2492, 4632, 630, 718, 6024, 264, 616, 6027, 7466, 281, 1310, 8400, 476, 272, 543, 1310, 8400, 476, 273, 563, 7069, 1382, 2055, 912, 305, 304, 272, 281, 2436, 519, 4093, 616, 1732, 585, 519, 8097, 1895, 982, 519, 1852, 2516, 286, 630, 810, 519, 1292, 1198, 540, 2516, 994, 305, 304, 273, 281, 2436, 972, 616, 2242, 936, 519, 1079, 7886, 267, 543, 2436, 519, 1689, 568, 1114, 585, 1312, 2516, 286, 630, 810, 519, 1292, 1198, 540, 942, 543, 519, 5872, 1063, 942, 543, 1895, 994, 296, 1101, 1904, 539, 585, 513, 6404, 30654, 2094, 713, 568, 513, 2241, 1063, 2914, 603, 514, 1641, 1374, 269, 1809, 594, 849, 1224, 602, 1617, 850, 767, 8276, 12089, 9781, 568, 3622, 9053, 269, 594, 1810, 1405, 1294, 1018, 666, 581, 513, 4351, 1198, 538, 713, 1374, 607, 1134, 630, 921, 848, 2953, 803, 952, 972, 568, 513, 4351, 1198, 26695, 17798, 267, 799, 835, 1058, 594, 3442, 585, 1250, 960, 888, 12552, 513, 2603, 256, 2336, 2171, 1353, 519, 5872, 540, 513, 1970, 2173, 817, 4541, 609, 513, 1486, 26979, 8767, 12210, 609, 513, 10853, 2126, 540, 519, 1648, 3666, 676, 3257, 5982, 31622, 16967, 3428, 673, 13502, 269, 1284, 1413, 693, 934, 4958, 542, 543, 9194, 3928, 543, 5635, 873, 547, 568, 18540, 2090, 269, 1284, 1031, 513, 1614, 8820, 4528, 540, 519, 8652, 323, 3428, 673, 1505, 681, 7495, 292, 302, 267, 1927, 609, 10237, 894, 17464, 2483, 763, 2175, 585, 519, 6090, 529, 543, 1646, 540, 10995, 1272, 593, 10785, 616, 8947, 1312, 538, 2474, 540, 17651, 543, 693, 519, 28772, 665, 12950, 1377, 269, 634, 5506, 540, 31373, 14111, 1272, 568, 6594, 267, 543, 519, 1966, 540, 9591, 2792, 609, 31373, 14111, 4987, 568, 5941, 609, 1880, 4704, 547, 519, 20676, 3591, 1982, 269, 0, 763, 13169, 568, 513, 1106, 540, 13989, 1141, 1004, 2628, 2724, 547, 723, 513, 4960, 693, 10888, 513, 16101, 269, 634, 16101, 568, 3335, 513, 1804, 2040, 540, 2724, 269, 20769, 23065, 616, 1419, 2196, 676, 1533, 6608, 267, 4352, 789, 949, 849, 581, 2196, 27352, 269, 2368, 1004, 723, 513, 2178, 19450, 7287, 547, 3094, 519, 13169, 269, 1358, 3494, 602, 952, 789, 4444, 2614, 17914, 267, 789, 786, 5555, 5734, 519, 13544, 13607, 269, 1358, 949, 1256, 979, 865, 2484, 607, 547, 723, 10839, 10595, 638, 1774, 1949, 602, 616, 4625, 4652, 15903, 676, 8579, 7744, 827, 799, 8637, 267, 2053, 540, 1554, 267, 543, 2010, 540, 17914, 789, 1058, 6718, 563, 763, 12918, 540, 10888, 519, 13169, 616, 7478, 558, 1227, 1970, 269, 1703, 616, 1454, 1732, 1919, 596, 666, 798, 609, 707, 2724, 269, 20769, 6670, 5716, 616, 1419, 561, 3293, 883, 9140, 17914, 676, 6811, 602, 789, 786, 10826, 741, 1072, 2042, 610, 1265, 3020, 2648, 269, 1452, 6811, 616, 6013, 267, 543, 519, 6426, 29808, 1996, 524, 913, 1154, 630, 31319, 27036, 770, 525, 476, 276, 281, 1015, 1916, 1103, 1840, 547, 519, 6654, 4220, 540, 10888, 267, 972, 616, 1082, 6456, 3790, 2404, 609, 13169, 4730, 269, 634, 1942, 540, 12180, 543, 5009, 519, 13169, 1590, 581, 20952, 539, 689, 519, 7535, 267, 543, 513, 6871, 540, 519, 16101, 2508, 568, 7363, 1305, 11735, 607, 19614, 543, 12434, 585, 519, 13384, 528, 610, 1533, 269, 901, 3762, 519, 23602, 609, 1152, 513, 1507, 6824, 540, 519, 2698, 16101, 2179, 563, 5278, 2829, 1305, 909, 513, 3454, 7721, 3319, 5748, 547, 4309, 519, 23131, 689, 519, 13169, 543, 1902, 873, 538, 1857, 1568, 3785, 269, 4033, 2829, 949, 946, 519, 7482, 547, 5818, 1514, 10304, 3292, 610, 2569, 4747, 9204, 269, 20769, 6670, 12434, 723, 1044, 513, 3407, 2707, 540, 8907, 585, 1082, 2829, 267, 3226, 1282, 519, 2022, 28131, 2782, 4083, 1974, 950, 519, 4346, 729, 3395, 6385, 543, 1533, 2229, 19614, 941, 2810, 563, 2026, 513, 1267, 267, 1082, 1004, 3136, 547, 6718, 13169, 17914, 269, 2368, 1404, 873, 593, 513, 2834, 4493, 267, 1247, 1866, 616, 1152, 17573, 18046, 269, 17859, 540, 741, 4908, 267, 782, 5716, 3565, 547, 519, 2450, 540, 519, 16101, 7535, 269, 634, 1966, 568, 602, 1082, 540, 519, 5716, 616, 7700, 17542, 538, 2062, 19079, 9806, 789, 1223, 723, 2322, 4724, 16468, 610, 2852, 24875, 563, 5194, 6161, 568, 602, 519, 2450, 540, 519, 26065, 814, 1044, 2810, 693, 606, 24034, 2557, 269, 901, 814, 1044, 3361, 676, 513, 3395, 1297, 540, 1004, 9140, 811, 17914, 267, 543, 513, 1804, 6871, 540, 1346, 17914, 616, 1373, 4421, 547, 1004, 945, 723, 2760, 4465, 1354, 269, 901, 568, 513, 1713, 2883, 1981, 585, 519, 13169, 2872, 563, 1103, 930, 2829, 267, 519, 16771, 568, 2016, 519, 3903, 540, 8391, 513, 26686, 2040, 610, 3045, 8462, 8569, 269, 634, 3045, 8462, 4781, 2488, 513, 3677, 2698, 2628, 719, 936, 942, 269, 6904, 4781, 568, 1655, 585, 596, 5673, 593, 707, 2123, 18083, 543, 519, 3652, 540, 707, 13169, 269, 901, 2376, 6941, 875, 519, 13169, 1568, 538, 513, 2241, 267, 13801, 1259, 602, 666, 581, 1031, 676, 3214, 1299, 12322, 267, 610, 676, 3237, 1299, 3610, 607, 851, 540, 513, 2883, 7924, 6437, 269, 4746, 2139, 607, 513, 7792, 7300, 269, 0, 2467, 814, 1044, 513, 2208, 540, 15961, 8716, 1762, 6690, 547, 2226, 741, 1719, 538, 13241, 4610, 269, 769, 17469, 543, 856, 6361, 17469, 3292, 616, 11543, 8560, 267, 543, 538, 1931, 585, 602, 547, 3136, 267, 1346, 538, 519, 13241, 4610, 723, 547, 1489, 1312, 2199, 543, 3084, 3646, 547, 6536, 6690, 269, 901, 568, 513, 1289, 602, 519, 3162, 3979, 8479, 9142, 540, 3163, 630, 6347, 312, 3008, 264, 4628, 7028, 563, 21413, 1620, 519, 3255, 602, 616, 2139, 547, 1053, 540, 2979, 543, 2257, 267, 1762, 2021, 949, 1589, 789, 723, 1500, 513, 12161, 950, 6849, 519, 2591, 540, 11264, 513, 13241, 2101, 269, 1703, 568, 849, 513, 8273, 991, 547, 1118, 519, 3163, 5396, 4143, 547, 1762, 1053, 543, 3015, 998, 4205, 593, 513, 2123, 1377, 563, 2005, 568, 585, 713, 2601, 602, 3220, 2961, 1228, 324, 19159, 267, 513, 28154, 26831, 538, 519, 5113, 1299, 2657, 3194, 5149, 693, 519, 3162, 3979, 6481, 3194, 7027, 2855, 5190, 585, 12207, 547, 2743, 609, 1762, 1053, 543, 3717, 540, 741, 2123, 2833, 267, 2648, 585, 3163, 543, 875, 741, 3163, 568, 4543, 2486, 269, 3220, 19159, 568, 606, 1325, 4379, 639, 540, 14408, 312, 3008, 563, 763, 5767, 3643, 22555, 676, 3220, 19159, 729, 547, 3525, 21105, 18520, 3427, 9457, 344, 3163, 11833, 1759, 538, 12821, 7304, 1678, 340, 11445, 593, 476, 4029, 5239, 267, 476, 1001, 277, 269, 901, 3643, 4718, 15516, 2098, 514, 327, 548, 631, 333, 322, 4209, 689, 2160, 540, 29312, 7921, 779, 4972, 540, 13898, 543, 15516, 4676, 559, 933, 918, 2967, 689, 519, 2160, 540, 31864, 31662, 8681, 3427, 540, 10960, 267, 7233, 543, 7025, 7070, 4497, 609, 519, 1053, 269, 1358, 1142, 5143, 519, 1650, 540, 741, 3460, 2094, 1153, 543, 875, 789, 3357, 547, 581, 3173, 538, 3078, 543, 4277, 6009, 269, 3220, 19159, 267, 19443, 676, 519, 1079, 10529, 267, 1287, 5645, 856, 513, 2489, 2257, 7688, 540, 476, 736, 2055, 543, 1142, 15226, 3246, 513, 2953, 2626, 4607, 2901, 513, 561, 1415, 731, 610, 513, 21641, 630, 718, 13381, 689, 3220, 19159, 779, 19014, 14386, 634, 2243, 602, 3893, 519, 13074, 23249, 1354, 606, 2626, 729, 267, 968, 1692, 1082, 7633, 1281, 513, 16356, 723, 538, 922, 1560, 9495, 1107, 519, 2626, 267, 968, 271, 892, 2336, 2026, 2021, 1831, 811, 11342, 538, 13241, 11678, 267, 811, 543, 811, 1762, 6690, 786, 2253, 547, 21028, 519, 3606, 4876, 3255, 1930, 547, 873, 269, 2060, 811, 2021, 538, 519, 2361, 267, 621, 786, 1831, 811, 10423, 547, 1762, 6690, 1018, 789, 666, 2709, 519, 1158, 269, 0, 5591, 267, 513, 2582, 476, 1911, 2914, 3430, 3859, 8470, 786, 711, 3132, 476, 1911, 26334, 540, 1379, 829, 5662, 269, 634, 2179, 540, 5201, 6383, 676, 513, 3859, 8470, 5673, 593, 1896, 2188, 267, 971, 607, 519, 2179, 540, 7943, 2139, 267, 519, 5086, 540, 519, 8470, 267, 519, 1826, 540, 20387, 1062, 1031, 267, 543, 519, 2179 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 3735, 476, 866, 628, 2540, 676, 8841, 268, 28846, 10067, 650, 517, 267, 519, 1225, 1807, 540, 7574, 7405, 693, 29761, 20271, 2218, 269, 10067, 650, 517, 5258, 7405, 883, 2185, 3376, 6688, 2687, 547, 519, 2470, 540, 519, 3280, 26148, 1570, 281, 606, 2011, 6241, 282, 5569, 282, 9245, 282, 543, 1560, 540, 519, 6293, 269, 3245, 713, 4493, 267, 24125, 321, 739, 601, 543, 590, 778, 338, 9450, 10067, 650, 517, 781, 1062, 547, 1118, 621, 2009, 547, 19665, 1022, 6293, 9992, 454, 1607, 2985, 568, 8850, 6383, 543, 949, 2270, 1344, 602, 568, 711, 2953, 267, 2347, 267, 909, 3562, 15082, 267, 610, 4143, 547, 707, 3406, 13214, 269, 634, 1482, 10039, 547, 1169, 824, 2985, 593, 713, 3896, 269, 7490, 1118, 2386, 547, 13182, 519, 1344, 609, 21768, 14566, 781, 4013, 2959, 269, 0, 297, 657, 2946, 12253, 2107, 974, 8615, 15223, 8491, 571, 630, 6767, 16659, 333, 329, 601, 522, 389, 378, 16659, 974, 389, 352, 320, 282, 4535, 476, 1556, 5437, 476, 3707, 276, 264, 568, 513, 12832, 31804, 10224, 22267, 7674, 607, 5518, 540, 12832, 31804, 7699, 2094, 476, 1220, 278, 269, 2776, 16227, 646, 729, 6205, 540, 12832, 31804, 7699, 689, 476, 3192, 280, 547, 476, 1960, 271, 267, 1101, 607, 4717, 13541, 630, 3192, 280, 1700, 2735, 276, 264, 540, 519, 808, 2863, 320, 540, 2817, 25608, 267, 543, 1287, 607, 5518, 540, 12832, 31804, 7699, 630, 2735, 276, 1700, 1960, 271, 1040, 4438, 1010, 1101, 2165, 267, 646, 8045, 4507, 547, 3035, 2451, 626, 15024, 2066, 12832, 31804, 7699, 269, 769, 2663, 1296, 267, 2107, 974, 8615, 781, 2451, 26310, 9097, 6214, 22799, 3648, 267, 3056, 1864, 547, 11654, 605, 1532, 5350, 4507, 543, 1256, 26510, 549, 3832, 618, 609, 519, 7826, 5783, 269, 1306, 513, 851, 540, 713, 267, 1010, 2229, 7550, 2178, 4550, 268, 629, 10407, 4507, 267, 543, 1010, 20116, 3576, 593, 513, 1007, 267, 9244, 3909, 4557, 528, 267, 5103, 19497, 2348, 2024, 539, 19473, 1143, 269, 7775, 974, 8615, 3357, 547, 23146, 609, 519, 24057, 992, 543, 24815, 540, 2475, 1532, 17977, 9598, 1807, 1323, 770, 553, 1470, 24622, 334, 5633, 13891, 599, 548, 538, 476, 3192, 280, 1282, 519, 12832, 31804, 10224, 7169, 269, 1306, 513, 6205, 538, 519, 9995, 514, 16695, 2817, 8644, 3130, 13571, 630, 293, 1370, 324, 9995, 514, 16695, 632, 8644, 518, 24265, 715, 659, 1308, 267, 674, 306, 454, 1607, 2985, 568, 8850, 6383, 543, 949, 2270, 1344, 602, 568, 711, 2953, 267, 2347, 267, 909, 3562, 15082, 267, 610, 4143, 547, 707, 3406, 13214, 269, 634, 1482, 10039, 547, 1169, 824, 2985, 593, 713, 3896, 269, 7490, 1118, 2386, 547, 13182, 519, 1344, 609, 21768, 14566, 781, 4013, 2959, 269, 0, 22139, 1744, 648, 853, 1963, 262, 25462, 4245, 786, 1450, 596, 547, 6125, 609, 707, 7504, 1247, 5355, 922, 1072, 269, 4841, 1451, 827, 25462, 1247, 3246, 606, 11791, 1565, 1995, 602, 2640, 1312, 31115, 543, 7504, 7567, 563, 24375, 940, 609, 606, 4367, 547, 25462, 3937, 543, 2553, 585, 7738, 267, 17678, 543, 2036, 532, 513, 7504, 781, 4552, 267, 1053, 786, 3533, 1174, 875, 789, 666, 3927, 8415, 26814, 543, 2036, 338, 547, 3986, 1312, 922, 5920, 543, 1745, 563, 5629, 1053, 723, 4121, 519, 17950, 267, 789, 666, 2322, 741, 9241, 9715, 1983, 547, 519, 1449, 676, 25462, 513, 7504, 269, 7201, 5583, 689, 4810, 16929, 267, 1053, 786, 1451, 875, 547, 1683, 9488, 25462, 689, 2212, 547, 2766, 282, 9878, 2027, 3007, 547, 1966, 2127, 610, 2127, 540, 8082, 563, 1607, 3992, 3947, 26348, 519, 4316, 547, 1106, 6793, 7554, 609, 741, 9640, 269, 4841, 786, 723, 519, 4960, 547, 19081, 741, 7504, 267, 1451, 811, 827, 922, 2623, 543, 1560, 1893, 543, 2744, 4030, 689, 25462, 621, 269, 0, 1103, 2221, 779, 1158, 267, 3782, 568, 1898, 267, 855, 10333, 1419, 31963, 593, 519, 4527, 540, 1072, 6142, 269, 2755, 930, 949, 3442, 547, 979, 1510, 621, 267, 519, 4220, 2404, 609, 15877, 1072, 6142, 666, 581, 1713, 543, 2484, 23568, 269, 901, 2376, 12538, 883, 519, 1761, 4539, 540, 1373, 796, 1231, 3293, 267, 3695, 519, 2883, 267, 2168, 267, 543, 3929, 6286, 585, 2043, 543, 2486, 607, 513, 2898, 563, 763, 1034, 7525, 543, 15889, 1981, 540, 711, 2348, 1072, 6142, 568, 519, 2883, 11411, 540, 6397, 2564, 9276, 269, 4634, 9583, 5634, 1072, 2152, 666, 1267, 538, 646, 11998, 12014, 267, 543, 2101, 10108, 610, 10913, 666, 1291, 547, 2883, 10969, 566, 563, 268, 4400, 26959, 540, 6481, 5516, 281, 1133, 1231, 3293, 2043, 3068, 519, 2407, 20015, 660, 540, 3782, 3790, 267, 799, 666, 581, 1896, 2053, 2362, 982, 519, 3928, 7858, 7007, 676, 6142, 3549, 269, 901, 666, 1331, 3388, 689, 4387, 11564, 543, 1095, 18587, 547, 23361, 543, 6413, 13978, 563, 268, 6481, 32124, 281, 9453, 6142, 547, 3262, 856, 519, 1942, 540, 1416, 267, 2564, 12014, 666, 3533, 18645, 267, 3056, 547, 1713, 7963, 269, 901, 666, 723, 513, 2531, 3626, 1198, 267, 18363, 5491, 8464, 267, 8027, 6617, 267, 543, 2949, 2883, 1134, 5630, 563, 268, 7813, 4533, 1097, 281, 769, 3665, 2665, 267, 11566, 2564, 7963, 666, 3196, 2043, 883, 28153, 269, 901, 666, 723, 1279, 18835, 4539, 267, 1818, 621, 2352, 547, 3489, 12029, 267, 10519, 606, 19887, 267, 610, 1256, 1205, 1978, 6009, 563, 19741, 519, 2883, 8833, 267, 519, 3668, 540, 1072, 6142, 666, 723, 513, 17672, 1764, 593, 606, 1367, 779, 2168, 1072, 563, 268, 5548, 26359, 610, 5983, 19079, 5516, 281, 674, 3166, 609, 1164, 3790, 267, 796, 1231, 3293, 2043, 949, 8488, 610, 585, 2998, 5275, 2556, 2564, 1416, 269, 901, 666, 1291, 547, 29083, 2175, 267, 14406, 3255, 585, 2038, 5868, 543, 2126, 267, 543, 5732, 28824, 8374, 563, 268, 17290, 7457, 547, 16473, 633, 5516, 281, 8617, 2638, 13522, 267, 32182, 267, 543, 6375, 3074, 616, 2629, 585, 4509, 1434, 1072, 543, 7303, 4576, 269, 1717, 267, 891, 2533, 616, 1419, 711, 4988, 610, 1942, 3491, 3031, 1438, 585, 796, 1231, 3293, 2043, 267, 3056, 547, 10616, 538, 15324, 1416, 563, 268, 18127, 8376, 5004, 281, 19737, 5312, 2175, 899, 3987, 610, 2295, 2068, 3340, 5571, 2564, 1416, 543, 6646, 269, 9453, 6142, 267, 891, 3790, 666, 1831, 11566, 267, 3056, 547, 16283, 2359, 543, 1761, 1072, 8374, 563, 10387, 10899, 543, 4317, 24093, 912, 763, 3586, 5855, 827, 2564, 9276, 543, 519, 1761, 4539, 540, 4576, 666, 1491, 513, 1713, 17167, 593, 2790, 543, 3929, 1134, 5630, 563, 268, 13262, 543, 17520, 281, 634, 2883, 11411, 540, 1761, 2564, 3790, 666, 581, 513, 3586, 2707, 540, 2566, 543, 4160, 269, 901, 666, 723, 513, 2942, 1764, 593, 3347, 267, 960, 2773, 267, 543, 2949, 2298, 540, 1272, 563, 268, 4317, 1772, 15684, 281, 21824, 540, 519, 2883, 11411, 540, 5275, 2564, 1416, 949, 1291, 2043, 547, 20586, 2933, 689, 1514, 2238, 543, 1489, 5121, 269, 901, 666, 22652, 4606, 540, 20420, 543, 4965, 563, 268, 8177, 593, 19198, 281, 634, 2883, 543, 3929, 11411, 540, 606, 796, 1231, 3293, 1920, 4759, 666, 1860, 519, 3003, 1920, 1770, 269, 901, 666, 1711, 2566, 267, 8082, 267, 543, 32659, 1369, 3347, 563, 763, 3668, 540, 1072, 6142, 814, 6626, 6286, 585, 2486, 607, 513, 2898, 563, 268, 16842, 645, 6324, 523, 593, 16195, 3590, 281, 1133, 1231, 3293, 2043, 616, 811, 2693, 547, 946, 14427, 6595, 4055, 2533, 585, 1875, 268, 4026, 550, 1416, 267, 11093, 513, 8833, 593, 519, 3782, 1062, 543, 6117, 909, 3790, 585, 3025, 563, 268, 28206, 1078, 5398, 2657, 281, 1133, 2006, 3042, 5312, 3676, 543, 17061, 540, 11763, 3676, 666, 10460, 513, 1857, 1072, 3463, 267, 3226, 950, 2043, 2057, 5275, 1416, 1813, 547, 519, 1942, 563, 268, 9483, 8177, 281, 6481, 7963, 543, 2883, 27465, 666, 17225, 2804, 7607, 543, 2208, 269, 3958, 267, 2799, 3782, 3790, 585, 519, 796, 1231, 3293, 666, 5397, 909, 6142, 14167, 338, 585, 3025, 563, 21446, 2510, 543, 10298, 912, 4407, 519, 4220, 540, 711, 2348, 1072, 6142, 616, 1713, 267, 972, 616, 3681, 2139, 547, 948, 2043, 2744, 1569, 547, 10097, 3782, 563, 268, 6554, 15789, 281, 3509, 2477, 2709, 2229, 3292, 602, 1683, 1072, 6142, 547, 1970, 13867, 2043, 543, 3885, 269, 6201, 1331, 27083, 538, 519, 2136, 2276, 543, 519, 2817, 2657, 6796, 538, 519, 2136, 8003, 563, 268, 4427, 338, 573, 1242, 12697, 281, 32285, 5516, 2920, 2344, 17541, 538, 519, 2136, 2276, 2709, 13564, 1242, 1072, 6142, 4566, 1759, 593, 4747, 269, 1452, 4566, 666, 3648, 2569, 519, 1942, 540, 3795, 585, 14718, 2043, 563, 268, 14146, 518, 4149, 335, 29107, 15928, 281, 3509, 12820, 2709, 1072, 6142, 2640, 547, 741, 5520, 269, 901, 666, 581, 513, 1434, 4781, 585, 2043, 945, 616, 6964, 563, 268, 7991, 2657, 15544, 281, 7991, 1072, 7740, 1683, 10097, 3119, 1416, 2533, 547, 796, 1231, 3293, 543, 896, 1231, 3293, 2043, 563, 763, 3375, 547, 979, 1510, 1072, 6142, 568, 513, 1950, 835, 609, 5732, 1713, 4539, 269, 2755, 930, 2043, 949, 581, 2111, 547, 4383, 1510, 3795, 267, 519, 2883, 267, 2168, 267, 543, 3929, 4220, 616, 26837, 4192, 269, 1280, 1034, 1004, 267, 13844, 1072, 6142, 568, 513, 8797, 5092, 538, 741, 1072, 543, 1134, 5630, 267, 543, 3695, 2139, 3681, 568, 2629, 585, 4180, 1569, 547, 2298, 3782, 563, 3528, 1620, 519, 4220, 2404, 609, 1373, 796, 1231, 3293, 543, 3695, 2139, 3435, 267, 2043, 543, 14519, 666, 960, 2509, 513, 8902, 543, 811, 12581, 2486, 1141, 3025, 814, 1569, 547, 519, 3782, 789, 991, 563, 1607, 2376, 814, 3177, 513, 2489, 7650, 540, 519, 4220, 0, 9596, 1018, 20336, 2752, 290, 568, 267, 1946, 621, 779, 1271, 267, 543, 875, 547, 2936, 621, 454, 19699, 2752, 290, 267, 799, 6763, 585, 23792, 2861, 24606, 24956, 1709, 267, 27561, 1299, 1230, 18504, 267, 568, 606, 4757, 15418, 1062, 2966, 547, 2149, 707, 3919, 781, 4757, 6389, 689, 1373, 23699, 585, 26122, 1085, 4461, 543, 824, 6880, 6937, 269, 898, 2488, 513, 7271, 585, 596, 547, 27774, 519, 1576, 540, 2962, 950, 15737, 689, 707, 6389, 3111, 17452, 563, 1692, 6496, 20336, 2752, 290, 4518, 888, 19699, 2752, 290, 13976, 593, 1079, 4540, 6127, 267, 9501, 293, 630, 306, 2658, 8889, 17563, 264, 543, 667, 298, 8379, 630, 291, 558, 664, 11390, 903, 5772, 1881, 25357, 1070, 799, 616, 1031, 547, 12314, 513, 4062, 540, 4757, 609, 513, 6389, 563, 268, 9501, 293, 2636, 6494, 619, 547, 5581, 799, 7379, 9607, 666, 6494, 13875, 585, 513, 1880, 6389, 563, 268, 667, 298, 8379, 3947, 606, 4757, 513, 3059, 15040, 267, 799, 568, 3773, 547, 519, 4757, 781, 20927, 543, 666, 581, 20240, 676, 519, 18579, 563, 2252, 519, 9501, 293, 610, 667, 298, 8379, 2638, 10596, 543, 519, 6389, 538, 519, 20927, 689, 519, 2232, 20383, 609, 519, 6389, 538, 519, 9501, 293, 610, 667, 298, 8379, 851, 540, 519, 5048, 267, 519, 20336, 2752, 290, 2638, 786, 1780, 269, 1717, 267, 621, 568, 1898, 547, 4063, 602, 8429, 891, 17452, 11974, 1281, 711, 10018, 13128, 6765, 540, 519, 4757, 269, 4033, 2188, 267, 971, 607, 18579, 7375, 267, 28417, 12086, 267, 543, 1543, 2079, 267, 949, 1869, 3310, 519, 3803, 6765, 3375, 563, 3963, 568, 20336, 2752, 290, 12830, 888, 19699, 2752, 290, 2337, 2149, 4757, 6494, 619, 543, 23700, 689, 28417, 267, 26122, 267, 543, 24401, 1993, 532, 6285, 269, 1635, 7598, 20336, 2752, 290, 267, 596, 666, 912, 268, 27986, 707, 6216, 267, 7157, 8045, 20336, 2752, 290, 3609, 11151, 18977, 7606, 610, 2533, 689, 11488, 13875, 689, 707, 6389, 454, 268, 2037, 1963, 17265, 4757, 6808, 2366, 689, 596, 543, 593, 707, 15773, 689, 707, 6389, 547, 2226, 707, 10639, 454, 268, 9214, 1162, 4757, 5838, 1464, 281, 20336, 2752, 290, 2337, 8391, 13763, 3313, 952, 513, 5048, 20383, 609, 1018, 519, 17513, 6487, 827, 519, 30699, 563, 8855, 267, 4259, 909, 513, 20336, 2752, 290, 2594, 585, 707, 6389, 568, 2629, 547, 5355, 707, 4757, 3354, 543, 5838, 1464, 269, 1717, 267, 621, 666, 581, 1950, 547, 19022, 543, 8415, 547, 922, 2407, 1761, 269, 1403, 596, 10093, 1405, 2944, 865, 2907, 267, 649, 4363, 602, 596, 5965, 585, 2104, 11488, 4170, 543, 1413, 883, 1655, 2853, 585, 7598, 713, 2810, 3044, 563, 1692, 798, 594, 1039, 513, 20336, 2752, 290, 16680, 888, 9616, 281, 1403, 707, 3919, 814, 606, 4835 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10136, 547, 9718, 519, 9456, 4871, 540, 519, 5213, 563, 763, 4999, 540, 519, 14710, 540, 30110, 1731, 990, 779, 7382, 24767, 543, 519, 6679, 540, 6754, 639, 779, 18086, 18617, 853, 822, 6390, 547, 1931, 3474, 572, 326, 990, 779, 476, 2412, 628, 8136, 543, 1079, 540, 7033, 657, 1156, 14150, 779, 20679, 267, 519, 476, 2641, 560, 630, 300, 1690, 269, 2637, 269, 5981, 328, 594, 569, 747, 8355, 559, 990, 264, 543, 519, 476, 2764, 628, 630, 299, 339, 269, 2637, 269, 667, 2466, 686, 328, 25909, 990, 747, 681, 328, 629, 903, 515, 341, 264, 547, 18956, 689, 741, 829, 559, 748, 7158, 547, 513, 1007, 17872, 1899, 2059, 519, 744, 569, 332, 543, 744, 12921, 565, 23117, 269, 22073, 693, 21554, 593, 5147, 476, 273, 267, 519, 8168, 20679, 13986, 547, 7485, 1394, 896, 513, 30339, 540, 4436, 25044, 3595, 269, 634, 24163, 5794, 17620, 267, 1631, 26017, 676, 20727, 269, 2637, 269, 9410, 674, 773, 15927, 267, 3773, 547, 519, 26093, 18956, 607, 621, 2269, 325, 539, 543, 10514, 539, 519, 6739, 9587, 563, 763, 16586, 6854, 909, 741, 13287, 269, 2311, 717, 832, 515, 1013, 1195, 324, 267, 519, 24162, 1546, 28852, 1633, 9676, 519, 8498, 1310, 513, 4339, 602, 2451, 476, 7906, 8168, 13688, 10032, 269, 2201, 670, 23152, 333, 548, 514, 779, 1318, 1166, 1678, 267, 519, 476, 2190, 628, 7754, 10045, 849, 6854, 909, 519, 2604, 269, 898, 8604, 602, 519, 1101, 5123, 540, 8865, 9791, 1131, 581, 513, 1967, 563, 1805, 822, 6390, 779, 4126, 540, 9591, 922, 1007, 17872, 1899, 729, 695, 13593, 607, 4436, 10136, 18084, 519, 744, 12921, 565, 5211, 269, 898, 729, 1631, 10423, 602, 519, 14063, 8168, 6662, 1058, 581, 547, 1205, 607, 1082, 10136, 607, 2009, 2066, 519, 5213, 5211, 563, 4407, 1919, 8604, 547, 581, 2469, 1134, 585, 519, 16586, 538, 13153, 1284, 747, 338, 685, 7013, 5823, 267, 32379, 28325, 779, 476, 1724, 628, 8136, 729, 8380, 909, 513, 27162, 615, 4339, 5087, 540, 966, 528, 821, 30795, 269, 30110, 1731, 990, 1631, 1185, 1010, 22071, 3330, 519, 2749, 267, 543, 646, 729, 5462, 547, 3180, 621, 269, 1677, 24772, 32379, 28325, 779, 23640, 267, 646, 1185, 29962, 590, 1046, 529, 590, 690, 2674, 990, 747, 6742, 328, 4592, 1014, 779, 476, 22430, 628, 681, 604, 548, 10406, 267, 519, 476, 272, 560, 2871, 1841, 681, 604, 548, 10406, 267, 1079, 7382, 32531, 3547, 267, 543, 29962, 25909, 12658, 528, 990, 747, 700, 2317, 341, 779, 476, 279, 628, 595, 10052, 787, 17620, 630, 2641, 560, 543, 476, 12208, 628, 595, 10052, 787, 6555, 2888, 264, 1847, 4464, 547, 12927, 1864, 563, 1805, 16433, 729, 849, 5462, 547, 3180, 966, 528, 821, 30795, 269, 2060, 1010, 20679, 5045, 540, 519, 2749, 1835, 22824, 267, 519, 2749, 779, 7841, 13398, 543, 519, 16749, 3515, 7532, 540, 519, 2749, 4881, 547, 519, 22703, 2968, 5051, 1271, 269, 1403, 513, 1007, 1899, 1223, 581, 4646, 3297, 519, 5213, 610, 519, 966, 528, 821, 30795, 23117, 267, 1346, 13475, 1131, 581, 4105, 538, 3001, 7727, 543, 10136, 547, 13155, 2127, 538, 519, 5045, 563, 4002, 5147, 476, 274, 267, 519, 3510, 5045, 540, 966, 528, 821, 30795, 4797, 547, 14016, 622, 585, 519, 7737, 328, 1115, 269, 634, 476, 2412, 628, 8136, 729, 1631, 538, 2698, 771, 6783, 269, 670, 1054, 10288, 918, 11391, 325, 547, 5305, 20727, 269, 2637, 269, 590, 580, 325, 5090, 7009, 878, 328, 779, 476, 1626, 628, 16359, 1242, 10406, 689, 1010, 24767, 15395, 543, 6494, 621, 17040, 4724, 853, 776, 744, 12921, 565, 267, 1141, 621, 5532, 909, 609, 519, 4434, 2609, 540, 519, 476, 277, 628, 8136, 269, 4014, 519, 476, 2412, 628, 8136, 729, 1631, 1958, 597, 743, 539, 267, 972, 941, 1869, 10616, 538, 519, 4436, 3515, 1813, 547, 519, 3443, 10045, 15523, 685, 9525, 538, 519, 8165, 1472, 966, 528, 821, 30795, 267, 543, 1082, 4414, 8136, 7980, 941, 1869, 2111, 547, 3136, 741, 18956, 547, 519, 5213, 563, 763, 476, 2764, 628, 543, 476, 2641, 560, 14022, 625, 941, 849, 556, 9934, 896, 5916, 4436, 24915, 543, 26462, 6285, 269, 8734, 344, 744, 12921, 565, 8593, 593, 519, 10543, 540, 5147, 476, 274, 267, 543, 606, 3801, 547, 1106, 513, 1007, 17872, 1899, 729, 1152, 13148, 3811, 269, 4438, 519, 2250, 1906, 2395, 267, 519, 476, 2641, 560, 543, 476, 2412, 628, 14022, 625, 1185, 4503, 811, 982, 3368, 741, 8165, 4222, 267, 543, 519, 476, 2764, 628, 729, 711, 538, 1454, 1732, 3337, 563, 4002, 519, 4786, 267, 621, 6743, 899, 519, 28592, 941, 6849, 513, 16854, 9568, 269, 2060, 1079, 20679, 3927, 10032, 543, 1776, 18923, 16304, 593, 267, 606, 10373, 7934, 729, 6679, 1063, 519, 645, 686, 13089, 543, 25763, 674, 1258, 1206, 269, 1306, 513, 16185, 23237, 10288, 1079, 15395, 20679, 547, 1847, 4464, 269, 634, 476, 276, 628, 15944, 630, 299, 339, 269, 2637, 269, 23849, 559, 4512, 25909, 990, 747, 918, 15120, 6339, 810, 341, 264, 543, 519, 476, 278, 628, 630, 300, 1690, 269, 2637, 269, 32157, 594, 752, 1961, 341, 747, 30709, 335, 752, 14024, 1070, 1142, 609, 3670, 29461, 15523, 267, 941, 2366, 547, 519, 4395, 547, 2061, 6754, 639, 689, 29227, 519, 7934, 563, 13010, 267, 18293, 10288, 700, 339, 269, 2637, 269, 631, 6545, 574, 16653, 990, 747, 16653, 328, 4157, 779, 476, 274, 6113, 15944, 8136, 630, 338, 1460, 29461, 15523, 264, 547, 1491, 909, 7158, 2059, 519, 5213, 5211, 5087, 540, 966, 528, 821, 30795, 543, 20727, 269, 2637, 269, 12658, 528, 631, 16554, 841, 990, 747, 918, 9618, 527, 517, 990, 779, 476, 277, 628, 15944, 8136, 630, 572, 1597, 29461, 15523, 264, 547, 5757, 7158, 5045, 540, 519, 2749, 563, 28830, 941, 1869, 2469, 1134, 585, 6754, 639, 5045, 540, 966, 528, 821, 30795, 267, 855, 519, 4559, 14027, 4724, 966, 528, 821, 30795, 3323, 547, 5469, 513, 2490, 538, 10546, 12485, 269, 3345, 540, 918, 14993, 344, 3570, 12443, 3570, 267, 827, 476, 3445, 12919, 22236, 540, 519, 2749, 267, 519, 476, 272, 560, 32691, 31118, 540, 519, 24162, 1546, 28852, 1633, 1305, 856, 547, 1491, 606, 6662, 1634, 607, 10830, 476, 14225, 269, 21992, 2609, 540, 519, 31458, 1336, 812, 2740, 2361, 7158, 602, 884, 14954, 856, 14686, 3595, 607, 11028, 18590, 4229, 14593, 6619, 269, 634, 16586, 941, 10169, 3144, 705, 871, 1310, 519, 2250, 1906, 2395, 540, 13287, 269, 25909, 729, 6368, 7555, 543, 8165, 563, 763, 31458, 19524, 267, 29962, 32572, 918, 2129, 2401, 267, 18611, 1010, 476, 273, 526, 15506, 30119, 543, 1287, 10288, 1010, 2367, 547, 4323, 269, 634, 23047, 1506, 1858, 538, 4395, 540, 519, 14629, 1500, 621, 5393, 2352, 585, 6186, 1819, 6472, 547, 7500, 267, 865, 621, 729, 909, 547, 519, 26462, 547, 1491, 519, 14629, 538, 513, 28882, 14213, 269, 4436, 25044, 729, 1558, 676, 8168, 25044, 607, 519, 2367, 6410, 4464, 693, 476, 279, 10681, 563, 2005, 729, 513, 26481, 4339, 269, 634, 7737, 328, 1115, 812, 2740, 9244, 25167, 536, 6064, 619, 543, 7158, 602, 1185, 547, 581, 3144, 538, 1688, 3562, 11804, 8396, 269, 4469, 600, 996, 992, 619, 941, 1572, 4464, 547, 6633, 856, 519, 28592, 267, 945, 15189, 547, 18956, 513, 1900, 269, 1306, 2367, 8929, 1142, 824, 693, 2673, 2039, 610, 11360, 539, 2476, 693, 1142, 824, 609, 31009, 543, 1303, 3402, 532, 2645, 267, 621, 8604, 602, 519, 10627, 30119, 1522, 3111, 547, 1491, 922, 6662, 563, 4415, 519, 3390, 538, 8969, 267, 476, 272, 560, 700, 339, 269, 674, 761, 345, 5576, 592, 345, 267, 513, 2754, 19524, 538, 519, 10627, 30119, 267, 3576, 6927, 883, 1010, 1378, 3946, 269, 16710, 324, 1359, 930, 14213, 15963, 267, 646, 3366, 873, 543, 1010, 2754, 998, 519, 23047, 1506, 1858, 543, 1472, 513, 6908, 269, 5900, 22326, 519, 28592, 689, 519, 6397, 4287, 267, 5576, 592, 345, 729, 538, 741, 7158, 1354, 789, 1223, 4628, 2746, 269, 2060, 519, 8168, 3595, 5258, 267, 519, 1964, 540, 519, 10627, 30119, 729, 2111, 547, 1491, 519, 14629, 1310, 513, 14427, 4339, 1282, 799, 5576, 592, 345, 729, 16094, 20754, 563, 763, 476, 2190, 628, 7754, 10045, 543, 10136, 540, 519, 824, 15523, 6849, 966, 528, 821, 30795, 941, 849, 4466, 606, 10546, 602, 15189, 547, 18956, 2394, 12219, 676, 3045, 8811, 7976, 269, 2060, 1034, 540, 519, 476, 2412, 628, 267, 476, 2641, 560, 267, 543, 476, 2764, 628, 14022, 625, 1869, 1427, 11661, 4724, 519, 5213, 15385, 267, 891, 29047, 556, 1173, 340, 731, 3527, 941, 4105, 547, 741, 6668, 269, 1306, 789, 8068, 519, 28592, 1793, 6235, 2476, 267, 621, 2968, 1256, 811, 4105, 602, 670, 1054, 779, 24915, 7903, 5045, 2059, 519, 5213, 547, 1106, 513, 1899, 3297, 873, 563, 763, 3510, 729, 7805, 538, 12670, 269, 1403, 519, 8168, 4559, 7178, 540, 519, 5213, 941, 711, 10032, 267, 519, 1101, 5123, 540, 8865, 9791, 1131, 581, 513, 5821, 269, 4014, 646, 729, 20938, 609, 519, 4434, 540, 519, 476, 277, 628, 8136, 267, 13609, 4718, 519, 8594, 540, 670, 1054, 779, 3443, 10045, 15523, 3478, 536, 690, 3022, 1524, 538, 519, 4339, 585, 519, 4485, 547, 966, 528, 821, 30795, 269, 1261, 1631, 11943, 602, 1010, 3312, 1544, 547, 1491, 966, 528, 821, 30795, 676, 513, 17500, 6186, 1819, 19876, 1522, 711, 581, 1655, 585, 519, 2949, 5106, 563, 21430, 513, 2656, 8184, 547, 13153, 645, 1442, 779, 22071, 267, 13609, 543, 1010, 2361, 22153, 531, 4371, 513, 5618, 5870, 269, 4340, 547, 14787, 6754, 5516, 961, 267, 13609, 5143, 13153, 645, 1442, 267, 968, 296, 1100, 3476, 31274, 2390, 519, 7001, 540, 519, 2749, 269, 594, 849, 1100, 3476, 2015, 621, 2556, 267, 543, 594, 4734, 621, 909, 547, 596, 547, 1847, 670, 1054, 779, 6186, 1819, 4229, 5045, 5612, 3034, 295, 527, 2401, 779, 6085, 729, 513, 7415, 835, 585, 519, 2356, 23801, 674, 6686, 327, 17243, 269, 1261, 1705, 711, 2047, 1931, 13153, 645, 1442, 547, 7340, 827, 2921, 966, 528, 821, 30795, 269, 5502, 267, 1010, 22394, 3948, 2451, 1919, 16304, 538, 519, 2011, 269, 14171, 519, 2749, 729, 9277, 547, 581, 835, 540, 1010, 2101, 6859, 267, 855, 1631, 621, 8604, 547, 581, 540, 6281, 2956, 269, 12846, 267, 519, 15896, 540, 966, 528, 821, 30795, 1131, 1863, 909, 782, 540, 670, 1054, 779, 476, 275, 628, 7754, 10045, 8136, 547, 18711, 5045, 538, 3196, 269, 634, 811, 13153, 645, 1442, 2219, 827, 1010, 3681, 267, 519, 811, 646, 5951, 1042, 563, 763, 3510, 538, 519, 966, 528, 821, 30795, 5823, 693, 519, 1439, 540, 5147, 476, 274, 8604, 547, 3870, 519, 16586, 267, 1256, 609, 519, 2810, 8168, 4187, 269, 18135, 4209, 779, 2473, 7656, 8136, 17620, 1185, 4359, 3592, 28870, 1063, 519, 744, 12921, 565, 543, 5213, 23117, 538, 519, 5087, 267, 1247, 538, 519, 4099, 267, 13153, 18999, 1069, 2335, 779, 30619, 4353, 7754, 10045, 17620, 1185, 4359, 7532, 540, 918, 770, 1941, 1195, 324, 269, 2201, 13153, 18999, 1069, 2335, 779, 1318, 1166, 1678, 267, 918, 11391, 325, 779, 2473, 299, 309, 7656, 7754, 10045, 15867, 1186, 729, 849, 28870, 1063, 519, 744, 12921, 565, 543, 519, 5213, 563, 2026, 13153, 645, 1442, 7477, 650, 730, 267, 519, 476, 275, 628, 7754, 10045, 8136, 543, 476, 273, 526, 8136, 4797, 609, 741, 3312, 9753, 593, 5147, 476, 275, 269, 634, 12625, 540, 8168, 12927, 906, 2059, 8136, 6828, 13153, 1284, 747, 338, 685, 7187, 1166, 1678, 7142, 930, 2242, 547, 519, 3312, 1544, 269, 2060, 18135, 4209, 779, 2473, 7656, 8136, 17620, 8989, 2799, 4187, 543, 2199, 4831, 3430, 2931, 267, 13153, 18999, 1069, 2335, 729, 10288, 547, 6521, 1010, 4434, 4724, 519, 22583, 547, 7794, 519, 26462, 269, 634, 6521, 2451, 918, 11391, 325, 547, 4163, 593, 519, 5397, 547, 966, 528, 821, 30795, 689, 519, 7178, 563, 22117, 2609, 540, 519, 24162, 1546, 28852, 1633, 6603, 519, 8498, 540, 8061, 1080, 320, 267, 3957, 585, 519, 5757, 621, 2893, 1985, 547, 269, 8168, 8030, 1185, 2907, 27762, 519, 8115, 602, 18084, 519, 5757, 267, 543, 519, 4434, 729, 10300, 1540, 1247, 513, 1007, 8115, 729, 26558, 1176, 9112, 269, 634, 24162, 1546, 28852, 1633, 729, 1631, 1152, 8370, 12919, 689, 519, 5213, 563, 4407, 519, 8115, 729, 1373, 9112, 267, 519, 4764, 11074, 543, 519, 3141, 3357, 856, 269, 7216, 538, 519, 12784, 267, 519, 1291, 2609 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4213, 267, 610, 1256, 2229, 9988, 269, 661, 848, 906, 666, 2291, 538, 1585, 3029, 267, 1519, 31077, 543, 2942, 8897, 906, 563, 15650, 540, 661, 848, 906, 454, 292, 848, 906, 666, 2291, 538, 1585, 3029, 267, 1519, 31077, 543, 2942, 8897, 906, 269, 10500, 3305, 894, 8897, 906, 9886, 1978, 2924, 267, 971, 607, 519, 1318, 547, 1780, 936, 519, 2244, 610, 519, 1318, 547, 946, 513, 6712, 540, 519, 2244, 585, 1808, 5301, 563, 2690, 1383, 267, 606, 31077, 8897, 618, 949, 1450, 513, 1753, 26782, 547, 946, 513, 7023, 779, 5397, 3118, 547, 1569, 741, 1378, 3959, 269, 901, 1826, 540, 8897, 618, 568, 4122, 2938, 538, 3871, 1141, 3601, 616, 2244, 6674, 539, 267, 2495, 789, 723, 1100, 1463, 1569, 547, 513, 1857, 4155, 563, 27078, 894, 8897, 906, 267, 593, 519, 824, 1688, 267, 6615, 1978, 2238, 593, 513, 3959, 267, 971, 607, 2679, 3889, 602, 29572, 513, 7023, 779, 2070, 269, 1452, 8897, 906, 616, 1419, 2322, 538, 1747, 547, 2149, 29271, 5784, 267, 3140, 21056, 267, 610, 2067, 2200, 563, 2690, 3236, 267, 513, 2942, 8897, 618, 949, 10238, 527, 513, 3959, 8227, 689, 2679, 513, 7381, 2497, 602, 7161, 519, 2070, 540, 513, 7404, 7823, 2039, 269, 901, 1826, 540, 8897, 618, 5849, 602, 519, 2067, 5898, 540, 519, 1858, 3788, 796, 984, 560, 1192, 539, 563, 1692, 547, 19372, 606, 661, 848, 618, 454, 15307, 629, 7667, 606, 8897, 618, 3335, 3340, 519, 6876, 540, 1312, 519, 1425, 1304, 543, 8789, 1609, 919, 269, 634, 1425, 1304, 10040, 568, 519, 3959, 602, 568, 21002, 2989, 676, 519, 8897, 618, 267, 1247, 519, 8789, 10040, 568, 519, 3959, 602, 2640, 689, 519, 8897, 618, 563, 1103, 930, 2665, 267, 8897, 906, 949, 849, 581, 2813, 998, 13766, 610, 998, 519, 8574, 540, 942, 267, 1634, 607, 1095, 20696, 8897, 906, 269, 3026, 947, 640, 8897, 906, 8451, 950, 513, 3959, 8227, 814, 1100, 824, 10257, 1259, 547, 1569, 741, 3959, 269, 901, 666, 2049, 950, 513, 3959, 568, 2244, 6674, 539, 610, 950, 519, 4540, 1569, 568, 17808, 563, 15430, 20696, 8897, 906, 267, 593, 519, 824, 1688, 267, 616, 2813, 950, 2576, 16175, 543, 11179, 3096, 1776, 1268, 779, 3959, 1510, 10479, 585, 513, 1978, 1974, 540, 942, 269, 901, 1974, 540, 942, 9775, 676, 16278, 855, 568, 3335, 1896, 1296, 563, 5353, 22701, 3656, 5796, 543, 10647, 9488, 1382, 568, 2629, 950, 10188, 519, 10661, 540, 606, 8897, 618, 269, 898, 568, 1271, 547, 1174, 519, 1808, 4170, 543, 6042, 538, 707, 16278, 547, 2327, 602, 519, 8897, 618, 568, 5265, 3964, 543, 16155, 17997, 762, 563, 12234, 267, 621, 568, 1898, 547, 2015, 519, 1761, 1764, 540, 606, 8897, 618, 593, 519, 1871, 543, 946, 540, 707, 3959, 269, 4197, 519, 2924, 543, 7687, 2404, 609, 606, 8897, 618, 666, 948, 596, 1118, 5483, 3664, 827, 707, 3959, 543, 1022, 1761, 2104, 7835, 563, 1103, 3932, 267, 8897, 906, 1404, 513, 1713, 1909, 538, 3959, 1876, 543, 666, 723, 513, 8101, 1764, 593, 3959, 2924, 543, 2244, 946, 269, 1635, 1620, 519, 1114, 2010, 540, 8897, 906, 543, 519, 1184, 540, 9591, 873, 267, 3959, 5411, 666, 6330, 891, 3656, 10848, 609, 6015, 563, 763, 8177, 540, 595, 8576, 1218, 593, 16296, 13574, 11429, 454, 290, 8576, 1218, 666, 723, 1713, 6286, 585, 3959, 5411, 267, 5935, 2244, 946, 543, 3959, 1871, 269, 4197, 519, 1114, 5686, 540, 524, 8576, 1218, 543, 875, 789, 616, 24451, 568, 4105, 585, 21427, 543, 1483, 10040, 9367, 563, 17843, 9877, 338, 540, 595, 8576, 1218, 454, 290, 8576, 1218, 666, 581, 19040, 883, 1079, 1292, 2010, 281, 2318, 543, 2942, 524, 8576, 1218, 269, 15474, 524, 8576, 1218, 2154, 519, 2773, 540, 513, 1808, 2962, 267, 971, 607, 4509, 1455, 2127, 1369, 513, 8027, 1646, 269, 20134, 524, 8576, 1218, 267, 593, 519, 824, 1688, 267, 6615, 1978, 2238, 610, 5615, 267, 971, 607, 10238, 1746, 519, 10661, 540, 5010, 4213, 538, 10821, 2127, 563, 5319, 1721, 1424, 595, 8576, 1218, 538, 16296, 4521, 454, 763, 11268, 540, 524, 8576, 1218, 9775, 4470, 593, 2199, 6042, 543, 519, 1893, 540, 519, 26315, 3294, 269, 5851, 14935, 12205, 267, 585, 1383, 267, 1404, 513, 2629, 1909, 538, 30176, 543, 30191, 524, 8576, 1218, 1369, 741, 2950, 269, 15329, 725, 540, 524, 8576, 1218, 666, 1267, 538, 3656, 4539, 267, 971, 607, 3614, 17313, 267, 22717, 267, 610, 1256, 519, 2530, 540, 3959, 2924, 563, 289, 895, 2456, 543, 2598, 1584, 525, 538, 16296, 4521, 454, 9377, 1456, 543, 1620, 3959, 6302, 568, 1898, 547, 2057, 7526, 543, 13882, 609, 12543, 269, 769, 24014, 610, 31713, 6302, 666, 1291, 547, 3656, 12959, 602, 666, 581, 1312, 20019, 543, 14156, 1951, 1456, 563, 23005, 1456, 16296, 21940, 2456, 454, 23005, 1456, 3959, 6302, 3340, 513, 9488, 6514, 540, 3959, 12220, 267, 3656, 11673, 267, 543, 3140, 5638, 269, 12333, 5619, 832, 543, 3656, 4966, 666, 4217, 538, 16208, 713, 1344, 543, 20547, 1022, 10701, 340, 885, 269, 1635, 7114, 543, 10747, 5730, 3959, 6302, 267, 21427, 666, 11574, 1761, 7526, 543, 2327, 741, 3959, 2924, 616, 6870, 563, 4910, 6295, 21940, 776, 2598, 1584, 525, 454, 1103, 2665, 1141, 10465, 13882, 8451, 267, 621, 568, 19624, 547, 3343, 3656, 8480, 543, 2263, 1761, 6571, 2409, 269, 2405, 2747, 267, 32404, 267, 610, 1256, 25036, 949, 581, 2556, 547, 12172, 543, 8207, 519, 15539, 269, 4197, 519, 3656, 3741, 543, 3157, 3238, 538, 20547, 10465, 7526, 666, 1291, 547, 4023, 543, 9434, 21368, 563, 3528, 26762, 519, 14960, 540, 3959, 1876, 267, 1519, 8897, 906, 267, 524, 8576, 1218, 267, 543, 6302, 267, 2043, 666, 6330, 519, 10848, 540, 3959, 9562, 609, 6015, 269, 1635, 9363, 5483, 543, 5275, 3318, 5796, 950, 2877, 267, 3959, 5411, 666, 2149, 741, 2924, 543, 2972, 741, 1483, 10040, 9541, 547, 519, 2407, 652, 269, 0, 26015, 4252, 814, 1044, 513, 2442, 7328, 585, 5756, 267, 609, 1082, 1114, 5716, 4730, 519, 3014, 538, 1114, 2081, 269, 2290, 540, 519, 1034, 18476, 3604, 1063, 5716, 568, 519, 1259, 789, 2149, 741, 9843, 689, 519, 1981, 540, 5945, 269, 2368, 5716, 786, 5957, 31238, 267, 1247, 1866, 786, 946, 824, 8825, 10591, 269, 2290, 4277, 3364, 602, 930, 5716, 798, 568, 547, 2322, 13545, 593, 741, 31238, 269, 1809, 1946, 798, 789, 798, 713, 888, 1432, 568, 13545, 888, 307, 541, 568, 513, 3109, 267, 1471, 32654, 5277, 602, 568, 6508, 689, 19386, 269, 898, 568, 1031, 538, 1082, 1114, 2081, 267, 689, 32072, 1570, 547, 4155, 4070, 269, 898, 568, 849, 1031, 538, 930, 13836, 31238, 547, 1683, 606, 3063, 4494, 540, 4027, 543, 547, 948, 2569, 1350, 732, 563, 3963, 798, 13836, 5716, 2322, 13545, 593, 741, 31238, 888, 2467, 616, 513, 1906, 4128, 1946, 13836, 5716, 2322, 13545, 593, 741, 31238, 269, 634, 1292, 2601, 568, 585, 4027, 269, 634, 13545, 2337, 547, 1039, 606, 3063, 4494, 540, 4027, 547, 519, 24743, 267, 799, 666, 948, 2061, 5945, 952, 519, 24743, 568, 5734, 676, 513, 3440, 610, 952, 519, 6345, 568, 5734, 676, 513, 10627, 563, 763, 13545, 849, 2337, 547, 2569, 1350, 732, 689, 519, 3141, 269, 634, 3109, 13545, 2337, 547, 10110, 930, 540, 519, 3141, 779, 12345, 267, 799, 666, 948, 519, 6345, 1294, 519, 3440, 1732, 950, 621, 568, 5734, 538, 741, 4287, 563, 7661, 267, 519, 13545, 2337, 547, 2569, 17570, 269, 634, 13545, 2337, 547, 10110, 930, 540, 519, 17570, 602, 666, 18645, 593, 519, 24743, 267, 799, 666, 948, 519, 6345, 3251, 6899, 1247, 4730, 563, 1692, 568, 13545, 4294, 547, 519, 24743, 888, 28274, 13545, 547, 513, 24743, 568, 513, 5266, 2653, 1184, 269, 634, 6345, 786, 1376, 676, 7738, 519, 24743, 609, 513, 12308, 543, 930, 1216, 269, 3973, 267, 789, 786, 1491, 513, 986, 326, 543, 16702, 621, 883, 513, 8708, 540, 13545, 269, 1358, 786, 1287, 6299, 519, 13545, 5196, 519, 24743, 267, 1818, 2386, 547, 3382, 519, 3003, 24743, 609, 606, 1256, 4494, 540, 13545, 563, 5629, 519, 13545, 814, 1044, 4294, 267, 519, 6345, 786, 991, 547, 1577, 621, 3819, 269, 901, 786, 2356, 1491, 1472, 476, 1789, 3764, 269, 4495, 519, 13545, 568, 3819, 267, 519, 6345, 786, 1287, 581, 2111, 547, 946, 519, 24743, 563, 3674, 13545, 2922, 547, 946, 593, 31238, 888, 307, 541, 568, 3622, 2808, 547, 581, 2922, 547, 946, 593, 31238, 269, 634, 13545, 568, 711, 2808, 547, 581, 6757, 610, 13818, 267, 543, 621, 1281, 711, 2270, 1022, 6464, 602, 1223, 581, 5739, 547, 519, 6345, 563, 4913, 267, 621, 568, 1271, 547, 4063, 602, 519, 13545, 666, 2014, 2960, 16698, 952, 621, 2501, 883, 3346, 609, 519, 2960, 269, 898, 568, 849, 1271, 547, 1118, 2386, 519, 13545, 568, 4628, 3819, 1354, 1210, 519, 24743, 267, 607, 519, 13545, 666, 2014, 16698, 952, 621, 568, 1869, 6632, 563, 1432, 616, 519, 8925, 547, 1210, 13545, 593, 513, 24743, 888, 2467, 616, 513, 1906, 8925, 547, 1210, 13545, 593, 513, 24743, 269, 2290, 4781, 568, 547, 946, 513, 24743, 561, 10719, 267, 799, 568, 513, 6094, 4494, 540, 17371, 610, 5958, 602, 568, 5116, 3330, 519, 24743, 269, 634, 561, 10719, 2337, 547, 10110, 17570, 543, 666, 849, 1683, 3063, 4027, 563, 5194, 4781, 568, 547, 946, 513, 1471, 528, 269, 589, 1471, 528, 568, 513, 2312, 5068, 13104, 602, 6227, 519, 3068, 543, 4064, 543, 2337, 547, 2569, 1350, 732, 563, 2710, 782, 13836, 5716, 946, 13545, 593, 741, 31238, 888, 5591, 267, 711, 782, 13836, 5716, 946, 13545, 593, 741, 31238, 269, 898, 568, 6140, 1031, 676, 5716, 945, 616, 3168, 585, 3063, 4027, 610, 945, 1616, 547, 2569, 1350, 732, 563, 6701, 972, 1022, 11393, 547, 1210, 13545, 593, 513, 24743, 888, 2467, 616, 513, 1906, 1761, 11393, 547, 1210, 13545, 593, 513, 24743, 269, 634, 13545, 666, 581, 2352, 547, 4894, 267, 543, 621, 666, 23209, 528, 519, 24743, 952, 621, 568, 711, 4294, 7157, 269, 898, 666, 849, 581, 2352, 547, 4019, 519, 13545, 14961, 2066, 519, 3003, 24743, 563, 8794, 13545, 593, 513, 13836, 24743, 568, 513, 1455, 2259, 585, 1082, 5716, 269, 634, 13545, 2337, 547, 1683, 3063, 4027, 267, 2569, 1350, 732, 267, 543, 10110, 17570, 269, 898, 568, 3622, 2808, 547, 581, 2922, 547, 946, 267, 4352, 621, 666, 2014, 2960, 16698, 952, 621, 2501, 883, 3346, 609, 519, 2960, 269, 2755, 972, 616, 930, 1761, 11393, 547, 1210, 13545, 593, 513, 24743, 267, 621, 568, 1869, 513, 2442, 3903, 585, 1082, 5716, 563, 27407, 267, 1946, 798, 13836, 5716, 2322, 13545, 593, 741, 31238, 286, 634, 13545, 2337, 547, 1039, 606, 3063, 4494, 540, 4027, 267, 2569, 1350, 732, 267, 543, 10110, 17570, 269, 898, 568, 3622, 2808, 547, 581, 2922, 547, 946, 267, 4352, 621, 1281, 723, 930, 1761, 11393, 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 ]

[ 1374, 454, 268, 631, 746, 2029, 454, 268, 10724, 2029, 454, 268, 3131, 8327, 531, 2029, 454, 268, 6713, 5610, 454, 268, 6713, 1852, 267, 543, 454, 268, 13870, 4058, 454, 20058, 267, 3442, 519, 1318, 1570, 267, 2226, 7109, 1734, 5078, 585, 15229, 267, 543, 1413, 547, 2569, 3774, 11098, 543, 1570, 7274, 269, 3973, 267, 1648, 666, 581, 10710, 676, 32229, 519, 22285, 543, 28728, 532, 3531, 839, 267, 13740, 543, 1256, 3905, 28359, 952, 891, 616, 1031, 269, 1411, 666, 4188, 519, 8546, 7306, 543, 2268, 519, 1648, 4616, 547, 1265, 519, 1034, 3608, 8546, 2450, 269, 8921, 267, 9023, 538, 519, 22285, 666, 581, 9168, 547, 946, 1216, 811, 3927, 269, 1323, 3608, 1374, 543, 2673, 32725, 666, 2569, 9023, 942, 267, 5969, 1648, 538, 519, 1216, 6802, 269, 10724, 2029, 568, 519, 7887, 2582, 3815, 538, 4227, 1648, 269, 28628, 543, 782, 3887, 10431, 6191, 616, 519, 1034, 1648, 3608, 267, 5702, 4553, 676, 1648, 268, 9953, 574, 2213, 17453, 6191, 269, 8617, 3289, 13866, 923, 267, 1247, 7347, 543, 5827, 6191, 267, 666, 946, 7466, 519, 5201, 540, 513, 2413, 3167, 3684, 269, 6184, 3634, 519, 12718, 8022, 10851, 267, 1210, 2407, 12718, 13471, 952, 2009, 269, 1879, 8888, 12718, 13471, 267, 2015, 519, 19993, 2837, 7939, 585, 707, 22285, 532, 1184, 269, 8121, 289, 7838, 294, 814, 2196, 1648, 6165, 4255, 540, 4628, 1202, 4327, 8957, 1875, 15564, 4327, 26561, 543, 22285, 338, 585, 1114, 2450, 6191, 269, 6052, 9806, 4096, 593, 519, 5201, 2557, 543, 3684, 2450, 267, 8795, 689, 11278, 13301, 547, 909, 547, 11278, 273, 267, 18231, 585, 606, 8121, 289, 7838, 294, 476, 279, 736, 590, 476, 6110, 271, 693, 476, 2412, 335, 1315, 737, 2662, 269, 4635, 13020, 1023, 267, 519, 1374, 543, 3903, 540, 2837, 1852, 4559, 666, 849, 1860, 2698, 1648, 6165, 269, 634, 12122, 540, 519, 3684, 585, 1114, 5301, 543, 12531, 786, 8532, 1648, 1360, 8335, 269, 898, 5673, 593, 519, 3684, 2029, 282, 17453, 267, 1425, 334, 31622, 14989, 610, 3167, 269, 4400, 31891, 11183, 3335, 3340, 513, 2603, 540, 1648, 1813, 547, 519, 3586, 14656, 30032, 915, 532, 270, 641, 2287, 267, 6466, 1970, 31891, 2694, 2356, 991, 811, 9023, 942, 267, 1282, 799, 267, 609, 513, 1425, 334, 31622, 14989, 3684, 267, 3592, 1100, 1648, 568, 10057, 630, 1492, 6802, 7329, 956, 1282, 8066, 2604, 1040, 1924, 267, 585, 11183, 267, 606, 3167, 8957, 1425, 334, 31622, 14989, 3684, 786, 11578, 1454, 2362, 1648, 22766, 267, 855, 713, 3017, 568, 4130, 585, 1970, 31891, 960, 269, 634, 3448, 1648, 2744, 829, 4783, 630, 528, 1648, 9494, 829, 851, 264, 568, 2362, 593, 3500, 268, 19464, 2694, 269, 634, 1648, 2744, 829, 1367, 851, 568, 2539, 593, 3728, 15203, 2694, 267, 855, 1082, 811, 2694, 616, 3812, 829, 5662, 27473, 267, 865, 519, 6207, 1648, 2744, 936, 942, 568, 2362, 269, 1280, 1184, 5610, 267, 3678, 908, 4238, 666, 849, 2569, 930, 1648, 1031, 269, 28290, 4679, 519, 3684, 779, 7607, 676, 2348, 5812, 4238, 593, 632, 2173, 746, 532, 610, 824, 6281, 2238, 269, 901, 5012, 547, 4389, 4783, 2053, 543, 6971, 519, 2949, 942, 2838, 585, 519, 3684, 547, 581, 1031, 267, 5969, 1648, 267, 23344, 538, 1507, 5666, 563, 18893, 3065, 1184, 5468, 616, 519, 1883, 547, 5969, 5201, 454, 7212, 621, 949, 3280, 6654, 267, 5752, 519, 19993, 5468, 593, 519, 3684, 17120, 666, 2569, 1648, 3790, 267, 3006, 1360, 3648, 269, 1452, 5468, 1331, 519, 22285, 1327, 6362, 3196, 267, 546, 3151, 942, 267, 13297, 3432, 267, 22285, 5210, 267, 543, 12718, 543, 27460, 5210, 269, 3371, 267, 818, 7921, 311, 16447, 6513, 19130, 10112, 626, 666, 948, 519, 3593, 2569, 15653, 2694, 543, 1711, 811, 7123, 2504, 2175, 630, 339, 17687, 267, 2604, 267, 13297, 3432, 264, 602, 1927, 3132, 519, 1034, 3608, 8929, 585, 519, 3498, 269, 1452, 5468, 616, 2629, 1107, 3346, 8121, 289, 7838, 294, 547, 1265, 2081, 547, 948, 596, 2824, 519, 1034, 1648, 18026, 5468, 602, 1810, 1406, 1860, 2773, 269, 15332, 519, 3684, 267, 13020, 1023, 543, 1184, 5468, 267, 4058, 707, 2504, 5265, 267, 543, 6236, 1648, 2359, 666, 849, 4688, 596, 2724, 269, 15380, 267, 513, 5010, 1648, 4579, 23403, 538, 4434, 875, 1454, 1648, 596, 991, 543, 1018, 596, 3580, 2628, 585, 269, 1401, 3865, 532, 519, 6512, 666, 1651, 584, 513, 2362, 737, 2662, 2557, 267, 865, 621, 568, 1271, 547, 917, 707, 5021, 8445, 4452, 269, 634, 3593, 666, 723, 606, 4430, 610, 2362, 4390, 3761, 538, 1747, 267, 855, 713, 9744, 786, 1942, 811, 1256, 952, 621, 568, 711, 1031, 269, 968, 2005, 2731, 17188, 547, 6467, 593, 782, 707, 6191, 538, 513, 5311, 543, 2348, 1648, 2359, 593, 1142, 3684, 547, 3262, 519, 5201, 4452, 936, 942, 2223, 3081, 8121, 289, 7838, 294, 13456, 269, 19833, 10615, 12832, 15614, 23415, 269, 4201, 11703, 543, 588, 698, 13499, 6467, 6823, 281, 8121, 289, 7838, 294, 779, 3301, 21410, 519, 1655, 4090, 1282, 513, 1376, 5346, 1184, 1142, 5057, 568, 23564, 593, 267, 865, 3388, 10301, 8445, 2773, 693, 519, 1482, 942, 267, 1175, 1354, 4358, 2504, 269, 22732, 532, 593, 782, 3334, 1927, 5932, 1164, 8445, 13907, 267, 543, 3334, 666, 581, 12699, 909, 543, 4712, 547, 979, 1247, 824, 2127, 991, 1896, 811, 3764, 547, 3914, 19993, 2837, 269, 2290, 1360, 1455, 1966, 585, 1648, 2530, 538, 2371, 568, 19316, 2011, 20984, 269, 2311, 476, 1321, 3046, 2604, 267, 513, 476, 1015, 7825, 8006, 8559, 538, 519, 1062, 666, 6336, 519, 2754, 11278, 25953, 267, 1822, 513, 1032, 693, 476, 2412, 335, 533, 31574, 2662, 269, 2274, 752, 4152, 543, 28472, 707, 2011, 2707, 786, 2569, 1648, 12014, 269, 634, 5048, 568, 547, 2638, 1169, 3942, 540, 519, 3003, 1184, 5832, 585, 1016, 268, 9953, 2711, 1305, 13522, 543, 18985, 873, 1141, 2009, 563, 18933, 26677, 547, 3167, 666, 4688, 5215, 454, 2752, 289, 7838, 294, 814, 14916, 7318, 1896, 1114, 6191, 609, 1648, 268, 9953, 574, 2213, 2029, 1996, 513, 15977, 17453, 3684, 269, 18873, 3379, 513, 476, 30420, 306, 630, 12061, 1606, 969, 334, 264, 17453, 267, 476, 30420, 295, 10316, 543, 476, 30420, 288, 20231, 11403, 25893, 782, 3887, 10431, 3684, 269, 24951, 519, 476, 30420, 306, 17453, 267, 519, 20231, 11403, 25893, 968, 4467, 3228, 892, 10710, 476, 2412, 267, 1220, 737, 2662, 829, 1032, 267, 1759, 593, 970, 1905, 565, 730, 2542, 1648, 13220, 269, 2311, 519, 1942, 540, 476, 2412, 335, 533, 31574, 2662, 713, 1226, 730, 547, 11278, 1626, 267, 8517, 9806, 829, 3684, 538, 513, 1032, 269, 589, 476, 1015, 2173, 22389, 6300, 267, 609, 9838, 6191, 267, 1223, 4061, 4688, 936, 11278, 8182, 267, 1822, 538, 513, 1032, 269, 6270, 5458, 9806, 1131, 7363, 1152, 4019, 950, 606, 4587, 17453, 3684, 568, 8719, 676, 513, 1007, 22606, 3167, 3684, 971, 607, 606, 1325, 671, 337, 633, 270, 20112, 523, 11272, 269, 8121, 289, 7838, 294, 814, 1500, 4264, 5663, 513, 30361, 540, 519, 1870, 538, 519, 2063, 2947, 1296, 543, 814, 513, 2647, 2039, 540, 12227, 543, 3301, 3435, 547, 2569, 3327, 5434, 267, 5631, 4988, 896, 519, 818, 7921, 294, 3918, 2894, 16447, 24194, 540, 4066, 269, 1284, 849, 1631, 723, 8121, 289, 7838, 294, 11059, 4643, 6052, 267, 513, 10872, 602, 2488, 1648, 5796, 267, 6165, 6482, 267, 27164, 7257, 1154, 3608, 2694, 267, 2866, 543, 811, 269, 1280, 811, 5796, 593, 1648, 9806, 267, 4757, 18078, 17106, 11333, 3820, 269, 1280, 811, 3877, 827, 519, 4274, 14245, 9447, 693, 8121, 289, 7838, 294, 779, 1930, 27440, 2680, 538, 2904, 267, 4945, 1934, 563, 5649, 811, 3377, 689, 8121, 289, 7838, 294, 1934, 269, 0, 763, 1739, 2376, 6257, 1879, 547, 2422, 590, 32268, 538, 808, 9915, 563, 306, 32268, 538, 808, 9915, 630, 297, 6072, 306, 13996, 9664, 264, 1450, 596, 547, 4558, 543, 23074, 1239, 1063, 2789, 13668, 1500, 676, 513, 3593, 269, 590, 32268, 666, 581, 3730, 538, 1082, 3871, 269, 1280, 1383, 563, 268, 14871, 17452, 269, 590, 32268, 2226, 1344, 827, 513, 3593, 779, 21189, 4567, 267, 971, 607, 741, 27024, 543, 10957, 865, 602, 789, 1810, 1406, 723, 547, 2845, 538, 1586, 1169, 942, 789, 1569, 513, 1007, 2985, 593, 519, 3896, 563, 268, 19255, 4771, 7047, 338, 269, 4746, 267, 7886, 3180, 3877, 827, 3688, 513, 3593, 8952, 538, 741, 10918, 7047, 865, 602, 789, 1810, 1406, 6336, 741, 25926, 950, 789, 6330, 547, 513, 1114, 2985, 593, 519, 3896, 563, 268, 4813, 1239, 269, 634, 8400, 6585, 1106, 1239, 17303, 865, 602, 3755, 1810, 1406, 723, 547, 556, 268, 10938, 519, 1344, 952, 789, 6330, 2476, 689, 519, 1106, 543, 2097, 1394, 2663, 563, 268, 14871, 7375, 269, 4746, 267, 7886, 2226, 3593, 7375, 267, 971, 607, 519, 3593, 779, 9053, 1893, 610, 2681, 10325, 865, 602, 519, 3896, 666, 21160, 922, 5920, 610, 2623, 585, 1142, 3593, 563, 1103, 2489, 267, 7886, 616, 3730, 8164, 596, 991, 547, 4558, 1344, 17303, 1063, 13668, 538, 513, 1357, 3498, 269, 1717, 267, 621, 779, 1271, 547, 946, 7886, 4140, 5534, 569, 543, 711, 4558, 811, 1239, 982, 2556, 267, 607, 713, 666, 1764, 519, 2773, 543, 25382, 540, 519, 3498, 269, 3958, 267, 621, 779, 1271, 547, 4383, 7886, 5265, 547, 2057, 3354, 4220, 971, 607, 8400, 554, 6359, 22326, 610, 8400, 30651, 563, 268, 29961, 4880, 17563, 454, 268, 5295, 4437, 454, 268, 2480, 337, 2255, 476, 274, 269, 271, 0, 763, 2165, 834, 29589, 16687, 257, 538, 13557, 10386, 4016, 547, 513, 11347, 1858, 610, 3296, 540, 519, 3003, 1570, 602, 568, 5697, 547, 1491, 513, 3732, 269, 634, 2856, 568, 547, 1491, 513, 3732, 602, 4564, 782, 519, 4162, 543, 3601, 540, 519, 3003, 13557, 1570, 538, 519, 9757, 3444, 16687, 563, 2080, 616, 930, 1808, 3344, 602, 12172, 519, 2165, 538, 2474, 540, 13557, 10386, 912, 268, 11724, 894, 3732, 281, 1879, 596, 1491, 513, 3732, 689, 513, 13557, 1570, 267, 596, 1616, 602, 3732, 547, 2099, 519, 3003, 1570, 269, 634, 3444, 16687, 1058, 581, 6074, 538, 971, 513, 1259, 602, 621, 2488, 606, 4977, 6041, 540, 519, 1570, 538, 922, 30810, 563, 268, 7352, 1464, 538, 1570, 281, 10089, 330, 1570, 666, 581, 4756, 538, 922, 5888, 269, 634, 3444, 16687, 1058, 581, 6074, 538, 971, 513, 1259, 602, 621, 3217, 883, 2272, 713, 13260, 543, 3568, 606, 1256, 3892, 540, 519, 1585, 3334, 540, 519, 1570, 563, 268, 9061, 22891, 10386, 4480, 281, 1703, 616, 1808, 10386, 2553, 538, 799, 519, 3444, 16687, 540, 519, 1570, 568, 9916, 610, 3144, 269, 1280, 1383, 267, 950, 9427, 10286, 2472, 267, 513, 15524, 767, 610, 824, 3926, 666, 581, 1031, 547, 1491, 513, 3444, 16687, 540, 519, 1570, 689, 519, 2627, 547, 519, 5377, 540, 519, 8708, 563, 268, 9061, 16687, 540, 519, 23740, 1899, 281, 769, 23740, 3515, 610, 26797, 602, 3560, 13557, 1570, 267, 519, 3444, 16687, 1419, 4016, 547, 519, 3003, 1858, 540, 519, 1899, 610, 12966, 998, 799, 519, 1570, 8928, 269, 589, 3732, 8204, 519, 3003, 3444, 16687, 1223, 2270, 513, 7833, 7848, 540, 9325, 7306, 543, 2010, 1369, 519, 1570, 563, 268, 4039, 566, 547, 2079, 281, 634, 3444, 16687, 3144, 1058, 1683, 519, 1344, 2877, 585, 519, 1808, 2079, 267, 2436, 585, 2298, 1852, 267, 1382, 610, 10220, 11974, 563, 1103, 5758, 267, 834, 29589, 16687, 257, 538, 13557, 10386, 568, 513, 2165, 602, 4016, 547, 519, 11347, 5542, 540, 513, 3296, 540, 519, 1570, 602, 4564, 922, 30810, 269, 634, 2953, 5542, 543, 8851, 540, 519, 3444, 16687, 568, 2629, 585, 519, 6111, 543, 10727, 540, 10386, 543, 519, 4611, 2079, 269, 0, 300, 9508, 2091, 585, 11629, 338, 281, 8490, 519, 8892, 540, 14044, 18712, 454, 24993, 281, 4455, 476, 2190, 454, 763, 13849, 2091, 568, 606, 6932, 1523, 602, 814, 9676, 519, 9345, 540, 10509, 12439, 543, 13777, 584, 1235, 7567, 269, 898, 4564, 513, 4628, 15138, 5691, 1158, 602, 26779, 2609, 540, 1514, 13033, 267, 11080, 267, 543, 21284, 4641, 269, 1306, 519, 13849, 2091, 5170, 547, 11457, 267, 621, 786, 2154, 519, 15421, 540, 9952, 16413, 547, 1374, 543, 1628, 519, 1950, 5989, 2877, 547, 1489, 922, 2208, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1909, 540, 16413, 538, 519, 13849, 2091, 543, 519, 1983, 2877, 547, 8011, 538, 713, 3078, 2361, 563, 1432 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 922, 4398, 2557, 269, 3590, 4398, 568, 513, 2268, 540, 942, 543, 513, 5488, 5114, 942, 786, 1291, 547, 2362, 6531, 22786, 602, 786, 538, 2490, 5352, 811, 4398, 538, 519, 2533, 3177, 563, 30208, 22786, 814, 1082, 2640, 936, 2757, 1062, 1102, 2858, 23461, 269, 1280, 3236, 267, 621, 3085, 1406, 723, 547, 7048, 593, 1062, 16984, 610, 1062, 19767, 547, 6895, 519, 2533, 547, 2057, 11991, 21463, 269, 898, 17990, 519, 1870, 689, 11991, 5989, 1942, 563, 3086, 12997, 267, 6531, 7384, 2533, 949, 2709, 1312, 27249, 543, 13412, 2533, 547, 741, 5561, 269, 4014, 1312, 2474, 616, 1031, 538, 6531, 7384, 267, 789, 616, 1114, 10305, 540, 513, 6531, 1604, 563, 30208, 4432, 2880, 640, 4016, 547, 519, 1062, 779, 2702, 547, 6175, 610, 2333, 922, 4199, 14305, 538, 1483, 6066, 538, 3210, 547, 513, 6727, 6749, 610, 21782, 538, 3747, 269, 13192, 2480, 531, 1464, 593, 519, 824, 1688, 4016, 547, 519, 2799, 24913, 609, 2463, 547, 922, 2907, 4540, 5989, 547, 2743, 922, 1279, 3856, 2208, 7569, 1510, 1022, 3028, 954, 8306, 563, 30208, 2480, 531, 1464, 568, 7363, 1031, 538, 1870, 5054, 602, 723, 811, 22150, 1102, 2858, 24780, 4238, 269, 634, 8545, 1568, 538, 513, 840, 13807, 534, 1676, 6073, 1247, 519, 5449, 6411, 8216, 24345, 1813, 547, 4756, 24913, 2242, 269, 13192, 25382, 568, 1500, 2009, 676, 1210, 5691, 1436, 610, 5691, 6191, 607, 789, 616, 3810, 27249, 543, 581, 26987, 909, 543, 1524, 1247, 1373, 18799, 593, 2789, 13763, 563, 13828, 2934, 540, 6531, 7384, 616, 1271, 543, 1360, 1134, 1644, 547, 1142, 824, 538, 7393, 1062, 4398, 269, 1717, 267, 519, 16126, 593, 2901, 835, 540, 519, 4183, 5673, 593, 519, 1826, 540, 1870, 543, 519, 2470, 540, 6075, 3747, 1107, 22150, 24913, 338, 610, 3810, 4756, 24913, 338, 563, 30208, 22786, 8591, 7207, 610, 10597, 519, 4390, 540, 6531, 7384, 609, 519, 2907, 4540, 8668, 5989, 269, 898, 3085, 1406, 2154, 3063, 9541, 538, 1007, 3301, 267, 2866, 10986, 267, 610, 4946, 1007, 3937, 269, 898, 11498, 519, 32636, 540, 519, 2907, 4540, 8668, 7207, 676, 10128, 609, 6531, 2533, 543, 2645, 563, 2005, 2337, 547, 5838, 7384, 2533, 29858, 547, 519, 5561, 609, 8897, 1510, 2348, 547, 1039, 3063, 1942, 547, 519, 1870, 538, 2474, 540, 4390, 2679, 269, 898, 11479, 3608, 4213, 543, 568, 835, 540, 519, 1906, 2934, 602, 723, 11573, 3042, 519, 3747, 585, 6531, 7384, 547, 3152, 15627, 563, 1607, 1826, 540, 7384, 1995, 568, 9447, 1210, 1896, 4485, 971, 607, 519, 2628, 23829, 3917, 537, 30559, 2203, 3092, 269, 634, 2640, 540, 1210, 971, 2533, 616, 602, 513, 6075, 3843, 547, 1992, 606, 31302, 7384, 4199, 899, 7384, 17765, 942, 267, 4859, 267, 3965, 267, 3060, 267, 3092, 666, 1992, 971, 2200, 538, 606, 13128, 3210, 1510, 2348, 547, 1902, 538, 8628, 1102, 2858, 23461, 610, 1510, 2348, 547, 4308, 609, 1480, 4205, 538, 1483, 6066, 563, 1607, 1826, 540, 3028, 568, 27723, 1031, 538, 519, 10685, 10126, 1813, 547, 1164, 11385, 908, 12119, 2534, 269, 4438, 1055, 5498, 1783, 6455, 610, 1032, 15134, 6455, 267, 513, 6727, 21782, 538, 519, 1062, 949, 581, 6383, 602, 3340, 811, 7384, 2200, 1813, 547, 519, 2333, 538, 3747, 689, 519, 5561, 269, 5502, 540, 2810, 519, 6578, 593, 5458, 5989, 3790, 547, 2743, 971, 4390, 3747, 267, 513, 3280, 1870, 3070, 1131, 581, 547, 1491, 909, 713, 4316, 676, 1210, 513, 6531, 13412, 3028, 563, 1607, 3028, 786, 6023, 519, 1906, 4374, 540, 1164, 4390, 3747, 1247, 585, 519, 1964, 540, 519, 1032, 267, 621, 786, 16056, 1394, 547, 922, 3339, 4390, 269, 898, 6157, 814, 513, 3152, 1764, 593, 4213, 543, 666, 581, 513, 1483, 4308, 952, 10685, 3549, 616, 3168, 547, 2759, 741, 1942, 593, 8668, 5989, 22939, 563, 2026, 811, 4213, 585, 599, 883, 713, 2872, 585, 1942, 13716, 4369, 543, 10512, 4398, 267, 3747, 585, 10316, 6531, 5054, 2059, 609, 519, 22786, 540, 1857, 6531, 2533, 723, 1831, 519, 1007, 2343, 269, 13192, 22786, 6770, 538, 1942, 13716, 4369, 543, 5812, 2773, 609, 3028, 8244, 5180, 519, 9219, 563, 9377, 1456, 519, 4213, 538, 2474, 540, 4199, 3589, 1464, 610, 24913, 7648, 949, 1450, 6531, 7384, 2533, 547, 1683, 513, 27249, 610, 13412, 3070, 547, 741, 7817, 779, 1870, 2115, 269, 901, 786, 948, 538, 7114, 799, 6531, 7384, 2533, 1131, 4866, 538, 513, 1857, 6531, 1604, 543, 799, 4213, 666, 581, 17411, 676, 519, 3919, 3294, 563, 297, 12127, 1177, 9142, 779, 5403, 12392, 25890, 5358, 769, 13192, 17270, 6770, 13192, 8321, 1218, 6251, 547, 741, 5326, 6009, 269, 634, 4745, 2275, 1068, 2305, 1576, 568, 476, 277, 3275, 1279, 543, 568, 5342, 2228, 543, 786, 948, 596, 1831, 513, 2347, 13192, 12333, 269, 0, 24309, 676, 31550, 21619, 1068, 630, 18431, 8242, 5437, 476, 3066, 267, 476, 1708, 272, 994, 17457, 8924, 666, 4440, 1655, 581, 6956, 676, 9236, 873, 609, 5929, 8924, 269, 1703, 568, 930, 2012, 10539, 1063, 519, 1079, 269, 7073, 8924, 616, 849, 1634, 607, 1558, 549, 8924, 610, 8837, 15188, 8924, 269, 25839, 8924, 616, 3006, 1634, 607, 18376, 8924, 630, 6518, 568, 606, 25031, 2012, 267, 2094, 2413, 8924, 2196, 593, 519, 18376, 607, 1134, 1040, 2201, 8837, 476, 279, 543, 476, 279, 269, 272, 267, 2413, 543, 5929, 3156, 941, 7168, 5693, 9674, 267, 855, 609, 8837, 476, 1015, 267, 972, 781, 1454, 1447, 540, 513, 9668, 1063, 519, 1079, 2010, 540, 3156, 563, 2414, 519, 3593, 267, 972, 3884, 1405, 1454, 3017, 1063, 513, 2413, 813, 543, 513, 5929, 813, 269, 634, 5449, 8255, 593, 8837, 476, 279, 267, 8837, 21512, 267, 8837, 476, 1015, 7193, 338, 267, 543, 14342, 269, 25839, 8924, 616, 3710, 585, 8837, 476, 278, 267, 476, 279, 267, 543, 476, 1015, 18376, 1949, 269, 589, 2413, 813, 814, 1100, 3544, 7406, 543, 25361, 519, 3003, 5496, 676, 9949, 269, 1358, 666, 267, 1498, 267, 1376, 538, 513, 6885, 267, 543, 952, 865, 789, 1419, 7328, 513, 834, 327, 3711, 584, 3455, 10624, 257, 543, 723, 741, 2140, 538, 519, 5580, 268, 3847, 3079, 540, 10704, 563, 2791, 666, 1152, 1205, 2413, 8924, 689, 519, 8837, 15188, 267, 543, 596, 666, 1152, 2196, 835, 2413, 813, 693, 513, 942, 269, 3143, 811, 3818, 2389, 27965, 607, 596, 666, 609, 5929, 8924, 269, 630, 296, 8275, 713, 666, 581, 1312, 1434, 543, 3983, 4700, 1656, 2413, 8924, 1246, 513, 834, 338, 663, 7901, 539, 257, 3354, 2203, 547, 2061, 873, 689, 20739, 1136, 688, 22106, 593, 707, 3003, 1062, 269, 769, 2489, 267, 2413, 8924, 4043, 547, 581, 811, 899, 5985, 8924, 8957, 5929, 8924, 799, 616, 1869, 2966, 585, 519, 7193, 18376, 269, 28791, 596, 2811, 513, 17354, 267, 1498, 267, 519, 7887, 3017, 596, 3513, 1294, 1063, 519, 1079, 2010, 540, 8924, 568, 519, 3593, 8818, 563, 1607, 9133, 630, 13670, 6434, 264, 10039, 547, 8837, 476, 1015, 563, 15919, 513, 1982, 666, 1205, 834, 560, 3089, 2437, 2495, 621, 568, 1100, 3476, 17841, 543, 5526, 547, 581, 3257, 4986, 693, 782, 269, 1411, 666, 3267, 20524, 2859, 454, 2467, 949, 2097, 513, 942, 950, 707, 1062, 568, 1100, 3476, 5665, 5265, 269, 901, 1223, 581, 519, 1267, 540, 3204, 3588, 2242, 267, 513, 3267, 20524, 2859, 454, 2005, 781, 2009, 602, 519, 8837, 25817, 6885, 949, 12212, 1205, 856, 540, 5348, 322, 609, 519, 1239, 621, 781, 18071, 269, 1411, 666, 3267, 20524, 2859 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 262, 6540, 3698, 4452, 3890, 1384, 825, 2518, 9343, 692, 825, 1948, 4452, 1239, 883, 513, 1592, 540, 1592, 454, 825, 609, 1930, 3488, 335, 20094, 27406, 3299, 1412, 337, 10807, 607, 535, 912, 1038, 1948, 1224, 3758, 883, 513, 26417, 3898, 454, 1038, 5467, 815, 26417, 18667, 518, 6600, 2020, 1038, 1948, 621, 4733, 547, 476, 272, 560, 3693, 543, 454, 1038, 1948, 4894, 519, 2361, 781, 2012, 4737, 454, 1038, 20927, 815, 1985, 263, 1348, 518, 2020, 1038, 1948, 4452, 1239, 883, 9343, 609, 454, 1038, 1948, 1697, 1239, 1826, 3898, 454, 1038, 9343, 815, 20886, 842, 21405, 314, 271, 25818, 4737, 314, 272, 3910, 10581, 21405, 314, 273, 25818, 24303, 6155, 520, 8135, 269, 1598, 696, 830, 21405, 314, 274, 3910, 1412, 260, 332, 270, 260, 323, 270, 260, 312, 10807, 316, 585, 4737, 538, 5467, 6540, 454, 3698, 4159, 318, 29798, 263, 29798, 2187, 825, 8173, 825, 2598, 680, 904, 1587, 1344, 538, 513, 4737, 563, 825, 634, 2164, 786, 581, 513, 1592, 540, 8638, 269, 3962, 454, 825, 1592, 786, 2270, 519, 2838, 6724, 602, 454, 825, 616, 7329, 267, 2012, 267, 3902, 543, 1163, 19418, 4266, 780, 825, 7151, 540, 519, 2497, 1058, 581, 910, 3097, 1038, 3349, 14491, 32284, 8443, 272, 267, 1412, 5575, 3732, 6221, 3299, 476, 272, 269, 2537, 267, 1412, 297, 3198, 268, 4905, 268, 1001, 280, 262, 7481, 825, 29185, 825, 585, 1267, 538, 2164, 912, 1038, 3349, 14491, 32284, 31114, 2020, 825, 1820, 6025, 762, 994, 825, 3349, 269, 27234, 318, 4900, 30800, 3698, 13214, 6025, 758, 839, 2187, 825, 6882, 318, 2421, 28804, 26174, 815, 1592, 6600, 559, 614, 10857, 10033, 4737, 281, 21797, 314, 271, 316, 10922, 4737, 314, 273, 316, 10922, 21797, 314, 272, 3910, 9343, 4917, 825, 6882, 318, 2421, 5091, 919, 815, 1592, 6600, 559, 614, 10857, 10033, 4737, 281, 21797, 314, 273, 316, 10922, 4737, 314, 274, 316, 10922, 21797, 314, 274, 3910, 6882, 318, 2421, 28804, 26174, 4917, 825, 2132, 15044, 6600, 559, 614, 318, 2421, 5091, 919, 267, 1883, 284, 14433, 4737, 281, 4737, 314, 274, 316, 9239, 3698, 13214, 15461, 318, 14310, 318, 845, 2660, 263, 29798, 2187, 825, 8173, 825, 17838, 13214, 883, 1697, 5569, 454, 825, 1826, 3898, 865, 621, 666, 581, 16041, 883, 454, 825, 3349, 14491, 32284, 3890, 1599, 282, 1899, 476, 2918, 454, 825, 29185, 825, 585, 1775, 267, 1267, 538, 26246, 263, 29798, 2187, 1038, 1267, 314, 274, 316, 815, 1267, 314, 274, 4940, 1598, 1111, 830, 3488, 260, 321, 268, 260, 323, 268, 260, 312, 262, 1040, 21639, 4590, 1038, 2164, 5157, 316, 815, 1267, 692, 825, 2132, 2164, 7531, 3698, 1612, 572, 318, 12252, 263, 12252, 2187, 825, 8173, 825, 29807, 525, 543, 7024, 21797, 540, 454, 825, 4971, 538, 1697, 1239, 1826, 563, 825, 16849, 1412, 16178, 262, 952, 4971, 729, 454, 825, 13817, 29664, 323, 540, 4636, 569, 29921, 780, 825, 13817, 29664, 323, 1383, 910, 3097, 1038, 834, 24191, 333, 29951, 3534, 604, 341, 257, 18092, 8771, 454, 1038, 834, 273, 269, 2412, 476, 273, 269, 2568, 808, 3198, 268, 4905, 268, 1001, 280, 257, 18092, 8771, 692, 825, 2953, 1383, 20620, 1038, 834, 273, 269, 2412, 476, 273, 269, 2568, 808, 3198, 268, 4905, 268, 1001, 280, 808, 3198, 268, 4029, 268, 1001, 280, 257, 18092, 1496, 273, 269, 275, 267, 476, 273, 269, 277, 267, 30220, 6155, 520, 8135, 263, 1001, 280, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 1070, 30220, 6155, 520, 8135, 263, 1001, 280, 267, 476, 272, 267, 476, 4029, 267, 476, 271, 267, 476, 271, 22708, 825, 29185, 825, 21797, 815, 4971, 21858, 3488, 30386, 8931, 825, 1948, 2094, 513, 1697, 4971, 814, 476, 275, 454, 825, 1948, 3334, 547, 621, 267, 952, 519, 18351, 454, 825, 1948, 8237, 8120, 1447, 610, 3152, 454, 825, 1948, 982, 476, 275, 1287, 649, 1810, 1405, 991, 547, 454, 825, 1948, 2638, 585, 14496, 540, 519, 4971, 454, 825, 952, 7003, 6025, 758, 839, 264, 11203, 476, 275, 912, 1038, 2132, 18011, 12252, 1058, 581, 538, 834, 11266, 21201, 318, 300, 2562, 11553, 21201, 318, 7246, 311, 12327, 303, 7644, 2464, 318, 4306, 11286, 12327, 303, 7644, 2464, 318, 4306, 8008, 257, 3898, 3299, 1070, 8771, 692, 825, 1948, 2119, 547, 6460, 12673, 883, 454, 825, 1948, 1697, 12043, 543, 6952, 1022, 454, 825, 1948, 17756, 602, 616, 6659, 454, 825, 1948, 547, 2132, 519, 8771, 585, 5470, 454, 825, 2119, 912, 1038, 3902, 28804, 815, 10581, 6025, 758, 839, 314, 271, 7481, 1038, 3902, 26174, 815, 10581, 6025, 758, 839, 314, 272, 7481, 1038, 1163, 2231, 318, 11034, 815, 24303, 6155, 520, 8135, 269, 1598, 696, 830, 6025, 758, 839, 314, 273, 4940, 5115, 1388, 1125, 19572, 1412, 260, 321, 268, 260, 323, 268, 260, 312, 5073, 1038, 1163, 2231, 14067, 641, 815, 24303, 6155, 520, 8135, 269, 1598, 696, 830, 6025, 758, 839, 314, 274, 4940, 5115, 1388, 1125, 19572, 1412, 260, 321, 268, 260, 323, 268, 260, 312, 5073, 825, 4849, 1401, 4003, 607, 552, 912, 1038, 2132, 630, 324, 267, 1070, 8771, 692, 825, 1948, 593, 3811, 11056, 267, 4452, 454, 825, 1948, 1239, 538, 1697, 2053, 883, 513, 1592, 454, 825, 1948, 543, 2132, 454, 825, 2132, 630, 23748, 28804, 267, 3902, 26174, 267, 1163, 2231, 318, 11034, 267, 1163, 2231, 14067, 641, 1070, 6936, 7531, 3698, 1376, 10031, 825, 8173, 825, 3399, 16561, 3593, 3403, 454, 825, 2372, 527, 1982, 950, 3593, 2010, 1412, 1410, 527, 7055, 825, 29185, 825, 4452, 10797, 825, 1247, 6936, 912, 1038, 4971, 815, 3403, 3488, 285, 30386, 1038, 952, 4971, 2652, 1412, 1410, 527, 12466, 2018, 2736, 454, 1038, 21797, 267, 1967, 815, 1612, 572, 318, 12252, 263, 12252, 994, 1038, 952, 1967, 912, 2018, 7117, 815, 13214, 6025, 758, 839, 994, 2018, 2164, 815, 13214, 15461, 318, 14310, 318, 845, 2660, 32429, 994, 2018, 4159, 318, 29798, 263, 29798, 994, 2018, 4452, 4590, 2018, 3136, 454, 1038, 3116, 912, 2018, 1820, 3488, 19587, 2433, 3299, 21797, 314, 271, 7481, 1038, 1948, 4159, 318, 29798, 263, 4900, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1376, 10797, 258, 21797, 267, 552, 815, 1612, 572, 318, 12252, 3488, 273, 269, 2412, 476, 273, 269, 2568, 808, 3198, 268, 4905, 268, 1001, 280, 808, 3198, 268, 4029, 268, 1001, 280, 5073, 258, 7117, 815, 13214, 6025, 758, 839, 994, 258, 2164, 815, 13214, 15461, 318, 14310, 318, 845, 2660, 32429, 994, 258, 4159, 318, 29798, 263, 29798, 994, 0, 18851, 275, 269, 2843, 510, 3264, 3522, 20434, 13194, 7846, 13953, 16021, 25338, 3522, 13194, 13833, 9924, 13953, 17095, 20977, 4736, 4736, 2961, 269, 2843, 352, 18194, 31606, 4709, 22147, 3378, 17095, 20977, 4736, 4736, 3522, 18194, 17201, 21833, 21162, 25338, 9924, 31224, 11012, 6459, 29391, 7846, 19628, 27569, 4138, 3264, 25602, 4344, 23485, 16648, 7846, 4344, 9924, 912, 14588, 539, 267, 2681, 267, 2012, 267, 568, 7272, 565, 823, 630, 16648, 7846, 6459, 3264, 8563, 3378, 1916, 396, 494, 476, 25000, 7549, 21833, 3264, 20413, 20046, 19757, 9924, 281, 979, 267, 3247, 267, 2490, 5560, 3925, 13211, 7549, 30324, 18775, 9924, 3264, 18194, 17201, 21833, 21162, 11012, 3378, 29652, 27569, 28476, 267, 24893, 26580, 20413, 3522, 20732, 4138, 20265, 10780, 3378, 3264, 17153, 3522, 20977, 267, 16068, 13150, 31606, 13833, 4138, 20977, 4736, 9841, 267, 10780, 13833, 21268, 4709, 7846, 20977, 630, 7549, 7846, 28027, 1916, 396, 508, 10528, 4138, 20732, 4138, 16021, 14359, 27799, 7549, 17201, 9841, 7549, 3378, 18194, 3378, 10948, 21268, 17221, 17153, 17095, 20977, 4736, 4736, 13833, 281, 16011, 10111, 267, 22505, 10111, 267, 4518, 10111, 267, 17318, 10111, 563, 396, 498, 29652, 3522, 8563, 9841, 16021, 11714, 25338, 3522, 13194, 13833, 9924, 13953, 17095, 20977, 4736, 4736, 20413, 20046, 19757, 454, 19651, 5334, 32497, 267, 17095, 30324, 18775, 9924, 13953, 18194, 17201, 21833, 12811, 10780, 30718, 3522, 13194, 9924, 8563, 28476, 476, 16021, 7549, 7846, 27569, 7846, 19628, 11012, 7549, 18775, 3378, 13150, 9841, 25602, 8563, 4344, 21134, 29652, 4138, 31124, 269, 2843, 498, 31124, 17095, 20977, 4736, 4736, 13833, 16011, 10111, 15800, 4518, 10111, 454, 10528, 3264, 16417, 5284, 379, 16417, 9686, 3264, 20434, 16021, 20413, 20046, 19757, 1397, 5334, 32497, 269, 2843, 509, 23485, 23970, 20265, 10948, 23845, 4138, 11012, 7549, 18775, 3378, 13150, 4138, 11012, 8563, 9924, 20732, 3264, 476, 2568, 630, 307, 1144, 10111, 264, 15800, 476, 2412, 630, 13480, 10111, 264, 18194, 17201, 21833, 21170, 454, 8563, 9924, 8563, 19757, 4138, 31224, 31502, 11012, 3378, 29652, 27569, 23845, 3264, 16068, 10780, 16417, 8563, 9924, 20732, 23845, 4138, 11012, 7549, 18775, 3378, 13150, 4138, 563, 396, 350, 5284, 371, 28027, 13953, 16021, 16044, 491, 7549, 13194, 27671, 10528, 31124, 4814, 9924, 17095, 20977, 4736, 4736, 13833, 267, 10780, 3264, 16417, 28027, 13953, 16021, 23970, 20265, 10948, 23845, 9326, 25602, 4344, 23485, 16648, 7846, 4344, 13833, 269, 31560, 9924, 10528, 17201, 17221, 16021, 18194, 3378, 13150, 7846, 10528, 17095, 25602, 4344, 23485, 16648, 7846, 25000, 9261, 2676, 8563, 9924, 8563, 29391, 4138, 16021, 476, 16417, 13194, 7846, 23783, 4344, 19277, 269, 31560, 9924, 10528, 17201, 17221, 16021, 11714, 9924, 13194, 13833, 20413, 20046, 19757, 13833, 15800, 476, 25000, 7549, 21833, 3264, 10780, 30718, 3522, 21833, 4138, 16021, 476, 16417, 13194, 7846, 23783, 4344, 19277, 27969, 7531, 5035, 2961, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3432, 281, 703, 267, 2681, 281, 1193, 267, 2012, 281, 1193, 267, 568, 7272, 565, 823, 281, 536, 944, 2187, 1038, 1582, 4732, 32497, 815, 3432, 454, 1038, 1582, 269, 10233, 815, 2681, 454, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 18994, 7272, 565, 823, 815, 568, 7272, 565, 823, 692, 825, 1219, 979, 4311, 2187, 1038, 2132, 1412, 11034, 267, 1847, 28847, 825, 1219, 3247, 4311, 2187, 1038, 2132, 1412, 17380, 28847, 825, 1219, 2490, 318, 3847, 4311, 2187, 1038, 2132, 1412, 339, 1248, 2451, 28847, 825, 1219, 2490, 318, 2431, 4311, 2187, 1038, 2132, 1412, 339, 1248, 1318, 28847, 825, 1219, 1397, 5334, 32497, 4311, 2187, 1038, 2132, 27835, 14588, 539, 9166, 1582, 4732, 32497, 267, 1412, 9166, 32582, 348, 7531, 5035, 16011, 10111, 263, 10111, 2187, 825, 3432, 318, 3916, 527, 815, 476, 2568, 692, 825, 1219, 1397, 5334, 32497, 4311, 2187, 1038, 3432, 318, 16769, 815, 2706, 14061, 19651, 5334, 32497, 4590, 1038, 952, 3432, 318, 16769, 9131, 14588, 539, 11172, 3436, 16011, 10111, 4732, 32497, 318, 3916, 527, 912, 2018, 3432, 318, 16769, 314, 5257, 4940, 6572, 3488, 1478, 3432, 5073, 1038, 2132, 3432, 318, 16769, 7531, 5035, 22505, 10111, 263, 10111, 2187, 825, 1780, 7531, 5035, 4518, 10111, 263, 10111, 2187, 825, 3432, 318, 3916, 527, 815, 476, 2412, 692, 825, 1219, 1397, 5334, 32497, 4311, 2187, 1038, 3432, 318, 16769, 815, 2706, 14061, 19651, 5334, 32497, 4590, 1038, 952, 3432, 318, 16769, 9131, 14588, 539, 11172, 3436, 16011, 10111, 4732, 32497, 318, 3916, 527, 912, 2018, 3432, 318, 16769, 314, 5257, 4940, 6572, 3488, 1478, 3432, 5073, 1038, 2132, 3432, 318, 16769, 7531, 5035, 17318, 10111, 263, 10111, 2187, 825, 1780, 7531, 3832, 341, 549, 2280, 815, 16011, 10111, 263, 271, 267, 1412, 1042, 3299, 1412, 10267, 341, 549, 2280, 3299, 6936, 994, 2745, 6600, 262, 13640, 4461, 2715, 3832, 341, 549, 2280, 269, 10233, 9574, 2715, 3832, 341, 549, 2280, 20508, 9574, 595, 3591, 910, 2715, 3832, 341, 549, 2280, 18994, 7272, 565, 823, 348, 5073, 2745, 263, 3832, 341, 549, 2280, 269, 2998, 15405, 3832, 341, 549, 2280, 4732, 32497, 815, 476, 2004, 454, 2745, 263, 3832, 341, 549, 2280, 20481, 5334, 32497, 15405, 2745, 263, 3832, 341, 549, 2280, 6745, 1248, 318, 2431, 15405, 3832, 341, 549, 2280, 4732, 32497, 815, 476, 8099, 454, 2745, 263, 3832, 341, 549, 2280, 20481, 5334, 32497, 15405, 2745, 263, 3832, 341, 549, 2280, 6745, 1248, 318, 3847, 15405, 2745, 263, 3832, 341, 549, 2280, 14714, 641, 31156, 2745, 263, 2004, 2608, 834, 258, 15419, 326, 553, 815, 4518, 10111, 263, 271, 267, 1412, 18872, 3299, 1412, 294, 1794, 601, 3299, 8771, 994, 2745, 6600, 262, 13640, 4461, 2715, 326, 553, 269, 10233, 9574, 2715, 326, 553, 20508, 9574, 595, 3591, 910, 2715, 326, 553, 18994, 7272, 565, 823, 348, 5073, 2745, 14116, 553, 269, 2998, 15405, 326, 553, 4732, 32497, 815, 476, 1789, 454, 2745, 14116, 553, 20481, 5334, 32497, 15405, 326, 553, 4732, 32497, 815, 476, 3583, 454, 2745, 14116, 553, 20481, 5334 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1796, 9557, 267, 12077, 267, 602, 1434, 543, 9409, 616, 32753, 10353, 547, 835, 1776, 267, 543, 849, 267, 602, 789, 616, 538, 2169, 878, 2406, 4448, 286, 1548, 1223, 581, 741, 4276, 286, 1284, 4927, 3801, 547, 2626, 713, 2243, 693, 519, 1439, 540, 713, 1557, 563, 763, 1657, 24575, 540, 1480, 3765, 325, 28232, 267, 8659, 538, 519, 7121, 540, 519, 10700, 3510, 540, 812, 267, 6770, 721, 547, 519, 7706, 540, 9409, 540, 519, 824, 2186, 267, 799, 568, 607, 538, 1260, 11772, 1043, 607, 519, 9409, 4611, 689, 1480, 2962, 281, 12077, 519, 9409, 799, 812, 2833, 538, 519, 1158, 267, 17640, 547, 519, 2497, 540, 4641, 538, 799, 646, 568, 2713, 269, 769, 808, 5684, 619, 262, 960, 267, 713, 2034, 2186, 540, 9409, 568, 6829, 538, 2474, 602, 616, 1808, 547, 1010, 6138, 269, 1656, 865, 519, 32475, 15449, 908, 1480, 1272, 616, 2907, 547, 581, 1336, 538, 808, 5684, 619, 262, 1101, 960, 540, 6138, 267, 1010, 5369, 860, 773, 3541, 654, 3881, 753, 577, 879, 684, 2102, 538, 2474, 540, 519, 834, 656, 514, 5669, 2497, 540, 519, 667, 848, 514, 257, 630, 303, 310, 476, 22446, 268, 5325, 1040, 2494, 781, 1373, 14324, 1063, 32475, 267, 519, 5821, 646, 2833, 538, 519, 1576, 540, 1010, 1272, 267, 568, 2663, 1572, 13653, 532, 630, 306, 3832, 527, 1716, 1040, 769, 1010, 11096, 2684, 773, 808, 5684, 619, 849, 4967, 602, 519, 1884, 514, 5669, 2497, 540, 519, 1158, 19752, 519, 3668, 540, 10700, 20106, 269, 898, 5526, 834, 553, 519, 27945, 3765, 2044, 1369, 519, 1158, 257, 630, 303, 2862, 476, 7742, 1040, 10598, 18356, 543, 538, 1410, 2364, 1464, 540, 812, 781, 3510, 616, 1034, 900, 874, 5597, 6829, 538, 1010, 6609, 540, 10465, 3871, 630, 294, 1066, 345, 338, 527, 6672, 523, 1070, 799, 616, 11840, 725, 540, 519, 10700, 3510, 630, 294, 745, 2738, 527, 6672, 28931, 297, 5684, 619, 13000, 891, 2907, 538, 1010, 1101, 960, 540, 6138, 267, 2663, 21040, 873, 538, 1010, 11096, 2684, 773, 267, 543, 7024, 547, 873, 538, 1010, 7766, 1568, 563, 1103, 812, 781, 10700, 3510, 267, 824, 5686, 540, 3765, 325, 28232, 616, 849, 8659, 282, 741, 2707, 568, 14084, 538, 519, 1360, 2470, 540, 4641, 269, 1358, 5614, 689, 519, 1249, 602, 950, 9117, 267, 812, 8188, 12808, 5079, 267, 543, 646, 568, 2760, 2111, 547, 8275, 782, 519, 3681, 269, 1879, 7446, 1010, 2619, 267, 646, 12034, 824, 10092, 602, 646, 814, 711, 5697, 267, 543, 676, 16734, 835, 7872, 267, 646, 7947, 338, 543, 2144, 1162, 824, 7399, 269, 3962, 3350, 689, 519, 20581, 540, 7399, 547, 519, 13113, 4641, 1797, 9561, 782, 519, 824, 8458, 11014, 269, 901, 2530, 3123, 812, 547, 1745, 513, 2631, 540, 771, 20880, 267, 543, 849, 513, 2631, 540, 16203, 282, 621, 7959, 899, 607, 952, 646, 729, 9561, 513, 851, 540, 5128, 267, 12077, 267, 519, 851, 602, 646, 786, 2760, 581, 2111, 547, 8275, 269, 808, 5684, 619, 2798, 547, 812, 781, 8984, 8321, 566, 547, 4628, 8275, 1010, 7399, 267, 547, 1582, 3146, 531, 1436, 267, 799, 1131, 1611, 8236, 835, 781, 1378, 1367, 19870, 269, 1809, 267, 607, 808, 5684, 619, 2829, 281, 834, 7224, 812, 666, 4890, 1125, 782, 602, 6013, 1369, 1864, 257, 630, 22333, 302, 476, 22332, 1040, 4475, 267, 812, 6544, 1161, 519, 3903, 540, 835, 7872, 693, 519, 1942, 540, 824, 7399, 607, 1582, 29438, 2787, 267, 607, 1272, 538, 7522, 1145, 630, 5319, 613, 1070, 799, 859, 10280, 519, 4743, 540, 6650, 325, 1254, 543, 519, 1671, 5224, 4743, 540, 16203, 269, 1306, 513, 5114, 547, 713, 267, 646, 16858, 547, 2611, 538, 519, 7706, 540, 7872, 267, 543, 646, 759, 1235, 4641, 630, 1598, 7564, 889, 339, 521, 747, 575, 1122, 523, 3541, 7464, 28059, 1040, 808, 5684, 619, 568, 11874, 2565, 2509, 519, 21084, 540, 9525, 543, 2921, 5539, 267, 2864, 646, 15156, 10100, 3585, 16561, 835, 781, 7687, 267, 16460, 585, 519, 3903, 835, 814, 1500, 267, 543, 6967, 21705, 547, 835, 781, 3375, 269, 901, 2909, 1324, 835, 781, 9808, 14923, 568, 10483, 609, 519, 27069, 16203, 4611, 689, 519, 10343, 540, 13951, 538, 835, 781, 7687, 269, 5020, 781, 3765, 325, 28232, 814, 922, 2707, 538, 519, 15739, 32735, 1063, 1018, 812, 13821, 607, 2407, 19870, 267, 519, 4998, 267, 543, 602, 547, 799, 646, 568, 798, 15701, 269, 1261, 14621, 713, 7287, 607, 513, 2186, 540, 1582, 1673, 601, 4288, 267, 585, 952, 812, 6499, 547, 3251, 9800, 267, 646, 1590, 1205, 3238, 609, 519, 1158, 267, 543, 713, 1797, 602, 646, 3112, 2057, 713, 1106, 540, 3765, 2044, 267, 12077, 267, 2713, 15392, 6650, 325, 1254, 269, 3371, 649, 1294, 519, 12491, 527, 1464, 267, 799, 568, 8984, 585, 808, 5684, 619, 262, 10465, 3510, 540, 16203, 281, 812, 568, 16944, 267, 950, 646, 4991, 3238, 267, 1317, 538, 713, 2013, 646, 2729, 538, 519, 32560, 540, 1010, 7399, 282, 543, 646, 568, 16944, 1932, 950, 646, 1281, 711, 1205, 3238, 267, 1317, 1287, 1010, 1272, 19330, 3978, 1145, 563, 297, 5684, 619, 9607, 519, 2085, 6040, 1966, 540, 519, 4128, 585, 1480, 3765, 325, 28232, 607, 621, 2164, 689, 1480, 2962, 543, 849, 25701, 547, 519, 2497, 540, 519, 1158, 269, 1261, 13514, 519, 1390, 2243, 267, 799, 8952, 13059, 538, 519, 1686, 540, 6138, 281, 945, 568, 16944, 540, 519, 21379, 1952, 1465, 543, 9409, 538, 519, 1158, 267, 945, 568, 3743, 585, 621, 286, 834, 2252, 594, 6785, 519, 4098, 540, 1250, 16203, 267, 621, 1131, 1831, 16876, 543, 2057, 762, 282, 1250, 5191, 1131, 1118, 621, 2009, 547, 2057, 621, 257, 630, 303, 2862, 476, 3192, 1040, 1403, 1480, 2962, 568, 519, 2707, 540, 9409, 267, 1287, 609, 519, 2631, 540, 16203, 602, 812, 7959, 14340, 8969, 607, 547, 519, 1360, 7872, 540, 3257, 9409, 267, 799, 646, 9060, 538, 5128, 607, 2016, 282, 543, 646, 12134, 945, 568, 16944, 267, 2436, 646, 666, 581, 16944, 269, 808, 5684, 619, 262, 4661, 566, 14509, 912, 296, 917, 8885, 607, 3743, 282, 4061, 267, 594, 1590, 581, 267, 538, 930, 2631, 267, 1863, 267, 594, 1831, 16944, 269, 1809, 945, 267, 610, 1018, 267, 568, 16944, 540, 803, 1373, 1863, 538, 519, 2631, 540, 519, 7872, 3562, 1532, 22877, 28621, 14923, 267, 519, 13766, 3562, 1532, 22877, 28621, 14923, 286, 1496, 22333, 302, 476, 4391, 273, 2639, 297, 5684, 619, 10530, 1585, 2757, 8942, 547, 2626, 519, 2243, 607, 547, 519, 2014, 540, 1312, 3765, 325, 28232, 267, 543, 9409, 538, 519, 1158, 267, 5539, 585, 873, 267, 543, 849, 585, 16203, 281, 519, 737, 12609, 543, 519, 18993, 12568, 540, 20339, 267, 519, 717, 333, 8251, 2239, 593, 519, 2887, 540, 23109, 267, 519, 4168, 1612, 762, 540, 519, 1101, 3237, 15673, 539, 676, 519, 1583, 25871, 543, 27052, 609, 1163, 13955, 689, 21537, 1047, 267, 519, 13400, 1650, 540, 16763, 267, 519, 1523, 540, 2392, 652, 1588, 267, 543, 18573, 781, 9661, 540, 519, 1158, 781, 5137, 856, 540, 14784, 676, 519, 5915, 328, 25973, 282, 538, 1010, 6644, 267, 9039, 540, 891, 6436, 2488, 513, 20310, 7778, 585, 519, 6228, 540, 9409, 563, 3891, 5128, 23083, 513, 29916, 540, 19969, 630, 16446, 28727, 651, 527, 1070, 1141, 519, 4527, 540, 9409, 568, 5693, 9228, 269, 901, 19969, 3340, 519, 8226, 540, 519, 1114, 10092, 602, 1004, 3442, 543, 602, 789, 1246, 267, 8537, 540, 519, 2619, 547, 4986, 1145, 538, 519, 6612, 585, 519, 3781, 630, 8867, 573, 839, 577, 10762, 1990, 584, 715, 25638, 1040, 17607, 540, 519, 1249, 602, 891, 5079, 2291, 538, 519, 1158, 1281, 711, 1450, 585, 606, 2653, 27277, 267, 610, 585, 16765, 1582, 21873, 282, 621, 15156, 16434, 344, 2509, 835, 781, 1378, 2619, 267, 1247, 9963, 1996, 2565, 10385, 269, 808, 5684, 619, 1281, 711, 18149, 333, 713, 2619, 540, 6612, 585, 519, 3781, 267, 855, 646, 7125, 621, 519, 18418, 2299, 7118, 652, 835, 630, 323, 553, 2357, 345, 933, 604, 331, 2426, 12364, 565, 548, 21321, 4614, 1070, 3976, 23243, 621, 689, 5667, 518, 1190, 1272, 609, 1100, 9525, 269, 898, 1058, 581, 14129, 267, 2705, 267, 602, 519, 4656, 540, 519, 2619, 547, 21933, 28375, 267, 519, 2619, 540, 9552, 540, 13951, 543, 540, 519, 1866, 267, 519, 8226, 540, 621, 543, 1256, 267, 607, 646, 11099, 267, 519, 2463, 585, 621, 267, 1281, 711, 1611, 267, 538, 1010, 2070, 267, 519, 10343, 540, 1253, 25344, 543, 9844, 972, 1729, 267, 855, 2864, 6849, 873, 676, 1259, 540, 2792, 538, 513, 15962, 6560, 630, 12340, 321, 754, 523, 918, 2086, 325, 267, 623, 2862, 476, 10170, 1916, 1103, 3017, 547, 519, 23019, 2245, 540, 519, 4639, 267, 808, 5684, 619, 1281, 711, 10460, 519, 2243, 540, 519, 1158, 17082, 781, 5539, 585, 519, 1158, 267, 646, 1281, 711, 934, 2224, 2696, 267, 6862, 1281, 646, 1459, 513, 519, 617, 5390, 269, 1261, 11099, 602, 812, 3112, 16620, 10143, 3690, 345, 754, 20044, 585, 9409, 267, 607, 519, 10143, 3690, 345, 754, 20044, 3112, 581, 24565, 676, 1480, 6688, 540, 1434, 543, 9409, 269, 1280, 808, 5684, 619, 267, 593, 519, 835, 1688, 267, 519, 2347, 26968, 1464, 540, 3690, 345, 754, 20044, 267, 2147, 547, 519, 2347, 538, 1260, 11772, 2225, 540, 2696, 585, 918, 1512, 651, 8615, 731, 267, 2306, 621, 7543, 547, 1780, 5837, 10385, 538, 6688, 540, 14619, 267, 5539, 267, 543, 16203, 269, 2201, 519, 824, 1688, 267, 808, 5684, 619, 30877, 602, 519, 1480, 2631, 540, 5126, 3340, 4466, 519, 16944, 5428, 945, 666, 581, 30199, 585, 782, 519, 1158, 781, 859, 2812, 543, 782, 519, 1480, 20541, 687, 267, 607, 812, 5128, 1281, 711, 1745, 646, 568, 519, 2278, 540, 971, 513, 1158, 563, 3674, 972, 267, 1287, 267, 1100, 16944, 5428, 282, 568, 4896, 3743, 585, 9409, 538, 519, 1158, 286, 8786, 543, 1100, 269, 1284, 3314, 602, 808, 5684, 619, 4956, 569, 13187, 267, 607, 2907, 7074, 267, 602, 519, 9409, 538, 519, 1158, 568, 1483, 543, 3112, 581, 6569, 267, 543, 922, 4641, 1797, 9552, 1247, 834, 6343, 30001, 1590, 581, 1945, 2507, 13757, 547, 2291, 269, 5345, 559, 2507, 529, 1862, 514, 3294, 513, 22800, 10779, 776, 267, 621, 568, 519, 23998, 267, 799, 20555, 2390, 3294, 257, 630, 22333, 302, 476, 4391, 272, 268, 273, 1040, 1656, 1256, 5310, 267, 607, 808, 5684, 619, 4667, 547, 581, 9963, 721, 267, 621, 666, 1831, 606, 22023, 626, 1043, 1379, 269, 1717, 267, 646, 11099, 602, 5275, 519, 2959, 540, 9409, 4540, 538, 519, 1158, 12341, 3564, 713, 1158, 267, 568, 711, 20582, 689, 519, 856, 3553, 267, 585, 950, 649, 3914, 3564, 519, 1158, 547, 922, 12806, 543, 5169, 267, 649, 991, 547, 10205, 519, 546, 7081, 538, 799, 649, 5431, 543, 9794, 1919, 538, 519, 1158, 267, 1141, 834, 6343, 6818, 585, 721, 267, 543, 1018, 649, 616, 267, 568, 16135, 538, 32475, 257, 630, 22333, 302, 476, 3607, 280, 1040, 1809, 267, 2094, 693, 519, 12806, 540, 9861, 538, 3690, 345, 754, 20044, 607, 6956, 676, 808, 5684, 619, 1765, 718, 32475, 267, 610, 1727, 657, 2572, 267, 14897, 267, 649, 3112, 917, 621, 267, 607, 6616, 2141, 4386, 676, 1797, 540, 5104, 868, 777, 3789, 269, 808, 5684, 619, 6811, 602, 2696, 6487, 9444, 9409, 267, 6862, 1434, 269, 1280, 808, 5684, 619, 267, 899, 585, 18573, 267, 12142, 27596, 267, 610, 918, 1512, 651, 8615, 731, 267, 2696, 568, 3564, 9409, 269, 901, 1131, 2491, 808, 5684, 619, 262, 2070, 602, 9409, 568, 711, 6207, 538, 1915, 267, 602, 621, 568, 711, 606, 3063, 268, 614, 14111, 1379, 267, 855, 602, 621, 568, 8723, 267, 602, 568, 267, 621, 568, 1480, 543, 540, 713, 1158, 563, 297, 5684, 619, 6941, 602, 834, 5271, 559, 267, 585, 721, 267, 6013, 1369, 519, 7613, 540, 942, 2437, 4061, 649, 3112, 2307, 585, 922, 2707, 676, 1259, 540, 7432, 2509, 9861, 267, 799, 568, 3544, 942, 269, 634, 5748, 540, 9861, 568, 519, 1747, 267, 1141, 782, 2219, 13515, 267, 543, 834, 933, 616, 2451, 609, 519, 8223, 540, 519, 538, 1260, 11772, 1043, 257, 630, 22333, 302, 476, 4343, 274, 1916, 297, 5684, 619, 26136, 1256, 2417, 267, 950, 646, 2829, 602, 711, 1152, 649, 3112, 9794, 2696, 9789, 1158, 781, 5748, 267, 607, 6967 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 14674, 519, 2101, 2609, 540, 519, 9069, 1014, 16510, 543, 875, 621, 4299, 1312, 589, 1067, 785, 2103, 543, 17417, 269, 2368, 2560, 17555, 21540, 1667, 781, 9255, 538, 9085, 543, 25827, 3778, 281, 589, 22414, 269, 21887, 674, 3949, 577, 337, 3424, 24166, 12138, 5153, 7315, 1315, 10749, 547, 27254, 12138, 5153, 7315, 269, 630, 23682, 5112, 281, 8834, 10371, 9069, 1014, 2372, 514, 1417, 32418, 476, 14983, 273, 268, 1960, 273, 267, 634, 11882, 3557, 2160, 630, 18550, 476, 1960, 271, 264, 476, 1960, 278, 594, 3918, 311, 4139, 3194, 1299, 1401, 577, 5190, 8274, 9886, 269, 22436, 543, 4334, 1557, 593, 21944, 6006, 2344, 269, 21362, 1229, 12016, 3382, 4484, 16075, 1557, 282, 6476, 543, 4879, 6392, 3667, 3796, 543, 563, 15037, 476, 2767, 267, 476, 1001, 277, 5788, 6673, 5049, 666, 589, 1377, 7005, 6476, 1557, 1404, 513, 1713, 1909, 3284, 1158, 897, 3518, 1014, 5385, 1557, 538, 519, 2852, 23504, 1184, 31677, 897, 3518, 1014, 5385, 1557, 634, 1523, 540, 1702, 4346, 11876, 951, 1472, 519, 13345, 540, 1702, 543, 1344, 607, 513, 11327, 10697, 269, 901, 1062, 540, 4438, 519, 3735, 476, 9610, 271, 338, 267, 1272, 729, 2241, 585, 519, 12075, 269, 15391, 532, 267, 11018, 267, 543, 2182, 960, 10838, 519, 2367, 543, 2021, 540, 519, 11031, 729, 3811, 585, 873, 269, 9484, 476, 1321, 267, 476, 1001, 272, 5788, 700, 2329, 281, 1403, 596, 1705, 660, 2285, 803, 519, 897, 3518, 1014, 5385, 267, 2063, 3781, 1131, 557, 647, 22486, 256, 676, 7377, 11985, 19594, 476, 7597, 4728, 476, 1839, 267, 476, 1001, 275, 476, 275, 476, 1691, 269, 16179, 519, 544, 1872, 269, 476, 275, 9069, 1014, 16510, 563, 16360, 23565, 8862, 584, 1777, 1897, 326, 1040, 13354, 1557, 5098, 10959, 476, 273, 269, 737, 20393, 572, 14193, 12028, 28739, 11634, 516, 756, 523, 1547, 897, 3518, 1014, 5385, 14181, 997, 1127, 1323, 327, 5306, 630, 306, 1314, 3415, 268, 2304, 327, 5306, 1070, 2098, 592, 335, 747, 630, 22139, 9069, 1014, 16510, 4828, 4828, 9069, 1014, 16510, 4828, 543, 936, 824, 476, 1839, 267, 1822, 266, 1863, 2165, 4574, 267, 3594, 543, 1382, 4574, 1806, 616, 2139, 593, 519, 2560, 595, 4592, 2421, 267, 21238, 654, 12727, 634, 9069, 1014, 16831, 1137, 267, 519, 9069, 1014, 5385, 267, 543, 741, 12206, 630, 32487, 593, 2518, 543, 13354, 1686, 267, 6115, 476, 2735, 278, 1040, 4354, 339, 514, 269, 9069, 1014, 16510, 634, 9069, 1014, 16510, 1548, 568, 634, 9069, 1014, 16510, 286, 898, 729, 606, 5385, 540, 5370, 971, 607, 4978, 267, 2093, 267, 2831, 267, 2371, 267, 6693, 10403, 897, 3518, 1014, 5385, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 543, 9604, 269, 1496, 15912, 281, 22252, 894, 4828, 316, 476, 10482, 275, 1913, 630, 274, 269, 272, 3817, 264, 16200, 10749, 763, 897, 3518, 1014, 5385, 1557, 7734, 7734, 12261, 689, 1776, 1893, 1058, 1331, 519, 2063, 2012, 543, 1101, 3355, 540, 519, 2278, 267, 1215, 547, 1166, 7398, 899, 513, 13084, 630, 13318, 1737, 540, 3284, 721, 2229, 1557, 2055, 513, 269, 1603, 513, 3594, 1382, 3284, 1158, 13354, 1557, 5098, 1383, 1557, 1101, 3284, 20789, 24563, 336, 1557, 3732, 3284, 1158, 897, 3518, 1014, 5385, 1557, 1656, 15348, 269, 1323, 1557, 610, 1957, 593, 634, 9069, 1014, 16510, 4828, 269, 12344, 835, 540, 519, 1034, 7986, 2934, 540, 2518, 7269, 543, 3408, 602, 7018, 1282, 519, 2619, 540, 0, 289, 611, 7963, 2328, 1055, 4760, 7127, 1448, 454, 30787, 5455, 14190, 766, 585, 14068, 32124, 3590, 281, 2920, 783, 3983, 22440, 1282, 2883, 1032, 8694, 476, 4029, 5412, 616, 2854, 1055, 1996, 27108, 585, 8969, 995, 6589, 607, 5205, 281, 8786, 3143, 18391, 585, 5796, 689, 824, 1870, 5411, 286, 1215, 798, 6427, 1559, 6336, 1871, 888, 5445, 798, 713, 676, 2921, 3983, 11546, 23336, 9276, 543, 7900, 2328, 32187, 269, 589, 3983, 11546, 23336, 13258, 9027, 919, 2104, 9271, 267, 1247, 513, 2328, 11325, 568, 513, 1433, 15209, 23603, 602, 3274, 26342, 602, 513, 2530, 814, 7018, 563, 2704, 869, 766, 14301, 593, 741, 1378, 530, 326, 924, 267, 513, 2754, 781, 9946, 1058, 723, 513, 2489, 2856, 875, 1454, 540, 519, 2754, 781, 6589, 2256, 22133, 4534, 922, 5561, 262, 14222, 12014, 4534, 786, 6038, 979, 10002, 4660, 269, 19098, 4441, 2154, 602, 3549, 2226, 606, 834, 9994, 766, 257, 585, 741, 7447, 540, 1346, 796, 3712, 937, 1043, 12014, 563, 2690, 811, 593, 1603, 1055, 3983, 7963, 267, 1294, 14190, 766, 585, 8935, 23336, 995, 32439, 269, 5675, 1055, 519, 7963, 5713, 1152, 547, 2087, 519, 2754, 781, 6111, 538, 8051, 269, 898, 568, 606, 8051, 6240, 10876, 602, 7221, 616, 547, 581, 12595, 8308, 543, 1483, 12264, 269, 14190, 766, 585, 14068, 32124, 3590, 1325, 2819, 5590, 5455, 543, 9861, 13242, 281, 3733, 6075, 6976, 1018, 789, 7640, 539, 1310, 594, 1185, 2854, 621, 1055, 607, 3983, 7963, 563, 294, 611, 1383, 267, 952, 707, 2754, 781, 1995, 6645, 596, 602, 476, 272, 269, 14068, 32124, 5890, 1619, 1879, 513, 2754, 2115, 547, 1039, 547, 922, 27108, 267, 621, 1281, 865, 676, 10916, 513, 3983, 11546, 23336, 7127, 344, 585, 519, 2556, 2179, 563, 5978, 4760, 2328, 7963, 1055, 1448, 7127, 3983, 519, 5354, 454, 30860, 602, 596, 2594, 519, 3983, 11546, 23336, 13258, 4534, 543, 4061, 2569, 707, 7443, 4534, 1152, 538, 24736, 540, 5561, 17528, 547, 2628, 741, 12014, 269, 3143, 22440, 723, 2965, 8854, 3983, 2943, 269, 901, 5205, 519, 8051, 6240, 540, 11122, 32236, 281, 589, 2754, 1058, 2760, 936, 8063, 922, 7221, 267, 543, 17528, 547, 5431, 602, 1978, 6075, 12014, 4465, 1405, 581, 6976, 1131, 936, 8063, 519, 1871, 540, 6589, 2256, 22133, 267, 799, 568, 606, 10697, 563, 2237, 14114, 742, 338, 2311, 930, 1448, 513, 7963, 786, 2965, 979, 3983, 4534, 513, 6075, 786, 3111, 547, 2628, 513, 3915, 585, 1279, 2614, 602, 519, 2754, 20147, 602, 519, 2272, 568, 796, 3712, 937, 1043, 269, 1879, 602, 4523, 267, 519, 2754, 11339, 1055, 519, 7963, 563, 15187, 6589, 2256, 22133, 3788, 519, 1482, 281, 634, 2328, 11325, 3085, 1405, 2047, 1860, 707, 2754, 781, 20656, 1317, 596, 4312, 2907, 834, 10339, 10234, 257, 519, 3983, 7963, 269, 1717, 267, 596, 949, 991, 547, 1651, 584, 513, 1007, 3983, 7963, 13258, 547, 25579, 880, 737, 16067, 27108, 563, 268, 901, 10035, 786, 711, 1397, 909, 593, 1045, 7860, 952, 596, 798, 1870, 609, 873, 593, 513, 6666, 26209, 4493, 282, 2705, 267, 621, 786, 1397, 909, 538, 8638, 543, 5359, 543, 950, 596, 2824, 741, 2012, 547, 1711, 513, 6455, 11834, 563, 268, 8564, 11426, 619, 693, 519, 1283, 563, 268, 1358, 798, 713, 676, 2921, 3983, 11546, 23336, 9276, 543, 7900, 2328, 32187, 563, 32451, 4149, 332, 718, 14190, 766, 898, 781, 2009, 547, 30391, 875, 2462, 540, 606, 27108, 596, 991, 547, 2226, 585, 796, 3712, 937, 1043, 6589, 269, 898, 781, 849, 2009, 602, 606, 29099, 1804, 7963, 786, 979, 3983, 267, 11566, 519, 27108, 596, 4312, 1305, 11735, 563, 2237, 7963, 4760, 1448, 7127, 1055, 3983, 856, 454, 1103, 2901, 2013, 267, 596, 1522, 1439, 909, 2348, 547, 2328, 1055, 606, 2179, 3152, 982, 519, 1699, 3666, 540, 707, 27108, 269, 1879, 602, 4523, 267, 596, 3513, 991, 547, 5612, 2594, 513, 737, 742, 13258, 547, 1205, 707, 27108, 834, 322, 4381, 909, 2437, 543, 1287, 2328, 1055, 519, 3983, 7963, 269, 1261, 814, 8329, 547, 7330, 4653, 267, 634, 2677, 7720, 1149, 19193, 543, 14568, 23467, 543, 25052, 257, 21504, 725, 563, 30772, 267, 519, 2754, 949, 3442, 3079, 547, 3277, 519, 7963, 547, 513, 4015, 3028, 610, 547, 741, 17864, 3983, 7963, 2328, 1055, 4760, 7127, 1448, 2417, 3656, 2962, 269, 7201, 1826, 267, 795, 329, 16067, 2480, 1117, 27968, 543, 1287, 1305, 5551, 8884, 585, 519, 10959, 269, 15048, 540, 17477, 15271, 4880, 4747, 4880, 7443, 689, 519, 20677, 3948, 5222, 519, 15048, 540, 17477, 15271, 538, 1079, 2081, 269, 2201, 519, 2034, 7412, 281, 634, 2328, 11325, 3085, 1405, 2047, 1860, 707, 2754, 781, 20656, 1317, 596, 4312, 2907, 834, 10339, 10234, 257, 519, 3983, 7963, 269, 15048, 540, 2242, 538, 2883, 2990, 22418, 2095, 3948, 14068, 7963, 13258, 849, 5526, 607, 513, 1875, 6666, 13258, 6221, 593, 519, 15048, 540, 2242, 538, 2883, 2990, 22418, 2095, 3948, 563, 30560, 761, 339, 2707, 513, 19761, 4110, 689, 19537, 651, 2160, 543, 568, 13197, 606, 32233, 689, 519, 2160, 540, 19578, 269, 0, 24610, 8654, 5547, 6516, 267, 2241, 2777, 8654, 5547, 6516, 267, 2777, 8654, 5547, 11443, 6516, 267, 3366, 1753, 8654, 5547, 6516, 476, 15996, 341, 267, 3366, 1753, 8654, 5547, 6516, 454, 1103, 519, 2680, 596, 1589, 827, 519, 6516, 596, 786, 7747, 519, 5547, 3568, 519, 2599, 267, 20794, 267, 2837, 9300, 267, 10814, 267, 7132, 513, 17120, 267, 4122, 519, 2599, 1852, 9074, 269, 5600, 31786, 18065, 12810, 568, 2731, 13604, 4843, 519, 2866, 960, 543, 1287, 14764, 269, 5269, 2386, 602, 596, 946, 519, 11443, 6516, 538, 2013, 596, 1118, 519, 1034, 540, 513, 12093, 521, 935, 576, 269, 1280, 713, 2601, 267, 596, 1058, 2049, 1310, 519, 11443, 2497, 547, 581, 2111, 547, 1711, 519, 5911, 568, 16119, 593, 519, 5201, 269, 1403, 596, 23491, 519, 11443, 6516, 1369, 713, 1557, 621, 11129, 547, 1831, 3551, 269, 5600, 31786, 18065, 12810, 666, 581, 1175, 513, 16866, 2757, 3182, 3645, 6041, 540, 606, 3167, 5547, 269, 898, 2982, 519, 3334, 540, 519, 5547, 607, 16866, 5546, 267, 543, 849, 519, 5365, 543, 1379, 4296, 538, 1063, 519, 17102, 269, 4014, 1312, 1804, 993, 704, 720, 543, 6453, 949, 1611, 8594, 693, 519, 2680, 7081, 540, 513, 1379, 795, 27117, 267, 519, 2040, 540, 993, 704, 720, 2838, 547, 1205, 513, 6180, 531, 795, 27117, 666, 1599, 16434, 607, 476, 3199, 332, 288, 269, 774, 755, 515, 2362, 1459, 1223, 581, 3648, 811, 5739, 982, 2362, 6453, 282, 2705, 267, 2094, 6453, 543, 993, 704, 720, 616, 14354, 630, 514, 2829, 602, 2709, 519, 3169, 12046, 1070, 476, 8099, 341, 12992, 568, 2356, 2808, 1447, 13818, 547, 960, 609, 1317, 621, 18252, 7864, 2148, 543, 607, 971, 666, 1152, 2063, 3368, 607, 1454, 1699, 2094, 476, 13136, 341, 11443, 269, 4014, 621, 2731, 568, 513, 1249, 602, 476, 13136, 341, 2115, 1447, 1459, 547, 5838, 10502, 519, 3169, 1482, 2179, 540, 1379, 267, 607, 7074, 1657, 267, 621, 666, 1869, 4163, 513, 2603, 811, 1699, 543, 13514, 513, 2362, 1981, 540, 4049, 8194, 269, 17166, 513, 1753, 28265, 518, 786, 2154, 547, 2327, 519, 2168, 3135, 540, 5122, 19093, 543, 1769, 26892, 609, 513, 11443, 1544, 547, 2061, 7199, 2042, 543, 2679, 3009, 1055, 5151, 269, 5600, 31786, 18065, 12810, 7866, 519, 1259, 519, 12904, 616, 782, 4448, 543, 1141, 789, 1058, 4092, 3330, 519, 4890, 17102, 267, 607, 1134, 607, 519, 15629, 4296, 1063, 782, 1346, 3334, 563, 2710, 621, 3054, 12439, 946, 11443, 12222, 855, 789, 2461, 849, 1455, 538, 2777, 2679, 543, 18914, 11808, 269, 589, 11443, 6516, 568, 1175, 513, 3551, 7298, 6041, 540, 519, 15629, 4296, 543, 2168, 11768, 540, 606, 19491, 3740, 1505, 610, 5547, 269, 898, 15225, 519, 1259, 513, 3167, 12904, 616, 4448, 543, 666, 849, 1397, 1141, 3334, 543, 26892, 1223, 7654, 581, 4448, 547, 519, 3926, 269, 634, 3017, 1063, 513, 11443, 6516, 543, 1374, 1223, 581, 519, 28176, 1175, 10525, 519, 1544, 543, 1599, 547, 1205, 513, 3167, 5547, 267, 855, 568, 711, 6857, 540, 782, 519, 2168, 1374, 540, 891, 15791, 563, 25219, 559, 1125, 11443, 12222, 547, 4217, 538, 5663, 610, 2679, 519, 5547, 610, 3059, 8254, 269, 769, 1840, 267, 789, 616, 3730, 585, 1818, 18203, 269, 0, 27039, 593, 519, 4342, 749, 807, 3099, 267, 519, 2371, 786, 1332, 547, 513, 1804, 2450, 269, 1403, 711, 929, 25293, 267, 4342, 749, 807, 26965, 786, 2253, 547, 723, 5544, 1399, 18742, 543, 1804, 2127, 609, 3039, 3762, 269, 3683, 3476, 5712, 267, 519, 3039, 21364, 2127, 786, 2253, 547, 6094, 267, 4929, 1804, 2127, 540, 11953, 6565, 2208, 609, 1100, 3039, 2044, 269, 6682, 749, 5362, 616, 1655, 929, 25293, 1169, 1906, 1296, 269, 1715, 5229, 2208, 5956, 1175, 1310, 16036, 4620, 531, 2887, 269, 634, 1655, 942, 547, 32566, 513, 4342, 749, 807, 17382, 568, 1175, 1310, 16036, 4620, 531, 2887, 563, 7230, 913, 782, 7745, 543, 4666, 8371, 609, 519, 18309, 1352 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3756, 949, 581, 4483, 762, 547, 824, 2127, 540, 1272, 269, 1280, 1383, 267, 519, 8901, 7744, 1983, 2919, 998, 681, 4811, 29863, 949, 581, 3730, 538, 4610, 971, 607, 6189, 267, 4702, 267, 543, 1374, 563, 12234, 267, 519, 3818, 2389, 27965, 543, 2324, 3965, 1983, 2919, 998, 681, 4811, 29863, 949, 581, 3730, 538, 513, 3099, 540, 1164, 25774, 267, 1164, 3613, 1389, 3871, 267, 971, 607, 5883, 513, 11112, 24913, 610, 1818, 2656, 3664, 538, 513, 6433, 563, 14454, 267, 1247, 519, 2963, 568, 1869, 10169, 3908, 267, 972, 568, 930, 19583, 602, 681, 4811, 3756, 949, 4196, 607, 513, 5042, 2866, 1907, 267, 5355, 1983, 602, 616, 3407, 1312, 538, 543, 856, 540, 519, 11080, 1158, 563, 18600, 28131, 10241, 543, 8892, 3194, 19648, 454, 305, 4811, 3756, 723, 7152, 1761, 607, 5042, 2866, 2645, 267, 609, 2090, 11021, 602, 789, 666, 3986, 1585, 5042, 5759, 269, 1717, 267, 621, 568, 2629, 547, 2263, 1483, 8996, 3156, 543, 2697, 2127, 585, 2104, 1382, 547, 1174, 519, 2407, 9165, 540, 681, 4811, 3756, 685, 5042, 2640, 563, 26670, 3496, 17423, 5336, 1136, 543, 9046, 4149, 6295, 10341, 454, 305, 4811, 3756, 666, 1683, 513, 3407, 3760, 585, 5355, 3375, 6194, 543, 1966, 9010, 1983, 267, 607, 5716, 1590, 2708, 6422, 5054, 267, 6218, 2789, 3681, 267, 543, 1118, 7580, 3664, 538, 1483, 6066, 269, 1452, 1983, 616, 4483, 762, 547, 1483, 8996, 3871, 267, 971, 607, 4108, 543, 1870, 4640, 267, 543, 1223, 723, 6286, 585, 5718, 1646, 543, 28365, 4058, 563, 18719, 1324, 5564, 527, 27965, 543, 5384, 5004, 454, 305, 4811, 3756, 1419, 2154, 5716, 547, 4383, 2789, 4247, 8195, 267, 971, 607, 2679, 3889, 267, 11018, 2200, 267, 543, 4971, 532, 4559, 269, 901, 3818, 2389, 27965, 2702, 666, 581, 4294, 547, 1483, 8996, 7653, 267, 1141, 2043, 1590, 4225, 4247, 543, 21138, 942, 7561, 269, 681, 4811, 3756, 949, 267, 4061, 267, 723, 1761, 3156, 538, 2866, 585, 942, 25259, 22825, 267, 971, 607, 6595, 2533, 610, 1788, 2359, 563, 22025, 1113, 585, 15465, 29407, 454, 305, 4811, 3756, 1522, 849, 723, 1761, 3156, 538, 5042, 14317, 585, 2043, 609, 14715, 4713, 610, 7063, 269, 1635, 2502, 538, 681, 4811, 3756, 267, 891, 2043, 1223, 2259, 7580, 3206, 267, 1966, 9010, 267, 543, 3375, 6194, 267, 799, 949, 948, 547, 2087, 741, 5042, 8647, 269, 4329, 1382, 568, 2877, 547, 2263, 519, 1761, 540, 681, 4811, 3756, 607, 14317, 2645, 543, 547, 1020, 3358, 7459, 585, 1114, 3461, 5095, 563, 22091, 21505, 519, 2480, 2100, 540, 3194, 454, 4407, 519, 4540, 1382, 593, 681, 4811, 3756, 543, 5042, 5759, 2488, 3407, 4030, 267, 972, 568, 1869, 1454, 547, 581, 8268, 269, 8892, 1382, 1058, 8495, 519, 1279, 3856, 2360, 540, 681, 4811, 3014, 1404, 593, 5042, 1646, 267, 2015, 1367, 3604, 538, 1565, 6163, 543, 3014, 7375, 267, 543, 4983, 519, 1764, 540, 1114, 11964, 543, 3014, 6272, 593, 5042, 4093, 269, 3958, 267, 811, 2090, 616, 2877, 547, 3715, 21465, 3347, 1063, 681, 4811, 3014, 1404, 543, 5042, 6454, 267, 607, 1134, 607, 547, 2697, 519, 1808, 6127, 998, 799, 11080, 5540, 17133, 563, 30655, 566, 1063, 12824, 543, 10794, 3763, 619, 454, 30655, 566, 1063, 3173, 543, 3014, 9367, 568, 2629, 585, 14027, 519, 1620, 540, 681, 4811, 3756, 685, 5042, 2640, 543, 21924, 741, 1761, 607, 5042, 2866, 2645, 269, 1635, 2324, 1927, 267, 3173, 666, 1683, 4030, 883, 519, 5817, 5042, 3157, 543, 1683, 5583, 593, 3014, 1374, 2934, 602, 3986, 5042, 1646, 269, 10794, 9367, 267, 593, 519, 824, 1688, 267, 666, 6451, 891, 4030, 883, 519, 1374, 540, 1007, 3756, 610, 12189, 4540, 3756, 547, 11126, 741, 5042, 2640, 269, 901, 5698, 1223, 1291, 547, 519, 1646, 540, 811, 2500, 543, 2502, 5042, 2866, 2645, 602, 15407, 519, 2189, 2934, 540, 681, 4811, 3756, 563, 3412, 4124, 585, 31133, 619, 543, 6348, 8566, 600, 619, 1325, 833, 454, 763, 946, 540, 1483, 6066, 4640, 630, 305, 4811, 264, 3756, 607, 513, 5042, 2866, 1907, 814, 6286, 585, 1312, 32266, 543, 1875, 3766, 600, 619, 7567, 269, 1280, 32266, 267, 2502, 538, 681, 4811, 3756, 666, 1683, 606, 11791, 543, 15138, 1259, 547, 2087, 5042, 5759, 269, 1280, 1875, 3766, 600, 619, 267, 681, 4811, 3756, 949, 2709, 513, 3209, 543, 2500, 1797, 540, 7393, 5042, 1983, 602, 666, 723, 1483, 8996, 3156, 563, 19119, 585, 31133, 619, 454, 2690, 1346, 945, 2907, 2972, 4730, 681, 4811, 3756, 267, 6220, 891, 3756, 883, 513, 5042, 2866, 20786, 666, 723, 1896, 2640, 269, 3689, 267, 621, 2636, 32266, 547, 3136, 2502, 538, 513, 15908, 789, 2972, 1247, 849, 2324, 547, 2087, 741, 5042, 5759, 269, 3958, 267, 1082, 681, 4811, 3756, 616, 2966, 547, 581, 4101, 543, 2154, 7580, 3206, 267, 1966, 9010, 267, 543, 3375, 6194, 1983, 267, 782, 540, 799, 666, 581, 4824, 998, 29863, 269, 7053, 267, 930, 2090, 2303, 602, 4730, 681, 4811, 3756, 949, 723, 513, 2318, 1764, 593, 1514, 1983, 267, 607, 891, 3756, 1419, 2154, 2792, 543, 5698, 609, 824, 5716, 563, 19119, 585, 6348, 8566, 600, 619, 454, 2690, 1346, 945, 798, 711, 3335, 1404, 3381, 3756, 267, 681, 4811, 3756, 949, 2709, 513, 3209, 543, 2500, 1797, 540, 5355, 5042, 5759, 269, 2755, 2757, 5042, 2866, 3292, 666, 581, 32462, 610, 796, 15517, 532, 267, 681, 4811, 3756, 1683, 513, 811, 2502, 543, 7317, 1259, 547, 3986, 1983, 269, 3958, 267, 519, 946, 540, 681, 4811, 3756, 607, 513, 5042, 2866, 1907, 949, 9029, 547, 2043, 945, 616, 811, 6899, 609, 2029, 543, 11080, 982, 609, 2757, 2866, 2409, 563, 22025, 1113, 7464, 28131, 10241, 454, 763, 5042, 1983, 602, 666, 581, 4824, 998, 681, 4811, 29863, 723, 1483, 8996, 3156, 602, 979, 3564, 519, 11080, 1158, 269, 1280, 1383, 267, 7580, 3206, 543, 1966, 9010, 1983, 666, 581, 3730, 538, 519, 9036, 267, 1247, 3375, 6194, 1983, 666, 581, 1271, 538, 2123, 3347, 543, 824, 2127, 540, 1272, 269, 3958, 267, 1082, 681, 4811, 3756, 2154, 2792, 543, 5698, 609, 1866, 267, 799, 666, 948, 2087, 1514, 1983, 543, 1628, 6793, 3347, 563, 1103, 3932, 267, 681, 4811, 3756, 723, 519, 1761, 547, 581, 1031, 607, 513, 5042, 2866, 1907, 585, 1312, 32266, 543, 1875, 3766, 600, 619, 7567, 269, 1635, 6220, 891, 3756, 883, 513, 5042, 2866, 20786, 267, 2043, 666, 2087, 513, 2039, 540, 1983, 602, 723, 1483, 8996, 3156, 543, 2972, 513, 811, 2502, 543, 7317, 1259, 547, 3986, 741, 5042, 5759, 563, 763, 10261, 585, 4329, 3194, 454, 7212, 3875, 2090, 723, 8268, 519, 1761, 5042, 2640, 540, 1483, 6066, 4640, 630, 305, 4811, 264, 3756, 267, 972, 568, 1869, 513, 991, 585, 2417, 1382, 547, 3715, 513, 598, 5477, 3095, 1063, 29863, 543, 5042, 19349, 269, 2368, 1883, 2127, 602, 2154, 3606, 7634, 1331, 912, 268, 2552, 9776, 8097, 6272, 281, 3509, 2090, 723, 6964, 12633, 1049, 6272, 267, 799, 3112, 3715, 1757, 1275, 269, 1677, 6166, 602, 681, 4811, 3756, 1291, 547, 5042, 9283, 267, 6417, 8097, 2090, 609, 19747, 2516, 616, 2877, 563, 268, 9061, 14426, 14496, 281, 4107, 2090, 593, 681, 4811, 3756, 543, 5042, 5759, 723, 1044, 5342, 538, 5375, 2477, 267, 543, 621, 568, 15458, 2436, 519, 2164, 1131, 2489, 1125, 547, 824, 4529, 269, 4329, 1382, 2066, 3309, 5095, 568, 2556, 547, 3715, 519, 5203, 1275, 540, 1761, 5042, 2640, 563, 268, 20212, 538, 3014, 11964, 281, 2755, 681, 4811, 3756, 723, 1044, 519, 3119, 1445, 540, 5042, 1382, 267, 621, 568, 1898, 547, 8495, 2436, 824, 11964, 267, 971, 607, 1101, 16512, 9496, 619, 610, 11015, 3756, 267, 849, 1764, 5042, 5759, 269, 22414, 2090, 1223, 948, 2697, 519, 1808, 3344, 540, 681, 4811, 3756, 602, 3565, 547, 5042, 19349, 563, 268, 7043, 3856, 2360, 543, 4483, 547, 1483, 3734, 3871, 281, 4107, 2090, 723, 8947, 2110, 3856, 2360, 540, 681, 4811, 29863, 593, 5042, 5759, 269, 7043, 3856, 1246, 5346, 2090, 616, 2877, 547, 3313, 2436, 891, 2640, 6414, 543, 2436, 789, 14377, 547, 1483, 3734, 1966, 9010, 1983, 563, 268, 10572, 3604, 543, 6345, 4162, 281, 1703, 568, 513, 991, 547, 2263, 875, 1585, 6345, 4162, 267, 971, 607, 2085, 267, 4008, 267, 543, 1991, 11080, 1995, 267, 3310, 519, 1761, 5042, 2640, 540, 681, 4811, 3756, 269, 4197, 891, 2188, 1223, 948, 20688, 5042, 2866, 3292, 1210, 681, 4811, 3756, 547, 1808, 5095, 563, 268, 31469, 540, 5042, 6454, 281, 2755, 930, 2090, 723, 4857, 1761, 5042, 6127, 5817, 681, 4811, 29863, 267, 811, 1382, 568, 2877, 547, 4628, 30881, 519, 5817, 3157, 602, 1291, 547, 5042, 19349, 269, 901, 1223, 948, 538, 519, 1646, 540, 6098, 5042, 2866, 7459, 1210, 681, 4811, 3756, 563, 3528, 5466, 891, 10616, 538, 519, 1382, 267, 2104, 2090, 666, 1683, 513, 811, 3102, 1620, 540, 519, 1761, 5042, 2640, 540, 681, 4811, 3756, 543, 741, 6286, 585, 5042, 2866, 543, 19349, 563, 272, 269, 1548, 616, 1483, 6066, 4640, 3756, 888, 18600, 6066, 4640, 630, 305, 4811, 264, 3756, 616, 513, 1826, 540, 3381, 3014, 1141, 519, 6345, 8060, 543, 21314, 2200, 267, 13976, 13279, 267, 543, 1463, 338, 4559, 538, 1483, 6066, 269, 634, 3804, 568, 547, 14710, 519, 18545, 676, 2901, 14874, 741, 3490, 610, 9013, 782, 519, 13279, 593, 519, 4786, 563, 273, 269, 1215, 798, 1483, 6066, 4640, 3756, 2087, 5042, 5759, 888, 305, 4811, 3756, 666, 2087, 5042, 5759, 971, 607, 1966, 9010, 267, 3375, 6194, 267, 543, 1617, 527, 27965, 269, 1358, 2154, 5716, 547, 4383, 2200, 267, 1628, 13279, 267, 543, 1463, 4559, 1247, 849, 5464, 519, 10546, 779, 3527, 543, 1106, 6819, 513, 4640, 269, 901, 666, 2087, 5042, 5759, 676, 2810, 519, 6345, 779, 2702, 547, 1617, 527, 2532, 543, 1118, 3664, 896, 2604, 563, 274, 269, 3657, 1483, 6066, 4640, 3756, 1434, 585, 782, 6502, 888, 305, 4811, 3756, 666, 581, 10150, 676, 1004, 540, 782, 6502, 267, 855, 789, 949, 581, 811, 4101, 585, 7820, 5716, 269, 2368, 681, 4811, 3756, 949, 2270, 9921, 1543, 610, 1950, 29863, 11707, 602, 949, 711, 581, 5078, 585, 782, 6502, 269, 898, 568, 1271, 547, 2638, 519, 2085, 9993, 543, 1543, 540, 513, 3014, 1354, 3850, 1453, 547, 1404, 621, 563, 275, 269, 2052, 1483, 6066, 4640, 3756, 2087, 3965, 888, 305, 4811, 3756, 949, 2087, 3965, 676, 8506, 5716, 547, 3314, 543, 4383, 2200, 267, 1770, 5322, 267, 543, 2679, 3889, 269, 29892, 681, 4811, 3756, 949, 948, 2087, 2110, 3856, 3965, 543, 2333, 519, 6345, 779, 2702, 547, 11291, 1344, 3533, 563, 276, 269, 3657, 1483, 6066, 4640, 3756, 22925, 888, 305, 4811, 3756, 666, 581, 22925, 267, 607, 789, 2154, 5716, 547, 7683, 6895, 543, 4383, 741, 3490, 543, 4559, 269, 2368, 5716, 949, 6108, 1279, 5712, 540, 942, 4730, 681, 4811, 3756, 267, 10714, 532, 824, 2238, 269, 898, 568, 1271, 547, 1404, 681, 4811, 3756, 538, 20208, 543, 547, 1491, 9397, 547, 2057, 8213, 563, 277, 269, 2052, 1483, 6066, 4640, 3756, 2087, 1688, 31378, 11558, 888, 305, 4811, 3756, 949, 2087, 1688, 31378, 11558, 676, 8506, 5716, 547, 4945, 593, 4559, 543, 5656, 267, 1847, 519, 23684, 547, 2824, 12981, 267, 543, 4383, 2789, 9486, 543, 27487, 269, 29892, 681, 4811, 3756, 949, 2333, 519, 6345, 779, 2702, 547, 11282, 741, 3946, 543, 4064, 547, 1685, 1950, 4247, 563, 278, 269, 3657, 1483, 6066, 4640, 3756, 7199, 888, 5278, 681, 4811, 3756, 949, 581, 7199, 267, 2523, 952, 789, 616, 1007, 13847, 610, 2097, 609, 3606, 1543, 269, 1717, 267, 972, 616, 1082, 1863, 543, 1970, 21057, 681, 4811, 3756, 2139, 602, 2709, 2147, 29863, 2833, 269, 898, 568, 1271, 547, 1382, 543, 5635, 5777, 1354, 11449, 606, 681, 4811, 3014, 563, 279, 269, 2052, 1483, 6066, 4640, 3756, 581, 5129, 2228, 888, 6624, 681, 4811, 3756, 2709, 2228, 3818, 16651, 12331, 267, 3850, 5716, 547, 14526, 1996, 1866, 689, 1472, 519, 1158, 269, 29892, 681, 4811, 3756, 2228, 666, 2087, 1514, 1983, 543, 16542, 267, 607, 5716, 1590, 5968, 543, 28111, 609, 1142, 824, 547, 3035, 11802, 563, 280, 269, 3657, 1483, 6066, 4640, 3756, 1732, 593, 7193, 610, 23641, 888, 305, 4811, 3756, 616, 3335, 1732, 593, 7193, 267, 607, 789, 2154, 5730, 10856, 5322, 543, 13691, 11378, 269, 1717, 267, 930, 681, 4811, 3756, 616, 2139, 593, 931, 3421, 543, 666, 581, 5129, 609, 513, 17120, 269, 898 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1158, 540, 16429, 21358, 267, 513, 23792, 16930, 5678, 630, 9169, 299, 264, 3710, 1210, 519, 25007, 5752, 1893, 269, 6969, 11362, 883, 519, 25727, 540, 16429, 21358, 267, 1577, 781, 1101, 1174, 1946, 667, 20784, 338, 616, 1898, 543, 875, 789, 8428, 689, 2489, 26928, 4654, 971, 607, 5124, 267, 10084, 267, 610, 595, 10030, 269, 589, 667, 20784, 568, 2966, 547, 4194, 2042, 1369, 513, 1880, 6389, 267, 1818, 621, 4443, 585, 9367, 547, 2769, 741, 15752, 5693, 543, 13801, 569, 269, 901, 1445, 2636, 667, 20784, 3755, 547, 960, 811, 7561, 676, 4227, 5042, 4452, 543, 10893, 15245, 30066, 3009, 780, 305, 889, 344, 568, 606, 17715, 1843, 15129, 7097, 532, 1893, 1634, 585, 922, 16134, 543, 31824, 269, 634, 17082, 267, 962, 25431, 6062, 549, 631, 1846, 636, 9369, 267, 6322, 547, 1628, 513, 1893, 602, 5433, 2067, 267, 3850, 23501, 547, 2328, 3009, 602, 8272, 549, 1042, 1480, 2792, 3270, 269, 1306, 596, 2263, 16429, 21358, 267, 596, 786, 1294, 891, 7907, 10630, 538, 922, 1374, 780, 3086, 267, 1577, 781, 2490, 938, 3007, 4481, 547, 16429, 21358, 269, 715, 3139, 1310, 7671, 16429, 21358, 1813, 547, 922, 2702, 547, 1412, 4777, 1919, 922, 1378, 1259, 10086, 16429, 21358, 6087, 4028, 1646, 540, 1357, 3156, 543, 29026, 269, 4706, 1507, 2450, 1765, 21671, 827, 1079, 8536, 3515, 540, 3009, 1765, 332, 1389, 1565, 543, 13215, 621, 24276, 1369, 513, 2582, 19496, 269, 6736, 922, 11527, 5737, 588, 1155, 267, 16429, 21358, 24502, 3833, 513, 24362, 267, 5356, 3875, 2934, 2556, 585, 2679, 7347, 1357, 2533, 780, 4263, 922, 4295, 267, 16429, 21358, 5205, 513, 2241, 7662, 268, 24978, 2203, 269, 1879, 7218, 6494, 26824, 13668, 267, 707, 3498, 11392, 1346, 13668, 267, 3157, 873, 267, 543, 7024, 3617, 6114, 269, 1677, 6023, 13668, 3927, 267, 16429, 21358, 18252, 23332, 3652, 1765, 335, 16993, 1031, 547, 6474, 19670, 15745, 10092, 543, 7222, 3527, 3144, 950, 13292, 2049, 269, 2913, 781, 1491, 513, 6251, 1413, 693, 23332, 543, 824, 4909, 3344, 540, 16429, 21358, 780, 1262, 305, 719, 532, 4373, 1103, 16429, 21358, 267, 11507, 5581, 544, 1952, 902, 1063, 15745, 2619, 3270, 543, 3625, 1289, 10587, 13401, 2390, 12805, 269, 6333, 519, 1739, 1383, 1384, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 17829, 7516, 2443, 7132, 1152, 513, 16434, 9386, 547, 519, 561, 13903, 2443, 1118, 585, 513, 4585, 602, 18795, 30326, 855, 711, 7938, 792, 2406, 593, 519, 21015, 269, 2060, 10323, 309, 2894, 15709, 2839, 17751, 607, 513, 6216, 649, 1616, 547, 1711, 543, 6655, 513, 1272, 10182, 602, 4564, 5609, 1356, 640, 267, 25273, 267, 13784, 267, 543, 2463, 269, 1284, 4941, 547, 1711, 606, 1604, 1141, 649, 2972, 1018, 649, 798, 543, 3295, 6000, 609, 1004, 649, 899, 547, 798, 621, 269, 1773, 11294, 636, 568, 1776, 1390, 2848, 953, 268, 17314, 1570, 269, 594, 3576, 519, 726, 25128, 543, 10093, 1406, 6743, 1394, 269, 4563, 543, 7108, 19045, 717, 27691, 1442, 476, 13975, 271, 543, 476, 28794, 271, 623, 4202, 585, 9093, 543, 6468, 20606, 476, 4029, 267, 476, 1708, 273, 1703, 779, 1100, 1259, 594, 1223, 3035, 1018, 594, 4941, 538, 3723, 344, 267, 952, 594, 4769, 1406, 3398, 519, 1268, 602, 594, 993, 267, 543, 14955, 3431, 2648, 519, 1268, 594, 993, 269, 1703, 616, 17498, 1938, 547, 1166, 6235, 519, 3350, 540, 1576, 282, 1247, 519, 8792, 543, 5662, 3946, 666, 581, 6410, 3362, 2614, 267, 519, 1482, 666, 1406, 581, 1767, 540, 519, 2034, 1688, 267, 799, 568, 2965, 15841, 593, 519, 1394, 269, 898, 779, 7298, 998, 922, 1378, 14266, 6885, 1107, 543, 2016, 922, 1378, 23678, 1386, 24421, 10309, 547, 18849, 1107, 855, 621, 779, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 514, 21358, 257, 607, 851, 540, 834, 28035, 1315, 19932, 1315, 25007, 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, 1546, 3712, 517, 1944, 1290, 545, 3883, 3778, 692, 7072, 912, 5970, 596, 2479, 8068, 875, 13371, 2835, 543, 8642, 9089, 666, 2995, 5863, 2984, 998, 1312, 1913, 543, 5961, 286, 1280, 1082, 1296, 267, 1498, 267, 519, 3197, 543, 15888, 538, 891, 5686, 540, 12326, 941, 6140, 3043, 2367, 269, 1809, 2053, 723, 4957, 267, 543, 1631, 649, 2811, 7487, 811, 3309, 3197, 543, 15888, 982, 2479, 1354, 256, 901, 568, 1018, 649, 1289, 28160, 1944, 13371, 1433, 1686, 1107, 621, 1797, 1818, 2386, 602, 1004, 540, 782, 10080, 616, 6719, 9425, 543, 8308, 538, 14676, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 4089, 476, 272, 281, 4197, 16690, 1436, 543, 23830, 538, 22383, 454, 8624, 517, 1436, 4016, 547, 950, 3532, 2477, 1491, 1852, 936, 824, 3338, 543, 4529, 267, 1419, 8156, 519, 2199, 1004, 15490, 569, 269, 19759, 569, 267, 17091, 814, 6766, 1082, 3344, 540, 938, 2486, 267, 1519, 13371, 2835, 269, 25214, 267, 1034, 13371, 1433, 3197, 543, 15888, 3357, 689, 5375, 267, 4853, 1242, 6082, 267, 799, 5921, 602, 1875, 8862, 3480, 4529, 14201, 1405, 18113, 6719, 269, 1546, 3712, 517, 1944, 13371, 1433, 1686, 6663, 547, 2953, 713, 19261, 676, 4758, 5639, 547, 26173, 2516, 543, 4180, 741, 2984, 616, 5143, 6461, 1227, 780, 4089, 476, 273, 281, 27915, 31875, 910, 28038, 1715, 16992, 543, 6282, 832, 454, 3080, 1259, 547, 28160, 1125, 13371, 1433, 1686, 568, 676, 10962, 1007, 267, 3309, 3197, 269, 1452, 1522, 1331, 3197, 540, 1114, 14797, 267, 25469, 267, 10764, 267, 5759, 267, 543, 14227, 10080, 269, 1635, 2348, 513, 2647, 3099, 540, 23233, 267, 21087, 1235, 267, 543, 2427, 330, 6506, 267, 14676, 1831, 811, 11541, 543, 4277, 547, 513, 6626, 5304, 269, 6684, 267, 8716, 543, 5009, 15888, 689, 1585, 10080, 5849, 602, 8076, 9739, 5397, 1650, 1646, 543, 1915, 5137, 780, 7078, 281, 21919, 8403, 16679, 267, 849, 1634, 607, 15516, 269, 31733, 267, 568, 513, 9735, 1383, 540, 513, 1007, 1915, 18220, 532, 4763, 269, 2701, 781, 513, 9031, 328, 1977, 21717, 2713, 538, 14948, 4975, 267, 10188, 1200, 1272, 1247, 7231, 609, 15705, 11645, 269, 4173, 4367, 4547, 4195, 5380, 543, 7722, 9118, 11655, 945, 1223, 6368, 1294, 2933, 10630, 538, 14676, 780, 4089, 476, 274, 281, 4825, 2454, 543, 25166, 3876, 1401, 12371, 12267, 454, 5194, 1505, 540, 28160, 1944, 13371, 1433, 1686, 3322, 20460, 1746, 3964, 3197, 543, 6386, 855, 1427, 2454, 873, 689, 1114, 16752, 269, 12465, 12325, 949, 1205, 8242, 1394, 560, 1559, 602, 11760, 19525, 781, 1764, 610, 2263, 4798, 4143, 547, 12790, 2950, 269, 6884, 267, 5929, 5636, 1622, 616, 5368, 1203, 539, 547, 4161, 11475, 543, 1683, 13857, 28402, 780, 7078, 281, 9823, 22383, 5950, 513, 1295, 529, 7685, 1572, 834, 763, 26499, 540, 24090, 19716, 2437, 2854, 676, 11412, 2801, 1546, 700, 714, 269, 901, 4528, 540, 667, 10005, 13584, 688, 2812, 689, 513, 1319, 686, 1105, 531, 2486, 5059, 593, 4708, 2864, 982, 2112, 269, 3414, 713, 2847, 2086, 267, 1546, 700, 714, 7710, 15594, 4798, 543, 2488, 513, 2189, 8095, 593, 519, 11599, 5869, 710, 780, 4089, 476, 275, 281, 18964, 32213, 27884, 13756, 454, 2414, 5963, 28160, 1125, 13371, 1433, 1686, 267, 3025, 3238, 1590, 9784, 8537, 2853, 269, 19536, 267, 5159, 267, 15769, 267, 543, 21101, 991, 547, 2015, 6041, 538, 1169, 2460, 540, 2504, 269, 1358, 666, 5077, 2686, 4966, 267, 12840, 609, 2146, 2818, 267, 543, 3343, 5955, 689, 26173, 9458, 547, 2327, 4977, 543, 16614, 11269, 269, 3958, 267, 3872, 2200, 899, 713, 1837, 666, 948, 3262, 4656, 827, 519, 2956, 540, 4129, 4328, 13371, 2835, 780, 6962, 912, 3528, 1620, 543, 5466, 519, 3140, 3668, 540, 6041, 1369, 13371, 2835, 267, 649, 666, 8362, 7119, 538, 28160, 1944, 13371, 1433, 1686, 269, 1306, 11655, 267, 15888, 267, 543, 15156, 267, 649, 1590, 3136, 5885, 3309, 3197, 543, 15888, 547, 1628, 513, 17321, 2104, 4904, 609, 9159, 2984, 14120, 519, 5898, 540, 938, 15491, 1158, 269, 1924, 979, 6619, 543, 4584, 909, 930, 8642, 9089, 10023, 26173, 3197, 543, 4589, 282, 789, 786, 15983, 10802, 707, 2542, 1995, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 2487, 2376, 538, 23255, 28315, 11331, 968, 4467, 923, 4813, 1846, 3619, 8479, 518, 892, 8711, 1175, 835, 540, 519, 4128, 602, 7855, 543, 7172, 12579, 616, 2679, 10070, 540, 8642, 9089, 547, 3077, 1007, 3988, 269, 634, 4062, 26564, 27239, 5839, 303, 1667, 517, 267, 1453, 779, 543, 7141, 2533, 4717, 13541, 693, 519, 28635, 5448, 5244, 630, 27746, 1633, 264, 7732, 267, 607, 1352, 4967, 602, 519, 3898, 779, 968, 5793, 323, 11163, 1063, 1257, 543, 1148, 2306, 8642, 9089, 3226, 3617, 585, 2038, 3988, 3034, 2080, 267, 2278, 543, 3879, 15249, 15537, 1744, 2532, 534, 12909, 609, 23436, 18409, 731, 827, 1010, 1378, 15131, 585, 519, 8642, 3209, 779, 4819, 7888, 3898, 543, 922, 2702, 547, 3986, 5396, 2066, 519, 6437, 563, 303, 14040, 543, 570, 23147, 281, 7454, 9549, 17451, 256, 2443, 1492, 2034, 2140, 538, 707, 8642, 3209, 3126, 585, 7820, 3988, 1765, 322, 877, 856, 693, 519, 1439, 540, 5130, 267, 543, 623, 14040, 543, 570, 23147, 281, 8111, 5025, 342, 13135, 1290, 545, 256, 2501, 856, 4864, 476, 1015, 628, 269, 898, 779, 2312, 707, 3126, 568, 1134, 4607, 676, 2038, 3988, 543, 519, 7855, 945, 960, 609, 873, 269, 1548, 14405, 596, 607, 513, 17082, 547, 519, 8642, 3209, 1106, 320, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13356, 20325, 1944, 1290, 545, 3883, 3778, 257, 607, 851, 540, 834, 26376, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 16844, 1299, 5564, 12734, 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, 14914, 17378, 15391, 338, 910, 589, 8342, 10158, 547, 8081, 3776, 7991, 2439, 5970, 596, 2479, 4862, 540, 606, 14914, 4212, 6968, 286, 898, 781, 513, 1187, 543, 3078, 2534, 1141, 1004, 3406, 585, 6456, 5798, 267, 2356, 4904, 609, 13000, 610, 1507, 9162, 267, 593, 14914, 10732, 269, 1809, 1705, 596, 917, 602, 14914, 4212, 6968, 338, 666, 849, 4196, 607, 9735, 3255, 547, 6318, 2724, 585, 1271, 3123, 543, 3142, 2950, 1927, 286, 2913, 781, 2263, 875, 891, 2621, 960, 543, 1946, 789, 616, 1898, 585, 5885, 938, 2199, 1347, 885, 543, 18758, 3906, 2439, 1432, 568, 606, 14914, 4212, 6968, 2508, 571, 16014, 888, 5785, 19030, 2304, 14914, 4212, 6968, 2508, 571, 16014, 10905, 2757, 4212, 10122, 609, 2609, 540, 24960, 344, 543, 2146, 9525, 269, 5029, 9088, 12404, 10477, 5068, 5798, 5627, 17914, 610, 10881, 3079, 540, 31496, 610, 9162, 269, 19893, 1287, 3406, 585, 891, 5798, 543, 28099, 655, 741, 9060, 585, 986, 742, 548, 26065, 610, 4194, 13410, 3056, 873, 6251, 547, 10888, 2027, 17758, 269, 1635, 12123, 16075, 12375, 543, 9513, 3606, 3688, 971, 607, 1426, 267, 10425, 267, 610, 13492, 1282, 519, 2680, 267, 25696, 5352, 7482, 585, 1585, 1434, 3123, 780, 1692, 1281, 621, 4324, 1250, 2146, 888, 28598, 3528, 10283, 538, 606, 14914, 4212, 6968, 2508, 571, 16014, 267, 596, 948, 1489, 3407, 7341, 1369, 707, 1378, 8378, 269, 1160, 12923, 6659, 998, 19044, 6455, 543, 23190, 1419, 979, 2509, 3506, 267, 10506, 267, 2825, 3785, 267, 543, 824, 26656, 18129, 269, 1452, 2621, 6536, 23274, 1851 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1164, 6760, 3928, 269, 10201, 622, 11507, 666, 948, 4225, 10930, 3681, 563, 8368, 281, 18948, 540, 10374, 652, 27953, 5288, 269, 10201, 622, 27953, 454, 347, 27832, 2693, 547, 2057, 454, 347, 5415, 2693, 547, 2057, 454, 3528, 5356, 8925, 3564, 519, 2757, 20125, 2619, 1935, 267, 15870, 12445, 3301, 2488, 3755, 609, 811, 1852, 936, 741, 15322, 269, 901, 8112, 6087, 10256, 547, 3082, 741, 11507, 2687, 547, 8795, 6381, 543, 2123, 7375, 269, 769, 519, 1739, 3296, 267, 649, 786, 2263, 2994, 585, 17306, 8905, 4058, 267, 1519, 875, 547, 15407, 14595, 11507, 3927, 563, 8139, 519, 2956, 540, 4244, 11507, 538, 15870, 12445, 3301, 23933, 519, 5748, 585, 3695, 2500, 2994, 585, 17306, 8905, 4058, 563, 25618, 625, 585, 17306, 8905, 4058, 454, 9558, 819, 532, 12347, 689, 519, 2591, 5185, 538, 8159, 519, 20125, 8905, 267, 649, 1631, 5490, 883, 2994, 602, 666, 3986, 519, 11938, 540, 8905, 4058, 269, 1677, 9414, 891, 2994, 267, 1577, 721, 2015, 513, 19858, 9183, 1141, 606, 1367, 2115, 547, 2951, 689, 4975, 589, 547, 4975, 645, 1282, 8445, 3108, 563, 3080, 1455, 4640, 6964, 676, 15870, 12445, 3301, 568, 6236, 14595, 11507, 1759, 593, 1483, 6066, 6808, 10311, 543, 3140, 1239, 269, 1635, 7421, 20316, 3270, 267, 10913, 267, 543, 4155, 5008, 999, 267, 519, 3301, 666, 2303, 4244, 10092, 602, 949, 581, 1447, 7249, 6479, 610, 723, 10156, 2951, 2053, 269, 1280, 1383, 267, 952, 972, 568, 5230, 6808, 593, 519, 1292, 19814, 8220, 4975, 589, 543, 4975, 645, 267, 519, 3301, 1522, 15974, 2921, 4130, 2427, 9897, 610, 1210, 6252, 11507, 547, 21271, 20316, 563, 2414, 11126, 8905, 4058, 2417, 267, 15870, 12445, 3301, 16621, 4359, 6620, 602, 9260, 1114, 2188, 8195, 269, 1452, 6620, 1491, 883, 2272, 4632, 971, 607, 3845, 267, 6059, 942, 540, 12625, 630, 4953, 288, 1070, 4492, 4398, 267, 17167, 3790, 267, 543, 3593, 7375, 269, 1635, 9256, 891, 2188, 4111, 1836, 998, 1950, 26398, 267, 519, 3301, 12958, 2789, 20979, 11507, 585, 3755, 547, 3442, 689, 563, 763, 7145, 540, 891, 2994, 666, 18427, 1585, 4664, 538, 3755, 5275, 3608, 12445, 3435, 912, 268, 28057, 281, 20305, 1995, 8323, 950, 789, 616, 4843, 609, 4244, 11507, 1282, 5230, 6808, 2175, 563, 268, 30151, 281, 634, 10014, 540, 1483, 6066, 6808, 10311, 1128, 1571, 6015, 538, 3755, 676, 1028, 1005, 873, 602, 741, 6074, 2619, 568, 7683, 1373, 11117, 585, 1761, 5688, 3074, 563, 268, 21252, 281, 26659, 2934, 899, 661, 14011, 9273, 543, 4492, 18026, 23332, 1683, 3755, 609, 513, 2631, 540, 4398, 543, 1942, 13716, 4369, 563, 268, 25085, 618, 281, 5510, 1359, 2789, 20979, 11507, 16877, 3755, 609, 5079, 543, 1852, 936, 741, 3460, 563, 347, 18600, 6066, 29853, 5455, 30098, 454, 347, 15307, 13846, 5384, 540, 27336, 2526, 630, 4953, 288, 994, 347, 8248, 864, 540, 2247, 454, 1103, 3932, 267, 519, 946, 540, 15870, 12445, 3301, 538, 17306, 8905, 4058, 568, 513, 3407, 1907, 585, 17631, 269, 1635, 6220, 2994, 971, 607, 6236, 14595, 11507, 543, 9001, 4359, 6620, 267, 891, 3301, 3435, 3986, 4398, 543, 1683, 3755, 609, 3681, 547, 6330, 7249, 6479, 2127, 811, 3927, 269, 1452, 2934, 18427, 4664, 8151, 689, 8323, 543, 6015, 547, 4606, 540, 16882, 543, 4398, 538, 3755, 5275, 6099, 2951, 2833, 269, 0, 5472, 1032, 5180, 267, 938, 9640, 262, 4761, 1949, 616, 16271, 547, 519, 6574, 7569, 281, 2566, 540, 782, 5686, 267, 4551, 267, 8290, 630, 324, 3052, 269, 519, 1226, 710, 15601, 3644, 630, 292, 295, 309, 264, 543, 519, 1226, 710, 14798, 3644, 264, 543, 13271, 1590, 581, 2036, 730, 269, 32130, 262, 4761, 23640, 616, 849, 1271, 950, 621, 2501, 547, 28530, 4598, 547, 2825, 14107, 543, 7067, 16398, 563, 2467, 616, 2614, 4128, 547, 1489, 938, 9640, 262, 4761, 1949, 538, 741, 960, 269, 4595, 5393, 1950, 7569, 616, 5116, 593, 519, 7504, 781, 4761, 1062, 267, 789, 616, 8200, 593, 606, 7850, 3761, 540, 8324, 543, 10250, 2609, 269, 0, 6826, 5765, 811, 3860, 543, 6896, 3322, 3384, 1978, 6208, 267, 8186, 1115, 267, 543, 2994, 269, 1635, 6220, 891, 2790, 5751, 543, 10721, 2994, 883, 707, 3232, 6296, 267, 596, 666, 3986, 707, 5759, 547, 581, 513, 811, 5499, 543, 11327, 1966, 24626, 563, 763, 1158, 779, 2551, 5170, 547, 1332, 267, 2870, 606, 14849, 991, 585, 1426, 543, 513, 811, 3608, 1259, 540, 8105, 269, 1677, 2743, 891, 29476, 267, 2221, 779, 6705, 616, 7432, 547, 2029, 267, 3226, 6694, 11608, 269, 16581, 11608, 616, 4730, 606, 5051, 2629, 1909, 538, 13321, 2757, 8105, 2409, 883, 4264, 267, 3608, 4238, 269, 1452, 11608, 616, 4543, 6705, 2232, 4074, 22520, 543, 2087, 4398, 269, 589, 1076, 547, 960, 1472, 519, 9219, 7900, 32462, 4247, 602, 1131, 6382, 581, 4074, 25673, 543, 942, 21791, 282, 789, 616, 1818, 513, 10565, 1764, 593, 7607, 563, 11754, 1112, 633, 543, 3110, 3770, 3059, 19240, 6565, 689, 811, 982, 1175, 2029, 269, 31071, 2528, 630, 514, 1880, 267, 519, 968, 531, 1811, 593, 892, 2528, 1070, 1514, 8155, 267, 543, 1367, 5615, 782, 3565, 547, 2486, 781, 8213, 547, 3059, 19240, 269, 3367, 6215, 11691, 519, 7913, 24251, 547, 3605, 875, 3059, 19240, 616, 27560, 707, 942, 563, 2414, 723, 519, 2953, 5133, 593, 2029, 267, 649, 1590, 1174, 711, 1152, 875, 2029, 568, 4657, 267, 855, 875, 2029, 568, 4657, 721, 563, 5472, 540, 721, 4440, 723, 16618, 2576, 779, 2012, 16172, 1310, 649, 4076, 1044, 5189, 269, 1403, 596, 941, 12394, 547, 1118, 513, 1434, 12705, 593, 602, 1268, 267, 30534, 1010, 17017, 2012, 568, 513, 2101, 535, 14513, 32488, 269, 901, 2376, 6799, 513, 11455, 1935, 547, 2634, 1072, 543, 2790, 14242, 676, 18167, 883, 513, 2370, 2257, 543, 6530, 827, 519, 2247, 543, 3965, 2530, 267, 3268, 596, 666, 1491, 547, 2226, 513, 2635, 2634, 267, 543, 2553, 547, 11677, 543, 11291, 1344, 563, 5715, 529, 1584, 2406, 267, 968, 6618, 2032, 892, 547, 513, 3984, 540, 3156, 543, 3457, 3091, 1761, 547, 2087, 1004, 779, 2729, 269, 1284, 666, 798, 5863, 1919, 267, 899, 2070, 519, 3330, 540, 938, 14023, 2209, 689, 519, 2706, 21466, 267, 20716, 1852, 10760, 19025, 547, 5838, 15004, 267, 1294, 543, 3717, 547, 1004, 593, 519, 824, 2427, 540, 519, 1158, 630, 514, 1483, 942, 543, 593, 938, 2281, 11436, 267, 9039, 7308, 268, 1652, 1070, 543, 23074, 5318, 5666, 540, 1344, 538, 7643, 269, 0, 294, 565, 836, 1893, 267, 849, 1634, 607, 3619, 267, 568, 513, 2442, 543, 2413, 5752, 1893, 602, 729, 2919, 676, 5616, 8030, 7917, 717, 1845, 655, 518, 267, 7605, 623, 833, 267, 543, 8230, 16399, 269, 898, 568, 606, 1930, 21299, 1893, 602, 10905, 519, 8897, 540, 946, 540, 6422, 4654, 609, 519, 2773, 543, 3106, 540, 2493, 1227, 268, 1399, 6244, 4654, 269, 30110, 836, 568, 2966, 547, 581, 2241, 267, 13801, 267, 543, 3608, 267, 1818, 621, 513, 11684, 4781, 585, 1585, 3156, 538, 519, 2361, 540, 1344, 2029, 563, 294, 565, 836, 729, 1101, 5189, 538, 476, 1220, 280, 543, 814, 6591, 1713, 20086, 538, 519, 3301, 1646, 2146, 2094, 1287, 269, 898, 729, 2813, 607, 513, 3210, 547, 519, 2591, 5185, 676, 5616, 538, 2679, 1804, 8397, 267, 6325, 267, 543, 3608, 3301, 1949, 269, 634, 1893, 729, 5097, 2919, 547, 2087, 7607, 543, 25382, 267, 2523, 538, 519, 2796, 540, 21276, 543, 6252, 5752, 563, 268, 3244, 13109, 281, 30110, 836, 11363, 16134, 543, 31824, 267, 609, 513, 4130, 1305, 540, 1893, 21437, 543, 513, 2312, 543, 13801, 16105, 269, 901, 16134, 2636, 9367, 547, 2328, 2973, 543, 2226, 762, 3009, 267, 4227, 3181, 19982, 942, 543, 1818, 519, 3009, 19668, 811, 19242, 563, 268, 1230, 2017, 6275, 281, 30110, 836, 814, 3710, 2987, 1489, 585, 21276, 5752, 267, 7175, 3608, 13345, 540, 3818, 2275, 648, 543, 3060, 539, 6191, 269, 4706, 17426, 27580, 719, 1149, 543, 9055, 1118, 621, 2653, 547, 2328, 21276, 543, 27249, 3156, 267, 1818, 621, 4998, 585, 2679, 7746, 20933, 543, 7856, 1949, 563, 268, 13437, 281, 30110, 836, 568, 12021, 585, 922, 11141, 2773, 269, 898, 735, 3796, 547, 3684, 3009, 267, 4611, 538, 3810, 3608, 543, 3728, 8573, 7342, 3292, 269, 634, 1893, 779, 20203, 4015, 7271, 543, 20979, 28094, 1184, 3565, 547, 922, 11108, 2773, 4162, 563, 268, 8881, 281, 30110, 836, 8992, 2922, 5752, 2853, 676, 5356, 2178, 17511, 543, 3965, 3106, 2934, 269, 898, 2882, 11979, 17511, 267, 799, 2337, 6952, 6959, 693, 29289, 6066, 267, 4227, 519, 7872, 540, 678, 29025, 26301, 543, 12961, 269, 3958, 267, 30110, 836, 779, 3965, 2359, 1062, 8850, 20362, 20203, 4015, 267, 14874, 519, 991, 585, 8261, 3965, 2359, 563, 294, 565, 836, 814, 1336, 3156, 538, 1585, 2127, 540, 519, 8668, 2872, 267, 19962, 547, 922, 2189, 1305, 540, 2934, 543, 5383, 563, 268, 5680, 4886, 281, 30110, 836, 568, 1134, 25252, 1243, 585, 2679, 1357, 3156, 267, 7064, 547, 922, 1489, 585, 21276, 5752, 267, 8897, 540, 17293, 267, 543, 3608, 7829, 540, 3060, 4296, 269, 898, 7060, 1896, 1164, 26024, 1357, 13763, 267, 10850, 267, 543, 31442, 26236, 25121, 563, 268, 7010, 14691, 281, 30110, 836, 779, 1970, 7400, 7207, 543, 3608, 678, 29025, 1118, 621, 513, 9053, 3903, 585, 1062, 7400, 5752, 269, 898, 568, 4922, 1031, 538, 2679, 5665, 1949, 267, 3060, 2533, 267, 543, 5989, 2645, 563, 268, 13192, 17270, 281, 30110, 836, 779, 17426, 27580, 719, 1149, 543, 1489, 585, 2679, 21276, 1949, 1118, 621, 606, 5140, 3903, 585, 3384, 6531, 2861, 3156, 543, 2533, 269, 898, 814, 6591, 8560, 1369, 519, 8061, 302, 1186, 2146, 585, 922, 16134, 543, 25382, 563, 268, 8262, 4578, 543, 24630, 281, 30110, 836, 779, 2773, 543, 598, 2017, 6275, 2934, 1118, 621, 1134, 25252, 1243, 585, 4393, 1804, 12531, 540, 1239, 543, 2679, 1239, 25673, 3156, 269, 898, 568, 1419, 1031, 538, 14966, 609, 824, 2645, 543, 10850, 585, 7856, 1239, 4393, 543, 12642, 563, 294, 565, 836, 267, 610, 3619, 267, 3091, 513, 8903, 3070, 585, 2413, 3301, 1646, 269, 2060, 922, 16134, 267, 3608, 598, 2017, 6275, 267, 2773, 267, 543, 3106, 2934, 267, 621, 814, 6591, 1713, 8560, 538, 1585, 2127, 540, 519, 8668, 2872, 269, 1306, 513, 11684, 543, 3532, 5752, 1893, 267, 30110, 836, 5170, 547, 4228, 922, 4527, 267, 19788, 9367, 2066, 1114, 11890, 945, 3343, 7607, 543, 25382, 538, 741, 3785, 269, 0, 16248, 2010, 540, 1599, 7515, 1142, 609, 1079, 2157, 540, 3211, 2154, 6267, 538, 3446, 476, 279, 543, 1164, 1153, 547, 4729, 519, 2798, 543, 3113, 519, 3515, 269, 5131, 7792, 3211, 609, 2626, 10569, 593, 5276, 4834, 1519, 4466, 9386, 9386, 18448, 1106, 3830, 689, 476, 273, 2798, 689, 476, 272, 1448, 543, 9386, 543, 811, 563, 30791, 4834, 1106, 513, 4493, 585, 2362, 6128, 543, 891, 3211, 786, 4628, 5965, 1053, 585, 2979, 543, 2257, 1967, 563, 30791, 3252, 4976, 269, 476, 274, 476, 1015, 476, 273, 476, 280, 476, 278, 476, 275, 476, 1626, 476, 1556, 476, 866, 476, 1321, 1265, 519, 9386, 540, 1142, 1899, 269, 661, 12915, 3446, 543, 1164, 1153, 1053, 2744, 2259, 538, 7114, 543, 23243, 1063, 513, 5276, 543, 513, 22357, 1599, 4843, 607, 4834, 11708, 543, 7515, 269, 11426, 1125, 519, 3211, 547, 1331, 835, 1900, 1079, 1900, 610, 3818, 1900, 4834, 4756, 593, 1312, 5011, 2385, 4185, 543, 811, 563, 20877, 532, 5276, 1599, 3211, 713, 3573, 1305, 540, 7824, 3211, 2882, 5751, 593, 24275, 5276, 1599, 676, 28321, 2798, 593, 519, 7470, 269, 5131, 7223, 476, 272, 3211, 2813, 609, 12808, 7223, 476, 272, 269, 5623, 540, 5276, 3252, 3515, 1265, 519, 9386, 540, 1142, 1899, 563, 19530, 762, 538, 10375, 7824, 3898, 269, 2353, 3211, 2813, 609, 12808, 269, 2201, 891, 7792, 3211, 1053, 786, 2259, 6061, 4466, 18448, 338, 543, 24275, 5276, 4834, 563, 278, 586, 476, 273, 343, 476, 273, 476, 279, 586, 476, 272, 476, 275, 1535, 476, 275, 269, 15531, 18448, 338, 540, 5276, 4834, 4194, 547, 1265, 519, 1535, 543, 586, 18448, 338, 269, 1452, 4834, 616, 849, 4052, 543, 3730, 538, 4948, 1272, 563, 14818, 543, 4976, 18402, 585, 2979, 3610, 269, 2368, 540, 519, 3211, 2630, 616, 1863, 5276, 4834, 3211, 6061, 1949, 540, 5276, 4834, 676, 24275, 6061, 4834, 676, 9427, 23049, 10655, 2474, 6061, 513, 1062, 540, 1079, 5276, 4834, 538, 1079, 4632, 676, 1840, 269, 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 ]

[ 4609, 543, 519, 9341, 22986, 3135, 693, 11083, 15674, 568, 1586, 5532, 547, 9436, 3403, 269, 2060, 3677, 715, 11378, 1141, 9436, 568, 20024, 538, 4430, 267, 519, 588, 558, 7614, 5834, 568, 2799, 630, 19913, 14765, 518, 2590, 1696, 620, 1421, 476, 1960, 279, 1040, 9182, 267, 693, 26130, 2127, 971, 607, 519, 4104, 4609, 6594, 676, 3026, 597, 2106, 1188, 543, 9919, 2544, 332, 753, 630, 1220, 279, 1070, 3284, 31129, 12753, 616, 2799, 267, 1247, 693, 4609, 609, 2539, 715, 3403, 267, 971, 607, 10859, 5991, 1823, 10664, 609, 1970, 19355, 19760, 274, 9830, 267, 2418, 540, 3852, 497, 338, 666, 581, 607, 1970, 607, 476, 276, 1700, 1015, 630, 295, 534, 7322, 1696, 620, 1421, 476, 1960, 280, 1040, 634, 2249, 540, 10664, 568, 849, 2565, 630, 300, 3430, 26856, 1696, 620, 1421, 476, 1220, 280, 1040, 12518, 799, 616, 882, 5050, 593, 6404, 9436, 2959, 630, 2459, 28016, 267, 24277, 267, 543, 5214, 715, 1070, 543, 799, 616, 811, 882, 5050, 593, 3597, 2864, 982, 9496, 21939, 540, 9436, 267, 8858, 2539, 3284, 6955, 770, 12753, 982, 24277, 3146, 2993, 656, 267, 9496, 12431, 574, 559, 908, 2249, 630, 295, 4752, 10458, 1696, 620, 1421, 476, 1960, 273, 1040, 634, 1871, 540, 476, 4343, 269, 276, 799, 729, 18505, 1042, 689, 7403, 6013, 538, 519, 2039, 540, 3852, 497, 338, 2418, 17820, 676, 10859, 5991, 1823, 10664, 609, 1970, 715, 11378, 543, 538, 519, 2539, 2039, 540, 2949, 4104, 2418, 20926, 676, 7136, 611, 1696, 620, 269, 630, 1001, 271, 1916, 275, 269, 274, 7844, 2773, 609, 2463, 547, 27431, 9936, 5314, 454, 2304, 4879, 540, 519, 2773, 540, 519, 1367, 9936, 31907, 1996, 7229, 19760, 274, 13441, 525, 568, 3769, 538, 8431, 269, 476, 276, 267, 799, 10525, 519, 2164, 540, 2241, 5276, 9695, 3631, 585, 519, 20533, 2418, 540, 1142, 19760, 274, 13441, 2203, 1996, 4767, 19760, 274, 13441, 525, 269, 2060, 14621, 547, 519, 21942, 9756, 11664, 630, 337, 1070, 519, 7584, 540, 3631, 689, 1034, 9244, 17047, 609, 4767, 19760, 274, 13441, 525, 547, 2547, 17047, 568, 2203, 536, 267, 2203, 513, 267, 2203, 535, 267, 2203, 552, 267, 2203, 546, 267, 543, 2203, 524, 630, 16347, 11673, 616, 1336, 538, 7305, 476, 272, 1040, 634, 27431, 9936, 5314, 729, 513, 6793, 24572, 540, 2203, 1700, 1889, 5501, 618, 9756, 982, 519, 3903, 540, 3852, 497, 269, 4856, 21975, 609, 7403, 568, 5207, 585, 519, 3631, 1210, 606, 27431, 1759, 2390, 700, 310, 303, 267, 4553, 676, 1346, 799, 946, 966, 11520, 543, 6368, 681, 295, 269, 10738, 1142, 23454, 267, 3631, 1210, 3852, 497, 284, 2004, 1683, 20533, 2418, 602, 723, 513, 1732, 17047, 3514, 609, 4767, 2418, 982, 3852, 497, 284, 4343, 269, 276, 269, 15788, 2203, 2773, 568, 538, 1082, 2081, 811, 6213, 547, 27431, 982, 3852, 497, 607, 568, 7805, 689, 519, 13177, 6516, 630, 8993, 269, 476, 277, 1070, 799, 9034, 2478, 538, 835, 6516, 519, 1614, 14911, 2203, 1700, 1889, 5501, 618, 2773, 7194, 540, 519, 630, 328, 264, 9756, 11664, 630, 337, 1070, 630, 4512, 264, 1298, 1042, 3597, 1611, 16302, 5470, 630, 305, 5960, 292, 1070, 543, 630, 13839, 264, 1369, 21524, 601, 543, 1369, 24578, 5501, 618, 3044, 24017, 630, 16256, 264, 630, 307, 11336, 267, 476, 1220, 272, 1040, 634, 8579, 14573, 3308, 2213, 538, 8431, 269, 476, 277, 616, 9034, 2213, 538, 7305, 476, 273, 563, 763, 3044, 11539, 538, 519, 4767, 13441, 10471, 568, 476, 274, 269, 4792, 1547, 634, 2203, 602, 2501, 14191, 547, 18187, 908, 713, 1482, 13260, 568, 2203, 536, 630, 273, 269, 4792, 16532, 609, 2203, 552, 630, 273, 269, 2190, 3738, 18187, 908, 4767, 2418, 2547, 1134, 267, 4352, 519, 2949, 2039, 1063, 2203, 3044, 11539, 568, 17618, 2147, 269, 898, 1058, 581, 28703, 538, 2247, 267, 2705, 267, 602, 519, 3044, 11539, 540, 519, 6027, 13441, 2882, 6482, 10462, 538, 1840, 547, 1483, 13260, 267, 607, 798, 519, 1110, 8215, 2418, 267, 799, 616, 1759, 593, 6027, 6724, 269, 2060, 14621, 547, 678, 267, 2203, 536, 20533, 2418, 3132, 519, 5207, 9756, 609, 519, 4767, 2418, 693, 678, 284, 271, 269, 10170, 267, 538, 6476, 547, 2203, 524, 267, 799, 15824, 519, 10782, 693, 678, 284, 271, 269, 3393, 269, 7053, 267, 519, 2203, 609, 519, 9803, 3597, 1611, 4009, 5470, 689, 519, 4767, 568, 2203, 536, 693, 476, 273, 269, 8064, 2073, 609, 519, 5207, 5470, 1336, 538, 2203, 524, 267, 693, 476, 274, 269, 4029, 1547, 4475, 267, 689, 519, 2702, 540, 519, 9936, 31907, 547, 16196, 519, 6027, 3328, 13441, 525, 607, 4843, 538, 8431, 338, 269, 476, 276, 267, 476, 277, 267, 543, 630, 8368, 476, 272, 1070, 621, 666, 581, 11943, 602, 9936, 5314, 536, 267, 538, 799, 519, 1871, 27431, 568, 9936, 2213, 1210, 6978, 6632, 1145, 9936, 2418, 543, 1141, 519, 3284, 31129, 5223, 568, 1305, 547, 476, 2004, 267, 568, 519, 1655, 7900, 2203, 538, 1138, 6819, 19760, 274, 2627, 1700, 520, 4380, 1877, 5385, 693, 519, 11083, 15674, 3135, 267, 1247, 2203, 524, 568, 519, 10782, 7900, 563, 7212, 519, 6978, 6632, 1145, 9936, 6027, 609, 519, 6978, 17157, 8596, 568, 10169, 12170, 267, 621, 568, 711, 9670, 602, 621, 5526, 547, 2992, 519, 4890, 6978, 1216, 2179, 811, 5702, 982, 519, 9938, 625, 3842, 966, 11520, 543, 681, 295, 269, 2353, 1614, 6724, 1058, 581, 5702, 5532, 269, 4634, 1310, 5688, 5314, 540, 519, 3631, 267, 2705, 267, 3573, 3604, 538, 2203, 3977, 2611, 267, 21246, 958, 1063, 519, 3631, 1210, 6978, 6632, 1145, 9936, 543, 681, 295, 607, 2203, 11378, 269, 7612, 476, 278, 6799, 513, 14649, 4729, 540, 6978, 6632, 1145, 7403, 1996, 681, 295, 3339, 2213, 547, 519, 24588, 4463, 269, 634, 2078, 1063, 873, 568, 1655, 4330, 998, 513, 1379, 3830, 267, 799, 5267, 602, 6978, 6632, 1145, 11081, 811, 25921, 982, 681, 295, 2066, 519, 5859, 269, 11569, 267, 8431, 269, 476, 273, 2982, 513, 3982, 18848, 1063, 4767, 681, 295, 630, 553, 1134, 607, 966, 11520, 264, 543, 519, 6978, 6632, 1145, 9936, 269, 2755, 681, 295, 6922, 320, 616, 9571, 1063, 476, 1556, 281, 876, 543, 476, 1724, 281, 876, 267, 543, 9832, 538, 513, 9425, 7522, 6512, 1063, 476, 1911, 4939, 543, 476, 3199, 4939, 267, 6978, 6632, 1145, 10301, 6922, 320, 1063, 476, 1724, 281, 876, 543, 476, 1626, 281, 876, 543, 666, 6175, 3648, 267, 3226, 1282, 11270, 5565, 540, 519, 5859, 563, 14454, 267, 519, 2164, 5815, 602, 972, 568, 1713, 1871, 585, 16208, 2361, 7403, 538, 1818, 1463, 7403, 540, 6978, 6632, 1145, 1210, 6978, 6632, 1145, 17157, 8596, 540, 519, 1826, 1031, 1934, 269, 4014, 6978, 6632, 1145, 610, 2627, 6632, 1145, 7403, 616, 711, 3335, 2139, 585, 946, 538, 7998, 3560, 3631, 267, 24588, 6632, 1145, 568, 1419, 20533, 676, 2244, 2627, 3631, 630, 298, 520, 1092, 1696, 620, 1421, 476, 1001, 271, 264, 543, 1369, 3114, 3560, 3631, 630, 290, 2086, 10428, 1696, 620, 1421, 476, 1001, 280, 1040, 3244, 4327, 2627, 6632, 1145, 1239, 267, 607, 513, 6978, 6632, 1145, 9936, 267, 1223, 4061, 581, 1031, 547, 2203, 19760, 274, 13441, 525, 1210, 519, 700, 310, 303, 17466, 27431, 9936, 607, 4330, 1934, 269, 17968, 267, 966, 11520, 2861, 9936, 31907, 267, 936, 681, 295, 2861, 9936, 31907, 267, 1223, 581, 6964, 3079, 563, 275, 269, 275, 7844, 2773, 609, 2463, 547, 519, 3903, 540, 588, 558, 7614, 12998, 1761, 454, 2026, 568, 11617, 7805, 538, 8431, 269, 476, 278, 267, 519, 3310, 540, 519, 3284, 31129, 5223, 568, 5266, 8766, 585, 10063, 1424, 13441, 13260, 538, 6476, 547, 519, 1198, 540, 27431, 9936, 5314, 936, 519, 3852, 497, 338, 2039, 8268, 630, 4343, 269, 276, 547, 476, 2004, 1040, 1717, 267, 519, 3903, 540, 3852, 497, 1281, 1860, 519, 2203, 781, 2702, 547, 16196, 519, 2949, 9588, 540, 519, 13441, 525, 1282, 24817, 630, 8368, 476, 273, 1916, 9556, 1564, 602, 1031, 519, 3852, 497, 338, 1871, 540, 476, 2004, 630, 1492, 5580, 3808, 547, 519, 18505, 1042, 2418, 540, 476, 4343, 269, 276, 585, 3852, 497, 338, 264, 630, 321, 267, 546, 267, 543, 535, 264, 20533, 2418, 1732, 538, 6876, 609, 7422, 538, 6476, 547, 741, 19610, 27431, 3631, 630, 27920, 1947, 267, 513, 267, 524, 267, 543, 552, 264, 799, 1031, 519, 1871, 540, 476, 4343, 269, 276, 269, 769, 1880, 267, 519, 946, 540, 476, 4343, 269, 276, 607, 513, 1871, 3366, 547, 3631, 19765, 26305, 519, 4336, 540, 519, 5434, 563, 763, 15739, 32735, 8711, 513, 1761, 1966, 609, 1210, 519, 1505, 540, 18505, 2590, 3852, 497, 338, 607, 13890, 538, 590, 624, 269, 476, 274, 269, 274, 538, 9341, 2175, 269, 1306, 13890, 676, 715, 655, 6308, 1696, 620, 269, 630, 1220, 275, 1070, 519, 14496, 540, 1226, 908, 6543, 485, 320, 547, 6543, 485, 322, 1152, 6585, 585, 3819, 2175, 630, 324, 3052, 269, 681, 295, 2999, 476, 2004, 4939, 1070, 950, 27431, 666, 28761, 581, 4397, 547, 581, 1804, 269, 2311, 2362, 11195, 2418, 267, 6978, 2759, 2873, 949, 1376, 547, 1831, 513, 1507, 16173, 267, 543, 6543, 485, 322, 3587, 606, 30391, 540, 6543, 485, 338, 269, 2311, 519, 11083, 15674, 3135, 267, 1141, 11667, 11195, 693, 519, 24588, 1377, 2429, 519, 5859, 729, 476, 9262, 4939, 267, 609, 1152, 513, 1906, 20825, 1282, 519, 5671, 518, 11270, 5565, 543, 11270, 9050, 1141, 621, 8593, 2630, 476, 2568, 4939, 267, 713, 1935, 540, 18505, 2590, 3852, 497, 338, 689, 19760, 274, 7403, 729, 2693, 4299, 269, 1717, 267, 519, 1764, 1281, 711, 2408, 547, 723, 4625, 23380, 730, 519, 946, 540, 519, 1505, 267, 607, 519, 10169, 3677, 1871, 540, 476, 2004, 602, 8507, 538, 3631, 609, 1655, 6876, 1869, 6013, 1369, 476, 272, 3044, 11539, 540, 519, 18505, 1042, 3852, 497, 338, 1871, 269, 1323, 4977, 8990, 540, 3284, 31129, 5223, 585, 9341, 22986, 267, 6508, 689, 6978, 29508, 267, 1131, 2087, 519, 6111, 540, 519, 2203, 543, 4061, 3788, 606, 1271, 1858, 585, 2104, 7634, 269, 1717, 267, 922, 13260, 2066, 519, 1804, 2030, 2249, 4763, 1131, 2693, 1683, 513, 4161, 538, 3541, 1516, 513, 5377, 5346, 1611, 1871, 602, 1754, 985, 519, 2121, 5385, 563, 275, 269, 276, 7843, 1602, 531, 13260, 538, 2203, 2773, 454, 9556, 8215, 2418, 11651, 613, 3648, 689, 7422, 693, 1896, 2798, 1282, 519, 5859, 269, 769, 1880, 267, 593, 476, 1789, 5239, 1169, 2203, 25221, 606, 4505, 267, 1447, 13455, 12998, 538, 6476, 547, 519, 8343, 267, 1247, 593, 476, 273, 5437, 267, 1100, 2203, 25221, 1022, 12998, 267, 14669, 547, 7422, 267, 799, 2303, 513, 2178, 12998, 540, 19760, 274, 689, 476, 1724, 281, 876, 547, 476, 1428, 281, 876, 269, 2060, 14621, 547, 519, 27754, 538, 3631, 689, 519, 7422, 593, 476, 273, 5437, 267, 519, 7872, 540, 824, 2959, 540, 19760, 274, 12998, 602, 1131, 711, 581, 20039, 585, 1210, 519, 2582, 2000, 9707, 2203, 1223, 581, 2808, 269, 1280, 1383, 267, 689, 519, 10543, 540, 476, 4029, 5239, 547, 519, 2038, 6640, 540, 476, 273, 5437, 267, 5230, 13247, 5712, 941, 6592, 267, 13745, 609, 2799, 18254, 13441, 525, 540, 19760, 274, 593, 476, 272, 5437, 269, 16842, 6632, 18254, 540, 715, 998, 538, 24467, 543, 18233, 689, 519, 24588, 630, 301, 655, 6308, 1696, 620, 1421, 476, 1220, 271, 264, 547, 519, 4104, 6989, 610, 519, 2362, 3037, 7509, 3294, 1223, 723, 3366, 547, 606, 2333, 538, 3037, 610, 6978, 16445, 15451, 2534, 2630, 24588, 269, 4427, 2425, 550, 15018, 540, 519, 3037, 543, 6978, 16445, 2429, 476, 273, 5437, 1522, 723, 3366, 547, 606, 21381, 540, 19760, 274, 689, 519, 16445, 610, 3037, 4494, 689, 519, 4104, 6989, 630, 295, 753, 523, 1696, 620, 1421, 476, 1001, 278, 1070, 3056, 547, 4767, 5434, 540, 19760, 274, 538, 519, 12784, 269, 901, 1761, 9183, 1131, 711, 581, 1110, 8215, 609, 519, 2582, 2000, 9707, 24588, 4187, 2203, 563, 30182, 1110, 8215, 2418, 585, 24817, 22157, 547, 3858, 1732, 609, 741, 7222, 1974, 540, 7422, 982, 3781, 6066, 2418, 269, 15788, 267, 519, 3670, 3631, 22157, 547, 21467, 560, 1493, 27248, 19760, 274, 18254, 267, 3226, 1282, 11270, 5565, 543, 9050, 950, 782, 3670, 3631, 21467, 560, 13846, 519, 3328, 18254, 676, 811, 982, 476, 1839, 4939, 689, 519, 7222, 3328, 7422, 269, 2986, 1576, 267, 519, 13441, 6482, 3294, 568, 711 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 14264, 2065, 682, 641, 1841, 269, 2991, 27683, 543, 21495, 267, 621, 16034, 3791, 538, 2474, 540, 1560, 2450, 543, 5654, 2147, 547, 602, 540, 2274, 641, 1841, 1336, 538, 5607, 543, 4000, 269, 13738, 17794, 1522, 936, 12741, 795, 16331, 541, 4470, 593, 922, 7099, 267, 2450, 543, 4222, 907, 808, 16331, 1513, 616, 711, 519, 16595, 3662, 593, 3618, 269, 4563, 20562, 615, 5288, 11344, 795, 16331, 541, 269, 707, 1378, 623, 1231, 593, 26964, 11059, 10632, 269, 1358, 616, 1419, 13747, 689, 1142, 824, 538, 2474, 540, 519, 7990, 540, 741, 1560, 268, 23202, 1667, 1373, 3109, 538, 7990, 543, 808, 16331, 1513, 2348, 9634, 269, 31733, 674, 697, 269, 12984, 519, 4563, 23202, 615, 24511, 513, 808, 16331, 541, 286, 8073, 2659, 13574, 8111, 15552, 269, 670, 592, 330, 10632, 269, 18766, 689, 922, 6477, 7695, 267, 519, 3109, 20562, 615, 568, 5156, 547, 581, 1447, 15417, 607, 3379, 547, 519, 824, 11954, 7314, 269, 898, 568, 1336, 538, 1614, 17407, 267, 12077, 267, 4000, 267, 5607, 543, 519, 17113, 269, 3967, 476, 279, 267, 476, 1708, 271, 910, 10812, 715, 731, 11770, 8775, 781, 4604, 834, 292, 20891, 6146, 332, 784, 518, 2580, 4553, 676, 476, 13970, 280, 1004, 593, 26964, 269, 2290, 540, 873, 1373, 519, 1480, 1373, 543, 519, 606, 659, 25352, 269, 898, 4016, 547, 513, 2249, 540, 519, 21634, 13160, 1920, 563, 18872, 20562, 615, 5288, 795, 16331, 541, 454, 1692, 1677, 28563, 778, 22458, 6519, 454, 294, 2784, 1304, 6744, 532, 12213, 4804, 595, 2293, 5028, 454, 4692, 517, 595, 1911, 13242, 1280, 22312, 454, 305, 1933, 773, 476, 273, 2871, 10560, 20658, 518, 12313, 454, 15933, 1280, 13628, 454, 18872, 20562, 615, 5288, 795, 16331, 541, 476, 1708, 271, 0, 300, 4394, 543, 3818, 3613, 648, 903, 1223, 581, 1500, 28572, 676, 1582, 28391, 3167, 6472, 563, 20236, 28391, 3167, 6517, 949, 1118, 1286, 11614, 28572, 538, 10430, 779, 4872, 1369, 513, 8717, 1107, 543, 1223, 2569, 4683, 2011, 5533, 547, 3592, 4642, 563, 27319, 4872, 4274, 17363, 570, 4459, 518, 267, 6340, 6619, 540, 13677, 20622, 1963, 1101, 8899, 4211, 12365, 20079, 10985, 1107, 5143, 875, 513, 4999, 540, 3838, 1239, 267, 6007, 1379, 543, 1582, 28391, 2029, 1131, 11904, 6671, 2628, 543, 4159, 27061, 1448, 1652, 563, 8245, 517, 267, 540, 5100, 4872, 12665, 12124, 307, 728, 267, 1767, 281, 968, 9928, 2714, 880, 2199, 8128, 616, 2907, 3206, 827, 1018, 2749, 10754, 786, 1413, 899, 538, 513, 8717, 779, 942, 1107, 543, 519, 4267, 616, 7168, 4230, 15929, 563, 2108, 3528, 476, 10711, 271, 1582, 28391, 3167, 6472, 616, 2693, 547, 581, 28125, 269, 7351, 5515, 1397, 602, 6517, 616, 9361, 7329, 548, 585, 1472, 476, 4817, 260, 540, 519, 1554, 267, 543, 713, 568, 2029, 799, 1223, 2322, 873, 547, 946, 585, 2484, 811, 540, 519, 942, 563, 2108, 20236, 28391, 6517, 4465, 1406, 991, 18736, 5624, 538, 4872, 1107, 789, 2461, 2693, 547, 581, 10519, 539, 2864, 982, 11262, 543, 786, 1175, 2212, 1055, 543, 4163, 856, 741, 1985, 3460, 1310, 21177, 15915, 1055, 269, 3509, 1286, 18736, 5624, 799, 649, 1631, 1491, 585, 11292, 786, 3274, 1831, 28572, 563, 10527, 10605, 693, 799, 3167, 6174, 2029, 568, 3384, 1797, 789, 2461, 849, 2693, 547, 581, 3167, 267, 865, 786, 3132, 4642, 5434, 607, 789, 2461, 9141, 563, 2108, 307, 2586, 1927, 609, 606, 6679, 909, 540, 519, 1239, 799, 786, 5512, 1007, 2533, 547, 3095, 609, 7996, 15915, 267, 649, 2461, 2693, 547, 1294, 513, 5458, 6521, 538, 875, 938, 4872, 1413, 543, 875, 3560, 568, 7307, 563, 2108, 5415, 4055, 585, 1004, 267, 15777, 2011, 543, 811, 3608, 15322, 616, 1175, 519, 1376, 3034, 9928, 2714, 880, 20622, 1963, 8899, 4211, 12365, 20079, 10985, 568, 1373, 4371, 538, 25470, 593, 5988, 476, 2420, 563, 30755, 21542, 20913, 26856, 645, 329, 23152, 330, 5658, 518, 267, 3493, 14280, 26302, 540, 966, 7564, 343, 329, 7238, 267, 13785, 267, 786, 3717, 827, 1200, 2833, 3056, 2048, 292, 2202, 779, 3039, 652, 2749, 685, 543, 10529, 689, 10430, 779, 8899, 12539, 24486, 17130, 10414, 543, 519, 13677, 20079, 19137, 786, 1865, 22649, 585, 1970, 28003, 4872, 540, 519, 2104, 563, 9827, 6340, 693, 519, 2680, 568, 6276, 12138, 267, 16010, 1299, 9483, 4886, 19541, 10615, 693, 595, 2412, 1107, 513, 3060, 540, 519, 1158, 779, 19251, 659, 885, 8149, 547, 5466, 2916, 1689, 1107, 543, 7905, 808, 650, 1323, 762, 267, 17348, 538, 13255, 543, 6052, 693, 519, 2160, 540, 2274, 2644, 563, 305, 659, 3559, 548, 14559, 267, 10615, 540, 18058, 693, 13677, 20622, 1963, 267, 1767, 281, 968, 4415, 519, 13557, 540, 10430, 779, 1379, 1631, 4947, 689, 7791, 1648, 543, 513, 1007, 13677, 8693, 7827, 9291, 538, 519, 1055, 532, 267, 10430, 5170, 547, 1291, 519, 1259, 538, 2679, 513, 1970, 28003, 4346, 563, 2108, 9928, 2714, 880, 20622, 1963, 685, 1101, 2479, 8899, 4211, 12365, 20079, 10985, 7710, 519, 1082, 3255, 585, 10430, 779, 4872, 547, 9784, 519, 5912, 547, 513, 4264, 267, 2973, 267, 3039, 4346, 282, 4227, 1648, 3790, 543, 21365, 4492, 6710, 267, 1247, 19788, 1970, 28003, 5092, 543, 6009, 267, 543, 2679, 938, 6080, 540, 519, 2104, 563, 2108, 290, 885, 2066, 10430, 616, 2907, 585, 3101, 6619, 609, 2666, 31771, 3785, 547, 1232, 12365, 1047, 741, 1648, 7727, 267, 543, 713, 10554, 786, 2671, 519, 2833, 540, 930, 540, 1346, 7341, 563, 2108, 3719, 972, 779, 1869, 513, 1279, 1259, 547, 979, 952, 649, 616, 547, 2743, 938, 16529, 9072, 543, 3035, 519, 3804, 540, 5969, 3327, 693, 519, 9803, 1942, 267, 865, 649, 3580, 1413, 693, 519, 6932, 2093, 2066, 519, 5108, 267, 4859, 267, 3892, 543, 946, 540, 1648, 799, 786, 2981, 938, 4683, 2127, 883, 5100, 4872, 585, 519, 1985, 5108, 3034, 9928, 2714, 880, 20622, 1963, 8899, 4211, 12365, 20079, 10985, 568, 1373, 4371, 693, 519, 2910, 306, 6369, 10985, 10418, 267, 25470, 267, 593, 5988, 476, 2420, 563, 12024, 938, 9365, 8525, 454, 23220, 5799, 12367, 538, 1530, 2378, 797, 20885, 538, 476, 1708, 273, 454, 4692, 623, 4932, 293, 6435, 1677, 13724, 7233, 12618, 585, 19889, 6363, 7037, 12567, 619, 454, 1692, 519, 772, 2529, 269, 6554, 568, 26472, 5682, 6052, 538, 519, 13474, 454, 1321, 12708, 12085, 585, 11370, 3539, 2659, 3689, 5851, 454, 19604, 1145, 532, 20885, 609, 14871, 4211, 22834, 5303, 16743, 454, 21430, 2659, 14134, 540, 11109, 606, 19889, 6363, 7037, 12567, 22067, 6936, 454, 19522, 585, 8838, 2711, 17904, 5004, 538, 2659, 5851, 454, 763, 16581, 11588, 540, 16661, 853, 725, 585, 19889, 6363, 7037, 26478, 454, 1432, 24439, 6732, 30166, 8132, 19889, 6363, 7037, 888, 1692, 19889, 6363, 7037, 4095, 12875, 1235, 2052, 15233, 585, 6250, 553, 547, 8478, 454, 278, 19889, 6363, 7037, 7233, 15369, 10201, 2510, 585, 28064, 15733, 454, 22826, 23067, 2755, 1358, 2461, 8479, 281, 20885, 9669, 585, 2353, 12698, 454, 12749, 476, 276, 11588, 540, 19889, 6363, 7037, 23663, 454, 3963, 19889, 6363, 7037, 23467, 9701, 5620, 30482, 24872, 7741, 454, 30560, 1080, 540, 20885, 27561, 281, 1548, 5272, 15440, 18771, 5700, 454, 20181, 2506, 2153, 543, 11162, 5794, 2098, 2158, 281, 1548, 1411, 10261, 1677, 5700, 454, 275, 18467, 1677, 12706, 589, 12655, 5851, 454, 3963, 21846, 532, 2659, 7577, 547, 606, 12601, 18307, 564, 24439, 23281, 888, 4753, 302, 20574, 28247, 514, 4112, 1622, 1215, 634, 1744, 6235, 12752, 1772, 24613, 5682, 454, 288, 6651, 547, 19889, 6363, 7037, 14924, 25597, 454, 268, 17972, 1556, 3275, 3516, 454, 5353, 1597, 2657, 543, 8881, 9669, 585, 19889, 6363, 7037, 15733, 538, 513, 5682, 5851, 454, 268, 6052, 1556, 3275, 3516, 454, 292, 1723, 6363, 7037, 5851, 14935, 13722, 12539, 14272, 21646, 998, 20523, 5794, 16448, 518, 21252, 454, 268, 17972, 1015, 3275, 3516, 454, 29973, 13832, 585, 19889, 7888, 25021, 883, 1007, 5851, 454, 268, 17972, 1015, 3275, 3516, 454, 276, 3281, 2454, 30258, 547, 670, 790, 606, 19889, 6363, 7037, 20260, 528, 0, 1432, 568, 519, 3017, 1063, 2011, 8410, 1288, 532, 543, 2916, 1852, 286, 8693, 1852, 568, 513, 811, 10427, 1106, 540, 2011, 8410, 1288, 532, 267, 799, 2636, 519, 2837, 540, 513, 6517, 9703, 547, 581, 8308, 6417, 269, 2560, 901, 568, 1114, 547, 2011, 8410, 1288, 532, 267, 799, 814, 922, 3432, 543, 2179, 540, 4411, 2011, 6417, 676, 519, 9920, 563, 1432, 568, 519, 2916, 1852, 888, 20458, 1852, 568, 513, 1062, 585, 9013, 519, 2837, 3330, 513, 6174, 269, 634, 1286, 779, 2916, 1852, 1062, 8060, 519, 8022, 543, 2011, 8410, 1288, 532, 1949, 269, 634, 2916, 1852, 1770, 4188, 338, 519, 2837, 543, 2011, 2095, 3330, 519, 1286, 563, 9989, 2916, 1852, 991, 3204, 23035, 888, 2304, 2011, 14555, 3028, 543, 556, 3154, 568, 5227, 1169, 476, 1240, 3275, 269, 2560, 1717, 513, 556, 3766, 553, 1169, 476, 1240, 3275, 786, 2327, 519, 1062, 568, 2324, 607, 621, 1058, 543, 713, 3028, 786, 849, 5031, 1022, 1761, 24966, 610, 20984, 1369, 519, 1062, 269, 476, 274, 269, 589, 14727, 1949, 2154, 513, 21149, 656, 2126, 21237, 563, 1432, 1281, 10081, 2916, 1852, 798, 888, 8505, 11703, 2916, 1852, 568, 513, 1062, 602, 2636, 513, 9920, 547, 1305, 513, 9053, 2837, 543, 1287, 711, 5855, 827, 556, 14194, 3286, 532, 519, 3002, 610, 2011, 14555, 267, 7064, 547, 538, 268, 557, 327, 1834, 8596, 563, 1692, 798, 594, 917, 952, 1250, 1286, 814, 2916, 1852, 888, 2252, 972, 779, 513, 7735, 609, 8028, 593, 621, 267, 707, 1286, 849, 814, 2011, 14555, 269, 1809, 952, 707, 1286, 814, 513, 3059, 1224, 856, 602, 6645, 596, 538, 5232, 267, 610, 1256, 3368, 5232, 267, 1018, 519, 2837, 568, 267, 602, 779, 2916, 1852, 269, 634, 2837, 2356, 9832, 689, 827, 476, 1626, 547, 476, 1789, 5232, 595, 563, 9989, 2916, 1852, 946, 811, 4492, 888, 4002, 2110, 15143, 621, 786, 946, 811, 4492, 609, 519, 513, 11305, 593, 855, 711, 2614, 811, 547, 5855, 827, 269, 7464, 12463, 294, 6087, 596, 547, 11578, 519, 4492, 4346, 596, 616, 2965, 3478, 1996, 707, 1118, 543, 2203, 540, 1286, 267, 922, 2599, 543, 1826, 540, 6771, 563, 4692, 594, 3888, 2916, 1852, 538, 1250, 1286, 888, 2304, 4095, 2754, 1572, 918, 337, 16194, 15306, 13976, 519, 20000, 12829, 267, 606, 13128, 2916, 1852, 9074, 602, 568, 11720, 539, 693, 827, 476, 275, 267, 4335, 8297, 701, 525, 267, 543, 602, 8060, 519, 2837, 540, 513, 1286, 547, 513, 1095, 564, 1871, 269, 901, 3926, 18795, 593, 707, 21686, 4580, 543, 3217, 827, 476, 1428, 3764, 547, 3888, 269, 1411, 666, 4444, 835, 1934, 563, 1692, 1281, 476, 275, 7997, 2916, 1852, 960, 888, 19177, 18630, 8693, 6513, 454, 2467, 616, 5094, 8060, 585, 519, 9920, 267, 4395, 18213, 267, 543, 519, 15493, 10160, 568, 5258, 538, 1079, 609, 5094, 8060, 585, 1142, 3368, 3850, 2185, 15915, 547, 2972, 741, 1378, 2916, 1852, 5468, 563, 1432, 6517, 723, 12242, 2916, 1852, 888, 1015, 5440, 23663, 609, 32680, 8693, 6513, 454, 268, 4258, 341, 549, 2280, 5689, 756, 340, 563, 268, 932, 24075, 2401, 7414, 320, 563, 268, 667, 17690, 20736, 24546, 563, 268, 16110, 674, 268, 5611, 563, 268, 808, 16331, 541, 674, 6261, 864, 563, 268, 8614, 788, 11412, 1122, 1228, 563, 268, 12493, 13782, 1807, 563, 268, 16186, 681, 1478, 563, 1432, 568, 519, 3017, 1063, 8261, 543, 13128, 2916, 1852, 888, 288, 8261, 2011, 14555, 1062, 13978, 593, 693, 519, 9023, 543, 9514, 518, 4259, 596, 2824, 543, 8952, 593, 25738, 693, 602, 10605, 2394, 596, 6467, 621, 2539, 269, 29725, 520, 3055, 267, 593, 519, 824, 1688, 267, 8850, 8952, 707, 6174, 693, 513, 1808, 2837, 596, 2824, 269, 2560, 1684, 596, 723, 513, 6174, 609, 13128, 2916, 1852, 888, 3674, 621, 1732, 547, 2490, 1055, 8028, 610, 4734, 621, 593, 10081, 888, 7312, 8028, 8255, 693, 519, 1482, 3432, 7488, 540, 1018, 2837, 621, 568, 269, 1677, 3579, 707, 1753, 1524, 811, 267, 621, 3274, 8255, 513, 2370, 3476, 269, 2560, 2659, 8028, 786, 2965, 2196, 3476, 2949, 952, 621, 568, 2451, 593, 782, 1554, 3079, 540, 1373, 9505, 1055, 269, 1403, 596, 2490, 621, 1055, 585, 851, 540, 519, 1554, 267, 621, 8255, 1447, 543, 2164, 538, 811, 1648, 9806, 585, 596, 563, 3674, 621, 1732, 547, 4734, 8028, 593, 10081, 888, 30789, 707, 10178, 593, 27483, 302, 568, 519, 1034, 1648, 18026, 4781, 269, 2560, 1403 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 602, 519, 2837, 540, 519, 4496, 2627, 10393, 2799, 267, 896, 519, 2962, 540, 519, 8955, 4496, 543, 1071, 32681, 13297, 540, 5135, 3114, 5114, 267, 16089, 513, 1804, 2179, 540, 3002, 269, 4935, 7133, 519, 6111, 540, 519, 1966, 267, 609, 519, 5544, 543, 10936, 3154, 3350, 18330, 4646, 513, 9378, 267, 519, 2837, 666, 3914, 811, 982, 519, 13621, 1448, 267, 865, 519, 703, 3878, 568, 23704, 269, 1924, 875, 798, 649, 1852, 519, 6111, 1966, 538, 519, 1184, 540, 5106, 286, 3371, 781, 513, 1413, 912, 272, 269, 19045, 8955, 5969, 547, 3035, 4977, 1852, 540, 1445, 269, 634, 4130, 519, 17122, 3178, 540, 519, 1445, 7828, 267, 519, 4130, 519, 5544, 693, 519, 17122, 1448, 267, 865, 602, 519, 1445, 2990, 666, 581, 3927, 6417, 593, 519, 4496, 2627, 267, 4611, 538, 4824, 5969, 2298, 269, 8838, 4476, 5969, 31432, 566, 2029, 269, 4595, 519, 8955, 2759, 614, 568, 513, 8143, 2759, 267, 621, 568, 849, 2556, 547, 23309, 513, 1507, 8559, 538, 519, 4496, 6676, 267, 543, 1287, 519, 8955, 11237, 6238, 5969, 519, 6676, 689, 519, 1507, 8559, 563, 273, 269, 634, 5114, 540, 4496, 8955, 5969, 7472, 513, 2603, 540, 3002, 267, 865, 519, 1648, 2838, 585, 8955, 5135, 5969, 568, 1152, 476, 272, 270, 273, 540, 519, 13621, 5969, 267, 543, 519, 5969, 3432, 568, 1454, 3152, 982, 519, 8955, 11517, 1436, 5969, 543, 13621, 5969, 563, 274, 269, 21079, 519, 512, 1653, 540, 519, 24362, 15394, 519, 512, 1653, 540, 519, 8559, 4679, 609, 519, 2333, 540, 922, 27934, 5223, 267, 1210, 3617, 8955, 3977, 1648, 610, 1507, 1648, 14578, 23735, 7007, 267, 2110, 17122, 3259, 267, 1507, 7828, 31659, 4994, 543, 2569, 519, 5086, 1063, 519, 19670, 1769, 543, 519, 9804, 7852, 666, 2569, 519, 512, 1653, 540, 519, 8559, 563, 275, 269, 19045, 8955, 5969, 568, 519, 946, 540, 1164, 1648, 5860, 8955, 593, 519, 2627, 540, 28221, 1570, 17655, 267, 865, 602, 519, 1570, 568, 3002, 18493, 730, 856, 540, 513, 1507, 9240, 913, 267, 543, 1287, 4019, 513, 1978, 2179, 540, 2604, 267, 28221, 1570, 786, 581, 29618, 2059, 519, 1507, 9240, 913, 269, 6513, 17795, 568, 519, 946, 540, 8955, 9240, 7174, 950, 519, 14869, 2837, 3892, 267, 538, 519, 28221, 1570, 547, 3132, 2199, 8143, 2566, 267, 865, 602, 519, 1570, 2059, 519, 1507, 9240, 913, 31028, 563, 276, 269, 589, 13630, 675, 2450, 1852, 267, 4496, 8955, 5969, 1210, 513, 1507, 24980, 5086, 540, 519, 8955, 630, 271, 269, 9826, 547, 476, 271, 269, 19740, 2784, 1070, 2110, 523, 519, 17122, 3259, 610, 2569, 519, 3977, 1648, 547, 3489, 513, 1507, 27934, 269, 1280, 13621, 1448, 1164, 269, 6153, 8143, 19428, 540, 519, 1570, 666, 3035, 513, 8006, 540, 476, 271, 269, 4905, 547, 476, 272, 7825, 540, 1507, 8559, 4393, 267, 1507, 27934, 540, 909, 547, 476, 271, 269, 9826, 7825, 563, 268, 1548, 568, 519, 2014, 540, 3276, 3464, 538, 519, 4393, 851, 950, 8955, 5969, 3327, 588, 2465, 454, 268, 1548, 616, 519, 4162, 540, 8955, 5969, 543, 4393, 888, 268, 12866, 1883, 1949, 585, 519, 5826, 543, 5826, 540, 8955, 2759, 1562, 454, 268, 1215, 547, 2759, 856, 513, 1434, 3732, 609, 513, 8955, 2759, 614, 454, 268, 5811, 540, 1455, 2042, 538, 8955, 5969, 543, 4393, 454, 268, 634, 1292, 2188, 7133, 519, 6111, 540, 8955, 5969, 543, 4393, 454, 268, 1215, 547, 2973, 519, 4496, 8955, 5969, 543, 4393, 3334, 454, 268, 1548, 1852, 1949, 616, 4122, 1031, 538, 9804, 5969, 6191, 286, 15017, 268, 6904, 4295, 3334, 616, 1031, 538, 8955, 8856, 5969, 543, 4393, 454, 268, 1323, 2079, 540, 519, 2324, 6240, 543, 4027, 3800, 540, 8955, 5969, 606, 454, 268, 7994, 799, 2798, 547, 2628, 3007, 547, 538, 8955, 5969, 454, 268, 1215, 547, 1852, 519, 6111, 540, 4496, 8955, 5969, 286, 0, 303, 17123, 2986, 5623, 281, 11270, 545, 8611, 267, 3284, 628, 748, 588, 558, 22807, 267, 943, 28640, 4345, 543, 20722, 4345, 630, 303, 293, 4338, 288, 264, 6794, 568, 519, 1034, 1455, 2014, 540, 13350, 8611, 540, 7164, 5169, 538, 6689, 269, 4438, 519, 2063, 1296, 513, 1297, 540, 2090, 593, 1804, 3126, 540, 2550, 723, 8774, 811, 1769, 593, 519, 4890, 4791, 18572, 267, 1279, 3856, 6364, 543, 3210, 547, 2126, 269, 7351, 21668, 4338, 288, 7355, 723, 1970, 23506, 2094, 789, 616, 2318, 538, 513, 9645, 8167, 540, 2550, 609, 15110, 13350, 905, 951, 269, 1284, 1867, 593, 519, 4681, 4947, 689, 519, 2079, 540, 1804, 16649, 2176, 540, 21668, 4338, 288, 2550, 543, 519, 2009, 29943, 585, 519, 11186, 5868, 269, 1323, 9337, 593, 519, 12117, 540, 2009, 605, 29091, 12519, 5574, 543, 9748, 559, 937, 3912, 568, 2016, 269, 10765, 28454, 281, 589, 10368, 6060, 2919, 538, 513, 1804, 3126, 540, 1453, 14439, 2550, 5870, 21668, 4338, 288, 7355, 543, 693, 2362, 1981, 547, 4163, 4143, 13592, 540, 6090, 2404, 609, 13350, 905, 951, 269, 15932, 1242, 2090, 593, 519, 12117, 540, 9748, 559, 937, 3912, 2285, 513, 811, 2963, 2861, 24134, 547, 713, 2009, 9354, 1935, 269, 12834, 281, 634, 4681, 4947, 689, 519, 2487, 3332, 2285, 1007, 1344, 547, 19353, 585, 519, 2953, 10368, 1935, 547, 12963, 543, 2937, 2550, 9306, 13350, 8611, 540, 7164, 5169, 543, 1683, 606, 8242, 7650, 593, 519, 9354, 7399, 585, 2550, 9306, 513, 18094, 540, 8611, 6285, 563, 268, 1313, 7765, 11987, 3676, 454, 268, 11186, 5868, 9748, 559, 937, 3912, 454, 268, 13350, 8611, 454, 3008, 297, 290, 2480, 22455, 1641, 2127, 0, 2421, 17755, 3863, 6953, 650, 4586, 24309, 538, 2296, 454, 4415, 4267, 547, 2042, 269, 19881, 1196, 269, 476, 3707, 274, 563, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 275, 4792, 2008, 12914, 476, 736, 267, 5788, 594, 1589, 621, 568, 513, 22510, 1433, 1344, 8797, 269, 898, 1175, 7959, 513, 3787, 2025, 269, 1403, 596, 1616, 513, 6323, 6881, 540, 3002, 543, 32721, 267, 713, 1433, 568, 711, 513, 3983, 1224, 609, 952, 596, 798, 711, 2247, 519, 4587, 2511, 269, 634, 9642, 3364, 827, 713, 1433, 568, 602, 8579, 11707, 568, 2322, 538, 519, 3296, 540, 3156, 270, 276, 263, 279, 1040, 25873, 543, 8281, 26457, 19392, 2835, 540, 1585, 10643, 267, 2854, 676, 1082, 4589, 543, 3370, 676, 513, 1297, 540, 12326, 585, 1863, 538, 7300, 3898, 269, 8281, 552, 20486, 1547, 26457, 19392, 568, 513, 1641, 602, 814, 513, 2647, 3099, 540, 3156, 267, 1519, 1082, 538, 4052, 543, 4702, 8658, 269, 3883, 281, 14333, 543, 26457, 19392, 630, 307, 23628, 264, 910, 8212, 8644, 516, 17806, 338, 4787, 760, 547, 1547, 14333, 4390, 568, 513, 22905, 2168, 7274, 3160, 547, 519, 5223, 540, 519, 3002, 3773, 547, 606, 1843, 547, 519, 4611, 2837, 1689, 269, 634, 24855, 3002, 4390, 568, 519, 3002, 4390, 829, 1770, 2179, 630, 10485, 1770, 281, 3727, 264, 540, 513, 6986, 6219, 267, 543, 519, 1808, 3002, 4390, 267, 1419, 1572, 3274, 1808, 3002, 267, 568, 519, 3002, 4390, 829, 1770, 2527, 540, 513, 563, 307, 615, 332, 19392, 568, 519, 7936, 540, 6323, 602, 9388, 609, 3002, 543, 2837, 267, 543, 741, 6935, 547, 1648, 267, 960, 267, 5982, 267, 543, 3601, 540, 1196, 826, 341, 1794, 4302, 345, 2593, 2623, 540, 891, 9424, 568, 18170, 676, 519, 2185, 4031, 540, 32721, 799, 6655, 513, 11050, 6609, 1210, 22905, 12550, 2675, 8084, 2168, 9424, 267, 855, 949, 581, 6045, 538, 2474, 540, 18784, 23466, 676, 8579, 269, 26457, 19392, 568, 519, 7936, 540, 2257, 7255, 609, 3002, 543, 2837, 543, 741, 6935, 547, 1648, 543, 960, 269, 9861, 13671, 593, 513, 2647, 2039, 540, 3156, 540, 32721, 267, 713, 1433, 5531, 338, 513, 3126, 540, 7418, 676, 519, 20923, 3744, 538, 519, 1158, 267, 10356, 538, 606, 1931, 569, 6073, 269, 634, 1433, 568, 5921, 585, 606, 2606, 1576, 593, 14333, 543, 26457, 19392, 269, 22716, 529, 814, 1044, 2016, 547, 519, 17950, 540, 32721, 269, 634, 1433, 3096, 3099, 540, 12222, 267, 12125, 543, 1565, 11226, 547, 5512, 2653, 1620, 540, 519, 1641, 269, 14333, 1656, 1196, 826, 341, 1794, 4302, 345, 2593, 910, 5131, 4647, 661, 1504, 267, 18361, 267, 30930, 267, 14871, 6651, 7300, 6119, 593, 519, 4950, 3533, 543, 3362, 269, 8827, 15015, 7177, 26457, 19392, 4518, 1656, 14333, 18734, 14333, 1656, 26457, 19392, 1635, 17124, 645, 8643, 589, 2381, 21584, 3883, 14333, 1656, 26457, 19392, 2098, 655, 753, 5652, 8827, 15015, 8281, 14333, 1656, 26457, 19392, 1635, 2098, 655, 753, 5652, 563, 11321, 476, 6021, 267, 5788, 4107, 9945, 946, 26365, 8212, 676, 5576, 549, 25005, 269, 594, 6557, 711, 513, 10178, 540, 713, 1433, 1317, 972, 616, 1100, 3435, 543, 972, 616, 1100, 1383, 2042, 269, 594, 6836, 4466, 1776, 8143, 6323, 1433, 602, 594, 2731, 17329, 543, 713, 729, 2731, 2352, 269, 594, 1185, 269, 14333, 6818, 1152, 607, 621, 22613, 519, 10465, 540, 513, 1062, 543, 519, 4287, 540, 3002, 4483, 568, 689, 2362, 2837, 547, 2539, 2837, 269, 1280, 32721, 1129, 15007, 267, 3002, 11843, 547, 513, 1062, 568, 2318, 282, 14333, 11843, 689, 513, 1062, 568, 2942, 269, 634, 3002, 2877, 547, 6318, 513, 1843, 781, 2837, 689, 570, 476, 272, 547, 570, 476, 273, 568, 269, 3057, 476, 2641, 267, 5788, 4460, 654, 269, 2098, 655, 753, 5652, 14333, 543, 26457, 19392, 630, 539, 826, 341, 1794, 4302, 345, 2593, 264, 17755, 3863, 6953, 650, 3883, 7577, 5549, 269, 3600, 13681, 520, 476, 278, 21584, 25253, 269, 2480, 10165, 676, 1148, 332, 13453, 1210, 32588, 667, 13612, 269, 14333, 18734, 7177, 26457, 19392, 269, 14333, 543, 26457, 19392, 9664, 4460, 654, 269, 2098, 655, 753, 5652, 267, 1912, 6185, 269, 16840, 1222, 630, 14737, 3065, 1863, 264, 22490, 547, 2070, 11657, 270, 9349, 269, 7046, 281, 14333, 543, 26457, 19392, 269, 2776, 2183, 269, 1879, 519, 1101, 7160, 540, 834, 28959, 543, 26457, 19392, 257, 7902, 13977, 1296, 3516, 267, 621, 729, 5497, 585, 1053, 8600, 585, 11678, 538, 6323, 267, 538, 269, 0, 8489, 547, 979, 585, 1863, 2228, 4116, 3318, 1646, 912, 28097, 525, 519, 3017, 1063, 30854, 543, 30854, 7981, 269, 4112, 1622, 950, 519, 30854, 7981, 4971, 568, 3730, 269, 23227, 919, 875, 547, 946, 30854, 7981, 547, 4894, 1257, 11249, 563, 17504, 476, 1001, 271, 267, 2422, 30854, 7981, 267, 30854, 543, 30854, 7981, 267, 1215, 798, 594, 13594, 267, 918, 1321, 267, 918, 268, 1321, 267, 11334, 267, 11819, 5303, 267, 11819, 16065, 4886, 267, 8433, 476, 1001, 271, 20861, 454, 311, 655, 774, 17845, 332, 645, 14504, 328, 22870, 17554, 379, 339, 932, 807, 590, 17554, 375, 15917, 10609, 5451, 322, 281, 4179, 2517, 338, 1511, 15282, 4355, 3820, 270, 577, 807, 5498, 0, 314, 21529, 316, 1496, 573, 3095, 2639, 7437, 9721, 22707, 267, 22255, 328, 7315, 13950, 513, 6578, 540, 3592, 513, 5479, 20789, 338, 799, 568, 1031, 547, 948, 3384, 6082, 3976, 11173, 8581, 781, 2245, 540, 8757, 856, 547, 824, 2022, 12258, 11102, 6082, 563, 5278, 13565, 29941, 454, 7437, 543, 9721, 454, 7437, 1010, 3993, 267, 1312, 689, 634, 23778, 1975, 27247, 543, 634, 31578, 674, 1069, 1195, 19198, 267, 16452, 568, 540, 2296, 267, 13677, 267, 1977, 16350, 543, 540, 6552, 9721, 16350, 563, 265, 2274, 514, 3122, 2829, 543, 15438, 538, 4168, 2053, 6032, 269, 476, 3451, 1107, 476, 7367, 267, 634, 772, 320, 631, 2801, 548, 577, 331, 664, 333, 15438, 540, 2725, 987, 267, 6032, 269, 476, 3445, 1107, 476, 13040, 267, 4168, 15438, 540, 1230, 333, 25638, 267, 6032, 269, 476, 10082, 1107, 476, 3707, 267, 6754, 654, 1023, 327, 267, 538, 9721, 24285, 543, 4804, 3414, 519, 12698, 267, 1196, 563, 7437, 18279, 26396, 267, 30338, 8055, 568, 849, 513, 11397, 3448, 630, 476, 274, 6113, 23013, 2899, 6569, 3738, 540, 6723, 24527, 26396, 267, 519, 9721, 31075, 543, 24180, 563, 2690, 1383, 267, 5261, 9721, 729, 519, 676, 1467, 538, 667, 830, 23618, 633, 18225, 630, 5988, 267, 476, 3707, 273, 3738, 593, 1010, 476, 3707, 273, 1650, 834, 898, 16874, 547, 2142, 12653, 1457, 14307, 630, 2707, 540, 519, 476, 4198, 275, 21238, 670, 3558, 32024, 7260, 681, 792, 32001, 3738, 543, 1759, 593, 670, 269, 717, 269, 28243, 1412, 2110, 1650, 834, 3414, 513, 32001, 834, 563, 7437, 513, 6498, 540, 519, 7681, 1634, 607, 2480, 6759, 337, 630, 9721, 585, 834, 6060, 834, 264, 519, 717, 8150, 8992, 9721 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 27433, 11668, 27102, 1318, 540, 1857, 8574, 547, 513, 19574, 1268, 267, 859, 1112, 532, 513, 19574, 689, 1010, 17017, 1747, 540, 15335, 267, 4929, 2168, 267, 4638, 267, 11913, 267, 2804, 543, 3929, 6057, 267, 666, 581, 10336, 2213, 609, 26646, 540, 711, 1447, 982, 3670, 3275, 267, 602, 666, 8831, 909, 547, 1079, 1296, 269, 898, 10238, 1080, 7130, 1996, 513, 19574, 1268, 593, 12406, 1519, 24677, 267, 19944, 6672, 610, 15490, 2126, 538, 3872, 24284, 267, 2533, 267, 7694, 267, 3782, 269, 25890, 540, 3961, 281, 634, 9291, 2829, 602, 513, 19574, 1268, 4927, 723, 519, 1318, 547, 1582, 12656, 18727, 4008, 3961, 269, 589, 15149, 540, 3961, 666, 581, 5833, 693, 519, 10588, 7395, 626, 3433, 779, 5604, 543, 513, 15428, 15149, 568, 547, 581, 5833, 952, 3023, 568, 4957, 269, 634, 3915, 814, 513, 11865, 602, 2488, 19574, 519, 1318, 540, 15335, 609, 3237, 543, 7525, 1920, 2818, 269, 28054, 3800, 676, 519, 2229, 281, 634, 9291, 19528, 602, 519, 6554, 786, 25666, 19574, 6213, 267, 1875, 3613, 25634, 2358, 543, 1875, 1673, 4593, 3234, 22922, 10304, 14565, 543, 15961, 269, 634, 2229, 4927, 1683, 2069, 267, 5026, 543, 16351, 6703, 585, 19574, 1004, 269, 3038, 2888, 585, 5094, 7486, 13178, 18013, 543, 3023, 15260, 9892, 23361, 1058, 849, 581, 3177, 676, 519, 2229, 269, 634, 6239, 6554, 786, 1305, 909, 519, 2817, 7027, 585, 3690, 14054, 31080, 630, 301, 6311, 1916, 9558, 14054, 568, 513, 1268, 4171, 4008, 1281, 711, 6474, 609, 519, 4008, 8655, 547, 602, 1268, 693, 4332, 543, 2882, 1098, 17907, 610, 1098, 2914, 2674, 630, 31347, 610, 711, 971, 1268, 814, 22734, 11557, 1234, 817, 9892, 17889, 610, 9449, 3797, 610, 8955, 3797, 610, 971, 824, 3797, 1070, 1268, 609, 954, 16303, 7648, 267, 4008, 4302, 518, 543, 1268, 2348, 971, 8739, 14426, 9163, 607, 10252, 1676, 267, 554, 6359, 571, 267, 27442, 7079, 328, 543, 28185, 3279, 269, 1160, 22128, 1996, 7130, 281, 634, 2920, 10238, 1080, 519, 7130, 1996, 513, 19574, 1268, 267, 1519, 24677, 540, 3028, 610, 15490, 2126, 538, 6935, 547, 281, 630, 328, 264, 2069, 282, 630, 4512, 264, 7694, 282, 630, 13839, 264, 3782, 282, 630, 643, 264, 1569, 547, 267, 610, 18399, 540, 5370, 267, 6703, 267, 3255, 2139, 547, 519, 1857, 282, 630, 341, 264, 1318, 547, 3350, 282, 630, 12858, 264, 1318, 547, 21078, 267, 10519, 267, 610, 6382, 19582, 3959, 282, 630, 341, 4512, 264, 4316, 547, 3180, 1857, 610, 4357, 5604, 282, 543, 630, 341, 13839, 264, 1569, 547, 513, 2229, 610, 4357, 10661, 538, 4171, 1416, 610, 26692, 513, 19574, 1268, 568, 269, 3690, 326, 11367, 723, 519, 1739, 2924, 1107, 15335, 267, 7694, 267, 2069, 267, 1072, 6703, 547, 19574, 7606, 1519, 5094, 7486, 13178, 18013, 267, 543, 3023, 15260, 9892, 23361, 269, 15928, 30868, 1107, 634, 2229, 1058, 1118, 11865, 585, 3795, 540, 2564, 9276, 676, 513, 3102, 6142, 10325, 585, 11557, 1234, 817, 9892, 17889, 267, 17441, 3797, 267, 8955, 3797, 610, 1022, 824, 1072, 2152, 540, 19574, 7606, 269, 25890, 540, 3961, 585, 513, 19574, 1268, 547, 581, 9783, 676, 10588, 7395, 626, 3433, 269, 5510, 1878, 543, 20507, 281, 634, 2920, 17767, 519, 1739, 1055, 1878, 1996, 19574, 7606, 281, 630, 328, 264, 7142, 610, 27433, 11668, 630, 1410, 6984, 25471, 2229, 3028, 585, 1857, 5301, 1070, 630, 4512, 264, 24677, 540, 946, 454, 1993, 1857, 4025, 267, 630, 13839, 264, 8851, 689, 7622, 267, 543, 8498, 267, 630, 643, 264, 2168, 267, 4638, 267, 11913, 267, 3929, 610, 2804, 6057, 269, 6755, 531, 2906, 585, 891, 1055, 1878, 4268, 1063, 3670, 3275, 543, 1079, 1296, 267, 543, 513, 5386, 269, 2817, 7027, 585, 3690, 14054, 7606, 630, 301, 6311, 2567, 634, 715, 6311, 786, 2874, 540, 281, 630, 328, 264, 5742, 10579, 585, 4317, 10456, 630, 2419, 1515, 17367, 5148, 630, 4512, 264, 10579, 540, 3557, 585, 4317, 10456, 630, 309, 823, 268, 17348, 17367, 5148, 630, 13839, 264, 14199, 540, 519, 12080, 540, 4317, 10456, 282, 630, 643, 264, 835, 11347, 689, 1295, 31559, 1519, 2657, 267, 5851, 16457, 267, 543, 5274, 8249, 4886, 563, 8448, 2818, 1331, 13222, 540, 519, 22078, 2316, 589, 599, 690, 267, 543, 519, 2817, 5274, 7126, 8189, 269, 3557, 6608, 786, 849, 581, 6719, 269, 634, 7027, 786, 849, 2874, 540, 2947, 2818, 689, 519, 19574, 2146, 543, 2947, 4966, 689, 1875, 3766, 21194, 14540, 269, 0, 763, 12910, 23155, 7126, 4676, 619, 1677, 454, 1607, 2165, 4016, 2665, 454, 4263, 519, 2451, 540, 519, 4137, 616, 2238, 1644, 547, 12170, 7634, 269, 3557, 711, 609, 535, 6767, 6042, 267, 1519, 606, 11234, 269, 634, 2165, 6252, 2924, 4016, 547, 14520, 2818, 540, 1018, 22681, 3919, 16091, 9913, 4609, 538, 8303, 593, 5437, 476, 1724, 476, 1001, 276, 901, 2626, 814, 269, 6736, 891, 2924, 4016, 547, 3277, 547, 1685, 711, 25106, 6411, 799, 616, 1419, 14845, 1317, 1239, 616, 711, 269, 634, 9868, 568, 9672, 538, 519, 2013, 1876, 540, 519, 7981, 7040, 585, 23683, 2274, 821, 563, 5575, 5822, 543, 12059, 2622, 8315, 6732, 5741, 269, 912, 268, 2986, 4790, 745, 532, 634, 15928, 1323, 20260, 16301, 454, 268, 17318, 674, 597, 1280, 23452, 26671, 6732, 454, 268, 30905, 11657, 27752, 2473, 1186, 563, 268, 4563, 1849, 9476, 2494, 454, 268, 1703, 568, 513, 1644, 3390, 269, 6755, 531, 1399, 8779, 769, 12280, 306, 1460, 628, 267, 18765, 267, 607, 1134, 607, 2653, 547, 946, 543, 1174, 563, 268, 9365, 27748, 10496, 10849, 15394, 13401, 1310, 606, 2962, 814, 3144, 1747, 543, 1419, 3382, 513, 1895, 540, 8852, 269, 22682, 267, 20471, 267, 610, 931, 793, 2465, 540, 5370, 15189, 7127, 693, 1022, 2688, 5264, 896, 713, 3296, 949, 723, 1022, 973, 6847, 896, 519, 9821, 8907, 4031, 610, 949, 723, 519, 16185, 2016, 676, 713, 2920, 538, 2665, 5473, 5370, 15189, 7127, 610, 25868, 269, 16237, 28517, 18837, 6757, 1108, 1382, 7616, 585, 28595, 568, 606, 5907, 13374, 616, 1373, 7396, 538, 1840, 547, 581, 13380, 543, 2079, 267, 1317, 2126, 543, 269, 1924, 621, 568, 10375, 547, 1376, 676, 6236, 519, 2470, 543, 9165, 540, 602, 1876, 269, 26386, 513, 28866, 12358, 7467, 654, 1329, 563, 32743, 2581, 543, 519, 1523, 540, 16324, 2689, 941, 796, 6247, 6627, 543, 711, 269, 10910, 714, 617, 788, 657, 1080, 1118, 9073, 540, 519, 2165, 6252, 2924, 4016, 547, 286, 15845, 540, 519, 2783, 540, 519, 4123, 267, 14327, 1369, 24185, 616, 267, 23446, 610, 24163, 540, 519, 6167, 25943, 269, 1323, 16108, 1058, 581, 3144, 883, 1404, 269, 3943, 543, 5545, 13567, 269, 2136, 2276, 540, 3013, 269, 1261, 3459, 1603, 1010, 1378, 4930, 543, 3370, 1082, 26687, 3585, 610, 896, 15554, 11618, 269, 17235, 10644, 1299, 22518, 10456, 21602, 476, 1556, 6206, 12983, 476, 272, 269, 9701, 2486, 3398, 32270, 286, 7439, 1058, 1533, 543, 2199, 6608, 2508, 1382, 267, 4464, 539, 267, 782, 2043, 723, 1978, 7915, 2924, 602, 2392, 730, 519, 4367, 540, 3540, 1242, 7239, 563, 7069, 674, 2948, 2572, 12910, 23155, 1677, 7126, 634, 4676, 619, 563, 7197, 2228, 4704, 13366, 543, 4930, 798, 711, 723, 2985, 2338, 269, 25511, 1852, 568, 513, 11786, 3390, 602, 568, 827, 2123, 2924, 269, 901, 3609, 568, 711, 513, 12990, 585, 15388, 519, 3656, 2152, 602, 949, 8451, 538, 606, 1367, 2013, 269, 2422, 540, 6252, 2924, 4016, 547, 519, 2165, 568, 513, 7522, 24845, 5385, 540, 15668, 269, 5269, 741, 1378, 1382, 1184, 540, 519, 7005, 2665, 267, 2924, 547, 5123, 1354, 15385, 513, 12689, 269, 6115, 1683, 4922, 269, 15350, 11603, 547, 17303, 3180, 1239, 547, 15558, 3604, 1063, 519, 5665, 11250, 540, 1114, 3457, 267, 519, 1377, 540, 6111, 2838, 267, 616, 20244, 15490, 269, 9182, 711, 1491, 1747, 4704, 547, 286, 898, 568, 711, 581, 1759, 593, 513, 1876, 995, 1065, 5142, 531, 267, 2853, 1369, 513, 5758, 543, 10700, 3804, 729, 14661, 547, 2057, 2458, 4575, 609, 269, 1879, 2924, 4016, 547, 6252, 609, 2463, 547, 513, 1318, 269, 634, 2924, 4016, 547, 3277, 547, 948, 888, 10521, 610, 1020, 10368, 3457, 454, 268, 1677, 6536, 11413, 267, 1374, 5752, 543, 12319, 616, 3177, 269, 2677, 32606, 513, 4791, 4693, 538, 799, 1079, 610, 811, 2516, 540, 5171, 4309, 1114, 7459, 269, 3057, 12064, 642, 23885, 17461, 12834, 1299, 19043, 269, 1280, 4693, 14223, 824, 9333, 752, 902, 267, 543, 519, 2165, 814, 20109, 519, 6228, 610, 930, 2043, 540, 2924, 2147, 547, 581, 10805, 538, 3210, 568, 6157, 2009, 269, 15766, 2209, 547, 3631, 267, 649, 3112, 6655, 6835, 538, 519, 6408, 1590, 24559, 2933, 538, 796, 22497, 543, 547, 2924, 616, 2196, 585, 513, 2783, 593, 11994, 540, 519, 269, 1879, 596, 2132, 547, 519, 6313, 6728, 267, 519, 29611, 540, 856, 571, 2471, 2390, 2123, 15683, 267, 855, 1152, 2982, 875, 519, 2029, 5222, 4199, 8928, 269, 769, 713, 9183, 267, 621, 1590, 1101, 581, 5078, 269, 654, 3994, 995, 31710, 543, 18837, 2257, 281, 634, 991, 547, 10038, 6760, 22475, 269, 8210, 2125, 577, 10762, 11620, 1403, 972, 568, 1100, 3247, 1899, 610, 3444, 19769, 267, 543, 865, 593, 269, 6356, 4369, 5510, 2658, 20497, 1646, 540, 1863, 3301, 568, 1100, 3476, 8966, 282, 971, 1863, 5010, 3301, 568, 1360, 1271, 269, 2368, 6608, 723, 5189, 519, 946, 540, 1979, 6248, 338, 607, 606, 4824, 3354, 2268, 538, 29307, 1780, 7964, 267, 4611, 538, 18687, 547, 6285, 547, 3313, 519, 10569, 1031, 269, 16709, 540, 3140, 14501, 538, 2257, 666, 1683, 3255, 585, 1053, 547, 2697, 519, 2093, 267, 607, 513, 5339, 267, 865, 707, 15376, 3498, 786, 581, 1500, 998, 938, 2518, 3896, 269, 634, 4147, 589, 2388, 6820, 6651, 2475, 700, 987, 600, 1299, 20242, 9469, 700, 10861, 269, 634, 2165, 1412, 1706, 5537, 2924, 262, 4016, 547, 589, 7126, 16798, 676, 513, 1533, 11156, 602, 616, 2147, 547, 519, 2924, 16798, 676, 519, 2475, 11156, 645, 7126, 269, 25890, 563, 268, 14959, 267, 610, 540, 519, 1543, 540, 2792, 1644, 547, 602, 11834, 269, 1280, 948, 609, 2564, 2474, 1294, 519, 2405, 1467, 31936, 6481, 15610, 5530, 2594, 9946, 1058, 3277, 547, 519, 16257, 32310, 4578, 269, 634, 594, 10135, 290, 1568, 593, 519, 4493, 540, 22637, 269, 2290, 1870, 789, 666, 3277, 596, 949, 610, 949, 581, 14360, 1394, 982, 1200, 28643, 16172, 27502, 971, 2963, 269, 12601, 19324, 20138, 1218, 17567, 547, 1719, 2557, 28654, 543, 17613, 267, 941, 5916, 609, 6932, 3029, 540, 2564, 267, 1454, 5673, 2390, 2436, 519, 2963, 6035, 568, 6325, 269, 3657, 711, 6252, 543, 519, 5373, 568, 9286, 607, 513, 5133, 16879, 269, 634, 11083, 293, 8534, 14898, 21078, 1369, 11298, 297, 269, 901, 1797, 602, 621, 568, 711, 513, 23610, 3390, 855, 513, 3656, 835, 269, 808, 5459, 25007, 563, 268, 634, 14664, 2465, 1281, 711, 3144, 519, 2165, 6252, 2924, 547, 519, 5106, 540, 286, 12229, 568, 2324, 3652, 2229, 3483, 568, 27838, 676, 11488, 2829, 602, 4016, 547, 519, 6252, 2924, 1131, 581, 2963, 540, 519, 10178, 543, 269, 634, 1148, 540, 1603, 513, 3621, 2376, 269, 1403, 972, 568, 1100, 5478, 1369, 713, 1974, 267, 519, 15034, 941, 9901, 609, 519, 705, 9134, 540, 1896, 4627, 2818, 540, 519, 6167, 17030, 538, 23683, 2274, 821, 4708, 15209, 4229, 543, 609, 1210, 873, 607, 3984, 1137, 269, 4634, 952, 1100, 1808, 9819, 568, 17298, 267, 29071, 267, 6920, 519, 4110, 540, 10727, 610, 21341, 602, 519, 1870, 666, 1747, 593, 513, 1184, 8236, 519, 5551, 3853, 610, 6859, 269, 634, 2243, 729, 519, 6708, 547, 799, 513, 12497, 16726, 666, 3313, 2436, 972, 568, 513, 10171, 540, 10539, 269, 15215, 610, 14097, 2907, 16109, 856, 269, 2986, 519, 2817, 9142, 540, 7070, 607, 513, 6252, 3919, 540, 14222, 679, 268, 269, 30334, 10326, 2423, 11789, 563, 268, 3038, 3660, 1657, 5018, 1657, 741, 1318, 547, 3277, 4896, 945, 616, 1114, 2474, 543, 2165, 269, 634, 24769, 568, 5701, 607, 952, 621, 5342, 922, 1870, 593, 15773, 540, 519, 2924, 23649, 269, 6452, 7951, 566, 13668, 1419, 9305, 547, 960, 16131, 267, 2523, 3823, 519, 13753, 789, 616, 10647, 543, 519, 7422, 789, 616, 1818, 269, 1879, 972, 568, 6870, 676, 713, 3296, 610, 519, 2165, 6252, 4016, 547, 2924, 1223, 849, 3082, 543, 945, 29875, 269, 3689, 519, 1523, 540, 14353, 28944, 2919, 607, 606, 1858, 538, 799, 7453, 269, 21584, 1656, 5071, 1473, 340, 2758 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 602, 949, 581, 11117, 538, 713, 2376, 267, 610, 3409, 602, 949, 581, 1500, 676, 922, 10672, 267, 568, 711, 16798, 610, 31045, 676, 519, 17404, 563, 763, 4589, 1131, 899, 547, 9684, 782, 540, 519, 20691, 945, 8067, 1229, 741, 942, 282, 1510, 873, 713, 1788, 1131, 711, 723, 1044, 2009, 563, 763, 4675, 11915, 7698, 585, 713, 2376, 666, 581, 1336, 2228, 693, 281, 4179, 2517, 4178, 8807, 3224, 4536, 514, 3820, 270, 14895, 270, 1015, 269, 24783, 280, 11721, 333, 322, 597, 269, 1708, 272, 269, 278, 2537, 27843, 270, 21459, 258, 26625, 11915, 2173, 1468, 454, 17951, 340, 5028, 267, 808, 269, 589, 1421, 1234, 17458, 6441, 648, 333, 345, 267, 623, 269, 589, 1421, 654, 3739, 5069, 267, 667, 269, 570, 1421, 543, 1530, 573, 2401, 267, 681, 269, 667, 269, 630, 1001, 271, 1040, 19928, 1903, 540, 8901, 2324, 3965, 547, 1471, 340, 558, 19318, 1565, 269, 808, 269, 595, 1758, 269, 11671, 338, 857, 269, 476, 2420, 267, 476, 4489, 278, 1700, 4350, 271, 269, 8222, 281, 476, 1015, 269, 14138, 273, 10768, 665, 333, 269, 1220, 280, 269, 22659, 7906, 454, 17951, 340, 5028, 267, 808, 269, 589, 1421, 1234, 17458, 6441, 648, 333, 345, 267, 623, 269, 589, 1421, 654, 3739, 5069, 267, 667, 269, 570, 1421, 543, 1530, 573, 2401, 267, 681, 269, 667, 269, 630, 1001, 272, 1040, 23299, 547, 4497, 8901, 2324, 3965, 8309, 547, 2085, 5829, 23229, 538, 1471, 340, 558, 19318, 1565, 269, 808, 269, 595, 1758, 269, 11671, 338, 857, 269, 476, 2537, 267, 476, 1556, 1700, 1839, 269, 8222, 281, 476, 1015, 269, 14138, 273, 10768, 665, 333, 269, 1001, 271, 269, 20969, 7906, 454, 15368, 1676, 267, 631, 1421, 853, 23167, 267, 589, 269, 595, 1421, 715, 553, 337, 7236, 267, 808, 1421, 667, 532, 525, 267, 667, 269, 674, 1421, 18703, 267, 570, 269, 631, 1421, 717, 584, 267, 681, 269, 595, 1421, 1696, 620, 269, 630, 1708, 272, 1040, 12186, 540, 2212, 16365, 28550, 5127, 1964, 7132, 11506, 2910, 273, 593, 5042, 2773, 269, 808, 269, 10331, 269, 4284, 2723, 269, 476, 9873, 267, 476, 11277, 276, 1700, 14862, 277, 269, 8222, 281, 476, 1015, 269, 12893, 273, 10768, 1952, 331, 31850, 2723, 269, 25484, 4792, 269, 1708, 271, 454, 13051, 15924, 328, 267, 962, 1421, 543, 670, 5255, 6199, 267, 962, 269, 630, 1960, 276, 1040, 2552, 13764, 519, 7301, 6602, 2557, 281, 513, 4052, 543, 3532, 1935, 547, 2789, 4152, 269, 808, 269, 681, 269, 6465, 269, 17502, 269, 5395, 269, 645, 6465, 269, 6396, 565, 269, 476, 6872, 267, 476, 29579, 1700, 4968, 269, 8222, 281, 476, 1015, 269, 9340, 272, 10768, 269, 25172, 278, 268, 277, 1626, 272, 269, 1960, 276, 6745, 321, 22903, 4029, 11859, 454, 14937, 267, 674, 269, 744, 1421, 6022, 657, 7288, 267, 654, 269, 670, 1421, 1684, 343, 5674, 8566, 553, 3118, 267, 667, 269, 667, 1421, 543, 1763, 577, 651, 267, 631, 269, 674, 269, 630, 1960, 276, 1040, 966, 652, 24212, 29010, 1739, 20771, 2230, 325, 2775, 281, 6051, 689, 2022, 325, 2775, 2022, 1116, 16132, 269, 2920, 320, 744, 1729, 700, 28640, 565, 269, 4675, 331, 269, 476, 26392, 623, 339, 476, 273, 267, 476, 14596, 1700, 3393, 275, 269, 8222, 281, 476, 1015, 269, 20542, 280, 270, 1822, 13932, 279, 4817, 6021, 272, 21857, 9834, 454, 14937, 267, 674, 269, 744, 1421, 6022, 657, 7288, 267, 654, 269, 670, 1421, 1763, 577, 651, 267, 631, 269, 674, 1421, 594, 3258, 20076, 267, 631, 1421, 2871, 539, 787, 267, 674, 1421, 543, 18722, 267, 667, 269, 808, 269, 630, 1960, 280, 1040, 2598, 8306, 540, 2022, 1116, 1224, 2194, 566, 676, 16931, 658, 15128, 1739, 2230, 8184, 269, 808, 269, 966, 652, 756, 269, 1763, 269, 476, 280, 267, 476, 3607, 280, 1700, 274, 4281, 269, 8222, 281, 476, 1015, 269, 26825, 274, 270, 1407, 268, 1960, 280, 268, 31405, 277, 454, 289, 5979, 558, 6199, 267, 808, 269, 808, 1421, 22642, 267, 645, 269, 570, 1421, 28137, 267, 670, 269, 590, 1421, 543, 25109, 822, 4673, 267, 589, 269, 623, 269, 630, 1001, 276, 1040, 31514, 16106, 2773, 1210, 9300, 574, 19318, 13916, 2866, 269, 13571, 269, 5204, 560, 269, 11671, 338, 857, 269, 476, 280, 281, 15782, 269, 8222, 281, 476, 1015, 269, 24783, 280, 11721, 985, 903, 269, 1001, 276, 269, 9826, 3066, 454, 289, 5979, 558, 6199, 267, 808, 269, 808, 1421, 22642, 267, 645, 269, 570, 1421, 8055, 267, 590, 269, 700, 1421, 670, 826, 321, 1676, 267, 654, 269, 623, 1421, 543, 1763, 577, 651, 267, 631, 269, 674, 269, 630, 1960, 278, 1040, 16511, 558, 19318, 2212, 2389, 337, 6064, 11558, 2994, 1739, 2230, 8184, 269, 808, 269, 966, 652, 756, 269, 1763, 269, 476, 278, 267, 476, 14065, 1700, 10082, 269, 8222, 281, 476, 1015, 269, 26825, 274, 270, 1407, 268, 1960, 278, 268, 7761, 268, 28906, 454, 289, 1442, 267, 744, 1421, 1284, 580, 3881, 267, 595, 1421, 543, 25204, 6199, 267, 808, 269, 808, 269, 630, 1001, 271, 1040, 15465, 3747, 540, 1480, 9300, 574, 19318, 2773, 1282, 606, 6905, 2230, 5692, 281, 513, 12242, 2389, 2532, 1353, 269, 2997, 9332, 269, 6611, 30287, 269, 2405, 269, 476, 10037, 267, 476, 279, 866, 1700, 279, 2190, 269, 8222, 281, 476, 1015, 269, 28178, 278, 270, 553, 655, 269, 18605, 279, 269, 1001, 271, 454, 289, 1195, 548, 267, 681, 1421, 631, 839, 5424, 267, 589, 269, 674, 1421, 962, 9655, 5866, 267, 918, 1421, 2974, 14241, 267, 590, 1421, 2271, 571, 9366, 807, 267, 589, 1421, 570, 878, 553, 267, 570, 1421, 1696, 620, 269, 630, 1220, 272, 1040, 22532, 1224, 2194, 566, 547, 3047, 779, 8904, 1739, 2132, 689, 2230, 269, 808, 269, 11671, 31850, 2723, 269, 476, 10436, 267, 476, 21076, 279, 1700, 18891, 273, 269, 8222, 281, 476, 1015, 269, 12893, 273, 10768, 333, 269, 1220, 272, 269, 10436, 269, 275, 269, 21076, 279, 454, 289, 32569, 990, 267, 594, 269, 594, 1421, 962, 655, 601, 685, 12505, 990, 267, 631, 269, 667, 1421, 4223, 3272, 5271, 267, 589, 269, 667, 1421, 31615, 572, 341, 267, 661, 269, 594, 1421, 20579, 553, 990, 267, 594, 269, 918, 1421, 962, 752, 990, 4582, 320, 267, 594, 269, 918, 1421, 1696, 620, 269, 630, 3192, 277, 1040, 6611, 4469, 2074, 769, 634, 590, 1195, 15120, 6611, 8154, 281, 4437, 32441, 3194, 269, 4414, 6229, 4975, 267, 11404, 281, 20855, 1676, 4889, 919, 563, 5141, 2946, 618, 267, 717, 269, 681, 1421, 15196, 548, 267, 681, 269, 667, 1421, 6723, 267, 918, 269, 589, 1421, 20307, 267, 717, 269, 589, 1421, 1763, 577, 651, 267, 631, 269, 674, 1421, 13879, 267, 570, 269, 808, 1421, 1696, 620, 269, 630, 1708, 271, 1040, 12694, 547, 519, 3844, 8401, 1062, 1282, 1480, 2230, 325, 2775, 13485, 547, 9370, 269, 808, 269, 11671, 31850, 2723, 269, 476, 11277, 267, 476, 10711, 278, 1700, 18684, 274, 269, 8222, 281, 476, 1015, 269, 12893, 273, 10768, 333, 269, 21916, 10602, 269, 1001, 280, 454, 5141, 2946, 618, 267, 717, 1421, 7200, 516, 10098, 267, 715, 1421, 590, 748, 320, 267, 667, 1421, 543, 2098, 663, 341, 331, 2884, 267, 589, 269, 630, 1001, 277, 1040, 32185, 540, 19838, 12510, 878, 3845, 1282, 14965, 2242, 538, 1612, 20326, 8184, 269, 12813, 24382, 2290, 476, 1556, 281, 324, 27888, 280, 5655, 273, 269, 8222, 281, 476, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 27888, 280, 5655, 273, 454, 5719, 6742, 3626, 267, 661, 1421, 6428, 14137, 328, 267, 590, 269, 661, 1421, 32095, 2471, 267, 623, 269, 654, 1421, 670, 1938, 267, 808, 1421, 14811, 25669, 267, 918, 1421, 13891, 2224, 267, 667, 1421, 1696, 620, 269, 630, 1708, 272, 1040, 3955, 18283, 550, 2110, 268, 1301, 25916, 566, 568, 513, 13148, 2500, 4831, 1889, 5501, 1996, 20005, 3666, 1033, 3266, 2747, 1739, 476, 2568, 6377, 2212, 16365, 28550, 5127, 1964, 269, 808, 269, 10331, 269, 4284, 269, 476, 14530, 267, 476, 6924, 280, 1700, 3583, 272, 269, 8222, 281, 476, 1015, 269, 12893, 273, 10768, 1952, 331, 31850, 2723, 269, 9826, 3199, 269, 1708, 272, 454, 12626, 267, 918, 269, 700, 1421, 25204, 6199, 267, 808, 269, 808, 1421, 25109, 822, 4673, 267, 589, 269, 623, 1421, 543, 1773, 719, 345, 4149, 5500, 1457, 267, 700, 269, 700, 269, 630, 1001, 280, 1040, 11644, 4831, 1889, 9778, 547, 29648, 31100, 632, 935, 1288, 532, 538, 2230, 325, 2775, 269, 1290, 1440, 269, 4284, 2723, 269, 476, 1015, 267, 476, 14378, 1700, 3422, 269, 8222, 281, 476, 1015, 269, 1911, 273, 11305, 19148, 6983, 5002, 22650, 454, 12626, 267, 918, 269, 700, 1421, 667, 12495, 267, 631, 1421, 3619, 21255, 3780, 267, 661, 1421, 11370, 868, 517, 267, 681, 269, 661, 1421, 27550, 1457, 267, 808, 269, 654, 1421, 1773, 719, 345, 4149, 5500, 1457, 267, 681, 269, 808, 1421, 1696, 620, 269, 630, 1708, 271, 1040, 4400, 8515, 2866, 1282, 2230, 325, 2775, 281, 2164, 689, 519, 8331, 590, 2745, 5530, 269, 26128, 297, 5843, 6588, 6143, 476, 277, 281, 2641, 563, 293, 21884, 267, 570, 1421, 5682, 267, 667, 269, 589, 1421, 25109, 1457, 267, 661, 1421, 715, 641, 701, 267, 589, 1421, 1488, 345, 267, 631, 1421, 623, 755, 578, 531, 578, 267, 654, 1421, 1696, 620, 269, 630, 1708, 271, 1040, 570, 11217, 1464, 540, 3232, 26740, 610, 6024, 2110, 268, 1301, 25916, 566, 1282, 476, 2568, 6377, 476, 277, 334, 2212, 1524, 5127, 1964, 630, 8980, 16576, 2464, 288, 1353, 1040, 12813, 24382, 2290, 476, 1428, 281, 324, 271, 2537, 280, 2420, 279, 269, 8222, 281, 476, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 271, 2537, 280, 2420, 279, 454, 294, 19128, 1777, 5174, 752, 601, 2006, 267, 674, 269, 661, 1421, 667, 1513, 6062, 267, 631, 1421, 5682, 267, 590, 269, 808, 1421, 717, 584, 267, 681, 269, 595, 1421, 6931, 267, 700, 1421, 5839, 5362, 267, 645, 269, 681, 1421, 1696, 620, 269, 630, 1001, 280, 1040, 634, 8331, 21054, 1353, 281, 513, 17326, 7645, 2079, 540, 513, 1032, 17489, 1480, 2230, 325, 2775, 269, 3163, 476, 3607, 275, 281, 20660, 879, 279, 4792, 271, 563, 295, 718, 326, 1066, 267, 661, 1421, 918, 1941, 559, 13960, 267, 700, 1421, 2605, 753, 523, 267, 661, 1421, 717, 1663, 16223, 16554, 267, 667, 1421, 18703, 267, 590, 269, 570, 1421, 1849, 2946, 618, 267, 717, 1421, 1696, 620, 269, 630, 1001, 277, 1040, 28206, 1078, 17333, 14663, 24975, 22514, 24212, 3210, 538, 476, 1839, 20691, 13251, 676, 1279, 1673, 4851, 2230, 325, 2775, 269, 808, 269, 11671, 31850, 2723, 269, 476, 12893, 267, 476, 19054, 276, 1700, 25134, 272, 269, 8222, 281, 476, 1015, 269, 12893, 273, 10768, 333, 269, 1822, 4792, 269, 1001, 277, 454, 295, 1575, 26709, 267, 918, 269, 661, 1421, 17755, 2958, 528, 267, 670, 269, 681, 1421, 918, 31463, 601, 332, 753, 267, 966, 1421, 25028, 3757, 267, 715, 269, 661, 1421, 918, 1993, 2006, 267, 594, 269, 590, 1421, 1546, 667, 3930, 267, 962, 269, 661, 1421, 1696, 620, 269, 630, 1708, 272, 1040, 11020, 543, 8965, 2963, 585, 556, 7076, 532, 540, 22514, 24212, 11378, 609, 1279, 1673, 4851, 2230, 325, 2775, 269, 24583, 321, 269, 23634, 1410, 536, 4725, 26839, 269, 8222, 281, 476, 1015, 269, 11820, 274, 270, 1356, 14585, 11486, 4725, 26839, 1496, 22977, 889, 6619, 540, 1820, 14073, 295, 1575, 26709, 267, 918, 269, 661, 1421, 17755, 2958, 528, 267, 670, 269, 681, 1421, 10557, 267, 808, 269, 918, 1421, 25028, 3757, 267, 715, 269, 661, 1421, 918, 1993, 2006, 267, 594, 269, 590, 1421, 1546, 667, 3930, 267, 962, 269, 661, 1421, 1696, 620, 269, 630, 1708, 271, 320, 1040, 634, 1764, 540, 476, 277, 543, 476, 1321, 3275, 538, 2230, 593, 1480, 2634, 2497, 543, 703, 2350, 31424, 5714, 10593, 269, 24583, 321, 269, 23634, 1410, 4004, 269, 476, 272, 281, 339, 8615, 320, 271, 2537, 563, 295, 1575, 26709, 267, 918, 269, 661, 1421, 17755, 2958, 528, 267, 670, 269, 681, 1421, 1234, 17458, 6441, 648, 333, 345, 267, 623, 269, 589, 1421, 543, 1530, 573, 2401, 267, 681, 269, 667, 269, 630, 1708, 271, 321, 1040, 5843, 6588, 6143, 2360, 593, 519, 1480, 2634, 543, 2623, 281, 14524, 543, 13261, 29010, 269, 11671, 338, 857, 269, 4437, 12786, 6409 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1422, 322, 924, 346, 293, 6064, 1960, 277, 20467, 1358, 4362, 602, 1896, 4573, 1218, 17820, 6825, 569, 4389, 2238, 3379, 547, 3552, 6943, 533, 7871, 950, 7318, 1996, 13618, 533, 7871, 3210, 2609, 269, 12830, 569, 267, 789, 4857, 1808, 13592, 4929, 2347, 705, 5766, 566, 540, 6223, 10474, 4390, 267, 11021, 602, 930, 533, 7871, 4573, 1218, 957, 607, 8789, 2258, 2510, 676, 3524, 6856, 532, 1071, 2399, 832, 2556, 585, 3339, 533, 7871, 1599, 780, 277, 269, 273, 269, 274, 27148, 540, 4427, 14978, 10871, 1436, 18963, 454, 2704, 614, 725, 538, 1016, 14978, 31338, 3270, 2099, 1776, 1455, 7271, 998, 799, 13592, 7519, 3940, 1599, 269, 12071, 2803, 12412, 22794, 3091, 606, 5140, 2645, 564, 547, 4983, 891, 3344, 11617, 269, 3115, 7163, 21437, 17683, 535, 16272, 1063, 24638, 5946, 630, 324, 3052, 1421, 717, 17025, 267, 962, 17025, 267, 16674, 303, 264, 543, 2901, 3552, 6943, 610, 30354, 533, 7871, 7520, 9477, 540, 3940, 31338, 6384, 1369, 2713, 2281, 1422, 322, 924, 346, 312, 836, 1001, 272, 20467, 5047, 267, 1476, 5914, 22794, 6087, 21800, 5464, 540, 2789, 9072, 267, 3850, 6268, 540, 1761, 897, 5914, 1436, 2621, 22566, 540, 6198, 5872, 11444, 22314, 2390, 4367, 540, 1808, 13592, 780, 7078, 281, 1323, 17715, 17431, 540, 7311, 1016, 14978, 31338, 2079, 2501, 689, 519, 960, 540, 2473, 542, 326, 1696, 620, 1421, 945, 8947, 519, 2623, 540, 533, 7871, 4573, 1218, 26582, 538, 9149, 6363, 571, 18210, 328, 6794, 267, 513, 22420, 4524, 19753, 19397, 4299, 2043, 547, 3309, 3029, 540, 2038, 268, 976, 564, 11871, 1422, 322, 924, 346, 311, 542, 326, 1001, 273, 20467, 4256, 2164, 4951, 11495, 3765, 29985, 1436, 3270, 585, 1896, 4573, 1218, 1107, 16113, 267, 11118, 32194, 13250, 2864, 982, 12600, 6046, 15335, 4767, 609, 3552, 6943, 533, 7871, 269, 4329, 13753, 20114, 3209, 5107, 5129, 676, 891, 4573, 1218, 538, 1110, 6819, 519, 2534, 540, 1585, 15202, 22107, 3547, 5665, 3544, 519, 13540, 267, 3976, 7700, 547, 15910, 14003, 780, 277, 269, 273, 269, 275, 16214, 540, 19871, 853, 1464, 543, 21009, 21509, 454, 300, 20706, 666, 849, 1860, 3940, 6617, 543, 24826, 3928, 267, 28955, 607, 12012, 3368, 3734, 2418, 543, 18687, 547, 12159, 12227, 269, 17240, 572, 29677, 21458, 5916, 609, 11050, 2527, 26563, 4479, 4564, 513, 3532, 4640, 547, 2268, 3940, 737, 27282, 8308, 1422, 322, 924, 346, 289, 1180, 13873, 14150, 1001, 274, 20467, 2991, 17861, 908, 2281, 11589, 3552, 6943, 610, 30354, 533, 7871, 609, 14599, 8715, 542, 710, 543, 2166, 4614, 710, 630, 1492, 865, 10777, 13942, 5123, 1070, 7766, 8851, 540, 4430, 2234, 2723, 8475, 539, 11254, 7408, 4384, 919, 519, 29677, 1974, 269, 6341, 7204, 620, 1172, 1824, 936, 942, 2636, 8990, 540, 6967, 5925, 13808, 2404, 609, 533, 7871, 2249, 267, 3246, 5813, 883, 741, 9757, 588, 3809, 269, 5015, 267, 32485, 1808, 3334, 540, 519, 21866, 1588, 3491, 974, 553, 727, 1062, 3743, 585, 6098, 3940, 17594, 2337, 20559, 2436, 2799, 24826, 8309, 547, 16132, 780, 7078, 281, 16792, 13942, 29677, 21458, 16097, 267, 2983, 344, 514, 345, 2993, 1696, 620, 269, 8268, 519, 4539, 540, 2185, 15768, 570, 303, 7871, 13592, 1336, 538, 6089, 2860, 2550, 1422, 322, 924, 346, 294, 5674, 514, 345, 2993, 1001, 277, 20467, 25408, 267, 789, 9571, 8101, 20214, 538, 3368, 3734, 2418, 585, 782, 7318, 14726, 3379, 547, 3552, 6943, 533, 7871, 267, 10834, 8476, 13438, 547, 2926, 553, 10095, 12159, 269, 21452, 267, 14278, 1670, 6304, 6322, 693, 17527, 2926, 553, 727, 2534, 13148, 11324, 4240, 519, 6617, 540, 5697, 4573, 1218, 267, 10223, 1761, 9354, 3255, 1759, 593, 11808, 540, 19847, 533, 7871, 1599, 780, 6962, 454, 1607, 3184, 814, 3177, 606, 7650, 540, 8047, 6901, 6964, 547, 1449, 19165, 1644, 547, 6198, 12889, 538, 1591, 543, 7636, 7350, 267, 2519, 5097, 593, 519, 18840, 20200, 531, 10510, 16401, 528, 3940, 533, 7871, 269, 3414, 11826, 6514, 540, 7293, 10305, 267, 538, 20117, 6198, 10526, 267, 1016, 14978, 3892, 3270, 267, 543, 3940, 737, 27282, 267, 3173, 2744, 1898, 1620, 540, 519, 2964, 2065, 29298, 18913, 4719, 15087, 269, 6270, 1344, 711, 1152, 8441, 4909, 3621, 1702, 855, 849, 28279, 6037, 1049, 3646, 28110, 4724, 3384, 5499, 2994, 547, 8396, 3676, 5532, 547, 29840, 532, 10408, 12227, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 7072, 547, 12524, 3194, 538, 8426, 543, 17449, 10334, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 547, 12524, 3194, 538, 8426, 543, 17449, 10334, 2580, 834, 273, 269, 17449, 4485, 547, 21656, 10510, 23938, 13592, 2580, 834, 274, 269, 10020, 540, 533, 7871, 607, 26851, 540, 519, 32081, 2580, 834, 275, 269, 17449, 14839, 3292, 2580, 834, 276, 269, 2667, 11691, 30354, 533, 7871, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 277, 269, 17449, 3137, 585, 6198, 12889, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 277, 269, 272, 269, 3117, 573, 3130, 540, 513, 3126, 540, 7636, 3137, 585, 519, 6198, 12889, 540, 519, 533, 7871, 30354, 1373, 6594, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 277, 269, 273, 269, 6997, 6901, 547, 1449, 19165, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 763, 1543, 1058, 2832, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 538, 519, 1888, 269, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 269, 0, 594, 2760, 2219, 594, 1131, 2479, 3643, 3624, 267, 855, 950, 1250, 11078, 5143, 803, 1352, 729, 3478, 9310, 547, 1200, 4457, 535, 1014, 322, 2946, 267, 594, 6785, 594, 1185, 547, 7390, 741, 16806, 538, 30715, 345, 1156, 269, 1306, 606, 28048, 2951, 518, 267, 594, 4941, 547, 1118, 2386, 594, 4810, 782, 519, 2199, 9821, 543, 5389, 1282, 1250, 3251, 269, 1924, 267, 594, 3576, 547, 2228, 15473, 547, 1265, 856, 1018, 2186, 540, 2189, 2686, 2833, 941, 2139, 538, 30715, 345, 1156, 780, 3080, 3593, 6700, 9683, 834, 20360, 578, 540, 519, 2622, 2437, 799, 32131, 4277, 2614, 910, 621, 12286, 20538, 8747, 540, 11599, 3889, 899, 519, 661, 858, 601, 18975, 543, 29069, 10067, 531, 269, 898, 8604, 899, 513, 1390, 1259, 547, 1294, 519, 1158, 1510, 6028, 835, 2749, 256, 6271, 16252, 729, 667, 2378, 523, 13813, 27006, 22810, 267, 1141, 596, 1223, 7198, 2199, 29048, 2870, 10875, 25704, 1318, 1354, 707, 4064, 269, 1656, 875, 1223, 594, 7340, 827, 18656, 3101, 538, 8949, 22616, 2158, 324, 8265, 1426, 267, 1945, 594, 7948, 1405, 4413, 1247, 3695, 519, 7524, 10754, 540, 30715, 345, 1156, 780, 7069, 5172, 19583, 267, 1498, 267, 3357, 689, 1776, 8468, 4759, 3957, 15039, 269, 2701, 5018, 11504, 513, 2757, 4457, 22968, 2773, 693, 715, 753, 7315, 20989, 269, 3733, 2295, 2220, 8215, 609, 10761, 282, 7487, 513, 2661, 1397, 14869, 539, 538, 5553, 6040, 2245, 5433, 11212, 2027, 269, 9741, 1705, 594, 917, 1175, 875, 26374, 713, 1995, 1131, 1831, 780, 2026, 4166, 607, 594, 8452, 693, 519, 14364, 267, 594, 8068, 513, 1762, 8004, 9361, 1985, 547, 803, 269, 4173, 2647, 4064, 10630, 519, 3942, 8279, 267, 543, 649, 22121, 1159, 3796, 2429, 519, 10543, 269, 4438, 954, 3939, 267, 1352, 13351, 909, 513, 6643, 609, 803, 267, 8049, 827, 1946, 594, 8359, 547, 4585, 606, 3504, 1148, 1106, 14542, 547, 1034, 5375, 619, 269, 1284, 14437, 6612, 2299, 827, 938, 2648, 585, 2575, 543, 7544, 267, 543, 594, 4362, 1352, 3838, 1250, 25505, 585, 2413, 29478, 269, 6969, 649, 6785, 621, 267, 1225, 1555, 1289, 14059, 267, 15202, 519, 1439, 540, 938, 17175, 7237, 269, 1809, 12556, 1185, 824, 4566, 780, 4263, 12129, 2663, 602, 3781, 267, 594, 10443, 883, 519, 1482, 2370, 8004, 1586, 1107, 4849, 1631, 267, 1352, 7012, 1405, 4805, 269, 6452, 558, 11952, 532, 1200, 729, 9039, 824, 982, 1200, 22516, 267, 513, 12021, 623, 22701, 28709, 1685, 518, 256, 1261, 1178, 19290, 14376, 803, 1394, 560, 720, 1310, 1010, 2773, 267, 3850, 803, 1569, 547, 7747, 31667, 1023, 543, 1451, 811, 827, 519, 6946, 3877, 3297, 1142, 23972, 543, 11132, 4082, 269, 901, 791, 668, 696, 340, 5870, 9927, 1250, 7552, 689, 3274, 11287, 4914, 4529, 547, 8362, 10283, 538, 873, 780, 288, 3018, 5293, 3533, 267, 4904, 609, 20605, 8823, 543, 1007, 17052, 269, 2201, 1250, 2063, 1554, 267, 519, 1920, 4843, 803, 609, 513, 1688, 8154, 539, 10178, 13556, 676, 519, 6264, 11985, 5128, 269, 2060, 17229, 538, 1250, 4064, 267, 594, 9684, 539, 1864, 1527, 2224, 569, 585, 6679, 1010, 1158, 547, 803, 269, 3776, 5618, 7237, 18056, 803, 540, 519, 5898, 540, 10707, 910, 711, 1152, 798, 649, 3605, 30152, 3338, 267, 855, 3006, 789, 7866, 2933, 547, 721, 1932, 780, 3383, 952, 4896, 12134, 2436, 972, 616, 2189, 2686, 2833, 4502, 2348, 538, 30715, 345, 1156, 267, 2995, 873, 9811, 267, 11613, 269, 3245, 14952, 532, 693, 2518, 24069, 693, 32001, 540, 519, 2622, 547, 7680, 20250, 519, 9059, 540, 4457, 22968, 267, 891, 8090, 786, 11014, 2611, 31960, 538, 707, 3965, 269, 5808, 6487, 267, 6148, 596, 3513, 1256, 588, 18443, 2390, 513, 2899, 2987, 8584, 2000, 604, 8135, 4316, 899, 9553, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 2108, 6701, 972, 1022, 2189, 2686, 2833, 602, 14666, 666, 7119, 538, 1247, 9683, 30715, 345, 1156, 888, 296, 1810, 1405, 723, 2123, 2833, 610, 24221, 269, 2705, 267, 1934, 616, 930, 2442, 2686, 2833, 602, 14666, 666, 7119, 538, 1247, 9683, 521, 1156, 345, 1156, 1384, 272, 269, 9683, 519, 6885, 540, 519, 1158, 281, 713, 6249, 6288, 2934, 18187, 553, 540, 4583, 21056, 689, 1472, 519, 1158, 267, 971, 607, 519, 552, 858, 601, 13486, 543, 519, 512, 1690, 30652, 531, 780, 273, 269, 9683, 546, 2378, 523, 3282, 7206, 8498, 281, 713, 8498, 568, 1634, 585, 922, 1804, 2146, 540, 5159, 945, 1711, 543, 6133, 3282, 10367, 780, 274, 269, 11504, 513, 24349, 22968, 281, 521, 1156, 345, 1156, 814, 513, 1906, 519, 11596, 602, 3984, 2757, 24349, 22968, 12644, 780, 275, 269, 9683, 519, 521, 1156, 345, 1156, 9754, 281, 713, 9754, 20502, 519, 1686, 543, 2528, 540, 521, 1156, 345, 1156, 267, 1519, 15225, 593, 922, 1646, 543, 6639, 7760, 780, 276, 269, 3843, 8265, 1426, 281, 521, 1156, 345, 1156, 568, 1634, 585, 922, 3309, 8265, 1426, 267, 609, 1082, 21527, 9513, 8286, 6766, 676, 18085, 2158, 324, 267, 688, 330, 6390, 267, 543, 512, 2967, 9774, 3150, 32345, 780, 277, 269, 2535, 11294, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 16515, 819, 3171, 525, 281, 634, 11038, 7982, 14752, 540, 14451, 4065, 692, 296, 269, 4985, 692, 2026, 519, 1942, 540, 2362, 2069, 5170, 547, 4473, 267, 5883, 24875, 12375, 814, 1831, 513, 2565, 2460, 540, 4180, 10333, 543, 26622, 585, 1053, 269, 901, 3184, 12538, 883, 519, 14960, 540, 24875, 13927, 2359, 1369, 519, 2796, 540, 4702, 2069, 538, 5238, 971, 607, 1346, 1336, 538, 3345, 10491, 269, 1284, 786, 2263, 519, 10848, 3238, 538, 4259, 24875, 3928, 267, 2883, 5351, 15004, 267, 543, 22343, 2994, 1247, 6236, 519, 6626, 14227, 6286, 269, 1635, 6313, 891, 3584, 998, 513, 13857, 7828, 267, 649, 2832, 547, 16491, 2104, 8030, 609, 519, 1702, 2838, 547, 6330, 741, 1378, 3872, 15322, 543, 3565, 9797, 547, 5571, 5717, 4478, 519, 14104, 540, 2362, 2069, 780, 2862, 269, 17553, 16515, 819, 26162, 692, 288, 269, 8466, 21887, 692, 30399, 267, 1857, 9945, 16941, 8185, 593, 2229, 7616, 547, 3382, 10512, 3790 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 5502, 267, 649, 786, 3274, 946, 519, 2199, 4859, 593, 1142, 540, 519, 3038, 1707, 532, 2533, 13763, 269, 634, 13763, 786, 581, 27358, 609, 476, 273, 838, 785, 956, 538, 513, 17241, 2839, 476, 272, 12122, 269, 4024, 713, 581, 2614, 594, 302, 4916, 630, 933, 782, 917, 875, 1454, 649, 2648, 547, 2911, 594, 302, 4916, 25145, 268, 3689, 267, 519, 3038, 1707, 532, 2533, 13763, 786, 8415, 1082, 811, 1224, 4238, 538, 6476, 547, 11339, 630, 8145, 1897, 649, 616, 3274, 2542, 7161, 540, 519, 642, 291, 7416, 267, 3976, 519, 2362, 1224, 4238, 994, 268, 5822, 267, 649, 786, 2569, 519, 2949, 594, 302, 4916, 4170, 585, 519, 3038, 1707, 532, 2533, 7746, 676, 9001, 1062, 21461, 269, 5221, 649, 616, 1210, 8837, 18218, 476, 1220, 279, 630, 663, 811, 11932, 476, 5038, 4226, 1070, 649, 666, 723, 513, 1804, 1062, 21461, 269, 901, 2636, 721, 547, 1832, 1082, 811, 7161, 540, 519, 642, 291, 7416, 538, 3965, 267, 3976, 4227, 519, 991, 547, 979, 547, 12210, 585, 1224, 13668, 563, 6546, 568, 1152, 513, 6712, 540, 519, 3038, 1707, 532, 7896, 1374, 269, 1403, 596, 1616, 547, 917, 811, 596, 666, 454, 268, 5192, 519, 3043, 1957, 269, 898, 568, 538, 519, 2473, 523, 5327, 330, 9008, 5071, 18361, 538, 519, 4704, 6189, 3296, 454, 268, 29934, 519, 14232, 15306, 307, 1779, 454, 25405, 1408, 1107, 8048, 11629, 454, 3080, 813, 267, 1079, 8924, 563, 16446, 813, 267, 9791, 813, 563, 24874, 813, 267, 1007, 813, 563, 1432, 513, 2603, 540, 8924, 972, 616, 630, 17780, 593, 519, 3312, 676, 3220, 269, 1530, 1380, 994, 763, 11432, 568, 2407, 540, 8924, 269, 1656, 865, 568, 707, 3919, 269, 1656, 596, 616, 4440, 711, 1256, 3222, 540, 476, 2004, 260, 540, 707, 3156, 269, 1215, 1281, 713, 9305, 547, 18376, 5691, 1436, 286, 4270, 267, 1082, 1004, 3111, 538, 741, 18376, 5691, 1436, 18129, 1317, 789, 798, 711, 2015, 3498, 5691, 1436, 267, 799, 568, 519, 476, 279, 628, 1455, 12161, 1500, 950, 11766, 532, 5691, 11380, 339, 3591, 4553, 676, 912, 1015, 269, 3502, 12719, 3593, 19961, 4170, 454, 280, 269, 3502, 6236, 519, 3593, 9043, 454, 25594, 2542, 19768, 540, 13335, 14044, 1436, 15613, 454, 2414, 12440, 610, 711, 547, 12440, 267, 602, 729, 519, 2243, 585, 519, 13235, 3427, 10588, 269, 1280, 1346, 540, 596, 602, 1224, 998, 519, 13235, 3427, 10588, 4704, 1374, 8068, 602, 519, 1604, 729, 1759, 593, 9786, 15214, 13305, 269, 1656, 711, 1152, 602, 267, 621, 15538, 540, 1079, 3982, 1895, 902, 912, 268, 14044, 2677, 19241, 3591, 454, 3963, 519, 1079, 1895, 902, 286, 5221, 649, 2154, 1114, 2157, 540, 8244, 585, 519, 5691, 6191, 269, 3245, 519, 1153, 8664, 779, 5133, 267, 513, 18376, 568, 711, 513, 7746, 267, 621, 568, 513, 18376, 269, 2334, 1797, 11380, 339, 3591, 798, 711, 2154, 519, 1482, 1377, 540, 1164, 268, 822, 22355, 607, 7746, 24913, 338, 269, 634, 24486, 1895, 568, 7265, 1229, 267, 2495, 602, 519, 5691, 13763, 616, 2565, 543, 666, 581, 2661, 28953, 547, 1776, 15214, 13305, 7746, 952, 2877, 269, 634, 14044, 2677, 19241, 3591, 1895, 568, 711, 7265, 1229, 269, 1635, 24590, 519, 3334, 909, 883, 1079, 1114, 15214, 13305, 1895, 902, 267, 649, 666, 1732, 5447, 519, 2930, 10342, 609, 519, 1870, 4170, 269, 15566, 2542, 15214, 13305, 543, 2473, 523, 5327, 330, 9008, 1107, 1548, 519, 3427, 5463, 3660, 454, 5629, 2390, 513, 942, 267, 972, 729, 513, 2370, 1153, 630, 3583, 267, 1822, 3755, 264, 609, 513, 2370, 1966, 630, 9188, 19241, 3591, 936, 476, 276, 1296, 2025, 264, 609, 513, 2370, 2856, 269, 634, 1153, 729, 3843, 547, 1265, 513, 1259, 547, 1118, 519, 3454, 2724, 979, 2417, 269, 634, 21777, 11380, 339, 3591, 941, 476, 276, 1296, 2025, 609, 1082, 811, 16042, 476, 1015, 1296, 269, 13689, 593, 519, 1153, 1369, 519, 8664, 5921, 1114, 1439, 9557, 267, 1114, 3156, 543, 1256, 1114, 2298, 269, 2060, 865, 1082, 1053, 2348, 1753, 7193, 338, 267, 519, 1153, 729, 849, 5461, 538, 3850, 891, 1053, 547, 960, 609, 741, 3156, 1247, 711, 693, 1153, 563, 763, 1153, 4956, 547, 2119, 1945, 1007, 2507, 18376, 5691, 1436, 563, 3719, 952, 596, 1185, 547, 1711, 513, 18376, 5691, 1436, 1374, 585, 513, 1153, 610, 707, 3919, 267, 875, 1131, 596, 2253, 286, 1548, 1131, 596, 1445, 593, 286, 1548, 798, 596, 1589, 616, 519, 1034, 1271, 1374, 3334, 286, 2334, 568, 1018, 649, 786, 1445, 593, 1282, 513, 9105, 519, 11629, 15306, 307, 1779, 593, 4873, 476, 1240, 628, 693, 476, 272, 15014, 8109, 942, 269, 3502, 1152, 786, 649, 1445, 593, 519, 1728, 701, 6665, 528, 267, 799, 568, 9786, 15214, 13305, 267, 649, 786, 849, 1445, 593, 519, 1614, 13022, 3700, 21253, 290, 770, 3631, 1031, 267, 519, 3239, 6765, 3070, 267, 3156, 5610, 543, 875, 519, 2473, 523, 5327, 330, 9008, 3484, 568, 2966, 563, 2467, 786, 581, 1082, 4277, 2798, 2429, 519, 15306, 307, 1779, 1519, 713, 835, 281, 15566, 2542, 634, 14044, 3427, 1772, 769, 29140, 267, 7490, 6875, 707, 1530, 1846, 454, 15812, 30805, 1767, 968, 2691, 14220, 1293, 547, 2185, 269, 1879, 1360, 14220, 267, 2220, 792, 6100, 10251, 267, 594, 4076, 4862, 1082, 3755, 2220, 792, 269, 898, 568, 5863, 875, 835, 2370, 2962, 666, 2014, 865, 1454, 10845, 2509, 519, 8668, 3919, 610, 3142, 513, 1007, 1788, 547, 922, 19704, 269, 6875, 519, 1739, 267, 1483, 1158, 9183, 267, 607, 606, 1383, 912, 2304, 3919, 1185, 513, 9043, 4640, 538, 1747, 269, 20305, 3323, 2324, 538, 519, 1007, 1062, 269, 2290, 1554, 267, 513, 3593, 1185, 513, 9043, 13313, 3390, 269, 1677, 4194, 519, 3390, 267, 519, 9043, 729, 25216, 269, 901, 5921, 519, 3593, 1185, 547, 30712, 741, 3003, 10531, 1604, 269, 2991, 519, 9043, 729, 25216, 267, 519, 3593, 3533, 8068, 782, 540, 741, 6054, 941, 25216, 269, 16270, 6251, 14791, 267, 519, 3593, 6740, 741, 6054, 538, 519, 968, 7069, 26671, 892, 17835, 269, 1879, 519, 9043, 729, 25216, 267, 519, 3733, 26671, 17835, 729, 849, 25216, 269, 2052, 596, 2161, 1635, 324, 1635, 324, 1239, 286, 1635, 324, 1635, 324, 476, 274, 4374, 4502, 540, 960, 563, 8253, 18617, 602, 12632, 616, 1271, 267, 1287, 1577, 803, 2285, 596, 1776, 1383, 630, 2791, 666, 1406, 1118, 713, 8631, 909, 2187, 2304, 3919, 729, 4881, 513, 18799, 966, 300, 2861, 966, 14888, 18376, 3070, 585, 513, 1906, 3275, 543, 4956, 519, 9043, 3070, 2838, 12381, 269, 16270, 519, 10311, 267, 1169, 3593, 4503, 782, 540, 741, 2123, 1436, 19383, 269, 12971, 302, 302, 302, 302, 454, 763, 3593, 779, 9043, 568, 835, 540, 519, 2101, 2081, 519, 7535, 539, 5691, 18376, 3587, 10531, 269, 1280, 326, 582, 827, 5691, 11380, 339, 3591, 585, 513, 4090, 269, 634, 3593, 9043, 568, 1271, 585, 2757, 11380, 339, 3591, 269, 15566, 2542, 3733, 5691, 18376, 9043, 568, 1271, 454, 3080, 540, 519, 1292, 3853, 609, 18376, 5691, 1436, 568, 547, 2569, 519, 1297, 540, 2838, 18376, 2592, 269, 634, 7864, 1297, 540, 2592, 267, 519, 4443, 621, 568, 547, 1489, 543, 2226, 519, 18376, 1604, 267, 799, 2306, 18376, 5691, 1436, 865, 9621, 950, 3379, 547, 519, 2757, 18376, 1935, 269, 634, 3804, 568, 513, 2582, 3239, 267, 855, 540, 339, 550, 1307, 267, 824, 2188, 1404, 513, 1909, 538, 5594, 2810, 602, 1297, 269, 6875, 267, 585, 3236, 267, 519, 13235, 3427, 10588, 563, 763, 1374, 1572, 585, 476, 276, 1114, 18376, 2592, 267, 607, 3254, 538, 519, 4137, 563, 25594, 2542, 1215, 1082, 18376, 2592, 798, 594, 2731, 991, 888, 2710, 596, 2479, 4898, 875, 1454, 19961, 596, 991, 547, 798, 513, 18376, 5691, 1436, 6388, 286, 17859, 540, 519, 8137, 540, 5691, 18376, 1373, 8045, 630, 10676, 539, 3838, 267, 18799, 966, 300, 2861, 966, 14888, 267, 2199, 1792, 3139, 267, 3092, 1070, 519, 3060, 4249, 513, 2565, 1909, 269, 2334, 1058, 711, 581, 9670, 630, 604, 621, 568, 267, 649, 991, 547, 723, 606, 1256, 8273, 4901, 1040, 1403, 596, 1810, 1406, 1544, 707, 3060, 19961, 14013, 267, 596, 786, 723, 29043, 3755, 267, 945, 786, 1118, 596, 29043, 563, 2026, 649, 1131, 2503, 267, 519, 3593, 1995, 9714, 525, 607, 519, 26125, 4679, 543, 519, 19961, 11081, 269, 7743, 3060, 4058, 1590, 581, 1759, 593, 519, 1826, 540, 960, 3755, 616, 7900, 543, 519, 2949, 3060, 23289, 269, 7982, 538, 519, 2473, 523, 7343, 26209, 2395, 267, 1082, 1004, 1031, 476, 736, 737, 321, 1186, 607, 606, 7447, 585, 3060, 19961, 4170, 269, 2052, 649, 946, 602, 585, 5691, 11380, 339, 3591, 286, 12971, 630, 24392, 594, 1223, 19022, 2473, 523, 5327, 330, 9008, 547, 1152, 946, 476, 736, 737, 321, 1186, 1916, 25594, 2542, 1215, 13518, 17020, 12296, 1684, 594, 10261, 585, 3733, 14044, 30325, 9008, 0, 305, 9820, 19587, 590, 27942, 18218, 476, 1001, 273, 6201, 454, 984, 16227, 267, 9786, 11021, 721, 547, 1376, 1210, 8946, 4629, 310, 3948, 3079, 540, 17241, 3041, 2207, 305, 3036, 269, 5903, 532, 476, 272, 2982, 519, 570, 4149, 10258, 7097, 594, 1031, 547, 1711, 519, 7831, 17413, 306, 2297, 3349, 269, 476, 11277, 27174, 4281, 280, 6200, 12208, 14530, 25870, 14065, 278, 1240, 2475, 292, 23874, 17582, 1001, 273, 282, 32271, 9281, 28267, 297, 17614, 318, 2839, 3488, 8310, 17413, 306, 2297, 3299, 1412, 308, 10807, 4959, 10691, 715, 8085, 17162, 4629, 303, 570, 21764, 7831, 17413, 306, 2297, 282, 294, 5308, 292, 22268, 19968, 22209, 640, 2839, 6789, 19833, 31094, 2839, 267, 5575, 11243, 1341, 1412, 1412, 1341, 7831, 11243, 6789, 22490, 4610, 616, 6825, 2608, 4467, 618, 8745, 2608, 19478, 2608, 19534, 3502, 1518, 803, 540, 1246, 5346, 8292, 676, 4757, 269, 29799, 519, 1401, 12371, 24606, 1403, 649, 723, 2907, 1305, 519, 5048, 585, 930, 5470, 7329, 543, 649, 1616, 547, 5372, 519, 5048, 267, 621, 786, 12235, 606, 5470, 607, 5205, 281, 1411, 1590, 5291, 2517, 329, 7897, 331, 2246, 1676, 14492, 4882, 27942, 1606, 13996, 270, 571, 16014, 2928, 2987, 1606, 27942, 1606, 13996, 268, 1001, 273, 11258, 454, 2690, 1383, 267, 1589, 827, 875, 596, 1522, 2328, 3009, 547, 960, 609, 513, 1297, 540, 1587, 9517, 338, 267, 29858, 27366, 267, 538, 513, 8520, 269, 20212, 2507, 966, 1105, 541, 5288, 715, 309, 1105, 541, 966, 1105, 541, 5288, 966, 1105, 541, 263, 7246, 311, 264, 4077, 5288, 966, 1105, 541, 7956, 5288, 966, 1105, 541, 263, 16655, 264, 5742, 5288, 5742, 2353, 11261, 11742, 5288, 11261, 11742, 273, 590, 4953, 19532, 5588, 3633, 318, 2839, 28718, 293, 296, 2207, 10396, 5288, 590, 4953, 19532, 5588, 3633, 318, 2839, 28718, 293, 296, 2207, 5508, 293, 853, 1819, 26488, 5288, 14871, 594, 3622, 946, 513, 1871, 540, 476, 272, 585, 1533, 950, 9870, 2688, 17756, 269, 901, 666, 2097, 538, 13561, 267, 2523, 950, 2324, 609, 12747, 3009, 267, 971, 607, 570, 4149, 10258, 4881, 538, 14069, 18218, 32652, 6009, 269, 4179, 2517, 916, 323, 333, 6230, 2222, 7809, 2593, 19841, 268, 639, 15828, 3869, 270, 916, 9965, 30020, 269, 5684, 343, 454, 1103, 3069, 267, 891, 2418, 1058, 14626, 728, 269, 634, 774, 992, 3948, 4667, 1360, 2147, 547, 5124, 779, 6318, 3948, 602, 666, 581, 1031, 1510, 4164, 11596, 547, 6318, 606, 5470, 602, 729, 9575, 610, 1031, 609, 4164, 11596, 547, 22393, 5352, 606, 570, 11548, 16193, 281, 3849, 600, 7557, 23307, 267, 17241, 3041, 2207, 305, 3036, 267, 14069, 6959, 267, 14069, 17756, 267, 570, 4149, 10258, 267, 2473, 16898, 318, 5723, 18306, 15019, 24762, 8005, 13201, 22084, 344, 28567, 286, 1635, 9870, 606, 5470, 609, 513, 1164, 10335, 267, 19883, 621, 547, 519, 7926, 7348, 518, 781, 13335, 2845, 267, 543, 811, 1271, 267, 9870, 621, 609, 513, 1533, 540, 476, 14096, 267, 596, 2327, 602, 1100, 7097, 454, 8266, 532, 476, 277, 2982, 875, 594, 946, 519, 12327, 4488, 3948, 547, 1289, 519, 5650, 543, 1780, 538, 519, 6455, 17367, 9517, 543, 519, 1269, 273, 2929, 269, 476, 272, 12327, 4488, 22352, 306, 2297, 476, 25971, 267, 476, 1220, 1822, 271, 282, 5903, 532, 476, 277, 281, 26121, 7151, 2433, 8025, 4629, 310, 476, 275, 4200, 1724, 2073, 715, 31415, 20130, 568, 513, 1449, 5048, 262, 2073, 476, 272, 6902, 910, 5495, 9143, 7473, 15516, 326, 476, 31620, 876, 267, 5426, 476, 1626, 3557, 476, 1015, 267, 7412, 476, 272, 18438, 1297, 476, 275 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4462, 8971, 1540, 1257, 12744, 281, 5381, 6688, 540, 2371, 630, 576, 516, 1023, 267, 22053, 267, 8685, 619, 267, 3092, 4700, 16690, 9088, 540, 1715, 2622, 4547, 575, 712, 323, 5452, 609, 873, 23582, 730, 538, 17113, 281, 16441, 641, 18754, 267, 1455, 10365, 12379, 334, 26410, 10960, 23582, 919, 281, 4053, 322, 990, 344, 21868, 267, 744, 3250, 730, 11894, 3143, 12379, 334, 26410, 30042, 2831, 547, 1683, 4074, 267, 5144, 267, 6283, 595, 2355, 32337, 3212, 13827, 281, 14066, 1297, 540, 12593, 262, 3262, 689, 713, 2030, 941, 30042, 538, 519, 17113, 1312, 538, 519, 32665, 543, 2221, 853, 8944, 31793, 619, 31664, 281, 13207, 710, 538, 1072, 282, 5959, 2042, 2483, 8698, 9509, 11657, 454, 1607, 4063, 729, 23345, 593, 476, 6734, 270, 4962, 270, 1001, 273, 585, 519, 1576, 4888, 8025, 476, 13136, 6026, 676, 7905, 16065, 1282, 519, 12096, 1412, 1015, 2165, 693, 6167, 290, 563, 268, 12096, 1412, 1015, 0, 10743, 786, 2932, 513, 2757, 2978, 4152, 519, 2360, 540, 13666, 4577, 267, 5409, 2023, 545, 267, 543, 5492, 4577, 3435, 593, 606, 4212, 1591, 269, 9906, 786, 581, 2838, 547, 2445, 6482, 1239, 543, 1459, 519, 1239, 538, 11708, 269, 901, 3561, 2882, 513, 2596, 2978, 609, 2055, 693, 519, 1439, 607, 1134, 607, 606, 4359, 4528, 602, 3340, 1053, 547, 2328, 513, 2978, 1867, 269, 634, 2978, 1867, 4528, 2501, 2347, 609, 21249, 19875, 563, 288, 4116, 3391, 568, 849, 3769, 269, 0, 16032, 769, 4147, 585, 8708, 5388, 910, 4945, 1934, 585, 3877, 454, 4415, 513, 2189, 16246, 4356, 3938, 1326, 974, 1412, 14937, 11206, 262, 2306, 513, 1390, 2230, 9494, 3099, 585, 3395, 538, 11149, 593, 519, 1273, 1470, 269, 634, 1279, 11710, 786, 991, 1119, 532, 5196, 513, 1726, 961, 529, 610, 2121, 1154, 547, 9900, 5721, 873, 20733, 269, 3938, 1326, 974, 4563, 11206, 786, 3132, 5230, 11729, 540, 4158, 3039, 267, 5347, 267, 20425, 476, 1428, 9492, 630, 277, 8442, 1330, 1326, 5052, 952, 13603, 5781, 2429, 519, 4832, 269, 27551, 281, 476, 6344, 9492, 630, 4366, 20257, 24619, 281, 476, 2568, 9492, 630, 2190, 257, 1916, 290, 592, 2435, 4063, 281, 2368, 2694, 540, 891, 5810, 616, 17580, 269, 1280, 811, 3877, 827, 17580, 5810, 4945, 1934, 563, 4467, 3966, 542, 9544, 281, 8347, 3395, 1330, 1326, 5052, 609, 2836, 754, 3121, 547, 4482, 3542, 3215, 7786, 799, 786, 538, 2490, 3542, 3729, 707, 1330, 1326, 974, 5810, 563, 15031, 1470, 267, 28881, 12567, 454, 272, 13268, 564, 630, 275, 3938, 1326, 974, 25994, 264, 630, 22721, 23669, 10695, 994, 306, 578, 1330, 1326, 974, 6079, 16280, 689, 4989, 547, 2904, 585, 13003, 532, 2663, 593, 267, 610, 1463, 30889, 13964, 689, 3735, 2904, 547, 4873, 269, 16259, 519, 3037, 538, 2038, 5614, 676, 4946, 7899, 540, 1134, 4232, 1540, 3484, 12881, 23226, 547, 2087, 922, 2497, 543, 12680, 563, 5715, 14995, 267, 30889, 6079, 693, 513, 3178, 540, 476, 273, 9492, 630, 476, 274, 270, 275, 8442, 538, 476, 278, 269, 276, 9492, 630, 274, 8442, 17428, 540, 1863, 1673, 20995, 267, 6079, 521, 12976, 11003, 269, 9255, 538, 513, 9070, 1807, 610, 13021, 8708, 3330, 513, 5068, 9126, 693, 513, 2837, 540, 476, 736, 268, 1839, 290, 630, 6924, 268, 6507, 293, 264, 2394, 23286, 799, 3217, 476, 276, 268, 278, 2395, 269, 1684, 711, 23868, 1769, 267, 607, 713, 2337, 23286, 269, 4495, 10351, 3990, 267, 1332, 1330, 1326, 5052, 593, 538, 16830, 2175, 2394, 782, 1981, 540, 15470, 814, 5293, 543, 1330, 1326, 974, 2371, 616, 1804, 2614, 547, 581, 1098, 680, 5896, 269, 26431, 1035, 743, 574, 520, 1047, 873, 547, 9205, 2175, 936, 476, 278, 910, 476, 1015, 2395, 1354, 9544, 1330, 1326, 5052, 13964, 538, 3638, 15417, 267, 1134, 27071, 3037, 538, 2407, 3141, 693, 513, 3845, 540, 476, 3445, 9492, 630, 3607, 8442, 6306, 269, 4563, 11206, 2371, 786, 2154, 513, 1726, 961, 529, 610, 2121, 1154, 1489, 543, 519, 11710, 5402, 13615, 538, 269, 15147, 609, 513, 8825, 2121, 1154, 610, 25176, 576, 547, 2061, 4323, 689, 5017, 543, 7786, 269, 1879, 3395, 1330, 1326, 5052, 267, 513, 5394, 22890, 540, 5214, 2339, 3262, 1472, 519, 2371, 786, 948, 547, 18359, 7509, 693, 519, 5072, 563, 21446, 8271, 1463, 30889, 1330, 1326, 5052, 13964, 693, 513, 3178, 540, 476, 273, 9492, 630, 476, 274, 270, 275, 8442, 543, 513, 3845, 540, 476, 3445, 9492, 630, 3607, 8442, 6306, 269, 590, 578, 476, 273, 5452, 829, 8559, 543, 6094, 856, 519, 4617, 652, 6079, 1782, 829, 6728, 1310, 23286, 563, 5353, 2644, 543, 4677, 7727, 786, 7363, 581, 9447, 1369, 519, 942, 1974, 7150, 1996, 1142, 1587, 607, 2143, 1657, 269, 12518, 267, 15620, 267, 524, 768, 338, 267, 8685, 619, 267, 19211, 267, 4054, 267, 12277, 3092, 616, 9447, 693, 519, 3617, 942, 585, 9544, 543, 786, 581, 7150, 593, 519, 1587, 2985, 610, 538, 707, 1931, 11760, 618, 2985, 543, 4757, 563, 302, 6113, 619, 585, 21168, 540, 6079, 1651, 584, 513, 6765, 5279, 540, 11278, 272, 269, 4817, 563, 302, 6113, 619, 799, 1331, 1022, 824, 2472, 786, 1651, 584, 513, 6765, 5279, 540, 11278, 275, 269, 4817, 563, 8489, 606, 1931, 2882, 1312, 21168, 540, 5452, 543, 824, 2472, 267, 513, 5021, 6765, 5279, 540, 11278, 277, 269, 3445, 786, 4019, 910, 7488, 540, 519, 1297, 540, 3688, 10288, 563, 29209, 3688, 949, 1651, 584, 513, 2362, 6765, 5279, 910, 713, 786, 581, 10268, 538, 707, 10918, 11127, 563, 8923, 1294, 938, 24822, 2985, 585, 2417, 3877, 543, 3877, 540, 1022, 1147, 12737, 525, 602, 949, 4019, 547, 1978, 18353, 563, 2690, 707, 2347, 4708, 540, 2247, 267, 938, 5851, 543, 12567, 2472, 949, 581, 8120, 547, 721, 1369, 476, 1789, 2395, 540, 6718, 585, 513, 32479, 540, 519, 6718, 3902, 269, 27294, 1590, 581, 8120, 30694, 267, 693, 707, 1942, 543, 538, 20511, 2783, 269, 2353, 3688, 4163, 513, 10672, 781, 476, 1321, 3923, 12889, 15549, 344, 563, 8649, 5074, 2208, 476, 1001, 276, 268, 4962, 268, 3066, 454, 763, 5452, 616, 7199, 950, 3379, 547, 930, 8677, 855, 891, 616, 4502, 621, 269, 3371, 649, 616, 693, 519, 1439, 540, 2904, 543, 594, 993, 2907, 16116, 1330, 1326, 5052, 543, 519, 2371, 616, 1152, 1079, 3952, 7381, 256, 269, 901, 1058, 581, 606, 4277, 4832, 585, 1330, 1326, 5052, 267, 5654, 899, 594, 4927, 723, 547, 2007, 856, 782, 1346, 2025, 10346, 585, 1330, 1326, 5052, 1586, 563, 307, 261, 300, 14452, 593, 476, 1001, 276, 268, 4962, 268, 3066, 281, 11289, 596, 585, 707, 2689, 543, 585, 2921, 519, 942, 547, 2671, 707, 8748, 8292, 269, 594, 4126, 649, 666, 3136, 547, 581, 540, 3028, 563, 296, 2648, 891, 256, 901, 4832, 729, 741, 7887, 4161, 2094, 649, 723, 1185, 513, 4411, 5147, 543, 4864, 1934, 538, 519, 22236, 269, 901, 568, 693, 2547, 1250, 476, 275, 628, 1032, 3395, 713, 3099, 543, 594, 4312, 2943, 547, 581, 25922, 269, 5080, 29418, 267, 789, 8057, 1732, 713, 1032, 982, 2250, 1296, 609, 7372, 3762, 18923, 30223, 676, 519, 7646, 1168, 799, 726, 8046, 519, 824, 1330, 1326, 5052, 269, 1924, 2484, 594, 723, 13603, 476, 1626, 737, 3342, 689, 1079, 2371, 563, 307, 261, 300, 14452, 593, 476, 1001, 276, 268, 6021, 268, 6349, 281, 11289, 596, 585, 2921, 519, 942, 547, 2022, 707, 2689, 269, 594, 993, 19914, 547, 5873, 602, 596, 723, 1185, 1967, 609, 713, 3099, 269, 594, 4126, 649, 666, 3136, 547, 581, 540, 3028, 563, 21196, 540, 519, 2558, 858, 1749, 476, 1001, 274, 268, 1321, 268, 6021, 454, 296, 723, 547, 14902, 269, 594, 729, 3206, 2558, 858, 573, 950, 594, 4682, 547, 2328, 713, 855, 723, 1044, 29041, 547, 621, 7466, 256, 589, 1360, 11327, 2030, 855, 581, 19230, 1547, 594, 1705, 711, 5721, 9553, 909, 543, 835, 568, 1631, 476, 1428, 3952, 1279, 2921, 909, 519, 3003, 2427, 540, 1250, 4874, 339, 684, 6773, 269, 4279, 952, 596, 723, 519, 2230, 267, 855, 594, 786, 6529, 547, 513, 811, 11741, 3099, 1985, 1032, 563, 23871, 858, 573, 568, 513, 811, 813, 339, 2012, 585, 713, 2030, 269, 2991, 1082, 1296, 540, 1152, 513, 1906, 4374, 540, 1967, 2927, 1746, 689, 824, 8677, 891, 2371, 616, 513, 7772, 547, 1332, 267, 952, 1152, 594, 1223, 3914, 519, 1283, 799, 6067, 936, 519, 3039, 2777, 8122, 269, 4400, 569, 4363, 873, 454, 307, 7360, 2558, 858, 1749, 476, 1001, 273, 268, 5400, 268, 2767, 454, 14937, 4104, 568, 519, 3501, 2012, 547, 1167, 12288, 713, 3099, 607, 602, 568, 4010, 1018, 1775, 1336, 538, 1747, 540, 1250, 8511, 1310, 13059, 1753, 689, 513, 9702, 11482, 14285, 547, 972, 1378, 3457, 891, 17705, 959, 858, 1749, 786, 1332, 1259, 2250, 519, 476, 6344, 9492, 4463, 621, 2829, 593, 519, 17142, 269, 670, 4007, 6556, 540, 17705, 5613, 543, 3083, 604, 1638, 5810, 2336, 2750, 3250, 550, 1330, 1326, 974, 585, 1507, 5624, 476, 1001, 272, 268, 6021, 268, 736, 454, 4322, 1330, 1326, 5052, 3100, 547, 11883, 609, 14927, 2175, 865, 1454, 1732, 982, 1022, 824, 267, 865, 649, 1265, 649, 1205, 513, 1454, 8273, 7693, 982, 1022, 824, 2186, 540, 1330, 1326, 974, 269, 1358, 798, 991, 547, 581, 13615, 538, 855, 789, 1491, 909, 1447, 2230, 982, 513, 3339, 1330, 1326, 974, 910, 789, 6157, 1205, 1250, 8917, 950, 7446, 513, 1330, 1326, 974, 3099, 454, 20062, 2969, 589, 14160, 8379, 21612, 256, 476, 1001, 272, 268, 6021, 268, 1724, 454, 5970, 6738, 713, 16246, 1330, 1326, 974, 1631, 585, 1614, 1296, 936, 606, 2895, 3118, 910, 835, 2030, 552, 527, 1667, 728, 910, 789, 2743, 538, 519, 1647, 693, 519, 1283, 543, 3444, 936, 269, 1358, 3132, 17681, 267, 7657, 2293, 727, 1330, 1326, 5052, 782, 4832, 543, 1134, 883, 519, 15489, 952, 621, 568, 2186, 543, 1118, 513, 1034, 8966, 818, 3481, 13675, 883, 1250, 1654, 326, 15429, 2523, 950, 538, 8768, 269, 594, 1131, 4363, 713, 1330, 1326, 974, 547, 4896, 2110, 593, 2230, 910, 621, 568, 4502, 14237, 543, 2141, 7472, 1134, 563, 290, 3916, 6883, 543, 1869, 2469, 2178, 476, 1001, 272, 268, 6021, 268, 1556, 454, 296, 2328, 713, 538, 5437, 630, 327, 3058, 2943, 547, 1995, 513, 15470, 264, 693, 799, 942, 1250, 2030, 568, 1869, 3395, 2178, 543, 6721, 1330, 1326, 5052, 2348, 267, 609, 1489, 267, 26987, 513, 1726, 961, 529, 543, 6738, 27477, 547, 513, 3259, 540, 936, 476, 1321, 3952, 15029, 9846, 3246, 513, 7556, 2059, 519, 1259, 269, 9521, 824, 8677, 6738, 693, 519, 1482, 942, 267, 519, 10875, 12129, 6676, 2450, 5810, 3132, 1330, 1326, 5052, 602, 723, 5706, 539, 16507, 6285, 269, 594, 786, 6157, 1332, 1586, 543, 723, 1100, 11688, 2787, 538, 2857, 2056, 563, 12148, 16246, 1330, 1326, 974, 476, 1001, 271, 268, 6021, 268, 2764, 454, 2171, 723, 6738, 891, 1330, 1326, 5052, 1360, 6707, 593, 513, 1726, 961, 529, 20545, 713, 1032, 269, 630, 2171, 723, 5230, 10036, 3037, 267, 799, 814, 1044, 4824, 609, 930, 1134, 4232, 1540, 23226, 267, 855, 621, 781, 1869, 5393, 5230, 543, 12155, 547, 1216, 8421, 3101, 4700, 1358, 1413, 1390, 538, 8768, 267, 543, 723, 3812, 513, 10257, 7693, 540, 18991, 6653, 17705, 5613, 267, 609, 1100, 15280, 1145, 693, 782, 269, 32254, 344, 7646, 1168, 814, 1305, 538, 1631, 267, 855, 649, 3513, 581, 3395, 873, 1586, 1985, 1032, 607, 513, 16560, 4183, 607, 1134, 607, 513, 26656, 1426, 7693, 269, 910, 4400, 569, 5227, 269, 0, 12441, 596, 917, 602, 476, 1015, 260, 540, 4892, 723, 1185, 741, 9163, 21687, 267, 543, 593, 3328, 267, 1142, 540, 1346, 2043, 4503, 1472, 1269, 276, 267, 1822, 286, 2336, 15275, 640, 17403, 568, 513, 1106, 540, 12611, 610, 32533, 540, 1776, 1268, 779, 3961, 538, 799, 2576, 5910, 1742, 547, 581, 2576, 3116, 676, 14322, 602, 1268, 779, 3961, 267, 3335, 538, 1931, 547, 1569, 2200, 610, 3489, 5491, 543, 824, 2640, 538, 602, 1268, 779, 2012, 563, 1607, 568, 513, 2101, 3390, 538, 2221, 779, 2486, 1317, 972, 616, 865, 1082, 2081, 621, 666, 4755, 269, 2368, 540, 519, 1034, 1455, 2409, 585, 27560, 2576, 779, 3961, 1331, 13098, 1324, 2123, 1239, 689, 11418, 267, 27560, 32259, 270, 920, 9016, 270, 2839, 6486, 267, 543, 9811, 267, 667, 2794, 3122, 11362, 19403, 2859, 0, 5804, 476, 10082, 280, 2394, 476, 9965, 278, 5261, 13984 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3422, 274, 269, 1261, 30122, 9676, 519, 15246, 538, 513, 1753, 7260, 1247, 2083, 2719, 519, 16232, 1929, 748, 710, 543, 5179, 322, 1228, 607, 621, 14612, 998, 1546, 1446, 344, 1773, 18054, 269, 634, 2098, 777, 337, 31335, 4670, 568, 9833, 607, 519, 1034, 2347, 22089, 540, 519, 26923, 563, 22832, 7338, 570, 6558, 729, 513, 1286, 6455, 2006, 945, 4607, 5634, 7063, 1282, 519, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 538, 28543, 267, 7147, 267, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 570, 6558, 4607, 513, 5634, 10138, 547, 1010, 1318, 32336, 3361, 676, 6263, 4773, 540, 6405, 11935, 689, 513, 8265, 26193, 602, 729, 13351, 676, 15998, 689, 513, 16886, 602, 729, 17991, 693, 17394, 269, 14755, 17394, 543, 7147, 17135, 3627, 645, 269, 1230, 333, 958, 267, 570, 6558, 729, 519, 1152, 824, 1268, 1634, 547, 723, 1044, 13351, 607, 513, 1267, 540, 7784, 13933, 693, 28543, 781, 1546, 1446, 344, 1773, 18054, 602, 1554, 563, 1607, 2376, 15109, 519, 2143, 15415, 540, 2621, 1354, 267, 1282, 267, 543, 1310, 519, 26923, 540, 3627, 674, 269, 17394, 267, 519, 476, 3374, 628, 7022, 540, 519, 2136, 2276, 563, 763, 14068, 613, 2494, 568, 606, 7164, 4137, 945, 568, 1625, 19959, 569, 1459, 1369, 519, 6307, 7720, 768, 534, 8523, 540, 519, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 538, 1546, 1446, 344, 1773, 18054, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 3117, 335, 16820, 28466, 723, 6700, 602, 713, 4137, 568, 513, 2879, 23803, 20590, 513, 14049, 693, 519, 5518, 689, 519, 6371, 344, 5679, 3326, 269, 4014, 513, 1065, 3176, 18665, 14794, 8755, 25848, 999, 1454, 540, 519, 1469, 267, 519, 14068, 613, 2494, 814, 1044, 4330, 607, 513, 1268, 9849, 513, 7128, 7833, 9789, 1395, 32304, 3294, 24283, 689, 513, 6505, 5544, 593, 519, 9221, 267, 799, 568, 1767, 547, 18613, 513, 575, 548, 5446, 3983, 613, 563, 763, 14520, 628, 4469, 3233, 7467, 693, 1546, 1446, 344, 1773, 18054, 568, 513, 9754, 4092, 593, 519, 15795, 6989, 540, 519, 28543, 6019, 10029, 8490, 538, 25708, 28543, 267, 7147, 267, 6772, 8504, 1546, 1446, 344, 1773, 18054, 693, 519, 10167, 540, 4432, 332, 543, 20279, 6790, 1115, 269, 634, 9754, 12116, 519, 1272, 267, 2053, 267, 2669, 267, 543, 9371, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 543, 519, 1272, 540, 10557, 29542, 744, 1873, 12245, 607, 1134, 607, 519, 1585, 24242, 6436, 4478, 519, 26923, 563, 763, 18243, 6874, 1410, 8490, 568, 513, 5722, 3613, 800, 5604, 2679, 4092, 693, 476, 26341, 4432, 332, 9335, 538, 519, 4639, 7736, 19866, 10588, 540, 25708, 28543, 267, 7147, 267, 2136, 2276, 269, 634, 2679, 568, 4092, 593, 519, 22583, 7944, 540, 4432, 332, 543, 3345, 20279, 6790, 1115, 267, 2066, 519, 8265, 689, 519, 7147, 3427, 3883, 3493, 12141, 538, 1546, 1446, 344, 1773, 18054, 267, 519, 6429, 540, 519, 26923, 540, 772, 2529, 269, 5518, 3627, 674, 269, 17394, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 634, 18243, 6874, 1410, 8490, 267, 3006, 1572, 519, 28543, 6874, 2169, 3796, 8490, 267, 519, 18243, 6874, 1410, 10369, 8490, 267, 610, 519, 18243, 6874, 1410, 6742, 8490, 267, 729, 513, 4099, 540, 519, 19135, 1870, 538, 28543, 563, 763, 3627, 674, 269, 17394, 26923, 29461, 4016, 547, 519, 1279, 1532, 19128, 961, 539, 3595, 1301, 602, 729, 1031, 547, 18272, 3729, 3627, 674, 269, 17394, 267, 519, 476, 3374, 628, 5518, 540, 519, 2136, 2276, 563, 22832, 5261, 834, 296, 651, 257, 16816, 326, 839, 729, 606, 1977, 8666, 329, 16067, 626, 267, 8666, 9375, 267, 543, 2361, 27680, 585, 519, 23105, 4964, 630, 4338, 264, 1759, 538, 28543, 267, 7147, 267, 945, 2968, 1634, 585, 1010, 26278, 960, 1282, 519, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 630, 297, 293, 298, 1040, 16816, 326, 839, 729, 476, 866, 950, 646, 3459, 1010, 6673, 4876, 267, 799, 729, 29169, 676, 4108, 3028, 1282, 2622, 2782, 4083, 269, 1879, 1010, 3028, 942, 8694, 267, 16816, 326, 839, 8120, 547, 28543, 543, 3893, 9310, 269, 1261, 4166, 4682, 1394, 547, 960, 585, 519, 2199, 6673, 17531, 543, 5555, 12236, 513, 2990, 607, 513, 9972, 9375, 563, 7775, 6807, 2107, 3559, 715, 1460, 729, 513, 7198, 547, 519, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 538, 28543, 267, 7147, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 3571, 2083, 2719, 540, 519, 15246, 267, 799, 1152, 9676, 519, 2063, 1906, 7643, 540, 621, 267, 568, 2808, 547, 581, 5176, 607, 1271, 607, 519, 4670, 676, 14062, 2098, 777, 337, 31335, 563, 11321, 773, 631, 269, 13518, 3467, 729, 835, 540, 519, 22168, 547, 519, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 538, 28543, 267, 7147, 267, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 589, 2681, 476, 279, 6515, 4670, 602, 13518, 3467, 1500, 568, 835, 540, 519, 3119, 6054, 540, 519, 26923, 269, 634, 13518, 3467, 4670, 267, 609, 824, 476, 279, 6515, 8874, 3144, 676, 14062, 2098, 777, 337, 31335, 543, 2107, 6807, 715, 1460, 267, 729, 1031, 676, 519, 25303, 8189, 547, 8495, 519, 26923, 543, 547, 2990, 519, 16232, 1929, 748, 710, 538, 513, 18837, 18883, 540, 519, 2680, 538, 2904, 476, 3422, 275, 563, 1692, 731, 15776, 12340, 645, 1066, 22974, 729, 606, 1977, 17728, 626, 543, 9252, 7257, 614, 945, 729, 7198, 547, 519, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 538, 28543, 267, 7147, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 4340, 547, 519, 25303, 8189, 267, 645, 1066, 22974, 781, 6609, 540, 513, 2879, 23803, 646, 4718, 729, 2625, 894, 538, 8757, 519, 3932, 602, 519, 15833, 3357, 689, 519, 15795, 6989, 267, 22703, 7944, 6885, 540, 519, 7147, 3427, 3883, 3493, 12141, 8490, 563, 300, 3320, 333, 590, 6308, 2006, 729, 606, 1977, 21200, 626, 543, 513, 7198, 547, 519, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 538, 28543, 267, 7147, 267, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 2701, 729, 609, 1200, 20148, 267, 14062, 2098, 777, 337, 31335, 267, 607, 646, 1500, 519, 2098, 777, 337, 31335, 4670, 267, 519, 1034, 6594, 2594, 540, 519, 26923, 563, 763, 2098, 777, 337, 31335, 4670, 568, 513, 14980, 476, 279, 7825, 2681, 5163, 4605, 5311, 8929, 676, 14062, 2098, 777, 337, 31335, 609, 513, 13852, 1299, 1215, 749, 1753, 2173, 990, 773, 8254, 267, 607, 2136, 2276, 5518, 3627, 674, 269, 17394, 781, 5179, 322, 1228, 5293, 998, 1546, 1446, 344, 1773, 18054, 538, 28543, 267, 7147, 267, 593, 5437, 476, 2420, 267, 476, 3422, 274, 269, 898, 9676, 519, 26923, 540, 519, 5518, 563, 763, 26923, 540, 5518, 3627, 674, 269, 17394, 593, 5437, 476, 2420, 267, 476, 3422, 274, 838, 1177, 2740, 3875, 24242, 6436, 269, 1452, 6436, 620, 5076, 519, 9525, 540, 519, 31835, 267, 519, 631, 2378, 807, 267, 21470, 5518, 10370, 526, 517, 645, 269, 9652, 267, 23162, 11788, 10579, 674, 14988, 10011, 549, 267, 519, 918, 16412, 267, 610, 930, 4999, 540, 891, 2043, 543, 9988, 269, 634, 3312, 31440, 7634, 543, 25303, 8189, 1867, 267, 607, 1134, 607, 606, 16957, 834, 17754, 793, 31835, 3382, 5346, 2580, 723, 3366, 547, 519, 3409, 602, 519, 5313, 2229, 22393, 4988, 909, 2629, 1344, 538, 519, 21987, 540, 519, 26923, 269, 4813, 518, 11968, 13353, 10588, 30374, 27673, 645, 1872, 2993, 657, 328, 6059, 602, 513, 2698, 540, 476, 5655, 2516, 267, 476, 11025, 18272, 1231, 267, 543, 476, 20969, 1004, 1185, 1044, 15034, 693, 835, 942, 610, 1776, 538, 1585, 24242, 7653, 563, 303, 1112, 999, 540, 519, 10266, 281, 22878, 543, 519, 2667, 817, 1588, 540, 5518, 17394, 568, 513, 476, 1960, 275, 1433, 676, 9400, 645, 269, 2558, 2532, 267, 606, 1977, 14787, 543, 2895, 22999, 1759, 538, 8355, 951, 267, 12590, 269, 634, 1433, 735, 3796, 811, 982, 476, 12573, 11147, 1500, 676, 23153, 543, 3318, 21706, 538, 28543, 267, 7147, 267, 1282, 519, 5437, 476, 3422, 274, 26923, 540, 2136, 2276, 5518, 3627, 674, 269, 17394, 267, 543, 2882, 11042, 609, 1082, 540, 519, 1004, 945, 1500, 519, 2592, 267, 930, 540, 799, 1185, 2760, 1044, 3370, 1991, 547, 519, 1433, 781, 5305, 563, 307, 1410, 553, 30374, 4937, 654, 12000, 517, 518, 29336, 13986, 513, 1533, 7400, 7634, 855, 4607, 1100, 9316, 689, 519, 25303, 8189, 269, 769, 519, 1439, 267, 29336, 3622, 31045, 519, 25303, 8189, 781, 4681, 563, 8450, 6337, 476, 272, 267, 476, 275, 267, 476, 278, 267, 543, 476, 279, 563, 16031, 269, 18741, 706, 742, 729, 519, 6519, 5600, 2046, 812, 538, 5279, 693, 28543, 1317, 24839, 590, 2718, 518, 267, 519, 8783, 2046, 23122, 267, 729, 10707, 547, 3567, 609, 2818, 540, 519, 16410, 6839, 563, 7661, 267, 538, 476, 1960, 280, 267, 606, 32404, 8470, 10288, 519, 2229, 547, 2628, 519, 2098, 777, 337, 644, 619, 1269, 1626, 2929, 547, 1832, 519, 3312, 4670, 269, 4340, 547, 519, 2871, 514, 1145, 3883, 540, 2622, 19475, 267, 602, 1568, 856, 547, 513, 2594, 31771, 1269, 277, 1428, 267, 29575, 829, 2034, 563, 290, 2194, 664, 674, 761, 345, 5143, 519, 25303, 8189, 602, 834, 296, 6854, 1100, 4967, 693, 519, 942, 257, 540, 1010, 1896, 23827, 725, 540, 744, 1873, 12245, 630, 275, 670, 476, 20385, 1040, 1717, 267, 1082, 1296, 2663, 267, 2576, 4362, 930, 1079, 543, 513, 3368, 3817, 540, 674, 761, 345, 781, 29629, 10389, 1688, 25740, 4967, 693, 519, 2817, 19964, 269, 674, 761, 345, 849, 1767, 602, 834, 13367, 531, 2395, 2663, 257, 646, 5206, 811, 3573, 4967, 540, 519, 23827, 725, 630, 275, 670, 476, 20385, 1040, 0, 16978, 3055, 2575, 2504, 568, 513, 1390, 543, 3407, 2534, 585, 1453, 269, 3502, 1152, 1281, 621, 1450, 873, 547, 723, 1187, 4020, 1947, 267, 855, 621, 849, 22262, 782, 519, 2127, 540, 513, 1126, 779, 1646, 269, 1879, 6947, 547, 267, 1565, 267, 543, 4730, 2575, 267, 3214, 1205, 3238, 14156, 267, 13998, 267, 6457, 1302, 267, 9308, 267, 543, 8059, 12264, 563, 4407, 1082, 3237, 2119, 547, 5337, 924, 741, 1453, 779, 1719, 538, 2489, 2575, 267, 1866, 949, 1616, 547, 1205, 873, 3238, 538, 513, 1808, 1858, 540, 2575, 269, 6884, 267, 519, 3214, 8858, 513, 1880, 1719, 538, 513, 1978, 2575, 9135, 610, 2534, 563, 2252, 707, 3214, 3100, 547, 899, 5907, 2575, 267, 543, 596, 1616, 547, 948, 873, 1020, 713, 1007, 6612, 267, 1934, 616, 930, 3730, 4388, 547, 1205, 873, 3323, 563, 1432, 16811, 1684, 1411, 10261, 888, 303, 18166, 5907, 2575, 3340, 519, 2556, 2645, 269, 1403, 596, 2461, 1175, 3478, 3323, 267, 1376, 676, 9140, 519, 1034, 2596, 3937, 630, 16341, 540, 799, 596, 949, 2907, 723, 1040, 3371, 568, 513, 1592, 540, 519, 1898, 1919, 707, 1126, 568, 2469, 547, 991, 563, 7197, 2693, 267, 519, 2780, 602, 596, 2907, 1378, 568, 2614, 585, 707, 1453, 547, 1205, 3323, 269, 898, 666, 581, 513, 18376, 2780, 267, 513, 15291, 267, 610, 1256, 513, 16979, 269, 634, 1292, 10421, 568, 602, 519, 2780, 568, 3728, 2614, 267, 543, 602, 2636, 596, 547, 2594, 2575, 269, 27009, 267, 513, 2603, 540, 1762, 2575, 12696, 2594, 741, 8964, 593, 741, 24195, 610, 1256, 16389, 269, 1403, 596, 616, 6236, 9140, 513, 1007, 2780, 585, 707, 3214, 267, 972, 616, 7899, 540, 3681, 538, 2474, 540, 1312, 5777, 543, 2298, 269, 3509, 8837, 24195, 616, 10097, 543, 782, 707, 1453, 991, 547, 1376, 6721, 5907, 2575, 563, 2414, 1451, 875, 547, 2995, 1142, 3280, 609, 8856, 267, 3339, 2780, 10529, 616, 2356, 711, 2614, 269, 589, 1434, 1305, 540, 30069, 786, 948, 707, 3214, 1449, 543, 12575, 2575, 1732, 269, 6733, 585, 30069, 602, 616, 6899, 267, 14463, 267, 543, 15409, 269, 27009, 267, 12616, 30069, 616, 849, 2139, 267, 4352, 789, 4043, 547, 581, 811, 7199, 982, 1346, 609, 513, 10814, 563, 19445, 23866, 4518, 23667, 454, 288, 21096, 310, 630, 19445, 23866, 4518, 23667, 264, 568, 606, 813, 602, 568, 1031, 585, 10916, 267, 11049, 267, 543, 11544, 2575, 269, 898, 2636, 519, 3593, 547, 13861, 1312, 17974, 543, 3167, 4992, 269, 2368, 21096, 310, 338, 616, 2139, 585, 1863, 267, 1519, 12275, 720, 7171, 543, 589, 1076, 2023, 14970, 700, 924, 563, 288, 1863, 21096, 310, 568, 1390, 585, 14987 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10326, 610, 10664, 8851, 3254, 607, 851, 540, 513, 9457, 2422, 18983, 527, 1281, 711, 2154, 513, 5094, 3529, 610, 10664, 8851, 11863, 563, 763, 1344, 4843, 1934, 568, 1582, 3146, 19959, 269, 2755, 589, 3008, 4047, 5234, 2689, 13980, 540, 782, 5254, 12678, 5359, 543, 5238, 616, 10950, 547, 3343, 3606, 3029, 540, 2689, 267, 519, 1239, 538, 5254, 12678, 5359, 616, 711, 20240, 676, 589, 3008, 4047, 269, 1403, 596, 3494, 1022, 540, 713, 1344, 568, 20093, 821, 748, 610, 22522, 609, 5491, 7355, 267, 5225, 2689, 519, 1184, 585, 22679, 3931, 827, 519, 1344, 4080, 676, 606, 9872, 543, 2347, 519, 4578, 769, 11431, 4813, 269, 0, 1692, 1082, 1634, 10785, 616, 538, 519, 27305, 10158, 888, 10666, 476, 274, 267, 4335, 608, 26979, 1115, 723, 1044, 4362, 607, 540, 4989, 476, 1001, 278, 563, 2026, 540, 4989, 476, 1001, 278, 267, 8331, 814, 9672, 827, 476, 274, 267, 4335, 608, 26979, 1115, 269, 1703, 616, 849, 936, 476, 275, 267, 1822, 11134, 10785, 799, 18387, 1405, 2943, 1044, 9672, 563, 763, 1357, 3135, 1990, 3019, 5744, 3820, 814, 3323, 513, 1401, 26979, 564, 10812, 3464, 1788, 1141, 13538, 1413, 585, 3270, 538, 1769, 14258, 799, 5815, 602, 513, 4541, 814, 1098, 1243, 922, 5182, 269, 769, 513, 1906, 2395, 827, 476, 1220, 10785, 941, 4362, 713, 1259, 269, 0, 9336, 6648, 814, 513, 5137, 5657, 8457, 320, 281, 513, 1650, 540, 875, 621, 729, 2854, 269, 769, 513, 15585, 3861, 2796, 267, 2048, 2145, 8457, 320, 685, 610, 1650, 267, 666, 2901, 581, 513, 2048, 5766, 5766, 270, 334, 685, 610, 2048, 7315, 340, 9857, 9957, 3245, 17748, 547, 3803, 26004, 267, 519, 5137, 554, 534, 340, 9857, 666, 7866, 519, 1419, 19581, 8684, 2078, 1063, 513, 10564, 779, 4835, 1582, 2389, 1779, 543, 5007, 3140, 543, 4207, 2833, 269, 6490, 1559, 630, 3333, 9464, 676, 5007, 2833, 264, 786, 3049, 544, 1638, 532, 267, 882, 1516, 267, 543, 556, 19960, 1588, 630, 514, 4156, 1582, 2389, 1779, 264, 543, 666, 18867, 543, 791, 6160, 1947, 1305, 1055, 519, 1543, 267, 3159, 267, 1106, 267, 543, 5339, 2553, 540, 513, 6648, 883, 796, 656, 4602, 730, 8846, 269, 898, 568, 711, 16613, 585, 513, 10564, 547, 1900, 2476, 689, 513, 588, 24521, 543, 16846, 1947, 2307, 267, 2048, 1692, 1705, 594, 1205, 1934, 26834, 685, 4033, 5007, 2188, 540, 19621, 13167, 616, 519, 1514, 543, 2797, 2916, 540, 519, 942, 540, 1603, 267, 519, 3483, 543, 16551, 540, 513, 20827, 4305, 267, 543, 1382, 269, 3194, 568, 2556, 952, 513, 6648, 1202, 1235, 593, 29595, 883, 986, 13949, 543, 14542, 8513, 269, 2986, 782, 891, 2188, 267, 1699, 8739, 27791, 2916, 568, 5310, 519, 1034, 9565, 538, 20834, 2358, 2950, 543, 2043, 547, 4497, 538, 3860, 3206, 543, 1603, 563, 1607, 2376, 568, 513, 835, 17574, 630, 20357, 607, 513, 5467, 267, 596, 616, 711, 538, 519, 2990, 547, 14443, 803, 264, 554, 534, 340, 9857, 540, 1250, 3860, 1184, 540, 1603, 519, 6648, 5675, 1142, 824, 1282, 5046, 268, 866, 543, 519, 21276, 2680, 4433, 264, 540, 519, 19154, 300, 3350, 269, 901, 554, 534, 340, 9857, 9691, 11828, 519, 4798, 540, 3314, 268, 532, 24150, 267, 1940, 268, 532, 936, 538, 22632, 540, 27136, 17171, 267, 543, 598, 1027, 268, 532, 1379, 602, 7153, 607, 513, 1471, 517, 585, 9322, 543, 737, 582, 1695, 527, 18553, 269, 769, 9759, 267, 713, 554, 534, 340, 9857, 568, 7361, 513, 1650, 540, 27136, 17171, 281, 513, 11812, 540, 1250, 4786, 27004, 630, 6588, 526, 15948, 264, 700, 11035, 779, 10516, 540, 15585, 3861, 1893, 9423, 543, 519, 1298, 2590, 540, 519, 15585, 3861, 1893, 538, 513, 6648, 2854, 585, 513, 15866, 6404, 5304, 538, 519, 20613, 1731, 6737, 3148, 540, 589, 582, 792, 10394, 563, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 27691, 732, 2704, 833, 476, 275, 269, 271, 4139, 17821, 269, 0, 14737, 832, 685, 30880, 769, 5019, 3949, 281, 21344, 7126, 1656, 10163, 2774, 687, 454, 3528, 27804, 3240, 320, 13850, 657, 531, 454, 763, 1034, 10058, 8984, 540, 513, 11180, 14764, 568, 519, 1318, 547, 2769, 707, 29926, 1996, 519, 2101, 9107, 6644, 610, 519, 28974, 2070, 269, 10456, 667, 962, 932, 18588, 577, 644, 4330, 519, 1318, 547, 2769, 29926, 607, 519, 968, 338, 23245, 11896, 892, 540, 513, 9111, 267, 15877, 799, 519, 2898, 9872, 666, 2097, 1835, 22824, 1524, 269, 634, 1034, 2500, 543, 9621, 1259, 540, 23187, 835, 779, 24895, 814, 1044, 998, 519, 1259, 540, 13889, 532, 563, 763, 7225, 26547, 814, 1625, 19959, 942, 543, 1586, 602, 519, 9406, 547, 14308, 568, 1671, 15590, 1441, 538, 519, 9139, 1369, 519, 5605, 1080, 540, 15080, 476, 866, 543, 476, 2641, 269, 901, 1318, 267, 1175, 607, 1022, 824, 27284, 9406, 267, 568, 2139, 547, 782, 540, 922, 4961, 1107, 1256, 547, 1295, 832, 563, 25748, 267, 513, 5634, 779, 1318, 547, 13889, 814, 2097, 896, 519, 16986, 267, 609, 519, 10966, 7040, 779, 29611, 540, 519, 7127, 540, 1453, 538, 4609, 540, 989, 2787, 1282, 519, 17600, 1996, 519, 9241, 5293, 22893, 1222, 14821, 2920, 267, 476, 1001, 280, 267, 538, 519, 1769, 540, 519, 2669, 540, 606, 10867, 693, 32599, 515, 523, 20045, 327, 269, 1717, 267, 519, 7040, 8959, 547, 1491, 26256, 529, 766, 540, 8320, 540, 7128, 30468, 1996, 1453, 602, 5949, 538, 519, 12687, 540, 519, 1482, 17600, 563, 1103, 3127, 267, 513, 1268, 568, 3989, 607, 513, 5634, 952, 789, 616, 896, 519, 2085, 540, 29933, 269, 6270, 2043, 616, 2356, 8200, 593, 519, 1416, 540, 741, 25330, 269, 2755, 519, 1876, 2115, 547, 3666, 741, 2924, 543, 20818, 9993, 547, 2417, 519, 4690, 540, 896, 720, 2043, 267, 30191, 513, 24120, 7333, 593, 7589, 538, 13889, 568, 606, 936, 18943, 563, 1103, 713, 1957, 267, 538, 3487, 4083, 267, 594, 2119, 547, 10250, 519, 2707, 540, 513, 5634, 779, 7915, 1318, 547, 13889, 538, 3486, 543, 6469, 4031, 269, 769, 3487, 8633, 267, 606, 3801, 568, 1500, 547, 5659, 519, 4080, 4145, 1472, 513, 5634, 779, 7589, 538, 13889, 543, 547, 4831, 873, 269, 11086, 267, 538, 3487, 10001, 267, 513, 3932, 568, 4843, 609, 513, 3102, 6644, 563, 14737, 528, 779, 9406, 1677, 14308, 769, 4139, 1656, 23582, 16572, 454, 30399, 519, 9406, 547, 13889, 568, 711, 513, 2016, 2318, 1318, 267, 855, 835, 602, 666, 581, 14648, 998, 824, 1480, 2924, 267, 1034, 3648, 519, 7126, 547, 5191, 540, 4082, 543, 1318, 547, 12560, 10198, 267, 602, 616, 16798, 896, 4139, 543, 23582, 4031, 269, 769, 713, 851, 267, 594, 3801, 547, 10250, 891, 2959, 563, 288, 269, 4139, 16572, 454, 19328, 568, 513, 1129, 2218, 547, 519, 2136, 8315, 9208, 29358, 16390, 585, 519, 10029, 540, 19565, 10456, 476, 2735, 276, 630, 10193, 1634, 607, 519, 2048, 6826, 18268, 16390, 685, 1040, 5015, 267, 621, 568, 849, 5428, 547, 267, 543, 814, 32738, 543, 7550, 883, 1200, 4031, 267, 519, 2136, 8315, 13482, 593, 519, 7126, 540, 519, 4132, 476, 2735, 280, 630, 8072, 7419, 10135, 290, 685, 1916, 763, 6167, 10135, 290, 267, 538, 9137, 476, 276, 267, 31234, 602, 2276, 538, 9777, 908, 593, 6927, 11341, 547, 1453, 1590, 581, 26256, 529, 656, 540, 741, 968, 5271, 6295, 19206, 892, 1247, 9137, 476, 1321, 2488, 602, 4759, 2829, 1058, 26924, 547, 519, 1126, 945, 568, 5827, 540, 8108, 1010, 610, 1200, 1378, 5784, 519, 1318, 547, 2769, 1346, 5784, 11884, 269, 9747, 267, 519, 1126, 1058, 581, 3177, 519, 4316, 547, 581, 4862, 538, 1022, 16324, 543, 11889, 18659, 7133, 519, 1126, 267, 2901, 2047, 610, 998, 513, 11347, 269, 4475, 267, 972, 666, 581, 1100, 19231, 593, 513, 1126, 779, 1318, 547, 13889, 1510, 6217, 519, 1126, 1101, 269, 13010, 267, 9137, 476, 1724, 540, 6167, 10135, 290, 18715, 513, 1126, 519, 1318, 547, 5191, 540, 4082, 543, 547, 5191, 547, 3343, 1702, 543, 1344, 998, 782, 1797, 2009, 269, 5019, 3949, 543, 989, 14591, 616, 2808, 547, 581, 4609, 540, 8795, 8369, 543, 2707, 540, 16565, 1702, 543, 1344, 269, 9747, 536, 18732, 1762, 4079, 689, 873, 4667, 547, 581, 538, 15333, 3685, 540, 519, 2924, 24705, 1042, 2390, 873, 563, 20091, 9137, 476, 1724, 2059, 609, 9137, 476, 1691, 1107, 15213, 540, 2219, 543, 25903, 267, 543, 9137, 476, 1428, 263, 272, 264, 1107, 15213, 540, 13458, 995, 13909, 267, 621, 666, 581, 11943, 602, 519, 2924, 540, 513, 1126, 568, 2147, 547, 1346, 540, 606, 2937, 543, 1058, 711, 581, 29572, 539, 538, 519, 6095, 321, 540, 7863, 741, 4690, 269, 769, 1249, 267, 519, 9730, 585, 519, 4027, 540, 519, 7126, 540, 519, 4132, 630, 11526, 896, 6167, 10135, 290, 264, 538, 922, 1867, 8078, 525, 4759, 2829, 547, 9777, 622, 593, 6927, 3823, 1295, 832, 538, 1259, 602, 621, 568, 711, 538, 21556, 540, 1022, 540, 891, 2924, 563, 6097, 547, 519, 13832, 593, 15213, 13458, 995, 13909, 267, 1453, 267, 899, 1022, 824, 12504, 267, 723, 2924, 267, 543, 3976, 606, 1719, 547, 2149, 1346, 2924, 543, 513, 10279, 547, 2769, 741, 771, 20880, 543, 547, 3565, 547, 519, 2208, 540, 519, 2486, 269, 898, 849, 1625, 7964, 602, 538, 2013, 540, 30969, 540, 1453, 267, 789, 1058, 581, 9674, 689, 4079, 543, 2027, 1416, 1058, 581, 3144, 585, 873, 267, 543, 1058, 711, 581, 1558, 609, 1022, 7130, 1813, 547, 741, 2085, 269, 13966, 609, 713, 267, 519, 19864, 16390, 791, 4680, 593, 4759, 2829, 519, 10279, 547, 1413, 1310, 513, 11174, 779, 11455, 1646, 543, 547, 2327, 741, 2489, 1134, 1373, 865, 602, 789, 666, 2661, 6209, 2729, 269, 1306, 7074, 4505, 267, 17600, 666, 581, 4609, 540, 2417, 532, 1271, 11407, 543, 16565, 1702, 269, 4935, 621, 1131, 581, 1996, 519, 6891, 540, 513, 1126, 779, 1646, 547, 6615, 873, 689, 10024, 891, 5624, 610, 8380, 7803, 15668, 593, 873, 610, 741, 25330, 952, 789, 6430, 547, 798, 865, 563, 1103, 3932, 267, 621, 666, 581, 2938, 602, 513, 5634, 779, 1318, 547, 13889, 538, 1134, 11251, 543, 6870, 538, 519, 28975, 540, 4139, 4521, 563, 289, 269, 23582, 16572, 454, 763, 9139, 540, 3127, 18715, 1978, 27284, 2924, 547, 782, 922, 4961, 1107, 7488, 540, 2085, 269, 634, 1034, 524, 913, 1540, 540, 891, 1107, 519, 10513, 959, 6541, 1107, 616, 519, 9406, 547, 5020, 267, 9406, 547, 25734, 267, 543, 519, 15213, 547, 16594, 543, 20309, 269, 7201, 519, 8545, 267, 621, 2417, 31234, 513, 2318, 1318, 547, 922, 4961, 547, 27043, 25678, 543, 547, 1847, 11884, 998, 519, 8513, 540, 3127, 269, 634, 589, 24128, 7040, 814, 2907, 5587, 1881, 602, 519, 9406, 547, 13889, 568, 513, 12504, 779, 4909, 1318, 543, 666, 581, 1336, 896, 3487, 8633, 540, 519, 9139, 269, 901, 1318, 666, 849, 581, 23754, 539, 998, 519, 16219, 9406, 547, 2069, 267, 602, 18715, 782, 3255, 547, 1451, 543, 13599, 2933, 547, 2043, 1063, 3670, 543, 27552, 1296, 540, 2085, 267, 607, 13889, 4609, 616, 513, 13398, 540, 3395, 1702, 543, 8795, 8369, 563, 4913, 267, 782, 27284, 7126, 616, 1641, 547, 10257, 9993, 896, 15080, 476, 866, 263, 273, 264, 547, 476, 866, 263, 277, 264, 540, 519, 9139, 269, 634, 2048, 14818, 540, 17217, 629, 30276, 8730, 1625, 19959, 676, 519, 10966, 7040, 538, 8496, 6652, 642, 269, 966, 14371, 10611, 578, 267, 10841, 1068, 1622, 602, 519, 1449, 1058, 711, 581, 513, 24120, 7333, 855, 1058, 581, 6956, 593, 513, 2013, 547, 2013, 4493, 267, 2921, 883, 2272, 1585, 2188, 269, 769, 519, 2339, 7282, 519, 1318, 540, 1295, 832, 547, 13889, 267, 606, 967, 4593, 3234, 3729, 29611, 568, 1996, 519, 31672, 540, 519, 27069, 1449, 267, 607, 621, 14543, 547, 1491, 883, 13857, 10080, 543, 1114, 8369, 519, 6107, 540, 519, 2486, 814, 547, 2709, 269, 3502, 1152, 1281, 971, 6604, 1796, 538, 15333, 3685, 540, 741, 16798, 2924, 267, 621, 3112, 581, 20582, 607, 10257, 269, 11153, 896, 720, 1762, 4079, 7390, 971, 17600, 593, 741, 1378, 2019, 819, 543, 946, 23405, 607, 513, 2707, 540, 11589, 29926, 563, 763, 593, 639, 540, 7863, 267, 21108, 543, 5009, 1126, 2924, 538, 3127, 8813, 593, 513, 27152, 1560, 1107, 634, 2817, 8189, 585, 10466, 540, 4132, 7126, 630, 8072, 301, 9573, 10135, 685, 1040, 769, 922, 4808, 585, 4027, 540, 1453, 1282, 3540, 19727, 267, 715 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 14143, 264, 540, 932, 24934, 1177, 2244, 547, 519, 1533, 540, 14967, 543, 1500, 873, 1847, 1055, 540, 741, 5065, 2244, 5196, 834, 24465, 8513, 4840, 273, 269, 932, 24934, 9155, 1185, 547, 22109, 7178, 540, 519, 14967, 5211, 563, 307, 805, 344, 540, 1715, 661, 577, 7974, 454, 272, 269, 513, 1507, 1895, 540, 4258, 6593, 525, 630, 4335, 270, 1704, 267, 1822, 1070, 3366, 676, 11683, 3627, 23374, 267, 8815, 547, 1129, 513, 8851, 14097, 454, 273, 269, 12722, 11130, 602, 713, 14097, 5795, 1864, 519, 3656, 1379, 547, 4894, 782, 519, 31180, 689, 11908, 2676, 275, 269, 1401, 577, 6548, 741, 2244, 538, 11908, 585, 2244, 538, 20274, 454, 276, 269, 1234, 18727, 476, 276, 2929, 9489, 585, 519, 4182, 454, 277, 269, 634, 9513, 540, 2244, 729, 1996, 519, 3652, 540, 519, 31180, 4182, 630, 16269, 941, 711, 4847, 547, 6133, 741, 2244, 994, 278, 269, 1530, 4705, 519, 12556, 540, 519, 4258, 6593, 525, 454, 279, 269, 12984, 519, 2601, 585, 519, 12638, 540, 519, 681, 573, 2471, 543, 18379, 553, 29502, 2254, 563, 272, 269, 606, 1977, 29787, 543, 14787, 563, 273, 269, 3571, 1034, 4583, 960, 267, 645, 1722, 3733, 9839, 693, 654, 15903, 918, 26234, 630, 3192, 271, 264, 3877, 930, 540, 519, 5208, 543, 15746, 11124, 676, 7111, 4892, 693, 519, 3946, 540, 1977, 7269, 1143, 563, 272, 269, 606, 4081, 267, 14787, 267, 7548, 267, 543, 2278, 563, 273, 269, 18004, 538, 744, 24660, 267, 16127, 454, 274, 269, 3571, 960, 9607, 519, 2833, 540, 18441, 538, 3013, 454, 275, 269, 4112, 1819, 519, 3270, 267, 2984, 267, 543, 3123, 540, 10168, 1369, 3013, 563, 272, 269, 3689, 5518, 540, 519, 2136, 2276, 563, 273, 269, 7910, 1014, 267, 26934, 267, 2489, 267, 543, 7022, 269, 476, 274, 269, 27439, 519, 21829, 8136, 538, 519, 4339, 585, 7115, 563, 275, 269, 645, 1815, 877, 513, 2112, 5869, 1282, 519, 3943, 543, 4095, 2782, 563, 23210, 543, 4095, 2782, 454, 272, 269, 12984, 513, 2112, 10692, 676, 3943, 543, 2296, 593, 1977, 3037, 936, 1852, 540, 519, 11882, 5211, 9503, 454, 273, 269, 634, 2296, 17204, 3943, 538, 12293, 274, 563, 274, 269, 8466, 19043, 281, 3964, 4789, 607, 1297, 835, 1158, 1379, 543, 3459, 547, 7930, 1689, 8456, 540, 519, 21152, 4724, 4789, 585, 519, 8338, 563, 275, 269, 12984, 1572, 519, 3943, 543, 4095, 2782, 1317, 519, 12075, 10692, 7258, 519, 3943, 267, 10691, 1317, 789, 10692, 1996, 519, 3943, 454, 272, 269, 26064, 540, 519, 4258, 344, 26413, 1310, 476, 6977, 275, 945, 3366, 3646, 547, 5706, 1977, 17260, 689, 17857, 547, 12548, 563, 273, 269, 1261, 729, 513, 4708, 20447, 945, 15068, 519, 9995, 15880, 7136, 21492, 855, 729, 7166, 676, 606, 7952, 4323, 3366, 676, 4937, 6723, 595, 13831, 563, 272, 269, 634, 3661, 602, 3013, 1185, 519, 2696, 3766, 1508, 1318, 543, 10279, 547, 4228, 2066, 519, 11782, 267, 1305, 540, 2093, 1031, 547, 17854, 1977, 7269, 538, 519, 476, 7277, 271, 338, 454, 273, 269, 589, 3661, 602, 10645, 2804, 13766, 267, 513, 991, 585, 3084, 3354, 543, 513, 24134, 540, 519, 4743, 270, 13905, 540, 1373, 7292, 27166, 267, 0, 7069, 2186, 1120, 691, 2996, 723, 1044, 2324, 2182, 693, 9301, 4098, 4992, 538, 1913, 269, 594, 4312, 1044, 1210, 519, 1739, 1187, 543, 3078, 2238, 547, 948, 1250, 1453, 1451, 713, 9157, 1523, 912, 1607, 3014, 568, 1572, 1975, 514, 8584, 8862, 867, 22073, 16319, 9990, 269, 1703, 616, 3756, 585, 782, 519, 19283, 1218, 4849, 2473, 269, 634, 1453, 8095, 519, 8095, 1676, 543, 723, 547, 1265, 513, 2262, 602, 5956, 609, 519, 4484, 838, 684, 269, 634, 4267, 616, 593, 519, 1394, 267, 1818, 621, 1582, 10992, 269, 1677, 1224, 811, 827, 1250, 1975, 514, 8584, 8862, 867, 10632, 267, 4945, 1934, 563, 5445, 2731, 10150, 1818, 891, 4098, 4992, 31750, 689, 519, 16805, 700, 573, 807, 25906, 563, 296, 723, 873, 782, 2336, 7069, 2186, 619, 616, 2324, 593, 713, 9904, 1433, 563, 2005, 10905, 4098, 4992, 543, 13002, 2259, 267, 547, 1655, 11694, 938, 942, 269, 901, 9904, 1433, 4422, 609, 10793, 19134, 2006, 781, 5152, 4804, 14594, 16319, 269, 13966, 609, 713, 1433, 267, 1250, 1053, 616, 849, 11264, 824, 2238, 689, 1250, 4804, 14594, 16319, 3640, 269, 901, 5152, 568, 513, 5172, 540, 1250, 1053, 543, 649, 666, 1405, 979, 513, 1554, 1510, 13465, 621, 256, 1284, 1256, 723, 20036, 1688, 20517, 547, 979, 609, 621, 563, 296, 1175, 2813, 513, 3619, 12551, 10794, 1759, 593, 713, 5152, 267, 1932, 2336, 7883, 12551, 568, 2141, 513, 10178, 5172, 538, 1250, 4928, 256, 1677, 1404, 713, 3014, 267, 1053, 786, 6474, 519, 4605, 609, 922, 4098, 3280, 269, 2290, 2427, 540, 519, 6486, 814, 1175, 519, 4605, 543, 519, 824, 2427, 814, 519, 4098, 3280, 269, 901, 3014, 849, 2501, 609, 513, 12805, 3854, 5022, 547, 2539, 2013, 5022, 4528, 563, 26589, 609, 4098, 4992, 2259, 267, 1250, 2186, 1120, 691, 2996, 723, 849, 1044, 1565, 930, 8289, 1913, 269, 1358, 4312, 1044, 11981, 1250, 15206, 4260, 7958, 22054, 10658, 26072, 269, 1411, 666, 1224, 1250, 5816, 2022, 827, 519, 4845, 13410, 1934, 269, 594, 849, 2813, 891, 8289, 2262, 2259, 3817, 267, 602, 979, 2059, 609, 4260, 7958, 563, 1607, 8342, 2060, 590, 697, 9293, 2534, 3640, 267, 3568, 476, 274, 1114, 2238, 602, 616, 1142, 13042, 609, 519, 3992, 2338, 547, 948, 596, 3251, 6896, 269, 634, 2534, 9212, 4268, 538, 7411, 865, 596, 666, 3362, 16174, 707, 4245, 563, 29493, 1154, 543, 717, 1663, 532, 454, 29493, 1154, 267, 717, 1663, 532, 267, 543, 5675, 454, 2467, 568, 849, 513, 4845, 1603, 10959, 267, 607, 1134, 563, 296, 4126, 596, 10150, 2542, 827, 930, 540, 519, 2238, 1250, 2186, 1120, 691, 2996, 723, 1044, 3257, 256, 0, 24342, 15907, 519, 5680, 585, 667, 23677, 454, 12988, 547, 519, 667, 23677, 2012, 2985, 454, 291, 23677, 568, 519, 4158, 652, 3942, 540, 1000, 559, 697, 538, 519, 10543, 269, 4438, 2038, 547, 13591, 5933, 540, 1000, 559, 697, 267, 972, 949, 581, 2614, 1769, 538, 519, 6607, 896, 2312, 1606, 5652, 2175, 547, 1224, 13964, 1510, 5841, 26149, 563, 763, 667, 639, 5652, 2782, 321, 2401, 630, 303, 1506, 961, 8113, 22455, 535, 19895, 9850, 264, 568, 513, 6978, 2112, 321, 2401, 799, 14981, 538, 7532, 5607, 269, 901, 2112, 321, 2401, 568, 9244, 27436, 543, 24475, 538, 22703, 5607, 563, 763, 667, 639, 5652, 28202, 2313, 630, 307, 6324, 639, 552, 684, 558, 639, 264, 568, 513, 4759, 540, 519, 4278, 2313, 1920, 5695, 323, 13160, 799, 14981, 7532, 2072, 689, 3844, 27584, 4997, 563, 763, 546, 639, 5652, 18107, 514, 630, 299, 10402, 528, 1506, 333, 577, 639, 2116, 2017, 639, 264, 568, 513, 18107, 514, 1336, 538, 9381, 7297, 538, 519, 8828, 25955, 563, 763, 667, 639, 5652, 7935, 322, 1228, 630, 25721, 877, 320, 1121, 20811, 264, 568, 513, 26615, 540, 519, 1920, 3143, 9822, 13160, 269, 898, 568, 7856, 2429, 2342, 543, 11894, 267, 8151, 2066, 519, 6022, 792, 8157, 10357, 29773, 547, 27584, 4997, 267, 2494, 577, 22202, 543, 3567, 269, 0, 3451, 4458, 6040, 1325, 758, 631, 880, 571, 814, 513, 590, 3415, 18074, 13561, 31748, 538, 1010, 1688, 269, 1261, 2798, 693, 922, 7828, 543, 12134, 267, 834, 1432, 568, 713, 1572, 8119, 589, 669, 11501, 540, 834, 331, 839, 257, 25361, 519, 4928, 269, 1261, 1287, 7575, 519, 8254, 2427, 1811, 269, 968, 1432, 568, 713, 1572, 286, 2223, 646, 12134, 269, 7754, 940, 267, 3081, 519, 1362, 563, 763, 4055, 568, 4904, 609, 513, 19619, 540, 827, 476, 1839, 1453, 267, 3368, 540, 873, 8695, 269, 1358, 616, 9361, 538, 1937, 2993, 781, 808, 2465, 7079, 5842, 560, 3873, 3427, 543, 616, 1934, 547, 1451, 519, 9238, 540, 8254, 2553, 543, 1650, 2389, 2454, 269, 1358, 4866, 547, 519, 1937, 2993, 918, 10008, 342, 3385, 1793, 4548, 563, 763, 6821, 540, 519, 4055, 616, 25549, 890, 778, 269, 898, 814, 513, 1507, 7484, 4580, 538, 922, 1318, 7944, 269, 1809, 1018, 6763, 856, 568, 519, 476, 5655, 20878, 7641, 9361, 1318, 1141, 519, 3109, 4580, 2356, 568, 563, 6546, 781, 1317, 713, 568, 1100, 8723, 1362, 269, 634, 1053, 616, 1373, 8036, 538, 8254, 543, 1650, 2389, 2454, 2553, 607, 851, 540, 513, 476, 275, 6377, 17489, 13186, 22555, 676, 3131, 1061, 24436, 269, 1656, 4352, 519, 1445, 936, 891, 2185, 2395, 568, 2469, 547, 581, 3069, 267, 519, 1544, 568, 547, 2110, 2000, 626, 519, 1655, 1650, 2856, 543, 1205, 519, 3214, 547, 1118, 513, 4670, 782, 676, 2933, 269, 1358, 786, 9496, 543, 957, 538, 621, 269, 634, 2856, 786, 581, 6074, 689, 519, 2984, 519, 3214, 616, 1603, 607, 513, 4990, 6361, 7084, 585, 519, 1362, 563, 300, 880, 571, 267, 11300, 15440, 693, 3131, 1061, 24436, 267, 3081, 267, 968, 2171, 4941, 547, 2285, 519, 3214, 689, 713, 31324, 540, 2486, 519, 4316, 547, 2263, 1018, 789, 666, 2731, 798, 269, 594, 1810, 1405, 1616, 547, 6003, 873, 607, 896, 1440, 643, 850, 3022, 269, 1358, 616, 711, 896, 1440, 643, 850, 3022, 269, 1284, 1810, 1405, 2285, 873, 519, 1318, 4316, 547, 2097, 593, 1612, 609, 3214, 689, 824, 31324, 540, 2486, 269, 1703, 568, 7130, 3034, 3891, 3081, 646, 543, 1010, 7525, 9120, 538, 519, 2754, 3357, 909, 609, 519, 2856, 540, 1210, 519, 8254, 547, 948, 7668, 1793, 636, 3214, 563, 14881, 1185, 2760, 2938, 971, 513, 8254, 1354, 2223, 3081, 476, 1724, 4458, 6040, 4210, 777, 333, 559, 1323, 21186, 331, 22894, 267, 945, 568, 9849, 513, 4158, 4544, 5538, 338, 518, 543, 513, 3043, 25099, 269, 1323, 21186, 331, 22894, 781, 9599, 3068, 568, 607, 6505, 607, 519, 2699, 512, 11986, 593, 1010, 30432, 269, 1261, 15055, 4947, 547, 519, 1362, 547, 1451, 519, 2553, 563, 4322, 3214, 723, 2097, 547, 519, 13186, 538, 19220, 540, 621, 1373, 513, 9702, 267, 19962, 547, 519, 10026, 630, 9526, 532, 264, 11400, 269, 13575, 267, 789, 7390, 519, 13186, 585, 827, 476, 273, 3108, 1310, 741, 1153, 7475, 693, 476, 1321, 269, 1789, 10681, 563, 12663, 891, 2553, 581, 540, 1022, 948, 286, 968, 8133, 267, 649, 666, 1631, 1589, 540, 10024, 519, 4670, 1899, 2223, 3081, 476, 1724, 4458, 6040, 12891, 880, 808, 836, 600, 267, 4171, 3993, 23619, 669, 777, 15384, 585, 513, 2713, 269, 3571, 4651, 646, 3081, 267, 834, 1348, 338, 16051, 6652, 4799, 3891, 568, 711, 519, 1152, 2875, 945, 9909, 540, 513, 4876, 5473, 519, 8254, 543, 1650, 2389, 2454, 269, 476, 1691, 4458, 6040, 918, 10095, 14088, 3081, 1352, 666, 1631, 1831, 513, 27680, 563, 300, 880, 571, 3081, 602, 593, 519, 1101, 1554, 540, 519, 13186, 267, 950, 646, 1185, 4280, 873, 2055, 827, 741, 4876, 4566, 267, 972, 7012, 1405, 1454, 3210, 269, 968, 4002, 519, 2034, 1554, 540, 519, 13186, 267, 594, 5143, 873, 875, 519, 8254, 666, 581, 1031, 585, 3377, 3766, 1430, 532, 267, 585, 2083, 2719, 1256, 1919, 971, 607, 12311, 26204, 269, 1656, 1287, 513, 8004, 1767, 594, 1616, 547, 581, 513, 19784, 269, 1284, 1175, 723, 547, 2285, 873, 3255, 269, 4634, 24385, 531, 2115, 513, 16455, 269, 1358, 849, 991, 2576, 547, 3391, 873, 269, 634, 1034, 1271, 3364, 568, 547, 1205, 873, 547, 1376, 18468, 538, 2933, 543, 581, 8746, 1848, 0, 314, 25924, 316, 1280, 2564, 5301, 267, 964, 31731, 1436, 568, 513, 1505, 547, 2569, 610, 9004, 606, 11248, 26141, 2942, 5114, 547, 513, 6219, 610, 17003, 269, 1280, 1383, 267, 952, 513, 1268, 609, 3987, 22577, 814, 513, 3983, 13027, 5114, 547, 2921, 513, 2407, 9570, 540, 14132, 7378, 267, 519, 4387, 3947, 519, 1268, 513, 2357, 2483, 28062, 1566, 5291, 2517, 523, 25769, 3820, 28293, 270, 5327, 31731, 1436, 318, 263, 25924, 994, 314, 17595, 1108, 316, 12292, 666, 849, 581, 964, 31731, 1242, 547, 741, 7787, 610, 19450, 12194, 269, 589, 5198, 7504, 945, 12194, 519, 4358, 10766, 666, 581, 964, 31731, 1242, 547, 519, 31604, 2609, 630, 1492, 1212, 752, 540, 519, 10766, 267, 519, 4358, 11350, 267, 519, 20583, 2230, 264, 835, 693, 513, 942, 267, 538, 1507, 13066, 610, 693, 513, 3845, 269, 22110, 1696, 620, 19601, 28062, 1566, 5291, 2517, 523, 25769, 3820, 28293, 270, 5327, 31731, 1436, 318, 263, 17595, 1108, 994, 314, 974, 548, 20664, 316, 1280, 26313 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 1656, 972, 616, 1079, 2101, 2010, 540, 530, 24548, 12077, 267, 10434, 2264, 654, 24548, 543, 12229, 654, 24548, 563, 2467, 616, 824, 1016, 11665, 5874, 607, 1134, 899, 16510, 654, 24548, 267, 5794, 8566, 11474, 654, 24548, 267, 31654, 617, 658, 654, 24548, 267, 3092, 269, 855, 538, 713, 2376, 267, 649, 786, 6615, 938, 6476, 547, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 563, 21156, 540, 1210, 2228, 9467, 5867, 585, 19116, 267, 513, 23129, 568, 519, 32343, 1747, 547, 3180, 3059, 7221, 269, 5221, 519, 15170, 2872, 568, 7925, 547, 6880, 6937, 267, 7446, 513, 22973, 543, 5150, 3760, 568, 2629, 269, 1358, 1522, 849, 2303, 596, 946, 3791, 18407, 530, 24548, 952, 1880, 5867, 616, 8572, 547, 1489, 741, 23129, 563, 268, 476, 272, 269, 9978, 4197, 540, 530, 24548, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 268, 476, 273, 269, 8232, 17972, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 268, 476, 274, 269, 661, 848, 540, 2422, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 268, 476, 275, 269, 8081, 539, 4354, 11750, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 268, 476, 276, 269, 7982, 1575, 543, 10163, 648, 17972, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 268, 476, 277, 269, 12313, 543, 8779, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 268, 476, 278, 269, 5800, 1464, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 268, 645, 18847, 7412, 281, 12229, 654, 24548, 25966, 10434, 2264, 654, 24548, 454, 272, 269, 9978, 4197, 540, 530, 24548, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 26773, 2264, 15170, 530, 24548, 3277, 547, 607, 4411, 530, 24548, 538, 519, 2361, 540, 3059, 7221, 269, 12019, 4859, 530, 24548, 666, 1832, 519, 7221, 538, 519, 2168, 3457, 267, 1510, 519, 991, 585, 2228, 13763, 563, 5825, 619, 666, 1832, 741, 7221, 5150, 22356, 609, 519, 3498, 8704, 593, 8800, 530, 24548, 269, 634, 23129, 1152, 14998, 1569, 3842, 513, 4357, 1883, 950, 519, 3926, 13462, 547, 519, 1292, 2780, 1062, 610, 3926, 563, 7712, 519, 7221, 616, 711, 6854, 593, 1022, 4950, 13763, 855, 2864, 593, 22356, 4859, 267, 6880, 3430, 2931, 6175, 269, 2667, 1115, 6740, 538, 713, 6073, 616, 2484, 811, 5150, 1317, 513, 3791, 5428, 3112, 1569, 873, 2228, 267, 2523, 952, 789, 3668, 513, 5728, 1883, 563, 288, 8800, 23129, 23352, 1022, 1761, 585, 513, 3791, 5428, 547, 1852, 8852, 543, 4309, 1569, 547, 519, 3593, 779, 11834, 1686, 563, 14300, 540, 2442, 10434, 2264, 654, 24548, 454, 6944, 2858, 5944, 267, 3156, 585, 3301, 530, 24548, 666, 581, 22434, 593, 11436, 543, 824, 5769, 268, 8588, 3457, 269, 31427, 9520, 666, 4558, 741, 11113, 543, 21797, 538, 835, 1747, 609, 519, 948, 540, 15170, 3301, 530, 24548, 563, 5445, 616, 2147, 547, 875, 519, 4871, 2272, 3947, 596, 1569, 547, 9806, 543, 23831, 2472, 269, 12229, 530, 24548, 4749, 849, 1450, 3755, 547, 6718, 267, 23396, 267, 22937, 267, 543, 7118, 15170, 563, 763, 3301, 3498, 814, 513, 3551, 3593, 8818, 267, 543, 1152, 519, 1268, 609, 1010, 4357, 10569, 949, 1569, 621, 269, 12229, 530, 24548, 616, 513, 4990, 540, 3059, 23129, 602, 949, 4558, 782, 540, 707, 1239, 543, 8852, 593, 513, 5985, 3926, 563, 2252, 596, 3765, 2897, 707, 23129, 779, 4357, 10569, 267, 3478, 1569, 547, 2228, 530, 24548, 568, 711, 1932, 2352, 547, 798, 269, 2659, 3024, 1963, 616, 6854, 5150, 689, 3354, 23563, 7064, 547, 519, 1079, 9912, 19027, 1184, 543, 782, 519, 5728, 10569, 563, 25413, 2264, 654, 24548, 5288, 16510, 654, 24548, 454, 2750, 4219, 654, 24548, 616, 513, 1016, 11665, 2305, 540, 12229, 654, 24548, 855, 616, 811, 7925, 547, 3478, 11360, 539, 563, 1103, 2241, 2474, 267, 16510, 654, 24548, 616, 519, 530, 24548, 602, 596, 1294, 593, 782, 519, 1401, 577, 5190, 899, 645, 12099, 267, 918, 1075, 7765, 267, 3092, 269, 1717, 267, 936, 942, 1401, 577, 5190, 723, 3323, 1210, 513, 4999, 540, 1312, 12229, 543, 10434, 2264, 654, 24548, 602, 3947, 596, 1390, 3354, 547, 9520, 685, 7482, 563, 14300, 540, 15822, 16510, 654, 24548, 616, 912, 763, 9893, 779, 3301, 3091, 519, 5207, 1377, 540, 4027, 585, 3593, 1239, 543, 7834, 563, 763, 5354, 540, 15377, 1683, 1863, 3301, 23129, 946, 267, 543, 596, 666, 3442, 1063, 513, 18799, 23129, 543, 513, 1582, 2275, 755, 1328, 23129, 563, 290, 7973, 334, 3755, 666, 4483, 267, 4309, 267, 543, 4558, 3059, 7221, 543, 19728, 1210, 3301, 21888, 530, 24548, 269, 589, 3593, 568, 3927, 2870, 606, 2272, 585, 513, 15170, 23129, 540, 519, 6074, 11777, 11305, 7973, 9242, 6275, 2899, 646, 23297, 513, 21888, 3760, 610, 5385, 547, 11677, 8852, 936, 519, 21888, 2344, 563, 14300, 540, 12229, 654, 24548, 824, 982, 16510, 654, 24548, 912, 273, 269, 8232, 17972, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 2691, 649, 2911, 827, 3059, 7221, 267, 649, 3717, 827, 7221, 602, 513, 7925, 547, 2228, 6285, 269, 25214, 267, 972, 616, 513, 1297, 540, 8320, 13296, 9520, 723, 11124, 5458, 9271, 1317, 741, 7221, 723, 1044, 21687, 563, 763, 16970, 1249, 827, 26429, 11750, 568, 602, 972, 568, 1100, 835, 945, 1131, 1256, 6432, 547, 707, 13668, 952, 707, 6589, 723, 1044, 11360, 539, 269, 4634, 952, 972, 568, 513, 973, 6847, 267, 621, 786, 1491, 9488, 3646, 547, 23074, 707, 7482, 563, 8649, 573, 782, 540, 713, 267, 1164, 5498, 2579, 31427, 530, 24548, 2490, 856, 547, 581, 1360, 2500, 269, 589, 4341, 540, 14853, 568, 602, 10434, 2264, 654, 24548, 899, 7066, 345, 528, 267, 27439, 3455, 267, 5901, 4486, 616, 811, 17956, 982, 12229, 530, 24548, 1317, 519, 17721, 10569, 616, 6740, 538, 519, 3926, 3294, 563, 32207, 958, 596, 786, 1265, 513, 2168, 1883, 593, 1142, 8800, 23129, 799, 568, 1031, 547, 2347, 513, 11834, 269, 901, 1883, 8591, 513, 4494, 540, 3354, 547, 707, 7221, 563, 7312, 17721, 1883, 568, 2838, 547, 4283, 883, 513, 11834, 543, 2094, 621, 568, 22356, 538, 707, 8800, 23129, 267, 621, 3587, 2352, 585, 621, 547, 581, 11360, 539, 563, 4002, 519, 14669, 267, 12229, 530, 24548, 899, 5450, 600, 2532, 1299, 11565, 310, 531, 2280, 616, 849, 2922, 607, 519, 4357, 1883, 568, 711, 3838, 855, 952, 649, 5635, 10434, 2264, 1299, 12229, 530, 24548, 2212, 547, 2212, 585, 3354, 1287, 10434, 2264, 654, 24548, 616, 6157, 5116, 693, 513, 1732, 10540, 1756, 563, 274, 269, 661, 848, 540, 2422, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 5194, 1271, 3815, 602, 1754, 985, 707, 2702, 547, 3442, 707, 23129, 568, 661, 848, 540, 2422, 269, 634, 3926, 610, 3498, 1058, 711, 581, 865, 2352, 547, 19022, 602, 513, 1007, 20090, 9060, 621, 2352, 547, 10146, 519, 10380, 543, 6165, 1184, 563, 1103, 713, 2543, 267, 12229, 530, 24548, 616, 9425, 2653, 547, 946, 269, 769, 513, 2428, 9917, 961, 267, 4896, 945, 568, 1134, 2613, 539, 609, 2596, 2780, 12981, 666, 3362, 7500, 513, 12229, 9546, 2280, 1510, 1454, 948, 563, 26773, 2264, 654, 24548, 10460, 513, 2370, 4161, 950, 621, 2501, 547, 5665, 543, 8848, 1005, 873, 609, 707, 24195, 610, 824, 3457, 269, 1717, 267, 609, 513, 3787, 540, 5583, 267, 4896, 666, 1451, 547, 946, 10434, 2264, 15170, 654, 24548, 1932, 563, 275, 269, 8081, 539, 4354, 11750, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 2304, 20090, 1058, 1413, 585, 513, 23129, 602, 666, 1489, 519, 5021, 1297, 540, 19728, 269, 9282, 596, 786, 711, 581, 2111, 547, 4444, 865, 1082, 19728, 267, 2705, 267, 621, 568, 1732, 547, 723, 621, 543, 711, 946, 2864, 982, 711, 723, 621, 693, 782, 563, 1607, 3815, 538, 1250, 6644, 949, 711, 581, 1360, 1271, 855, 585, 15170, 18318, 267, 621, 6157, 568, 796, 28300, 762, 563, 26773, 2264, 654, 24548, 899, 7066, 345, 528, 7028, 891, 11113, 267, 27439, 3455, 7028, 891, 563, 1103, 4334, 547, 713, 267, 12229, 530, 24548, 1489, 513, 2603, 811, 607, 789, 616, 782, 3498, 1759, 563, 18404, 600, 2532, 666, 1489, 1034, 540, 519, 21797, 593, 519, 21578, 9893, 269, 1411, 666, 2417, 19022, 621, 547, 1039, 645, 12099, 12829, 20456, 267, 12443, 12455, 8416, 267, 20653, 553, 23204, 267, 543, 865, 593, 630, 22069, 3570, 568, 711, 6462, 676, 5450, 600, 2532, 693, 1459, 267, 9520, 666, 2263, 1912, 656, 558, 585, 3752, 3570, 2861, 21797, 1040, 634, 1482, 568, 3020, 585, 11565, 310, 531, 2280, 607, 1134, 563, 276, 269, 7982, 1575, 543, 10163, 648, 17972, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 763, 19307, 543, 11177, 10342, 585, 1312, 12229, 543, 10434, 2264, 530, 24548, 616, 2147, 269, 3502, 1454, 3017, 936, 1934, 607, 1312, 2154, 596, 547, 4283, 707, 1780, 874, 19189, 547, 1205, 1569, 547, 707, 2272, 563, 296, 786, 1289, 621, 513, 17063, 1063, 10434, 2264, 543, 12229, 530, 24548, 593, 713, 7355, 563, 277, 269, 12313, 543, 8779, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 1607, 568, 1141, 972, 568, 513, 17804, 3017, 267, 519, 3902, 1448, 269, 4107, 540, 519, 12229, 654, 24548, 616, 5131, 547, 946, 1256, 950, 621, 2501, 547, 16510, 530, 24548, 269, 1809, 972, 616, 10243, 12375, 602, 596, 723, 547, 2628, 950, 596, 6223, 563, 2690, 1383, 267, 952, 596, 946, 645, 12099, 9546, 2280, 596, 786, 723, 547, 8774, 476, 271, 269, 4905, 260, 12375, 689, 707, 2272, 585, 1818, 513, 6718, 610, 9042, 563, 4002, 519, 824, 1688, 267, 10434, 2264, 654, 24548, 616, 2168, 3457, 602, 2097, 693, 513, 4086, 2406, 1164, 1942, 269, 7127, 1377, 7066, 345, 528, 1775, 4318, 269, 7066, 345, 528, 7844, 2290, 3790, 596, 1472, 1269, 7761, 543, 7127, 7400, 27439, 3455, 30594, 590, 9578, 3790, 596, 1472, 1269, 6795, 454, 278, 269, 5800, 1464, 281, 10434, 2264, 654, 24548, 25966, 12229, 654, 24548, 454, 25413, 2264, 3457, 798, 711, 991, 513, 5094, 3926, 585, 596, 547, 960, 593, 269, 2659, 15291, 610, 5985, 6049, 568, 2614, 547, 946, 607, 513, 12229, 9546, 2280, 563, 4002, 519, 14669, 267, 513, 10434, 2264, 9546, 2280, 607, 596, 917, 568, 513, 2168, 3926, 543, 26328, 2230, 269, 10434, 2264, 9546, 2280, 17738, 899, 27439, 3455, 30594, 590, 9578, 616, 1507, 899, 513, 4050, 5397, 543, 616, 15409, 2614, 563, 289, 18847, 7412, 281, 12229, 654, 24548, 25966, 10434, 2264, 654, 24548, 454, 2005, 568, 711, 2653, 547, 3442, 1063, 12229, 654, 24548, 25966, 10434, 2264, 654, 24548, 269, 7316, 10434, 2264, 530, 24548, 2709, 811, 8232, 267, 12229, 530, 24548, 616, 2653, 547, 946, 543, 6140, 1863, 547, 946, 563, 13356, 4575, 2390, 835, 568, 8200, 2390, 707, 10421, 269, 1403, 596, 616, 513, 911, 1457, 596, 1131, 4782, 3301, 530, 24548, 267, 1034, 4481, 5385, 530, 24548, 899, 918, 1075, 7765, 267, 13535, 11893, 267, 543, 645, 12099, 269, 1717, 267, 952, 596, 616, 513, 1279, 3856, 20090, 596, 1131, 4782, 513, 10434, 2264, 9546, 2280, 899, 27439, 3455, 610, 7066, 345, 528, 563, 9827, 267, 519, 7061, 540, 707, 5092, 666, 948, 596, 6430, 519, 2186, 540, 23129, 269, 1403, 596, 616, 8185, 16539, 538, 26429, 11750, 513, 10434, 2264, 23129, 1058, 581, 707, 6654, 3903, 269, 0, 763, 1164, 2604, 4492, 6802, 568, 606, 1898, 851, 540, 1022, 6174, 602, 3096, 17405, 610, 17088, 4492, 269, 898, 4229, 4492, 883, 519, 2599, 693, 5393, 1164, 12503, 563, 1692, 1684, 1452, 23556, 623, 7927, 4518, 888, 288, 1164, 2604, 4492, 6802, 1568, 676, 16550, 4492, 998, 1507, 9475, 1572, 1100, 26072, 269, 1452, 1100, 26072, 616, 4092, 3330, 519, 6802, 8027, 269, 1879, 519, 4492, 10596, 998, 891, 1100, 26072, 267, 621, 568, 19316, 269, 901, 13496, 5932, 513, 3196, 602, 24864, 519, 4492, 856, 540, 519, 30979, 543, 883, 519, 2599, 563, 15650, 540, 4400, 16242, 23556, 623, 7927, 454, 2467, 616, 1079, 1292, 2010, 540, 1164, 2604, 4492, 15450, 281, 2318, 12761, 543, 25916, 531, 269, 15474, 12761, 15450, 946, 16537, 976, 547, 7903, 4492, 998, 519, 1100, 26072, 269, 2578, 22989, 531, 15450, 946, 791, 25527, 547, 798, 519, 1482, 3364, 563, 19119, 540, 4635, 1452, 9537, 540, 23556, 623, 7927, 538, 14825, 12067, 10241, 454, 11947, 2604, 4492, 15450, 616, 1031, 538, 16669, 3156, 1317, 789, 1683 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5660, 1142, 824, 781, 5133, 1317, 789, 666, 12398, 2370, 538, 1455, 547, 2911, 827, 269, 769, 1931, 585, 596, 547, 723, 513, 6643, 609, 1004, 945, 1491, 519, 10723, 543, 16637, 550, 12517, 267, 594, 993, 11021, 602, 596, 2119, 3168, 693, 4984, 538, 930, 1007, 267, 811, 1179, 325, 2772, 569, 10236, 1670, 267, 2081, 602, 786, 948, 596, 5431, 602, 519, 10723, 568, 711, 513, 2243, 540, 2436, 610, 711, 649, 3494, 538, 2696, 267, 610, 950, 649, 666, 4126, 547, 856, 326, 992, 713, 1126, 880, 1102, 520, 6672, 563, 9989, 717, 753, 2709, 513, 5266, 2241, 543, 1863, 29280, 4214, 540, 968, 338, 659, 1042, 892, 2443, 821, 602, 3085, 1406, 2154, 1296, 540, 1353, 547, 1174, 888, 24493, 717, 753, 262, 19795, 267, 519, 10723, 568, 1945, 649, 1995, 538, 519, 1576, 540, 513, 18497, 2680, 282, 621, 568, 711, 538, 519, 1101, 1747, 513, 1523, 269, 717, 753, 3622, 14753, 540, 519, 1995, 538, 2474, 540, 519, 1219, 518, 1537, 540, 5208, 610, 519, 1219, 518, 1042, 3261, 566, 540, 606, 1843, 540, 3838, 7287, 269, 634, 10723, 568, 711, 3833, 519, 1482, 607, 519, 1713, 543, 865, 1281, 711, 22937, 3294, 547, 513, 834, 16451, 29280, 4214, 2668, 717, 753, 568, 711, 3843, 547, 4020, 513, 21042, 9713, 1062, 1141, 1913, 616, 2016, 5730, 8847, 269, 1548, 568, 1271, 538, 1010, 1259, 540, 3206, 568, 547, 1353, 875, 1913, 616, 1031, 538, 606, 3801, 547, 7413, 910, 2569, 11991, 10054, 910, 938, 1620, 540, 1018, 568, 2556, 585, 3425, 547, 723, 513, 12300, 2680, 610, 1995, 563, 9767, 4076, 6035, 1079, 2009, 24300, 540, 1141, 519, 1007, 1106, 540, 1514, 1931, 3357, 689, 269, 6904, 835, 568, 16523, 286, 901, 4667, 547, 803, 606, 1271, 1448, 267, 1317, 938, 10182, 4724, 602, 968, 845, 540, 1514, 1931, 892, 786, 581, 32753, 1114, 2687, 547, 938, 2070, 540, 922, 8129, 267, 543, 519, 1514, 6286, 616, 26832, 563, 16927, 1810, 1405, 1589, 519, 6286, 616, 693, 782, 26832, 2899, 596, 9772, 1250, 2186, 540, 10236, 1670, 5133, 269, 594, 4043, 547, 581, 513, 519, 626, 1498, 594, 723, 547, 960, 693, 621, 538, 519, 2631, 602, 594, 993, 3222, 875, 606, 1995, 270, 935, 4003, 540, 519, 10143, 568, 513, 683, 806, 776, 851, 540, 1373, 1480, 267, 540, 4687, 609, 1866, 10207, 593, 799, 649, 1219, 518, 938, 3838, 4390, 585, 5208, 269, 769, 824, 1913, 267, 3661, 538, 2696, 568, 711, 2731, 519, 3903, 269, 898, 568, 811, 513, 2243, 540, 1018, 568, 2696, 267, 607, 2484, 607, 3425, 666, 917, 269, 7102, 3118, 267, 10700, 2055, 540, 875, 1454, 2696, 568, 513, 1480, 5137, 543, 875, 1454, 513, 840, 8410, 1288, 585, 8103, 666, 581, 15741, 9643, 543, 1810, 1405, 3313, 538, 1022, 1259, 594, 993, 3222, 875, 594, 2992, 593, 19795, 267, 2486, 267, 6214, 267, 2528, 267, 3092, 269, 1548, 621, 5540, 5310, 568, 811, 835, 781, 22026, 585, 21245, 3527, 538, 1434, 5132, 267, 610, 835, 781, 18515, 547, 4497, 538, 519, 2556, 960, 540, 11755, 11721, 28216, 995, 3206, 563, 1432, 798, 596, 1589, 540, 681, 773, 742, 779, 968, 684, 1664, 569, 796, 531, 614, 762, 9495, 1772, 972, 971, 606, 3662, 888, 7304, 773, 742, 4667, 547, 581, 6158, 827, 519, 1995, 540, 3909, 31249, 344, 267, 538, 799, 5108, 1310, 5108, 2132, 547, 3314, 15713, 2621, 267, 15646, 9629, 725, 267, 543, 6650, 2510, 538, 1454, 519, 1482, 1259, 269, 1261, 1100, 8969, 814, 1454, 547, 4001, 721, 827, 1018, 621, 1797, 547, 2661, 538, 513, 3838, 26315, 2066, 942, 269, 1717, 267, 713, 1620, 540, 519, 10723, 1281, 711, 2272, 585, 782, 2009, 2833, 540, 519, 10723, 269, 1703, 616, 16712, 3029, 540, 519, 10723, 267, 540, 519, 2833, 540, 938, 7287, 1373, 8195, 13631, 543, 1219, 518, 1042, 538, 2870, 1931, 267, 971, 607, 519, 1949, 538, 799, 7082, 2486, 13333, 563, 3891, 729, 4280, 827, 519, 4719, 8129, 540, 630, 1410, 5477, 264, 32270, 543, 14452, 602, 827, 476, 1789, 260, 540, 8390, 538, 4638, 10066, 666, 581, 20039, 585, 676, 6090, 269, 1261, 4769, 1406, 2736, 1524, 519, 824, 476, 3583, 14999, 16927, 723, 1100, 8969, 602, 649, 616, 782, 4535, 609, 513, 1978, 2186, 540, 1367, 2470, 610, 7209, 4171, 17830, 568, 2907, 4646, 269, 1656, 267, 4470, 593, 519, 3140, 610, 1514, 2796, 883, 799, 649, 616, 4535, 267, 713, 786, 4043, 547, 1404, 856, 538, 1585, 2081, 543, 711, 1866, 269, 1809, 621, 4667, 547, 581, 14902, 762, 547, 1589, 835, 666, 2736, 1524, 4638, 10066, 676, 21159, 883, 922, 4719, 543, 824, 3334, 269, 634, 2009, 2081, 540, 1373, 1480, 616, 7361, 3140, 538, 2470, 267, 543, 1022, 3801, 547, 2569, 891, 547, 4719, 2188, 602, 27581, 7500, 1454, 519, 1482, 2476, 2066, 942, 4667, 547, 803, 513, 3014, 1152, 585, 1346, 945, 723, 2370, 6161, 585, 875, 7287, 568, 4121, 538, 519, 6389, 540, 1875, 2173, 1468, 2528, 563, 295, 558, 18400, 338, 685, 1007, 1922, 895, 2631, 540, 2933, 607, 513, 1895, 609, 513, 2797, 16786, 568, 4440, 513, 1267, 540, 519, 20655, 543, 7130, 602, 789, 4076, 5185, 936, 519, 1296, 269, 1656, 2943, 267, 972, 568, 711, 1175, 835, 16786, 610, 835, 1995, 267, 855, 1082, 454, 6361, 1576, 267, 519, 3801, 547, 2569, 14920, 547, 1022, 3044, 1995, 568, 513, 18174, 781, 3014, 269, 898, 568, 513, 3903, 543, 649, 3112, 1917, 1055, 19163, 827, 621, 607, 971, 585, 782, 5079, 723, 1514, 6286, 269, 1411, 917, 267, 835, 540, 519, 4277, 1919, 827, 6408, 776, 6214, 568, 602, 1454, 15594, 2219, 2221, 4422, 856, 540, 922, 1259, 547, 20912, 602, 972, 568, 1022, 1898, 3017, 1063, 2367, 543, 2021, 267, 1247, 519, 5767, 834, 4302, 518, 257, 16809, 4422, 856, 540, 922, 1259, 547, 31274, 593, 930, 1898, 6211, 3017, 269, 1809, 713, 28365, 3017, 1063, 8706, 1235, 543, 6446, 619, 4667, 547, 803, 7361, 31544, 910, 711, 1759, 593, 513, 17396, 19795, 910, 1369, 513, 1455, 1884, 514, 558, 1014, 1143, 269, 1548, 1770, 525, 873, 568, 513, 24677, 602, 649, 723, 547, 3442, 547, 2661, 2687, 547, 835, 610, 1776, 1305, 540, 3838, 1514, 8155, 267, 543, 594, 1589, 602, 568, 606, 5470, 563, 7617, 4991, 721, 547, 713, 281, 901, 568, 2469, 547, 2154, 1857, 2069, 543, 3586, 23106, 602, 519, 5686, 540, 521, 1633, 619, 649, 4076, 14578, 4862, 689, 1857, 5515, 899, 16500, 616, 856, 540, 23451, 563, 16927, 1810, 1405, 1589, 16500, 568, 521, 1633, 1359, 28305, 7606, 950, 646, 3081, 602, 32270, 5012, 547, 476, 1571, 899, 4965, 610, 11980, 269, 13298, 646, 568, 5356, 606, 7664, 267, 3181, 23534, 267, 540, 1978, 28507, 21274, 269, 1306, 519, 1650, 540, 519, 834, 305, 664, 11312, 2657, 29663, 257, 594, 5532, 538, 519, 824, 2022, 2982, 267, 28305, 15628, 267, 950, 789, 1589, 621, 568, 568, 538, 741, 1719, 267, 849, 16153, 602, 972, 568, 513, 9756, 1063, 4630, 334, 1410, 7081, 543, 2362, 3928, 540, 4965, 543, 11980, 269, 3767, 267, 25401, 267, 952, 649, 3398, 713, 9756, 621, 1590, 581, 602, 2901, 1004, 811, 20916, 547, 1831, 20158, 610, 29047, 2490, 547, 32270, 610, 32270, 5012, 547, 2790, 4576, 811, 1419, 982, 609, 834, 14259, 697, 257, 1004, 267, 610, 1312, 563, 1607, 5012, 721, 883, 513, 4901, 594, 1175, 1810, 1405, 723, 519, 942, 610, 1648, 547, 2253, 1318, 1631, 269, 7439, 798, 594, 1589, 649, 723, 513, 1318, 547, 20818, 593, 16500, 547, 971, 606, 6708, 269, 594, 2303, 952, 596, 1616, 547, 3136, 713, 543, 1174, 1946, 1775, 1589, 519, 12666, 23381, 602, 649, 1058, 1175, 2661, 834, 26421, 547, 1010, 1378, 257, 910, 1510, 21108, 1978, 8155, 543, 3843, 547, 6460, 1866, 547, 938, 8155, 910, 3085, 1405, 960, 267, 649, 798, 621, 693, 930, 1448, 538, 519, 2104, 950, 594, 6415, 1447, 11112, 267, 543, 3842, 4757, 281, 18078, 17106, 11333, 3820, 454, 328, 2731, 991, 547, 7390, 547, 930, 824, 6927, 585, 519, 1985, 1906, 2395, 693, 2547, 269, 1655, 2676, 12148, 701, 619, 267, 596, 723, 4440, 9896, 1055, 519, 4901, 267, 855, 594, 3580, 1039, 713, 585, 4896, 945, 4523, 547, 1869, 581, 1739, 621, 912, 7312, 5114, 547, 519, 3621, 2963, 602, 594, 6035, 827, 519, 4719, 543, 17441, 3123, 540, 32270, 729, 602, 621, 729, 968, 331, 2795, 762, 1848, 1809, 596, 1705, 711, 2709, 1022, 4831, 2963, 543, 3079, 1152, 6829, 513, 2123, 6644, 602, 596, 1705, 711, 1256, 21898, 547, 1489, 609, 606, 4661, 269, 594, 6557, 2141, 3144, 676, 9983, 950, 4896, 1175, 968, 323, 1143, 1170, 525, 892, 2257, 538, 713, 1259, 267, 2523, 1317, 594, 917, 875, 16496, 602, 14962, 531, 1590, 581, 538, 513, 1158, 971, 607, 23600, 563, 2005, 949, 581, 3020, 602, 972, 568, 513, 2362, 2557, 540, 4965, 543, 11980, 1851, 14447, 9038, 538, 2489, 269, 594, 917, 585, 513, 1249, 602, 519, 11980, 3928, 1851, 14447, 12322, 616, 15372, 5944, 1164, 269, 901, 568, 711, 693, 782, 9670, 267, 6236, 519, 2126, 789, 4309, 269, 1358, 616, 711, 1175, 968, 2452, 532, 519, 6408, 1848, 1358, 616, 9601, 269, 1215, 666, 4896, 945, 14509, 519, 3232, 11356, 27642, 711, 547, 917, 713, 286, 1684, 596, 711, 917, 875, 14447, 30963, 6107, 616, 5701, 286, 2107, 875, 14447, 6107, 538, 4909, 626, 543, 7826, 5321, 2429, 713, 2197, 616, 695, 684, 2740, 543, 2322, 883, 968, 1492, 2805, 2223, 799, 811, 1419, 982, 711, 11479, 873, 2417, 883, 4965, 286, 9894, 596, 711, 1224, 5063, 827, 519, 1164, 1153, 1596, 602, 729, 23545, 539, 538, 14967, 1317, 513, 4775, 2875, 4941, 547, 3142, 1776, 8004, 609, 1200, 286, 1215, 798, 596, 1589, 971, 695, 7342, 1522, 723, 4299, 891, 1079, 1762, 7606, 888, 3719, 596, 9959, 602, 267, 968, 8421, 1227, 2223, 972, 666, 581, 1152, 1079, 4128, 585, 891, 2362, 3928, 540, 11980, 543, 4965, 269, 634, 1101, 568, 602, 20158, 1004, 2490, 547, 32270, 267, 543, 519, 2034, 568, 602, 32270, 5012, 547, 2790, 4576, 269, 630, 763, 1101, 540, 891, 267, 594, 1095, 2541, 267, 568, 513, 12235, 268, 12537, 286, 994, 7312, 3932, 5337, 2803, 2139, 2963, 543, 12346, 1932, 8185, 593, 7954, 12544, 7954, 602, 267, 538, 713, 2013, 267, 568, 3170, 958, 30096, 269, 6333, 585, 1383, 519, 1249, 602, 30963, 2021, 630, 14259, 697, 3283, 264, 946, 31520, 2484, 811, 982, 824, 2021, 538, 713, 2197, 269, 1215, 616, 649, 547, 2491, 713, 286, 1403, 972, 941, 711, 17542, 540, 1875, 5336, 768, 517, 2021, 609, 7247, 547, 5635, 873, 267, 649, 1522, 9959, 602, 1373, 513, 4807, 3123, 4965, 269, 1809, 713, 568, 21494, 563, 763, 2626, 568, 6654, 281, 30963, 2021, 946, 4550, 31398, 816, 1218, 693, 513, 2362, 2557, 1317, 540, 519, 1259, 789, 616, 5701, 269, 634, 1966, 538, 741, 2013, 568, 513, 3978, 19261, 540, 1379, 538, 3347, 543, 513, 2530, 540, 1852, 936, 741, 1378, 2729, 563, 7775, 2015, 519, 2362, 3928, 540, 5208, 543, 3075, 946, 1851, 3109, 6107, 538, 713, 2197, 269, 14348, 596, 9959, 602, 1373, 3109, 968, 8619, 4926, 892, 891, 2042, 286, 594, 1131, 4126, 711, 269, 1411, 949, 2626, 602, 32270, 267, 7429, 5198, 267, 568, 513, 6074, 3961, 269, 1809, 594, 1131, 267, 2899, 1586, 267, 1448, 596, 547, 519, 1804, 1560, 540, 3621, 2963, 602, 3081, 6382, 269, 2659, 14962, 531, 540, 602, 2963, 1281, 4986, 547, 1118, 621, 979, 2476, 563, 5415, 3978, 3029, 540, 2192, 2389, 13015, 267, 1519, 695, 7342, 267, 588, 25634, 1436, 267, 18275, 267, 7130, 267, 11648, 267, 2168, 14213, 338, 267, 543, 23948, 725, 666, 849, 2014, 4965, 543, 1256, 5397, 1004, 547, 11980, 269, 901, 568, 1175, 5369, 476, 6200, 267, 543, 621, 849, 4523, 547, 581, 1455, 1702, 563, 763, 2070, 602, 1004, 3479, 11980, 1152, 1317, 972, 568, 1945, 4636, 609, 873, 568, 711, 1152, 5667, 2615, 881, 855, 26704, 538, 519, 12852, 731, 1014, 2631, 269, 634, 6408, 1590, 581, 9228, 607, 16944, 563, 3719, 594, 666, 2995, 596, 835, 3364, 585, 2386, 281, 1879, 513, 6505, 543, 16805, 476, 1724, 268, 610, 476, 1691, 4458, 6040, 6107, 862, 1080, 11980, 1317, 646, 814, 4810, 606, 11566, 2631, 540, 1010, 1378, 16203, 543, 4502, 16531, 936, 1373, 14447, 267, 1287, 1945, 538, 938, 2486, 21354, 2115, 21338, 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 ]

[ 3378, 28314, 20977, 9686, 7549, 26281, 10780, 13833, 21268, 17153, 21170, 13150, 4138, 269, 2843, 508, 4709, 11714, 9924, 16021, 4814, 15800, 17153, 16068, 25338, 4814, 19628, 24012, 15800, 10780, 5284, 379, 4814, 29652, 13833, 3522, 6459, 4586, 268, 2843, 507, 3264, 11714, 16044, 491, 4344, 21134, 18194, 3264, 6459, 3378, 2507, 910, 2843, 498, 3522, 11714, 16044, 491, 4344, 21134, 563, 7312, 4757, 2232, 786, 711, 581, 3370, 269, 22490, 4610, 616, 6825, 2608, 0, 307, 21764, 5508, 28132, 19006, 454, 299, 20235, 5463, 2888, 630, 6245, 277, 267, 476, 4572, 273, 267, 476, 4572, 274, 994, 306, 1495, 1144, 16011, 20050, 454, 5575, 15248, 661, 32642, 17619, 781, 10555, 14594, 630, 4350, 277, 994, 291, 665, 3701, 689, 10555, 6554, 1975, 344, 15051, 454, 20124, 540, 519, 20431, 566, 540, 1325, 13906, 23432, 6816, 676, 519, 1977, 4095, 11873, 630, 3422, 280, 994, 17457, 6406, 7126, 11873, 454, 292, 326, 30639, 267, 808, 269, 28423, 3767, 18830, 519, 4303, 281, 634, 19087, 6969, 519, 6406, 7126, 11873, 538, 519, 3162, 269, 30989, 10830, 267, 12135, 281, 2160, 540, 3345, 10491, 4964, 267, 476, 1960, 275, 269, 901, 13181, 3209, 2995, 519, 1650, 540, 1650, 540, 590, 719, 615, 2996, 945, 13934, 519, 3069, 540, 3043, 29686, 1354, 519, 10966, 7040, 7979, 31090, 1153, 17478, 543, 1354, 28266, 20088, 15189, 547, 21704, 1200, 10160, 593, 513, 27293, 1668, 563, 24464, 330, 691, 267, 1546, 4011, 1695, 267, 1325, 3570, 25371, 267, 543, 23514, 823, 700, 269, 7348, 267, 32308, 269, 32027, 519, 11873, 7982, 883, 6406, 7126, 9752, 281, 589, 12754, 6651, 585, 4147, 7741, 543, 18877, 269, 2136, 2276, 281, 5062, 288, 6113, 548, 24614, 267, 476, 1220, 275, 269, 901, 1433, 3568, 918, 268, 1321, 4245, 267, 3119, 2959, 267, 4116, 18759, 593, 3450, 827, 519, 2413, 6406, 7126, 11873, 267, 6965, 267, 6337, 267, 543, 3594, 547, 948, 3610, 4020, 811, 6209, 4485, 547, 713, 1974, 538, 1686, 269, 634, 13959, 3896, 3370, 676, 519, 24770, 543, 17813, 3194, 11059, 7027, 543, 9752, 585, 7827, 2882, 29433, 2326, 543, 1082, 3119, 2959, 607, 1134, 563, 28324, 928, 267, 8176, 631, 269, 543, 14088, 5682, 269, 5384, 7043, 518, 982, 681, 2100, 281, 589, 11416, 540, 3979, 1977, 2920, 13659, 267, 476, 6977, 271, 268, 4198, 271, 269, 1715, 3840, 281, 1715, 3840, 24505, 267, 476, 1220, 274, 269, 901, 1433, 6054, 519, 2039, 540, 3646, 676, 3979, 4892, 547, 8190, 519, 14767, 540, 519, 2022, 4211, 2753, 2782, 543, 25608, 543, 22919, 519, 2924, 4503, 547, 519, 3656, 17478, 543, 5208, 540, 519, 1101, 3368, 540, 519, 476, 736, 628, 2540, 563, 305, 753, 2421, 267, 22526, 269, 11875, 320, 22823, 543, 519, 4563, 15213, 11873, 281, 589, 7101, 673, 14891, 17496, 269, 30989, 10830, 267, 12135, 281, 2160, 540, 3345, 10491, 4964, 267, 476, 1220, 274, 269, 2290, 540, 519, 1082, 13085, 7580, 17024, 543, 1514, 5126, 25696, 540, 519, 476, 736, 628, 2540, 267, 11875, 320, 22823, 729, 849, 3844, 547, 1082, 540, 519, 18454, 540, 519, 2413, 6406, 7126, 11873, 267, 1519, 607, 513, 2361, 8689, 540, 519, 19364, 3722, 303, 267, 607, 519, 1101, 10324, 8689, 540, 519, 8828, 4168, 15557, 10985, 267, 543, 607, 519, 968, 326, 617, 15948, 892, 540, 519, 9906, 6348, 24825, 550, 18509, 3215, 9730, 563, 21946, 14137, 267, 32632, 681, 269, 24306, 540, 10456, 281, 12267, 540, 5029, 1944, 538, 18877, 540, 7822, 269, 5842, 12770, 281, 932, 30972, 4964, 10022, 32434, 657, 8124, 30464, 267, 476, 1220, 274, 269, 901, 1433, 6054, 930, 540, 519, 1514, 543, 7292, 5126, 9620, 540, 1977, 12075, 267, 7489, 7414, 6816, 619, 267, 21337, 270, 553, 267, 543, 3979, 4892, 538, 519, 2136, 2276, 267, 6580, 547, 1354, 519, 476, 866, 628, 2540, 563, 22826, 585, 7827, 543, 681, 996, 9722, 12140, 269, 2098, 4883, 4065, 5741, 269, 8871, 4925, 519, 946, 540, 20999, 2098, 4883, 779, 589, 4658, 779, 3778, 540, 519, 2136, 2276, 543, 824, 3119, 543, 6281, 2326, 547, 6338, 1053, 547, 513, 811, 4977, 267, 1950, 267, 543, 2502, 1620, 540, 2136, 2276, 1686, 602, 568, 1336, 538, 2757, 1686, 9499, 543, 21195, 269, 0, 5629, 519, 16167, 6707, 22983, 2342, 267, 713, 7142, 5125, 547, 31818, 811, 10136, 689, 519, 8109, 13571, 547, 519, 5375, 13571, 269, 19402, 713, 5949, 609, 20491, 3683, 331, 867, 267, 519, 28592, 17411, 519, 20015, 660, 540, 519, 4436, 2112, 4674, 269, 1358, 2604, 323, 519, 824, 16167, 547, 4323, 2342, 607, 4166, 607, 2009, 547, 8897, 741, 9271, 543, 3196, 4436, 547, 7941, 543, 14020, 922, 4229, 563, 30051, 729, 29011, 1117, 1063, 519, 28268, 543, 519, 7262, 16167, 563, 763, 28268, 729, 609, 519, 27469, 910, 789, 941, 1996, 519, 16586, 454, 763, 1292, 2475, 27469, 941, 519, 3703, 7276, 267, 519, 28268, 543, 3624, 563, 5475, 24918, 267, 5125, 729, 17204, 676, 519, 16167, 543, 5258, 269, 5101, 5125, 729, 2196, 676, 519, 28268, 630, 305, 1380, 2103, 1040, 12670, 267, 519, 3854, 267, 729, 4092, 538, 5101, 5125, 267, 855, 729, 6417, 676, 519, 28268, 543, 519, 7262, 16167, 269, 634, 12670, 3774, 729, 1628, 547, 1832, 519, 5101, 16586, 538, 8109, 12670, 689, 10024, 5375, 12670, 540, 5375, 5125, 563, 5472, 625, 1185, 547, 2011, 12740, 7727, 883, 4639, 12670, 1317, 519, 28268, 1185, 782, 9897, 3625, 12184, 269, 634, 9456, 851, 540, 519, 2749, 729, 896, 519, 1852, 540, 519, 28268, 267, 543, 519, 7262, 3148, 729, 896, 519, 1852, 540, 519, 16167, 269, 634, 28268, 12479, 602, 676, 9505, 1154, 1055, 782, 11507, 267, 519, 16167, 1131, 2490, 2698, 1852, 540, 12670, 936, 547, 873, 563, 763, 2475, 267, 28268, 267, 3624, 543, 519, 5131, 3943, 941, 519, 5177, 781, 2101, 16167, 563, 763, 1283, 2947, 16167, 538, 2622, 2782, 476, 273, 616, 519, 28268, 267, 7330, 267, 6628, 267, 4516, 543, 5245, 563, 20084, 267, 28268, 543, 5333, 454, 24433, 267, 5177, 267, 28268, 543, 5333, 454, 763, 5177, 634, 2475, 543, 519, 28268, 563, 14611, 16167, 540, 519, 2475, 941, 6628, 267, 5333, 267, 28268, 543, 3624, 563, 10303, 519, 5375, 27469, 263, 20084, 267, 24433, 267, 293, 8896, 264, 13026, 519, 5375, 3368, 540, 5125, 1247, 519, 28268, 13026, 519, 8109, 3368, 563, 4785, 267, 28268, 267, 5177, 267, 543, 5333, 454, 24433, 267, 28268, 267, 1299, 2826, 534, 454, 763, 5177, 267, 2475, 543, 519, 28268, 563, 7224, 267, 789, 941, 851, 540, 519, 16167, 4229, 454, 604, 596, 1611, 1158, 2112, 476, 273, 519, 721, 519, 5177, 606, 721, 338, 337, 1131, 581, 1806, 563, 24433, 267, 5177, 267, 543, 28268, 941, 27469, 269, 5125, 267, 7977, 543, 3567, 941, 31196, 14763, 563, 5472, 625, 910, 7330, 267, 5177, 28268, 543, 5333, 31196, 910, 5125, 267, 7977, 543, 3567, 454, 20084, 267, 28268, 267, 543, 5333, 454, 13433, 899, 28268, 267, 7330, 543, 3624, 454, 5445, 8678, 519, 16167, 950, 5125, 3323, 32415, 519, 28268, 630, 865, 341, 2884, 9769, 994, 763, 28268, 543, 519, 7330, 941, 16167, 693, 519, 942, 540, 13431, 273, 454, 4785, 17876, 729, 606, 24343, 609, 519, 7178, 267, 538, 1249, 13609, 22983, 519, 28268, 563, 4785, 17876, 267, 6628, 267, 5333, 543, 4516, 616, 519, 2462, 3283, 269, 1717, 267, 519, 7330, 941, 711, 519, 1292, 25881, 267, 789, 941, 519, 16167, 17259, 538, 269, 0, 7069, 3993, 3217, 1416, 540, 1250, 22516, 269, 2701, 779, 7255, 602, 646, 3207, 338, 811, 982, 476, 736, 3108, 513, 1554, 269, 2701, 568, 2111, 547, 1205, 1864, 909, 267, 10627, 1117, 267, 543, 883, 1010, 556, 743, 10719, 1142, 6640, 855, 646, 3592, 5612, 8813, 18069, 1586, 269, 1261, 18923, 22655, 267, 3085, 1406, 1616, 547, 2170, 609, 1200, 610, 4896, 3116, 945, 2501, 538, 547, 948, 267, 543, 3085, 1406, 1256, 4585, 8613, 15042, 269, 1215, 666, 649, 18663, 1864, 547, 3251, 25805, 543, 2170, 888, 2791, 798, 711, 2161, 875, 1279, 3516, 707, 22516, 729, 8995, 865, 621, 568, 2352, 547, 917, 1018, 3942, 540, 12110, 646, 568, 538, 269, 1403, 606, 1367, 568, 538, 519, 2663, 5933, 540, 12110, 543, 789, 723, 7930, 13175, 12008, 3476, 5712, 540, 942, 267, 621, 568, 1034, 2693, 1813, 547, 519, 11144, 540, 519, 2068, 563, 4263, 519, 2663, 3942, 540, 519, 2068, 267, 519, 3441, 547, 519, 1268, 779, 2634, 568, 3833, 3573, 4929, 873, 547, 1831, 21260, 543, 3833, 9808, 559, 269, 1548, 649, 1522, 2015, 5266, 2241, 4247, 267, 971, 607, 14379, 610, 4189, 267, 666, 581, 19039, 569, 9688, 532, 547, 519, 1268, 609, 12110, 563, 2252, 267, 2705, 267, 519, 1279, 5712, 540, 12008, 723, 3323, 10393, 267, 972, 949, 581, 1776, 2014, 971, 607, 606, 3968, 269, 2368, 6527, 666, 849, 3565, 547, 3207, 1465, 630, 656, 760, 2134, 18352, 267, 31520, 267, 4550, 7290, 26952, 1040, 12619, 532, 4713, 267, 971, 607, 3207, 19103, 630, 321, 805, 3107, 7965, 1070, 666, 849, 3565, 547, 3207, 2152, 269, 1684, 711, 19292, 547, 3346, 1010, 10629, 609, 1022, 540, 707, 4145, 563, 5278, 2010, 540, 12110, 666, 849, 1860, 3207, 3270, 269, 15706, 8995, 609, 12110, 609, 10197, 344, 4703, 723, 1360, 1964, 1652, 543, 22841, 17334, 269, 1358, 949, 1995, 10539, 267, 3781, 2742, 637, 267, 543, 26390, 5209, 269, 6184, 17410, 267, 3207, 19103, 543, 1964, 1652, 7953, 616, 849, 1455, 2589, 269, 589, 1268, 4299, 19576, 779, 2068, 949, 1419, 26968, 5944, 2048, 716, 685, 856, 741, 9909, 267, 3006, 4929, 5945, 547, 2933, 543, 5924, 741, 12008, 7649, 563, 1607, 666, 581, 9688, 532, 543, 1419, 3762, 519, 1268, 4743, 899, 789, 723, 711, 11739, 696, 693, 782, 269, 1280, 1312, 1346, 2713, 609, 10197, 344, 1560, 12110, 543, 19576, 779, 2068, 267, 9363, 25805, 1282, 519, 1554, 1310, 513, 4057, 3781, 779, 3207, 666, 581, 2352, 269, 1403, 2009, 267, 621, 568, 1655, 547, 2119, 547, 3970, 3207, 1282, 519, 1554, 547, 1507, 28377, 610, 2048, 13906, 333, 2355, 10200, 19227, 267, 519, 1268, 779, 1560, 9219, 666, 1831, 1360, 11821, 543, 713, 2306, 12008, 1134, 1282, 519, 3781, 1256, 9875, 563, 2690, 1200, 1378, 4708, 540, 2247, 267, 707, 3993, 1058, 3717, 609, 707, 22516, 779, 10629, 543, 2671, 1200, 4145, 563, 296, 1416, 585, 1250, 9393, 945, 814, 12216, 779, 2068, 269, 1772, 621, 1455, 585, 2043, 609, 12216, 779, 547, 723, 26390, 5209, 286, 1261, 8952, 6158, 827, 1453, 1373, 538, 519, 2777, 282, 938, 1453, 616, 782, 6738, 909, 543, 2661, 11992, 563, 295, 718, 1075, 5209, 616, 3989, 607, 7301, 11994, 540, 3615, 610, 2621, 5473, 519, 12823, 269, 2368, 2043, 2713, 609, 12216, 779, 2068, 543, 824, 632, 618, 5362, 949, 1294, 267, 5873, 267, 9329, 267, 610, 1745, 1945, 602, 568, 711, 972, 269, 1452, 7301, 11994, 616, 3361, 676, 2242, 1369, 519, 2634, 269, 2368, 26390, 5209, 949, 581, 31029, 547, 519, 1367, 267, 855, 1866, 666, 581, 2864, 8723, 22649, 540, 1004, 610, 3871, 563, 2252, 707, 9393, 568, 8806, 8049, 827, 519, 1453, 646, 12034, 267, 596, 1522, 15260, 675, 1864, 602, 968, 26132, 3993, 568, 593, 519, 1259, 547, 1205, 873, 1848, 1403, 646, 5526, 19225, 2989, 610, 989, 18469, 267, 2746, 9350, 569, 267, 543, 15260, 675, 1864, 602, 596, 616, 2469, 547, 2149, 1864, 269, 28528, 27012, 1010, 1394, 610, 588, 549, 6362, 1010, 3946, 949, 28570, 1010, 3007, 547, 596, 543, 2569, 519, 26390, 1588, 269, 1403, 646, 12134, 952, 596, 1294, 519, 1453, 267, 596, 666, 4431, 609, 968, 296, 917, 596, 1294, 873, 267, 855, 594, 666, 1406, 1848, 5213, 1406, 2995, 1864, 972, 568, 4986, 972, 282, 547, 1864, 267, 693, 602, 4090, 267, 789, 616, 1360, 1483, 269, 31158, 1578, 875, 621, 7959, 267, 2436, 621, 568, 14126, 267, 19225, 2989, 267, 610, 14220, 563, 8196, 19240, 282, 2303, 513, 3802, 610, 1847, 547, 1776, 4055, 282, 946, 2575, 610, 1776, 2534, 547, 31818, 1010, 3007, 269, 6744, 519, 1604, 282, 6846, 689, 8613, 1522, 581, 31495, 2181, 1540, 269, 12414, 593, 8279, 547, 2569, 20224, 282, 3382, 19141, 952, 707, 9393, 1100, 3476, 17767, 5128, 563, 29490, 1832, 1010, 10629, 8242, 593, 1022, 2242, 267, 1519, 26390, 5209, 267, 865, 602, 646, 24172, 666, 3313, 952, 6646, 568, 3617, 269, 0, 24841, 15018, 630, 10193, 4005, 532, 29421, 610, 3574, 4005, 532, 264, 6971, 519, 7509, 1543, 540, 3574, 1354, 922, 946 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27807, 20300, 3631, 666, 581, 1031, 547, 2708, 519, 1764, 540, 3609, 543, 2825, 3800, 998, 2804, 543, 2825, 10832, 269, 29760, 593, 6694, 1949, 267, 6705, 685, 3664, 538, 2474, 540, 5186, 6137, 1949, 543, 519, 2404, 7693, 2359, 693, 2361, 4336, 616, 1898, 538, 971, 2090, 269, 634, 6662, 540, 713, 1957, 568, 547, 1459, 513, 1353, 1210, 513, 6915, 20300, 2203, 547, 2708, 519, 1764, 540, 519, 21193, 3433, 6034, 633, 538, 519, 11068, 328, 6261, 344, 16867, 525, 3148, 630, 293, 8896, 264, 676, 7421, 267, 693, 519, 3484, 4336, 267, 3484, 4747, 543, 1614, 2825, 10832, 281, 24277, 30450, 267, 11761, 543, 1216, 4616, 269, 5565, 7653, 267, 519, 476, 1220, 274, 26480, 6963, 630, 21353, 5202, 9183, 264, 543, 519, 21193, 3433, 6034, 633, 630, 335, 32123, 9183, 1070, 609, 513, 476, 1001, 274, 942, 16880, 267, 941, 2919, 543, 3379, 585, 1614, 11347, 27442, 1076, 3484, 2010, 538, 519, 11068, 328, 6261, 344, 16867, 525, 3148, 269, 7756, 2010, 540, 1239, 1915, 1944, 519, 1979, 26491, 2796, 538, 519, 3148, 630, 31542, 267, 2916, 1070, 519, 1699, 5186, 6137, 1949, 630, 8527, 566, 267, 7693, 2359, 264, 543, 3484, 2200, 630, 597, 3419, 730, 2244, 267, 4074, 264, 941, 6394, 547, 26215, 622, 543, 2196, 519, 3631, 269, 11778, 4951, 602, 519, 6388, 540, 519, 21193, 3433, 6034, 633, 949, 711, 1860, 3484, 4747, 269, 1717, 267, 1713, 12381, 547, 5186, 6137, 1949, 543, 7693, 14305, 547, 3037, 2010, 941, 20533, 269, 2552, 9009, 547, 6788, 267, 9436, 30450, 693, 519, 3484, 4336, 1705, 711, 1689, 269, 15788, 1216, 4616, 2799, 543, 3037, 11761, 8519, 1813, 5631, 547, 513, 14842, 538, 5186, 6137, 3270, 543, 2359, 676, 3037, 1826, 269, 901, 1353, 2488, 606, 1383, 540, 796, 656, 4602, 730, 2360, 540, 3609, 543, 4123, 32187, 1063, 2825, 2152, 563, 268, 6694, 1949, 454, 14582, 17924, 322, 2867, 974, 267, 670, 1421, 7200, 327, 24734, 267, 918, 1421, 14562, 1180, 267, 744, 1421, 631, 712, 10620, 611, 537, 267, 594, 1421, 654, 2044, 267, 808, 1421, 8709, 898, 1562, 636, 267, 631, 269, 918, 1421, 1299, 4469, 747, 2006, 267, 717, 269, 630, 1001, 272, 1040, 30487, 519, 1764, 540, 519, 21193, 3433, 6034, 633, 593, 8105, 1949, 1210, 513, 6915, 20300, 20592, 5832, 269, 16581, 7010, 267, 476, 10441, 263, 273, 1070, 476, 13670, 268, 13970, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 698, 1910, 269, 1001, 271, 269, 6021, 269, 19740, 0, 7617, 27100, 12984, 21231, 595, 6817, 16423, 1090, 286, 2073, 634, 3693, 512, 32500, 729, 8385, 1572, 18896, 1090, 269, 570, 32500, 729, 8385, 4362, 543, 3957, 676, 16528, 10196, 8834, 654, 9567, 10623, 945, 9286, 519, 3209, 6219, 607, 18896, 1090, 924, 269, 1717, 267, 519, 3693, 729, 1336, 547, 723, 4756, 3601, 267, 799, 3366, 547, 922, 15646, 5446, 543, 8760, 607, 512, 32500, 538, 476, 9965, 274, 676, 5053, 3744, 20844, 8277, 543, 13056, 755, 334, 546, 685, 14976, 327, 8500, 541, 19403, 811, 19749, 360, 454, 1432, 1772, 16423, 1090, 4223, 11490, 320, 286, 2073, 16423, 1090, 4223, 11490, 320, 568, 16423, 1090, 781, 15713, 1587, 543, 568, 3301, 8246, 585, 2930, 7384, 267, 3621, 2792, 543, 2069, 269, 898, 814, 2919, 883, 606, 2228, 1062, 267, 4223, 11490, 320, 6732, 267, 799, 18252, 6531, 2029, 543, 568, 15095, 609, 1114, 18376, 1949, 543, 1357, 26292, 19403, 811, 19749, 360, 454, 297, 580, 10724, 347, 24836, 6143, 9484, 541, 1807, 347, 20112, 9484, 541, 1807, 30106, 514, 14409, 3267, 2073, 1280, 14241, 7777, 18175, 15665, 2030, 568, 4922, 1031, 538, 18689, 2747, 540, 5686, 540, 8407, 543, 1875, 31475, 1023, 269, 3776, 7777, 18175, 15665, 2371, 666, 581, 8904, 9668, 2030, 267, 4429, 310, 6504, 1090, 8081, 16797, 12226, 281, 1215, 798, 594, 22010, 1250, 16423, 1090, 3267, 2073, 2353, 18175, 10232, 540, 16423, 1090, 2472, 616, 2347, 19698, 543, 798, 711, 2154, 513, 3105, 4528, 547, 581, 8704, 269, 5455, 326, 15665, 707, 3301, 1152, 3340, 16459, 4429, 12895, 22670, 7626, 3021, 1807, 795, 580, 3101, 3684, 910, 737, 17383, 1030, 16988, 20580, 2073, 8605, 476, 1839, 910, 476, 2568, 3267, 795, 339, 4224, 4154, 9668, 22670, 7626, 795, 580, 3684, 269, 3267, 621, 781, 849, 3267, 22670, 18175, 15665, 267, 4401, 7626, 4393, 267, 512, 32500, 23622, 267, 18896, 1090, 4586, 19770, 808, 339, 275, 268, 273, 808, 580, 9484, 541, 1807, 10724, 267, 570, 656, 531, 636, 15281, 984, 1756, 14086, 3267, 2073, 3624, 808, 339, 275, 268, 273, 808, 580, 9484, 541, 1807, 10724, 267, 570, 656, 531, 636, 15281, 984, 1756, 14086, 16811, 3245, 808, 343, 2675, 267, 3267, 7494, 5355, 519, 18570, 4390, 543, 6051, 2557, 540, 3937, 563, 14737, 1968, 808, 580, 24517, 21116, 585, 20957, 14409, 1299, 9484, 9653, 267, 1215, 3267, 2073, 4119, 476, 1691, 267, 476, 1001, 279, 3267, 25115, 795, 12127, 616, 513, 1826, 540, 5599, 3937, 267, 849, 5219, 547, 607, 8904, 3492, 21116, 610, 795, 580, 3492, 21116, 267, 602, 616, 1031, 538, 4238, 547, 4429, 310, 6504, 1090, 8081, 16797, 12226, 281, 1215, 798, 594, 1847, 16423, 1090, 3301, 3267, 2073, 16423, 1090, 2472, 616, 2356, 13931, 547, 581, 8704, 593, 513, 1808, 3684, 1765, 332, 8221, 519, 3301, 547, 513, 1007, 2780, 3340, 606, 9337, 547, 707, 12689, 563, 268, 575, 10455, 2218, 8302, 3684, 3239, 454, 268, 8860, 3684, 585, 5614, 454, 268, 476, 1911, 271, 4846, 3440, 1984, 3684, 476, 276, 327, 335, 5179, 454, 268, 1655, 26740, 8047, 3440, 1984, 3684, 454, 268, 3694, 1835, 3518, 3684, 6455, 476, 790, 1633, 454, 268, 21247, 11493, 3684, 538, 5599, 15242, 454, 268, 28372, 17819, 11493, 3684, 454, 268, 1164, 3608, 4154, 7626, 989, 527, 1807, 7382, 11544, 3684, 454, 268, 3684, 8860, 15854, 1984, 836, 454, 268, 32291, 8302, 3684, 10672, 538, 15242, 454, 268, 6149, 8869, 1818, 3684, 538, 1147, 520, 454, 268, 1164, 4398, 9160, 4155, 17819, 3684, 454, 268, 9584, 5386, 12210, 10286, 1818, 3684, 585, 9042, 538, 554, 784, 737, 784, 454, 268, 890, 561, 8727, 1166, 574, 8860, 3684, 454, 268, 2025, 17819, 3684, 1788, 585, 9042, 454, 268, 3684, 543, 8302, 2030, 9042, 538, 28492, 454, 268, 3684, 6300, 585, 8860, 5641, 4401, 538, 1762, 560, 1144, 19315, 454, 268, 30885, 6149, 11493, 3684, 538, 9456, 1286, 11194, 454, 268, 9160, 10015, 908, 3684, 538, 610, 20811, 454, 268, 1164, 2298, 5595, 16945, 11493, 3684, 5755, 8302, 454, 268, 7138, 565, 3570, 8302, 476, 10219, 476, 5611, 512, 874, 3902, 538, 533, 2317, 454, 268, 513, 26894, 3440, 1984, 9584, 454, 268, 18689, 2747, 5547, 540, 22104, 924, 454, 268, 799, 621, 568, 513, 29404, 1591, 1984, 543, 8302, 2030, 454, 268, 737, 13083, 1092, 3575, 619, 543, 19854, 2030, 7650, 454, 268, 986, 2096, 1180, 7513, 4393, 3684, 454, 268, 3318, 4154, 5599, 3684, 609, 12051, 3902, 454, 268, 15409, 4224, 30450, 1184, 585, 9042, 454, 268, 737, 340, 3128, 8302, 3173, 540, 519, 544, 4115, 334, 620, 4141, 970, 2350, 454, 268, 8302, 6149, 30517, 454, 268, 8302, 9755, 538, 737, 27092, 454, 268, 7452, 19216, 585, 11493, 3515, 454, 268, 476, 2568, 476, 1789, 521, 1386, 8403, 10265, 8302, 454, 268, 946, 540, 24489, 18689, 2747, 538, 23825, 454, 268, 10265, 8302, 1292, 851, 540, 14680, 8302, 454, 268, 2706, 6149, 8302, 544, 26842, 454, 268, 14646, 13650, 4224, 8302, 3381, 454, 268, 1141, 1775, 666, 1265, 2034, 1688, 3440, 1984, 538, 19580, 454, 268, 5276, 19089, 5496, 10672, 642, 756, 549, 5496, 454, 268, 2848, 1188, 601, 1984, 1219, 937, 528, 5066, 1570, 5542, 0, 292, 2202, 30477, 6233, 2943, 2620, 839, 454, 17954, 343, 527, 814, 1831, 513, 4641, 538, 476, 1708, 271, 269, 1280, 519, 1101, 942, 267, 513, 16588, 3557, 814, 2451, 519, 3864, 5742, 630, 31323, 1040, 901, 568, 513, 2736, 538, 519, 7678, 540, 2022, 21351, 3864, 5610, 269, 1809, 621, 1281, 711, 1611, 519, 1439, 540, 5610, 269, 3864, 5610, 814, 1079, 7516, 281, 11097, 2287, 630, 328, 4318, 269, 3850, 811, 2477, 547, 6443, 519, 1184, 264, 543, 29947, 630, 328, 4318, 269, 22151, 811, 2841, 1878, 547, 519, 3864, 1377, 1040, 634, 6967, 16588, 2276, 786, 3136, 547, 1491, 3268, 547, 2417, 15052, 3864, 5610, 267, 585, 1383, 609, 519, 12032, 540, 519, 12948, 9769, 269, 1306, 538, 519, 2250, 267, 713, 29947, 786, 581, 513, 544, 3291, 1782, 998, 1184, 563, 2304, 26464, 1184, 7498, 5475, 519, 5822, 2622, 2782, 267, 3864, 5610, 729, 22885, 607, 606, 26464, 4720, 2509, 606, 968, 1197, 6251, 9769, 6100, 3414, 2804, 9316, 543, 5610, 267, 3864, 2477, 1131, 1831, 865, 22524, 8817, 602, 513, 2112, 1131, 581, 7543, 269, 20323, 267, 519, 9167, 630, 528, 2864, 922, 21530, 25600, 899, 519, 3864, 7991, 585, 13082, 543, 15021, 543, 3864, 9483, 7991, 264, 729, 606, 6293, 547, 16102, 4708, 998, 2804, 9316, 269, 9483, 5610, 1131, 6038, 1291, 547, 2797, 5610, 563, 763, 4155, 547, 519, 968, 1197, 6251, 9769, 892, 814, 2141, 1044, 1360, 536, 17056, 269, 634, 3460, 2509, 513, 1455, 2344, 568, 711, 513, 16190, 7552, 1524, 513, 5179, 3118, 269, 13298, 267, 621, 568, 513, 6024, 18711, 1063, 519, 8851, 540, 7496, 543, 519, 4367, 540, 1007, 3283, 269, 476, 1789, 1296, 543, 1896, 9304, 16839, 9674, 519, 3355, 4566, 547, 6338, 513, 2582, 9304, 543, 519, 10131, 540, 519, 20789, 267, 585, 1383, 269, 1809, 519, 5610, 3646, 723, 2141, 7173, 9229, 538, 519, 1439, 563, 763, 2101, 23822, 618, 540, 519, 9167, 538, 476, 1220, 275, 547, 519, 5101, 6659, 22027, 827, 519, 20440, 540, 606, 968, 1197, 6251, 9769, 6100, 634, 15521, 540, 28988, 2548, 630, 1220, 278, 1070, 606, 9337, 540, 519, 2596, 21308, 593, 5610, 267, 5189, 519, 7872, 585, 513, 16588, 3557, 547, 4734, 519, 9167, 269, 4438, 519, 20789, 6433, 267, 3592, 476, 1015, 1296, 3516, 1631, 267, 519, 6668, 540, 519, 20789, 729, 513, 546, 830, 593, 922, 2427, 269, 10255, 729, 593, 519, 7450, 21163, 540, 606, 14827, 543, 602, 14944, 1441, 2883, 6990, 685, 6015, 538, 519, 4797, 6228, 540, 519, 20789, 269, 1717, 267, 519, 546, 830, 6368, 5828, 547, 519, 5610, 2427, 609, 519, 10661, 540, 519, 12948, 9769, 269, 634, 9167, 779, 2797, 3401, 22283, 538, 547, 4688, 5610, 3646, 543, 2620, 2989, 519, 9769, 563, 1862, 7140, 19037, 454, 9213, 267, 6601, 343, 527, 18327, 602, 9167, 5610, 568, 538, 1249, 31181, 269, 1403, 513, 1007, 16650, 6433, 941, 547, 10836, 538, 519, 9167, 2221, 267, 621, 4667, 1447, 1978, 602, 519, 546, 830, 1131, 2899, 1586, 28550, 547, 519, 5610, 2427, 269, 898, 568, 3020, 602, 693, 713, 4090, 972, 616, 1100, 2477, 602, 1616, 547, 1246, 519, 3703, 269, 769, 713, 2463, 267, 3864, 5610, 568, 538, 513, 1732, 3337, 982, 1223, 723, 1044, 21787, 693, 519, 1376, 540, 519, 6601, 343, 527, 521, 15676, 269, 1717, 267, 17069, 626, 6105, 267, 1419, 609, 16402, 2275, 15560, 610, 1524, 2431, 4550, 7232, 308, 7158, 267, 616, 2324, 547, 2569, 519, 3375, 6194, 1379, 540, 519, 2797, 4229, 602, 9718, 3864, 5610, 269, 634, 2797, 26610, 538, 5125, 543, 519, 3348, 13895, 8560, 540, 519, 3943, 5518, 2061, 519, 2757, 11573, 540, 519, 30473, 8566, 9007, 7852, 689, 3257, 922, 2816, 3823, 5610, 269, 769, 930, 2477, 267, 2596, 3741, 540, 519, 9167, 616, 1256, 896, 2604, 267, 971, 607, 9111, 267, 5191, 543, 519, 4341, 540, 1876, 563, 4263, 519, 1482, 942, 267, 2705, 267, 972, 616, 4191, 602, 513, 1978, 2631, 540, 23473, 585, 513, 2417, 29947, 540, 519, 9167, 568, 3395, 269, 1280, 1383, 267, 538, 2038, 5437, 476, 1001, 280, 267, 519, 4436, 10579, 540, 16010, 1572, 585, 519, 7521, 593, 513, 9758, 3864, 16005, 10018, 547, 581, 796, 4565, 18088, 267, 543, 10566, 289, 8387, 723, 14578, 1572, 585, 513, 811, 3742, 16642, 3609, 269, 634, 3943, 2990, 538, 519, 7521, 593, 23822, 618, 547, 519, 26811, 753, 3947, 2417, 29947, 540, 519, 9167, 513, 2312, 10862, 936, 23822, 618, 269, 2201, 519, 824, 1688, 267, 519, 3232, 2797, 16786, 2982, 602, 6405, 3356, 538, 29947, 3788, 513, 544, 3291, 1782, 998, 1184, 269, 589, 1297, 540, 2629, 2152, 786, 723, 547, 581, 4956, 538, 476, 1708, 271, 267, 971, 607, 519, 12032, 540, 519, 12948, 9769, 543, 519, 10073, 540 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 799, 10731, 1426, 609, 513, 2603, 540, 9600, 543, 11950, 267, 3834, 11946, 807, 267, 513, 18670, 540, 519, 6171, 3666, 267, 7296, 267, 6704, 4568, 798, 711, 3565, 547, 519, 6604, 540, 519, 2068, 563, 763, 19183, 540, 19473, 29912, 4096, 593, 519, 4110, 540, 32560, 540, 519, 4299, 6077, 543, 922, 4087, 263, 513, 677, 320, 267, 19548, 8043, 267, 8043, 540, 519, 14159, 13570, 1916, 21675, 540, 19473, 29912, 609, 12563, 14319, 454, 21675, 540, 19473, 29912, 568, 1367, 543, 5161, 540, 7840, 593, 519, 7154, 540, 960, 263, 2057, 6846, 1070, 3742, 2168, 1964, 267, 2732, 267, 20239, 8839, 563, 1103, 519, 2126, 540, 19473, 29912, 543, 3556, 3930, 16235, 267, 21823, 616, 4922, 1031, 281, 22153, 2220, 710, 267, 3597, 540, 27442, 267, 2840, 577, 3762, 267, 23629, 16279, 267, 17761, 628, 1941, 267, 5134, 548, 1729, 324, 267, 3043, 22623, 11241, 267, 3355, 4484, 267, 546, 650, 267, 5569, 267, 13342, 267, 9782, 267, 9106, 558, 850, 267, 3993, 342, 677, 267, 30485, 6079, 267, 804, 1478, 803, 20760, 267, 11993, 2545, 332, 267, 890, 653, 1069, 842, 267, 30300, 3121, 267, 12450, 9440, 3762, 267, 1130, 518, 1014, 6815, 1400, 529, 267, 11849, 9440, 267, 4104, 1579, 1111, 267, 7626, 1146, 334, 267, 546, 28888, 542, 267, 3092, 563, 4415, 19473, 29912, 609, 3339, 27555, 2604, 1547, 8117, 609, 20286, 540, 6846, 538, 519, 10772, 267, 13350, 21994, 267, 1964, 1652, 3207, 267, 621, 568, 5227, 602, 476, 736, 10101, 540, 804, 1478, 2212, 803, 20760, 1927, 609, 519, 3284, 673, 3762, 6394, 693, 519, 4098, 540, 15496, 267, 13248, 476, 6110, 16720, 540, 14495, 1216, 267, 31274, 538, 513, 5687, 657, 267, 1491, 835, 3791, 476, 273, 268, 274, 2053, 513, 1554, 1354, 6980, 274, 3275, 269, 2991, 476, 277, 3275, 267, 10956, 519, 1576, 563, 268, 12465, 4915, 540, 5617, 22654, 15565, 1210, 513, 1232, 334, 794, 540, 10786, 21431, 6371, 585, 27621, 2787, 269, 1677, 798, 713, 267, 476, 273, 512, 4944, 11922, 13248, 476, 4968, 16720, 540, 14495, 1216, 267, 31274, 476, 273, 3108, 267, 8833, 543, 1491, 476, 272, 512, 26138, 4732, 335, 3019, 476, 274, 2053, 513, 1554, 269, 634, 2030, 568, 20715, 267, 865, 2564, 1852, 568, 14909, 269, 2060, 1582, 2389, 13015, 910, 513, 1576, 540, 476, 1015, 268, 1321, 2395, 563, 268, 6519, 2840, 577, 6978, 267, 32498, 23629, 16279, 5810, 267, 853, 269, 3627, 781, 530, 677, 8559, 267, 6978, 540, 8459, 7401, 267, 6371, 540, 2468, 4820, 924, 910, 476, 272, 851, 267, 5810, 543, 1762, 3762, 540, 17761, 628, 1941, 910, 476, 275, 2694, 267, 6371, 540, 20511, 2361, 910, 476, 274, 2694, 269, 275, 512, 26138, 4732, 335, 3019, 4015, 13248, 476, 272, 2148, 540, 14495, 1216, 267, 31274, 538, 513, 20177, 8708, 476, 273, 3108, 267, 1491, 513, 3791, 7484, 476, 274, 2053, 3232, 1354, 6980, 269, 634, 1576, 540, 2126, 568, 476, 272, 3923, 563, 268, 853, 3863, 11241, 267, 20511, 267, 546, 650, 267, 554, 832, 564, 841, 2361, 267, 1491, 476, 272, 851, 267, 546, 28888, 542, 267, 3993, 342, 677, 267, 27041, 267, 2915, 268, 13427, 910, 476, 274, 2694, 1142, 269, 275, 512, 26138, 4732, 335, 3019, 4015, 13248, 476, 272, 2148, 540, 14495, 1216, 267, 31274, 538, 513, 20177, 8708, 476, 273, 3108, 267, 8833, 543, 1491, 513, 3791, 7484, 476, 274, 2053, 3232, 1354, 6980, 585, 513, 3923, 563, 268, 5871, 544, 784, 7758, 910, 476, 274, 2694, 267, 6653, 804, 1478, 267, 30485, 6079, 267, 24036, 536, 686, 541, 910, 476, 273, 2694, 267, 853, 269, 3627, 781, 530, 677, 267, 1455, 7823, 11849, 267, 3762, 540, 3552, 12450, 9440, 267, 6132, 528, 823, 21736, 910, 476, 272, 851, 1142, 269, 275, 512, 26138, 4732, 335, 3019, 4015, 13248, 476, 272, 2148, 540, 14495, 1216, 267, 31274, 538, 513, 20177, 8708, 476, 273, 3108, 267, 8833, 543, 1491, 513, 3791, 7484, 476, 274, 2053, 3232, 1354, 6980, 585, 513, 3923, 563, 268, 769, 12563, 4915, 267, 11993, 2545, 332, 568, 1634, 607, 513, 25695, 267, 1884, 6625, 341, 6160, 656, 267, 1387, 2471, 545, 543, 13487, 16185, 269, 1879, 5283, 20811, 568, 11311, 538, 2550, 609, 3556, 3930, 16235, 267, 1928, 267, 7988, 335, 12795, 543, 27621, 2787, 14897, 267, 519, 13942, 3587, 811, 4686, 267, 1973, 2604, 1281, 711, 979, 1524, 269, 5606, 4288, 540, 11993, 2545, 332, 3762, 263, 476, 275, 575, 540, 3762, 829, 476, 1220, 16720, 540, 14495, 1216, 264, 568, 3144, 693, 476, 272, 268, 273, 588, 4732, 335, 3019, 476, 274, 2053, 513, 1554, 563, 268, 634, 9836, 946, 540, 6328, 601, 22756, 263, 6328, 601, 18133, 264, 11151, 519, 1646, 540, 19473, 29912, 563, 268, 1280, 519, 2126, 540, 13119, 538, 519, 4282, 540, 19473, 29912, 621, 568, 5227, 547, 946, 9267, 22756, 609, 9932, 585, 476, 3393, 2395, 585, 476, 1911, 575, 829, 21200, 267, 4358, 609, 1614, 4773, 829, 1554, 269, 2552, 571, 785, 10716, 950, 1210, 9267, 22756, 585, 1426, 616, 5312, 897, 4345, 267, 4283, 4377, 4345, 543, 22166, 547, 10808, 563, 289, 3089, 342, 17742, 568, 3730, 910, 3762, 267, 5810, 543, 5452, 269, 27817, 543, 5810, 1786, 342, 899, 7401, 543, 4235, 3368, 513, 4837, 476, 273, 2053, 513, 1554, 1354, 6980, 269, 1677, 3548, 11369, 342, 17742, 11188, 16466, 563, 291, 2905, 946, 540, 13342, 910, 476, 273, 268, 274, 4522, 609, 1426, 267, 476, 272, 268, 273, 13212, 267, 1781, 651, 9440, 936, 3368, 513, 7484, 540, 15708, 513, 1554, 267, 476, 1911, 575, 540, 32119, 10381, 267, 476, 272, 268, 273, 19790, 976, 609, 12933, 543, 476, 272, 10538, 563, 268, 634, 2783, 540, 519, 8043, 609, 19473, 29912, 10607, 546, 650, 269, 6875, 476, 272, 512, 26138, 269, 1975, 3019, 519, 12015, 546, 650, 476, 271, 269, 276, 20990, 540, 14495, 1216, 269, 5606, 2224, 476, 272, 5662, 269, 27276, 3368, 513, 4837, 476, 274, 2053, 513, 1554, 585, 476, 1789, 3764, 1354, 4189, 563, 268, 6875, 476, 274, 512, 26138, 4732, 335, 9398, 540, 546, 650, 5452, 267, 476, 274, 512, 26138, 4732, 335, 3019, 519, 16760, 3597, 540, 1130, 518, 1014, 585, 476, 272, 2148, 540, 14495, 1216, 267, 3142, 547, 513, 14974, 267, 5594, 669, 3739, 267, 1039, 547, 30376, 476, 274, 512, 26138, 4732, 335, 9398, 540, 9932, 267, 16833, 543, 4734, 585, 519, 3781, 269, 853, 1778, 543, 4235, 476, 274, 512, 26138, 4732, 335, 3019, 476, 274, 2053, 513, 1554, 585, 476, 1789, 3764, 1354, 4189, 585, 476, 273, 4374, 269, 2991, 513, 2736, 540, 476, 1015, 2395, 267, 10956, 519, 1576, 540, 2126, 563, 268, 11545, 1491, 519, 10433, 540, 6151, 12277, 267, 585, 799, 596, 991, 547, 11547, 5420, 13355, 12277, 267, 1510, 7738, 267, 6299, 593, 513, 1507, 1989, 831, 267, 25837, 10433, 998, 12238, 2763, 543, 4235, 269, 590, 16235, 786, 973, 27827, 267, 855, 713, 2126, 3217, 942, 563, 4415, 19473, 29912, 267, 23017, 15837, 22729, 568, 2500, 269, 6875, 519, 7738, 689, 476, 275, 8685, 619, 540, 12277, 267, 14974, 538, 476, 271, 269, 276, 20990, 540, 1216, 269, 853, 1778, 543, 1491, 3368, 513, 7484, 476, 736, 3764, 1354, 6980, 476, 274, 2053, 513, 1554, 563, 2252, 3965, 14016, 919, 267, 596, 666, 946, 713, 11600, 281, 476, 273, 512, 26138, 269, 1975, 3019, 519, 28113, 20836, 538, 513, 5779, 32291, 267, 13248, 476, 272, 4837, 540, 642, 617, 6390, 267, 31274, 538, 513, 4158, 1747, 585, 476, 273, 4374, 269, 853, 1778, 543, 1491, 476, 736, 268, 1789, 12772, 476, 273, 2053, 513, 1554, 1354, 6980, 563, 17315, 823, 689, 22623, 9440, 15708, 10607, 519, 2783, 540, 8043, 267, 8992, 759, 26975, 540, 521, 13406, 5328, 29693, 13196, 563, 305, 1177, 5388, 1354, 6980, 616, 3730, 711, 1152, 1317, 540, 741, 1164, 1543, 540, 8324, 543, 10250, 2609, 267, 855, 849, 1317, 789, 4196, 607, 513, 2067, 3170, 6633, 518, 267, 799, 568, 2523, 1271, 585, 19473, 29912, 563, 23682, 4723, 3797, 585, 19473, 29912, 454, 2026, 519, 10172, 1184, 5170, 267, 607, 1134, 607, 538, 930, 3676, 267, 519, 5135, 25294, 540, 519, 1973, 543, 519, 5135, 4616, 540, 1560, 8031, 6175, 269, 769, 891, 2665, 267, 621, 568, 2009, 547, 948, 513, 1268, 11177, 5135, 25294, 540, 519, 1560, 269, 1677, 2333, 519, 1377, 540, 946, 540, 5135, 538, 2489, 267, 8324, 543, 2890, 324, 6123, 616, 5227, 602, 3895, 519, 6454, 540, 10408, 10307, 543, 12622, 1863, 18119, 263, 6878, 602, 3441, 10408, 3889, 1040, 5445, 616, 8324, 595, 267, 661, 543, 645, 272, 267, 13101, 269, 1358, 666, 581, 538, 519, 1106, 540, 5094, 21339, 610, 2472, 267, 607, 1454, 607, 2009, 5627, 873, 269, 634, 2707, 540, 6171, 595, 267, 585, 1383, 267, 666, 4196, 607, 3109, 1225, 7949, 267, 22648, 267, 5613, 540, 642, 756, 1248, 636, 267, 22623, 9440, 267, 10800, 9440, 563, 763, 2034, 1271, 1448, 540, 5135, 3797, 568, 519, 14242, 540, 15672, 10009, 676, 2168, 3635, 269, 634, 27590, 10415, 568, 3730, 538, 513, 8880, 2990, 269, 634, 1034, 2241, 910, 1169, 1554, 1310, 31135, 267, 14084, 593, 707, 1394, 267, 21199, 3946, 543, 3952, 585, 476, 273, 268, 274, 3764, 269, 645, 5390, 2193, 23908, 10309, 543, 17804, 1216, 5773, 616, 849, 3730, 563, 23612, 910, 5135, 23254, 725, 543, 15483, 339, 5661, 267, 607, 1134, 607, 6972, 538, 519, 4195, 2011, 563, 21675, 540, 6147, 15842, 341, 6018, 19473, 29912, 454, 4415, 6147, 15842, 341, 6018, 19548, 26379, 2073, 12563, 4915, 15565, 519, 1739, 14319, 563, 268, 6875, 476, 1220, 575, 540, 11849, 9440, 13626, 267, 14974, 621, 538, 476, 271, 269, 276, 561, 540, 1216, 585, 476, 273, 3108, 593, 1970, 3002, 269, 15346, 543, 1491, 476, 274, 512, 26138, 4732, 335, 9398, 1354, 6980, 476, 274, 2053, 513, 1554, 269, 6092, 585, 476, 272, 3923, 476, 274, 2053, 513, 1032, 563, 268, 18610, 10433, 689, 519, 3762, 540, 2030, 664, 1804, 6404, 609, 519, 10433, 689, 519, 3762, 540, 513, 11344, 1590, 5995, 263, 476, 736, 269, 476, 272, 1070, 1039, 9932, 476, 272, 269, 476, 272, 263, 3448, 547, 519, 2898, 7848, 1070, 3142, 547, 513, 14974, 538, 513, 1216, 8602, 269, 6875, 476, 273, 26486, 267, 476, 272, 942, 513, 1554, 1310, 6980, 269, 15188, 538, 513, 1134, 20177, 8708, 538, 513, 3579, 4158, 1747, 563, 21675, 540, 19548, 838, 553, 916, 454, 2691, 838, 553, 916, 540, 519, 2634, 8043, 616, 3730, 971, 12563, 16185, 912, 268, 6875, 476, 272, 23188, 540, 10786, 16815, 1889, 6394, 1282, 15496, 267, 1786, 342, 538, 476, 271, 269, 276, 20990, 540, 14495, 1216, 267, 31274, 476, 2412, 3764, 267, 17401, 6806, 267, 1317, 519, 19979, 552, 1492, 549, 559, 267, 8833, 267, 1039, 476, 276, 12772, 540, 28448, 17065, 7458, 11344, 1590, 5995, 10433, 547, 513, 4837, 540, 16815, 1889, 30376, 269, 901, 568, 513, 2178, 16185, 267, 4061, 621, 568, 5227, 547, 946, 621, 1100, 811, 982, 476, 273, 268, 274, 2053, 513, 3018, 585, 476, 274, 268, 275, 3275, 563, 309, 1068, 15282, 538, 19473, 29912, 454, 309, 1068, 15282, 538, 19473, 29912, 666, 581, 4389, 1210, 519, 1739, 11600, 563, 268, 6875, 15823, 1922, 604, 1399, 5613, 543, 5810, 540, 17761, 628, 1941, 267, 14299, 269, 274, 512, 26138, 4732, 335, 3019, 4015, 1786, 342, 476, 274, 11680, 540, 14495, 1216, 267, 31274, 538, 513, 3636, 1747, 585, 476, 273, 3108, 267, 8963, 269, 5606, 4288, 1491, 476, 272, 4837, 476, 274, 2053, 513, 1554, 585, 476, 1789, 3764, 1354, 6980, 610, 606, 5662, 1310, 6980, 269, 769, 1142, 7674, 1354, 2921, 476, 274, 12772, 540, 28448, 17065, 7458, 10433, 689, 519, 3762, 540, 513, 11344, 1590, 5995, 563, 21675, 540, 2212, 6846, 538, 19473, 29912, 454, 2691, 6846, 538, 519, 2212, 540, 2073, 7401, 689, 804, 1478, 543, 737, 760, 516, 5984, 786, 948, 269, 898, 568, 2556, 547, 1491, 8449, 519, 27536, 9843, 540, 519, 804, 1478, 267, 519, 3762, 540, 519, 10936, 267, 14299, 267, 1786, 342, 543, 4235, 899, 7401, 476, 272, 4837, 476, 273, 2053, 513, 1554, 585, 513, 1279, 942, 269, 634, 4235, 568, 16990, 547, 519, 6492, 543, 849, 10607, 3207, 269, 3371, 616, 930, 811, 12563, 10346, 609, 6846, 538, 519, 2212, 10778, 268, 634, 2212, 540, 5420, 13355, 13342, 568, 22019, 539, 267, 16760, 883, 27615, 601, 269, 674, 1245, 538, 513 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 936, 5564, 28745, 543, 29435, 532, 8454, 269, 1284, 786, 581, 3001, 5196, 476, 273, 8820, 5546, 1985, 2336, 12892, 5525, 1700, 3767, 602, 649, 723, 8737, 13431, 296, 267, 938, 1445, 568, 5196, 1272, 538, 3013, 1282, 519, 10162, 2130, 476, 736, 338, 543, 634, 4279, 12870, 269, 962, 16518, 1053, 3323, 938, 2048, 27398, 3883, 685, 1788, 267, 799, 596, 1058, 723, 4607, 519, 8846, 2985, 585, 689, 707, 1126, 269, 634, 8846, 2985, 3340, 707, 15040, 267, 865, 952, 596, 1705, 711, 1294, 621, 2063, 3781, 5225, 2307, 707, 1126, 585, 621, 865, 789, 666, 1205, 707, 15040, 543, 1865, 621, 609, 596, 269, 634, 8642, 28013, 585, 713, 1788, 568, 1813, 1985, 11016, 267, 519, 476, 273, 526, 269, 634, 3803, 1788, 568, 1813, 13628, 267, 5988, 476, 1428, 628, 269, 1284, 786, 723, 513, 13431, 296, 543, 476, 4572, 271, 338, 1449, 1985, 13638, 269, 4841, 616, 547, 9096, 519, 22994, 344, 7665, 4245, 593, 891, 1079, 3584, 1354, 519, 1449, 563, 14483, 715, 4774, 14581, 25849, 906, 912, 268, 736, 3764, 593, 22994, 344, 7665, 538, 2901, 5678, 267, 18500, 267, 610, 7335, 22252, 1049, 630, 15884, 581, 6592, 538, 741, 16786, 1018, 519, 12353, 7084, 568, 1040, 901, 3018, 741, 1445, 568, 5678, 563, 5336, 987, 9454, 531, 269, 594, 849, 5000, 873, 547, 6108, 942, 593, 22994, 344, 7665, 4569, 3781, 569, 270, 553, 1419, 607, 2009, 563, 5025, 6195, 5741, 281, 4014, 649, 616, 2324, 593, 621, 693, 1153, 267, 621, 568, 2469, 547, 2154, 741, 3007, 693, 1753, 607, 1134, 269, 1358, 666, 960, 593, 621, 607, 789, 2347, 519, 476, 4572, 271, 338, 543, 4279, 12870, 4245, 593, 22994, 344, 7665, 267, 543, 594, 723, 849, 2322, 1382, 2200, 896, 519, 9399, 9184, 547, 3391, 873, 538, 741, 1382, 585, 519, 1788, 563, 268, 5649, 476, 736, 266, 3764, 585, 12257, 454, 265, 12041, 779, 21281, 1107, 901, 11016, 267, 519, 476, 2918, 628, 269, 7490, 6443, 519, 476, 276, 628, 3446, 20471, 1063, 476, 279, 281, 1789, 268, 280, 281, 3393, 267, 538, 938, 13460, 267, 547, 6432, 547, 519, 1053, 1224, 741, 8748, 1603, 547, 2818, 540, 938, 2146, 269, 901, 786, 581, 513, 1187, 4272, 2218, 2680, 547, 11760, 875, 2182, 938, 3214, 960, 538, 1603, 256, 1284, 786, 849, 581, 14120, 476, 1911, 628, 1554, 540, 1153, 607, 513, 3446, 1377, 713, 1554, 269, 4841, 616, 9415, 547, 10571, 476, 1911, 1296, 2025, 267, 538, 11812, 540, 713, 24182, 538, 519, 1153, 1032, 2336, 265, 276, 628, 6103, 22391, 8058, 17926, 16514, 281, 7490, 4757, 513, 4605, 540, 707, 3903, 547, 1496, 16942, 6870, 316, 676, 11016, 267, 5988, 476, 273, 526, 269, 901, 4605, 786, 581, 1031, 1282, 835, 540, 938, 3078, 1439, 540, 519, 1032, 476, 276, 628, 3446, 2621, 1107, 519, 476, 276, 628, 6103, 6215, 1938, 6011, 267, 799, 786, 10268, 693, 519, 25021, 5455, 24583, 3000, 344, 543, 581, 513, 8952, 820, 585, 707, 1126, 779, 476, 276, 628, 3446, 1032, 269, 634, 1641, 1899, 1058, 581, 707, 1126, 779, 2012, 543, 8682, 269, 901, 568, 10691, 519, 1482, 3364, 607, 11449, 513, 5556, 7806, 17419, 5729, 1504, 1520, 585, 707, 1126, 267, 855, 596, 616, 811, 982, 10950, 547, 946, 519, 1482, 4605, 563, 265, 276, 628, 6103, 5556, 7806, 17419, 5729, 1504, 1520, 1107, 16458, 1467, 547, 1931, 568, 5988, 476, 1626, 628, 269, 3371, 568, 519, 3095, 585, 811, 1344, 593, 713, 281, 4179, 2517, 332, 20667, 1613, 24473, 6230, 20047, 6062, 696, 944, 18145, 2593, 9706, 871, 564, 270, 20862, 277, 866, 276, 454, 265, 303, 21332, 707, 1126, 779, 1032, 1504, 676, 476, 273, 270, 1626, 585, 513, 31680, 3902, 256, 1280, 811, 1344, 267, 543, 547, 1931, 267, 1246, 713, 3095, 281, 4179, 2517, 332, 20667, 1613, 24473, 6230, 20047, 6062, 696, 944, 18145, 2593, 10774, 727, 454, 265, 305, 1442, 26267, 18983, 2153, 6215, 760, 1107, 1813, 676, 5988, 476, 280, 628, 269, 1403, 596, 616, 5461, 538, 669, 1653, 11238, 267, 855, 723, 711, 2366, 1394, 519, 1106, 267, 5225, 798, 865, 6789, 4338, 865, 602, 649, 666, 2721, 547, 3313, 945, 519, 18822, 2385, 786, 581, 547, 13173, 721, 593, 519, 7552, 2336, 265, 8245, 12121, 9906, 12875, 270, 29547, 476, 277, 628, 6103, 9977, 13957, 1107, 4841, 11504, 3244, 12121, 786, 1491, 513, 2361, 7552, 4663, 540, 519, 1153, 593, 4924, 269, 476, 277, 628, 1282, 519, 1153, 1554, 267, 543, 602, 10543, 568, 9977, 13957, 585, 29547, 476, 277, 628, 3446, 2875, 779, 3237, 689, 476, 277, 268, 278, 10681, 563, 265, 21938, 476, 280, 628, 1107, 631, 12717, 15604, 19933, 269, 2776, 1790, 3420, 2084, 17914, 568, 2838, 267, 1246, 713, 3095, 547, 798, 865, 281, 4179, 2517, 332, 20667, 1613, 24473, 6230, 20047, 6062, 696, 944, 18145, 2593, 9706, 871, 564, 270, 20862, 277, 866, 274, 0, 307, 340, 30835, 3173, 5063, 4080, 602, 1247, 519, 3056, 2707, 540, 8477, 538, 519, 3328, 1977, 2732, 1031, 547, 581, 689, 3043, 3694, 267, 602, 949, 723, 4957, 269, 3767, 267, 2687, 547, 16861, 1382, 5342, 676, 3744, 693, 519, 14639, 2904, 518, 22340, 5274, 12594, 3194, 4741, 593, 28544, 693, 16515, 30835, 2160, 267, 4892, 616, 6704, 891, 8477, 3079, 269, 634, 1382, 729, 4843, 538, 7493, 1106, 693, 519, 21885, 10334, 10985, 538, 4989, 540, 713, 1032, 543, 513, 811, 3102, 1957, 568, 1373, 2919, 563, 302, 323, 23158, 645, 1069, 8775, 345, 267, 12854, 267, 12463, 295, 267, 6594, 519, 4080, 11326, 540, 513, 1804, 18487, 3732, 540, 1977, 4079, 269, 7324, 17013, 547, 519, 476, 1960, 280, 268, 1220, 271, 2817, 2657, 543, 12594, 22410, 11752, 630, 26822, 3198, 2464, 1070, 811, 982, 1079, 555, 8674, 4080, 6704, 2614, 14614, 543, 5924, 6653, 10425, 547, 1683, 873, 609, 513, 3152, 8167, 540, 3232, 8477, 982, 1022, 824, 1426, 269, 769, 1840, 267, 8377, 3928, 941, 2362, 1851, 891, 6653, 4235, 6800, 269, 3117, 28366, 540, 476, 1911, 260, 10538, 10433, 543, 1970, 3170, 5144, 267, 593, 519, 824, 1688, 267, 22157, 547, 581, 1447, 14968, 267, 593, 3328, 563, 289, 1069, 8775, 345, 267, 945, 568, 849, 606, 13930, 7548, 693, 16515, 30835, 2160, 338, 17054, 2006, 3427, 540, 12594, 3163, 543, 8889, 267, 568, 29014, 602, 267, 834, 2421, 4543, 547, 2697, 519, 1292, 2959, 540, 4430, 1648, 538, 519, 1977, 2732, 267, 713, 960, 949, 3565, 547, 519, 1646, 540, 1454, 32571, 2994, 547, 8396, 8377, 538, 519, 1977, 1857, 4799, 303, 1122, 4445, 15917, 525, 1923, 31823, 2336, 262, 29670, 6512, 1137, 9166, 715, 19851, 631, 3041, 3041, 3744, 1020, 1979, 24899, 6312, 1043, 4550, 1532, 1248, 6289, 1993, 756, 619, 454, 1626, 269, 6349, 269, 1001, 279, 1923, 2817, 2160, 540, 3163, 543, 5303, 631, 3041, 3041, 454, 6124, 1184, 2636, 20688, 13402, 13663, 1382, 454, 1626, 269, 6349, 269, 1001, 279, 1923, 661, 828, 14551, 10127, 3149, 10713, 28059, 570, 6686, 6883, 523, 454, 2690, 519, 1101, 942, 267, 513, 2319, 540, 3173, 693, 519, 7665, 268, 23945, 1188, 4659, 630, 6573, 296, 264, 585, 12443, 1067, 3194, 538, 6301, 345, 267, 5125, 267, 814, 16309, 538, 1818, 606, 7471, 5547, 630, 2975, 264, 689, 1175, 513, 1395, 565, 9707, 540, 513, 15373, 532, 12249, 3842, 513, 5377, 5346, 267, 1582, 23829, 12273, 1935, 563, 1103, 519, 1582, 23829, 12273, 1184, 267, 519, 15373, 532, 12249, 2855, 5190, 3294, 883, 606, 10288, 1395, 565, 9707, 538, 513, 24923, 269, 634, 27820, 616, 9352, 17176, 1031, 2483, 17954, 752, 10843, 2488, 513, 1007, 1523, 540, 519, 1374, 540, 7636, 16546, 267, 8596, 543, 5201, 18402, 693, 23282, 7051, 454, 12867, 689, 519, 4659, 540, 17667, 11061, 543, 4437, 17190, 540, 519, 31909, 630, 296, 8016, 289, 26285, 826, 1070, 4659, 540, 8212, 540, 519, 31909, 630, 7709, 31909, 264, 543, 6022, 871, 383, 377, 2160, 2483, 2690, 21706, 543, 3744, 267, 14485, 616, 12468, 28316, 269, 1358, 2992, 543, 18195, 1769, 267, 1818, 2009, 519, 9196, 1949, 602, 5397, 6602, 998, 519, 17209, 543, 8190, 1686, 998, 12514, 563, 3719, 2221, 781, 4837, 2861, 14485, 616, 4439, 5652, 543, 5706, 9910, 4405, 1436, 269, 8921, 22831, 4066, 267, 971, 607, 24318, 987, 514, 12514, 610, 6263, 9145, 8554, 267, 2154, 2483, 14722, 689, 519, 2160, 540, 2098, 584, 747, 723, 16309, 585, 519, 1101, 942, 538, 9477, 1367, 6565, 2281, 543, 741, 27090, 28738, 344, 936, 3275, 1369, 519, 16856, 2937, 2634, 269, 901, 1353, 24259, 1769, 593, 875, 1007, 11409, 616, 3812, 2429, 1272, 563, 763, 5108, 540, 1007, 8229, 2281, 729, 2899, 2219, 547, 512, 1653, 1055, 693, 519, 1439, 540, 25782, 1646, 269, 1717, 267, 2487, 1382, 814, 3254, 602, 519, 2937, 2634, 2483, 31628, 3749, 21575, 15974, 547, 946, 2942, 13779, 547, 1852, 3002, 2095, 538, 7061, 3457, 269, 5530, 3370, 538, 8447, 5623, 16707, 454, 23797, 636, 2780, 2694, 616, 6213, 543, 991, 547, 581, 22799, 547, 1360, 1970, 5210, 269, 4256, 6263, 2450, 2306, 873, 3226, 11630, 547, 513, 2837, 2483, 1428, 269, 6349, 269, 1001, 279, 1923, 7926, 5240, 454, 1724, 269, 6349, 269, 1001, 279, 1923, 7926, 5240, 454, 1321, 269, 6349, 269, 1001, 279, 1923, 7926, 5240, 454, 866, 269, 6349, 269, 1001, 279, 1923, 10049, 7070, 454, 866, 269, 6349, 269, 1001, 279, 1923, 10049, 7070, 454, 866, 269, 6349, 269, 1001, 279, 1923, 5020, 7070, 0, 22209, 787, 883, 519, 7286, 1604, 454, 17484, 657, 5285, 534, 568, 513, 3376, 8552, 267, 1875, 1606, 2448, 545, 267, 3346, 454, 663, 7181, 9117, 5521, 8336, 543, 1035, 541, 8336, 269, 898, 454, 529, 3006, 2938, 607, 513, 10682, 585, 824, 811, 454, 11825, 11962, 1418, 5255, 3271, 710, 5521, 15969, 630, 324, 3052, 269, 30250, 307, 2676, 20142, 1231, 264, 855, 621, 568, 711, 4922, 1031, 538, 6683, 563, 763, 2930, 1439, 657, 5285, 534, 1587, 630, 20200, 1227, 476, 9834, 14999, 5562, 12146, 630, 320, 269, 328, 269, 4297, 568, 513, 7848, 540, 1079, 568, 12002, 2676, 4385, 607, 513, 630, 528, 589, 610, 594, 264, 543, 536, 630, 528, 645, 610, 4083, 1070, 538, 519, 454, 7806, 1470, 540, 476, 3583, 268, 3199, 260, 513, 547, 476, 1789, 268, 736, 260, 536, 563, 1103, 476, 2735, 275, 267, 1546, 23936, 2763, 1696, 620, 630, 2735, 275, 264, 6059, 454, 4488, 2504, 4390, 729, 476, 277, 267, 10384, 19726, 270, 20204, 630, 339, 30819, 1916, 13328, 2504, 729, 6059, 693, 5111, 454, 1015, 267, 1822, 512, 30819, 630, 21766, 476, 2735, 275, 1916, 763, 1292, 8905, 540, 7127, 883, 519, 12748, 1604, 454, 514, 519, 5177, 568, 689, 27556, 2959, 2404, 609, 454, 1080, 946, 607, 513, 23561, 267, 971, 607, 2196, 11325, 689, 2244, 454, 13434, 867, 539, 2157, 538, 519, 7286, 454, 288, 5619, 540, 476, 3199, 5177, 2627, 1216, 4609, 5473, 454, 8182, 5439, 1282, 519, 5162, 540, 476, 2735, 279, 270, 8660, 630, 306, 3722, 476, 2735, 280, 994, 516, 557, 4705, 1152, 1079, 5439, 609, 2318, 267, 1775, 4318, 269, 3436, 1015, 454, 978, 15828, 267, 2164, 585, 1439, 657, 5285, 534, 281, 476, 1556, 23356, 561, 268, 272, 454, 517, 519, 5211, 8776, 16466, 543, 476, 1691, 23356, 561, 268, 272, 538, 454, 1492, 1280, 628, 1609, 4231, 269, 769, 1312, 5439, 267, 1152, 513, 15134, 657, 5285, 534, 454, 13195, 9571, 269, 5637, 4609, 941, 25541, 7466, 855, 454, 21671, 835, 2318, 1267, 729, 5833, 693, 1142, 3135, 563, 21206, 1239, 593, 9830, 4080, 538, 519, 454, 3405, 710, 1604, 616, 4843, 538, 25715, 667, 563, 293, 622, 543, 7180, 538, 519, 7286, 454, 22033, 9034, 2213, 676, 595, 8735, 543, 13643, 630, 1960, 272, 994, 24175, 2248, 338, 602, 8851, 540, 1439, 657, 5285, 534, 689, 519, 25694, 454, 523, 1444, 949, 2049, 676, 2584, 565, 1736, 267, 29230, 3974, 2676, 2135, 9179, 267, 2019, 520, 559, 5314, 267, 7686, 18341, 566, 543, 22408, 1632, 454, 8974, 1978, 2175, 269, 1717, 267, 519, 3448, 454, 5814, 766, 540, 519, 1114, 3157, 568, 2693, 454, 1729, 581, 2352, 547, 3589, 585, 513, 1880, 25896, 563, 306, 26975, 568, 606, 1271, 12556, 585, 1439, 657, 5285, 534, 538, 454, 320, 638, 1738, 1949, 269, 13983, 557, 543, 31864, 630, 3192, 272, 264, 1336, 602, 454, 3467, 982, 476, 4037, 260, 540, 519, 1439, 657, 5285, 534, 538, 519, 5211, 10910, 710, 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 ]

[ 513, 851, 540, 1272, 269, 1284, 782, 723, 8090, 540, 4743, 14221, 610, 20158, 267, 855, 950, 1346, 4606, 1831, 811, 540, 513, 8628, 454, 276, 3600, 1575, 2002, 338, 585, 17520, 1411, 2052, 1520, 2381, 3563, 23126, 454, 2108, 4263, 513, 942, 950, 1004, 616, 865, 6857, 540, 4509, 741, 2168, 1072, 676, 9013, 741, 11326, 267, 16706, 267, 543, 865, 8521, 267, 621, 2306, 2631, 547, 2119, 547, 11349, 519, 454, 10907, 17815, 281, 634, 22731, 12713, 327, 871, 585, 20353, 28152, 454, 16352, 18596, 31264, 568, 2147, 547, 15970, 513, 2191, 4442, 22525, 269, 1879, 789, 979, 689, 1373, 30414, 547, 8362, 26688, 543, 7646, 569, 1102, 584, 11868, 267, 972, 568, 1419, 2370, 835, 666, 798, 454, 274, 3600, 340, 32622, 585, 17520, 454, 3080, 540, 519, 1034, 8748, 1919, 827, 1373, 606, 1035, 1575, 9417, 584, 626, 568, 519, 2702, 547, 12954, 2798, 593, 1250, 1378, 1560, 950, 594, 991, 547, 269, 1403, 594, 1205, 513, 454, 763, 30715, 9650, 17583, 454, 25565, 4457, 6925, 5654, 693, 1919, 8335, 543, 1247, 621, 949, 581, 513, 2370, 14845, 267, 972, 568, 2356, 930, 1455, 2666, 602, 666, 581, 1336, 2390, 6514, 543, 454, 15463, 4472, 570, 9582, 547, 21079, 13262, 454, 29590, 568, 1945, 602, 5540, 16764, 269, 13262, 568, 3989, 607, 513, 1533, 540, 2790, 610, 3929, 8082, 610, 8833, 4611, 689, 14053, 610, 8801, 6381, 269, 901, 666, 1267, 538, 454, 26668, 30258, 3600, 17815, 29452, 21079, 13262, 454, 29590, 568, 513, 2262, 1082, 1004, 616, 5432, 609, 269, 634, 8675, 11225, 2566, 538, 2789, 2081, 267, 855, 972, 568, 1152, 835, 602, 6927, 950, 649, 1865, 875, 2566, 5540, 454, 26045, 270, 10387, 10899, 31834, 540, 634, 9839, 454, 763, 2101, 5539, 540, 519, 2295, 538, 570, 13967, 568, 8027, 519, 2247, 543, 9013, 519, 521, 1156, 269, 968, 306, 1156, 892, 666, 581, 2938, 607, 519, 2949, 1072, 1465, 540, 519, 2247, 269, 1879, 596, 454, 278, 30258, 547, 16418, 4934, 3600, 17815, 454, 2710, 596, 2479, 1745, 707, 1272, 779, 513, 11878, 602, 4465, 1406, 2479, 3247, 286, 1215, 1082, 17334, 798, 596, 7227, 585, 6004, 269, 9995, 2006, 547, 4012, 1227, 2408, 286, 1215, 1419, 798, 596, 5963, 0, 2026, 513, 968, 7666, 344, 945, 15055, 547, 4194, 13410, 2223, 6276, 30621, 568, 6157, 538, 606, 3617, 2361, 563, 2467, 568, 1100, 1439, 540, 9157, 3283, 547, 10994, 607, 519, 2160, 540, 4826, 31846, 3540, 543, 2825, 4702, 7548, 5083, 1132, 519, 1646, 543, 27715, 540, 2780, 3631, 547, 3589, 1018, 786, 4755, 538, 7297, 515, 1091, 563, 3383, 1082, 1950, 4632, 2097, 883, 1404, 1107, 689, 14099, 547, 3037, 2175, 267, 2916, 1689, 543, 5734, 7146, 2173, 1170, 4365, 23004, 1107, 602, 1010, 960, 786, 2693, 2611, 513, 10419, 783, 960, 538, 3356, 607, 3631, 2087, 267, 855, 616, 2760, 7357, 3501, 539, 563, 2108, 6546, 779, 519, 1187, 851, 2223, 30621, 1767, 540, 519, 11104, 640, 540, 519, 4161, 269, 968, 6546, 779, 519, 1382, 3034, 290, 571, 580, 779, 5571, 4674, 547, 3589, 875, 7297, 515, 1091, 1599, 3893, 513, 5818, 5063, 950, 646, 729, 3957, 513, 4516, 3194, 17348, 538, 10281, 6331, 545, 3525, 2454, 543, 5811, 267, 609, 1269, 4335, 267, 1822, 538, 7616, 13752, 676, 519, 5313, 2229, 936, 2947, 1296, 563, 1103, 519, 2110, 3856, 267, 519, 3804, 568, 547, 1118, 3631, 1732, 267, 811, 4977, 30661, 540, 2436, 972, 1522, 581, 14700, 1310, 513, 11811, 267, 610, 950, 1216, 2157, 786, 8445, 538, 23854, 865, 8652, 3887, 10431, 3549, 666, 1544, 547, 2333, 4398, 563, 262, 2171, 666, 1405, 7227, 1472, 7055, 14071, 666, 1406, 7227, 1472, 585, 1919, 547, 2965, 4755, 2223, 1767, 30621, 267, 945, 1568, 5702, 609, 8284, 7548, 21563, 534, 24729, 5459, 267, 543, 814, 1896, 10927, 1053, 543, 513, 2022, 28273, 28118, 8284, 593, 1010, 1382, 2319, 269, 968, 2171, 723, 547, 2119, 547, 3589, 1018, 779, 2469, 547, 4755, 10200, 20371, 10702, 856, 267, 519, 2832, 568, 1646, 540, 513, 2582, 2780, 2203, 602, 1223, 581, 9862, 267, 711, 3710, 689, 15072, 267, 585, 946, 538, 11212, 3309, 8916, 689, 5032, 3562, 18396, 770, 538, 4516, 563, 4415, 14700, 519, 1034, 14427, 1106, 540, 2067, 9568, 538, 519, 2197, 267, 3384, 606, 2038, 9963, 1062, 547, 1450, 17355, 340, 725, 543, 824, 13390, 1081, 776, 3800, 568, 513, 5458, 1382, 1858, 593, 922, 1378, 563, 8448, 3096, 585, 24659, 2780, 20592, 1331, 4058, 585, 1379, 3549, 267, 1646, 540, 2244, 14025, 4507, 1472, 19883, 267, 543, 519, 1764, 593, 1216, 7727, 540, 3282, 543, 3154, 10868, 563, 9556, 1564, 2907, 538, 946, 454, 5475, 4358, 1010, 2627, 1216, 1382, 827, 5216, 1296, 3516, 267, 30621, 814, 8329, 547, 3631, 602, 723, 1044, 2322, 547, 946, 538, 1585, 2694, 540, 519, 2197, 538, 519, 2063, 1906, 1296, 563, 3528, 1818, 873, 811, 16762, 543, 4061, 811, 3730, 267, 519, 3804, 1631, 568, 547, 17108, 741, 10073, 676, 29801, 267, 7855, 543, 22124, 563, 17606, 779, 6410, 689, 513, 1382, 2203, 547, 606, 10512, 2203, 2223, 1767, 30621, 269, 0, 18404, 1794, 15351, 803, 1470, 17304, 10044, 11606, 538, 6935, 547, 2825, 4632, 538, 519, 7187, 13323, 540, 6792, 2620, 4262, 454, 21206, 11657, 27084, 454, 1103, 1931, 547, 811, 4628, 1174, 519, 3892, 540, 803, 1470, 17304, 10044, 543, 875, 789, 4431, 547, 1283, 4919, 267, 2520, 12950, 543, 2168, 16550, 538, 519, 7187, 13323, 540, 6792, 267, 803, 1470, 17304, 10044, 11606, 543, 2825, 4632, 941, 9916, 538, 513, 8367, 2861, 796, 21725, 543, 1617, 21725, 1374, 269, 2725, 1470, 17304, 10044, 11606, 729, 3648, 1644, 547, 1216, 3178, 267, 855, 849, 17820, 1713, 19976, 3604, 4611, 689, 16133, 547, 14967, 5211, 856, 6503, 269, 24258, 2934, 538, 16133, 540, 14967, 5211, 856, 6503, 941, 1336, 547, 7494, 3986, 803, 1470, 17304, 10044, 11606, 269, 634, 8419, 18521, 17369, 618, 25998, 609, 14967, 5211, 856, 6503, 543, 519, 31230, 7351, 547, 3986, 803, 1470, 17304, 10044, 11606, 693, 10473, 14084, 2047, 1657, 543, 2630, 519, 1965, 8364, 335, 618, 269, 5564, 21725, 16198, 540, 803, 1470, 17304, 10044, 11606, 609, 2825, 4632, 7000, 513, 2178, 14967, 5211, 3310, 269, 5211, 856, 6503, 32290, 2199, 11159, 4162, 267, 543, 25998, 609, 8520, 1699, 1196, 323, 625, 543, 6422, 9386, 27177, 547, 2333, 28634, 5214, 2339, 13441, 538, 519, 27040, 3148, 267, 3976, 2870, 2127, 540, 2362, 982, 3339, 803, 1470, 17304, 10044, 11606, 269, 476, 1220, 277, 29021, 13456, 269, 2353, 2924, 11603, 269, 0, 2467, 616, 1896, 20887, 827, 4830, 1404, 585, 9002, 267, 20854, 267, 543, 1762, 1453, 563, 5278, 8263, 602, 4830, 1404, 1797, 5667, 10967, 14876, 1404, 269, 769, 4334, 267, 1866, 949, 2253, 547, 1745, 16944, 607, 952, 6028, 513, 1126, 547, 1404, 4805, 6920, 27823, 610, 10714, 995, 15970, 563, 5715, 8817, 7591, 9701, 2142, 7402, 2227, 3022, 454, 2026, 2484, 607, 3733, 26713, 9995, 2401, 267, 519, 17082, 540, 12624, 322, 746, 267, 568, 7255, 267, 891, 3575, 13522, 7948, 1406, 581, 2417, 689, 519, 5168, 269, 769, 1249, 267, 9995, 2401, 11099, 602, 4830, 1404, 1058, 711, 1152, 581, 7989, 24777, 267, 855, 9415, 563, 5715, 8817, 1404, 568, 606, 1898, 2511, 540, 1404, 538, 799, 1453, 616, 4847, 547, 1404, 676, 2933, 896, 519, 4585, 995, 3750, 540, 513, 7404, 2385, 563, 5715, 8817, 1404, 5654, 1114, 585, 1453, 540, 782, 6502, 543, 568, 3226, 6225, 538, 513, 1126, 779, 1646, 269, 7591, 5503, 2337, 1489, 5042, 1599, 543, 513, 1126, 779, 2702, 547, 1451, 563, 10214, 1498, 7317, 1404, 814, 1082, 2640, 267, 4830, 1404, 568, 4105, 269, 18763, 1404, 11942, 1966, 9010, 1983, 267, 5876, 267, 9639, 267, 543, 18094, 563, 7069, 26713, 9995, 2401, 11099, 602, 972, 616, 1614, 1883, 2093, 547, 3314, 950, 7598, 4830, 1404, 585, 1762, 1453, 563, 2108, 2704, 869, 707, 1126, 547, 1291, 2864, 982, 596, 1373, 519, 8258, 548, 14575, 269, 1411, 1810, 1405, 723, 547, 581, 519, 9913, 2707, 585, 707, 1453, 269, 14190, 873, 547, 2731, 2263, 519, 17909, 540, 741, 5876, 543, 7115, 2223, 9995, 2401, 3081, 563, 301, 6334, 267, 519, 2238, 513, 1126, 786, 4497, 538, 10446, 4268, 1759, 593, 2085, 269, 1717, 267, 519, 5686, 540, 9162, 543, 2238, 3214, 616, 2016, 1118, 513, 2462, 3017, 538, 1818, 519, 1034, 856, 540, 4830, 1404, 5503, 563, 2414, 948, 7520, 4830, 1404, 267, 9995, 2401, 7512, 3237, 547, 1413, 693, 519, 2010, 540, 9162, 789, 2461, 5356, 3214, 563, 306, 663, 2401, 11363, 7446, 1930, 25804, 9162, 602, 4497, 1453, 267, 8066, 741, 3007, 585, 6905, 5712, 269, 1306, 513, 1267, 267, 930, 540, 519, 1034, 9159, 9162, 616, 519, 14724, 267, 519, 6836, 543, 3020, 29202, 649, 4076, 782, 2097, 547, 917, 543, 2648, 563, 14300, 540, 9162, 602, 22937, 2933, 23182, 547, 4830, 1404, 5503, 1331, 4605, 2835, 267, 1148, 3785, 899, 7801, 543, 7206, 267, 13410, 267, 543, 7161, 269, 8479, 518, 1453, 949, 4324, 689, 513, 1126, 1606, 12522, 1404, 7997, 1141, 789, 666, 887, 600, 11884, 267, 1247, 4587, 1453, 949, 581, 811, 6899, 2519, 593, 835, 2534, 3476, 563, 8601, 519, 2640, 540, 4830, 1404, 267, 930, 3237, 3136, 547, 5855, 602, 6028, 1453, 547, 1404, 4805, 666, 1291, 547, 30627, 269, 3733, 26713, 9995, 2401, 2712, 2471, 3237, 711, 547, 4250, 30627, 855, 547, 9784, 621, 3079, 563, 14881, 1589, 972, 781, 513, 2462, 31605, 602, 649, 1058, 581, 4730, 609, 938, 3214, 782, 519, 942, 543, 602, 789, 1058, 2760, 581, 19252, 269, 1809, 621, 781, 2731, 1271, 547, 1450, 938, 3214, 547, 581, 19252, 1317, 602, 781, 950, 5876, 568, 4535, 269, 1358, 723, 2230, 547, 1589, 267, 789, 723, 2230, 547, 2263, 267, 789, 1831, 811, 3860, 543, 4199, 995, 1004, 2223, 3081, 9995, 2401, 563, 4407, 1404, 5503, 568, 4830, 267, 3237, 262, 1909, 538, 8716, 543, 14123, 22072, 1404, 5503, 568, 1883, 269, 3245, 7446, 5078, 9162, 547, 2870, 513, 5432, 543, 6899, 6296, 267, 3237, 2482, 519, 24536, 585, 6126, 267, 2318, 267, 543, 2500, 4830, 1404, 563, 308, 2955, 5753, 781, 9314, 338, 454, 12234, 267, 3237, 991, 547, 1491, 519, 942, 547, 1174, 741, 1453, 779, 4690, 547, 5000, 811, 3811, 4830, 1404, 563, 22081, 798, 649, 948, 938, 3214, 1831, 4830, 5716, 286, 594, 1589, 621, 781, 782, 827, 875, 649, 1305, 909, 938, 5321, 865, 649, 666, 2731, 2007, 883, 519, 1184, 267, 3843, 547, 1205, 713, 2469, 543, 1305, 10853, 6788, 269, 589, 835, 4458, 6040, 814, 827, 513, 835, 18826, 3007, 12732, 269, 589, 1079, 4458, 6040, 814, 513, 7008, 540, 3764, 811, 267, 543, 865, 593, 543, 865, 8521, 269, 1924, 594, 1589, 621, 781, 827, 4259, 909, 1346, 2731, 10853, 6788, 585, 3054, 543, 707, 1126, 2223, 6941, 9995, 2401, 563, 12024, 1022, 824, 5578, 602, 3237, 610, 1453, 1451, 267, 4830, 1404, 3587, 4443, 543, 811, 5432, 269, 5221, 1453, 666, 7903, 741, 5876, 547, 519, 3970, 1282, 22072, 1404, 5503, 267, 789, 786, 2693, 2253, 547, 1413, 4464, 547, 621, 269, 5753, 666, 849, 1020, 513, 2631, 540, 15366, 3972, 998, 4830, 1404, 563, 17606, 781, 513, 2603, 827, 7115, 585, 519, 3214, 267, 855, 849, 7115, 585, 519, 3237, 2223, 3081, 3733, 26713, 454, 2108, 3383, 950, 596, 2811, 693, 519, 9702, 5428, 267, 596, 666, 10004, 609, 707, 2828, 267, 543, 596, 666, 723, 606, 2937, 6643, 1510, 2348, 547, 5855, 827, 19278, 519, 3214, 3034, 288, 12736, 2914, 514, 23063, 6672, 454, 2414, 9995, 2401, 267, 3811, 4830, 1404, 568, 513, 3094, 2914, 514, 3510, 267, 27548, 513, 2318, 6364, 585, 1453, 543, 3237, 269, 898, 779, 513, 1907, 602, 666, 7668, 3214, 1312, 538, 519, 4090, 543, 585, 1082, 1296, 547, 2097, 563, 17606, 781, 606, 16779, 4743, 540, 22920, 543, 513, 15970, 11802, 2507, 320, 12624, 322, 746, 4090, 2223, 1352, 3081, 563, 1607, 2376, 729, 3812, 543, 25102, 5344, 676, 32100, 540, 717, 2465, 802, 269, 0, 2467, 616, 513, 1297, 540, 2621, 8345, 538, 27068, 1142, 1032, 267, 1519, 519, 11197, 16635, 543, 519, 28610, 16635, 563, 7197, 1004, 917, 602, 23863, 568, 519, 942, 950, 519, 3141, 4422, 1524, 269, 1809, 1705, 596, 917, 602, 519, 3141, 3085, 1405, 2965, 1305, 286, 5502, 267, 3047, 29226, 883, 14334, 267, 4758, 721, 519, 21903, 602, 519, 3141, 568, 4259, 269, 1924, 1018 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7332, 681, 30389, 4432, 924, 540, 3345, 3127, 454, 5649, 661, 5174, 809, 4033, 4813, 1846, 454, 20428, 5729, 630, 11742, 2187, 305, 5819, 28753, 531, 4676, 912, 14630, 540, 20520, 912, 763, 1353, 540, 519, 1585, 512, 4536, 540, 519, 15194, 5049, 538, 19744, 3127, 814, 13631, 519, 3007, 540, 513, 1297, 540, 5640, 538, 2022, 7115, 1974, 269, 898, 814, 1044, 6444, 602, 972, 729, 21712, 2497, 538, 10120, 4095, 1135, 640, 269, 589, 11984, 814, 849, 1044, 1500, 538, 519, 6805, 22420, 15194, 5049, 543, 519, 7332, 15194, 16918, 799, 2706, 574, 12723, 3294, 936, 519, 6805, 15194, 5049, 609, 519, 10661, 540, 519, 16156, 29001, 520, 563, 7312, 1543, 814, 1044, 11643, 454, 305, 520, 902, 1299, 5623, 454, 25802, 1434, 1344, 563, 4537, 1695, 26588, 2378, 4446, 20393, 454, 2252, 2009, 4896, 723, 695, 6359, 571, 1920, 3529, 540, 28753, 531, 4446, 20393, 911, 756, 540, 5900, 1442, 9031, 5225, 2671, 609, 803, 269, 0, 763, 3504, 2749, 540, 645, 8475, 543, 519, 4478, 10806, 540, 20770, 616, 1634, 538, 4276, 609, 519, 13486, 2679, 269, 1809, 609, 519, 4412, 4854, 25084, 538, 519, 1433, 540, 31694, 543, 519, 5393, 1271, 2495, 267, 621, 5654, 2864, 8909, 269, 7073, 20770, 814, 513, 16854, 1909, 547, 1404, 1934, 543, 1631, 563, 1103, 327, 5306, 1315, 12474, 454, 763, 1641, 540, 20770, 538, 519, 3883, 540, 31694, 568, 14284, 676, 930, 13039, 610, 1152, 5768, 3373, 9619, 269, 2290, 610, 519, 824, 14374, 547, 519, 4143, 5939, 2818, 2356, 8507, 538, 606, 968, 296, 1810, 1406, 917, 892, 610, 606, 968, 296, 4076, 4862, 540, 621, 892, 607, 606, 2626, 269, 1717, 267, 9444, 519, 2818, 540, 513, 6237, 27685, 673, 5939, 594, 26906, 6862, 519, 2818, 540, 513, 23837, 30798, 6785, 875, 519, 5888, 267, 519, 4282, 543, 267, 1657, 782, 267, 519, 2104, 540, 20770, 729, 3908, 538, 942, 269, 3502, 547, 2446, 519, 19071, 1242, 540, 519, 4936, 7826, 5783, 269, 11330, 515, 1097, 568, 711, 3622, 835, 540, 519, 23163, 5396, 540, 23075, 547, 581, 6026, 269, 901, 568, 849, 11214, 24669, 267, 1317, 538, 713, 1259, 519, 2250, 543, 849, 3810, 22521, 11051, 4330, 538, 519, 6426, 1223, 581, 3362, 4857, 269, 901, 568, 4010, 1018, 519, 5783, 540, 7507, 568, 3843, 547, 2057, 609, 782, 922, 1522, 630, 322, 3300, 3146, 4146, 264, 543, 609, 519, 948, 540, 519, 20908, 3726, 1931, 609, 1390, 1967, 269, 4107, 540, 519, 5449, 17557, 13039, 723, 1279, 2094, 8678, 519, 2915, 5733, 540, 7507, 543, 723, 3976, 8120, 607, 2899, 968, 3698, 5050, 20766, 892, 543, 1118, 2370, 2367, 1631, 563, 763, 3504, 2749, 540, 645, 8475, 729, 3710, 676, 519, 865, 10777, 968, 14140, 1119, 7949, 892, 715, 574, 16967, 269, 634, 1858, 6013, 1063, 519, 661, 25045, 6233, 543, 570, 580, 5142, 8933, 267, 538, 1018, 568, 1631, 12925, 269, 634, 4583, 18975, 540, 645, 8475, 849, 3576, 1747, 972, 269, 901, 3801, 547, 26595, 8103, 538, 18326, 1996, 2696, 814, 267, 607, 568, 1134, 1634, 267, 8854, 3520, 1026, 569, 4636, 269, 634, 10539, 540, 4654, 12462, 321, 629, 1076, 14615, 2322, 606, 1439, 547, 519, 554, 755, 548, 543, 11861, 548, 269, 634, 10806, 540, 20770, 25577, 1063, 15438, 3026, 321, 1276, 611, 928, 3960, 541, 543, 645, 19977, 9579, 541, 563, 4913, 267, 1813, 547, 645, 19977, 9579, 541, 779, 16912, 1632, 267, 519, 2899, 3532, 10504, 729, 19942, 936, 676, 2696, 547, 519, 2405, 334, 6261, 619, 2103, 12462, 300, 2940, 2367, 324, 751, 30448, 1107, 9093, 564, 2131, 601, 26158, 901, 5949, 538, 519, 1032, 476, 276, 4375, 7460, 269, 1369, 835, 3781, 543, 1510, 513, 1390, 3956, 540, 6370, 269, 634, 1686, 540, 3504, 20770, 896, 519, 30634, 1372, 753, 7475, 968, 531, 2819, 892, 1310, 519, 476, 276, 269, 3184, 540, 519, 1433, 540, 12253, 563, 1432, 3788, 540, 519, 3504, 2749, 540, 645, 8475, 2221, 286, 1306, 1434, 607, 4986, 269, 5221, 2696, 814, 14733, 3571, 10385, 593, 713, 29043, 2749, 267, 607, 538, 22819, 31109, 476, 7906, 281, 3066, 912, 2108, 4517, 519, 2244, 4927, 12152, 1076, 543, 28194, 281, 585, 1169, 3483, 540, 519, 28789, 4927, 581, 5340, 1996, 20770, 267, 547, 1118, 519, 2244, 540, 20770, 513, 964, 15684, 1510, 606, 9468, 656, 3034, 763, 4583, 623, 1120, 17868, 7467, 814, 11478, 538, 12670, 2094, 5927, 648, 337, 30247, 4083, 543, 3568, 519, 865, 10777, 1772, 6255, 541, 19835, 689, 519, 5449, 7532, 2427, 540, 519, 2749, 269, 589, 4544, 10766, 538, 519, 2899, 5835, 2749, 3774, 1472, 645, 8475, 563, 4407, 519, 6196, 11620, 2965, 2141, 12909, 827, 519, 2749, 540, 645, 8475, 630, 514, 4436, 645, 17156, 1070, 519, 1715, 11620, 6257, 630, 19640, 264, 20770, 538, 519, 3883, 540, 31694, 269, 898, 568, 711, 513, 21055, 2749, 267, 855, 6763, 607, 513, 3090, 585, 519, 1025, 5684, 1335, 748, 267, 31561, 520, 9317, 4874, 1492, 1143, 540, 519, 3504, 1158, 10504, 269, 20770, 538, 31694, 568, 4061, 547, 581, 5701, 607, 4412, 4854, 563, 763, 20770, 568, 519, 2040, 540, 513, 9769, 540, 1614, 9988, 269, 634, 15743, 267, 519, 28458, 630, 719, 540, 519, 4262, 264, 543, 519, 7301, 22445, 630, 5408, 31694, 476, 1626, 281, 1724, 1916, 763, 15743, 267, 607, 4330, 538, 31694, 476, 1321, 281, 280, 267, 568, 30616, 269, 4340, 547, 31694, 476, 1724, 281, 273, 267, 646, 3947, 519, 28458, 630, 719, 540, 519, 4262, 264, 1010, 1379, 267, 519, 17599, 543, 6392, 630, 517, 3618, 1916, 4415, 519, 28458, 689, 519, 4262, 621, 568, 827, 519, 13099, 2329, 610, 519, 4936, 7826, 269, 5783, 269, 901, 1249, 729, 5063, 6444, 676, 519, 1101, 6963, 619, 543, 4986, 814, 4957, 689, 713, 1249, 2394, 2221, 269, 25175, 945, 6811, 602, 621, 568, 827, 606, 630, 7631, 748, 264, 2104, 4165, 747, 2077, 568, 2901, 27102, 519, 2347, 19359, 1063, 519, 13400, 16322, 2886, 543, 519, 3105, 543, 1699, 18567, 543, 3527, 540, 519, 4936, 5783, 267, 610, 646, 740, 12742, 547, 519, 7839, 26760, 540, 519, 865, 10777, 968, 293, 583, 584, 1143, 892, 1510, 6086, 11868, 713, 5098, 1759, 593, 1010, 1378, 8404, 538, 519, 6426, 2638, 936, 563, 2690, 1383, 267, 519, 7301, 22445, 666, 581, 1336, 538, 31694, 476, 1724, 689, 14235, 476, 1556, 269, 901, 22445, 568, 4330, 1934, 607, 519, 28458, 856, 540, 519, 3618, 269, 589, 968, 25269, 850, 892, 4207, 543, 18911, 577, 2006, 540, 519, 1101, 28458, 269, 901, 28458, 540, 519, 3618, 568, 15468, 17557, 1143, 538, 4276, 609, 519, 1533, 1379, 7330, 269, 2060, 519, 1101, 6963, 619, 267, 519, 17557, 5783, 729, 2899, 18274, 539, 540, 519, 5667, 701, 752, 762, 2349, 5684, 1335, 625, 540, 519, 4936, 7826, 5783, 269, 3807, 607, 519, 11317, 540, 3504, 20770, 2899, 10847, 539, 519, 3141, 607, 741, 18678, 5601, 269, 634, 13283, 585, 519, 3141, 568, 1360, 7298, 538, 519, 4936, 5783, 563, 3719, 519, 5939, 5443, 543, 2021, 540, 519, 27685, 673, 8075, 723, 1471, 4601, 8959, 547, 4625, 5372, 519, 1025, 5684, 1335, 748, 6891, 602, 814, 8854, 856, 609, 519, 1702, 6591, 998, 519, 26746, 609, 519, 10752, 540, 519, 22258, 543, 849, 547, 4734, 891, 18408, 607, 789, 616, 269, 1924, 621, 666, 581, 9108, 10924, 602, 519, 20766, 540, 7507, 267, 945, 1869, 1289, 2933, 968, 299, 9801, 534, 932, 11699, 5608, 786, 11654, 519, 20655, 540, 1004, 945, 616, 21705, 547, 519, 20227, 811, 25525, 3585, 982, 519, 3993, 3919, 538, 7507, 3294, 269, 898, 568, 2907, 10423, 2221, 602, 519, 27685, 673, 13039, 616, 968, 9188, 1068, 539, 540, 782, 1434, 14326, 2108, 563, 6097, 547, 519, 6240, 540, 519, 6905, 791, 675, 6891, 538, 606, 1367, 267, 4330, 538, 15623, 476, 1321, 281, 6246, 268, 3393, 912, 2108, 2691, 519, 11515, 534, 6891, 568, 8854, 856, 540, 513, 812, 267, 646, 3802, 996, 998, 3819, 4025, 267, 5275, 1964, 267, 543, 1265, 996, 9039, 269, 3973, 646, 1094, 603, 267, 594, 786, 2132, 883, 1250, 2777, 689, 950, 576, 594, 3357, 856, 282, 543, 950, 646, 568, 2097, 267, 646, 1265, 996, 621, 8900, 267, 25626, 267, 543, 21959, 1639, 269, 3973, 979, 996, 646, 267, 543, 512, 752, 996, 609, 5128, 5722, 824, 14326, 811, 29063, 982, 5128, 267, 543, 789, 4283, 538, 543, 17743, 972, 281, 543, 519, 2063, 1533, 540, 602, 812, 568, 8338, 982, 519, 1101, 269, 4634, 865, 4927, 621, 581, 849, 21349, 713, 29063, 5108, 3034, 763, 2462, 3017, 609, 519, 4936, 7826, 5783, 568, 602, 621, 814, 2760, 1044, 15685, 689, 519, 632, 21082, 14326, 2094, 922, 27299, 269, 2701, 5189, 519, 646, 637, 625, 267, 12758, 547, 873, 267, 9450, 519, 10189, 267, 543, 5170, 547, 561, 675, 1004, 2786, 883, 829, 1288, 2221, 269, 7507, 814, 2760, 4957, 543, 1281, 711, 21199, 922, 5667, 701, 752, 762, 1025, 5684, 1335, 625, 563, 763, 2777, 540, 20770, 568, 4904, 609, 11515, 534, 14326, 630, 12742, 344, 264, 2221, 543, 621, 786, 711, 581, 1279, 1354, 519, 1390, 608, 17474, 568, 4862, 912, 2108, 4517, 646, 524, 3072, 1522, 1176, 609, 513, 2178, 5639, 267, 6031, 267, 20770, 519, 1390, 568, 15468, 267, 568, 15468, 267, 543, 568, 1831, 519, 3110, 2787, 540, 1821, 2812, 267, 543, 519, 3180, 540, 1169, 28067, 6891, 267, 543, 513, 21799, 540, 1169, 11515, 534, 543, 13842, 995, 6177, 1848, 630, 3725, 341, 269, 476, 1240, 267, 273, 994, 289, 629, 14125, 4330, 538, 519, 1433, 540, 31694, 5161, 540, 912, 25823, 534, 267, 519, 5783, 540, 7507, 543, 519, 15468, 17557, 932, 11699, 786, 26595, 630, 325, 3373, 264, 543, 1927, 267, 538, 1840, 547, 10847, 532, 513, 7301, 5601, 267, 786, 30201, 1393, 3020, 21071, 610, 13794, 540, 519, 22258, 269, 1306, 606, 10324, 1533, 1379, 267, 519, 7330, 786, 1404, 513, 3844, 1909, 269, 1809, 2221, 779, 20770, 786, 849, 2097, 547, 606, 23589, 1439, 267, 1175, 899, 519, 3504, 10806, 2899, 1705, 269, 634, 1433, 540, 31694, 3184, 476, 1240, 3947, 2143, 1344, 827, 713, 269, 3807, 4584, 909, 519, 6426, 3054, 543, 1224, 621, 609, 707, 8118, 4064, 543, 2247, 563, 9213, 779, 20770, 786, 4166, 2408, 968, 558, 30876, 582, 550, 6100, 901, 10039, 547, 782, 18125, 540, 4948, 1272, 269, 2311, 713, 1448, 519, 1004, 1590, 6430, 2436, 789, 1616, 547, 1246, 519, 2915, 5733, 543, 968, 577, 718, 10622, 892, 540, 20770, 610, 2436, 789, 1616, 547, 2611, 21705, 547, 2696, 563, 2690, 519, 1004, 621, 3085, 1406, 2339, 2436, 789, 3494, 538, 519, 10752, 540, 20770, 610, 2436, 789, 1152, 7119, 538, 519, 10847, 630, 22238, 2406, 968, 300, 1278, 3047, 892, 543, 713, 593, 9530, 904, 264, 1317, 540, 12219, 24476, 630, 4754, 1100, 3476, 4444, 543, 6133, 267, 1294, 31694, 476, 1724, 1040, 1358, 1491, 519, 968, 5658, 540, 519, 28458, 892, 543, 786, 581, 4503, 269, 10251, 267, 519, 5354, 540, 891, 1004, 786, 1491, 606, 3742, 851, 538, 519, 20655, 540, 13794, 540, 519, 3020, 22258, 269, 634, 1219, 14212, 267, 26723, 2350, 1143, 543, 17181, 540, 1978, 2516, 540, 1004, 814, 5063, 1044, 6707, 7318, 936, 519, 2250, 476, 274, 1296, 1210, 513, 6240, 602, 814, 2907, 1044, 1031, 1896, 2053, 630, 295, 1122, 27318, 12480, 624, 923, 1916, 10190, 621, 779, 1732, 547, 6529, 547, 519, 6478, 540, 2696, 563, 289, 1043, 18627, 689, 3751, 6276, 19405, 0, 12606, 634, 21069, 18124, 538, 19446, 19836, 305, 760, 476, 24798, 335, 609, 32680, 23866, 454, 1103, 590, 1998, 321, 731, 267, 8701, 12217, 941, 4767, 547, 6146, 3043, 15515, 8898, 23522, 1282, 5614, 267, 950, 519, 23522, 941, 16290, 538, 519, 4262, 4672, 269, 634, 12217, 1287, 8399, 539, 547, 21461, 519, 1286, 322, 13293, 267, 799, 7283, 543, 941, 13881, 1282, 519, 4672, 6954, 4832, 543, 15489, 563, 335, 6897, 2769, 538, 31448, 1863, 4647, 454, 763, 4139, 5742, 585, 11094, 540, 7186, 267, 11848, 8693, 8177, 10495, 267, 2136, 2276, 24959, 11752, 543, 1082, 3056, 8701, 7703, 27563, 723, 6829, 18205, 4145, 827, 519, 1764, 540, 2916, 1689, 267, 609, 930, 17782, 14486, 676, 476, 13975, 271, 563, 763, 2360, 540, 2916, 1689, 616, 1034, 7096, 538, 519, 7013, 851, 540, 519, 8701, 7703, 781, 2039, 267, 543, 713, 568, 8197, 1141, 1713, 12159, 540, 2199, 5095, 814, 1044, 4767, 269, 634 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 563, 5278, 5496, 3988, 949, 2154, 596, 547, 581, 538, 1445, 7154, 610, 547, 946, 707, 1780, 998, 1883, 0, 22826, 11671, 323, 5744, 5753, 547, 21079, 2598, 4533, 633, 29007, 543, 32754, 15474, 4804, 454, 1607, 2376, 6663, 547, 1683, 4052, 2645, 543, 1702, 602, 596, 666, 946, 547, 1655, 1489, 543, 20741, 5778, 323, 5744, 1053, 538, 707, 4928, 269, 5272, 2875, 596, 2743, 786, 723, 2189, 2115, 855, 950, 519, 2189, 2115, 540, 513, 5778, 323, 5744, 2875, 616, 711, 1558, 621, 666, 7519, 1565, 585, 782, 543, 2569, 519, 8458, 540, 1967, 585, 519, 2875, 19403, 811, 454, 7617, 568, 621, 281, 15214, 13808, 610, 11838, 888, 6701, 596, 7334, 827, 2436, 707, 1126, 568, 5409, 5562, 630, 553, 1762, 1453, 1419, 616, 1070, 2965, 814, 15214, 13808, 610, 814, 11838, 630, 16920, 1549, 4347, 7228, 15214, 13808, 13081, 1040, 901, 2376, 6663, 547, 948, 3237, 543, 7855, 1174, 519, 11029, 3604, 543, 3091, 5796, 585, 5885, 1453, 538, 519, 1753, 543, 693, 1153, 19403, 811, 454, 1432, 616, 519, 2038, 4191, 543, 2589, 540, 20150, 25400, 13081, 888, 8505, 1143, 25400, 13081, 630, 528, 20284, 585, 2110, 264, 568, 27537, 676, 513, 7411, 609, 1514, 2792, 543, 16625, 3270, 540, 7180, 269, 901, 2376, 7710, 891, 1079, 2127, 538, 811, 1469, 4758, 513, 3102, 3391, 547, 519, 2038, 4191, 543, 2589, 540, 20284, 19403, 811, 454, 1432, 798, 649, 1611, 676, 11671, 323, 1751, 267, 11671, 323, 1853, 7217, 267, 543, 11671, 20200, 673, 888, 7437, 2799, 4656, 267, 8417, 543, 1620, 649, 666, 1711, 5054, 267, 2238, 543, 4205, 602, 5512, 13784, 269, 1284, 991, 547, 1711, 513, 1158, 1141, 3025, 568, 7608, 267, 3769, 543, 9976, 585, 945, 789, 616, 19403, 811, 454, 3963, 568, 7591, 865, 5668, 27701, 585, 5753, 609, 24894, 888, 25440, 568, 606, 1898, 851, 540, 3395, 909, 269, 634, 2640, 540, 1404, 3310, 782, 2168, 543, 3929, 3344, 540, 1646, 689, 3395, 6793, 547, 1565, 875, 547, 2170, 609, 835, 1776, 269, 1284, 18783, 602, 1453, 786, 3274, 917, 875, 547, 1404, 610, 581, 2111, 547, 2048, 2998, 1404, 685, 609, 1152, 513, 2370, 19015, 855, 1404, 666, 2965, 581, 1360, 2352, 585, 930, 1453, 543, 538, 1880, 1346, 609, 9124, 19403, 811, 454, 31636, 11150, 585, 15706, 609, 4515, 895, 543, 13038, 4804, 5262, 2159, 625, 630, 303, 7876, 291, 994, 1607, 2376, 11828, 513, 2039, 540, 2994, 602, 666, 581, 1031, 676, 519, 2792, 7649, 547, 1020, 543, 7794, 5732, 32705, 6786, 799, 568, 2565, 538, 2417, 532, 519, 1646, 540, 2792, 1983, 19403, 811, 454, 31572, 4911, 518, 267, 513, 3391, 585, 14268, 543, 11334, 454, 1607, 2376, 6663, 547, 1683, 513, 2312, 1620, 540, 10845, 781, 1082, 18125, 267, 689, 922, 4214, 543, 3123, 547, 922, 2589, 543, 2359, 2553, 269, 1635, 30015, 6000, 609, 713, 1702, 267, 649, 666, 1732, 1489, 938, 1453, 543, 1053, 538, 741, 3460, 540, 3929, 2208, 543, 6043, 19403, 811, 454, 1321, 18467, 547, 6435, 4841, 3683, 2492, 5668, 27701, 29007, 454, 10743, 693, 1153, 1995, 782, 5686, 540, 17613, 1142, 1554, 269, 1879, 621, 782, 4991, 1932, 1454, 519, 2875, 781, 7180, 666, 1831, 4101, 269, 3371, 616, 476, 1321, 4052, 543, 2653, 3562, 14025, 2994, 585, 632, 268, 525, 5632, 908, 4101, 7180, 538, 519, 4928, 19403, 811, 454, 306, 29022, 12267, 585, 15706, 5438, 1329, 1424, 6751, 17162, 630, 3682, 11398, 1299, 13038, 4804, 5262, 2159, 625, 994, 1432, 2306, 513, 1650, 11576, 800, 286, 1548, 3483, 1281, 621, 4196, 1369, 519, 7981, 4065, 15858, 286, 1215, 798, 596, 2708, 513, 11576, 800, 9452, 779, 1871, 286, 901, 2376, 4145, 1312, 519, 3069, 543, 2259, 540, 11576, 800, 12267, 585, 2516, 540, 22996, 7680, 6751, 17162, 1369, 1022, 10661, 269, 2755, 519, 2376, 9607, 519, 3390, 540, 3351, 2358, 519, 11576, 800, 9452, 1935, 609, 2516, 267, 621, 1281, 711, 840, 2850, 922, 946, 609, 606, 1367, 3231, 1676, 4352, 930, 540, 519, 2553, 949, 2154, 513, 2370, 16369, 19403, 811, 454, 2419, 4069, 568, 513, 20429, 281, 14893, 9828, 585, 3687, 574, 2358, 20409, 328, 2293, 540, 19634, 333, 454, 16352, 2370, 610, 1100, 3903, 568, 1629, 6756, 532, 543, 814, 513, 2942, 1764, 593, 606, 10572, 781, 10866, 540, 5020, 269, 769, 713, 5816, 267, 649, 616, 2469, 547, 2263, 1412, 2419, 4069, 607, 513, 20429, 262, 547, 7668, 519, 1367, 609, 519, 1797, 547, 2769, 741, 7375, 2066, 741, 3232, 1272, 19403, 811, 454, 2750, 600, 1456, 519, 12706, 5455, 540, 17832, 7970, 2334, 8048, 547, 5668, 27701, 29007, 281, 589, 9608, 21887, 454, 1103, 713, 2376, 25414, 513, 1268, 609, 9659, 538, 1010, 3735, 13683, 625, 786, 2671, 1010, 2123, 5133, 4481, 593, 24970, 1027, 757, 543, 519, 991, 585, 2417, 19792, 960, 547, 1413, 3564, 519, 7525, 24970, 1027, 550, 269, 5502, 547, 1413, 693, 513, 2039, 540, 4259, 2621, 602, 1223, 723, 8329, 547, 519, 12136, 540, 19326, 602, 4161, 1866, 19403, 811, 0, 288, 26393, 4280, 803, 19108, 827, 8076, 908, 23278, 4925, 1700, 9767, 917, 1700, 29006, 8748, 2984, 596, 5531, 827, 875, 1018, 596, 4076, 2944, 814, 1500, 513, 3017, 538, 930, 2158, 1272, 888, 296, 15321, 3028, 547, 513, 1875, 17416, 4604, 630, 18314, 267, 2965, 264, 543, 519, 4604, 2818, 616, 2141, 10213, 2984, 827, 875, 968, 311, 814, 5949, 892, 543, 875, 968, 312, 729, 8748, 892, 2943, 267, 1250, 2976, 1807, 1582, 3081, 267, 968, 1692, 798, 596, 917, 9495, 901, 3587, 513, 6161, 585, 3906, 799, 798, 711, 723, 6268, 607, 851, 540, 741, 5692, 3948, 269, 5345, 534, 1498, 1082, 12545, 3180, 18177, 519, 15445, 10615, 267, 1906, 1118, 6268, 8763, 563, 291, 1157, 918, 745, 1122, 518, 2073, 945, 814, 2854, 827, 1445, 2516, 267, 849, 11339, 543, 2090, 519, 946, 540, 2984, 538, 6268, 543, 1454, 540, 1018, 594, 786, 2671, 609, 586, 685, 718, 2221, 568, 689, 1010, 960, 563, 5575, 267, 1018, 568, 513, 1650, 286, 595, 637, 6202, 630, 1220, 278, 267, 476, 273, 1196, 4700, 11225, 1650, 607, 968, 2507, 553, 11072, 602, 2627, 1282, 606, 5967, 538, 799, 519, 16045, 6257, 513, 3510, 267, 2356, 609, 513, 4098, 267, 513, 1647, 267, 543, 606, 1439, 267, 865, 602, 519, 11001, 666, 7001, 513, 2347, 2856, 543, 11753, 621, 267, 16856, 267, 883, 519, 12007, 2239, 6100, 918, 745, 1122, 518, 11840, 919, 593, 602, 2822, 842, 542, 676, 6031, 602, 513, 1650, 968, 2507, 1372, 1023, 609, 606, 1995, 540, 606, 2680, 267, 1982, 267, 3092, 269, 602, 814, 513, 1448, 610, 513, 3483, 1848, 9452, 15320, 689, 2013, 1353, 538, 602, 2013, 1353, 568, 513, 1650, 602, 13290, 547, 1174, 513, 1062, 267, 711, 606, 1367, 2680, 610, 1995, 282, 513, 1650, 9388, 609, 606, 1995, 602, 814, 513, 1448, 269, 12267, 1683, 1806, 540, 4295, 24866, 267, 540, 1713, 2621, 563, 2467, 616, 1896, 5301, 585, 2984, 602, 666, 581, 2808, 2976, 894, 269, 1452, 1331, 18995, 519, 2528, 267, 5009, 4295, 2418, 267, 23142, 543, 17923, 1699, 2528, 267, 3246, 6044, 630, 534, 1278, 1259, 547, 10141, 2528, 1070, 543, 30070, 267, 11121, 267, 543, 5924, 8716, 630, 15161, 1040, 12267, 666, 581, 540, 519, 1739, 2010, 281, 5869, 2984, 267, 1967, 2984, 267, 3992, 268, 3598, 2740, 2984, 267, 4295, 1871, 2984, 267, 2686, 2984, 267, 543, 3450, 2984, 563, 3383, 1946, 2995, 513, 1650, 286, 12267, 1118, 1344, 4443, 547, 3314, 267, 811, 1825, 15344, 267, 543, 7148, 883, 7553, 269, 1280, 2984, 547, 581, 23674, 630, 25075, 728, 17452, 1070, 606, 2976, 1807, 2115, 547, 3715, 7355, 585, 2984, 269, 918, 745, 1122, 518, 5267, 2947, 1114, 7355, 912, 268, 24956, 545, 1700, 529, 621, 5168, 995, 286, 1772, 972, 5168, 538, 519, 1650, 286, 630, 8855, 968, 13700, 3578, 892, 5673, 593, 875, 596, 1413, 693, 1945, 8094, 268, 7638, 16666, 1700, 529, 972, 513, 13009, 540, 2963, 1394, 547, 519, 2707, 286, 2052, 596, 1265, 713, 1650, 1586, 888, 268, 4762, 7808, 1700, 529, 972, 513, 991, 547, 1832, 519, 1650, 14804, 888, 268, 22731, 8247, 1700, 6343, 568, 519, 4493, 585, 519, 1650, 286, 1548, 12592, 10213, 519, 1650, 286, 543, 454, 268, 23830, 1700, 6343, 1281, 519, 1650, 2099, 286, 824, 1004, 286, 824, 6753, 286, 824, 3292, 888, 5629, 596, 723, 3964, 7355, 585, 519, 2984, 6394, 267, 972, 786, 991, 547, 581, 930, 1259, 547, 7001, 2984, 269, 1924, 1020, 513, 1544, 269, 12267, 991, 547, 581, 786, 5944, 3838, 267, 711, 1071, 518, 1027, 282, 13006, 543, 6592, 282, 543, 6394, 538, 513, 2318, 3510, 269, 11814, 532, 2984, 568, 606, 1383, 1141, 519, 20038, 585, 3425, 538, 1382, 1590, 581, 2808, 269, 3657, 519, 2984, 6394, 14804, 569, 286, 6496, 10213, 519, 2984, 1267, 538, 2370, 610, 1100, 1981, 286, 3657, 2984, 5143, 32380, 888, 5629, 519, 2984, 723, 1044, 6394, 267, 7421, 543, 8989, 1346, 2984, 568, 519, 3803, 1900, 269, 9453, 713, 267, 782, 519, 3105, 960, 729, 585, 562, 4381, 269, 901, 3803, 1900, 8076, 919, 519, 1650, 269, 595, 637, 6202, 2488, 3362, 3015, 5583, 585, 2079, 269, 0, 305, 565, 2401, 7358, 2209, 616, 519, 5347, 2627, 15888, 256, 1358, 7500, 5066, 619, 547, 11741, 543, 24609, 7252, 267, 971, 607, 9897, 543, 13210, 269, 2060, 741, 6791, 267, 789, 2327, 7123, 543, 14463, 4070, 7252, 602, 16641, 5230, 13907, 543, 4365, 2175, 563, 1432, 1281, 713, 2816, 4125, 888, 23330, 908, 513, 2039, 540, 5066, 619, 547, 11741, 7252, 454, 8139, 1114, 11934, 543, 4070, 2326, 547, 3035, 2838, 735, 9146, 4441, 454, 28444, 1005, 7252, 616, 5265, 5423, 585, 735, 9146, 454, 3849, 3286, 532, 16945, 5468, 585, 2500, 735, 9146, 454, 16729, 1808, 3270, 585, 6099, 735, 9146, 2164, 454, 3849, 17518, 547, 3106, 4808, 1282, 3684, 5106, 454, 3519, 2265, 532, 2834, 5826, 11974, 593, 519, 16945, 454, 10870, 867, 3215, 609, 4070, 610, 4155, 1212, 9749, 607, 2877, 454, 28444, 1005, 11741, 539, 7252, 2743, 5860, 543, 5347, 1145, 4441, 454, 1692, 798, 594, 1205, 883, 713, 4876, 888, 2414, 1831, 513, 6406, 14716, 17029, 2401, 7358, 1807, 267, 596, 2356, 2347, 513, 27466, 525, 1222, 269, 28678, 4170, 949, 4268, 267, 855, 12820, 3622, 2154, 5729, 476, 1015, 269, 0, 4263, 519, 1605, 22770, 5662, 593, 519, 1605, 22770, 1554, 540, 519, 1605, 22770, 3923, 540, 476, 4489, 279, 267, 606, 13778, 3184, 538, 1158, 1686, 729, 4547, 547, 513, 2673, 607, 519, 14022, 626, 823, 3357, 883, 1198, 267, 10678, 519, 1973, 338, 1117, 540, 519, 3689, 2622, 2782, 269, 769, 606, 8216, 267, 2185, 1296, 540, 29287, 13137, 267, 799, 1185, 18534, 9464, 519, 23786, 5251, 543, 3144, 6634, 540, 2729, 267, 30403, 269, 769, 5507, 602, 1554, 267, 519, 9576, 7731, 7902, 593, 519, 2545, 935, 344, 540, 21207, 532, 5069, 20066, 513, 1297, 540, 2053, 607, 5215, 10356, 538, 519, 26864, 547, 8661, 519, 3377, 267, 741, 8188, 620, 697, 609, 513, 3575, 540, 795, 889, 7976, 543, 14436, 8323, 269, 769, 1200, 19701, 602, 10543, 267, 10348, 6307, 267, 519, 10348, 3117, 677, 547, 3751, 6723, 966, 267, 3576, 547, 1200, 19701, 547, 3561, 519, 1554, 779, 4090, 748, 10207, 563, 763, 4144, 776, 28678, 454, 1556, 8734, 476, 4489, 279, 454, 291, 1638, 1101, 267, 4764, 538, 519, 12784, 269, 634, 6574, 1554, 538, 519, 1158, 779, 1686, 269, 634, 6186, 626, 823, 729, 9896, 693, 476, 276, 600, 1299, 8165, 30403, 693, 476, 1556, 269, 1133, 2193, 14880, 3357, 547, 14254, 267, 1299, 693, 476, 1556, 269, 649, 4682, 593, 547, 519, 2545, 935, 344, 547, 26250, 519, 1804, 15624, 799, 1185, 4646, 3544, 269, 2311, 476, 1321, 269, 1789, 269, 649, 4682, 856, 1586, 1299, 519, 2527, 539, 13164, 540, 519, 2871, 1841, 5129, 519, 2817, 4165, 1335, 1299, 13348, 5328, 8964, 267, 1299, 519, 1884, 1335, 540, 519, 27469, 269, 670, 4007, 24921, 1299, 1454, 15131, 269, 2311, 476, 274, 269, 1428, 649, 22755, 547, 519, 4975, 538, 519, 26311, 4764, 1299, 1185, 513, 14952, 331, 748, 21200, 269, 634, 2818, 540, 519, 1920, 3357, 547, 7401, 1299, 1287, 930, 26146, 3722, 306, 267, 654, 305, 27602, 3092, 269, 3357, 1299, 31025, 13348, 5328, 8964, 269, 1924, 8799, 540, 873, 269, 634, 11788, 10579, 3357, 547, 1294, 721, 693, 476, 278, 269, 1133, 2193, 14880, 1299, 623 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5876, 16382, 707, 31910, 1206, 979, 256, 8414, 13167, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4537, 27553, 568, 513, 1655, 5498, 29818, 2278, 543, 7376, 1634, 585, 1200, 19918, 1688, 1673, 22148, 25879, 1148, 6272, 269, 2701, 814, 1044, 5373, 543, 4484, 532, 24015, 2094, 476, 1001, 275, 1310, 6028, 1200, 3450, 4876, 547, 1831, 513, 3251, 27408, 25571, 544, 4821, 269, 1548, 3323, 607, 513, 3860, 17752, 543, 2427, 3620, 755, 548, 267, 3533, 2968, 513, 2407, 942, 1870, 269, 1677, 713, 1554, 267, 1352, 4891, 609, 1896, 3549, 267, 1519, 744, 2464, 291, 267, 602, 16196, 543, 6133, 1200, 960, 538, 1585, 12043, 269, 3414, 891, 21769, 267, 1200, 960, 814, 1044, 4421, 538, 8637, 2066, 519, 4182, 543, 11451, 269, 4173, 1655, 5498, 29818, 1433, 27302, 4750, 1280, 6468, 10905, 1200, 5132, 543, 7499, 2511, 267, 543, 814, 4421, 936, 476, 16020, 267, 1822, 12215, 5001, 563, 4537, 27553, 2729, 538, 15930, 609, 1200, 9393, 543, 1614, 1453, 267, 543, 21593, 9363, 3742, 609, 873, 13964, 269, 1677, 1451, 811, 827, 1744, 27553, 543, 1200, 960, 267, 596, 666, 3643, 1200, 7270, 519, 3369, 527, 601, 830, 269, 1115, 344, 2593, 543, 519, 3369, 527, 601, 830, 2593, 543, 1246, 1200, 593, 17749, 7711, 3333, 27553, 549, 828, 1206, 866, 563, 17098, 256, 3733, 2012, 568, 8341, 928, 267, 594, 6557, 513, 844, 2830, 4806, 543, 5958, 14704, 689, 634, 13291, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5226, 559, 1154, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 10261, 548, 1740, 1315, 4937, 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, 3848, 476, 1626, 281, 772, 25233, 16711, 910, 14171, 5516, 540, 3776, 7984, 2435, 3590, 692, 5970, 596, 2479, 9289, 875, 938, 4703, 1205, 7759, 540, 3653, 286, 4270, 267, 835, 1271, 1062, 602, 2337, 721, 798, 713, 568, 1572, 519, 17256, 1062, 256, 901, 1062, 2882, 707, 14401, 267, 23443, 1562, 267, 15485, 267, 543, 23443, 628, 571, 267, 543, 621, 1568, 2182, 1169, 1554, 547, 4894, 5277, 3653, 689, 707, 1560, 269, 1879, 1945, 4422, 4636, 609, 713, 1062, 267, 971, 607, 950, 2576, 4991, 513, 17256, 8778, 3968, 630, 308, 2316, 1070, 602, 781, 1141, 11923, 945, 20647, 538, 579, 14347, 2097, 538, 2439, 3383, 1018, 1281, 513, 579, 25233, 12016, 798, 4010, 286, 1452, 616, 3810, 8036, 2564, 4648, 945, 948, 1491, 1416, 540, 2550, 609, 2042, 1644, 547, 741, 17256, 1949, 269, 2368, 1455, 2152, 789, 1522, 1294, 1331, 8459, 10007, 267, 15485, 5563, 267, 543, 1256, 2860, 540, 519, 17256, 8219, 269, 1677, 1831, 513, 579, 25233, 12016, 267, 891, 2043, 1590, 2347, 7463, 2866, 543, 2069, 3564, 1018, 568, 2838, 585, 2834, 8808, 780, 4131, 781, 2263, 930, 540, 519, 2081, 602, 579, 25233, 11923, 1522, 960, 609, 2550, 1384, 265, 2878, 10112, 612, 906, 5093, 3807, 899, 1022, 824, 1826, 540, 12016, 267, 579, 25233, 11923, 1376, 676, 12570, 741, 3461, 781, 2949, 1072, 269, 1358, 786, 2307, 2055, 827, 2589, 267, 1685, 2168, 18362, 267, 543, 949, 1931, 4255, 899, 10729, 5439, 610, 9196, 18767, 547, 1732, 1174, 1018, 781, 2469, 593, 3330, 519, 1560, 563, 265, 2878, 21675, 4566, 5093, 4495, 513, 5868, 814, 1044, 1500, 267, 579, 25233, 11923, 1404, 513, 1883, 1909, 538, 3384, 2126, 4566, 269, 13689, 593, 519, 3390, 267, 5574, 1223, 2039, 689, 6646, 547, 6391, 269, 1306, 851, 540, 519, 1416, 2319, 267, 579, 25233, 11923, 2327, 602, 2550, 4628, 1174, 741, 2783, 543, 1246, 998, 609, 11311, 11257, 563, 265, 2878, 15031, 1304, 2069, 5093, 3447, 908, 2550, 827, 741, 2175, 543, 23833, 3800, 568, 1776, 2565, 2460, 540, 579, 25233, 8808, 269, 1635, 3450, 1004, 875, 547, 2226, 1434, 17256, 1072, 267, 11923, 666, 948, 2569, 519, 1981, 540, 2104, 2042, 269, 11762, 1522, 1331, 1697, 20697, 267, 1434, 19880, 6208, 267, 543, 9301, 4191, 540, 1761, 8374, 563, 265, 2878, 306, 29864, 6351, 5093, 1403, 6391, 3587, 2556, 267, 579, 25233, 11923, 1419, 4217, 1282, 5773, 269, 6787, 29780, 588, 757, 267, 9427, 12970, 267, 610, 28472, 8697, 8219, 267, 891, 11923, 1683, 1898, 1489, 1354, 267, 1282, 267, 543, 1310, 4238, 780, 3080, 1383, 540, 606, 3919, 6131, 547, 5355, 2146, 1072, 998, 2298, 3119, 1416, 2533, 568, 1230, 10113, 22512, 269, 2060, 936, 476, 2004, 1296, 7674, 14642, 933, 2998, 6019, 543, 922, 10450, 267, 1230, 10113, 22512, 3091, 1585, 3102, 3782, 2533, 267, 1519, 579, 25233, 1416, 269, 4256, 6131, 5234, 2488, 17519, 267, 10531, 3007, 547, 1142, 1268, 6972, 998, 741, 9885, 267, 4180, 3025, 11392, 519, 1655, 2009, 1416, 780, 1103, 3932, 267, 579, 25233, 8808, 4249, 513, 4105, 1909, 538, 4509, 938, 2949, 8171, 269, 3414, 4879, 267, 2126, 4058, 267, 3461, 2069, 267, 543, 10551, 6351, 267, 891, 12665, 3565, 3648, 547, 5329, 938, 17256, 1949, 8647, 7157, 269, 1656, 3906, 899, 1230, 10113, 22512, 3136, 2324, 24091, 2509, 7393, 10333, 543, 26622, 540, 1164, 7779, 3782, 2533, 1369, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 8772, 5993, 14642, 933, 2998, 2657, 7690, 717, 8403, 267, 799, 729, 873, 539, 968, 288, 2295, 342, 9879, 3781, 540, 25894, 543, 6667, 892, 729, 4986, 21183, 540, 5863, 563, 1607, 4421, 13050, 2680, 267, 799, 729, 18799, 693, 7502, 10087, 24529, 654, 10320, 267, 1185, 476, 29720, 14538, 538, 20343, 543, 6659, 811, 982, 1269, 14983, 267, 1822, 593, 8734, 269, 476, 1556, 547, 1489, 2199, 3782, 543, 519, 9241, 2813, 14642, 933, 2998, 2657, 7690, 7736, 578, 618, 8750, 563, 7628, 519, 1982, 267, 14642, 933, 2998, 2657, 4843, 1614, 20380, 17758, 1519, 7991, 31313, 267, 4284, 6509, 540, 519, 5729, 543, 29237, 540, 519, 5729, 563, 763, 476, 1708, 274, 7991, 31313, 13815, 729, 4843, 547, 1230, 10113, 22512, 269, 1280, 811, 982, 476, 2004, 1296, 267, 1230, 10113, 22512, 814, 1044, 3246, 513, 1920, 15129, 3782, 2259, 585, 14642, 933, 2998, 543, 4478, 10315, 7264, 269, 1358, 2709, 513, 3099, 540, 3102, 1072, 1416, 2533, 538, 513, 12905, 543, 3608, 6073, 267, 782, 3177, 676, 741, 1330, 974, 748, 543, 3318, 5234, 269, 634, 4099, 568, 13234, 676, 513, 4357, 267, 13148, 10480, 518, 958, 14102, 1875, 17416, 3919, 18170, 676, 513, 15321, 4604, 540, 19971, 563, 3519, 928, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 308, 25233, 16711, 257, 607, 851, 540, 834, 25503, 1315, 16711, 1315, 6481, 1299, 13880, 673, 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, 3848, 476, 272, 281, 4985, 547, 20348, 3557, 594, 9582, 543, 922, 10241, 692, 1103, 713, 3184, 267, 649, 786, 6338, 519, 1523, 540, 4396, 1533, 9357, 923, 630, 7704, 296, 264, 543, 2263, 875, 621, 12211, 547, 3114, 5114, 6384, 538, 1585, 3457, 269, 1284, 786, 849, 4983, 930, 540, 519, 1883, 3156, 540, 9399, 296, 267, 1519, 4396, 12547, 4492, 543, 14793, 3974, 2281, 267, 4396, 1533, 9075, 267, 15449, 566, 17011, 267, 3154, 8596, 267, 543, 1509, 2077, 832, 780, 4263, 922, 4295, 267, 9399, 296, 3322, 519, 1353, 540, 2527, 543, 5279, 3560, 538, 17571, 267, 4481, 538, 2326, 602, 2932, 12274, 2864, 982, 9211, 269, 1452, 2326, 666, 581, 9286, 607, 2901, 25617, 610, 6404, 25617, 3887, 937, 3055, 26423, 267, 4470, 593, 2436, 789, 5097, 2932, 2318, 12274, 630, 322, 725, 1070, 2942, 12274, 630, 534, 687, 1070, 610, 1312, 269, 634, 2702, 540, 891, 2326, 547, 7520, 25617, 26634, 814, 1271, 6286, 585, 513, 2647, 2039, 540, 6639, 3156, 267, 3226, 1346, 5473, 1648, 7503, 543, 4859, 780, 3080, 1858, 1141, 9399, 296, 4249, 513, 2629, 1909, 568, 538, 519, 1646, 540, 782, 1606, 13521, 15581, 9075, 269, 12465, 16864, 23760, 9075, 7048, 593, 5277, 32690, 547, 5512, 9357, 4483, 1063, 519, 30932, 543, 606, 1712, 269, 1717, 267, 891, 15559, 666, 581, 19979, 543, 1166, 30100, 267, 30286, 3106, 4145, 269, 769, 4334, 267, 4396, 15581, 9075, 946, 4396, 23386, 2326, 3079, 267, 799, 2709, 4824, 6617, 543, 2362, 1648, 24186, 269, 1635, 4974, 519, 6127, 540, 9357, 3560, 538, 891, 4396, 2326, 267, 3173, 4126, 547, 1374, 811, 3608, 543, 10930, 6007, 1949, 780, 5194, 1383, 540, 9399, 296, 781, 2956, 6013, 538, 519, 7706, 540, 3154, 15392, 269, 3509, 4853, 3157, 5352, 5739, 9362, 602, 1590, 581, 16913, 543, 6417, 547, 2327, 11832, 3106, 543, 2825, 4027, 269, 13937, 8596, 1500, 1210, 25617, 610, 6404, 25617, 3887, 937, 3055, 26423, 666, 28729, 3713, 1808, 9362, 676, 29227, 2242, 538, 5122, 4187, 3361, 676, 9357, 9194, 1369, 519, 9300, 1570, 269, 4197, 519, 2188, 602, 3310, 9357, 10688, 538, 891, 2326, 666, 1291, 547, 1732, 9300, 2773, 543, 2799, 8417, 780, 15228, 1842, 807, 899, 519, 834, 1708, 271, 11354, 20051, 281, 20348, 1533, 9357, 923, 281, 4359, 2035, 543, 3457, 257, 5031, 519, 5767, 7835, 538, 9399, 296, 1382, 543, 13686, 6932, 4066, 3710, 2390, 713, 5748, 269, 1306, 596, 1224, 998, 7766, 11271, 267, 1832, 538, 2247, 519, 1761, 1764, 540, 9399, 296, 593, 938, 3232, 2729, 543, 519, 3078, 7399, 1869, 7996, 547, 581, 4362, 780, 6637, 476, 273, 281, 26386, 540, 594, 4577, 1230, 9134, 692, 2414, 1174, 519, 2623, 540, 25617, 26423, 4628, 267, 649, 991, 1101, 547, 5490, 883, 519, 9238, 540, 25617, 5163, 538, 17571, 269, 901, 3184, 6227, 1898, 3741, 12044, 25617, 18236, 267, 1519, 24775, 2497, 267, 8919, 7998, 267, 543, 11852, 19367, 780, 1103, 1022, 2016, 12627, 24775, 267, 972, 2291, 1448, 12889, 1107, 12150, 885, 538, 519, 6382, 1931, 569, 11460, 540, 8444, 610, 12274, 269, 1280, 3236, 267, 7477, 17473, 2049, 950, 606, 11046, 610, 9357, 568, 7508, 689, 922, 8912, 2990, 267, 1247, 26300, 527, 10118, 8451, 950, 606, 3063, 9325, 26328, 606, 8900, 2230, 1063, 2834, 4609, 269, 5637, 2010, 540, 12889, 1404, 2565, 5107, 538, 7175, 9357, 3350, 2429, 519, 24775, 780, 2691, 6236, 25617, 18236, 267, 1079, 3119, 3631, 4766, 519, 1184, 281, 519, 4351, 3802, 2203, 543, 519, 7914, 2557, 2203, 269, 4340, 547, 519, 4351, 3802, 2203, 267, 12274, 5577, 14477, 1063, 2139, 4609, 1369, 519, 24775, 1739, 513, 3126, 540, 4608, 528, 22366, 3268, 269, 11531, 267, 519, 7914, 2557, 2203, 6212, 593, 1367, 26357, 1063, 15231, 4609, 543, 6589, 585, 4632, 899, 3801, 4908, 543, 11852, 1648, 2838, 585, 3811, 13289, 269, 8625, 267, 891, 10850, 1683, 3407, 4030, 883, 875, 12274, 6330, 1950, 26543, 5054, 780, 8139, 519, 2078, 1063, 11852, 1648, 543, 25617, 19428, 568, 1776, 1898, 2460, 540, 9399, 296, 269, 2920, 10474, 1648, 4016, 547, 519, 5934, 1648, 11064, 602, 1590, 581, 7753, 585, 606, 9357, 547, 1847, 689, 835, 3135, 547, 1776, 269, 14451, 11852, 19367, 5330, 547, 2539, 25617, 2932, 8481, 2094, 7864, 5536, 4865, 6190, 8143, 1648, 547, 1147, 25236, 519, 7496, 19459, 11105, 4609, 269, 11790, 12018, 11852, 19367, 1331, 24775, 1826, 267, 6125, 4222, 267, 543, 519, 4527, 540, 23606, 610, 17585, 1218, 780, 3528, 6313, 891, 13654, 2035, 5702, 267, 649, 2744, 4514, 5813, 883, 519, 6946, 7544, 540, 12274, 1369, 4396, 15581, 2326, 1107, 1702, 602, 5713, 607, 513, 5614, 4580, 585, 3695, 4359, 3584, 2663, 538, 713, 1433, 780, 263, 9616, 281, 9603, 547, 29571, 2750, 4219, 781, 3259, 7687, 267, 5225, 3136, 2542, 519, 6967 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1297, 540, 5563, 729, 3592, 476, 276, 269, 279, 2929, 563, 8170, 1576, 267, 782, 1072, 7194, 616, 4299, 676, 519, 9993, 1282, 519, 4856, 7431, 6855, 269, 7324, 824, 1919, 267, 7864, 1004, 4682, 547, 519, 4387, 1317, 540, 9376, 23957, 610, 4250, 540, 3968, 563, 6097, 547, 14959, 7194, 267, 476, 272, 269, 277, 2929, 1004, 5747, 689, 19505, 2063, 1032, 267, 1310, 476, 272, 269, 276, 2929, 538, 476, 1708, 271, 543, 476, 272, 269, 275, 2929, 538, 476, 1001, 280, 269, 634, 1297, 540, 1007, 2665, 829, 476, 1911, 267, 1822, 2551, 2799, 676, 476, 274, 269, 277, 2600, 538, 476, 1708, 272, 3379, 547, 476, 1708, 271, 267, 1310, 621, 1185, 15468, 676, 827, 476, 273, 2600, 3592, 1169, 1032, 585, 519, 2250, 476, 736, 1296, 269, 634, 14959, 12194, 602, 519, 6739, 2112, 1996, 12907, 543, 7526, 538, 4000, 543, 519, 5664, 5101, 1223, 22652, 519, 3510, 563, 14654, 828, 17533, 568, 835, 540, 519, 1034, 1455, 11763, 3676, 269, 898, 568, 10299, 689, 1268, 547, 1268, 676, 11375, 2718, 11763, 20256, 269, 634, 4551, 2356, 1205, 883, 519, 9641, 267, 855, 666, 849, 3468, 824, 8219, 269, 898, 3006, 9397, 856, 1296, 1310, 606, 3968, 267, 543, 827, 3368, 540, 1346, 7783, 5884, 1510, 2126, 269, 1809, 621, 568, 28824, 543, 524, 9092, 269, 898, 568, 20468, 602, 519, 13596, 616, 5051, 3384, 4187, 547, 519, 2965, 3811, 11216, 563, 8310, 1032, 267, 1472, 476, 14596, 267, 1822, 1004, 941, 8995, 609, 19505, 602, 1705, 711, 4431, 547, 519, 1455, 15084, 267, 20711, 2086, 545, 514, 269, 2334, 729, 1614, 2600, 811, 982, 519, 1032, 1354, 563, 1103, 519, 1101, 1032, 540, 519, 11452, 630, 1708, 271, 1070, 519, 1297, 540, 1004, 8995, 609, 19505, 1185, 12628, 3648, 267, 27229, 1317, 540, 519, 3908, 11564, 547, 519, 16758, 269, 2334, 814, 4824, 267, 855, 519, 1297, 568, 1869, 2630, 840, 1790, 663, 2438, 2157, 267, 519, 14959, 5206, 269, 2701, 20147, 602, 811, 1004, 616, 7783, 1510, 6616, 621, 543, 666, 3468, 1866, 269, 634, 476, 1789, 2477, 609, 1164, 1651, 573, 1878, 1331, 8478, 267, 3624, 267, 3127, 543, 3162, 4000, 563, 28490, 649, 960, 1927, 267, 649, 666, 21061, 1439, 2223, 1767, 14959, 8783, 23413, 4592, 1520, 7315, 558, 717, 515, 3691, 344, 4615, 269, 634, 14959, 7125, 585, 811, 5092, 538, 1072, 3292, 543, 1007, 10074, 269, 0, 16449, 519, 7887, 2042, 540, 2221, 781, 1158, 649, 666, 2446, 7050, 3653, 5108, 543, 519, 1648, 6433, 269, 634, 3070, 547, 1312, 2042, 666, 581, 6462, 676, 12998, 6954, 2029, 540, 3653, 6954, 11919, 3154, 2305, 269, 898, 3322, 519, 4393, 540, 3653, 630, 324, 3052, 269, 18513, 267, 4853, 267, 1519, 13818, 3653, 267, 21137, 31993, 264, 693, 513, 2837, 1657, 476, 9873, 271, 22966, 857, 639, 5232, 883, 10282, 3154, 585, 519, 2504, 540, 5201, 543, 7250, 563, 4002, 5239, 476, 1839, 267, 476, 1708, 273, 538, 5696, 345, 1122, 267, 5520, 267, 12854, 1053, 543, 17985, 295, 2475, 307, 1053, 1185, 519, 4316, 547, 1451, 827, 519, 7811, 13210, 540, 971, 513, 2029, 267, 607, 1134, 607, 1294, 513, 8647, 10380, 538, 799, 21137, 31993, 568, 9268, 883, 10282, 3154, 269, 634, 6881, 729, 1500, 676, 570, 5557, 345, 8751, 322, 5414, 330, 689, 519, 661, 14150, 10326, 2754, 563, 763, 2640, 540, 1210, 11919, 4066, 1331, 912, 15132, 983, 3653, 2359, 267, 3976, 9494, 2200, 2676, 516, 9134, 540, 3653, 6740, 538, 26071, 2676, 516, 9134, 540, 3653, 4859, 3790, 2676, 24479, 610, 7250, 2707, 563, 2171, 1131, 899, 547, 9684, 782, 5171, 585, 741, 4527, 543, 649, 5000, 873, 547, 7119, 538, 824, 5721, 902, 6035, 607, 851, 540, 661, 15288, 8656, 269, 0, 306, 6295, 32568, 4834, 454, 1103, 713, 5816, 2022, 267, 649, 786, 2263, 835, 1505, 540, 14572, 32568, 4834, 269, 1924, 1577, 781, 1205, 3323, 2336, 24169, 32568, 4834, 454, 2467, 616, 513, 2603, 540, 1390, 8924, 856, 972, 547, 948, 1053, 609, 741, 1153, 960, 585, 14572, 32568, 4834, 269, 14572, 13392, 4834, 676, 28809, 568, 513, 1184, 602, 666, 581, 1031, 547, 1265, 519, 5072, 540, 513, 13392, 3830, 269, 634, 5072, 540, 513, 13392, 3830, 616, 519, 2418, 540, 1535, 602, 1118, 519, 3830, 3020, 269, 1677, 4194, 513, 13392, 3830, 676, 28809, 267, 596, 991, 547, 3815, 519, 13392, 4082, 883, 1079, 5276, 7215, 269, 1411, 1287, 1305, 1142, 5276, 4082, 3160, 547, 4642, 543, 4194, 585, 1535, 269, 634, 3435, 786, 581, 519, 5072, 540, 519, 3312, 13392, 3830, 269, 769, 930, 2665, 267, 596, 949, 991, 547, 946, 519, 28065, 16754, 547, 4194, 519, 3830, 269, 634, 28065, 16754, 666, 581, 1031, 547, 1265, 519, 5072, 540, 1022, 13392, 3830, 267, 7488, 540, 2436, 610, 711, 621, 666, 581, 1249, 1819, 269, 1717, 267, 6061, 676, 28809, 568, 1419, 5488, 543, 12863, 982, 1210, 519, 28065, 16754, 269, 4475, 267, 621, 568, 2141, 4502, 3843, 547, 3815, 513, 13392, 4082, 1354, 759, 15659, 547, 519, 28065, 16754, 563, 288, 11186, 3830, 568, 606, 3830, 602, 12211, 513, 1599, 609, 835, 610, 811, 540, 922, 16755, 269, 769, 1931, 547, 4194, 513, 11186, 3830, 267, 649, 1590, 1101, 1265, 519, 2489, 3070, 267, 799, 568, 513, 1599, 602, 25389, 519, 3830, 585, 782, 2418, 540, 519, 4756, 269, 634, 2489, 3070, 786, 2356, 2270, 835, 610, 811, 17062, 21635, 267, 799, 666, 581, 5462, 676, 1210, 10465, 2175, 269, 589, 10465, 2783, 568, 513, 2783, 602, 1590, 581, 13854, 676, 519, 3070, 693, 513, 1880, 1448, 269, 4495, 649, 723, 1336, 519, 2489, 3070, 543, 5462, 519, 2418, 540, 519, 17062, 21635, 267, 649, 666, 12990, 891, 2418, 1394, 883, 519, 3070, 547, 1205, 519, 1880, 3070, 269, 27018, 4834, 616, 1031, 538, 1082, 1114, 2127, 540, 2257, 267, 971, 607, 6323, 267, 4702, 267, 543, 9297, 269, 769, 1142, 2013, 267, 789, 666, 948, 721, 547, 2203, 543, 1174, 7294, 9259, 563, 288, 32568, 3830, 24626, 568, 513, 6310, 1907, 602, 2636, 596, 547, 4194, 4834, 5473, 17969, 916, 269, 901, 1826, 540, 3830, 1419, 14340, 538, 4610, 971, 607, 6323, 543, 4702, 267, 1141, 12825, 3252, 616, 4122, 1031, 269, 634, 32568, 3830, 24626, 666, 581, 1031, 547, 1265, 519, 1871, 540, 1535, 585, 1022, 2016, 1871, 540, 586, 269, 1280, 1383, 267, 952, 596, 917, 602, 586, 815, 8421, 3287, 1070, 596, 666, 946, 519, 32568, 3830, 24626, 547, 1265, 519, 1871, 540, 1535, 602, 14687, 547, 586, 269, 901, 666, 581, 3730, 538, 3871, 1141, 596, 991, 547, 4194, 606, 3830, 855, 798, 711, 723, 1569, 547, 513, 9498, 610, 824, 2645, 602, 1131, 1450, 596, 547, 1685, 519, 2556, 9273, 269, 634, 32568, 3830, 24626, 666, 849, 581, 1031, 547, 2638, 707, 960, 950, 6061, 4834, 676, 1688, 269, 769, 2489, 267, 519, 32568, 3830, 24626, 568, 513, 3407, 1907, 585, 4896, 945, 2115, 547, 960, 609, 17969, 916, 593, 513, 2834, 4493, 563, 13043, 14581, 948, 568, 1945, 1169, 2979, 2875, 2115, 693, 930, 1448, 1282, 741, 4081, 4876, 269, 4569, 666, 581, 513, 2352, 1641, 585, 930, 1053, 267, 543, 3257, 6780, 666, 581, 513, 32462, 543, 942, 21791, 1184, 269, 24664, 1176, 267, 972, 616, 513, 1297, 540, 2200, 2139, 547, 948, 2979, 1053, 609, 741, 6780, 269, 6732, 2200, 971, 607, 4569, 3118, 543, 16679, 9142, 2709, 1900, 8386, 9912, 3435, 547, 2042, 267, 607, 1134, 607, 2259, 5751, 543, 3381, 4245, 269, 769, 1840, 267, 1082, 3610, 2709, 1310, 17469, 6780, 948, 7886, 267, 543, 972, 616, 1419, 21493, 2139, 998, 1153, 13102, 610, 2199, 3906, 269, 2060, 513, 2370, 4674, 267, 1022, 2979, 2875, 666, 1205, 519, 948, 789, 991, 547, 8011, 563, 306, 6295, 585, 606, 20800, 666, 581, 513, 16602, 1870, 267, 855, 972, 616, 513, 1906, 4388, 543, 15361, 602, 666, 1118, 519, 1184, 513, 2370, 3787, 4443, 269, 3689, 540, 782, 267, 621, 781, 1271, 547, 3314, 602, 606, 20800, 568, 3274, 513, 1297, 602, 6645, 721, 875, 1082, 2053, 513, 2016, 1297, 568, 16611, 676, 3294, 269, 1280, 3236, 267, 952, 649, 723, 519, 1297, 476, 273, 6659, 547, 519, 476, 274, 6113, 1379, 267, 602, 1797, 602, 476, 273, 568, 1373, 16611, 676, 3294, 476, 274, 2053, 269, 769, 824, 1913, 267, 476, 273, 317, 274, 815, 476, 273, 1535, 476, 273, 1535, 476, 273, 269, 14572, 585, 606, 20800, 3274, 1797, 4466, 856, 1018, 1297, 649, 1131, 991, 547, 6318, 1776, 1297, 547, 538, 1931, 547, 1205, 938, 3312, 1297, 269, 1280, 3236, 267, 952, 649, 4941, 547, 4194, 585, 519, 20800, 538, 519, 3830, 476, 279, 815, 476, 273, 28682, 267, 649, 1131, 3274, 991, 547, 4137, 856, 1018, 1297, 649, 1131, 991, 547, 6318, 476, 273, 547, 538, 1931, 547, 1205, 476, 279, 269, 769, 713, 2013, 267, 519, 2626, 1131, 581, 476, 274, 267, 2094, 476, 273, 317, 274, 815, 476, 279, 269, 2986, 1576, 267, 711, 782, 20800, 2042, 786, 581, 3833, 865, 2241, 269, 1717, 267, 609, 513, 2370, 2259, 543, 16177, 267, 6061, 585, 606, 20800, 666, 581, 513, 30089, 2336, 2171, 3382, 782, 2010, 540, 2979, 2042, 454, 8110, 2739, 267, 621, 711, 1152, 3947, 596, 4267, 267, 855, 1900, 676, 1900, 2409, 269, 1403, 519, 8254, 1599, 3884, 1406, 2324, 267, 596, 666, 3442, 547, 946, 519, 1826, 1599, 1141, 596, 666, 1175, 1826, 538, 519, 2040, 269, 11146, 519, 813, 594, 6415, 476, 1015, 543, 1810, 1405, 2731, 917, 2979, 855, 713, 2337, 803, 865, 1454, 8627, 5863, 813, 454, 300, 1228, 1250, 13878, 14176, 5020, 2241, 269, 700, 3437, 713, 813, 607, 621, 814, 1082, 540, 519, 2934, 602, 2306, 9819, 1360, 2653, 543, 814, 513, 1360, 7317, 30892, 269, 901, 568, 1317, 594, 6836, 824, 1644, 8924, 543, 1336, 602, 621, 779, 9157, 547, 946, 741, 2200, 269, 1809, 519, 813, 568, 1259, 1932, 2241, 269, 594, 1131, 2648, 547, 723, 606, 813, 12719, 1950, 2042, 538, 6323, 269, 11289, 596, 256, 0, 15612, 639, 1966, 24626, 609, 3268, 454, 2171, 3513, 1683, 930, 4388, 547, 948, 596, 2824, 519, 1655, 20145, 1966, 24626, 609, 3268, 585, 707, 2115, 269, 1284, 666, 948, 803, 609, 2979, 960, 563, 763, 7454, 20145, 1966, 24626, 609, 3268, 454, 15612, 639, 1966, 24626, 609, 3268, 666, 1489, 10453, 547, 1174, 519, 1570, 543, 2087, 741, 9344, 269, 3689, 267, 621, 568, 1271, 547, 1224, 519, 1966, 5402, 543, 2697, 519, 1883, 1344, 269, 5822, 267, 1053, 1058, 2015, 1018, 1826, 540, 5106, 789, 991, 547, 946, 547, 4194, 519, 1966, 269, 12059, 267, 789, 1058, 960, 998, 519, 1966, 1900, 8386, 9912, 267, 1210, 1142, 4062, 540, 1344, 1152, 2899, 269, 1635, 1739, 891, 3268, 267, 1053, 786, 581, 1732, 5423, 547, 10994, 1256, 519, 1034, 4101, 2979, 2042, 563, 306, 6295, 11186, 4834, 568, 513, 2629, 1907, 538, 1082, 2127, 540, 2257, 543, 4702, 269, 1717, 267, 519, 1184, 666, 581, 711, 528, 13124, 2352, 267, 1419, 8506, 1950, 6310, 2553, 269, 30586, 267, 972, 616, 1631, 513, 1297, 540, 2228, 2645, 602, 666, 948, 547, 16534, 11186, 4834, 3533, 543, 3362, 269, 1452, 2645, 946, 513, 3099, 540, 2409, 547, 16534, 519, 3830, 267, 1519, 10230, 5610, 543, 10763, 2409, 269, 769, 1034, 2665, 267, 782, 596, 991, 547, 798, 568, 4283, 519, 3830, 543, 519, 5551, 2039, 267, 543, 519, 1907, 786, 16534, 621, 585, 596, 269, 7454, 540, 782, 267, 891, 2645, 616, 2356, 1863, 547, 946, 267, 1818, 873, 513, 3407, 4199, 585, 1053, 543, 4648, 7567, 563, 5226, 7310, 1738, 4834, 616, 513, 1455, 1826, 540, 15821, 3830, 602, 666, 581, 2352, 547, 4194, 269, 1717, 267, 972, 616, 513, 1297, 540, 28065, 3830, 1151, 951, 602, 666, 948, 547, 1118, 519, 1184, 4443, 269, 1452, 1151, 951, 786, 3335, 1683, 513, 1900, 8386, 9912, 3070, 267, 1818, 621, 2653, 547, 1294, 875, 547, 4194, 519, 3830, 269, 769, 1840, 267, 930, 28065, 3830, 1151, 951, 786, 849, 1683, 513, 3308, 6041, 540, 519, 3070, 267, 799, 666, 581, 5363, 538, 1620, 519, 1523, 269, 1703, 616, 513, 1297, 540, 28065, 3830, 1151, 951, 2139, 2228, 267, 543, 1082, 540, 873, 616, 1863, 547, 946, 563, 763, 5072, 540, 519, 3830, 616, 1287, 1336, 676, 6061, 519, 28065, 16754, 269, 634, 29236, 24626, 1287, 13602, 519, 2798, 593, 513, 3113, 543, 8220 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5286, 28460, 18828, 27904, 17635, 4917, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 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, 7689, 281, 13555, 23317, 910, 4197, 1215, 12085, 25291, 2439, 5970, 596, 2479, 2219, 827, 875, 1079, 3615, 5905, 1142, 824, 286, 2311, 1101, 16145, 267, 621, 1522, 3100, 899, 513, 2241, 1523, 267, 855, 972, 781, 2965, 513, 2603, 2469, 593, 1063, 1079, 1919, 950, 789, 2097, 883, 3346, 256, 901, 7936, 540, 6323, 568, 1572, 834, 4186, 716, 11707, 2437, 543, 649, 3513, 2263, 930, 2596, 2035, 1927, 269, 1635, 1620, 891, 3741, 267, 649, 666, 5660, 875, 938, 1158, 1568, 538, 1007, 543, 4241, 2081, 2439, 5331, 8066, 513, 17891, 4904, 609, 2011, 269, 1403, 596, 9900, 2046, 1776, 1843, 1996, 621, 267, 596, 786, 5469, 1945, 4277, 8345, 1107, 519, 17891, 632, 13257, 630, 528, 2242, 3337, 264, 5594, 1354, 4947, 1394, 547, 922, 3312, 1106, 2899, 596, 4894, 519, 5007, 3196, 269, 901, 7613, 4386, 1317, 519, 17891, 1570, 2833, 2566, 950, 621, 2501, 883, 3346, 609, 1776, 2627, 269, 13262, 4016, 547, 519, 4835, 4229, 9117, 1369, 513, 1560, 1813, 547, 5007, 2188, 780, 3086, 1577, 781, 1589, 827, 513, 12034, 1177, 693, 707, 2199, 19209, 269, 1879, 835, 1126, 18795, 693, 2901, 1439, 267, 789, 1995, 3160, 5666, 540, 3196, 11319, 1524, 593, 741, 10160, 269, 1306, 1279, 607, 1312, 1453, 616, 8449, 22051, 267, 519, 12034, 1177, 3788, 7059, 269, 1809, 952, 835, 1126, 22179, 3648, 811, 982, 519, 824, 267, 519, 18219, 2427, 24864, 9875, 5196, 519, 2666, 267, 4929, 519, 14402, 1126, 547, 4473, 1055, 519, 2666, 2394, 3666, 568, 17468, 1586, 780, 4131, 781, 1491, 713, 2856, 2417, 609, 1483, 8996, 3156, 269, 6333, 513, 1804, 1379, 2030, 1141, 4492, 17236, 3330, 9649, 9065, 839, 1634, 607, 26925, 547, 3132, 3002, 1648, 269, 1677, 11694, 4398, 1247, 10893, 5533, 267, 8030, 946, 4359, 1949, 971, 607, 24045, 2011, 14927, 619, 538, 519, 8908, 1062, 269, 1452, 3457, 4383, 519, 2095, 540, 3063, 5135, 2838, 1282, 13674, 3157, 269, 17797, 532, 519, 2481, 704, 7158, 1759, 593, 519, 1770, 4452, 5849, 6099, 5106, 267, 3056, 547, 1732, 2773, 543, 4389, 5434, 780, 3719, 1946, 798, 649, 991, 5904, 547, 948, 721, 4383, 782, 540, 713, 286, 4270, 267, 4952, 9013, 7366, 610, 1256, 5215, 540, 1367, 3334, 16924, 269, 2334, 1131, 581, 3833, 4101, 256, 23675, 1450, 12957, 540, 1950, 4247, 998, 3292, 2966, 4481, 585, 1346, 5301, 269, 1280, 1383, 267, 519, 20798, 3760, 3096, 2653, 3562, 268, 16187, 5752, 4654, 602, 5512, 3755, 547, 1711, 2688, 3435, 585, 1585, 2042, 269, 6684, 267, 10439, 9978, 3091, 3532, 2645, 585, 2679, 13502, 602, 17932, 1483, 3734, 7653, 269, 8625, 267, 891, 4066, 7668, 8030, 547, 1628, 10427, 1949, 5827, 540, 7829, 6946, 4238, 8850, 780, 2026, 513, 22429, 267, 1705, 596, 917, 602, 3744, 723, 1031, 1769, 6786, 2366, 3842, 6775, 25852, 15791, 547, 10141, 1344, 2066, 5318, 9883, 585, 936, 1079, 5553, 286, 18786, 1472, 476, 9692, 271, 267, 3943, 23266, 19863, 324, 932, 1952, 324, 2813, 513, 3126, 540, 20610, 9280, 609, 7344, 7916, 602, 1223, 5365, 6835, 1063, 873, 269, 3683, 942, 267, 6639, 7760, 3366, 547, 2413, 6775, 25852, 1107, 6094, 22204, 1500, 540, 4837, 610, 5068, 23142, 1239, 998, 20512, 540, 1769, 269, 4653, 267, 6775, 25852, 6087, 3728, 4950, 4296, 5001, 267, 18445, 1175, 875, 2484, 23568, 519, 6286, 540, 4974, 3346, 11707, 666, 581, 2439, 3528, 1631, 267, 594, 4126, 596, 1745, 6273, 547, 1451, 811, 827, 3346, 11707, 543, 875, 9583, 2241, 4205, 1063, 3615, 666, 1291, 547, 6909, 10124, 269, 5901, 3695, 267, 3251, 8049, 267, 543, 3314, 602, 2257, 568, 10876, 1472, 721, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21292, 281, 19460, 547, 2842, 7901, 11186, 2604, 267, 2842, 7901, 547, 19460, 454, 1103, 713, 6069, 960, 267, 1374, 543, 1646, 540, 5883, 4675, 11915, 2011, 14927, 619, 538, 513, 8908, 1062, 540, 513, 21755, 2030, 799, 568, 27057, 2519, 593, 667, 5425, 1935, 814, 1044, 6913, 676, 1210, 1164, 4393, 3301, 8121, 291, 308, 2562, 302, 543, 2164, 814, 1044, 8810, 609, 5078, 11191, 538, 966, 3041, 308, 3201, 32577, 12903, 269, 634, 3483, 540, 713, 960, 568, 547, 1852, 519, 1604, 14927, 619, 538, 1114, 2081, 538, 1899, 609, 519, 1770, 4452, 538, 602, 1259, 2810, 519, 15245, 4398, 849, 547, 2569, 519, 5533, 269, 589, 1305, 540, 3670, 954, 6674, 2175, 941, 3177, 585, 713, 1599, 269, 4595, 667, 5425, 1281, 4019, 1152, 585, 2462, 1062, 711, 1447, 982, 476, 4335, 271, 3403, 543, 3977, 855, 713, 568, 14427, 563, 1607, 1957, 5654, 693, 20249, 25852, 607, 513, 2029, 602, 568, 3384, 543, 2810, 1018, 4990, 540, 1158, 31825, 585, 811, 982, 1079, 5756, 269, 898, 12116, 922, 8129, 689, 476, 9692, 271, 267, 950, 513, 5333, 11653, 19863, 324, 932, 1952, 324, 2919, 513, 1062, 585, 11488, 14773, 906, 1210, 513, 1895, 540, 5033, 7469, 648, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23086, 23317, 257, 607, 851, 540, 834, 306, 11799, 1315, 23317, 1315, 3752, 1749, 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, 3848, 476, 280, 281, 661, 327, 6840, 5937, 534, 32221, 5204, 526, 27689, 281, 589, 18043, 22410, 540, 513, 670, 2678, 15119, 6828, 540, 18726, 4045, 633, 570, 22568, 15136, 692, 280, 269, 272, 4985, 692, 292, 327, 6840, 5937, 534, 32221, 25102, 27689, 630, 3633, 306, 264, 2099, 513, 3309, 4015, 540, 1200, 3386, 24561, 5160, 4713, 6353, 676, 2934, 971, 607, 5409, 332, 9394, 10549, 267, 10347, 543, 970, 839, 1043, 2960, 267, 543, 1585, 1418, 270, 17882, 338, 23659, 17313, 4611, 538, 8101, 5312, 1928, 269, 6736, 1373, 7620, 4857, 538, 519, 3735, 476, 5197, 271, 338, 267, 891, 2175, 723, 1279, 7283, 28430, 1813, 547, 741, 678, 10846, 267, 6988, 267, 543, 20718, 2589, 609, 824, 3676, 269, 9182, 267, 2043, 4299, 676, 661, 9169, 4749, 11402, 2591, 538, 8391, 12905, 21904, 543, 5078, 5574, 267, 28285, 538, 991, 1652, 1367, 11605, 543, 3782, 4199, 3653, 269, 1677, 10994, 891, 9465, 267, 21722, 19190, 899, 519, 6153, 28775, 661, 9169, 18669, 941, 3964, 1369, 12021, 2564, 5238, 547, 1683, 7463, 267, 23499, 3461, 1416, 5483, 676, 5969, 12967, 1382, 543, 2963, 2861, 2853, 269, 769, 1018, 5205, 267, 649, 5490, 883, 519, 10578, 1158, 540, 661, 9169, 998, 7234, 922, 3140, 2796, 267, 4791, 19183, 267, 10368, 4485, 267, 543, 4207, 2359, 2994, 780, 280, 269, 273, 8466, 21887, 543, 7351, 4197, 692, 30399, 267, 661, 9169, 729, 4330, 10446, 676, 1079, 13500, 1107, 3798, 10542, 661, 327, 6840, 689, 16862, 538, 476, 5002, 272, 543, 28741, 5025, 2716, 663, 516, 8355, 32221, 689, 5333, 538, 476, 5002, 279, 1107, 945, 4080, 2665, 5473, 2550, 27109, 11495, 2960, 3834, 699, 868, 839, 2225, 543, 4745, 561, 1314, 640, 269, 3683, 942, 267, 2705, 267, 621, 2968, 10423, 602, 891, 3355, 7422, 6719, 8806, 519, 9133, 540, 606, 4672, 6199, 10703, 2718, 3875, 3982, 2943, 10562, 4307, 8040, 5532, 1927, 896, 519, 22597, 2165, 834, 292, 327, 6840, 5937, 534, 32221, 25102, 27689, 1701, 1452, 13103, 6565, 5097, 689, 19260, 538, 1114, 6090, 17683, 5946, 7533, 547, 519, 2497, 543, 1599, 540, 519, 29414, 5119, 630, 4488, 300, 1070, 799, 2488, 1898, 21934, 13783, 1489, 585, 2281, 543, 8219, 2429, 519, 1560, 780, 1103, 2487, 1296, 267, 938, 8223, 540, 661, 9169, 814, 7960, 14320, 7064, 547, 7760, 538, 7636, 11976, 543, 1024, 15299, 269, 21231, 267, 3173, 9286, 661, 9169, 1759, 593, 4791, 7355, 282, 4867, 267, 789, 7048, 15866, 593, 1808, 5444, 13592, 3743, 585, 4929, 1880, 2010, 540, 661, 9169, 269, 2311, 1459, 267, 972, 2291, 24369, 6444, 1016, 18196, 540, 661, 9169, 267, 1142, 2404, 609, 2189, 23633, 14726, 7133, 1808, 3334, 540, 519, 10566, 300, 269, 7324, 873, 267, 20018, 4564, 519, 1034, 4122, 26582, 3940, 267, 2016, 922, 11606, 543, 11358, 1909, 538, 4509, 7293, 8699, 2066, 2789, 1949, 269, 11048, 267, 12889, 538, 1875, 2275, 3326, 10402, 748, 9848, 19817, 4710, 1231, 267, 11476, 267, 543, 824, 6675, 666, 849, 1291, 547, 1585, 3029, 540, 661, 9169, 780, 280, 269, 274, 11916, 2494, 28685, 725, 543, 26616, 12694, 692, 11693, 519, 7915, 10848, 16109, 689, 661, 9169, 781, 4719, 30846, 267, 9591, 513, 17046, 5868, 3788, 4101, 1256, 2221, 269, 12580, 949, 2039, 689, 7646, 547, 27676, 543, 4268, 4922, 1851, 4299, 2043, 4470, 2390, 519, 5817, 1757, 894, 15817, 4433, 1040, 16480, 267, 1978, 29039, 4191, 4043, 547, 581, 3838, 2066, 1082, 1016, 18196, 267, 1519, 1384, 320, 269, 17434, 5754, 11279, 984, 1006, 281, 10705, 9833, 607, 519, 10689, 5658, 4183, 540, 661, 9169, 267, 20902, 4745, 561, 1314, 640, 19753, 5099, 1346, 3413, 21719, 547, 20443, 20247, 23148, 4882, 889, 12999, 725, 267, 2038, 30169, 267, 543, 5312, 30273, 1928, 269, 5047, 267, 930, 2043, 1995, 8795, 5232, 540, 5179, 15717, 18363, 5386, 5179, 1983, 543, 14407, 5179, 3252, 563, 321, 269, 12338, 10389, 2806, 7538, 885, 281, 10886, 2065, 17172, 1670, 4681, 17663, 29099, 13412, 2960, 12155, 547, 20015, 2358, 543, 16607, 10138, 7067, 267, 7258, 11132, 2934, 971, 607, 7986, 4064, 267, 6094, 17534, 267, 543, 1507, 10772, 269, 1717, 267, 891, 7592, 1522, 711, 2141, 581, 7805, 610, 25144, 7856, 2066, 782, 4525, 540, 519, 1560, 563, 322, 269, 5029, 21619, 10818, 281, 13689, 593, 519, 1826, 540, 661, 9169, 267, 1471, 30844, 9525, 1223, 27167, 15466, 6526, 1006, 267, 9667, 8778, 31818, 10306, 2801, 5250, 267, 29897, 28230, 1282, 6379, 267, 610, 5378, 1537, 11896, 7139, 8985, 267, 1851, 1866, 269, 6270, 8374, 20838, 519, 2956, 540, 21713, 5464, 543, 6098, 6304, 950, 5883, 661, 9169, 2550, 563, 323, 269, 10266, 281, 654, 7655, 5312, 1928, 13054, 1776, 24245, 2460, 540, 661, 9169, 267, 23608, 689, 1312, 562, 665, 823, 696, 633, 15128, 630, 328, 4318, 1421, 6553, 267, 5945, 264, 543, 5778, 12949, 545, 6127, 630, 328, 4318, 1421, 12012, 8229, 5365, 4393, 1040, 9717, 922, 16148, 2470, 267, 8308, 3067, 4328, 543, 5466, 1928, 6799, 23773, 2591, 8506, 2673, 5698, 1063, 2550, 267, 3885, 267, 543, 3782, 7426, 780, 2414, 6330, 891, 10848, 267, 1896, 8760, 14565, 723, 7153, 547, 7520, 13387, 4879, 543, 11186, 5868, 540, 661, 9169, 1016, 18196, 269, 1280, 3236, 267, 519, 15428, 562, 657, 1108, 6069, 676, 519, 4139, 5980, 540, 661, 327, 6840, 5937, 534, 32221, 5204, 526, 27689, 19032, 7600, 4997, 11554, 6828, 3091, 513, 21712, 5943, 6220, 2101, 543, 5634, 4791, 7355, 2059, 609, 5885, 8047, 4255, 547, 3391, 3375, 6194, 3157, 269, 5015, 267, 8441, 538, 1164, 28443, 1584, 15971, 4066, 5512, 811, 5730, 8446, 540, 2068, 23938, 4719, 7648, 267, 7551, 7393, 10368, 6111, 1247, 10893, 11991, 1045, 553, 4369, 543, 3790, 780, 280, 269, 275, 12634, 5004, 11150, 543, 8892, 19648, 692, 8601, 7415, 3356, 1500, 3976 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 14021, 2504, 2409, 547, 3684, 2504, 2409, 269, 476, 273, 4853, 4838, 1557, 4853, 4838, 910, 476, 277, 2767, 1913, 18363, 707, 1072, 713, 568, 519, 1259, 1004, 781, 2729, 941, 1282, 519, 4853, 4838, 269, 769, 1018, 2081, 941, 12766, 339, 1415, 519, 8789, 4853, 1379, 538, 519, 1158, 538, 476, 6977, 271, 3812, 811, 982, 476, 2004, 2600, 540, 519, 1158, 779, 19135, 2472, 24776, 811, 982, 476, 3199, 2600, 540, 922, 5755, 1500, 3592, 3368, 540, 922, 4401, 5280, 824, 2477, 547, 1628, 741, 7841, 1811, 3177, 519, 12227, 585, 2934, 538, 824, 2477, 1185, 519, 7887, 543, 1034, 3532, 563, 13233, 1143, 543, 4853, 4838, 4444, 2688, 1557, 689, 476, 15686, 280, 829, 2985, 610, 946, 585, 1863, 269, 634, 4853, 4838, 1185, 2318, 543, 2942, 4539, 606, 1271, 4324, 729, 519, 5137, 540, 6009, 15327, 538, 519, 4872, 2813, 6009, 269, 5131, 4853, 4838, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 5131, 1557, 281, 7760, 538, 6683, 267, 19135, 267, 6283, 543, 2804, 2208, 2968, 2009, 1152, 1317, 540, 519, 4853, 4838, 2921, 1747, 563, 763, 4853, 4838, 568, 3006, 22309, 585, 519, 2942, 5222, 621, 4547, 547, 519, 2486, 2705, 267, 621, 568, 513, 1360, 4277, 267, 543, 269, 3367, 4853, 4838, 1557, 689, 519, 1650, 1153, 3785, 676, 1535, 343, 332, 1168, 16282, 29900, 275, 630, 14623, 267, 1775, 6415, 803, 342, 264, 609, 476, 7176, 273, 14509, 1557, 267, 1686, 267, 13314, 519, 4853, 15148, 583, 1470, 269, 634, 4853, 4838, 568, 1634, 607, 513, 1974, 538, 799, 4909, 2242, 7018, 538, 6683, 267, 20955, 543, 4496, 5478, 269, 634, 2165, 4853, 4838, 814, 1044, 1031, 547, 4766, 519, 1034, 3573, 1689, 519, 1158, 814, 2479, 4810, 621, 729, 22579, 676, 7005, 14544, 795, 2129, 1348, 811, 1934, 563, 26581, 7434, 4838, 267, 7839, 10682, 540, 8261, 4074, 676, 6191, 602, 3459, 538, 31564, 538, 519, 476, 1240, 628, 2540, 543, 568, 1869, 11173, 538, 930, 2694, 540, 519, 1158, 269, 1306, 519, 4853, 4838, 8057, 4357, 9520, 543, 2883, 5238, 941, 2877, 547, 1683, 2724, 585, 519, 4853, 543, 3059, 4838, 1557, 269, 10749, 543, 9880, 593, 519, 4853, 4838, 538, 3332, 910, 2565, 3594, 269, 634, 4853, 4838, 543, 922, 4539, 547, 3333, 1923, 32414, 476, 1556, 267, 476, 1001, 279, 10153, 322, 476, 276, 281, 519, 4853, 4838, 543, 922, 4539, 1900, 476, 272, 281, 1224, 519, 6810, 540, 519, 1837, 593, 519, 4853, 4838, 563, 26581, 7434, 4838, 24563, 336, 1557, 3732, 2340, 511, 494, 596, 666, 1831, 513, 4759, 547, 1224, 11305, 4878, 4882, 1511, 782, 519, 1557, 6538, 610, 3274, 16926, 513, 5856, 538, 513, 1906, 3764, 2340, 511, 494, 649, 10018, 602, 707, 1557, 786, 581, 2298, 543, 2189, 2340, 511, 494, 811, 982, 513, 8536, 1863, 1557, 1806, 1318, 1934, 563, 19950, 539, 538, 2542, 827, 519, 1279, 3856, 2360, 540, 519, 4853, 4838, 713, 3732, 1957, 23607, 519, 2360, 543, 2242, 602, 7018, 1282, 713, 942, 269, 31598, 1169, 2582, 1268, 538, 519, 4207, 1158, 814, 2479, 4862, 540, 519, 2165, 2048, 8114, 12009, 4838, 685, 2705, 267, 1152, 513, 1906, 616, 2965, 2386, 540, 1018, 621, 568, 563, 1607, 2376, 568, 3370, 538, 5698, 609, 5420, 519, 22733, 2540, 779, 10412, 3138, 1682, 543, 9252, 9817, 16765, 29354, 519, 1259, 519, 1158, 5249, 538, 519, 1101, 4853, 4838, 269, 11633, 4838, 713, 1382, 1957, 4853, 4838, 543, 824, 476, 5038, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 2689, 612, 904, 1260, 269, 3399, 4974, 4853, 4838, 1557, 2055, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 11633, 4838, 1557, 910, 1863, 4647, 607, 630, 4135, 325, 1070, 7824, 3758, 630, 23486, 1070, 1257, 3758, 630, 339, 868, 264, 610, 1224, 2228, 585, 1863, 269, 7476, 3758, 0, 3674, 2565, 3206, 2942, 3206, 454, 1432, 568, 2565, 3206, 2565, 815, 2976, 894, 547, 2057, 3765, 24483, 267, 649, 991, 547, 1174, 1018, 621, 3884, 1405, 281, 2565, 3206, 568, 711, 8209, 1373, 968, 322, 15560, 892, 543, 2942, 269, 20134, 3206, 568, 711, 2565, 3206, 2942, 3206, 1419, 10525, 3294, 538, 740, 4630, 514, 655, 6285, 1419, 513, 8468, 814, 835, 610, 811, 2043, 945, 723, 269, 4208, 798, 5100, 1004, 798, 18174, 880, 1919, 1004, 945, 941, 2178, 593, 2901, 4987, 610, 2565, 3206, 4810, 7864, 2942, 2621, 269, 1548, 568, 2565, 3206, 586, 2942, 267, 607, 621, 568, 1031, 1934, 2565, 3206, 596, 2322, 707, 1565, 547, 946, 543, 4324, 689, 707, 2182, 960, 693, 1153, 563, 4504, 21526, 21548, 281, 2348, 513, 4978, 610, 16752, 4724, 799, 649, 723, 2178, 2942, 4664, 543, 547, 799, 649, 723, 519, 4998, 540, 2565, 3206, 568, 547, 269, 6875, 2962, 1318, 1631, 547, 6460, 2942, 547, 2318, 3206, 1004, 5352, 2942, 4555, 865, 875, 2565, 519, 2298, 540, 707, 3206, 568, 547, 269, 14400, 476, 1220, 276, 267, 4320, 1535, 12858, 267, 1297, 476, 275, 476, 8687, 2565, 3206, 538, 3594, 540, 1702, 538, 519, 1769, 540, 519, 12406, 602, 1489, 621, 543, 519, 2417, 8753, 547, 799, 621, 11148, 892, 630, 1372, 28838, 11783, 594, 1265, 8885, 3206, 9691, 513, 2603, 267, 1775, 3513, 2161, 1919, 547, 8885, 899, 1775, 8959, 693, 3257, 713, 267, 865, 1775, 6415, 2469, 547, 723, 547, 798, 1732, 1985, 942, 543, 1775, 16111, 1589, 899, 713, 538, 1931, 547, 2087, 563, 27287, 3206, 568, 519, 968, 984, 11187, 2079, 543, 6268, 540, 606, 3390, 538, 1931, 547, 1106, 513, 10385, 892, 1510, 519, 5578, 610, 2702, 547, 1589, 9691, 267, 649, 3251, 538, 267, 610, 556, 3200, 547, 267, 24178, 7266, 878, 543, 8739, 7266, 878, 3206, 269, 634, 2165, 968, 322, 15560, 3206, 892, 568, 1419, 1031, 543, 5219, 547, 1282, 10952, 5717, 270, 1372, 321, 919, 267, 855, 1034, 1004, 3668, 922, 3020, 543, 2312, 1523, 610, 1620, 269, 10341, 547, 2628, 519, 12014, 476, 7176, 1966, 6061, 543, 2565, 3206, 3025, 2833, 2042, 689, 942, 547, 942, 930, 540, 938, 2042, 616, 2462, 543, 7294, 267, 1247, 269, 11879, 3206, 568, 519, 6662, 2079, 540, 5013, 547, 1106, 513, 10385, 519, 1641, 568, 1950, 267, 543, 1896, 1114, 8847, 2291, 563, 27078, 894, 3206, 3893, 602, 2565, 1268, 729, 596, 2942, 1582, 2389, 1779, 568, 835, 540, 519, 713, 786, 948, 596, 1711, 930, 3845, 689, 519, 2942, 4555, 269, 28064, 1806, 540, 3206, 1983, 971, 607, 7421, 1299, 10442, 1239, 267, 16208, 3403, 267, 7713, 8925, 1299, 7487, 9266, 4539, 563, 288, 5042, 23673, 568, 606, 27105, 610, 19450, 2219, 4806, 2942, 3206, 3270, 2014, 630, 17141, 2942, 264, 4555, 689, 1010, 610, 1200, 269, 1548, 1281, 2942, 3206, 2014, 2015, 476, 1556, 2360, 540, 2942, 4555, 267, 1519, 519, 1198, 593, 1072, 946, 713, 1702, 547, 3247, 3206, 11874, 269, 7726, 476, 272, 476, 1839, 856, 540, 476, 1839, 2798, 799, 540, 519, 1739, 568, 513, 4295, 2565, 3206, 5578, 5697, 2626, 281, 7492, 568, 2243, 476, 273, 476, 1839, 856, 540, 476, 1839, 2798, 799, 540, 519, 1739, 568, 513, 2942, 2565, 3206, 4356, 540, 2247, 269, 3399, 4974, 2565, 3206, 543, 1966, 6061, 3018, 476, 272, 1018, 4295, 2565, 3206, 1983, 799, 540, 519, 1739, 568, 711, 835, 540, 519, 5722, 2942, 563, 2710, 596, 723, 891, 476, 279, 2565, 3206, 4162, 2565, 3206, 6208, 540, 2247, 666, 1711, 513, 11327, 543, 2500, 9036, 1247, 2324, 609, 1866, 593, 707, 2319, 269, 11790, 602, 3310, 519, 1646, 540, 2565, 3206, 1983, 2565, 3206, 3631, 15427, 676, 1312, 2318, 543, 2942, 2621, 563, 27287, 3206, 13788, 982, 519, 3312, 2942, 2689, 513, 2565, 6514, 540, 519, 3510, 1522, 1291, 596, 547, 7227, 513, 1554, 547, 2445, 707, 4555, 269, 1323, 19829, 781, 3391, 547, 2565, 3206, 2474, 543, 2035, 12172, 281, 547, 1118, 4443, 547, 1174, 267, 547, 1863, 689, 10539, 610, 13509, 267, 547, 4894, 2116, 15247, 743, 10846, 568, 513, 4909, 19870, 540, 2219, 543, 27792, 513, 4909, 2832, 538, 2565, 3206, 563, 27287, 3206, 7592, 1299, 4162, 875, 798, 649, 917, 602, 513, 1268, 568, 513, 1434, 1589, 518, 2565, 17024, 5968, 5693, 543, 25401, 269, 20134, 3206, 568, 711, 2565, 3206, 2942, 3206, 1419, 10525, 3294, 538, 740, 4630, 514, 655, 6285, 1419, 513, 8468, 814, 835, 610, 811, 2043, 945, 269, 16179, 513, 4052, 3391, 547, 2565, 3206, 281, 1898, 3268, 585, 3384, 3280, 7744, 543, 7440, 1247, 20408, 12042, 27509, 547, 7787, 3206, 281, 1224, 476, 276, 2186, 548, 4558, 8039, 910, 32312, 1260, 269, 5303, 781, 2942, 7015, 554, 919, 2542, 855, 14560, 4730, 3381, 3756, 543, 8384, 543, 8613, 543, 519, 3017, 568, 10423, 538, 1010, 2565, 3206, 269, 7476, 3758, 0, 1607, 568, 519, 13033, 2055, 543, 4267, 3296, 593, 13033, 9238, 609, 7778, 585, 1585, 5967, 267, 8013, 6514, 543, 13675, 1449, 269, 8950, 5121, 5967, 2055, 543, 4267, 4896, 8600, 585, 19038, 3363, 1449, 538, 2780, 5121, 2055, 1299, 4267, 593, 4367, 269, 476, 275, 339, 3949, 1260, 910, 707, 1863, 267, 2259, 1449, 3135, 585, 513, 1863, 267, 2259, 13033, 476, 4343, 2139, 2055, 13033, 30304, 544, 22330, 2433, 13261, 4152, 7160, 269, 901, 7688, 786, 1449, 596, 1702, 540, 519, 2596, 2035, 540, 2780, 5121, 476, 1015, 2055, 1923, 676, 989, 2001, 1923, 2063, 8242, 281, 23891, 476, 1704, 267, 476, 1001, 274, 5225, 1491, 519, 7688, 547, 269, 4985, 476, 6344, 4267, 547, 981, 2055, 476, 14917, 10956, 619, 12926, 267, 1022, 4901, 540, 13033, 3334, 1131, 1331, 10956, 619, 267, 855, 2221, 563, 303, 23035, 11400, 2285, 3060, 4648, 519, 4960, 547, 6961, 741, 13033, 524, 8646, 1281, 711, 15476, 981, 8429, 8464, 1317, 981, 2055, 543, 269, 1284, 616, 4274, 1863, 981, 15494, 4267, 1299, 2228, 4255, 538, 524, 8646, 630, 764, 3534, 267, 5121, 476, 274, 17142, 911, 1356, 1107, 30076, 13055, 5121, 476, 274, 630, 24987, 269, 10084, 2228, 1449, 910, 1565, 28162, 538, 2241, 543, 2653, 3268, 2433, 513, 19444, 781, 5850, 10070, 267, 13033, 267, 1617, 603, 15105, 267, 1252, 923, 267, 19180, 267, 17626, 1436, 267, 1368, 328, 596, 786, 581, 4843, 2789, 3903, 2055, 630, 32508, 336, 338, 264, 1759, 593, 4295, 4586, 763, 2347, 1592, 540, 3184, 2789, 3903, 2055, 630, 32508, 336, 264, 689, 519, 1433, 2789, 3903, 2055, 538, 1239, 10618, 543, 13033, 630, 577, 1986, 7688, 264, 3184, 476, 272, 281, 26818, 336, 338, 538, 4367, 547, 1239, 2792, 269, 4985, 547, 2780, 2257, 5614, 476, 1001, 277, 3732, 2055, 585, 519, 3803, 981, 3992, 476, 279, 2491, 519, 3017, 1063, 1930, 543, 6806, 5121, 476, 280, 269, 10713, 527, 2946, 18216, 565, 1664, 632, 21514, 341, 664, 585, 3450, 2199, 1858, 5121, 2879, 320, 1496, 544, 22396, 8014, 523, 3192, 277, 316, 2073, 2890, 7809, 5189, 2121, 321, 3930, 1496, 7773, 8725, 1220, 274, 316, 2073, 11945, 914, 593, 3028, 949, 7985, 689, 1585, 2010, 540, 2042, 3379, 547, 513, 6325, 598, 31037, 269, 3848, 476, 272, 281, 10962, 2596, 3060, 2035, 476, 272, 678, 1157, 344, 9060, 5128, 11432, 1359, 519, 2243, 267, 968, 6343, 616, 5121, 1031, 585, 892, 2789, 3903, 7688, 476, 272, 563, 290, 8646, 13033, 30028, 781, 4367, 547, 23332, 2035, 2347, 782, 519, 2689, 2055, 7396, 1934, 547, 1449, 707, 1620, 540, 519, 269, 595, 322, 3534, 642, 2004, 524, 322, 3534, 642, 7906, 642, 2568, 524, 322, 3534, 476, 272, 23332, 543, 15175, 281, 4367, 547, 5121, 11400, 4267, 476, 1911, 260, 476, 1001, 278, 476, 1001, 279, 1449, 2228, 7688, 543, 1863, 4647, 269, 5192, 1483, 981, 2055, 585, 476, 1220, 268, 6344, 524, 322, 3534, 524, 8646, 14468, 3060, 12314, 524, 322, 333, 822, 1171, 538, 10375, 7792, 3898, 269, 32730, 568, 513, 5318, 1641, 543, 568, 2479, 9750, 543, 1034, 4749, 1031, 5967, 1888, 13033, 2055, 616, 1455, 547, 782, 519, 269, 634, 1007, 635, 696, 807, 3060, 266, 562, 1015, 268, 23669, 981, 568, 2139, 607, 540, 15292, 476, 1001, 279, 1826, 540, 2055, 267, 2789, 3903, 2055, 630, 338, 17532, 543, 2789, 3210, 1070, 8749, 543, 12772, 543, 2773, 2861, 8766, 4367, 547, 13033, 563, 303, 770, 4574, 543, 981, 29794, 262, 5359, 585, 519, 2780, 5121, 26885, 540, 519, 536, 14369, 3318, 18362, 269, 476, 4335, 266, 1863, 2228, 635, 696, 807, 3060, 266, 2259, 1449, 2055, 1759, 593 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 693, 6280, 952, 972, 568, 513, 4960, 602, 4879, 4247, 949, 581, 23545, 539, 267, 5049, 616, 1572, 1055, 610, 789, 1376, 20468, 827, 519, 6009, 789, 616, 4974, 585, 630, 7945, 607, 6009, 538, 519, 6575, 610, 9235, 602, 616, 896, 3463, 267, 610, 6009, 538, 4395, 11060, 1072, 1141, 1898, 4600, 616, 896, 5458, 2566, 1916, 2108, 4462, 322, 1643, 1852, 892, 568, 950, 1053, 798, 711, 1745, 513, 1390, 4308, 540, 8116, 610, 3310, 538, 741, 6280, 2090, 267, 789, 1020, 513, 2070, 602, 741, 3646, 786, 711, 1291, 547, 5551, 4093, 610, 789, 1745, 513, 2631, 540, 27303, 1145, 538, 741, 4081, 1272, 269, 13044, 814, 4843, 1053, 609, 782, 12204, 540, 5007, 12503, 602, 616, 3564, 741, 1852, 269, 1703, 814, 1044, 513, 2603, 540, 5007, 968, 560, 4428, 892, 533, 4979, 909, 593, 1053, 971, 607, 27579, 267, 10072, 267, 4576, 267, 4028, 10593, 538, 543, 856, 540, 6552, 1565, 543, 538, 31261, 960, 269, 901, 666, 2569, 741, 2631, 540, 2123, 1852, 543, 8116, 563, 11514, 1263, 1771, 568, 950, 1053, 2285, 909, 543, 1033, 778, 689, 6280, 267, 2569, 741, 3646, 543, 11198, 741, 7589, 269, 1703, 616, 3335, 1082, 2188, 602, 1404, 883, 771, 1263, 1771, 267, 855, 607, 4143, 547, 713, 4901, 267, 1970, 3024, 532, 543, 7334, 1852, 616, 1079, 1761, 27521, 338, 269, 1879, 513, 2875, 12034, 1100, 10083, 543, 28252, 538, 6280, 543, 950, 789, 22992, 3494, 789, 723, 2370, 610, 1100, 1852, 936, 741, 4081, 1272, 267, 568, 621, 1022, 4898, 789, 616, 693, 1981, 540, 771, 1263, 1771, 888, 289, 2590, 532, 891, 2093, 1927, 267, 513, 7008, 540, 4052, 2994, 616, 8612, 563, 3080, 568, 547, 3142, 3152, 22979, 543, 1852, 883, 1053, 685, 4081, 2729, 267, 865, 789, 666, 581, 8746, 602, 741, 3646, 616, 4502, 621, 269, 1280, 1383, 267, 8015, 519, 10462, 540, 13044, 267, 7855, 1522, 3746, 1047, 1614, 2694, 540, 1053, 685, 2729, 602, 789, 798, 1852, 281, 4674, 630, 6011, 2182, 789, 2119, 1070, 4640, 630, 1492, 1259, 789, 2119, 267, 971, 607, 875, 789, 1459, 741, 960, 267, 1353, 2994, 789, 946, 543, 865, 593, 264, 543, 10182, 630, 6343, 789, 1589, 827, 2933, 267, 741, 14357, 1916, 5194, 568, 547, 1020, 4244, 2081, 1053, 666, 1871, 6280, 269, 1280, 1383, 267, 952, 519, 28252, 540, 513, 1641, 568, 2352, 547, 6542, 267, 7855, 666, 10244, 1018, 568, 5219, 547, 607, 968, 842, 337, 13917, 892, 1871, 971, 607, 4259, 513, 1187, 2534, 267, 26901, 532, 1053, 685, 7279, 267, 7630, 532, 930, 1208, 712, 883, 519, 3992, 543, 8744, 930, 3099, 883, 1543, 267, 4879, 543, 3450, 2409, 563, 4517, 4319, 808, 269, 9410, 568, 6982, 807, 7548, 543, 7548, 540, 3872, 6530, 538, 519, 3427, 540, 4065, 693, 6167, 14684, 17638, 267, 5245, 563, 2252, 596, 1336, 713, 4277, 543, 1616, 5796, 543, 5813, 689, 19174, 543, 6280, 5234, 9447, 1463, 547, 707, 28600, 1142, 3018, 267, 1129, 909, 585, 519, 5990, 28941, 20394, 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 ]

[ 568, 834, 5141, 27222, 545, 657, 632, 3288, 1480, 21059, 2437, 799, 2882, 1568, 899, 834, 763, 2667, 18870, 540, 15584, 257, 543, 834, 18128, 617, 3780, 267, 7216, 13360, 902, 540, 27596, 1701, 5994, 4466, 513, 7452, 344, 2025, 20801, 5627, 2984, 543, 7326, 689, 1004, 945, 5030, 7366, 610, 1256, 5215, 540, 1296, 3516, 256, 2334, 781, 1018, 2542, 8106, 5931, 7959, 899, 780, 3086, 267, 1946, 1058, 649, 1416, 827, 891, 3504, 12591, 286, 1703, 616, 1896, 4128, 1384, 272, 269, 7033, 6804, 14313, 281, 4014, 8106, 5931, 941, 2854, 513, 1279, 942, 3516, 267, 1082, 540, 741, 2093, 2611, 4143, 2221, 269, 1635, 4974, 873, 267, 649, 666, 1451, 3407, 4245, 827, 1272, 267, 7881, 267, 543, 2565, 3206, 563, 273, 269, 8836, 11595, 281, 7335, 8106, 5931, 2636, 721, 547, 5660, 519, 5072, 540, 938, 2413, 10340, 1732, 269, 1284, 666, 1294, 875, 2093, 267, 2418, 267, 543, 5389, 723, 7960, 936, 942, 563, 274, 269, 5678, 543, 13910, 281, 18190, 5931, 1419, 2270, 4190, 1893, 543, 2189, 6163, 602, 666, 8300, 5830, 543, 10529, 2221, 269, 1635, 6313, 891, 1568, 267, 649, 666, 2087, 938, 1378, 2792, 1983, 563, 275, 269, 6184, 17508, 543, 22569, 1588, 281, 3509, 2984, 267, 3197, 267, 543, 4798, 1336, 538, 8106, 5931, 723, 6273, 9118, 2835, 267, 9413, 267, 543, 1148, 4773, 2429, 1686, 269, 5548, 1324, 883, 891, 2959, 540, 6667, 666, 8141, 938, 9345, 543, 5876, 780, 2414, 948, 596, 1205, 3323, 593, 707, 3460, 540, 3695, 8106, 5931, 267, 1934, 781, 513, 2241, 2534, 269, 7994, 835, 2856, 267, 1871, 267, 610, 6249, 689, 513, 8106, 1257, 602, 24889, 609, 596, 269, 3973, 267, 2328, 513, 2110, 5037, 7713, 922, 4644, 543, 875, 621, 1522, 4019, 547, 707, 1272, 610, 519, 1158, 2221, 269, 1411, 1223, 849, 1711, 513, 4062, 540, 11247, 6273, 676, 602, 1523, 269, 901, 1259, 267, 596, 1831, 851, 540, 519, 5571, 9371, 540, 16208, 543, 19825, 8106, 5931, 780, 1103, 3932, 267, 8106, 5931, 2709, 721, 4241, 4030, 883, 519, 4555, 543, 2729, 540, 1004, 689, 1114, 2053, 543, 4025, 269, 1635, 2502, 609, 891, 3504, 1568, 267, 649, 10802, 938, 1620, 540, 519, 1158, 543, 1020, 1898, 1983, 899, 2565, 3206, 543, 2500, 2792, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 298, 531, 678, 321, 341, 822, 30249, 552, 325, 307, 6312, 31014, 329, 302, 552, 307, 2967, 269, 2488, 713, 23333, 4041, 12283, 799, 621, 1281, 269, 898, 814, 824, 8585, 343, 267, 1849, 27222, 545, 657, 267, 1045, 12097, 607, 269, 674, 2350, 343, 573, 527, 1696, 18720, 344, 18255, 521, 269, 1546, 334, 1696, 1849, 27222, 545, 657, 632, 1433, 32461, 7629, 3780, 6039, 476, 1015, 269, 5292, 330, 3405, 543, 23664, 268, 31301, 656, 3780, 269, 23664, 2102, 26709, 267, 689, 1849, 27222, 545, 657, 632, 3288, 269, 674, 761, 345, 22385, 267, 689, 1416, 516, 13755, 600, 269, 25723, 723, 15991, 12873, 538, 519, 4985, 263, 1849, 27222, 545, 657, 632, 3288, 1979, 860, 17144, 19898, 332, 5451, 339, 3821, 2667, 18870, 540, 15584, 267, 3767, 4843, 538, 2473, 269, 595, 1446, 321, 267, 543, 538, 513, 4230, 2001, 2038, 2295, 269, 595, 2211, 540, 28641, 263, 7579, 269, 11829, 663, 328, 267, 4437, 308, 19708, 8619, 4793, 5300, 267, 19274, 269, 5345, 617, 3780, 267, 17623, 540, 27596, 269, 590, 1197, 639, 267, 24686, 1105, 540, 4165, 1470, 577, 263, 476, 24423, 268, 31982, 1040, 7442, 3326, 514, 23581, 263, 9697, 6511, 12832, 32397, 269, 744, 22721, 5588, 297, 853, 306, 659, 337, 298, 564, 15576, 7066, 696, 887, 341, 631, 342, 340, 920, 320, 21663, 1924, 288, 990, 9988, 282, 1913, 282, 14421, 3098, 282, 2680, 282, 476, 278, 263, 1775, 269, 476, 26839, 1070, 519, 1908, 326, 658, 689, 667, 267, 606, 1906, 1942, 2104, 269, 4659, 540, 4139, 9534, 267, 2160, 540, 32160, 269, 634, 20210, 1849, 27222, 545, 657, 632, 3288, 1979, 860, 17144, 1572, 609, 513, 5289, 561, 338, 326, 540, 519, 2160, 676, 4515, 269, 13206, 1640, 267, 519, 21470, 7304, 10725, 585, 9906, 16457, 543, 10866, 540, 9752, 543, 4804, 267, 713, 8947, 1185, 676, 513, 21371, 1577, 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, 5629, 2390, 513, 942, 267, 538, 513, 30152, 2244, 1572, 10897, 16492, 267, 972, 5030, 513, 2186, 543, 21464, 6205, 3957, 12751, 12968, 652, 269, 1261, 6068, 7836, 942, 609, 519, 1004, 538, 1010, 8498, 543, 2141, 19557, 547, 1018, 789, 1185, 547, 2161, 269, 634, 27142, 25343, 1864, 585, 1373, 971, 513, 1434, 26575, 543, 585, 4543, 873, 8164, 789, 2877, 621, 780, 3080, 1554, 267, 513, 2370, 7911, 3957, 15207, 4280, 1010, 3993, 267, 834, 300, 4821, 267, 1018, 1281, 513, 6205, 798, 8119, 3571, 3993, 14452, 267, 834, 288, 6205, 2337, 1491, 1416, 540, 519, 2146, 676, 1818, 2386, 3025, 814, 1426, 267, 12062, 267, 543, 568, 2922, 3010, 20755, 3240, 1287, 4280, 267, 834, 1692, 1281, 513, 6205, 948, 721, 3251, 2922, 8119, 3571, 3993, 6045, 267, 834, 11039, 267, 3006, 3401, 991, 547, 1118, 3652, 547, 1832, 3025, 2922, 269, 1280, 1383, 267, 952, 2576, 6499, 547, 3444, 519, 4155, 267, 649, 3180, 3946, 543, 1413, 1312, 2081, 1354, 15385, 269, 901, 4341, 8952, 721, 2922, 689, 3478, 10413, 676, 6517, 3010, 1103, 10897, 16492, 267, 12751, 12968, 652, 4941, 547, 2327, 1169, 1126, 4607, 606, 2069, 865, 789, 1223, 1451, 875, 547, 1224, 267, 2328, 267, 543, 1293, 269, 1924, 267, 646, 3710, 3506, 543, 21534, 3610, 899, 6004, 269, 12829, 267, 945, 6026, 519, 1453, 1169, 1554, 780, 16031, 269, 12829, 1131, 1419, 2307, 1010, 1053, 267, 834, 1432, 2306, 513, 1390, 6205, 8119, 9741, 15207, 6659, 1010, 1688, 543, 1767, 267, 834, 288, 1390, 6205, 1592, 839, 547, 1866, 267, 2337, 950, 2877, 267, 543, 2306, 2386, 3025, 13978, 2922, 10590, 6004, 269, 12829, 20493, 543, 21330, 1010, 2212, 538, 6876, 780, 19602, 267, 538, 1776, 851, 540, 10897, 16492, 267, 5030, 513, 13085, 1762, 8004, 3957, 1924, 325, 807, 269, 2701, 26927, 3139, 540, 4742, 513, 4387, 835, 1554, 543, 7067, 7210, 1004, 269, 4173, 1909, 2203, 729, 3220, 269, 4858, 557, 24711, 267, 513, 1134, 8153, 10629, 945, 14612, 2066, 10897, 16492, 547, 1521, 2550, 538, 6552, 14252, 780, 306, 1993, 807, 781, 4651, 8068, 1200, 6612, 585, 1565, 543, 3576, 1200, 547, 2743, 3220, 269, 4858, 557, 24711, 269, 1879, 789, 8452, 693, 1200, 16758, 267, 1924, 325, 807, 4718, 1082, 1004, 7996, 3544, 547, 1294, 519, 4583, 4387, 269, 1306, 1352, 14478, 3220, 269, 4858, 557, 24711, 7390, 547, 1142, 1268, 267, 1924, 325, 807, 2219, 267, 834, 32452, 256, 3807, 899, 631, 4821, 5143, 803, 267, 5075, 776, 3401, 616, 5363, 543, 12391, 2509, 1866, 3010, 12988, 538, 12751, 12968, 652, 781, 8498, 267, 519, 1453, 4121, 827, 1114, 2010, 540, 3401, 998, 2984, 3838, 676, 22242, 1282, 19771, 896, 519, 2462, 3529, 269, 1358, 4362, 602, 930, 3401, 941, 4589, 945, 2813, 4190, 2835, 4904, 609, 2093, 543, 4245, 269, 11524, 941, 5159, 945, 13556, 5961, 15386, 741, 5876, 269, 1656, 2943, 267, 1866, 3366, 2477, 1175, 899, 12751, 12968, 652, 1705, 780, 2026, 2395, 5293, 267, 15207, 267, 1924, 325, 807, 267, 543, 824, 1453, 8057, 909, 6616, 519, 2956, 540, 5718, 543, 922, 1764, 593, 741, 2729, 269, 2060, 5583, 689, 8797, 4079, 1472, 873, 267, 891, 3214, 25577, 883, 17519, 2043, 8149, 547, 7674, 741, 2950, 1107, 6273, 676, 519, 5075, 776, 3401, 789, 11402, 2429, 741, 6689, 780, 4517, 865, 267, 1272, 4682, 593, 538, 519, 7524, 8498, 540, 10897, 16492, 1141, 1169, 1554, 4547, 1007, 3255, 585, 2208, 267, 1565, 267, 543, 1620, 519, 3020, 2495, 540, 5718, 269, 3414, 2241, 6411, 540, 11587, 543, 11428, 267, 519, 2104, 5108, 4797, 547, 4163, 4464, 519, 9371, 2451, 3297, 676, 12751, 12968, 652, 543, 3220, 269, 4858, 557, 24711, 1107, 11121, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7049, 516, 281, 15348, 1299, 6554, 454, 288, 2494, 540, 519, 4658, 630, 3422, 277, 994, 5591, 835, 666, 20912, 602, 12751, 519, 12968, 22789, 631, 269, 589, 269, 715, 18553, 267, 631, 10422, 269, 729, 519, 1034, 3839, 22267, 538, 519, 2197, 269, 6787, 596, 4280, 538, 519, 2749, 610, 538, 1010, 1753, 8498, 267, 1323, 1092, 267, 789, 1131, 2995, 596, 646, 729, 513, 812, 540, 519, 1004, 269, 594, 723, 547, 16153, 713, 689, 519, 856, 3553, 610, 3116, 519, 1650, 594, 6557, 2469, 547, 2995, 786, 1118, 1100, 2631, 563, 763, 15669, 568, 13095, 8270, 6341, 2728, 267, 606, 4998, 2065, 1153, 4116, 538, 513, 14070, 3979, 2197, 23401, 2022, 12258, 11102, 13280, 269, 6168, 6341, 2728, 267, 3627, 4303, 5206, 538, 513, 476, 3422, 277, 5384, 12139, 2689, 281, 968, 3891, 568, 267, 538, 1249, 267, 5310, 519, 1034, 2502, 1915, 538, 5708, 827, 4000, 2094, 519, 5869, 540, 20717, 576, 595, 776, 779, 631, 3563, 9652, 267, 945, 729, 1249, 582, 636, 547, 513, 3043, 7810, 4013, 31422, 3245, 519, 856, 3553, 267, 519, 8360, 789, 1131, 2995, 596, 4667, 1713, 11652, 602, 18327, 547, 581, 519, 2013, 607, 519, 1650, 4652, 9529, 563, 301, 3570, 32765, 877, 1520, 16660, 328, 5174, 1066, 344, 1695, 454, 2419, 664, 8566, 836, 2353, 21178, 1513, 630, 1708, 274, 994, 9515, 5433, 741, 4064, 267, 782, 1346, 11056, 619, 563, 763, 6679, 1913, 2097, 689, 22784, 1777, 320, 774, 584, 8705, 267, 513, 3109, 3185, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 22335, 1299, 32532, 2762, 1315, 8466, 1315, 17496, 776, 24285, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 6637, 476, 1626, 281, 13898, 543, 1215, 1284, 13760, 519, 2622, 692, 5331, 596, 616, 3168, 693, 513, 4190, 7206, 269, 1548, 798, 596, 1294, 286, 1411, 1522, 5469, 519, 4778, 267, 5546, 267, 543, 3615, 13269, 538, 519, 11247, 269, 1809, 723, 596, 2479, 2219, 827, 875, 596, 1174, 1018, 596, 2811, 7487, 286, 3657, 596, 7487, 519, 1482, 3364, 607, 519, 1268, 1985, 547, 596, 286, 1656, 952, 711, 267, 1946, 711, 286, 1452, 2055, 1205, 693, 519, 2295, 540, 6138, 267, 799, 568, 519, 1353, 540, 4909, 2055, 827, 6228, 267, 4641, 267, 1702, 267, 2418, 267, 543, 1893, 780, 3080, 7936, 540, 6138, 568, 1572, 4020, 13659, 269, 901, 2856, 5267, 602, 1004, 8362, 1711, 741, 1378, 1620, 543, 1702, 1759, 593, 741, 2833, 543, 4205, 609, 519, 1158, 1472, 873, 269, 4340, 547, 4020, 643, 1235, 267, 972, 568, 1100, 835, 834, 322, 8091, 257, 1259, 547, 4612, 1945, 899, 513, 960, 540, 1148, 282, 3079, 267, 1142, 1268, 6770, 741, 2189, 5133, 547, 7703, 593, 519, 1843, 789, 616, 11287, 780, 4131, 781, 1589, 827, 713, 538, 2474, 540, 938, 7206, 1383, 269, 589, 4020, 22999, 1131, 2161, 602, 707, 7664, 540, 519, 7206, 568, 6766, 676, 1082, 2188, 267, 1519, 707, 2250, 2833, 609, 1148, 267, 707, 2686, 4282, 267, 707, 4664, 267, 543, 1256, 707, 7099, 693, 602, 1880, 4090, 269, 2353, 540, 891, 1919, 2097, 1927, 547, 948, 596, 1711, 707, 1378, 2189, 1620, 540, 519, 7206, 780, 3086, 1577, 781, 5635, 713, 547, 1776, 10952, 3350, 1572, 632, 18586, 269, 2755, 4020, 13659, 11363, 519, 1909, 540, 1367, 1995, 543, 8226, 538, 5935, 2495, 267, 632, 18586, 6212, 593, 8840 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 631, 14709, 681, 2532, 514, 454, 28893, 4708, 15209, 10136, 723, 2097, 896, 3586, 4323, 2094, 789, 1427, 809, 7033, 321, 4157, 14654, 538, 476, 1001, 274, 269, 4653, 267, 1152, 1978, 2694, 540, 519, 2749, 616, 2808, 2922, 267, 543, 5375, 17631, 616, 13657, 539, 711, 547, 3643, 519, 2749, 2394, 519, 5208, 705, 919, 269, 17421, 676, 631, 14709, 681, 2532, 514, 454, 288, 7911, 6083, 1846, 1524, 519, 20997, 5211, 593, 513, 14039, 5766, 826, 267, 513, 2757, 11308, 10935, 1031, 585, 3560, 543, 10068, 269, 1773, 698, 4240, 676, 7928, 26221, 267, 5689, 328, 3470, 1161, 7361, 1317, 540, 922, 1569, 547, 519, 20997, 267, 519, 3791, 13074, 5757, 538, 4000, 269, 17421, 676, 631, 14709, 681, 2532, 514, 0, 289, 269, 476, 5325, 277, 271, 269, 9050, 2834, 18062, 540, 1114, 15437, 616, 5116, 1985, 547, 1142, 824, 267, 607, 3254, 538, 519, 4137, 269, 769, 1142, 1900, 267, 1079, 11105, 18695, 630, 5976, 513, 3068, 538, 1455, 264, 616, 5828, 998, 1422, 7268, 6234, 476, 3445, 23373, 15132, 315, 264, 827, 519, 7852, 8429, 998, 519, 8998, 543, 13902, 547, 519, 1455, 3068, 269, 1215, 1082, 1114, 12417, 666, 581, 6913, 609, 513, 5311, 540, 971, 3268, 888, 291, 1737, 1467, 1163, 1600, 593, 476, 1015, 5988, 476, 1001, 277, 269, 0, 293, 2948, 924, 476, 1220, 280, 594, 9016, 541, 617, 4053, 615, 454, 5804, 7046, 32098, 15099, 454, 7034, 16256, 11621, 5410, 5962, 454, 7704, 269, 275, 269, 4905, 5681, 3405, 3278, 1344, 998, 1964, 622, 618, 269, 9399, 269, 275, 269, 6349, 22553, 513, 2241, 3919, 540, 1292, 543, 29884, 2093, 593, 513, 1888, 269, 9399, 269, 275, 269, 4962, 21733, 2231, 1344, 4143, 547, 1818, 513, 3375, 269, 9399, 269, 276, 269, 6860, 21964, 1896, 2959, 585, 15388, 1344, 1519, 4704, 543, 16878, 2959, 563, 273, 268, 274, 2395, 630, 327, 2100, 2685, 994, 10743, 786, 581, 2111, 547, 2697, 741, 5172, 594, 9016, 541, 617, 1660, 615, 267, 4766, 602, 1660, 615, 543, 5659, 1946, 602, 1268, 568, 741, 5172, 1660, 615, 563, 17445, 1053, 547, 519, 7329, 10560, 617, 2985, 781, 1660, 615, 17609, 269, 12315, 873, 930, 942, 547, 1413, 998, 519, 1114, 1660, 1667, 602, 786, 581, 10283, 538, 713, 1032, 781, 7329, 10560, 617, 269, 5620, 519, 1053, 2328, 476, 276, 4128, 1946, 602, 1268, 568, 741, 5172, 269, 6435, 1053, 2328, 513, 5037, 609, 513, 1292, 2856, 543, 5885, 3877, 607, 547, 945, 568, 741, 5172, 1660, 615, 563, 7628, 519, 594, 9016, 541, 617, 267, 594, 1616, 1142, 2875, 547, 3950, 741, 5172, 1660, 615, 269, 12344, 789, 1223, 5173, 5195, 829, 5662, 267, 3328, 942, 1063, 2638, 9557, 269, 1358, 1223, 849, 8495, 1018, 7986, 14522, 13664, 2934, 519, 1660, 1667, 3444, 630, 7704, 274, 268, 276, 288, 269, 1691, 1040, 0, 269, 1547, 1547, 546, 522, 454, 344, 522, 579, 561, 1775, 737, 552, 579, 521, 7790, 570, 552, 561, 561, 454, 339, 554, 552, 530, 522, 678, 561, 546, 912, 347, 295, 309, 3722, 1299, 4826, 454, 12709, 1261, 908, 3436, 14333, 623, 7927, 1299, 30166, 2167, 454, 4504, 18166, 14333, 623, 7927, 454, 28959, 27124, 9537, 454, 21511, 1079, 1292, 2010, 540, 8022, 1949, 1031, 547, 1683, 5812, 267, 1256, 8022, 547, 782, 519, 1585, 11623, 543, 9703, 5624, 540, 513, 1753, 616, 7677, 2167, 543, 3002, 15450, 269, 4197, 875, 891, 1949, 960, 543, 519, 3604, 543, 10486, 1063, 873, 568, 16601, 1354, 596, 666, 1118, 606, 5483, 3375, 3823, 519, 6718, 540, 513, 1007, 1062, 585, 707, 1753, 269, 1284, 1683, 606, 2653, 3562, 17000, 3391, 2630, 269, 898, 568, 2854, 547, 581, 3015, 547, 4896, 267, 7488, 540, 707, 1377, 540, 1702, 8198, 3891, 908, 1949, 602, 3636, 519, 3003, 1753, 616, 5219, 547, 607, 3844, 8022, 1317, 3002, 568, 6383, 676, 513, 3844, 1062, 543, 1287, 16487, 2429, 519, 1753, 267, 1034, 4122, 3842, 513, 3060, 540, 28954, 269, 901, 568, 1114, 689, 15409, 28909, 267, 849, 1634, 607, 2230, 28909, 267, 799, 1683, 22297, 8022, 547, 513, 2582, 4055, 543, 798, 711, 8415, 28954, 563, 4913, 267, 3844, 8022, 1949, 616, 849, 3648, 811, 7199, 982, 15409, 28909, 543, 946, 811, 1648, 269, 1280, 1507, 6306, 906, 543, 3810, 6578, 6857, 6800, 267, 15409, 28909, 666, 1683, 513, 811, 10097, 4781, 269, 769, 1840, 267, 15409, 28909, 666, 1118, 513, 2603, 540, 2631, 585, 5624, 799, 616, 1152, 1031, 12212, 267, 971, 607, 6095, 1137, 267, 16437, 267, 3490, 906, 267, 543, 9205, 24259, 269, 1261, 908, 971, 2127, 609, 3844, 8022, 950, 789, 616, 711, 1419, 8246, 568, 513, 3653, 540, 2724, 543, 1648, 563, 763, 1079, 1034, 1455, 2010, 540, 3844, 8022, 1949, 616, 7677, 2167, 543, 3002, 15450, 269, 4014, 7677, 2167, 2611, 519, 1034, 2442, 10821, 8022, 2029, 267, 3002, 15450, 723, 1044, 1818, 1713, 538, 30030, 267, 7361, 1813, 547, 741, 3152, 1648, 4398, 543, 2702, 547, 1683, 711, 1152, 8022, 267, 855, 849, 9023, 269, 2755, 649, 2263, 7677, 2167, 543, 3002, 15450, 538, 3152, 1469, 2663, 538, 519, 1257, 267, 741, 2596, 3017, 814, 547, 798, 609, 875, 789, 3132, 3002, 563, 288, 19460, 5932, 3002, 3842, 513, 8781, 1184, 602, 568, 1031, 547, 3636, 519, 2011, 543, 1287, 15814, 713, 3636, 539, 2011, 2429, 519, 1753, 269, 1635, 4334, 267, 513, 3002, 6802, 5932, 3002, 676, 27300, 3579, 2011, 538, 519, 1753, 609, 15911, 2011, 538, 606, 3544, 4087, 269, 3807, 607, 513, 21067, 5932, 4411, 2011, 676, 13830, 519, 3636, 2011, 3330, 519, 26654, 543, 546, 18804, 621, 883, 519, 10051, 267, 865, 1281, 513, 3002, 6802, 1711, 3636, 2011, 676, 13830, 519, 4411, 2011, 538, 519, 11623, 540, 519, 2777, 543, 546, 18804, 621, 3544, 540, 519, 1753, 563, 23338, 28909, 960, 593, 519, 6240, 540, 9001, 513, 1379, 2707, 547, 2196, 513, 1184, 602, 4679, 519, 2837, 540, 519, 4478, 2011, 269, 1717, 267, 1312, 519, 1379, 2959, 8246, 543, 519, 8022, 3157, 1031, 4268, 1851, 8022, 1949, 269, 22527, 3602, 593, 519, 3135, 267, 649, 2263, 519, 2407, 2039, 540, 2139, 1379, 2959, 543, 3119, 8022, 3157, 269, 769, 713, 3296, 267, 649, 2491, 875, 7677, 2167, 543, 3002, 15450, 960, 593, 513, 2596, 267, 4909, 1377, 269, 2334, 786, 1683, 513, 5748, 585, 519, 4901, 540, 519, 5383, 543, 11393, 540, 1114, 1379, 2959, 543, 8022, 3157, 799, 666, 581, 1336, 538, 824, 6810, 540, 713, 3135, 563, 314, 12988, 547, 5440, 2639, 288, 19460, 568, 513, 2101, 3844, 8022, 27115, 602, 568, 18385, 8704, 3330, 519, 1753, 609, 519, 3483, 540, 3246, 3002, 547, 2901, 782, 267, 610, 513, 5354, 540, 519, 9703, 5624, 269, 634, 2413, 19460, 568, 513, 1796, 29671, 1770, 602, 1281, 711, 2154, 513, 16403, 2284, 585, 922, 5106, 269, 589, 19460, 2112, 916, 519, 2011, 538, 513, 1753, 676, 1210, 513, 8781, 1184, 543, 25935, 3002, 689, 519, 9688, 9362, 563, 23744, 267, 7622, 7677, 2167, 616, 9286, 607, 2901, 968, 1718, 14819, 892, 610, 968, 12061, 268, 1718, 14819, 5608, 4470, 593, 875, 3608, 789, 616, 538, 13830, 3002, 689, 519, 9688, 9362, 269, 30166, 2167, 609, 31931, 540, 476, 3445, 260, 610, 811, 616, 1634, 607, 7873, 14819, 7677, 2167, 1317, 789, 616, 865, 3608, 538, 25935, 3002, 602, 789, 2014, 519, 1216, 11517, 3330, 519, 9688, 547, 7873, 1619, 269, 1452, 7677, 2167, 666, 1683, 1713, 1648, 9806, 3448, 547, 811, 2757, 1875, 268, 1718, 14819, 4559, 563, 288, 19460, 666, 581, 7745, 1524, 883, 1614, 1016, 1606, 2448, 338, 281, 3002, 5108, 267, 3002, 3892, 267, 543, 10512, 8060, 269, 634, 3002, 5108, 3334, 3335, 1331, 519, 6633, 619, 267, 3002, 9401, 9734, 267, 8908, 1802, 1356, 267, 543, 642, 757, 269, 634, 6633, 619, 1683, 513, 18723, 602, 568, 1287, 6537, 883, 519, 3002, 9401, 9734, 607, 513, 1267, 540, 2604, 2813, 676, 519, 8908, 1802, 1356, 269, 769, 2490, 267, 519, 18723, 3123, 513, 13674, 5114, 602, 7472, 3905, 9362, 269, 1306, 789, 1780, 998, 267, 3002, 568, 11843, 689, 519, 3905, 9362, 547, 519, 3002, 9401, 9734, 543, 1031, 547, 3636, 519, 2011, 538, 519, 1753, 269, 1306, 513, 1267, 540, 713, 1184, 267, 519, 9362, 2933, 3579, 543, 616, 1287, 30461, 998, 519, 642, 757, 269, 1879, 6217, 519, 2262, 968, 325, 1248, 864, 5608, 1034, 1004, 1589, 540, 513, 1804, 17285, 4216, 538, 519, 25810, 269, 901, 568, 519, 3002, 5108, 851, 540, 519, 19460, 563, 4913, 267, 10451, 3002, 568, 540, 3908, 946, 8259, 621, 666, 1287, 581, 3927, 7856, 547, 519, 1367, 9703, 5624, 540, 519, 1753, 269, 901, 568, 12913, 3842, 519, 3002, 3892, 1016, 1606, 2448, 540, 513, 19460, 269, 4107, 3335, 267, 519, 3002, 3892, 1016, 1606, 2448, 568, 16922, 540, 513, 3060, 540, 2011, 28954, 799, 616, 13740, 1500, 540, 2901, 4496, 610, 5068, 269, 589, 10178, 9514, 338, 3636, 539, 2011, 883, 3761, 28954, 799, 3142, 621, 883, 519, 1367, 11623, 540, 513, 1753, 269, 11531, 267, 3579, 2011, 568, 15504, 883, 2132, 28954, 543, 6933, 730, 1394, 547, 519, 19460, 269, 2991, 8429, 998, 519, 3002, 9401, 9734, 267, 519, 3579, 2011, 3587, 3636, 2011, 543, 568, 14593, 856, 998, 519, 3761, 28954, 267, 556, 2275, 597, 1529, 908, 1394, 883, 519, 11623, 269, 901, 4783, 5170, 2394, 782, 540, 519, 2011, 538, 519, 1753, 568, 3636, 539, 547, 519, 2556, 2837, 269, 6270, 513, 3002, 3892, 1062, 568, 1634, 607, 606, 968, 1515, 28681, 892, 1062, 563, 7661, 267, 972, 814, 547, 581, 513, 1259, 547, 1852, 519, 5106, 540, 519, 19460, 779, 3002, 5108, 543, 3002, 3892, 1949, 269, 4107, 1004, 616, 5432, 609, 519, 27687, 520, 267, 799, 568, 519, 5007, 1852, 602, 2636, 519, 3593, 547, 1305, 519, 5934, 5551, 4055, 2837, 269, 769, 1840, 547, 519, 27687, 520, 267, 519, 19460, 814, 513, 1297, 540, 4835, 8060, 267, 1519, 519, 3154, 11896, 267, 5337, 3438, 267, 27307, 1852, 267, 18723, 9300, 267, 9514, 518, 1852, 267, 3970, 1852, 267, 543, 18723, 5066, 719, 6467, 563, 4322, 616, 2965, 711, 607, 7294, 607, 741, 4408, 949, 1118, 873, 3100, 269, 634, 3154, 11896, 8060, 519, 2095, 540, 3154, 267, 543, 10741, 950, 519, 27687, 520, 4051, 338, 519, 19460, 547, 2253, 5106, 269, 1879, 519, 3154, 8928, 883, 519, 6633, 619, 267, 621, 568, 5337, 1243, 676, 519, 5337, 3438, 269, 634, 27307, 1852, 568, 513, 2241, 5547, 4604, 602, 3096, 519, 18723, 9300, 547, 3313, 2436, 513, 18723, 568, 1459, 269, 1403, 972, 568, 1100, 18723, 267, 1287, 519, 27307, 1852, 4051, 338, 519, 3154, 11896, 547, 9505, 1055, 519, 2095, 540, 3154, 269, 4495, 519, 6633, 619, 616, 5665, 267, 519, 9514, 518, 1852, 786, 2490, 593, 519, 9514, 518, 5179, 543, 2253, 519, 1184, 540, 25738, 2011, 998, 519, 3002, 9401, 9734, 269, 769, 2013, 519, 19460, 23986, 1846, 267, 519, 3970, 1852, 568, 15181, 543, 4051, 338, 519, 27307, 1852, 547, 3247, 519, 2095, 540, 3154, 269, 6684, 267, 538, 2013, 519, 18723, 568, 711, 1373, 6537, 883, 519, 3002, 9401, 9734, 267, 519, 18723, 5066, 719, 6467, 786, 2014, 519, 3154, 547, 581, 9505, 1055, 269, 1452, 3106, 2934, 616, 1271, 267, 607, 606, 23986, 908, 19460, 610, 16789, 569, 6417, 18723, 666, 1831, 1761, 3595, 10898, 563, 23744, 267, 519, 1114, 3334, 540, 513, 19460, 2861, 3844, 8022, 1062, 666, 581, 30465, 543, 8719, 10446, 540, 835, 1776, 269, 1280, 1383, 267, 513, 1007, 19460, 630, 17742, 5108, 264, 666, 581, 8704, 9001, 2025, 13811, 1740, 630, 17742, 3892, 1040, 589, 29840, 532, 27687, 520, 630, 6016, 1049, 8060, 264, 666, 581, 8719, 1510, 2348, 547, 5372, 2901, 519, 19460, 630, 17742, 5108, 264, 610, 519, 13811, 1740, 630, 17742, 3892, 1040, 634, 1034, 7199, 3334, 547, 5372, 610, 7816, 616, 3622, 519, 6633, 619, 543, 519, 3002, 9401, 9734, 269, 769, 930, 2665, 267, 621, 949, 1118, 811, 2883, 2631, 547, 5372, 519, 3003, 19460, 1770, 2864, 982, 7816, 891, 3334, 563, 314, 12988, 547, 5440, 2639, 2467, 616, 1079, 1292, 2010, 540, 7677, 2167, 267, 19040, 676, 7154, 540, 3002, 3892, 269, 634, 1079, 2010, 616, 281, 3844, 2011, 19460, 1949, 543, 1216, 268, 543, 9252, 2861, 3289, 3055, 1949, 269, 6239, 2011, 7677, 2167, 616, 519, 1034, 2442, 10821, 8022, 1949, 538, 3345, 3013, 543, 789, 960, 676, 12419, 12699, 2011, 689, 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 ]

[ 540, 519, 11401, 269, 594, 16761, 519, 4527, 540, 519, 1788, 9614, 2899, 513, 3018, 607, 1010, 5583, 729, 2629, 585, 519, 12032, 540, 713, 1788, 269, 594, 849, 3893, 519, 4247, 9516, 689, 1864, 547, 2061, 1022, 28842, 1466, 538, 519, 2104, 269, 634, 6364, 540, 1142, 5870, 729, 8045, 2429, 519, 1985, 3018, 543, 594, 729, 3238, 538, 519, 4305, 4058, 269, 901, 1788, 1131, 711, 723, 1044, 6192, 593, 942, 952, 594, 22821, 1406, 5342, 606, 14969, 1353, 593, 519, 1644, 1888, 269, 4634, 1354, 4358, 713, 1788, 267, 594, 8202, 539, 519, 4950, 538, 3406, 540, 1007, 543, 3860, 2093, 547, 2936, 713, 1587, 1374, 269, 594, 4682, 998, 2147, 3785, 543, 4718, 519, 2553, 602, 941, 8045, 269, 5047, 267, 4901, 609, 1250, 2319, 5280, 803, 513, 2603, 547, 12492, 1007, 12485, 543, 1020, 513, 1697, 1544, 585, 519, 1788, 269, 594, 8045, 519, 2504, 4441, 543, 4553, 6789, 10933, 543, 595, 4932, 288, 585, 2417, 5583, 593, 8888, 519, 1587, 563, 296, 4371, 8885, 3743, 585, 4180, 602, 519, 4247, 941, 5645, 856, 9108, 2429, 519, 1788, 269, 1280, 713, 3483, 267, 594, 16761, 519, 2754, 547, 1683, 3106, 2866, 547, 519, 1788, 2319, 547, 10536, 4656, 3823, 519, 1644, 12227, 269, 594, 27058, 519, 946, 540, 5958, 13841, 3684, 1354, 7598, 621, 547, 3035, 3388, 18172, 269, 594, 3177, 8825, 23157, 547, 1250, 8284, 4600, 543, 1500, 621, 25471, 1247, 7231, 609, 5230, 12227, 269, 594, 24892, 519, 2238, 540, 1250, 2319, 8593, 3298, 543, 11461, 873, 998, 2352, 5933, 269, 594, 24458, 602, 1250, 6272, 941, 711, 7133, 519, 1604, 538, 513, 2942, 1259, 269, 594, 5249, 538, 13076, 609, 519, 13013, 11190, 4441, 543, 519, 960, 3106, 3652, 602, 941, 7396, 676, 19413, 14825, 725, 7577, 563, 7628, 519, 1576, 540, 713, 1788, 267, 594, 729, 8362, 3238, 538, 2930, 1867, 1603, 4247, 269, 3733, 4971, 936, 2296, 1893, 568, 3833, 2178, 865, 594, 1031, 713, 5578, 585, 519, 4324, 540, 1250, 2754, 269, 594, 5423, 513, 2143, 2943, 2312, 1867, 602, 7152, 782, 519, 3157, 540, 519, 1788, 267, 4358, 689, 20487, 1353, 547, 9273, 267, 1374, 267, 2504, 267, 543, 10380, 540, 519, 3803, 1587, 269, 634, 1867, 729, 1271, 547, 1832, 513, 2754, 2594, 269, 594, 849, 14360, 519, 9276, 540, 713, 1788, 543, 1500, 2386, 602, 789, 759, 3660, 1369, 519, 6578, 6302, 540, 519, 1788, 269, 1280, 891, 4247, 267, 594, 1031, 9786, 6478, 543, 9786, 9185, 3292, 563, 7069, 1514, 2470, 5280, 803, 547, 1020, 7874, 7554, 609, 519, 1788, 2319, 269, 594, 729, 2111, 547, 2226, 8994, 3972, 543, 4159, 3659, 17349, 609, 782, 519, 2818, 2429, 519, 1788, 269, 594, 5249, 609, 873, 538, 10103, 799, 16866, 519, 8374, 540, 713, 1788, 269, 1284, 11542, 676, 1142, 824, 779, 2427, 543, 19443, 1142, 824, 950, 2877, 269, 594, 11231, 513, 1967, 5428, 1310, 519, 12032, 540, 713, 1788, 547, 5431, 519, 1367, 3646, 540, 1142, 4759, 563, 7069, 4295, 2930, 1702, 540, 7344, 4702, 543, 5663, 3157, 5129, 513, 1883, 1909, 538, 1967, 540, 713, 1788, 269, 594, 729, 2111, 547, 3035, 513, 1164, 2298, 1582, 3146, 335, 1515, 532, 7450, 602, 1558, 519, 8112, 4170, 540, 519, 7218, 269, 5047, 267, 594, 729, 2111, 547, 1118, 1250, 2754, 10583, 269, 634, 1164, 18286, 7450, 609, 31668, 729, 606, 6099, 3070, 538, 2361, 6080, 607, 621, 22485, 6283, 942, 543, 1022, 4960, 540, 1480, 5470, 269, 634, 5506, 540, 4929, 3441, 547, 519, 7450, 729, 849, 4389, 1813, 547, 519, 12747, 2934, 269, 594, 6707, 8045, 519, 4550, 2275, 337, 1662, 1062, 543, 17820, 1250, 1217, 520, 4369, 269, 634, 1587, 729, 9863, 547, 581, 1942, 18026, 267, 3810, 1922, 23341, 267, 543, 4625, 5150, 563, 4467, 7065, 1890, 23227, 566, 7797, 20996, 23910, 7300, 281, 22512, 518, 9210, 28964, 476, 274, 454, 1103, 713, 4876, 12558, 267, 594, 723, 5941, 1250, 2754, 1788, 3823, 9605, 17029, 1782, 1744, 583, 1562, 269, 2311, 602, 942, 267, 594, 729, 6964, 607, 513, 13870, 23910, 693, 519, 19413, 14825, 725, 623, 26404, 13456, 269, 594, 5249, 593, 713, 1788, 689, 30269, 547, 21718, 543, 782, 519, 2238, 941, 1759, 538, 519, 29180, 267, 3127, 563, 27852, 17029, 1782, 1744, 583, 1562, 616, 3833, 3730, 538, 519, 3871, 1141, 3354, 568, 2838, 585, 519, 4055, 602, 568, 538, 513, 14167, 1858, 269, 634, 4170, 540, 891, 5066, 619, 1331, 282, 15006, 267, 4222, 267, 25894, 267, 543, 1970, 5826, 269, 4475, 267, 538, 713, 1788, 267, 782, 891, 4170, 941, 6854, 538, 2247, 547, 1374, 513, 1970, 21057, 12902, 9505, 614, 602, 666, 581, 1031, 585, 5007, 607, 1134, 607, 4835, 5301, 269, 634, 4070, 540, 713, 5057, 729, 2178, 543, 519, 3044, 540, 4959, 476, 277, 2190, 279, 729, 4553, 585, 8888, 5301, 269, 5015, 267, 519, 9165, 3769, 519, 5542, 540, 12902, 9505, 614, 1826, 543, 1225, 1555, 9043, 602, 14018, 519, 7817, 779, 7569, 563, 7628, 713, 1788, 267, 594, 5645, 856, 519, 1739, 4247, 607, 829, 519, 7817, 779, 4170, 3248, 268, 23850, 519, 3595, 11259, 12902, 9505, 1562, 538, 13076, 609, 519, 4959, 476, 277, 2190, 279, 3044, 454, 268, 2961, 3072, 856, 3573, 1382, 547, 1353, 519, 1374, 538, 3178, 454, 268, 28577, 730, 519, 12902, 9505, 1562, 607, 829, 519, 7817, 779, 4170, 543, 4087, 16551, 454, 268, 3038, 3660, 2953, 1570, 9043, 267, 2681, 267, 543, 10155, 602, 14018, 519, 7817, 779, 2679, 454, 268, 10318, 1441, 519, 5078, 7516, 540, 519, 9505, 1562, 3514, 519, 6098, 4087, 454, 268, 594, 8045, 3608, 3435, 547, 2569, 1942, 543, 3002, 2530, 689, 519, 2679, 11623, 454, 268, 8111, 14876, 519, 2818, 540, 519, 4305, 4403, 543, 12649, 741, 12644, 693, 519, 1439, 540, 519, 3018, 454, 268, 16680, 539, 519, 1788, 1239, 543, 5423, 513, 1788, 960, 1867, 585, 519, 2754, 454, 268, 5900, 2105, 11401, 609, 519, 1788, 9614, 543, 519, 7817, 543, 5941, 519, 2042, 267, 9283, 267, 543, 3356, 540, 519, 1788, 454, 268, 11649, 7757, 519, 4441, 540, 9036, 3106, 547, 2327, 602, 1100, 1272, 729, 13155, 1282, 519, 4070, 2238, 454, 763, 10721, 15796, 8711, 1250, 25084, 607, 3254, 2630, 3248, 268, 9608, 7177, 11314, 454, 2690, 519, 1374, 540, 519, 12902, 9505, 1562, 267, 1101, 569, 267, 594, 2966, 519, 5397, 1770, 547, 3888, 621, 547, 519, 9505, 614, 14788, 2047, 269, 769, 2013, 540, 5230, 12902, 9505, 1562, 267, 594, 8045, 5832, 6771, 269, 594, 2966, 519, 5397, 1770, 610, 6382, 1634, 607, 2427, 821, 267, 1210, 513, 21431, 10591, 5627, 513, 17860, 14788, 269, 594, 7471, 3106, 26039, 543, 3970, 17176, 269, 594, 849, 11368, 513, 8261, 5665, 7154, 585, 6595, 2665, 269, 634, 3803, 5057, 1031, 538, 519, 1374, 729, 606, 3167, 5179, 269, 1703, 729, 1100, 991, 585, 606, 3167, 20347, 538, 713, 1374, 607, 594, 1031, 519, 21431, 10591, 609, 519, 1582, 1532, 571, 6362, 4183, 269, 594, 5340, 513, 1906, 9273, 547, 3313, 519, 5551, 6724, 971, 607, 10279, 12773, 267, 20358, 3106, 3815, 267, 8261, 5665, 4452, 267, 8066, 18165, 267, 543, 3977, 3432, 269, 594, 1031, 3864, 3106, 4441, 585, 519, 6388, 540, 713, 1374, 269, 1280, 6595, 8261, 3681, 267, 594, 8704, 1688, 1835, 1678, 543, 1688, 5832, 936, 20183, 269, 594, 1305, 7344, 543, 3059, 7182, 585, 519, 3970, 17176, 563, 296, 5462, 519, 7516, 540, 519, 1062, 538, 28935, 543, 5462, 2930, 3877, 899, 3977, 3432, 267, 10338, 267, 1379, 267, 4027, 2557, 267, 2597, 267, 10279, 12773, 267, 3092, 269, 634, 1788, 849, 3769, 8888, 5230, 10198, 540, 9505, 1562, 269, 1280, 713, 3483, 267, 594, 2966, 18165, 19349, 1062, 269, 1280, 891, 5230, 3595, 15951, 12902, 9505, 1562, 267, 594, 1031, 5832, 6771, 585, 6117, 7271, 269, 901, 14764, 729, 2966, 1210, 513, 28788, 821, 5179, 602, 729, 9280, 609, 513, 7344, 3970, 6467, 267, 3106, 26039, 267, 1808, 23049, 267, 838, 13702, 1115, 267, 5832, 267, 17684, 1305, 267, 3092, 269, 594, 8704, 519, 3106, 20347, 1510, 20950, 538, 519, 1062, 1374, 269, 901, 729, 2944, 547, 9585, 1079, 1919, 282, 585, 519, 9505, 614, 14788, 779, 12946, 1489, 543, 585, 519, 17527, 540, 7344, 20347, 538, 2013, 10231, 7018, 10393, 563, 2414, 2824, 519, 1034, 3617, 3106, 26039, 585, 519, 6069, 1374, 267, 594, 2919, 513, 1434, 1620, 540, 519, 1239, 540, 519, 3106, 26039, 269, 594, 2808, 519, 9505, 614, 779, 2597, 543, 8546, 779, 8006, 585, 713, 3483, 269, 594, 1500, 2386, 602, 519, 11346, 779, 18165, 729, 1447, 538, 1871, 982, 519, 22194, 18165, 585, 519, 5078, 5542, 540, 519, 26039, 269, 594, 849, 2808, 519, 1327, 6362, 18165, 540, 519, 26039, 543, 519, 2324, 3432, 269, 594, 24458, 602, 782, 519, 6724, 941, 1369, 519, 3106, 7182, 269, 594, 5697, 519, 1852, 4559, 585, 519, 1614, 25686, 16546, 1031, 538, 519, 5547, 269, 3973, 267, 594, 6410, 593, 547, 7446, 519, 11741, 10591, 12427, 585, 519, 1374, 269, 1452, 3457, 849, 5129, 741, 851, 538, 519, 3106, 7271, 540, 519, 12902, 9505, 1562, 269, 594, 1305, 909, 519, 1852, 543, 5106, 3681, 585, 519, 1062, 269, 1452, 3769, 282, 16924, 268, 6016, 730, 8060, 267, 6552, 6417, 3681, 267, 543, 3106, 3937, 269, 634, 3334, 1031, 941, 14593, 16181, 267, 476, 272, 7302, 14128, 543, 476, 275, 7302, 14128, 4874, 1998, 550, 10141, 1562, 267, 1102, 571, 268, 1042, 8666, 3250, 338, 267, 5377, 3106, 6316, 267, 1883, 2824, 528, 267, 4232, 1807, 6467, 267, 1166, 4770, 1769, 267, 17513, 267, 3092, 563, 296, 1031, 519, 3595, 15033, 1570, 547, 1374, 519, 12902, 9505, 1562, 538, 1931, 547, 1118, 621, 3595, 16513, 269, 594, 8704, 606, 12747, 7271, 585, 3595, 4027, 1141, 519, 9505, 1562, 6806, 8850, 538, 519, 2013, 540, 3595, 269, 1280, 519, 8699, 543, 6617, 540, 1250, 6272, 267, 594, 5360, 1221, 609, 519, 29172, 268, 5325, 277, 4441, 269, 594, 2966, 519, 1225, 13935, 540, 891, 9505, 1562, 1210, 4411, 18202, 27647, 1242, 5374, 609, 513, 11098, 540, 476, 271, 269, 280, 6515, 269, 594, 2966, 519, 9043, 7475, 547, 3180, 519, 954, 6674, 539, 12632, 18172, 269, 1358, 19275, 741, 14694, 3350, 543, 13988, 519, 1225, 1555, 269, 594, 1031, 7646, 5374, 7285, 607, 2427, 10274, 609, 513, 5078, 2450, 543, 11098, 543, 7923, 873, 609, 1489, 7285, 269, 1358, 6462, 519, 2427, 10274, 543, 6854, 873, 17956, 269, 13689, 593, 519, 8700, 540, 519, 7450, 543, 7143, 4765, 1394, 519, 5377, 7841, 729, 3812, 689, 513, 6366, 3046, 540, 7646, 5374, 269, 594, 9112, 519, 16945, 22902, 856, 540, 513, 8546, 540, 7646, 5374, 543, 7229, 922, 5007, 8006, 543, 11098, 540, 519, 3774, 607, 829, 519, 9505, 614, 3498, 269, 898, 729, 796, 1606, 1440, 2426, 4470, 593, 519, 3498, 269, 594, 849, 2966, 513, 22902, 31455, 609, 513, 11098, 540, 476, 275, 6515, 269, 898, 729, 19034, 609, 3617, 19671, 3728, 22211, 543, 6378, 547, 519, 5374, 2497, 269, 594, 2966, 513, 26372, 4216, 1210, 27647, 1242, 5374, 609, 513, 11098, 540, 476, 271, 269, 280, 6515, 269, 594, 1031, 519, 18674, 31455, 609, 621, 607, 829, 519, 8700, 540, 519, 9505, 614, 563, 296, 1500, 2386, 602, 519, 9505, 1562, 941, 30788, 13234, 269, 1280, 713, 3483, 267, 594, 2838, 519, 6351, 540, 606, 5122, 11653, 269, 594, 1500, 2386, 602, 519, 4238, 540, 2048, 1575, 8730, 2048, 6658, 8730, 543, 2048, 17380, 685, 729, 5645, 856, 9985, 609, 519, 946, 540, 519, 10591, 5179, 543, 7903, 1532, 583, 2023, 7271, 269, 3973, 267, 594, 8045, 10081, 12641, 3151, 7271, 543, 9280, 519, 3595, 9505, 1562, 609, 513, 7271, 540, 519, 535, 639, 1043, 3095, 269, 589, 4166, 607, 476, 10619, 19592, 4181, 17622, 729, 2283, 539, 267, 594, 5950, 519, 5179, 20347, 543, 4847, 519, 8904, 547, 13956, 621, 269, 594, 1031, 513, 5595, 535, 639, 1043, 3095, 547, 19334, 519, 3595, 12902, 9505, 1562, 609, 519, 948, 540, 513, 3595, 15372, 5365, 269, 2201, 8391, 519, 5365, 267, 621, 5950, 519, 5179, 779, 20347, 269, 1677, 31272, 569, 519, 5179, 779, 20347, 267, 594, 1031, 513, 19268, 7485, 7271, 269, 594, 1031, 930, 3334, 585, 519, 4977, 2324, 540, 3595, 12902, 9505, 1562, 267, 891, 3769, 282, 1151, 31734, 609, 606, 10081, 9113, 564, 4183, 543, 535, 639, 1043, 3095, 267, 4874, 675, 628, 2033, 267, 681, 3201, 4778, 547, 5862 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3728, 18445, 547, 581, 2500, 538, 519, 522, 3939, 540, 713, 2783, 267, 5097, 538, 23494, 14968, 610, 17324, 1004, 269, 1306, 540, 1631, 267, 621, 779, 12117, 543, 2557, 540, 1967, 4667, 865, 6825, 602, 2143, 2090, 616, 2907, 538, 3356, 865, 607, 547, 1020, 513, 10551, 5650, 799, 1131, 4166, 1683, 2564, 4324, 547, 782, 31911, 269, 22067, 267, 1577, 721, 10110, 607, 1454, 1344, 607, 2009, 538, 6935, 547, 713, 12316, 10551, 2126, 267, 2523, 519, 1761, 4220, 3238, 563, 288, 19053, 6176, 2201, 9540, 2271, 32347, 1635, 10139, 595, 999, 1280, 12128, 454, 1692, 12128, 1772, 21912, 1677, 9540, 2271, 32347, 454, 21357, 1382, 2798, 2509, 513, 17386, 3095, 1063, 3987, 630, 6943, 476, 273, 264, 543, 519, 5580, 2460, 540, 519, 1507, 16892, 269, 898, 568, 267, 538, 1249, 267, 519, 5580, 851, 540, 519, 1507, 16892, 602, 11729, 519, 2101, 8167, 540, 7280, 1336, 1369, 519, 1062, 269, 769, 2665, 1141, 18558, 616, 711, 2111, 547, 3132, 2614, 610, 1022, 7378, 693, 782, 267, 7280, 14543, 547, 723, 1569, 547, 519, 2281, 7255, 630, 1721, 2504, 540, 1648, 1070, 543, 3079, 2253, 547, 18061, 909, 538, 519, 18072, 269, 901, 1826, 540, 7280, 13250, 538, 519, 1560, 5012, 547, 22612, 543, 1646, 540, 3987, 563, 22033, 6168, 22050, 878, 1635, 10139, 454, 22102, 16892, 610, 23441, 21271, 568, 513, 10551, 7154, 540, 2126, 602, 9247, 3322, 16756, 720, 540, 519, 7181, 865, 607, 547, 5512, 5786, 540, 4430, 1560, 2597, 269, 901, 4359, 5106, 568, 5645, 856, 676, 513, 536, 926, 6222, 18874, 945, 16881, 519, 5250, 540, 513, 1507, 533, 13224, 676, 3296, 532, 1055, 513, 1507, 10126, 540, 519, 15847, 3461, 779, 5580, 7181, 269, 634, 533, 13224, 2813, 568, 5402, 8678, 547, 519, 6967, 630, 23251, 531, 264, 6712, 540, 519, 1507, 16892, 269, 1306, 519, 6391, 20427, 695, 337, 3855, 519, 2450, 540, 519, 7181, 267, 519, 3461, 786, 581, 2111, 547, 8532, 1152, 513, 1507, 8167, 540, 1970, 3170, 267, 2635, 1426, 563, 288, 574, 2986, 9540, 2271, 32347, 1635, 10139, 454, 763, 1883, 30254, 540, 7900, 513, 23441, 21271, 568, 547, 5512, 519, 5906, 569, 17324, 15847, 1367, 547, 6336, 519, 4430, 2597, 269, 2290, 666, 2543, 713, 6391, 607, 513, 5363, 1907, 602, 2306, 621, 4443, 585, 519, 14968, 1268, 547, 1246, 513, 8902, 6197, 602, 267, 538, 2490, 267, 26558, 839, 519, 1184, 540, 8165, 3987, 269, 4340, 547, 519, 2817, 23941, 540, 2657, 267, 713, 12362, 6391, 568, 711, 5227, 1152, 585, 782, 31911, 269, 8307, 1346, 945, 723, 513, 16094, 1164, 19483, 1590, 10929, 971, 513, 2126, 563, 7212, 519, 1292, 2832, 568, 2597, 5786, 267, 1507, 16892, 21271, 3091, 930, 3606, 1072, 829, 802, 1932, 269, 4340, 547, 519, 1977, 9435, 5980, 267, 971, 1004, 849, 1796, 513, 2539, 1981, 540, 7092, 689, 1896, 2010, 540, 2860, 269, 3958, 267, 621, 1281, 3100, 547, 26763, 856, 519, 1966, 540, 2879, 1681, 543, 13119, 1932, 563, 29613, 531, 15443, 573, 919, 1280, 22050, 878, 1635, 10139, 454, 2026, 540, 1631, 267, 713, 1106, 540, 6391, 568, 9244, 5227, 585, 1346, 9038, 543, 8951, 945, 723, 513, 15866, 1164, 1560, 2527, 4994, 630, 289, 11085, 22534, 1657, 476, 2412, 1070, 21828, 10894, 2557, 630, 13696, 305, 264, 568, 1657, 476, 3374, 267, 543, 21276, 569, 7985, 689, 2901, 2295, 1644, 22074, 267, 1164, 1973, 2604, 610, 1826, 476, 273, 3987, 563, 1607, 2126, 1110, 1275, 568, 2808, 4986, 1447, 982, 513, 4154, 3044, 267, 2523, 538, 519, 2136, 2276, 540, 3013, 269, 22050, 878, 21271, 568, 540, 1100, 946, 585, 1346, 7231, 609, 7392, 476, 272, 3987, 22577, 269, 10765, 1239, 6811, 602, 693, 2547, 5216, 2600, 630, 3199, 8472, 540, 1004, 8995, 609, 1826, 476, 273, 3987, 723, 7357, 1044, 23174, 540, 3987, 1310, 18460, 713, 10551, 5650, 269, 769, 2110, 267, 891, 1004, 1100, 3476, 2877, 547, 1491, 7378, 15833, 610, 723, 5711, 4550, 26817, 12185, 5061, 563, 305, 26919, 10276, 25286, 1635, 10139, 26488, 454, 1103, 22748, 343, 10276, 25286, 6391, 630, 305, 25897, 1070, 26715, 30337, 618, 540, 519, 9667, 1062, 568, 5645, 856, 269, 901, 568, 267, 538, 1249, 267, 519, 1034, 11342, 1826, 540, 23441, 21271, 6391, 1851, 824, 2010, 269, 589, 2101, 6712, 540, 519, 7181, 267, 5918, 31829, 636, 267, 543, 5580, 16892, 568, 21271, 539, 267, 543, 519, 30218, 2460, 540, 519, 1507, 16892, 568, 7923, 609, 513, 14320, 1507, 6712, 540, 519, 7181, 269, 14755, 28142, 519, 2179, 540, 1426, 519, 3461, 666, 8532, 267, 22748, 343, 10276, 25286, 6391, 849, 6770, 827, 513, 1689, 538, 519, 10399, 1369, 519, 9667, 1062, 563, 305, 25897, 949, 849, 581, 5340, 3842, 519, 946, 540, 513, 22272, 541, 24005, 1310, 513, 1507, 21092, 1651, 1707, 814, 1044, 1500, 538, 519, 17737, 269, 769, 971, 2665, 267, 519, 6051, 1974, 568, 14320, 27571, 563, 305, 529, 802, 23105, 2060, 22050, 878, 1635, 10139, 454, 6524, 1818, 909, 707, 2247, 3823, 23441, 21271, 6391, 267, 519, 10457, 1590, 4628, 10146, 543, 6218, 519, 1761, 1072, 4220, 543, 8374, 602, 949, 8451, 1312, 267, 1282, 543, 1310, 713, 2126, 269, 26744, 569, 2550, 267, 607, 1134, 607, 1346, 609, 824, 3978, 1072, 2175, 267, 616, 693, 513, 3152, 1981, 269, 589, 28658, 1634, 607, 17696, 937, 12118, 267, 799, 4016, 547, 267, 513, 9864, 12900, 540, 519, 5761, 5160, 949, 6565, 1310, 519, 12032, 540, 519, 6391, 269, 1403, 2620, 7244, 5751, 616, 711, 5340, 1991, 547, 543, 1310, 519, 6391, 267, 713, 2783, 949, 2417, 1291, 547, 519, 1646, 540, 513, 5761, 3968, 1572, 16415, 563, 5194, 1981, 2938, 538, 17324, 1004, 568, 17422, 2377, 565, 1143, 267, 799, 10953, 1813, 267, 547, 561, 17690, 618, 540, 519, 1973, 8052, 4646, 538, 519, 7953, 547, 519, 9641, 269, 901, 949, 1256, 1267, 538, 13487, 8482, 610, 10355, 267, 2669, 269, 667, 18804, 6794, 568, 1776, 1072, 28658, 602, 568, 3006, 2938, 1310, 23441, 21271, 269, 769, 713, 6794, 267, 2589, 540, 13481, 267, 1086, 17508, 543, 13165, 616, 2938, 1813, 547, 22350, 4028, 11144, 540, 519, 1426, 9115, 998, 519, 16892, 563, 16908, 5403, 22050, 878, 1635, 10139, 454, 5629, 519, 6391, 814, 1044, 5340, 609, 1967, 267, 519, 3461, 2115, 547, 20617, 6895, 1018, 543, 875, 1454, 646, 610, 1352, 22655, 269, 1280, 513, 1906, 2395, 1310, 519, 6391, 267, 519, 3461, 786, 581, 6854, 593, 513, 2347, 5277, 2732, 799, 7930, 8441, 883, 10859, 1606, 13521, 3536, 269, 2991, 513, 12732, 540, 1614, 3275, 267, 519, 3461, 568, 538, 513, 1434, 2614, 2783, 547, 3548, 8912, 1426, 3688, 630, 24392, 519, 8167, 540, 7594, 2115, 547, 581, 26483, 1507, 1916, 1432, 1590, 581, 7074, 568, 602, 1312, 267, 31952, 11661, 610, 4028, 4189, 666, 1267, 538, 2589, 540, 1928, 543, 5924, 13481, 269, 634, 2732, 1544, 540, 971, 2550, 5097, 5161, 540, 3940, 3638, 3536, 602, 1590, 581, 1750, 14954, 7444, 543, 5265, 865, 607, 547, 2057, 1646, 540, 667, 18804, 6794, 563, 20124, 15894, 281, 5291, 2517, 4134, 16225, 332, 698, 8872, 2593, 270, 1001, 273, 270, 20657, 270, 3066, 1532, 2988, 817, 258, 269, 7838, 343, 335, 279, 305, 274, 325, 291, 340, 292, 0, 3607, 3163, 5174, 17977, 2657, 11588, 540, 17378, 8690, 454, 292, 1375, 8690, 568, 835, 540, 519, 4922, 10057, 10448, 1472, 519, 31248, 269, 898, 568, 4122, 1634, 607, 20780, 548, 610, 30080, 6199, 710, 269, 901, 2030, 568, 2016, 519, 2012, 4212, 8690, 1813, 547, 519, 1249, 602, 922, 3337, 20998, 519, 4212, 540, 519, 18911, 563, 292, 1375, 8690, 2030, 568, 5702, 1644, 547, 519, 16603, 543, 519, 15837, 269, 9603, 547, 1896, 1072, 2640, 2390, 519, 4616, 540, 519, 4212, 8690, 267, 621, 568, 4922, 10057, 10448, 1472, 519, 8608, 269, 17378, 8690, 568, 2808, 5065, 547, 5607, 563, 292, 1375, 8690, 568, 519, 5993, 543, 21064, 2030, 4470, 593, 519, 2249, 269, 13575, 267, 519, 1272, 4783, 540, 519, 4212, 8690, 16569, 585, 1447, 982, 835, 1032, 269, 901, 2030, 666, 8806, 7390, 519, 4463, 540, 811, 982, 476, 5611, 2578, 12281, 563, 763, 4829, 540, 519, 4212, 8690, 9775, 538, 519, 3337, 267, 2450, 543, 519, 2681, 269, 13575, 267, 519, 3337, 540, 519, 4212, 8690, 568, 24814, 547, 28608, 543, 519, 2681, 9775, 689, 5835, 547, 3039, 267, 13711, 267, 3092, 269, 8056, 1155, 4212, 8690, 568, 3039, 538, 2681, 543, 2242, 547, 9757, 2681, 2390, 15657, 563, 292, 1375, 8690, 9428, 1134, 538, 519, 22465, 1826, 540, 519, 2916, 269, 26478, 538, 519, 9341, 543, 31210, 3148, 11349, 873, 538, 519, 5162, 4005, 563, 292, 1375, 17852, 616, 1419, 9070, 730, 609, 519, 948, 540, 519, 5452, 269, 13575, 267, 5452, 616, 3254, 538, 519, 21543, 267, 799, 3340, 14021, 1416, 543, 3586, 5464, 269, 1879, 519, 2371, 7390, 7850, 2208, 789, 616, 4712, 547, 4483, 543, 616, 16924, 19132, 538, 519, 5078, 4025, 899, 602, 540, 519, 8751, 6737, 630, 272, 1916, 2467, 616, 519, 6592, 2665, 540, 519, 13027, 5114, 593, 519, 4616, 540, 519, 4212, 8690, 269, 2353, 25489, 538, 519, 1114, 851, 540, 519, 1560, 2523, 538, 519, 7181, 267, 2960, 4386, 593, 1896, 2043, 563, 763, 5354, 540, 519, 4212, 8690, 568, 1419, 10057, 1310, 2620, 31068, 269, 901, 20427, 4679, 519, 3170, 1543, 543, 6070, 538, 519, 4212, 8690, 3056, 547, 519, 8801, 1072, 2783, 563, 763, 3404, 531, 919, 1459, 538, 519, 4212, 8690, 1419, 3565, 547, 519, 6149, 5250, 538, 519, 8459, 563, 18814, 547, 519, 1019, 675, 6776, 2470, 540, 519, 4212, 8690, 267, 621, 568, 5227, 547, 8532, 4212, 8690, 538, 20208, 563, 7628, 519, 5969, 1184, 16243, 1869, 267, 2115, 547, 581, 1031, 3079, 540, 519, 3327, 5374, 1813, 547, 519, 1761, 5114, 563, 763, 4212, 8690, 568, 18932, 609, 519, 22556, 540, 519, 1898, 8770, 2838, 8389, 519, 1480, 1560, 269, 15907, 3670, 2600, 540, 519, 4212, 8690, 568, 16922, 540, 519, 19346, 540, 799, 3368, 540, 621, 568, 16922, 540, 519, 8192, 6775, 269, 898, 814, 1472, 835, 2600, 3940, 676, 4320, 543, 519, 30050, 2179, 540, 3170, 563, 763, 8324, 1459, 538, 519, 4212, 8690, 616, 12192, 918, 267, 661, 267, 595, 267, 543, 645, 1950, 6171, 6438, 645, 272, 267, 645, 273, 267, 645, 274, 267, 645, 276, 267, 645, 277, 543, 645, 280, 538, 8795, 2179, 563, 763, 6886, 1459, 538, 519, 4212, 8690, 616, 519, 25289, 267, 11635, 267, 13804, 10901, 267, 631, 22462, 3150, 267, 1912, 6664, 11501, 267, 8000, 9914, 543, 2098, 4532, 538, 519, 8795, 5834, 630, 273, 1916, 10890, 11588, 540, 519, 17378, 8690, 454, 272, 269, 13379, 13809, 454, 292, 1375, 8690, 568, 4105, 585, 9561, 519, 13311, 2597, 689, 519, 1560, 269, 9603, 547, 519, 30050, 2179, 540, 3170, 5916, 609, 519, 1164, 2179, 540, 519, 8192, 6775, 621, 666, 581, 6225, 547, 3489, 519, 2635, 2597, 630, 274, 1916, 763, 2597, 2530, 568, 18965, 676, 519, 6981, 540, 519, 1164, 6775, 2732, 602, 6971, 519, 26002, 540, 519, 1426, 1813, 547, 519, 29723, 1173, 545, 5305, 540, 7280, 538, 519, 1973, 563, 11917, 7295, 568, 6385, 2921, 519, 1106, 540, 519, 15435, 543, 519, 4212, 8690, 814, 519, 4390, 547, 8396, 971, 15435, 563, 1607, 568, 519, 2068, 6825, 676, 519, 10638, 540, 519, 4401, 538, 519, 3232, 2732, 269, 17378, 8690, 5627, 4401, 799, 666, 581, 6225, 538, 519, 8396, 540, 519, 17350, 538, 519, 1480, 1560, 630, 275, 1916, 10702, 267, 519, 4527, 540, 519, 31447, 3679, 20427, 4679, 519, 1072, 2640, 540, 519, 4616, 540, 519, 4212, 8690, 563, 274, 269, 774, 8557, 10819, 454, 292, 1375, 8690, 3568, 10250, 2179, 540, 7601, 267, 799, 568, 4105, 585, 519, 19993, 8647, 540, 519, 11178, 14189, 538, 519, 1480, 1560, 269, 634, 10638, 540, 519, 7601, 568, 1419, 2404, 609, 519, 25983, 1275, 540, 519, 11178, 14189, 630, 276, 1916, 13828, 519, 5409, 628, 21633, 543, 30847, 3123, 519, 8801, 1198, 593, 519, 1480, 1072, 269, 634, 1447, 21131, 11081, 519, 10894, 2557, 4611, 538, 519, 21782, 540, 519, 1560, 2597, 269, 2859, 21131, 540, 519, 11178, 9449, 3123, 4679, 538, 10894, 2557, 3056, 547, 519, 14869, 7771, 538, 3339, 2597, 563, 2005, 4992, 13300, 602, 4616, 540, 519, 4212, 8690, 666, 7413, 519, 1198, 689, 513, 26043, 269, 901, 568, 1813, 547, 519, 1249, 602, 519, 10638, 540, 519, 4401, 568, 3006, 2404, 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 ]

[ 972, 1945, 827, 713, 3510, 602, 594, 666, 581, 18507, 585, 888, 28830, 596, 1491, 585, 11292, 454, 5331, 9561, 930, 540, 519, 1919, 602, 596, 1491, 585, 11292, 267, 971, 607, 707, 1753, 267, 707, 2702, 547, 1294, 610, 5873, 267, 707, 2702, 547, 3802, 267, 610, 4376, 602, 4867, 3947, 596, 4313, 269, 3973, 4952, 3478, 1142, 540, 891, 1919, 1394, 267, 835, 676, 835, 267, 543, 2015, 875, 18507, 596, 1131, 581, 585, 1142, 543, 1169, 3364, 563, 2171, 16620, 938, 6381, 1282, 8090, 540, 11605, 543, 1491, 938, 25736, 585, 11292, 563, 310, 904, 547, 2769, 14696, 454, 268, 5269, 513, 14696, 4760, 543, 693, 519, 1439, 540, 519, 1554, 269, 3503, 538, 621, 827, 519, 2947, 1919, 610, 1004, 610, 3871, 602, 596, 666, 581, 18507, 585, 563, 268, 2561, 3285, 622, 1866, 593, 3232, 4493, 585, 1169, 1507, 1919, 2944, 676, 873, 563, 268, 14484, 532, 593, 519, 2318, 1919, 602, 5949, 547, 596, 563, 268, 29179, 7064, 543, 547, 9301, 519, 2182, 960, 540, 519, 6705, 267, 9240, 6203, 543, 782, 7255, 1268, 1818, 621, 2009, 519, 1426, 547, 2097, 547, 707, 3349, 543, 547, 4196, 707, 14000, 563, 16485, 1978, 1919, 547, 3054, 3232, 454, 268, 1548, 20109, 803, 2221, 888, 268, 5808, 610, 1018, 6273, 803, 2221, 888, 268, 1548, 1500, 803, 12837, 2221, 888, 268, 1548, 779, 519, 1655, 3364, 602, 5949, 2221, 888, 2171, 16620, 938, 6381, 1282, 8090, 540, 11605, 543, 1491, 938, 25736, 585, 11292, 269, 10435, 513, 1592, 540, 4128, 649, 941, 18507, 585, 267, 2337, 721, 547, 5660, 875, 26752, 649, 941, 543, 22348, 713, 593, 3232, 4493, 2337, 721, 547, 1832, 2258, 18356, 693, 15922, 563, 2252, 649, 2259, 10182, 540, 14696, 267, 938, 1272, 21810, 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 ]

[ 0, 1103, 519, 1576, 540, 10654, 532, 681, 13704, 267, 7128, 10492, 1476, 4593, 730, 543, 22646, 1010, 1591, 6049, 269, 2201, 621, 789, 1336, 2963, 11021, 1010, 9525, 538, 513, 5397, 8386, 15246, 563, 16031, 269, 681, 13704, 729, 9901, 609, 13986, 12638, 563, 8601, 782, 602, 267, 519, 10966, 7040, 12199, 602, 519, 7128, 26991, 681, 13704, 779, 19549, 14821, 2924, 676, 10478, 519, 1591, 6049, 538, 1010, 17927, 2390, 1010, 10654, 269, 15845, 540, 13986, 12638, 729, 16934, 585, 3668, 540, 513, 1697, 3406, 15549, 563, 3963, 729, 513, 15549, 2877, 267, 2016, 602, 7128, 10492, 616, 9985, 13886, 547, 4983, 1034, 2168, 3615, 602, 616, 1336, 593, 606, 1367, 1373, 1876, 2685, 18486, 888, 23961, 1206, 2601, 539, 602, 7429, 1034, 2168, 3615, 267, 519, 3059, 9115, 540, 513, 1591, 6049, 9444, 21279, 519, 2168, 3106, 540, 7128, 6862, 1981, 29000, 10654, 4315, 538, 606, 9101, 6862, 21279, 519, 11091, 540, 2963, 269, 634, 1533, 814, 513, 1454, 14758, 1719, 538, 10647, 606, 7525, 3406, 269, 1656, 950, 13326, 1533, 4690, 1996, 519, 1367, 779, 1719, 538, 7834, 267, 1591, 11436, 616, 1114, 538, 602, 789, 968, 2897, 5318, 9424, 540, 2123, 1344, 12777, 538, 519, 3946, 540, 2043, 3034, 23961, 1206, 6170, 513, 2603, 540, 942, 10771, 602, 3803, 1448, 563, 2108, 6524, 1591, 11436, 267, 513, 3406, 540, 513, 1268, 729, 3908, 676, 2168, 19178, 543, 22157, 607, 513, 2489, 2339, 547, 13822, 1152, 513, 7522, 31593, 593, 7834, 269, 4107, 1004, 3112, 561, 1872, 1472, 1169, 4062, 540, 13875, 789, 723, 4607, 585, 519, 2250, 1896, 3275, 267, 1169, 4605, 789, 723, 3144, 267, 610, 1169, 1433, 610, 2376, 789, 723, 1224, 1765, 24335, 1131, 789, 723, 1022, 2601, 547, 3801, 547, 798, 865, 2223, 21662, 6045, 269, 968, 3086, 519, 1268, 945, 568, 711, 8876, 513, 1591, 6049, 267, 609, 782, 621, 3568, 267, 568, 519, 9868, 3034, 3891, 17019, 1010, 15194, 1131, 20818, 513, 11411, 593, 7128, 912, 2171, 3112, 20912, 602, 938, 3375, 2221, 786, 723, 606, 1764, 593, 519, 2702, 540, 1876, 11268, 547, 8396, 6760, 269, 8426, 11436, 723, 1831, 1271, 2645, 538, 14123, 11558, 543, 2792, 1851, 2818, 540, 7803, 16904, 267, 543, 666, 1683, 3407, 1651, 3234, 3215, 1344, 827, 5906, 20737, 563, 3719, 646, 2601, 539, 602, 1256, 513, 1268, 779, 1753, 267, 1141, 4892, 12926, 10150, 519, 5207, 4110, 540, 19549, 14821, 4027, 267, 1522, 2270, 855, 513, 6824, 540, 519, 4357, 3877, 513, 1591, 6049, 1131, 1700, 1700, 663, 602, 7863, 7834, 814, 3790, 563, 2108, 28053, 11436, 616, 711, 1175, 1776, 13418, 2223, 21662, 5206, 269, 968, 4415, 782, 789, 2270, 543, 782, 789, 949, 7866, 267, 789, 3180, 585, 1082, 4892, 2048, 1492, 3051, 9313, 540, 1272, 10200, 2334, 2029, 1631, 2636, 606, 1367, 547, 4163, 971, 1344, 538, 1010, 1688, 1281, 711, 1118, 519, 1344, 1022, 1447, 17709, 540, 519, 4027, 585, 799, 519, 5853, 619, 10692, 269, 3776, 2626, 547, 519, 2243, 540, 1018, 7128, 1590, 798, 1354, 10478, 513, 1591, 6049, 25868, 10071, 547, 606, 10654, 568, 9935, 2241, 1765, 1205, 513, 15549, 3034, 30706, 2094, 267, 513, 15549, 814, 1044, 2838, 547, 3406, 519, 1591, 11436, 540, 1004, 945, 616, 1373, 18486, 267, 1256, 585, 519, 1034, 3978, 10963, 269, 1656, 602, 3044, 12651, 513, 2243, 281, 0, 1278, 1913, 585, 22300, 454, 13052, 21283, 4041, 590, 7728, 27301, 2464, 20978, 5990, 25723, 289, 454, 28074, 3606, 2963, 1223, 11593, 581, 2016, 547, 9414, 713, 22300, 5169, 563, 1103, 519, 5755, 3800, 616, 1336, 519, 544, 17026, 1221, 3788, 540, 891, 22300, 598, 28875, 563, 288, 7156, 540, 519, 1646, 540, 519, 6575, 540, 6189, 267, 17001, 267, 543, 7206, 689, 22300, 5712, 547, 2487, 2053, 563, 9213, 267, 607, 538, 22300, 2053, 267, 519, 2551, 540, 713, 1858, 568, 13671, 2059, 519, 5757, 563, 763, 2963, 609, 2543, 547, 22300, 10255, 568, 1454, 811, 2347, 563, 5445, 616, 855, 606, 16315, 267, 711, 513, 6169, 267, 540, 22300, 18813, 640, 563, 303, 792, 3149, 941, 519, 1101, 21889, 4362, 543, 1031, 607, 610, 23788, 538, 22300, 6502, 563, 6781, 913, 519, 13675, 540, 519, 1309, 10722, 517, 519, 20209, 1878, 540, 22300, 1272, 2253, 563, 288, 3095, 568, 3976, 13859, 799, 11438, 1394, 519, 1686, 547, 519, 1918, 2065, 543, 29631, 5712, 267, 538, 713, 2013, 267, 22300, 563, 5141, 2426, 684, 5112, 8498, 267, 986, 3387, 1782, 22290, 519, 5757, 1849, 684, 267, 814, 513, 1134, 3146, 560, 1819, 5939, 267, 1166, 1678, 539, 676, 513, 22300, 6084, 15252, 563, 27516, 22300, 5442, 589, 590, 7728, 9970, 454, 18794, 938, 2038, 512, 22246, 256, 6423, 875, 707, 4845, 5654, 609, 1114, 19655, 269, 0, 16675, 6807, 267, 14662, 630, 16703, 5183, 7641, 994, 763, 5455, 12248, 787, 3778, 7467, 538, 5682, 6807, 568, 8600, 1896, 15225, 538, 11812, 540, 4563, 3778, 13600, 2429, 5988, 2676, 10501, 1807, 540, 26888, 26701, 2088, 24125, 3724, 1767, 593, 3465, 6342, 4303, 267, 5988, 476, 1704, 689, 476, 274, 268, 277, 6751, 789, 786, 3984, 606, 2680, 547, 29428, 519, 476, 2004, 628, 7788, 15208, 540, 519, 5610, 540, 3506, 1369, 519, 5682, 6807, 6019, 3427, 10588, 563, 295, 1941, 3724, 1767, 519, 2680, 786, 4183, 5711, 12583, 543, 2984, 5143, 676, 5449, 1053, 543, 741, 1920, 2818, 945, 13984, 5682, 6807, 6019, 3506, 1282, 519, 476, 3422, 271, 268, 3583, 338, 563, 2467, 786, 849, 581, 1153, 543, 8664, 8357, 8494, 807, 593, 4159, 607, 1134, 607, 11147, 543, 513, 3381, 4730, 538, 519, 2912, 3218, 1756, 563, 8448, 15225, 593, 4159, 1519, 11147, 540, 513, 2693, 2619, 540, 519, 11895, 16456, 543, 2984, 689, 1346, 3238, 538, 519, 3540, 2924, 3350, 563, 2690, 811, 593, 519, 9754, 3643, 741, 3896, 5291, 2517, 4178, 269, 1575, 12248, 787, 20931, 3820, 270, 0, 763, 1325, 1889, 568, 513, 476, 6795, 10275, 559, 2210, 516, 630, 4391, 11465, 264, 1279, 5757, 538, 3345, 10910, 710, 8862, 652, 13921, 807, 267, 5125, 269, 898, 568, 513, 2451, 29815, 776, 540, 519, 700, 2089, 324, 267, 883, 799, 621, 8928, 2282, 22087, 8538, 1941, 269, 634, 1325, 1889, 11225, 519, 1325, 1889, 9503, 543, 8928, 998, 519, 10034, 645, 6686, 1066, 267, 16907, 7770, 543, 22087, 8538, 1941, 563, 27242, 15038, 1475, 22144, 22430, 544, 630, 272, 267, 6344, 10264, 10245, 347, 21920, 1475, 6795, 269, 275, 5998, 630, 3607, 269, 280, 11465, 264, 11406, 347, 15368, 514, 2450, 1475, 278, 8287, 5998, 273, 630, 27768, 13483, 11465, 264, 11406, 347, 3682, 326, 1833, 1475, 299, 2089, 324, 20681, 10910, 710, 20681, 3345, 7256, 2008, 14503, 797, 540, 476, 3422, 276, 31171, 454, 1103, 5147, 476, 3422, 276, 513, 14042, 6360, 7018, 267, 799, 2968, 851, 540, 6237, 1686, 607, 513, 2899, 2987, 8584, 3620, 4348, 26188, 14700, 543, 568, 15422, 676, 17137, 607, 519, 834, 3891, 514, 5341, 338, 4148, 583, 257, 630, 30875, 781, 4303, 24627, 1040, 2991, 5230, 11811, 338, 689, 5147, 476, 1428, 998, 547, 476, 1704, 630, 3467, 982, 476, 13670, 561, 8276, 273, 1070, 3490, 906, 941, 27876, 269, 769, 519, 8498, 540, 654, 1168, 1564, 7921, 513, 8115, 25540, 267, 606, 8136, 1094, 3899, 1770, 1185, 547, 581, 4547, 538, 585, 9568, 8323, 269, 6790, 1115, 5828, 883, 5757, 15135, 267, 16749, 543, 1668, 6808, 1185, 547, 581, 11074, 267, 476, 1626, 1004, 5747, 269, 1306, 513, 12343, 540, 519, 6360, 267, 799, 849, 3576, 538, 519, 29815, 2456, 540, 519, 1325, 1889, 543, 519, 700, 2089, 324, 5757, 3294, 267, 519, 834, 310, 817, 13996, 7171, 5136, 699, 700, 2089, 324, 257, 630, 4580, 585, 16935, 2359, 540, 519, 5580, 700, 2089, 324, 5757, 264, 729, 8547, 267, 835, 540, 4171, 6663, 568, 547, 2061, 610, 11574, 1022, 3441, 602, 949, 581, 3361, 676, 2417, 17160, 5631, 676, 1259, 540, 2679, 30969, 30520, 563, 14503, 797, 540, 476, 1220, 278, 31171, 454, 4002, 4864, 476, 2420, 267, 476, 1220, 278, 519, 1325, 1889, 5757, 16802, 922, 8492, 1472, 519, 4884, 540, 645, 6686, 1066, 267, 1310, 5230, 11811, 338, 540, 930, 476, 3583, 561, 8276, 273, 538, 519, 1576, 540, 835, 3781, 269, 769, 519, 8498, 540, 1284, 710, 519, 6360, 1377, 25295, 602, 540, 476, 3422, 276, 269, 4634, 1498, 519, 6360, 729, 1447, 27789, 538, 1198, 982, 519, 834, 3891, 514, 5341, 338, 4148, 583, 2580, 3506, 538, 645, 6686, 1066, 1185, 547, 9096, 2038, 543, 6494, 519, 10453, 1753, 267, 930, 10754, 2968, 791, 817, 762, 269, 476, 13136, 2199, 23001, 16146, 6462, 676, 6595, 3210, 4559, 540, 8946, 310, 267, 667, 28384, 294, 543, 19010, 298, 941, 18611, 547, 2312, 856, 27876, 3490, 906, 610, 547, 2149, 8075, 538, 1970, 12406, 676, 30528, 5070, 321, 4711, 563, 268, 10281, 5766, 1429, 545, 30615, 540, 519, 715, 305, 310, 3557, 8433, 585, 7186, 267, 519, 5113, 543, 19901, 10466, 630, 294, 1168, 7564, 1087, 13996, 2763, 747, 23036, 964, 8092, 525, 600, 5052, 24166, 715, 4405, 267, 772, 332, 342, 3881, 3768, 7638, 3630, 1075, 1667, 577, 583, 345, 715, 305, 310, 476, 1001, 271, 264, 630, 343, 3149, 282, 476, 275, 269, 6858, 15406, 994, 268, 834, 3891, 514, 5341, 338, 4148, 583, 257, 593, 4436, 9504, 1496, 18431, 27366, 593, 476, 1001, 279, 268, 5881, 268, 2420, 2639, 268, 14216, 1975, 20672, 601, 689, 476, 3422, 276, 268, 5881, 268, 2764, 630, 23389, 1152, 282, 2063, 27366, 593, 476, 1001, 279, 268, 5881, 268, 2420, 994, 268, 901, 1297, 2882, 711, 1152, 519, 25096, 538, 1325, 1889, 267, 1325, 1084, 879, 543, 700, 2089, 324, 1858, 267, 855, 782, 9601, 538, 519, 9568, 1858, 267, 799, 6905, 607, 2484, 607, 774, 6686, 2590, 523, 267, 590, 778, 11420, 268, 2304, 327, 5306, 267, 543, 29017, 3415, 269, 6423, 834, 3891, 514, 5341, 338, 4148, 583, 257, 593, 4436, 9504, 282, 32647, 269, 834, 3891, 514, 5341, 338, 4148, 583, 257, 593, 519, 19534, 540, 4436, 16661, 6796, 667, 310, 291, 630, 21671, 538, 4436, 264, 1496, 18431, 27366, 593, 476, 1001, 279, 268, 5881, 268, 2420, 316, 634, 2669, 17167, 538, 519, 3148, 568, 2016, 607, 476, 1556, 593, 4436, 9504, 538, 519, 2376, 834, 310, 817, 13996, 7171, 5136, 699, 700, 2089, 324, 4840, 268, 834, 32056, 654, 817, 13996, 7171, 5136, 699, 700, 2089, 324, 630, 310, 5357, 264, 530, 584, 1372, 476, 3192, 272, 13153, 3954, 2481, 531, 3394, 918, 516, 17470, 645, 6686, 1066, 267, 22087, 8538, 1941, 3768, 700, 2089, 26684, 339, 620, 338, 1234, 752, 5406, 14193, 325, 5884, 26081, 5341, 338, 4148, 583, 12154, 476, 1626, 11607, 1704, 269, 7325, 328, 476, 3422, 276, 575, 1122, 337, 6686, 526, 564, 1701, 630, 4958, 7205, 689, 5291, 2517, 4178, 9884, 565, 5991, 337, 342, 19709, 270, 476, 1001, 279, 268, 5881, 268, 2420, 994, 268, 1294, 5037, 1657, 610, 7127, 834, 3891, 514, 5341, 338, 4148, 583, 257, 593, 4436, 9504, 0, 290, 27641, 5675, 476, 272, 281, 13317, 543, 9540, 16707, 910, 5292, 269, 476, 272, 676, 623, 1122, 30510, 269, 6435, 1053, 1451, 543, 2259, 1603, 519, 9904, 1210, 25777, 5022, 609, 713, 7792, 4976, 10023, 1312, 513, 2757, 26627, 27664, 543, 27608, 269, 2296, 22843, 538, 595, 27641, 5675, 16592, 2013, 568, 2854, 676, 8108, 513, 853, 6593, 269, 1809, 891, 853, 6593, 3085, 1405, 6443, 609, 519, 2539, 2013, 563, 296, 4312, 2097, 2066, 1079, 8747, 540, 1603, 513, 3854, 717, 543, 513, 3854, 808, 538, 25777, 269, 594, 3112, 1174, 799, 835, 568, 2953, 1317, 9504, 2982, 602, 519, 3854, 717, 689, 1250, 1837, 568, 267, 538, 1249, 267, 519, 3854, 808, 689, 9504, 543, 13030, 268, 951, 320, 907, 26681, 25777, 3854, 4484, 568, 2369, 529, 762, 547, 803, 607, 513, 4484, 540, 519, 2296, 9904, 269, 594, 1131, 711, 563, 21652, 8586, 585, 3214, 269, 5131, 4245, 547, 4001, 3214, 543, 4079, 875, 547, 2328, 26897, 267, 2338, 267, 5220, 267, 23573, 1153, 267, 30920, 267, 543, 1256, 741, 2012, 256, 20308, 2979, 971, 607, 1840, 267, 12408, 267, 8691, 267, 543, 6498, 269, 5053, 3211, 563, 8794, 606, 813, 547, 2328, 891, 5022, 568, 4443, 2094, 835, 786, 1152, 1826, 3625, 5022, 538, 519, 13691, 267, 543, 519, 25777, 5022, 786, 8850, 2097, 856, 593, 519, 5496, 269, 769, 930, 8924, 971, 607, 9786, 2262, 267, 835, 666, 2328, 606, 3003, 2408, 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 ]

[ 276, 20853, 540, 645, 658, 779, 556, 26047, 1039, 476, 273, 1700, 274, 20853, 540, 1449, 3070, 543, 3636, 9900, 538, 513, 3905, 1216, 8602, 585, 476, 273, 2381, 2373, 1547, 634, 5250, 540, 513, 17824, 880, 3039, 1587, 568, 22566, 540, 20008, 4680, 269, 1261, 343, 4680, 3622, 2746, 547, 1106, 544, 28854, 6960, 2472, 563, 278, 264, 594, 617, 710, 4530, 912, 11754, 476, 273, 12772, 540, 22752, 3070, 547, 827, 476, 273, 20853, 540, 519, 19346, 5627, 1449, 3070, 269, 589, 4544, 3109, 7990, 568, 4767, 799, 568, 22566, 540, 4527, 540, 30713, 30828, 563, 279, 264, 14642, 1794, 821, 4530, 912, 2414, 476, 271, 269, 276, 575, 540, 4307, 2643, 5139, 23432, 710, 8652, 18608, 728, 1039, 476, 271, 269, 272, 6121, 540, 9770, 21449, 622, 543, 4557, 12772, 540, 30961, 1035, 2045, 3679, 269, 5410, 476, 276, 20853, 540, 1449, 3070, 547, 713, 7848, 543, 3002, 896, 14495, 1216, 8602, 585, 827, 3368, 606, 5662, 269, 15346, 519, 3070, 7444, 543, 4983, 519, 14848, 896, 513, 17209, 269, 10261, 548, 11057, 5835, 15259, 1794, 821, 14848, 786, 581, 4767, 585, 7280, 543, 535, 28229, 6466, 14915, 657, 1794, 821, 2982, 25487, 8032, 543, 28915, 846, 7472, 8768, 11057, 14848, 563, 273, 268, 274, 12772, 540, 12498, 5991, 7469, 628, 565, 3070, 568, 3773, 547, 476, 273, 6447, 540, 519, 1449, 3070, 269, 15020, 9900, 3773, 476, 272, 6447, 540, 19270, 269, 670, 273, 12569, 275, 2059, 519, 2427, 540, 519, 1449, 8546, 563, 288, 2620, 642, 14489, 32442, 568, 3812, 693, 519, 22882, 540, 1079, 6106, 563, 15430, 775, 540, 11950, 563, 1607, 568, 1813, 547, 519, 5250, 540, 606, 18633, 28198, 1587, 540, 12498, 5991, 7469, 628, 565, 609, 9663, 325, 1116, 630, 335, 22004, 676, 519, 18024, 540, 519, 19346, 994, 275, 268, 276, 12772, 540, 22752, 3070, 568, 3773, 547, 476, 272, 6447, 540, 519, 1449, 3070, 543, 6404, 519, 9115, 9900, 454, 23325, 7990, 568, 4767, 454, 15430, 775, 540, 30713, 21839, 728, 454, 296, 617, 710, 3029, 25549, 23455, 1632, 23838, 609, 30713, 30828, 454, 10666, 476, 273, 16720, 540, 4006, 3070, 568, 3773, 547, 827, 476, 273, 16720, 540, 3171, 327, 1782, 779, 3070, 3144, 538, 513, 1449, 2389, 4209, 269, 898, 568, 1287, 23017, 585, 476, 1015, 1295, 454, 288, 2699, 10511, 10028, 568, 4646, 454, 15430, 775, 540, 4227, 4006, 454, 1607, 568, 1813, 547, 519, 5250, 540, 7484, 9317, 12547, 676, 519, 4227, 2962, 540, 519, 4006, 563, 2414, 476, 276, 16720, 540, 31409, 781, 3070, 267, 1039, 476, 272, 6447, 540, 519, 1449, 3070, 543, 21199, 1142, 8546, 269, 9255, 519, 8546, 538, 513, 14495, 1216, 8602, 543, 3002, 585, 476, 274, 3764, 269, 17179, 519, 13740, 689, 519, 3002, 543, 1450, 873, 547, 3579, 563, 13528, 566, 540, 513, 3039, 267, 2699, 267, 610, 5835, 10511, 10028, 454, 15430, 775, 540, 4227, 14836, 454, 2252, 519, 5485, 10420, 728, 568, 513, 4227, 4006, 621, 786, 2569, 21019, 1496, 290, 340, 316, 630, 1556, 264, 12274, 547, 19923, 263, 272, 264, 12547, 267, 513, 2699, 10511, 10028, 454, 2414, 476, 273, 16720, 540, 519, 3070, 547, 581, 7318, 3773, 476, 273, 16720, 540, 28448, 5423, 4446, 325, 334, 539, 781, 556, 26047, 269, 9255, 1449, 13740, 883, 513, 14495, 1216, 8602, 543, 3002, 585, 476, 274, 3764, 269, 14190, 547, 3579, 563, 288, 2620, 4544, 7990, 568, 4646, 609, 513, 2699, 533, 696, 269, 23928, 1524, 693, 519, 5377, 610, 5011, 540, 519, 1449, 8546, 563, 15430, 775, 540, 4227, 14836, 1496, 1952, 30970, 540, 513, 2699, 533, 696, 607, 513, 6094, 4670, 693, 519, 5377, 540, 519, 1449, 8546, 1369, 476, 274, 268, 276, 1295, 269, 568, 22566, 540, 4227, 1395, 334, 1606, 21839, 728, 269, 1403, 519, 533, 696, 5250, 3217, 811, 942, 1287, 621, 568, 513, 4227, 771, 21839, 728, 454, 2252, 519, 5485, 10420, 728, 568, 513, 4227, 4006, 621, 786, 2569, 19923, 630, 1556, 264, 12274, 547, 19923, 263, 272, 264, 12547, 454, 2414, 476, 274, 6447, 540, 540, 590, 7942, 9774, 4752, 779, 556, 26047, 267, 1039, 476, 272, 6447, 540, 519, 1449, 3070, 267, 14974, 538, 1216, 8602, 585, 476, 273, 3764, 454, 288, 22269, 2699, 11954, 10511, 10028, 1369, 476, 276, 8792, 568, 5833, 454, 288, 25861, 2699, 7990, 3812, 454, 15430, 775, 540, 11337, 4680, 454, 314, 306, 1075, 13427, 3947, 513, 2318, 27520, 28411, 846, 1449, 23378, 15430, 775, 540, 620, 323, 4680, 454, 2691, 2746, 539, 609, 590, 7942, 9774, 4752, 556, 26047, 267, 11337, 4680, 2746, 1369, 476, 273, 3764, 8108, 513, 22269, 2699, 28198, 1587, 454, 288, 671, 641, 550, 4680, 2746, 7444, 8108, 519, 25549, 28198, 1587, 454, 11754, 476, 274, 6447, 540, 645, 658, 779, 556, 26047, 547, 476, 271, 269, 273, 6447, 540, 519, 1449, 3070, 269, 3002, 519, 3070, 538, 513, 14495, 1216, 8602, 585, 476, 273, 3764, 454, 288, 4544, 25984, 1587, 454, 288, 544, 28854, 6960, 547, 12457, 1587, 454, 15430, 775, 540, 20008, 4680, 454, 15430, 775, 540, 15279, 4680, 2676, 763, 9663, 325, 584, 1023, 4646, 7472, 28198, 2472, 609, 1808, 7990, 454, 10521, 1079, 16720, 540, 519, 1449, 3070, 267, 3773, 476, 274, 6447, 540, 4307, 2643, 3289, 23432, 710, 8652, 18608, 728, 3070, 543, 3575, 269, 5901, 538, 513, 14495, 1216, 8602, 585, 476, 1789, 332, 1206, 269, 15346, 519, 3070, 543, 7747, 519, 14848, 896, 17209, 563, 13528, 566, 540, 4190, 5835, 14848, 540, 15259, 1794, 821, 454, 23921, 548, 8032, 14848, 454, 26422, 17810, 8032, 14848, 454, 15430, 775, 540, 26178, 454, 15430, 775, 540, 28915, 846, 454, 305, 14445, 532, 14836, 3029, 12063, 1794, 821, 593, 8156, 609, 4307, 2643, 5139, 23432, 710, 454, 11795, 3720, 7402, 11323, 538, 513, 7464, 12524, 912, 1103, 606, 4890, 8047, 4259, 267, 972, 616, 1978, 1271, 3268, 602, 616, 711, 8209, 10858, 538, 513, 5691, 2978, 912, 29490, 5957, 2978, 10359, 543, 17309, 950, 596, 616, 538, 519, 2978, 269, 1879, 596, 4283, 519, 2978, 267, 1873, 3558, 593, 519, 9688, 10178, 543, 1118, 2386, 602, 782, 519, 556, 698, 757, 2838, 585, 519, 4603, 616, 2139, 269, 1403, 621, 568, 711, 2139, 267, 5965, 519, 556, 698, 757, 1210, 519, 3334, 585, 556, 26047, 7041, 563, 22512, 1058, 581, 3144, 1247, 7829, 1309, 755, 545, 7408, 899, 19270, 269, 590, 17139, 584, 545, 3679, 1496, 295, 273, 12569, 275, 3910, 6491, 878, 3679, 1496, 295, 17472, 274, 3910, 31527, 18608, 545, 3679, 1496, 295, 5141, 4940, 1452, 7408, 1058, 581, 8118, 543, 1031, 538, 674, 9331, 292, 9816, 7495, 1152, 269, 6452, 1211, 531, 21383, 540, 891, 7408, 786, 2014, 4049, 17236, 543, 21422, 269, 25169, 519, 838, 2683, 1858, 609, 4411, 1216, 543, 1217, 519, 2978, 13930, 5612, 563, 2691, 31406, 28355, 568, 5423, 267, 1118, 2386, 602, 621, 568, 17411, 609, 1416, 607, 519, 9770, 28355, 3070, 568, 1309, 755, 545, 538, 2470, 563, 29490, 2638, 519, 1216, 1377, 538, 519, 1216, 8602, 543, 952, 621, 568, 909, 547, 519, 1377, 1496, 333, 22022, 3368, 519, 4320, 3910, 6467, 593, 519, 1216, 8602, 543, 4188, 547, 519, 2838, 2837, 269, 6875, 1416, 1247, 1210, 519, 1216, 8602, 585, 519, 14495, 1900, 538, 519, 4603, 269, 15579, 519, 1449, 8546, 1210, 513, 1449, 8546, 23649, 563, 2467, 1058, 581, 513, 8167, 1063, 519, 556, 698, 757, 3773, 543, 519, 1449, 3070, 547, 3489, 1434, 1267, 1369, 519, 942, 5018, 269, 634, 5323, 13827, 1031, 1058, 711, 581, 6404, 1063, 519, 556, 698, 757, 267, 2141, 946, 1367, 5323, 13827, 585, 1142, 556, 26047, 563, 763, 2681, 4646, 786, 4096, 2390, 519, 2298, 540, 519, 556, 698, 757, 269, 1924, 1416, 1058, 581, 3144, 1247, 8600, 519, 556, 698, 757, 269, 1403, 20749, 2139, 556, 698, 757, 616, 1031, 26924, 602, 621, 568, 711, 6854, 1930, 585, 1279, 942, 563, 27662, 519, 1449, 13740, 543, 4837, 3649, 637, 609, 12853, 543, 30341, 1216, 269, 1234, 5115, 519, 556, 26047, 14569, 2899, 519, 4603, 568, 6192, 269, 634, 1216, 8602, 543, 519, 9688, 10178, 1058, 581, 23564, 1055, 4586, 15648, 7711, 476, 1001, 274, 7201, 519, 715, 10933, 23559, 11036, 540, 631, 16281, 291, 454, 303, 10062, 676, 2549, 761, 320, 14044, 6997, 20985, 25957, 1496, 7638, 476, 271, 269, 273, 269, 10602, 9948, 0, 288, 2582, 9594, 5444, 267, 22804, 312, 7498, 3674, 519, 7915, 24572, 540, 3023, 563, 1103, 1249, 621, 568, 17252, 3633, 3633, 952, 835, 568, 547, 581, 4535, 5256, 267, 585, 972, 568, 1100, 6697, 30124, 8108, 5444, 563, 2791, 1294, 267, 3025, 6238, 856, 4775, 563, 314, 16129, 15328, 21573, 18225, 316, 11109, 1079, 28486, 568, 4105, 585, 4638, 12093, 269, 901, 949, 3100, 606, 6654, 1249, 547, 1034, 540, 721, 267, 855, 621, 779, 711, 971, 606, 6654, 1249, 585, 27563, 269, 4595, 12423, 519, 2048, 339, 3419, 3455, 5444, 685, 811, 982, 476, 736, 1296, 3516, 602, 7140, 513, 3384, 1480, 21872, 883, 513, 5256, 267, 972, 779, 1044, 513, 3126, 540, 8906, 267, 1142, 811, 9670, 982, 519, 2063, 267, 547, 1397, 602, 519, 6090, 602, 3313, 3023, 4268, 3552, 569, 2066, 519, 3529, 540, 1272, 543, 11457, 3533, 563, 1103, 3425, 267, 3023, 568, 5462, 676, 519, 4527, 540, 513, 2582, 9594, 5444, 267, 1572, 22804, 312, 267, 1336, 593, 519, 11527, 5737, 962, 15694, 538, 9038, 630, 15367, 723, 835, 2473, 543, 835, 962, 15694, 1040, 589, 2582, 9570, 540, 519, 22804, 312, 5444, 12153, 513, 22107, 1228, 540, 2621, 602, 1267, 538, 519, 21872, 3384, 1449, 525, 563, 2467, 568, 1100, 6697, 9065, 776, 268, 14127, 5444, 269, 1717, 267, 950, 519, 22804, 312, 5444, 568, 711, 1459, 267, 607, 609, 8951, 945, 4865, 1079, 2473, 15954, 267, 519, 21872, 10953, 30124, 543, 519, 1964, 540, 519, 4775, 10285, 1062, 563, 10521, 2516, 540, 3173, 4362, 22804, 312, 10446, 538, 476, 1960, 271, 269, 3973, 267, 950, 789, 6743, 693, 8983, 267, 789, 1336, 513, 1360, 2147, 9594, 5444, 269, 1280, 513, 1247, 267, 621, 729, 3592, 513, 8483, 821, 3932, 602, 972, 729, 513, 2582, 5444, 602, 15427, 519, 3604, 1063, 519, 28486, 538, 1034, 267, 952, 711, 782, 267, 30900, 269, 1496, 5649, 2859, 2639, 8601, 713, 1376, 1782, 1249, 602, 3025, 6238, 856, 4775, 543, 602, 6090, 616, 2877, 547, 581, 3773, 547, 1118, 9038, 888, 293, 655, 2297, 616, 1869, 2938, 607, 1447, 563, 4517, 676, 2048, 1652, 685, 594, 1611, 607, 519, 2040, 540, 2694, 7498, 2252, 711, 1447, 563, 314, 16129, 11660, 1977, 316, 3776, 4858, 1231, 6423, 9093, 607, 19940, 543, 6468, 607, 20668, 454, 288, 19214, 693, 519, 12139, 24646, 538, 1022, 2706, 21466, 2638, 719, 1899, 786, 2995, 596, 602, 2021, 616, 4749, 519, 1445, 540, 4638, 1843, 2305, 269, 3767, 267, 1007, 1382, 9060, 602, 519, 2634, 2965, 3157, 2592, 540, 2021, 8335, 982, 1346, 540, 2367, 267, 7700, 547, 713, 7678, 563, 18131, 616, 811, 2693, 547, 581, 13603, 6306, 676, 519, 2634, 543, 2938, 607, 2694, 2864, 982, 513, 2898, 267, 2687, 547, 1382, 3370, 2228, 4873, 476, 3066, 538, 519, 3864, 4750, 540, 4317, 10017, 269, 9093, 267, 593, 519, 824, 1688, 267, 616, 9268, 607, 513, 2898, 2864, 982, 519, 2040, 540, 741, 2694, 563, 2108, 9336, 1485, 267, 8723, 2021, 616, 1373, 4389, 547, 741, 4638, 1560, 2694, 2223, 1767, 1353, 2278, 8861, 717, 969, 9820, 267, 513, 18673, 693, 519, 2160, 540, 27228, 267, 12493, 269, 968, 1607, 3884, 1406, 1175, 1945, 602, 2706, 7116, 1564, 610, 27127, 6801, 723, 547, 4308, 609, 1848, 1496, 277, 13834, 3733, 2195, 267, 645, 755, 539, 2639, 19617, 2730, 2090, 723, 1336, 602, 4743, 1843, 1881, 568, 3983, 585, 2021, 269, 9861, 522, 326, 1194, 666, 1118, 2021, 798, 8338, 593, 2979, 4255, 267, 543, 1582, 5498, 10745, 1436, 267, 610, 22987, 540, 835, 779, 1378, 3337, 267, 568, 5532, 547, 1560, 17847, 267, 4189, 4713, 543, 4057, 7099, 563, 3719, 1346, 4681, 723, 782, 5059, 593, 519, 8226, 540, 1373, 4638, 1242, 610, 1843, 1881, 267, 717, 969, 9820, 5143, 14970, 16631, 269, 2701, 543, 1200, 9164, 9289, 827, 519, 3750, 540, 519, 1531, 27212, 281, 3657, 1004, 2731, 1843, 4328, 2021, 811, 982, 2367, 888, 2414, 1265, 856, 267, 519, 3173, 5059, 593, 1079, 2010, 540, 2790, 4393, 267, 2518, 543, 2199, 269, 6820, 4393, 568, 875, 519, 2634, 14439, 3615, 607, 513 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 568, 28833, 888, 763, 4971, 3284, 5995, 273, 551, 331, 910, 306, 2638, 3135, 10276, 12574, 29688, 1476, 1341, 5291, 323, 269, 1476, 6119, 543, 1397, 596, 952, 519, 16105, 568, 2953, 543, 519, 1592, 540, 5691, 3984, 630, 663, 930, 811, 1217, 725, 1916, 1692, 798, 594, 917, 952, 513, 3896, 568, 28833, 888, 2791, 991, 547, 5734, 3399, 593, 28833, 543, 602, 779, 621, 256, 1411, 786, 723, 28833, 4881, 269, 5153, 476, 276, 9890, 3619, 547, 707, 11422, 543, 1826, 5291, 2517, 14096, 269, 271, 269, 271, 269, 272, 610, 5291, 2517, 29985, 10676, 281, 3199, 547, 13182, 28833, 1357, 7746, 16475, 676, 2473, 4456, 13048, 676, 9683, 21686, 4580, 563, 1692, 1281, 513, 5691, 3984, 960, 888, 29919, 16475, 568, 513, 1505, 585, 16475, 2789, 6389, 4408, 630, 5976, 5094, 7829, 540, 1142, 2012, 264, 593, 513, 2582, 7746, 630, 528, 7535, 540, 13763, 1040, 901, 2636, 835, 7746, 547, 2671, 922, 2200, 267, 971, 607, 3965, 543, 16267, 9979, 267, 1510, 8506, 782, 2533, 3177, 547, 946, 519, 1482, 3984, 2012, 563, 1692, 798, 594, 12575, 519, 14747, 3758, 538, 8837, 476, 1015, 888, 20360, 3298, 476, 1015, 543, 8837, 476, 279, 454, 268, 4964, 519, 8837, 1883, 563, 268, 7392, 3502, 788, 611, 538, 519, 3406, 2361, 563, 268, 769, 519, 3406, 2164, 267, 1318, 26487, 3502, 788, 611, 543, 2824, 14840, 607, 23070, 563, 268, 3245, 3502, 788, 611, 267, 1930, 519, 1739, 3758, 281, 524, 281, 20360, 3298, 21902, 3953, 291, 31034, 21255, 739, 338, 563, 268, 5269, 519, 2556, 2242, 547, 519, 3758, 563, 268, 8564, 11711, 3436, 16440, 547, 4688, 707, 2242, 269, 0, 8489, 568, 519, 5291, 323, 1476, 3758, 4092, 888, 763, 28833, 26824, 18218, 12122, 3758, 568, 1315, 31756, 270, 10674, 323, 270, 20813, 270, 10674, 323, 269, 1476, 1547, 634, 5291, 323, 269, 1476, 3758, 568, 1134, 10687, 7757, 543, 6140, 1582, 7721, 17839, 2218, 563, 8489, 568, 519, 9949, 4087, 585, 519, 1292, 28833, 12122, 3758, 888, 3519, 14808, 4851, 28567, 543, 6034, 1161, 454, 2252, 596, 8704, 5291, 323, 689, 2707, 267, 519, 9949, 4087, 540, 519, 12122, 6119, 568, 1315, 23591, 15828, 5914, 270, 777, 5995, 273, 270, 20813, 1547, 634, 9949, 12122, 3758, 568, 2356, 1572, 5291, 323, 269, 1476, 4586, 8489, 568, 28833, 4762, 580, 8837, 888, 25721, 5995, 568, 27358, 676, 519, 6119, 538, 519, 1476, 1016, 29715, 800, 269, 1452, 616, 519, 1482, 6119, 1031, 547, 19022, 519, 1133, 1460, 4528, 267, 855, 972, 616, 513, 1906, 1114, 1463, 1161, 585, 28833, 593, 8837, 269, 6423, 519, 1463, 633, 4994, 585, 782, 519, 2139, 1463, 1161, 563, 8489, 568, 28833, 8848, 3758, 2578, 657, 888, 3080, 540, 519, 1292, 2081, 28833, 3252, 568, 998, 12122, 6119, 269, 1358, 616, 4092, 693, 1315, 31756, 270, 10674, 323, 269, 28833, 814, 513, 1292, 12122, 3758, 281, 1315, 31756, 270, 10674, 323, 270, 20813, 270, 10674, 323, 269, 1476, 4586, 1432, 568, 5291, 323, 1476, 3758, 538, 28833, 888, 763, 5291, 323, 269, 1476, 3758, 568, 519, 1292, 12122, 3758, 585, 519, 28833, 1357, 7746, 269, 2560, 898, 779, 3810, 5227, 547, 2196, 28833, 538, 1796, 29671, 1826, 585, 1732, 2773, 543, 3432, 269, 18218, 305, 2393, 968, 270, 31756, 270, 10674, 323, 892, 634, 4781, 18218, 305, 2393, 23403, 519, 15682, 538, 799, 519, 12122, 6119, 540, 519, 28833, 7746, 2729, 563, 8489, 568, 5291, 323, 1476, 538, 28833, 888, 4002, 1034, 1949, 952, 596, 8704, 28833, 609, 513, 10189, 9614, 267, 610, 621, 3357, 840, 13318, 6817, 267, 519, 28833, 12122, 3758, 568, 4092, 538, 835, 540, 891, 6753, 912, 268, 1315, 31756, 270, 777, 5995, 273, 270, 10674, 323, 269, 1476, 563, 268, 1315, 31756, 270, 777, 5995, 273, 270, 777, 5995, 273, 269, 1476, 563, 268, 1315, 31756, 270, 10674, 323, 270, 10674, 323, 269, 1476, 563, 268, 1315, 31756, 270, 10674, 323, 270, 20813, 270, 10674, 323, 269, 1476, 563, 1692, 798, 594, 1265, 28833, 8848, 16105, 888, 2791, 666, 946, 1312, 3284, 5995, 551, 331, 543, 5291, 323, 1907, 547, 1449, 707, 28833, 12122, 689, 519, 12363, 563, 3721, 338, 547, 1449, 28833, 12122, 1510, 1964, 691, 532, 3028, 912, 268, 32374, 707, 9053, 12363, 3498, 563, 268, 22478, 28833, 12122, 3758, 1210, 707, 9053, 1257, 9375, 269, 6693, 268, 4530, 12122, 3758, 16105, 1210, 28833, 9352, 563, 8489, 568, 5291, 323, 1476, 538, 524, 32292, 601, 7746, 888, 763, 5291, 323, 269, 1476, 3758, 11225, 12122, 5468, 585, 519, 26824, 7014, 543, 585, 519, 5106, 540, 519, 7746, 269, 898, 568, 1152, 3015, 676, 513, 1062, 23070, 8259, 596, 723, 513, 667, 539, 5344, 18218, 610, 966, 4916, 269, 1403, 596, 723, 667, 539, 5344, 18218, 610, 966, 4916, 267, 524, 32292, 601, 3888, 338, 519, 12122, 3758, 538, 1315, 23591, 15828, 5914, 270, 777, 5995, 270, 20813, 270, 10674, 323, 563, 8489, 568, 562, 6265, 343, 1476, 4092, 888, 3528, 9949, 267, 519, 12122, 3758, 568, 3957, 562, 6265, 343, 269, 1476, 543, 5116, 538, 519, 15682, 1315, 23591, 15828, 5914, 270, 978, 514, 343, 270, 20813, 2073, 1315, 31756, 270, 978, 514, 343, 2073, 610, 1315, 23591, 15828, 5914, 270, 31756, 270, 978, 514, 343, 4586, 1692, 798, 594, 1569, 28833, 8848, 3758, 888, 272, 19868, 538, 547, 707, 3896, 609, 519, 3597, 3593, 3842, 513, 12363, 543, 6330, 547, 519, 12122, 6119, 538, 519, 17835, 4092, 693, 1315, 31756, 270, 10674, 323, 270, 676, 17511, 524, 323, 1315, 31756, 270, 10674, 323, 28918, 7046, 519, 5291, 323, 269, 1476, 3758, 676, 17511, 19274, 5291, 323, 269, 1476, 269, 0, 2691, 15385, 936, 4386, 1063, 1079, 1875, 1606, 3563, 24885, 1749, 267, 2281, 786, 1118, 3160, 2338, 540, 21921, 5364, 543, 15366, 13708, 26347, 563, 1432, 1281, 15385, 936, 3132, 888, 15899, 532, 27492, 568, 519, 5385, 540, 4719, 1570, 1063, 4630, 27881, 15954, 269, 898, 2164, 538, 1007, 10659, 540, 6090, 593, 1142, 15694, 269, 2560, 898, 2164, 538, 13708, 26347, 602, 723, 2189, 10659, 540, 15954, 269, 769, 4638, 12093, 267, 1079, 13708, 26347, 26595, 547, 3132, 606, 15556, 563, 1692, 1082, 13708, 26347, 1281, 15385, 936, 3132, 888, 2252, 15385, 936, 4386, 1063, 519, 1079, 6090, 267, 606, 5385, 540, 27586, 568, 3812, 1063, 519, 4630, 27881, 15954, 269, 1284, 4061, 3489, 476, 2004, 260, 968, 8001, 531, 892, 13708, 26347, 543, 476, 2004, 260, 968, 516, 18474, 1441, 892, 13708, 26347, 267, 2417, 5258, 538, 2185, 2010, 540, 13708, 26347, 689, 519, 1448, 540, 2070, 540, 27446, 9668, 563, 9989, 15385, 936, 1711, 13708, 26347, 888, 15899, 532, 936, 568, 513, 1184, 602, 4523, 1063, 4630, 27881, 15954, 538, 1931, 547, 2333, 4719, 4763, 269, 4438, 15385, 936, 267, 851, 540, 835, 15694, 568, 22121, 609, 1776, 269, 2560, 31133, 26347, 2744, 519, 2702, 547, 581, 16220, 1114, 689, 741, 15231, 13708, 26347, 1310, 15385, 936, 4386, 563, 1692, 1281, 15385, 936, 1860, 13708, 26347, 888, 1607, 1184, 267, 849, 1634, 607, 15385, 936, 267, 5932, 13708, 26347, 602, 2270, 1007, 10659, 540, 6090, 267, 799, 2337, 11694, 519, 4719, 4763, 540, 1022, 15556, 602, 1267, 689, 519, 22638, 9769, 540, 1079, 13708, 26347, 1282, 4638, 12093, 563, 1692, 1281, 15385, 936, 7369, 519, 29294, 540, 13708, 26347, 888, 15899, 532, 936, 267, 610, 21921, 1588, 267, 568, 519, 5385, 540, 15694, 12415, 1063, 20060, 3563, 24885, 1749, 538, 32450, 269, 9061, 532, 936, 5932, 1007, 10659, 540, 6090, 538, 519, 13708, 26347, 602, 616, 711, 1336, 538, 2901, 2385, 267, 7700, 547, 4719, 4763, 563, 15899, 532, 936, 666, 2322, 1007, 27586, 1927, 538, 4999, 593, 519, 1482, 15694, 267, 4929, 873, 547, 979, 883, 519, 1482, 13708, 23176, 269, 1879, 6090, 616, 2484, 6306, 267, 15385, 936, 4523, 1419, 2614, 602, 782, 2010, 540, 13708, 26347, 616, 3812, 609, 476, 1839, 260, 4908, 563, 7617, 15954, 616, 3238, 538, 15385, 936, 888, 15899, 532, 936, 4386, 1063, 605, 874, 848, 594, 543, 21042, 848, 594, 543, 568, 519, 1184, 1141, 1079, 4630, 27881, 1875, 1606, 3563, 24885, 1749, 6292, 909, 609, 1142, 824, 543, 5385, 1114, 12415, 540, 4719, 1570, 547, 1106, 1079, 21921, 5364, 15694, 11078, 24885, 1749, 563, 9989, 15385, 936, 2049, 538, 5378, 2670, 610, 32450, 888, 15899, 532, 936, 4386, 538, 606, 7469, 848, 693, 1142, 15393, 540, 519, 1591, 1141, 519, 15954, 616, 14095, 1927, 269, 9061, 532, 936, 4386, 538, 21042, 848, 950, 782, 519, 15954, 616, 13988, 538, 519, 1647, 540, 519, 1591, 269, 4256, 2673, 16133, 2636, 15385, 936, 547, 2049, 269, 9061, 532, 936, 1281, 711, 2049, 538, 5378, 2670, 563, 1432, 32450, 7472, 8250, 2281, 888, 763, 1184, 2164, 538, 2185, 8250, 2281, 602, 616, 688, 30666, 267, 799, 1797, 789, 2270, 3368, 519, 1297, 540, 15954, 540, 519, 9733, 1355, 2385, 1591, 269, 2725, 22719, 814, 1312, 10486, 547, 543, 3604, 689, 5378, 2670, 267, 799, 568, 513, 1591, 6498, 1184, 538, 799, 513, 2385, 1591, 7472, 1079, 9838, 8250, 2281, 563, 1432, 4523, 1282, 15385, 936, 28866, 888, 15899, 532, 936, 4386, 1282, 605, 874, 848, 594, 540, 32450, 594, 269, 898, 3322, 519, 15175, 540, 6090, 1063, 4630, 860, 1132, 1875, 1606, 3563, 24885, 1749, 799, 2636, 519, 7848, 540, 14774, 543, 533, 11189, 4719, 1570, 609, 1007, 267, 21921, 5364, 15954, 269, 2560, 8422, 2621, 2189, 547, 32450, 594, 602, 798, 711, 2049, 538, 5378, 2670, 563, 1432, 4523, 538, 15385, 936, 538, 32450, 888, 15899, 532, 936, 568, 519, 5385, 540, 4719, 1570, 1063, 1875, 1606, 3563, 24885, 1749, 540, 4630, 27881, 15954, 1282, 32450, 267, 799, 2164, 538, 1007, 10246, 997, 10659, 538, 519, 8250, 2281, 269, 2560, 1452, 8424, 540, 15954, 267, 1142, 6508, 689, 835, 2385, 267, 616, 1572, 4630, 27881, 15954, 563, 9989, 15385, 936, 2141, 4755, 538, 32450, 888, 15899, 532, 936, 4386, 538, 519, 1101, 6498, 540, 32450, 269, 2311, 602, 3942, 1142, 15694, 814, 556, 6088, 883, 1079, 22204, 1572, 11078, 24885, 1749, 269, 2560, 9061, 532, 936, 2164, 538, 21921, 1588, 540, 6090, 1336, 593, 519, 1482, 15694, 267, 1572, 5532, 6090, 267, 602, 1131, 6382, 2141, 581, 10299, 1927, 563, 8489, 1281, 15385, 936, 2049, 538, 32450, 543, 875, 1281, 621, 2014, 8390, 538, 519, 13708, 26347, 888, 7628, 32450, 267, 4630, 27881, 15954, 630, 272, 689, 1142, 2385, 264, 6292, 2059, 741, 13080, 269, 634, 15954, 3444, 936, 693, 2798, 1572, 669, 5362, 2742, 269, 2311, 1142, 669, 5362, 2742, 267, 519, 15954, 2736, 543, 556, 21860, 267, 9467, 930, 540, 741, 6090, 269, 901, 21921, 1588, 2164, 538, 4719, 8390, 563, 1432, 4523, 950, 15385, 936, 1281, 711, 2049, 888, 2252, 15385, 936, 1705, 711, 2049, 1282, 32450, 267, 972, 1131, 581, 1447, 4719, 8390, 1369, 513, 2249, 269, 2560, 4746, 519, 2249, 1223, 5884, 856, 1813, 547, 2068, 543, 1022, 12046, 6591, 786, 5884, 609, 519, 1367, 563, 1432, 1655, 6257, 15385, 936, 888, 15899, 532, 936, 568, 519, 2220, 6260, 540, 4719, 1570, 602, 4386, 538, 519, 10351, 1899, 269, 4438, 519, 5250, 540, 4212, 543, 14203, 2281, 267, 849, 1634, 607, 32450, 267, 19610, 15954, 689, 1142, 2385, 5447, 865, 602, 2147, 5027, 9696, 689, 519, 19610, 15954, 3444, 936, 835, 1776, 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 ]

[ 271, 338, 269, 901, 18854, 1399, 2773, 6645, 519, 1650, 540, 1614, 1352, 17731, 1091, 945, 7237, 606, 21425, 1247, 512, 2056, 741, 1166, 4169, 593, 8285, 18832, 269, 17652, 1310, 267, 789, 3643, 4816, 4906, 538, 21861, 548, 1335, 267, 1152, 547, 3605, 646, 781, 1044, 21687, 256, 5213, 1405, 5855, 282, 972, 781, 513, 6126, 10678, 950, 789, 3950, 1524, 519, 555, 3971, 543, 9156, 519, 13411, 1126, 269, 10801, 519, 1404, 267, 596, 666, 1294, 875, 15931, 5188, 543, 14973, 3871, 6854, 9458, 7722, 543, 7038, 539, 780, 19013, 267, 936, 942, 267, 930, 13915, 2219, 27803, 4249, 1185, 1831, 1932, 4737, 11276, 543, 1158, 569, 269, 1635, 519, 1439, 540, 519, 5664, 12698, 267, 891, 4249, 7930, 20374, 267, 8719, 676, 1007, 2010, 540, 5559, 553, 602, 5059, 1447, 593, 4984, 269, 12846, 267, 585, 7366, 540, 1296, 267, 27803, 4249, 3177, 2189, 2081, 585, 2950, 547, 5531, 1927, 267, 1451, 827, 741, 5132, 267, 543, 2972, 9159, 2984, 2097, 9800, 1318, 1354, 741, 4064, 780, 12244, 5384, 281, 5994, 596, 2811, 851, 540, 513, 1895, 2870, 513, 2413, 4528, 540, 513, 27803, 1404, 269, 1548, 3197, 1131, 596, 3442, 286, 1215, 1131, 596, 2671, 519, 5048, 540, 2648, 267, 4126, 267, 610, 19807, 998, 713, 8242, 2504, 286, 3503, 513, 5618, 7291, 610, 17250, 707, 1378, 6429, 1210, 4207, 1893, 543, 5468, 602, 1869, 27711, 519, 9759, 540, 513, 2757, 27803, 1404, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 306, 548, 3578, 338, 25491, 20550, 1676, 31698, 476, 279, 2918, 278, 4139, 20000, 2107, 1633, 334, 267, 8419, 476, 29044, 866, 630, 2412, 278, 264, 476, 3607, 274, 268, 2735, 276, 630, 8517, 264, 476, 4375, 274, 268, 2735, 276, 570, 3326, 5131, 630, 2412, 278, 264, 476, 31134, 268, 14690, 274, 674, 1314, 11910, 721, 547, 1118, 707, 1763, 969, 725, 476, 278, 17963, 829, 10432, 476, 279, 281, 1789, 4456, 547, 476, 279, 281, 1789, 15014, 8058, 8648, 269, 19744, 12416, 267, 1519, 27803, 543, 9814, 4249, 267, 12090, 689, 4984, 267, 4481, 689, 5783, 543, 519, 6426, 269, 6168, 9612, 11778, 269, 13038, 1576, 575, 712, 5471, 7594, 269, 634, 12653, 1457, 25491, 20550, 1676, 21541, 630, 21077, 543, 13234, 676, 12054, 514, 1961, 13323, 24020, 264, 3091, 513, 23433, 667, 1456, 15232, 1141, 15915, 2972, 938, 3349, 2427, 12653, 1457, 25491, 8058, 543, 513, 715, 739, 531, 11551, 21541, 25676, 607, 938, 2201, 1532, 13635, 4258, 325, 22316, 513, 8949, 12866, 6092, 20550, 1676, 269, 9521, 609, 519, 824, 11442, 10070, 267, 5716, 798, 711, 917, 1018, 4137, 1035, 545, 21754, 597, 476, 6110, 16936, 269, 769, 476, 1708, 271, 267, 5616, 21476, 729, 1031, 676, 269, 32386, 3688, 949, 1689, 689, 3923, 547, 3923, 269, 590, 548, 3578, 338, 25491, 20550, 1676, 31698, 4867, 814, 476, 1724, 1114, 13655, 602, 14595, 2429, 519, 3018, 269, 1547, 1849, 12494, 20829, 585, 606, 10543, 540, 7317, 1187, 256, 4039, 1314, 20829, 21305, 18226, 6517, 269, 11910, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19010, 24717, 1315, 19744, 1315, 21001, 2193, 1773, 904, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 4197, 22749, 543, 4762, 26555, 910, 634, 8865, 540, 12925, 692, 5331, 596, 616, 2713, 538, 513, 2197, 1572, 12925, 267, 4092, 538, 519, 5664, 5101, 269, 901, 4182, 814, 922, 1378, 2189, 1686, 267, 2528, 267, 543, 1062, 540, 12044, 3294, 269, 1809, 1175, 899, 1022, 824, 1747, 593, 3047, 267, 621, 849, 8188, 2591, 543, 7526, 602, 666, 1860, 519, 2729, 540, 922, 1004, 1169, 1554, 269, 1924, 875, 1281, 519, 2229, 960, 538, 12925, 286, 1656, 1018, 2186, 540, 2152, 798, 789, 3068, 972, 286, 2913, 781, 4685, 883, 713, 4241, 1888, 2439, 5575, 1055, 267, 1577, 781, 2911, 827, 519, 1826, 540, 2229, 12925, 814, 269, 898, 781, 1634, 607, 513, 834, 6247, 6627, 25931, 14081, 2437, 799, 1522, 3280, 7294, 267, 865, 1450, 803, 547, 2736, 621, 1524, 585, 596, 269, 589, 834, 10517, 3016, 257, 1797, 602, 4961, 1528, 13222, 945, 1287, 1118, 3664, 593, 741, 15773, 269, 9861, 834, 1706, 8365, 776, 257, 10522, 2348, 513, 15424, 1560, 1107, 519, 12057, 1107, 1141, 891, 11221, 8387, 2097, 1927, 547, 1711, 4031, 269, 14936, 267, 1373, 834, 6247, 6627, 257, 19752, 602, 972, 568, 513, 1305, 540, 3652, 267, 610, 513, 11156, 267, 13057, 875, 519, 2197, 13333, 780, 3086, 267, 4952, 952, 707, 1153, 1185, 606, 9550, 547, 3442, 1007, 2875, 14643, 10492, 269, 2659, 15032, 1131, 5859, 543, 2671, 741, 2093, 267, 2147, 547, 2797, 6105, 12721, 1282, 3084, 12836, 269, 4495, 3025, 16018, 267, 1346, 609, 519, 1034, 1489, 786, 1831, 851, 540, 519, 2875, 14643, 267, 1454, 899, 875, 13222, 1205, 6074, 585, 12925, 781, 7027, 540, 24929, 269, 1358, 1865, 1585, 6927, 7133, 1053, 543, 6430, 593, 3435, 267, 1360, 1454, 899, 1483, 14761, 2324, 585, 519, 8171, 540, 782, 4961, 780, 3719, 1934, 781, 1945, 4277, 827, 12925, 781, 2229, 281, 3006, 267, 1114, 2516, 1369, 519, 3354, 4229, 1810, 1405, 2141, 6432, 547, 519, 19742, 3401, 269, 2290, 1383, 568, 519, 15019, 22994, 16478, 17086, 630, 15014, 293, 1070, 799, 729, 4646, 547, 4339, 1996, 18483, 269, 2755, 1082, 6751, 293, 1249, 687, 1246, 9753, 689, 20045, 24863, 611, 267, 1866, 723, 2178, 13218, 547, 15231, 2477, 971, 607, 9459, 269, 1879, 713, 4523, 267, 621, 4617, 839, 519, 2229, 781, 17945, 593, 4509, 4708, 543, 1931, 2066, 519, 2898, 2197, 780, 4131, 781, 1589, 1394, 547, 938, 1153, 9183, 269, 14597, 835, 8630, 16976, 547, 17997, 922, 1378, 3652, 3079, 540, 1739, 519, 3283, 8815, 2390, 676, 519, 3003, 2875, 14643, 269, 2334, 5932, 10539, 1851, 1053, 543, 7519, 338, 10103, 269, 6684, 267, 950, 2694, 540, 12925, 781, 3354, 17102, 957, 10446, 267, 621, 14944, 1149, 3972, 538, 519, 2949, 5718, 543, 2306, 10350, 811, 2352, 780, 19013, 267, 5208, 3788, 513, 1713, 4161, 5185, 676, 12925, 529, 3232, 269, 13518, 540, 713, 24187, 11710, 689, 519, 4527, 540, 513, 22681, 3919, 3957, 4959, 3041, 630, 1492, 9099, 3557, 540, 12925, 543, 16850, 1040, 1411, 949, 11291, 6217, 3377, 2984, 827, 873, 4929, 2800, 538, 1896, 2477, 1472, 519, 1158, 269, 4014, 12925, 781, 4108, 7307, 547, 2569, 4959, 3041, 781, 4222, 14320, 267, 1507, 13164, 1869, 4383, 547, 4163, 856, 5906, 6411, 899, 10514, 902, 543, 32043, 1952, 902, 780, 2414, 1174, 1946, 4959, 3041, 6818, 267, 4605, 2576, 11836, 513, 14228, 1317, 789, 1745, 16053, 267, 5134, 8972, 267, 610, 29144, 269, 6987, 8145, 626, 2516, 1419, 17908, 7925, 2043, 676, 5356, 873, 513, 2631, 540, 10362, 543, 3483, 269, 3683, 942, 267, 2705, 267, 9097, 4978, 1491, 3180, 267, 3056, 873, 547, 3479, 15265, 23339, 269, 19759, 569, 267, 713, 4783, 5170, 547, 10956, 3294, 267, 31328, 4655, 543, 7092, 585, 17608, 21127, 9575, 538, 519, 3444, 13933, 780, 15563, 267, 649, 991, 547, 2232, 1776, 2565, 3390, 7282, 16857, 6811, 1063, 12925, 781, 3844, 2229, 543, 519, 10859, 22052, 26127, 3148, 1572, 519, 918, 6324, 6017, 13636, 6554, 630, 298, 305, 294, 1040, 2991, 8066, 513, 8917, 585, 7115, 538, 3735, 476, 1001, 278, 267, 13253, 15583, 730, 1813, 547, 22195, 3823, 8513, 10665, 269, 1306, 1312, 5011, 6836, 547, 22919, 1852, 936, 29653, 3338, 267, 31482, 17774, 3166, 540, 1480, 2924, 19374, 8149, 676, 11439, 4229, 780, 1103, 938, 4928, 2796, 267, 15475, 1079, 15731, 8044, 936, 9562, 540, 513, 1880, 1858, 1031, 585, 2238, 269, 1403, 1919, 5749, 1405, 17251, 993, 545, 2406, 267, 12699, 7440, 1223, 1291, 547, 30849, 2623, 899, 11648, 610, 27195, 1866, 689, 1210, 3838, 5624, 269, 1677, 2061, 2417, 3441, 267, 4079, 1590, 26544, 16425, 543, 1265, 12581, 3435, 3858, 762, 547, 782, 6105, 3238, 780, 2026, 649, 2263, 1950, 3584, 899, 6608, 543, 7526, 267, 3314, 602, 1620, 3085, 1405, 4755, 16074, 269, 1635, 1565, 827, 3309, 6082, 899, 12925, 267, 649, 22962, 938, 5380, 267, 26003, 1125, 609, 8284, 3425, 5001, 267, 543, 5660, 3646, 2509, 2679, 9434, 4708, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 12036, 568, 513, 13338, 25931, 14081, 269, 634, 476, 1001, 279, 25931, 12836, 267, 1247, 20541, 267, 3622, 1558, 3486, 4441, 540, 1863, 543, 4023, 12836, 543, 3366, 547, 519, 12560, 5912, 540, 1379, 689, 11788, 10579, 12794, 3187, 620, 5025, 321, 14508, 547, 1520, 559, 19869, 620, 5336, 1695, 10972, 563, 290, 2753, 1014, 8128, 1705, 711, 2226, 2500, 1852, 936, 930, 2609, 540, 519, 3354, 4229, 267, 3226, 1978, 4559, 540, 519, 15019, 22994, 16478, 17086, 630, 15014, 293, 264, 602, 941, 13988, 609, 9459, 563, 309, 2723, 775, 4797, 2429, 519, 1032, 267, 7361, 23185, 676, 519, 3527, 540, 4959, 3041, 269, 634, 2229, 10294, 11802, 936, 4959, 3041, 538, 5412, 476, 1001, 278, 1310, 20427, 4227, 519, 1895, 779, 2702, 547, 3479, 28407, 543, 32012, 885, 267, 855, 2818, 540, 519, 1895, 4797, 547, 4163, 856, 14686, 6285, 543, 32043, 1952, 902, 269, 634, 2229, 779, 15260, 1068, 542, 540, 5313, 6392, 538, 31713, 2127, 536, 867, 1359, 519, 12925, 328, 918, 6324, 6017, 16323, 630, 31082, 305, 1070, 1310, 519, 918, 6324, 6017, 16323, 779, 5181, 476, 1001, 278, 7115, 22275, 31558, 267, 8507, 538, 5359, 540, 28407, 543, 32012, 885, 676, 519, 694, 2017, 328, 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, 7982, 950, 594, 729, 538, 2852, 267, 594, 1185, 513, 887, 2174, 622, 3957, 4460, 945, 729, 18930, 539, 609, 1010, 1920, 781, 5444, 30688, 269, 1261, 1131, 6108, 3108, 26311, 936, 2025, 6054, 267, 14829, 5638, 267, 543, 25110, 7373, 1845, 3843, 547, 10250, 1394, 1010, 22871, 269, 2290, 1554, 267, 1247, 2469, 998, 606, 2025, 4216, 646, 15110, 689, 1010, 20516, 267, 646, 16686, 2390, 513, 4484, 2854, 538, 476, 14321, 276, 602, 7000, 513, 26648, 5728, 827, 835, 540, 938, 11937, 780, 15812, 4362, 602, 938, 22660, 267, 5261, 267, 729, 2899, 513, 13991, 4759, 540, 519, 29842, 534, 5783, 267, 855, 2663, 2968, 513, 535, 969, 550, 8830, 11939, 840, 12329, 1282, 519, 476, 1704, 628, 2540, 269, 4340, 547, 519, 4484, 267, 5261, 5433, 771, 650, 4288, 539, 609, 519, 29842, 534, 5783, 1813, 547, 922, 15984, 547, 14969, 12738, 267, 15796, 267, 543, 12250, 1242, 1379, 3889, 269, 3220, 1508, 676, 1010, 24235, 602, 5132, 1590, 581, 1759, 9003, 593, 27403, 543, 1367, 5289, 2833, 267, 5261, 8678, 519, 3395, 16034, 540, 519, 8830, 30808, 780, 19365, 4166, 6591, 513, 10639, 607, 513, 10388, 610, 1807, 543, 993, 21724, 513, 1804, 1739, 267, 799, 9575, 519, 3007, 540, 519, 2199, 8128, 269, 674, 8960, 741, 3310, 1223, 1291, 547, 7839, 29926, 1996, 519, 29842, 534, 5783, 267, 789, 2040, 3000, 539, 5261, 1354, 873, 543, 18796, 602, 646, 973, 656, 1010, 4978, 610, 3068, 4049, 4539, 269, 1809, 3079, 540, 25380, 1524, 267, 5261, 23060, 1524, 593, 1010, 31710, 543, 4797, 10825, 1010, 5048, 2429, 519, 24781, 780, 3080, 3781, 267, 1310, 4758, 513, 28005, 517, 693, 513, 7404, 8498, 267, 5261, 20374, 1510, 513, 10250, 269, 3571, 13794, 22646, 1164, 543, 1970, 855, 7948, 1405, 1265, 1022, 1129, 540, 1864, 2394, 1896, 4374, 2663, 267, 950, 1010, 3076, 6804, 1560, 18233, 909 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 630, 275, 2053, 476, 1015, 1070, 476, 1911, 568, 1100, 262, 6390, 544, 5889, 6255, 6759, 6255, 20110, 18255, 6759, 262, 324, 630, 272, 2053, 476, 1015, 2053, 476, 1015, 1070, 543, 476, 1001, 568, 683, 343, 320, 544, 5889, 6255, 6759, 6255, 20110, 18255, 6759, 262, 324, 554, 6759, 6255, 5889, 18255, 6759, 262, 6390, 630, 273, 2053, 476, 1015, 2053, 476, 1015, 7132, 476, 272, 1916, 5278, 2362, 2338, 912, 1556, 544, 5889, 327, 1729, 327, 1729, 554, 6759, 6255, 5889, 18255, 5451, 262, 17845, 560, 572, 454, 2537, 562, 15530, 6759, 262, 324, 554, 6759, 6255, 5889, 327, 3534, 262, 515, 454, 1911, 1100, 262, 6390, 544, 5889, 6255, 6759, 6255, 20110, 18255, 6759, 262, 324, 454, 301, 13246, 538, 13450, 912, 32723, 7224, 262, 6390, 515, 269, 1703, 568, 835, 630, 534, 1493, 264, 1315, 1261, 568, 4805, 563, 32723, 333, 19902, 334, 262, 334, 269, 1703, 616, 1079, 540, 873, 630, 534, 1493, 1916, 32723, 333, 6759, 327, 821, 334, 262, 334, 269, 1703, 616, 2947, 540, 873, 630, 534, 1493, 1916, 32723, 333, 6759, 262, 6390, 262, 324, 269, 1703, 568, 835, 630, 514, 534, 1493, 3364, 1916, 32723, 333, 2946, 343, 17505, 17845, 560, 572, 269, 1703, 616, 1079, 540, 873, 630, 514, 534, 1493, 1916, 333, 2946, 18255, 2946, 2946, 341, 20110, 572, 1312, 540, 873, 454, 333, 2946, 18255, 2946, 18863, 572, 1312, 540, 721, 0, 8702, 547, 14068, 7970, 1362, 3817, 256, 8437, 593, 519, 6801, 547, 1265, 5022, 1753, 267, 1788, 543, 12353, 6780, 543, 849, 11147, 543, 3377, 540, 938, 1565, 256, 634, 14068, 7970, 723, 12306, 538, 1134, 547, 741, 1007, 1362, 543, 649, 723, 2907, 19927, 513, 2603, 827, 519, 834, 27288, 4639, 2580, 4712, 547, 2253, 1603, 930, 11356, 4930, 269, 634, 14068, 7970, 4951, 741, 3434, 2044, 1983, 1932, 267, 1818, 2250, 787, 689, 15072, 547, 3132, 930, 8949, 834, 322, 578, 24742, 257, 2250, 625, 2063, 3018, 256, 901, 3018, 649, 723, 19927, 811, 827, 519, 1114, 2516, 540, 1004, 2713, 593, 519, 1977, 23617, 538, 519, 13524, 2540, 543, 1558, 606, 9125, 6048, 945, 4951, 721, 875, 547, 2007, 585, 3615, 689, 519, 2250, 543, 875, 547, 4266, 873, 1932, 256, 1284, 723, 2854, 930, 3078, 14822, 20417, 9035, 1759, 593, 938, 1433, 713, 2165, 267, 834, 28012, 5600, 593, 634, 16217, 21961, 2580, 543, 649, 10150, 6947, 547, 21555, 540, 891, 1472, 519, 3786, 13933, 1282, 938, 10800, 24742, 1554, 256, 1284, 849, 6836, 938, 1688, 693, 887, 4771, 538, 12418, 267, 543, 24263, 873, 909, 543, 15385, 519, 524, 9127, 609, 782, 938, 28378, 256, 634, 14068, 7970, 17031, 1055, 741, 8187, 4639, 1888, 538, 2511, 609, 741, 1362, 10198, 267, 543, 2731, 3838, 782, 741, 1702, 609, 721, 256, 4270, 2944, 14068, 7970, 2336, 763, 14068, 7970, 723, 13175, 1565, 827, 519, 7122, 649, 2661, 538, 538, 938, 834, 4504, 334, 6611, 257, 1888, 267, 1818, 3859, 1062, 4254, 3796, 543, 3206, 827, 2230, 873, 539, 7493, 1148, 269, 13772, 713, 2230, 585, 811, 3078, 1565, 3377, 689, 519, 14068, 7970, 256 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 326, 6889, 326, 9445, 1839, 2580, 535, 326, 284, 834, 20391, 19990, 14744, 1038, 1582, 4877, 6055, 4067, 269, 2897, 3287, 284, 271, 267, 586, 284, 7742, 10142, 1038, 1582, 269, 653, 29029, 815, 22443, 4311, 16000, 267, 1257, 6889, 2580, 13944, 284, 3488, 25106, 476, 2767, 12050, 30670, 536, 326, 6889, 326, 9445, 1839, 2580, 535, 326, 284, 834, 20391, 19990, 14744, 1038, 1582, 269, 653, 29029, 269, 2897, 3287, 284, 271, 267, 586, 284, 23310, 10142, 1038, 1948, 20135, 22443, 1477, 1038, 1582, 6745, 4973, 9078, 815, 22443, 4311, 16192, 267, 1257, 6889, 2580, 13944, 284, 3488, 25106, 476, 2412, 12050, 30670, 536, 326, 6889, 326, 1245, 523, 16967, 274, 2580, 535, 326, 6889, 326, 9445, 1839, 14744, 1038, 1582, 6745, 4973, 9078, 269, 2897, 3287, 284, 271, 267, 586, 284, 7785, 10142, 825, 1219, 909, 4311, 8029, 1038, 3597, 284, 307, 963, 767, 4311, 6230, 2120, 3418, 1038, 3597, 269, 613, 5852, 2891, 15793, 277, 343, 278, 6924, 266, 271, 266, 271, 14744, 1038, 9337, 284, 291, 520, 15390, 20172, 10142, 825, 1219, 1039, 273, 27219, 4311, 8029, 1038, 3597, 284, 307, 963, 767, 4311, 6230, 2120, 3418, 1038, 3597, 269, 613, 5852, 2891, 15793, 277, 343, 278, 6924, 266, 271, 266, 271, 14744, 1038, 1039, 284, 11754, 15461, 32707, 520, 15390, 20172, 3418, 825, 1219, 14827, 4311, 8029, 1038, 3597, 6155, 652, 5797, 14052, 5897, 5897, 5897, 24653, 10174, 815, 570, 330, 14052, 321, 284, 13335, 20172, 10142, 10174, 269, 613, 5852, 2891, 15793, 277, 343, 278, 6924, 266, 271, 266, 271, 14744, 10174, 6230, 664, 31467, 14052, 0, 258, 9717, 606, 703, 562, 267, 2132, 519, 6207, 3017, 1063, 562, 543, 476, 2641, 267, 4849, 454, 258, 2132, 5595, 519, 6207, 3017, 952, 562, 568, 936, 476, 2641, 780, 258, 12726, 912, 258, 886, 2641, 263, 866, 264, 9890, 476, 273, 454, 258, 886, 2641, 263, 1015, 264, 9890, 476, 1556, 454, 258, 886, 2641, 263, 2641, 264, 9890, 476, 271, 692, 3698, 886, 2641, 3799, 2187, 825, 535, 815, 476, 273, 952, 562, 3436, 476, 2641, 3116, 476, 272, 454, 825, 2132, 2612, 6600, 2608, 630, 2641, 910, 562, 4917, 0, 18411, 32046, 593, 3967, 476, 3066, 267, 476, 1001, 272, 692, 287, 10461, 281, 918, 337, 345, 903, 345, 1729, 325, 20579, 852, 24989, 630, 330, 337, 345, 903, 345, 1729, 325, 6745, 541, 852, 24989, 287, 2096, 841, 2593, 994, 18257, 692, 5814, 2599, 7531, 3698, 4604, 15461, 23919, 29033, 2187, 825, 15981, 30474, 16493, 519, 3014, 4604, 780, 825, 1488, 7714, 912, 1038, 4604, 281, 589, 476, 274, 343, 274, 11885, 5044, 454, 672, 15981, 692, 825, 1219, 1871, 15461, 318, 10420, 263, 7407, 2187, 1038, 15981, 20593, 1206, 21635, 8204, 5716, 593, 513, 3014, 4604, 547, 1347, 454, 2018, 6041, 780, 1038, 1488, 7714, 912, 2018, 1871, 281, 589, 3586, 8204, 513, 6345, 780, 1038, 16849, 912, 2018, 23657, 1412, 311, 3299, 1412, 302, 262, 610, 2230, 1915, 563, 1038, 23288, 1038, 952, 1871, 2652, 2599, 10422, 272, 912, 2018, 2132, 1412, 311, 7055, 1038, 952, 1871, 2652, 2599, 10422, 273, 912, 2018, 2132, 1412, 302, 28847, 1038, 2132, 1412, 1412, 692, 825, 4610, 815, 1496, 7407, 15461, 318, 10420, 263, 7407, 264, 585, 1871, 538, 4604, 269, 29788, 6540, 825, 4604, 23919, 815, 26444, 18257, 825, 476, 271, 567, 476, 272, 567, 476, 273, 454, 476, 1341, 19203, 266, 19203, 266, 19203, 32504, 271, 1923, 2715, 271, 348, 1923, 2715, 272, 348, 1923, 2715, 273, 348, 11406, 476, 1341, 19203, 266, 19203, 266, 19203, 32504, 272, 1923, 2715, 274, 348, 1923, 2715, 275, 348, 1923, 2715, 276, 348, 11406, 476, 1341, 19203, 266, 19203, 266, 19203, 32504, 273, 1923, 2715, 277, 348, 1923, 2715, 278, 348, 1923, 2715, 279, 348, 11406, 476, 1341, 19203, 266, 19203, 266, 19203, 266, 5257, 8339, 8971, 28949, 26753, 2020, 825, 2132, 4604, 23919, 454, 0, 258, 23095, 513, 5691, 1604, 692, 258, 5675, 513, 1599, 547, 1449, 16865, 9074, 454, 258, 1684, 711, 1104, 3252, 602, 2154, 3593, 17942, 2183, 5872, 7531, 258, 901, 1449, 3758, 1058, 581, 513, 1547, 6853, 3758, 454, 258, 13201, 547, 581, 7531, 258, 26840, 476, 272, 281, 13038, 7682, 6898, 538, 835, 1449, 1599, 4534, 2547, 14909, 1505, 454, 12163, 3698, 1449, 318, 13765, 318, 8461, 299, 263, 2567, 1948, 2012, 519, 1449, 1599, 607, 1449, 318, 283, 4067, 540, 1599, 707, 616, 1104, 532, 11417, 825, 689, 9498, 1104, 2638, 318, 8461, 299, 1948, 332, 755, 621, 581, 713, 16105, 286, 610, 666, 594, 798, 1104, 12223, 13090, 689, 13322, 13090, 454, 825, 1267, 815, 2638, 318, 8461, 299, 263, 3583, 264, 567, 1948, 9373, 513, 1871, 883, 519, 1599, 596, 16865, 543, 4558, 621, 607, 513, 1267, 3097, 825, 4397, 815, 834, 31863, 257, 1948, 1590, 917, 707, 3312, 1599, 781, 4397, 3977, 563, 825, 7682, 1267, 2652, 4397, 1948, 2667, 1068, 11974, 585, 1630, 18978, 2783, 602, 596, 4283, 692, 825, 1267, 815, 2638, 318, 8461, 299, 263, 272, 994, 825, 4397, 815, 834, 20181, 4840, 825, 7682, 1267, 2652, 4397, 692, 825, 1267, 815, 2638, 318, 8461, 299, 263, 3393, 994, 825, 4397, 815, 834, 289, 4650, 1467, 8899, 4840, 825, 7682, 1267, 476, 2652, 4397, 476, 1948, 4781, 476, 272, 585, 3818, 22533, 1770, 4152, 540, 513, 1599, 596, 1104, 602, 666, 723, 1585, 17016, 692, 825, 1948, 8074, 602, 519, 1657, 3096, 7682, 476, 274, 1114, 2053, 454, 825, 1948, 3502, 2141, 513, 1434, 2856, 547, 3009, 713, 1259, 1317, 952, 606, 5470, 4386, 538, 25318, 7682, 3948, 454, 825, 1948, 634, 3009, 2630, 602, 3884, 1405, 10443, 25341, 3478, 18106, 3795, 454, 20701, 258, 26840, 476, 273, 281, 476, 274, 5094, 4255, 3842, 476, 274, 5094, 1449, 3252, 454, 258, 3550, 4408, 616, 1114, 610, 3116, 9226, 1131, 2196, 1152, 519, 2063, 1449, 609, 519, 1482, 2012, 692, 12163, 3698, 1449, 318, 13765, 318, 8461, 299, 318, 272, 263, 2567, 3097, 825, 689, 9498, 1104, 2638, 318, 8461, 299, 3097, 825, 1267, 815, 2638, 318, 8461, 299, 263, 3583, 264, 3097, 825, 4397, 815, 834, 31863, 257, 3097, 825, 7682, 1267, 2652, 4397, 476, 7531, 3698, 1449, 318, 13765, 318, 8461, 299, 318, 273, 10031, 825, 689, 9498, 1104, 2638, 318, 8461, 299, 454, 825, 1267, 815, 2638, 318, 8461, 299, 263, 272, 994, 825, 4397, 815, 834, 20181, 4840, 825, 7682, 1267, 2652, 4397, 7531, 3698, 1449, 318, 13765, 318, 8461, 299, 318, 274, 263, 2567, 3097, 825, 689, 9498, 1104, 2638, 318, 8461, 299, 3097, 825, 1267, 815, 2638, 318, 8461, 299, 263, 3393, 994, 825, 4397, 815, 834, 289, 4650, 1467, 8899, 4840, 825, 7682, 1267, 476, 2652, 4397, 22562, 8931, 825, 1948, 901, 1505, 568, 15502, 855, 621, 3340, 25718, 543, 2250, 532, 799, 23313, 711, 3608, 543, 666, 1291, 547, 6959, 454, 12163, 258, 26840, 476, 274, 454, 5814, 7510, 11687, 692, 258, 1039, 7718, 1807, 1948, 5569, 267, 1287, 1592, 538, 4164, 564, 10078, 692, 258, 634, 1101, 4661, 540, 519, 7718, 1807, 568, 513, 5569, 540, 6724, 596, 2503, 519, 1599, 538, 519, 7718, 1807, 547, 1491, 538, 454, 258, 634, 2034, 513, 745, 618, 540, 519, 7718, 1807, 568, 513, 1592, 540, 8913, 1255, 5627, 519, 4632, 596, 530, 13860, 1449, 454, 287, 6853, 11687, 269, 5658, 269, 12407, 564, 10078, 2891, 8461, 299, 15305, 318, 14310, 267, 4397, 2580, 1496, 454, 825, 630, 3583, 267, 834, 31863, 257, 13211, 825, 630, 272, 267, 834, 20181, 257, 13211, 825, 630, 3393, 267, 834, 289, 4650, 1467, 8899, 257, 13211, 825, 476, 7481, 3698, 1449, 318, 13765, 318, 8461, 299, 263, 8461, 299, 15305, 318, 14310, 267, 4397, 2187, 825, 689, 9498, 1104, 2638, 318, 8461, 299, 454, 825, 2626, 815, 2638, 318, 8461, 299, 263, 8461, 299, 15305, 318, 14310, 994, 825, 7682, 2626, 2652, 4397, 692, 0, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 8894, 18851, 20877, 1239, 2497, 6388, 27969, 692, 5228, 3113, 318, 14607, 3596, 916, 21606, 14067, 4450, 3052, 1429, 269, 591, 23753, 1104, 7638, 23753, 454, 5228, 3113, 318, 14607, 3596, 916, 21606, 14067, 4450, 3052, 1429, 269, 8354, 1104, 22750, 692, 5228, 3113, 318, 14607, 3596, 916, 20216, 4003, 3052, 1429, 318, 1410, 4003, 1104, 8641, 3519, 13935, 19723, 23753, 2750, 18277, 454, 5228, 3113, 318, 14607, 3596, 916, 20216, 4003, 3052, 1429, 318, 1410, 4003, 1104, 3502, 3519, 13935, 292, 2211, 2750, 4003, 454, 5228, 3113, 318, 14607, 3596, 916, 20216, 4003, 3052, 1429, 318, 1410, 4003, 1104, 4578, 1805, 4450, 3674, 10387, 27679, 2750, 4003, 454, 5228, 3113, 318, 14607, 3596, 916, 20216, 4003, 6230, 612, 1137, 1104, 1239, 14067, 4450, 318, 529, 318, 24105, 8548, 20687, 454, 5228, 3113, 318, 14607, 3596, 916, 20216, 4003, 6230, 612, 1137, 1104, 711, 318, 935, 13935, 318, 591, 23753, 8548, 20687, 454, 5228, 3113, 318, 14607, 3596, 916, 20216, 4003, 6230, 612, 1137, 1104, 3113, 318, 935, 13935, 318, 591, 23753, 8548, 20687, 7531, 5035, 8641, 24998, 2187, 825, 5727, 12218, 28352, 3113, 1239, 2497, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 5727, 17746, 1192, 513, 1007, 3113, 1239, 2497, 27969, 454, 1038, 1582, 11519, 3200, 1182, 815, 31460, 1038, 1582, 11519, 539, 2471, 815, 29129, 825, 1219, 6449, 935, 13935, 9191, 1345, 267, 14584, 16182, 2187, 1038, 5727, 27987, 3020, 952, 14584, 16182, 3568, 538, 3113, 780, 1038, 1488, 7714, 912, 2018, 14584, 16182, 281, 2189, 7329, 540, 519, 14584, 538, 519, 3113, 692, 1038, 16849, 912, 2018, 1267, 630, 321, 944, 2567, 3020, 952, 14584, 16182, 3568, 538, 3113, 454, 1038, 8173, 1038, 2132, 14584, 16182, 538, 1582, 11519, 3200, 1182, 692, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 5727, 27987, 2450, 540, 3113, 780, 1038, 16849, 912, 2018, 2450, 630, 842, 2567, 2450, 540, 3113, 454, 1038, 8173, 1038, 2132, 1582, 25915, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2450, 4311, 2187, 1038, 5727, 27987, 1297, 540, 14622, 540, 3113, 780, 1038, 16849, 912, 2018, 2450, 630, 842, 2567, 2450, 540, 1178, 17989, 454, 1038, 8173, 1038, 2132, 7003, 4311, 11519, 3200, 1182, 2020, 825, 7711, 27393, 1399, 454, 825, 1219, 568, 318, 24105, 4311, 2187, 1038, 5727, 27987, 3020, 952, 3113, 568, 8900, 630, 15893, 540, 14622, 2652, 476, 271, 6393, 1038, 16849, 912, 2018, 1267, 630, 321, 944, 2567, 3020, 952, 3113, 568, 8900, 3116, 7301, 454, 1038, 8173, 1038, 2132, 1582, 25915, 2652, 476, 271, 692, 825, 1219, 1711, 318, 591, 23753, 318, 2421, 16182, 4311, 267, 14584, 16182, 2187, 1038, 5727, 8620, 14584, 538, 3113, 780, 1038, 1488, 7714, 912, 2018, 14584, 16182, 281, 2189, 14584, 7329, 692, 1038, 14780, 2478, 912, 2018, 8641, 3519, 13935, 19723, 23753, 2750, 18277, 281, 952, 3113, 3568, 14584, 454, 1038, 8173, 1038, 952, 14584, 16182, 538, 1582, 11519, 3200, 1182, 912, 2018, 6318, 8641, 3519, 13935, 19723, 23753, 2750, 18277, 14116, 1429, 318, 935, 13935, 318, 591, 23753, 8548, 20687, 263, 591, 23753, 16182, 4917, 1038, 1582, 11519, 3200, 1182, 314, 591, 23753, 16182, 316, 815, 7638, 23753, 263, 591, 23753, 16182, 2020, 825, 1219, 1205, 318, 591, 23753, 318, 2421, 16182, 4311, 267, 14584, 16182, 2187, 1038, 5727, 27987, 630, 2254, 1349, 264, 14584, 689, 3113, 780, 1038, 1488, 7714, 912, 2018, 14584, 16182, 281, 14584, 585, 2132, 692, 1038, 16849, 912, 2018, 14584, 281, 14584, 676, 7329, 692, 1038, 14780, 2478, 912, 2018, 4578, 1805, 4450, 3674, 10387, 27679, 2750, 4003, 281, 952, 3113, 568, 8900, 454, 2018, 3502, 3519, 13935, 292, 2211, 2750, 4003, 281, 952, 3113, 711, 3568, 14584, 454, 1038, 8173, 1038, 952, 1582, 18994, 318, 24105, 912, 2018, 6318, 4578, 1805, 4450, 3674, 10387, 27679, 2750, 4003, 16597, 14067, 4450, 318, 529, 318, 24105, 8548, 20687, 15405, 1038, 952, 14584, 16182, 711, 538, 1582, 11519, 3200, 1182, 912, 2018, 6318, 3502, 3519, 13935, 292, 2211, 2750, 4003, 263, 2254, 318, 935, 13935, 318, 591, 23753, 8548, 20687, 263, 591, 23753, 16182, 4917, 1038, 2132, 1582, 11519, 3200, 1182, 314, 591, 23753, 16182, 6540, 825, 1219, 1039, 318, 8354, 4311, 267, 689, 318, 591, 23753, 267, 547, 318, 591, 23753, 267, 2597, 284, 271, 2187, 1038, 5727, 11754, 606, 6316, 1063, 1079, 14622, 780, 1038, 1488, 7714, 912, 2018, 689, 318, 591, 23753, 281, 1376, 14584, 7329, 454, 2018, 547, 318, 591, 23753, 281, 1439, 14584, 7329, 454, 2018, 2597, 630, 842, 2567, 2597, 540, 6316, 692, 1038 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 275, 267, 6321, 278, 5195, 540, 18162, 2429, 519, 772, 2529, 269, 689, 519, 12551, 543, 13812, 6796, 454, 268, 476, 273, 267, 5392, 272, 18162, 538, 4639, 9098, 689, 519, 4639, 9098, 22127, 6176, 3590, 630, 31043, 264, 14502, 4741, 454, 268, 476, 278, 1626, 5195, 540, 18162, 538, 14522, 689, 519, 14522, 4972, 540, 7849, 8249, 454, 268, 476, 277, 2641, 5195, 540, 18162, 585, 519, 3557, 540, 12548, 689, 519, 12548, 4972, 540, 7849, 8249, 454, 268, 476, 5325, 280, 5195, 540, 18162, 267, 6140, 538, 519, 27743, 13738, 2829, 267, 689, 519, 13163, 540, 8092, 5004, 454, 2026, 519, 4015, 267, 11249, 543, 3892, 540, 713, 1239, 5170, 267, 811, 9316, 609, 8549, 267, 1533, 543, 2199, 8041, 568, 4397, 547, 2333, 1107, 543, 7494, 1039, 547, 513, 3084, 6538, 563, 13233, 2480, 21329, 3004, 2812, 454, 2467, 616, 476, 1556, 2101, 13009, 1949, 602, 723, 1044, 11280, 607, 513, 2817, 2480, 21329, 20417, 269, 1717, 267, 972, 568, 1100, 3084, 7400, 11558, 540, 891, 18162, 610, 741, 4786, 1239, 269, 634, 2475, 14899, 15726, 303, 814, 4646, 12352, 609, 1082, 3309, 22257, 543, 1875, 3766, 21194, 8041, 547, 3489, 782, 4143, 1239, 543, 9446, 1346, 13042, 13009, 12415, 593, 1533, 7851, 607, 789, 616, 15428, 563, 13233, 2480, 21329, 3004, 2812, 602, 723, 1044, 3773, 547, 2475, 14899, 4786, 2472, 912, 268, 519, 29630, 1014, 2817, 2480, 21329, 20417, 2676, 268, 519, 10979, 6520, 2817, 2480, 21329, 20417, 2676, 268, 519, 7414, 19566, 2817, 2480, 21329, 20417, 2676, 268, 519, 3345, 13474, 2817, 2480, 21329, 20417, 2676, 268, 519, 7414, 595, 6135, 2817, 2480, 21329, 20417, 2676, 268, 519, 14151, 2817, 2480, 21329, 20417, 2676, 268, 519, 14844, 31712, 29895, 2817, 2480, 21329, 20417, 2676, 268, 519, 1715, 4789, 2817, 2480, 21329, 20417, 2676, 268, 519, 25550, 19147, 2817, 2480, 21329, 20417, 2676, 268, 543, 519, 8419, 2817, 2480, 21329, 20417, 563, 763, 2698, 540, 891, 13009, 12415, 5116, 593, 2475, 5440, 334, 9076, 9201, 568, 811, 982, 476, 1724, 267, 1911, 5195, 269, 634, 6967, 715, 4306, 32261, 24299, 568, 519, 8000, 558, 659, 11595, 2817, 2480, 21329, 20417, 269, 634, 2475, 5440, 334, 11837, 1982, 568, 2324, 2182, 547, 3489, 602, 1239, 607, 1134, 607, 9337, 824, 18162, 607, 1007, 1344, 568, 3177, 563, 15239, 8566, 21194, 20417, 21664, 454, 763, 2475, 14899, 814, 1044, 2324, 609, 519, 4139, 13738, 645, 833, 5948, 630, 8379, 10621, 264, 543, 1234, 920, 1049, 16811, 267, 5549, 269, 630, 3918, 296, 264, 585, 5111, 1614, 1296, 269, 634, 13859, 13009, 1239, 568, 25422, 5812, 543, 568, 12649, 676, 5885, 8041, 543, 13761, 609, 2199, 8128, 269, 3414, 713, 11450, 267, 519, 2475, 14899, 814, 6394, 811, 982, 476, 1428, 267, 1822, 5195, 540, 18162, 267, 543, 1810, 1406, 4159, 18162, 602, 16937, 824, 18162, 12352, 269, 1280, 1383, 267, 519, 1007, 7851, 1810, 1406, 1397, 22558, 10621, 270, 11555, 296, 18162, 936, 2817, 5244, 6796, 267, 772, 2529, 269, 11206, 6796, 610, 12551, 543, 13812, 6796, 7851, 547, 2057, 1022, 10539, 563, 3725, 920, 1049, 18745, 540, 9314, 912, 5804, 519, 1585, 12352, 267, 519, 2475, 14899, 814, 5063, 1044, 2111, 547, 2253, 547, 1039, 824, 16351, 2798, 540, 1719, 269, 18786, 609, 513, 12681, 1788, 609, 519, 2817, 5244, 6796, 267, 519, 15428, 7851, 585, 3345, 10491, 3769, 2101, 16351, 3889, 543, 1858, 538, 519, 4279, 3911, 758, 344, 15142, 2817, 5244, 269, 17497, 267, 891, 16351, 2798, 540, 1719, 616, 5631, 3786, 3033, 338, 267, 13009, 21650, 267, 21233, 7740, 267, 543, 24181, 269, 634, 3355, 3575, 568, 16559, 2429, 519, 13780, 543, 1007, 1344, 568, 1373, 16041, 547, 7851, 538, 14469, 593, 513, 3232, 4493, 269, 2311, 713, 942, 267, 972, 616, 811, 982, 476, 280, 267, 1822, 1585, 16351, 2798, 540, 1719, 538, 519, 11837, 6538, 563, 5415, 20537, 667, 7398, 3004, 2812, 454, 763, 2817, 2983, 2214, 7652, 5358, 814, 11368, 1007, 4066, 543, 3157, 602, 786, 1450, 519, 8242, 7851, 547, 4183, 711, 1175, 31619, 18162, 855, 849, 2101, 6444, 1216, 543, 6777, 11507, 269, 901, 1007, 1239, 786, 581, 13859, 676, 519, 715, 4916, 543, 2475, 293, 454, 1692, 547, 7348, 543, 8281, 519, 20417, 543, 1234, 920, 1049, 6176, 912, 2467, 616, 1079, 3119, 2533, 547, 2070, 267, 4647, 543, 538, 930, 2665, 267, 13861, 519, 13009, 543, 16351, 2798, 540, 1719, 1344, 267, 607, 1134, 607, 824, 3490, 4786, 6106, 912, 4785, 5440, 334, 7851, 281, 1452, 7851, 616, 24018, 593, 519, 5432, 476, 278, 269, 276, 18826, 9076, 4120, 7851, 540, 519, 1974, 476, 3707, 278, 268, 1960, 273, 267, 855, 616, 2527, 1790, 22004, 689, 3084, 13664, 1344, 12240, 593, 513, 18110, 4783, 269, 634, 7851, 616, 3177, 607, 513, 3059, 4647, 689, 519, 2475, 14899, 15188, 543, 4843, 538, 2757, 4786, 1106, 282, 713, 2640, 1875, 1606, 2133, 626, 4786, 3755, 267, 607, 1134, 607, 3156, 602, 991, 2757, 7851, 269, 634, 2475, 5440, 334, 4786, 6454, 1982, 814, 9411, 922, 3791, 267, 1614, 4458, 4783, 540, 2847, 2358, 543, 21130, 3059, 2475, 5440, 334, 9076, 9201, 563, 763, 2817, 10934, 7348, 518, 543, 8281, 25957, 281, 2636, 14839, 543, 4647, 540, 938, 1034, 1699, 1283, 4919, 3490, 4786, 1239, 543, 2472, 269, 20305, 666, 1569, 1239, 689, 782, 5216, 3119, 1239, 4798, 540, 634, 2817, 10934, 267, 543, 2404, 2472, 267, 971, 607, 2475, 5440, 334, 7851, 267, 8466, 5440, 4919, 21476, 267, 543, 10934, 1473, 1182, 269, 901, 21951, 568, 7361, 5921, 585, 4810, 22944, 3755, 563, 2252, 596, 1131, 899, 547, 5635, 8978, 7851, 547, 1699, 1283, 4919, 7851, 267, 596, 666, 4647, 18767, 540, 9371, 2475, 14899, 1283, 334, 7851, 267, 930, 6580, 1394, 547, 519, 3735, 476, 5197, 271, 338, 269, 1452, 666, 581, 22434, 689, 519, 2475, 14899, 8466, 5440, 4919, 10934, 14635, 610, 1283, 334, 8698, 563, 5472, 2475, 14899, 11837, 2533, 543, 2472, 616, 2139, 607, 513, 1863, 4647, 563, 7476, 3776, 5240, 454, 4322, 3688, 616, 538, 519, 681, 7704, 3049, 3898, 630, 3725, 958, 11822, 5204, 526, 1709, 264, 1759, 593, 6688, 971, 607, 3584, 267, 6753, 267, 543, 811, 269, 1411, 666, 3888, 543, 681, 7704, 5467, 11422, 10137, 267, 3301, 267, 610, 946, 513, 3791, 18407, 3028, 547, 4309, 7525, 3377, 10311, 4470, 593, 519, 3049, 602, 596, 723, 3773, 269, 1403, 596, 4945, 519, 3049, 6402, 2630, 267, 789, 949, 1413, 9490, 1317, 789, 616, 3274, 24701, 3009, 269, 1323, 681, 7704, 5467, 666, 3362, 1224, 713, 3009, 543, 7903, 856, 513, 31015, 547, 596, 950, 1945, 1007, 568, 11540, 547, 938, 3135, 269, 0, 306, 12584, 920, 839, 2014, 811, 2960, 11871, 630, 663, 824, 11871, 264, 1317, 540, 741, 6757, 5820, 799, 616, 1634, 547, 2014, 2860, 267, 855, 849, 1813, 547, 670, 8582, 789, 960, 910, 10877, 920, 839, 3625, 11158, 5174, 1769, 547, 2061, 519, 2960, 25017, 543, 8781, 267, 543, 11151, 2504, 540, 6171, 667, 799, 14014, 1996, 2860, 630, 256, 1070, 855, 713, 3947, 596, 513, 7301, 2631, 540, 3354, 547, 3251, 3544, 538, 519, 3141, 3476, 547, 581, 6534, 547, 811, 11158, 5025, 1769, 267, 799, 568, 519, 835, 602, 3123, 2960, 3441, 543, 2960, 11871, 2483, 296, 13948, 14059, 24429, 9755, 971, 607, 519, 834, 4692, 1356, 7027, 257, 827, 519, 5820, 789, 946, 538, 741, 10877, 920, 839, 267, 543, 519, 1082, 6757, 6464, 267, 9449, 27200, 6464, 630, 320, 977, 532, 5256, 11721, 24580, 10399, 610, 11178, 1599, 1070, 543, 1634, 2860, 27351, 6748, 6464, 789, 946, 269, 1358, 17792, 972, 729, 1022, 1966, 267, 5103, 1082, 3370, 2090, 593, 519, 6464, 789, 946, 4929, 891, 1072, 2360, 563, 3383, 1169, 11354, 543, 14400, 594, 1289, 873, 856, 593, 713, 267, 865, 602, 1004, 616, 3222, 543, 1810, 1405, 946, 741, 5906, 10877, 920, 839, 269, 1703, 616, 1454, 1732, 543, 10930, 3681, 2139, 563, 298, 12609, 1522, 723, 9575, 909, 609, 519, 834, 4692, 1356, 7027, 257, 538, 2904, 476, 1708, 273, 267, 950, 741, 10877, 920, 839, 1185, 11506, 2157, 540, 513, 2860, 27351, 6748, 3114, 630, 13051, 345, 2940, 264, 538, 873, 267, 543, 789, 941, 7142, 547, 1118, 713, 1344, 1857, 543, 11291, 930, 540, 741, 2472, 630, 307, 16598, 267, 476, 1708, 273, 1040, 1809, 789, 723, 1185, 891, 5906, 6464, 538, 741, 10877, 920, 839, 585, 1082, 1296, 543, 789, 1705, 4986, 269, 1280, 1383, 267, 741, 834, 22336, 1485, 257, 10877, 920, 839, 1185, 1896, 1634, 2860, 27351, 6748, 6464, 267, 6730, 1896, 9449, 16162, 4533, 532, 6464, 267, 543, 824, 6757, 6464, 267, 543, 930, 6464, 17049, 538, 824, 2477, 267, 538, 21450, 1587, 563, 22818, 607, 513, 1267, 540, 713, 4466, 267, 543, 5310, 1250, 21855, 630, 296, 9364, 899, 547, 1589, 865, 14386, 519, 9435, 7027, 4957, 519, 5820, 538, 930, 540, 741, 2472, 5063, 538, 476, 1708, 273, 269, 1924, 594, 13761, 856, 741, 2472, 543, 5820, 1586, 267, 543, 1934, 621, 568, 2483, 763, 9435, 7027, 723, 865, 1082, 811, 2472, 1631, 267, 6140, 609, 519, 1482, 6757, 5820, 538, 1142, 1587, 267, 855, 930, 7648, 1932, 269, 4256, 834, 22336, 1485, 257, 24429, 814, 835, 1447, 3114, 1631, 267, 799, 7012, 1405, 835, 602, 729, 1634, 547, 2014, 2860, 267, 855, 1705, 2014, 5778, 1729, 13877, 640, 543, 21463, 547, 10399, 269, 634, 834, 22336, 1485, 257, 1587, 1869, 3568, 476, 273, 2860, 27351, 6748, 6464, 267, 476, 273, 9449, 16162, 4533, 532, 6464, 267, 543, 835, 1373, 14124, 519, 1604, 610, 7320, 563, 296, 11567, 930, 540, 741, 824, 10877, 920, 839, 1932, 267, 1519, 741, 834, 738, 571, 257, 543, 834, 330, 1749, 257, 2472, 269, 634, 834, 738, 571, 257, 1587, 814, 1082, 811, 6464, 982, 519, 834, 22336, 1485, 257, 1587, 267, 543, 811, 6757, 1932, 267, 609, 476, 274, 2860, 27351, 6748, 6464, 267, 476, 274, 9449, 16162, 4533, 532, 6464, 267, 543, 476, 274, 799, 616, 6757, 547, 519, 1604, 543, 7320, 563, 763, 9435, 7027, 781, 834, 330, 1749, 257, 1587, 814, 519, 1482, 1297, 540, 6464, 607, 519, 834, 738, 571, 257, 1587, 267, 609, 1034, 1373, 519, 1482, 267, 543, 5627, 476, 273, 2860, 27351, 6748, 6464, 267, 476, 273, 9449, 16162, 4533, 532, 6464, 267, 855, 476, 274, 799, 616, 6757, 547, 519, 1604, 610, 7320, 269, 1403, 596, 1185, 1453, 267, 1131, 596, 2731, 2322, 713, 593, 873, 1631, 888, 763, 9435, 7027, 568, 1134, 3957, 3884, 1405, 621, 1862, 4946, 2860, 27351, 6748, 6464, 547, 741, 2472, 799, 616, 9277, 547, 2061, 2860, 267, 855, 2965, 4929, 621, 3079, 563, 1607, 2376, 2982, 519, 2956, 540, 2141, 10992, 519, 5820, 543, 6464, 711, 1175, 538, 707, 3536, 267, 855, 1018, 596, 2322, 593, 707, 2960, 269, 1548, 596, 2322, 593, 707, 2960, 568, 3335, 12842, 883, 707, 1560, 563, 299, 3089, 1176, 972, 616, 1732, 543, 10930, 2081, 547, 2061, 2960, 11871, 267, 1510, 519, 21084, 540, 2635, 3141, 4598, 602, 596, 991, 585, 6171, 667, 543, 824, 1072, 2640, 267, 543, 1510, 1373, 6534, 547, 6757, 543, 5739, 6464, 563, 4692, 1356, 7027, 269, 630, 1708, 273, 1040, 6129, 338, 920, 839, 269, 8158, 476, 866, 628, 5437, 476, 1708, 273, 689, 4179, 2517, 4178, 269, 4754, 1356, 322, 1735, 15078, 7749, 3820, 28898, 270, 3712, 27928, 4882, 12584, 10547, 454, 763, 8427, 6153, 338, 10029, 630, 307, 16598, 1040, 630, 1708, 273, 1040, 13038, 6129, 338, 920, 839, 31962, 910, 8899, 2157, 540, 22904, 2940, 9571, 269, 8158, 476, 736, 628, 5437, 476, 1708, 273, 689, 4179, 2517, 4178, 6745, 8615, 10993, 28898, 270, 531, 1068, 8276, 738, 2118, 1606, 12584, 920, 839, 29627, 718, 268, 869, 7400, 338, 1532, 20044, 2940, 1673, 25018, 539, 0, 296, 1424, 568, 513, 17784, 3463, 602, 5222, 519, 7098, 19392, 267, 2773, 267, 543, 7829, 540, 606, 8484, 269, 2755, 519, 6937, 540, 476, 6005, 616, 12649, 543, 8947, 1282, 12681, 13995, 543, 2866, 267, 519, 2010, 540, 476, 6005, 267, 2404, 2825, 2175, 543, 741, 5222, 616, 4502, 556, 23724, 1746, 563, 288, 518, 19392, 281, 30733, 12526, 1223, 1331, 6777, 267, 4672, 267, 543, 15470, 602, 28148, 1860, 519, 8484, 676, 4227, 12740, 543, 2810, 8749, 269, 2311, 10047, 3432, 630, 309, 337, 1070, 519, 8484, 949, 711, 581, 10451, 6190, 12740, 585, 1491, 4752, 543, 519, 12209, 616, 11630, 547, 588, 16226 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 19417, 815, 4463, 454, 453, 19677, 4732, 16577, 815, 2627, 454, 453, 19677, 15630, 11854, 539, 263, 273, 269, 271, 994, 453, 19677, 15630, 291, 3925, 263, 12690, 26509, 6134, 263, 271, 267, 476, 273, 269, 271, 2608, 2979, 32564, 4917, 28768, 22592, 1205, 11854, 539, 4311, 2187, 453, 16596, 1582, 4732, 32497, 454, 28768, 22592, 1305, 11854, 539, 4311, 267, 3432, 2187, 453, 19677, 4732, 32497, 815, 3432, 454, 28768, 22592, 1205, 291, 3925, 4311, 2187, 453, 16596, 1582, 6155, 597, 454, 28768, 22592, 1305, 291, 3925, 4311, 267, 4287, 2187, 453, 19677, 6155, 597, 815, 4287, 454, 28768, 22592, 1205, 309, 601, 6290, 4311, 2187, 453, 453, 341, 271, 815, 1582, 4732, 32497, 2608, 2979, 269, 6523, 4311, 6155, 597, 994, 453, 453, 341, 272, 815, 1582, 4732, 32497, 2608, 2979, 4732, 514, 4311, 6155, 597, 994, 453, 16596, 1496, 341, 271, 267, 642, 272, 2639, 28768, 22592, 1305, 309, 601, 6290, 4311, 267, 642, 2187, 453, 19677, 6155, 597, 815, 2979, 269, 27979, 273, 17635, 314, 272, 3910, 642, 314, 271, 7481, 453, 19677, 4732, 32497, 815, 2979, 28460, 17635, 314, 271, 316, 1262, 273, 1341, 642, 314, 272, 316, 1262, 273, 994, 28768, 22592, 1205, 303, 3789, 4311, 2187, 453, 16596, 1582, 11859, 344, 454, 28768, 22592, 1305, 303, 3789, 4311, 267, 1535, 267, 586, 2187, 453, 453, 343, 815, 3193, 263, 271, 267, 1295, 4311, 4732, 16577, 10947, 318, 12296, 19572, 1535, 4917, 453, 453, 344, 815, 3193, 263, 271, 267, 1295, 4311, 4732, 16577, 10947, 318, 19417, 19572, 586, 4917, 453, 19677, 11859, 344, 815, 1496, 343, 267, 586, 2639, 28768, 22592, 2721, 4311, 2187, 453, 453, 5550, 815, 27368, 10611, 624, 4311, 11859, 344, 314, 271, 316, 910, 1582, 9884, 5954, 1315, 476, 273, 269, 271, 267, 1582, 11859, 344, 314, 272, 316, 910, 1582, 269, 19417, 1315, 476, 273, 269, 271, 267, 1582, 9884, 5954, 267, 1582, 269, 19417, 994, 453, 19677, 4732, 16577, 269, 4565, 527, 4311, 269, 13548, 267, 6439, 994, 8931, 825, 1219, 25483, 4311, 267, 27010, 2187, 1038, 642, 815, 1582, 10947, 309, 601, 6290, 4590, 453, 453, 15383, 815, 1582, 10947, 303, 3789, 4590, 453, 453, 15383, 314, 271, 316, 6834, 642, 314, 271, 2639, 453, 453, 15383, 314, 272, 316, 6834, 642, 314, 272, 2639, 453, 19677, 15630, 303, 3789, 3287, 344, 314, 271, 3910, 27976, 314, 272, 7481, 453, 453, 258, 30770, 519, 3845, 547, 519, 3077, 563, 453, 453, 23251, 815, 27883, 307, 13759, 10947, 303, 3789, 314, 271, 316, 910, 27976, 314, 271, 25818, 630, 307, 13759, 10947, 303, 3789, 314, 272, 316, 910, 27976, 314, 272, 8079, 2639, 1038, 1253, 306, 336, 815, 630, 307, 13759, 10947, 303, 3789, 314, 271, 316, 910, 27976, 314, 271, 8079, 1262, 273, 1341, 630, 307, 13759, 10947, 303, 3789, 314, 272, 316, 910, 27976, 314, 272, 8079, 1262, 273, 454, 1038, 952, 1253, 306, 336, 2999, 476, 3953, 1262, 273, 543, 12297, 5560, 267, 341, 264, 3436, 271, 543, 12297, 5560, 267, 27010, 10947, 309, 601, 6290, 264, 2999, 476, 271, 912, 4848, 453, 2675, 531, 541, 815, 476, 273, 269, 271, 2608, 630, 341, 314, 271, 316, 2608, 546, 314, 271, 316, 1341, 642, 314, 272, 316, 2608, 546, 314, 272, 8079, 1315, 630, 323, 314, 271, 316, 2608, 546, 314, 271, 316, 1341, 546, 314, 272, 316, 2608, 546, 314, 272, 7481, 4848, 453, 341, 815, 1496, 341, 314, 271, 316, 910, 22185, 2608, 546, 314, 271, 3910, 642, 314, 272, 316, 910, 22185, 2608, 546, 314, 272, 27663, 4848, 453, 2675, 531, 541, 815, 476, 273, 269, 271, 2608, 630, 307, 13759, 10947, 309, 601, 6290, 314, 271, 316, 2608, 546, 314, 271, 316, 1341, 27010, 10947, 309, 601, 6290, 314, 272, 316, 2608, 546, 314, 272, 8079, 1315, 630, 323, 314, 271, 316, 2608, 546, 314, 271, 316, 1341, 546, 314, 272, 316, 2608, 546, 314, 272, 7481, 4848, 453, 307, 13759, 10947, 309, 601, 6290, 815, 1496, 307, 13759, 10947, 309, 601, 6290, 314, 271, 316, 910, 22185, 2608, 546, 314, 271, 3910, 27010, 10947, 309, 601, 6290, 314, 272, 316, 910, 22185, 2608, 546, 314, 272, 14963, 0, 11415, 815, 1412, 297, 6395, 309, 3041, 8025, 3633, 5357, 15771, 2562, 2752, 305, 4353, 2464, 2969, 300, 2839, 301, 20846, 312, 21788, 293, 6020, 21715, 297, 10292, 292, 21612, 7055, 14310, 815, 1412, 7055, 1721, 1915, 538, 5569, 912, 825, 952, 630, 30726, 2999, 1412, 320, 262, 2567, 3097, 1038, 1267, 815, 1267, 1341, 669, 337, 263, 867, 263, 30726, 264, 1341, 476, 3953, 994, 825, 3116, 912, 1038, 1267, 815, 1267, 1341, 1915, 454, 2745, 31114, 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 ]

[ 0, 18693, 12950, 7177, 1635, 667, 717, 681, 7776, 5131, 8281, 269, 4649, 16733, 307, 8008, 4917, 301, 534, 12771, 568, 3254, 547, 8115, 519, 11064, 540, 6211, 543, 2168, 9443, 676, 7311, 6289, 739, 23461, 543, 6289, 2684, 1162, 693, 1585, 4610, 540, 2257, 6902, 16887, 538, 6289, 558, 14037, 710, 543, 24519, 1759, 3075, 6765, 1949, 267, 1141, 971, 5536, 616, 540, 2101, 1719, 1496, 1321, 267, 476, 1724, 4940, 15089, 558, 17467, 666, 581, 1134, 20452, 607, 513, 1570, 609, 7306, 24132, 1063, 476, 272, 543, 476, 1911, 16354, 267, 799, 7506, 519, 4395, 4536, 540, 6289, 558, 14037, 710, 4358, 689, 19777, 839, 832, 267, 2890, 22381, 573, 923, 267, 3075, 6765, 267, 543, 2890, 6783, 4255, 547, 5160, 4702, 1496, 1691, 267, 1428, 267, 1626, 4940, 15089, 12771, 18271, 1225, 894, 8069, 693, 519, 23282, 7051, 1377, 547, 1020, 6289, 558, 14037, 1149, 269, 634, 2361, 540, 8790, 14037, 710, 16030, 6289, 11893, 12771, 267, 3075, 6765, 267, 19777, 839, 832, 267, 543, 5160, 4702, 814, 1044, 13324, 676, 20543, 1547, 1306, 20543, 17663, 2326, 2966, 693, 519, 10570, 610, 7636, 1377, 267, 789, 616, 2356, 1507, 21092, 6289, 2214, 12742, 1547, 9747, 267, 789, 666, 1847, 811, 11884, 538, 519, 1480, 1560, 607, 3379, 547, 8273, 2326, 269, 15089, 657, 7051, 21092, 5536, 8858, 2189, 7293, 267, 3114, 267, 7344, 267, 6419, 267, 5122, 267, 543, 6211, 3601, 269, 15089, 558, 14037, 1149, 723, 1831, 1134, 15874, 538, 2487, 2053, 1813, 547, 519, 1249, 602, 6289, 739, 23461, 1223, 581, 8246, 607, 6765, 8069, 676, 20206, 6819, 5061, 610, 1140, 2286, 9354, 5061, 543, 5838, 873, 547, 3077, 8031, 811, 10502, 609, 513, 6417, 5305, 1496, 1015, 267, 476, 866, 4940, 15089, 558, 14037, 710, 267, 568, 606, 6932, 2361, 7598, 519, 946, 540, 1702, 543, 2553, 540, 23282, 7220, 538, 2564, 7350, 543, 2068, 6604, 543, 32598, 269, 898, 708, 27289, 519, 13345, 540, 6289, 617, 7645, 2326, 1519, 6289, 528, 984, 1824, 267, 23282, 839, 832, 585, 5868, 267, 6765, 267, 543, 10444, 5301, 267, 543, 957, 10663, 2326, 538, 2661, 2281, 630, 8993, 269, 476, 272, 1040, 1280, 1383, 267, 513, 17560, 14835, 2861, 1505, 814, 1044, 2919, 799, 5916, 1312, 519, 2126, 543, 9196, 23857, 540, 2860, 5868, 1547, 634, 1360, 1101, 5108, 540, 17560, 14835, 2861, 3797, 3769, 20188, 1949, 899, 9067, 22199, 543, 8020, 21304, 267, 799, 616, 1631, 15111, 22190, 28508, 1547, 1452, 9067, 22199, 543, 8020, 21304, 666, 2270, 22803, 20543, 899, 4154, 610, 6419, 20543, 1547, 1452, 3601, 1577, 547, 606, 2333, 538, 519, 946, 540, 22803, 20543, 609, 606, 8561, 593, 3075, 6765, 267, 9196, 543, 519, 31706, 3252, 269, 769, 1840, 267, 6289, 739, 23461, 27333, 5351, 538, 7303, 5061, 689, 1373, 512, 7568, 1639, 538, 519, 16063, 3148, 543, 948, 519, 6765, 540, 838, 2130, 569, 1216, 30320, 5061, 547, 741, 3077, 4087, 269, 15089, 617, 2607, 338, 1397, 2362, 5711, 6915, 822, 22355, 1317, 789, 8858, 6093, 19718, 6127, 540, 4726, 696, 633, 1439, 26014, 2670, 563, 6798, 12950, 4702, 676, 546, 575, 986, 334, 1863, 4647, 269, 4649, 0, 2691, 6340, 609, 1004, 945, 616, 1007, 2681, 1235, 267, 3450, 873, 875, 547, 3589, 3803, 454, 24038, 814, 1831, 4101, 1813, 547, 1018, 594, 3494, 547, 581, 1134, 10784, 2105, 2943, 11234, 454, 309, 3041, 308, 3201, 19845, 27073, 5058, 281, 1411, 786, 991, 513, 1804, 12826, 269, 476, 275, 11680, 540, 4672, 267, 476, 275, 910, 476, 277, 11680, 540, 454, 19447, 6579, 5058, 4826, 269, 589, 6109, 3349, 799, 3025, 666, 1294, 269, 623, 1054, 1245, 619, 547, 3180, 519, 1494, 454, 1993, 14495, 1216, 563, 303, 712, 782, 519, 4672, 883, 519, 1804, 12826, 269, 3767, 267, 7444, 1039, 519, 14495, 1216, 547, 519, 4672, 269, 9105, 519, 454, 257, 29324, 257, 547, 7747, 713, 543, 547, 2995, 596, 1018, 789, 1294, 8345, 1934, 907, 2483, 15477, 9654, 302, 4785, 14877, 281, 634, 594, 4753, 568, 631, 5085, 16249, 269, 634, 834, 19447, 6579, 5058, 257, 1216, 3587, 16830, 543, 568, 1100, 454, 14075, 518, 693, 519, 21398, 6579, 5058, 18161, 19860, 269, 23099, 634, 10979, 814, 4299, 519, 14495, 1216, 269, 634, 14495, 1216, 814, 4299, 519, 4672, 19601, 16485, 519, 1053, 547, 1589, 585, 513, 4090, 267, 6236, 602, 519, 4672, 568, 2067, 4158, 4552, 2681, 269, 1656, 267, 602, 519, 14495, 1216, 568, 513, 12094, 540, 1769, 8628, 4552, 2681, 269, 594, 3972, 602, 4166, 267, 2576, 538, 1362, 786, 4063, 602, 519, 1267, 568, 12341, 14402, 982, 519, 4158, 4552, 649, 454, 11034, 539, 609, 267, 543, 602, 519, 1769, 4552, 2681, 814, 4299, 602, 4158, 4552, 907, 855, 602, 519, 1267, 454, 529, 10691, 607, 1769, 607, 519, 1259, 519, 2681, 729, 3989, 593, 519, 10189, 269, 5990, 19419, 17109, 4959, 454, 306, 6865, 11246, 295, 16730, 5442, 645, 4953, 25446, 2894, 519, 2067, 4552, 2681, 543, 519, 14402, 2681, 799, 729, 454, 1952, 29736, 547, 519, 4552, 563, 20332, 1377, 269, 7132, 269, 5426, 540, 22458, 7822, 4294, 2807, 5410, 891, 1927, 543, 1205, 513, 1297, 454, 12648, 602, 1297, 543, 7941, 621, 676, 476, 273, 2807, 8946, 2969, 568, 519, 3803, 4611, 1377, 540, 519, 4552, 563, 3383, 281, 1323, 1383, 281, 7849, 4552, 568, 1377, 476, 274, 630, 4364, 1756, 6960, 1040, 596, 4019, 513, 2681, 540, 1377, 476, 276, 630, 23409, 652, 9466, 1040, 476, 274, 7132, 476, 276, 815, 476, 279, 269, 19147, 713, 676, 476, 273, 1862, 634, 3803, 1377, 540, 519, 4552, 568, 1377, 454, 275, 267, 630, 23409, 9466, 1916, 763, 17354, 4320, 6927, 2484, 1447, 982, 596, 723, 1044, 25009, 1862, 811, 593, 602, 4947, 4166, 512, 1934, 593, 21861, 3687, 288, 6113, 328, 5025, 961, 16966, 256, 645, 0, 6624, 1004, 798, 711, 4628, 1174, 519, 3604, 1063, 9268, 543, 796, 15263, 539, 3536, 267, 543, 789, 616, 711, 607, 2241, 543, 834, 18872, 543, 3043, 257, 607, 649, 1131, 899, 873, 547, 581, 269, 23883, 950, 649, 2911, 827, 519, 22394, 2012, 834, 15263, 539, 257, 2507, 1548, 1281, 713, 1611, 888, 763, 10539, 2501, 5631, 689, 519, 1249, 602, 649, 1419, 946, 519, 2165, 1412, 15263, 539, 262, 1426, 547, 2911, 827, 1875, 32103, 267, 5739, 26437, 3536, 593, 519, 2344, 543, 538, 3728, 1426, 14060, 269, 901, 538, 2490, 5012, 547, 519, 3932, 602, 2899, 513, 1426, 568, 9268, 267, 621, 568, 8850, 5739, 269, 1809, 621, 781, 711, 899, 602, 2336, 20007, 1227, 267, 952, 513, 1426, 568, 12012, 538, 1022, 1259, 689, 922, 3312, 1106, 267, 621, 568, 2808, 9268, 910, 26759, 269, 519, 28777, 5779, 568, 9268, 1317, 621, 568, 1100, 3476, 6151, 269, 4425, 6150, 12277, 616, 849, 9268, 267, 3092, 269, 7498, 7212, 1082, 9268, 3536, 666, 581, 543, 616, 5739, 267, 711, 782, 616, 269, 1656, 1175, 1317, 1945, 814, 1044, 556, 1740, 539, 3085, 1405, 8209, 1611, 621, 781, 3983, 563, 3383, 267, 538, 1931, 547, 16174, 1919, 1732, 267, 649, 786, 7941, 9268, 3536, 883, 30194, 9268, 630, 322, 10541, 267, 585, 1383, 264, 543, 4628, 9268, 630, 6518, 649, 786, 5631, 2911, 827, 1934, 1040, 1284, 786, 849, 1413, 538, 811, 1469, 693, 519, 3604, 1063, 9268, 543, 796, 15263, 539, 3536, 267, 519, 2601, 789, 2291, 543, 1018, 741, 5383, 543, 11393, 616, 563, 31088, 539, 1426, 2488, 3606, 3354, 454, 3080, 540, 519, 1034, 1713, 5383, 540, 9268, 1426, 568, 602, 621, 568, 4443, 547, 4558, 269, 898, 2488, 3354, 538, 2053, 540, 6433, 1317, 621, 568, 10464, 547, 3132, 267, 4444, 543, 666, 581, 6740, 585, 513, 1279, 942, 269, 3502, 1152, 602, 910, 1426, 4393, 1281, 711, 2141, 1611, 513, 21324, 538, 922, 2298, 269, 2201, 519, 14669, 910, 3006, 519, 6587, 568, 3020, 269, 14409, 666, 2087, 519, 2298, 267, 8244, 267, 6940, 267, 8244, 540, 513, 1426, 267, 543, 693, 519, 1482, 942, 666, 2087, 922, 9422, 3601, 563, 1607, 568, 513, 1390, 5413, 267, 2523, 538, 25013, 2694, 540, 519, 1158, 267, 1141, 1569, 547, 1426, 568, 3908, 267, 2883, 3255, 616, 8766, 543, 835, 540, 519, 1292, 2042, 540, 519, 2551, 972, 568, 22926, 269, 3509, 2477, 538, 4000, 616, 513, 6093, 1383, 540, 713, 563, 258, 2635, 543, 4190, 454, 4415, 713, 2376, 649, 786, 2132, 811, 610, 1447, 547, 930, 540, 519, 2596, 3741, 540, 2635, 543, 3811, 2597, 2530, 269, 8666, 281, 13535, 3873, 5549, 269, 1315, 5667, 680, 1662, 2060, 713, 2376, 649, 786, 2132, 811, 610, 1447, 547, 930, 540, 519, 2596, 3741, 540, 2635, 543, 3811, 2597, 2530, 269, 1403, 5063, 4429, 31088, 539, 3536, 543, 741, 1198, 593, 1072, 454, 8170, 1576, 267, 594, 267, 899, 1034, 3988, 540, 519, 5816, 267, 2661, 538, 2484, 811, 2919, 610, 1134, 31465, 2804, 2477, 267, 1141, 22926, 568, 711, 513, 1966, 269, 3973, 267, 585, 1004, 899, 721, 267, 568, 972, 1022, 4324, 693, 782, 689, 4189, 9268, 3536, 607, 851, 540, 938, 2732, 267, 610, 666, 621, 1152, 22009, 938, 1072, 543, 4137, 888, 14582, 10079, 621, 610, 711, 267, 1256, 1004, 538, 811, 4359, 267, 2919, 2477, 666, 1491, 5413, 540, 9268, 3536, 593, 741, 10624, 1510, 20468, 827, 741, 1072, 563, 1103, 1249, 267, 9268, 3536, 4805, 616, 711, 5739, 547, 596, 952, 596, 1810, 1405, 936, 4777, 621, 269, 634, 1966, 568, 602, 713, 1826, 540, 1426, 2356, 4523, 4010, 713, 910, 585, 513, 1297, 540, 4128, 267, 543, 1317, 540, 519, 15116, 885, 540, 922, 9422, 5888, 543, 7907, 267, 621, 568, 811, 2352, 547, 2893, 23847, 609, 621, 543, 31952, 805, 811, 3362, 269, 1656, 713, 5012, 547, 2942, 2242, 538, 1560, 5888, 543, 21324, 540, 1072, 538, 519, 1279, 2196, 563, 4913, 267, 950, 513, 9793, 2179, 540, 9268, 1426, 568, 3769, 538, 606, 6382, 27357, 267, 2635, 2732, 2732, 543, 1034, 11932, 910, 606, 3617, 1455, 1608, 7595, 6981, 585, 519, 1554, 267, 922, 4616, 786, 711, 28148, 1860, 519, 1560, 563, 1607, 568, 1317, 519, 1608, 7595, 3666, 538, 519, 1560, 11887, 922, 5888, 267, 543, 519, 5888, 540, 519, 1560, 7494, 5540, 1072, 563, 3383, 952, 519, 2698, 1297, 7608, 8477, 585, 519, 1554, 568, 896, 1852, 630, 514, 3666, 267, 538, 5826, 610, 538, 606, 3617, 17211, 610, 21045, 267, 6606, 538, 2597, 2530, 610, 2333, 538, 4887, 2527, 1070, 519, 5551, 2635, 267, 3337, 569, 1560, 666, 581, 6913, 267, 1256, 952, 649, 3548, 9268, 1426, 538, 938, 2732, 689, 942, 547, 942, 563, 4913, 267, 4189, 2898, 9268, 3536, 610, 1804, 5666, 540, 873, 568, 711, 513, 1434, 2856, 269, 2334, 781, 1946, 912, 11795, 3720, 538, 519, 5888, 540, 25050, 19153, 538, 9268, 543, 796, 15263, 539, 3536, 563, 8133, 267, 9268, 3536, 666, 581, 9268, 547, 1732, 2270, 610, 11677, 741, 5567, 267, 855, 713, 568, 711, 519, 2013, 609, 1034, 3536, 593, 519, 2344, 563, 1103, 1249, 267, 2687, 547, 2090, 267, 1034, 9268, 26437, 3536, 593, 519, 2344, 616, 28811, 538, 25050, 19153, 630, 10903, 7530, 15800, 6886, 1040, 634, 811, 9268, 513, 1426, 568, 267, 519, 1447, 25050, 19153, 543, 6775, 621, 3568, 563, 3383, 267, 1247, 519, 6981, 540, 9268, 3536, 267, 538, 606, 6382, 6417, 7154, 267, 568, 711, 513, 1966, 585, 519, 2949, 5888, 543, 1072, 540, 519, 1560, 267, 1287, 25919, 7357, 593, 621, 666, 1291, 547, 513, 1297, 540, 28119, 2175, 1813, 547, 4389, 6981, 540, 25050, 19153, 563, 11795, 3720, 538, 519, 25294, 1761, 540, 9268, 543, 796, 15263, 539, 1426, 454, 2252, 649, 1491, 607, 606, 1383, 513, 1353, 593, 1426, 2893, 328, 1214, 267, 799, 19776, 513, 1804, 1297, 543, 513, 2647, 2039, 540, 3536, 267, 649, 786, 1294, 602, 519, 1655, 2893, 328, 1214, 568, 6913, 609, 796, 15263, 539, 2898, 9274, 267, 543, 519, 1034, 2352, 547, 2893, 23847, 609, 4628, 9268, 3536, 563, 5804, 513, 2893, 328, 1214, 1448, 540, 2070, 267, 2705, 267, 711, 782, 9268, 3536, 616, 1202, 520, 4192, 269, 589, 1434, 1383, 540, 513, 3810, 9268, 1426, 267, 799, 267, 2705, 267, 25389, 1134, 543, 3622, 814, 513, 1434, 9422, 5888, 267, 568, 2898, 22596, 18437, 630, 4944, 698, 515, 26152, 267, 18437, 267, 3092, 13776, 799, 538, 519, 1657, 1353, 15824, 1454, 1732, 982, 513, 1297, 540, 796, 15263, 539, 3536, 269, 594, 849, 1331, 835, 538, 1250, 7218, 262, 20816 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 307, 514, 15183, 538, 519, 10854, 6390, 5617, 527, 2426, 11866, 723, 1044, 23699, 585, 827, 513, 4627, 1296, 269, 11374, 519, 1615, 340, 766, 540, 513, 476, 1960, 280, 12080, 540, 11780, 543, 12752, 31885, 602, 17646, 568, 711, 606, 13143, 6221, 547, 581, 16913, 543, 14931, 267, 519, 7813, 320, 1036, 550, 9783, 513, 31885, 4758, 10479, 585, 519, 1004, 547, 9553, 17646, 538, 476, 1220, 272, 269, 9182, 267, 834, 684, 935, 14846, 15183, 257, 630, 339, 3711, 836, 13504, 517, 341, 20378, 1070, 519, 2165, 1031, 547, 4766, 2199, 1507, 8397, 17646, 15183, 267, 723, 9450, 3648, 2094, 476, 1220, 271, 269, 634, 5599, 2238, 2333, 519, 5763, 540, 519, 1004, 267, 855, 789, 6175, 2825, 6617, 269, 5510, 17060, 5599, 814, 4389, 1216, 2298, 607, 2698, 19729, 17571, 723, 2799, 543, 9063, 8519, 282, 2242, 538, 519, 26026, 539, 723, 3361, 2242, 538, 536, 5460, 545, 18508, 267, 21426, 543, 28506, 2023, 4763, 543, 606, 2799, 9019, 4994, 540, 14147, 18625, 543, 741, 2404, 3165, 269, 634, 1297, 540, 3165, 9575, 538, 519, 21369, 5599, 3135, 814, 8519, 269, 769, 1633, 5599, 2534, 814, 4389, 3037, 12680, 543, 18508, 543, 21426, 4763, 269, 769, 1633, 5599, 814, 4389, 519, 1297, 540, 2043, 267, 2249, 543, 2030, 3885, 269, 769, 930, 2127, 267, 10363, 5599, 3123, 17160, 538, 519, 24925, 4005, 543, 14796, 9897, 543, 13123, 269, 17502, 1470, 20300, 6281, 1239, 941, 6394, 689, 1585, 4609, 593, 10854, 6390, 6816, 998, 513, 3332, 2689, 269, 769, 1840, 547, 16283, 7029, 543, 2797, 786, 593, 519, 851, 540, 519, 2199, 543, 3084, 6608, 267, 513, 1970, 1377, 540, 1876, 11268, 4667, 547, 581, 513, 8789, 3815, 538, 519, 1970, 2825, 4656, 269, 1452, 4681, 949, 581, 1031, 547, 17108, 519, 9553, 19479, 1982, 3323, 676, 519, 4102, 17646, 5599, 2754, 269, 901, 1957, 9414, 930, 3255, 543, 8925, 563, 31572, 519, 8739, 20300, 1764, 540, 17646, 5599, 593, 10854, 6390, 6816, 267, 12868, 910, 7041, 585, 19479, 454, 301, 4669, 10937, 27256, 267, 661, 269, 1299, 3397, 755, 2088, 267, 674, 269, 630, 1001, 276, 1040, 19737, 519, 8739, 20300, 1764, 540, 17646, 5599, 593, 10854, 6390, 6816, 267, 12868, 910, 7041, 585, 19479, 269, 769, 589, 11065, 269, 18539, 4471, 267, 631, 269, 570, 756, 321, 9116, 267, 700, 269, 27517, 1846, 5652, 267, 1299, 667, 269, 8709, 2098, 2643, 630, 32295, 13776, 18619, 540, 519, 476, 1015, 628, 4139, 10985, 593, 17719, 1849, 3837, 269, 27084, 300, 710, 12458, 26894, 10418, 585, 2983, 727, 2559, 923, 267, 26551, 630, 653, 269, 476, 279, 1704, 268, 279, 2918, 1040, 0, 8893, 4643, 281, 19791, 543, 8562, 636, 325, 3720, 540, 19449, 3380, 9119, 454, 1607, 3992, 1544, 2882, 519, 6859, 267, 23944, 28987, 267, 543, 608, 7501, 540, 519, 3992, 3450, 1053, 875, 547, 1265, 519, 1858, 543, 519, 18592, 540, 513, 5858, 2016, 922, 8953, 610, 8006, 543, 875, 547, 9305, 1312, 519, 1858, 543, 18592, 547, 4194, 1585, 2042, 563, 10743, 786, 581, 2111, 547, 454, 268, 1265, 519, 18592, 540, 513, 5858, 2016, 922, 8953, 610, 8006, 267, 610, 13030, 17930, 2676, 268, 1265, 519, 1858, 540, 513, 5858, 2016, 922, 8953, 267, 8006, 267, 610, 18592, 267, 610, 13030, 17930, 2676, 268, 1265, 519, 2127, 543, 4931, 325, 3720, 540, 5546, 9112, 1210, 10580, 267, 12931, 597, 3380, 267, 610, 10116, 10580, 2676, 268, 4194, 1483, 3734, 2042, 5473, 519, 2127, 543, 4931, 325, 3720, 540, 10580, 563, 10743, 1058, 2907, 581, 5432, 609, 454, 268, 1018, 513, 5858, 568, 543, 7114, 922, 8953, 543, 8006, 2676, 268, 1483, 2338, 543, 4238, 593, 873, 563, 10743, 786, 711, 3382, 454, 268, 476, 274, 291, 5546, 269, 0, 11795, 2159, 625, 609, 13125, 1154, 568, 2731, 1455, 609, 5778, 323, 1853, 7217, 1004, 269, 901, 1522, 581, 1317, 540, 10444, 4128, 610, 3747, 21084, 269, 1284, 4312, 4547, 1927, 930, 2656, 4388, 602, 3237, 543, 1416, 3464, 689, 938, 9365, 2146, 723, 3838, 609, 1142, 824, 563, 5278, 5778, 323, 1853, 7217, 1453, 723, 513, 4389, 2631, 540, 954, 334, 4003, 267, 799, 2306, 621, 2352, 585, 873, 547, 917, 950, 789, 991, 547, 979, 547, 519, 16003, 1317, 789, 3668, 519, 4835, 5401, 269, 898, 666, 1745, 24858, 585, 873, 547, 581, 16111, 5143, 547, 979, 547, 519, 16003, 950, 789, 1810, 1406, 1589, 789, 991, 547, 267, 543, 666, 581, 8449, 24858, 585, 519, 4079, 1472, 873, 547, 723, 547, 4308, 609, 6727, 26525, 16003, 2115, 610, 10913, 563, 1607, 949, 581, 1500, 811, 18476, 1282, 2053, 540, 2566, 267, 950, 10444, 4393, 7965, 666, 1831, 811, 11342, 267, 543, 5778, 323, 1853, 7217, 1004, 949, 1745, 811, 6213, 547, 10444, 15128, 982, 8912, 563, 16605, 547, 513, 6296, 454, 2108, 16352, 513, 13125, 1154, 6296, 585, 938, 8250, 2731, 5280, 607, 621, 1175, 2968, 851, 540, 1018, 1352, 1705, 1169, 1554, 269, 1284, 3893, 1200, 547, 979, 547, 519, 16003, 1354, 1142, 7594, 543, 1354, 5127, 269, 901, 814, 5280, 2527, 1947, 538, 4227, 10913, 630, 663, 814, 3893, 7759, 540, 1034, 540, 519, 16003, 5829, 7440, 607, 1134, 14386, 7536, 307, 1779, 547, 1200, 827, 621, 454, 14071, 1336, 519, 1523, 540, 513, 2048, 339, 716, 673, 649, 324, 685, 513, 3730, 835, 630, 628, 3471, 547, 9791, 344, 14386, 1107, 865, 1631, 1256, 952, 938, 8250, 3085, 1406, 1589, 1352, 2115, 547, 979, 267, 1352, 786, 1631, 723, 513, 2119, 1354, 649, 979, 856, 269, 901, 814, 1500, 513, 5458, 3017, 3034, 7476, 1153, 593, 4604, 454, 16352, 519, 1153, 3238, 538, 11488, 707, 8004, 547, 519, 16003, 693, 2547, 2899, 1282, 519, 1554, 267, 610, 2348, 513, 6101, 13125, 1154, 1544, 666, 2731, 948, 563, 8794, 6632, 530, 6346, 630, 6518, 979, 538, 519, 10822, 267, 2760, 1166, 19813, 1070, 666, 948, 267, 607, 666, 9849, 17309, 269, 2368, 3885, 1577, 741, 30751, 946, 513, 14927, 1166, 14128, 610, 23431, 12308, 530, 6346, 3079, 563, 18455, 5423, 547, 948, 26763, 543, 7654, 4019, 513, 8645, 971, 607, 14181, 665, 8145, 267, 7488, 540, 1200, 2085, 267, 786, 948, 547, 2569, 519, 8458, 540, 15319, 1145, 543, 3968, 563, 303, 20094, 938, 2146, 14560, 454, 288, 2462, 982, 5652, 537, 547, 782, 938, 2385, 270, 3249, 337, 2146, 585, 782, 707, 7418, 2336, 18794, 938, 2146, 281, 3776, 4357, 9365, 1895, 568, 585, 4687, 4388, 543, 547, 1921, 1107, 621, 779, 585, 3237, 610, 1416, 3464, 540, 5778, 323, 1853, 7217, 6690, 610, 4008, 3309, 1762, 1004, 538, 5045, 7178, 4789, 563, 2710, 596, 723, 1022, 8292, 610, 10372, 547, 1039, 286, 7490, 4757, 4757, 11333, 2593, 543, 649, 3580, 1832, 21130, 713, 2985, 2336, 4322, 2472, 616, 5227, 676, 938, 2146, 267, 855, 2472, 616, 711, 28337, 609, 610, 5227, 676, 3026, 517, 291, 24387, 693, 782, 269, 7490, 1294, 938, 771, 25068, 1934, 269, 0, 24127, 476, 4510, 267, 17136, 476, 277, 267, 4873, 476, 1001, 280, 454, 19878, 773, 717, 3234, 26684, 267, 700, 14149, 454, 763, 2806, 9646, 618, 540, 2672, 20141, 14904, 454, 303, 1886, 7859, 540, 552, 30984, 543, 19443, 11980, 2303, 602, 2831, 616, 5701, 1732, 982, 3425, 1317, 649, 666, 968, 1584, 1524, 892, 2831, 950, 789, 1831, 561, 877, 267, 7210, 267, 610, 2025, 269, 27259, 2259, 2882, 552, 30984, 607, 513, 11587, 547, 31945, 2831, 945, 616, 7092, 269, 4208, 798, 649, 711, 798, 713, 547, 3425, 286, 8567, 814, 519, 17046, 2626, 269, 2696, 2813, 1480, 7919, 538, 1010, 3239, 267, 1655, 12976, 15683, 593, 721, 602, 568, 711, 1759, 593, 938, 5759, 610, 16169, 269, 634, 15713, 18971, 540, 938, 1390, 4182, 6444, 519, 1582, 17272, 1211, 5168, 602, 782, 1480, 7919, 968, 732, 2813, 3160, 267, 602, 789, 616, 1439, 15735, 676, 741, 29763, 609, 1978, 796, 531, 1329, 762, 2924, 267, 602, 1851, 891, 616, 1272, 1848, 22206, 1359, 543, 21341, 593, 1866, 267, 4061, 267, 1281, 711, 2014, 1480, 7919, 547, 6336, 741, 7915, 15683, 267, 6862, 1281, 621, 17854, 2921, 1776, 1480, 1272, 610, 585, 10623, 1746, 938, 1378, 269, 0, 16914, 6342, 4755, 267, 543, 513, 5679, 18088, 13050, 5694, 666, 581, 513, 1253, 7675, 5959, 6595, 269, 6787, 621, 4386, 1282, 5026, 2238, 267, 513, 2887, 267, 610, 1022, 824, 6397, 2680, 267, 6616, 875, 547, 4431, 16425, 666, 3648, 2333, 519, 8458, 540, 9494, 519, 5694, 269, 769, 713, 5816, 2022, 267, 649, 786, 1683, 596, 609, 1900, 8386, 9912, 5528, 593, 1018, 547, 798, 952, 707, 5694, 4991, 5679, 18088, 856, 267, 4543, 596, 6330, 713, 5959, 6595, 609, 6015, 543, 1416, 563, 1432, 547, 1684, 1403, 2659, 29392, 717, 1115, 12928, 18088, 4934, 454, 1103, 519, 2680, 540, 513, 5679, 18088, 13050, 5694, 267, 621, 779, 1271, 547, 2611, 9350, 543, 957, 24847, 269, 5384, 568, 540, 519, 9759, 950, 621, 2501, 547, 9494, 519, 5694, 543, 2810, 519, 10171, 540, 3811, 556, 574, 8690, 566, 563, 21652, 548, 519, 29392, 609, 5516, 454, 294, 1836, 4584, 909, 519, 5694, 676, 519, 13862, 630, 1492, 851, 602, 568, 7363, 7298, 538, 519, 5023, 264, 543, 2057, 15700, 519, 3597, 269, 30047, 519, 5694, 29535, 2299, 11151, 1022, 2417, 3441, 547, 519, 3597, 2627, 610, 519, 10347, 8031, 563, 305, 20600, 519, 29392, 630, 2252, 3026, 10354, 994, 2252, 519, 5694, 568, 18660, 267, 27125, 621, 13713, 609, 5144, 610, 513, 29649, 3070, 269, 3680, 1210, 1216, 610, 1022, 7738, 8069, 607, 789, 666, 5732, 2800, 519, 10347, 2281, 593, 519, 3597, 602, 5351, 538, 556, 3430, 16670, 563, 15430, 2925, 519, 29392, 779, 7720, 626, 675, 454, 763, 5694, 2115, 547, 581, 6854, 5848, 547, 2087, 922, 8458, 540, 6668, 269, 1703, 616, 513, 1906, 2409, 547, 8190, 922, 7509, 912, 20278, 519, 5694, 1394, 883, 519, 23094, 454, 2252, 2009, 267, 2119, 9900, 556, 12133, 532, 519, 5694, 883, 922, 23094, 267, 1818, 2386, 621, 568, 6849, 519, 2953, 1259, 269, 15233, 9543, 2604, 547, 3180, 621, 538, 1747, 563, 1805, 648, 519, 5694, 538, 5144, 454, 2252, 556, 12133, 542, 3884, 1406, 15164, 267, 21477, 613, 519, 5694, 538, 513, 8708, 540, 4411, 5144, 269, 634, 5144, 2337, 2226, 519, 5694, 779, 7509, 543, 2488, 513, 5078, 1604, 585, 6283, 563, 8196, 513, 5694, 11091, 6539, 454, 21446, 8271, 267, 596, 666, 946, 513, 5694, 11091, 6539, 610, 606, 6595, 5694, 11091, 1587, 602, 568, 4481, 2966, 547, 1832, 5679, 18088, 13050, 4522, 14323, 585, 513, 2110, 1974, 563, 2252, 9039, 540, 519, 1657, 3681, 616, 2139, 267, 596, 666, 849, 1747, 519, 5694, 538, 707, 5023, 267, 23295, 1063, 707, 32336, 543, 14779, 267, 547, 1832, 621, 5848, 609, 19975, 563, 5353, 2131, 8056, 18957, 15482, 5516, 454, 11742, 568, 2565, 538, 9494, 513, 5679, 18088, 13050, 5694, 267, 865, 621, 779, 2629, 547, 3343, 3318, 5959, 1416, 5612, 269, 13555, 707, 11290, 610, 3643, 606, 6595, 5959, 16758, 607, 4166, 607, 2009, 269, 11910, 6619, 547, 1217, 873, 827, 519, 3510, 267, 4180, 789, 616, 5423, 547, 6023, 519, 6595, 16425, 563, 6944, 1503, 28563, 5338, 543, 1325, 4582, 5573, 10266, 454, 2252, 972, 568, 1022, 11702, 610, 1928, 2404, 609, 519, 5945, 267, 9900, 11116, 593, 513, 2973, 4062, 540, 12238, 2763, 610, 513, 14927, 7401, 9126, 547, 948, 1852, 519, 11702, 269, 3683, 7308, 23716, 1928, 17212, 951, 666, 581, 3144, 547, 4383, 1022, 9636, 267, 1739, 519, 5528, 3177, 563, 10287, 2659, 19239, 626, 779, 27491, 454, 5629, 596, 3914, 519, 5959, 3318, 267, 789, 786, 2708, 519, 3510, 543, 3313, 519, 1655, 1576, 540, 2962, 269, 1358, 949, 3801, 547, 556, 21553, 8690, 519, 5694, 610, 1865, 4244, 3681, 267, 971, 607, 513, 5959, 15498, 610, 8115, 267, 4470, 593, 519, 6381, 563, 7093, 1203, 633, 21474, 585, 519, 8892, 454, 4407, 10913, 616, 20437, 267, 972, 616, 930, 15324, 3800, 596, 666, 1491, 547, 2569, 519, 1981, 540, 5694, 7063, 269, 1403, 596, 4497, 538, 5026, 610, 2238, 602, 10460, 513, 2362, 1981, 540, 5959, 8194, 267, 2015, 9849, 513, 5023, 31384, 547, 2149, 707, 4522, 689, 1764, 269, 3958, 267, 8026, 1434, 5711, 9882, 543, 4509, 2834, 5959, 2638, 13522, 666, 948, 2697, 1022, 5817, 5959, 2152, 602, 949, 14020, 4522, 543, 1118, 873, 811, 11630, 547, 3441, 563, 10387, 3508, 1125, 519, 11957, 540, 12333, 15482, 5516, 454, 16987, 1329, 1424, 513 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 634, 4661, 1996, 12876, 11780, 568, 2705, 30096, 563, 1103, 1931, 547, 2057, 2942, 5222, 593, 824, 12696, 543, 547, 6175, 519, 21341, 540, 12876, 11780, 12696, 519, 2978, 2454, 3906, 5000, 12696, 547, 4129, 1518, 741, 2504, 543, 948, 873, 547, 1569, 1007, 6990, 269, 5015, 267, 607, 594, 786, 1865, 538, 519, 1985, 3296, 267, 14669, 547, 31362, 824, 12696, 267, 12876, 11780, 814, 8329, 547, 513, 6626, 7678, 540, 1514, 4441, 543, 24501, 602, 1522, 3142, 827, 2318, 1689, 585, 782, 12696, 563, 7197, 540, 519, 9880, 540, 519, 13416, 532, 540, 12876, 11780, 2501, 2705, 689, 18793, 540, 519, 2489, 2856, 540, 4244, 4123, 269, 2290, 5855, 568, 602, 2462, 13416, 14078, 602, 1491, 851, 538, 12876, 11780, 24183, 519, 5048, 540, 12876, 11780, 563, 8489, 553, 519, 12876, 11780, 3350, 3323, 607, 513, 3350, 540, 4244, 9467, 3906, 602, 13736, 4123, 711, 2059, 18756, 3515, 543, 13934, 6671, 8013, 543, 7518, 5511, 9467, 2853, 519, 13416, 532, 540, 12876, 11780, 12857, 1007, 11051, 609, 1114, 4690, 543, 2853, 883, 12876, 11780, 563, 8489, 553, 11083, 11675, 616, 5461, 538, 2810, 519, 2640, 585, 519, 12696, 538, 519, 3162, 267, 519, 24500, 540, 13416, 14078, 899, 10060, 321, 15085, 610, 18806, 1723, 616, 676, 1100, 1797, 519, 3741, 540, 12876, 11780, 855, 547, 2333, 741, 12434, 681, 22095, 267, 901, 3017, 538, 1719, 3587, 8915, 585, 1383, 538, 519, 936, 335, 878, 532, 540, 12876, 11780, 2472, 676, 1082, 2706, 21466, 11800, 267, 602, 814, 1044, 5941, 1657, 563, 5278, 540, 519, 4130, 4244, 9467, 3906, 602, 6133, 2600, 540, 741, 6995, 12876, 11780, 12628, 856, 540, 3791, 5428, 13995, 15587, 607, 513, 3210, 547, 891, 2853, 269, 1358, 1616, 547, 31194, 593, 519, 3090, 1510, 22867, 547, 1018, 621, 6763, 585, 269, 2368, 1806, 281, 10060, 321, 15085, 267, 799, 7550, 12876, 11780, 6995, 896, 4049, 7082, 2604, 538, 335, 3420, 1078, 538, 1152, 476, 274, 269, 1306, 4425, 1054, 814, 7074, 267, 519, 7887, 10685, 3260, 518, 540, 12876, 11780, 538, 6628, 267, 519, 3213, 641, 267, 568, 693, 519, 1482, 942, 519, 7887, 18579, 540, 24307, 689, 519, 9167, 1455, 6694, 3609, 538, 519, 2197, 563, 289, 650, 966, 528, 2917, 476, 6507, 3947, 1776, 4277, 543, 10213, 1383, 281, 634, 1306, 6767, 9546, 5336, 691, 2300, 4310, 922, 6521, 2476, 689, 27126, 1034, 540, 922, 20397, 689, 1507, 11396, 538, 519, 12144, 676, 15738, 547, 922, 12876, 11780, 20397, 267, 10223, 519, 1249, 602, 621, 568, 1869, 2009, 547, 4444, 12144, 20397, 269, 898, 1705, 2705, 16401, 519, 1249, 602, 519, 12876, 11780, 20397, 1152, 1500, 909, 606, 5393, 1507, 6871, 540, 782, 519, 20397, 621, 4421, 269, 589, 1644, 1966, 609, 3594, 593, 8709, 640, 4023, 12876, 11780, 568, 519, 12623, 11496, 538, 1379, 602, 568, 2813, 676, 519, 1249, 602, 13416, 14078, 1152, 6133, 513, 1507, 6712, 540, 741, 2472, 896, 519, 6003, 11412, 731, 267, 4595, 713, 6712, 2306, 909, 513, 5458, 6871, 540, 782, 519, 12876, 11780, 6455, 267, 519, 2978, 2454, 3906, 1831, 8200, 593, 891, 6455, 267, 1247, 14078, 899, 10060, 321, 15085, 1223, 3362, 1689, 741, 9140, 4507, 563, 2252, 10060, 321, 15085, 1131, 6430, 547, 4123, 922, 476, 274, 269, 634, 2208, 540, 12876, 11780, 883, 519, 13416, 12217, 10373, 7399, 282, 855, 693, 519, 1482, 942, 621, 5932, 930, 1007, 12178, 267, 5631, 519, 14944, 1456, 540, 519, 5048, 540, 12876, 11780, 267, 519, 4023, 31290, 540, 13998, 543, 13476, 16160, 14078, 543, 2810, 21341, 540, 519, 2978, 2454, 3906, 593, 1804, 21625, 563, 763, 824, 2427, 540, 519, 2804, 1764, 12876, 11780, 814, 593, 519, 2344, 568, 922, 9940, 1379, 547, 3310, 12721, 14078, 547, 1689, 741, 9467, 2853, 3544, 540, 12876, 11780, 269, 901, 1379, 540, 12876, 11780, 568, 5631, 922, 2702, 547, 18549, 3310, 543, 1689, 519, 7375, 540, 6800, 676, 15738, 3007, 593, 519, 12696, 543, 519, 2175, 540, 2504, 543, 676, 3246, 513, 14323, 4244, 269, 634, 8739, 14426, 2242, 2404, 609, 713, 4661, 723, 1044, 9788, 856, 1657, 563, 9558, 20139, 14078, 723, 1419, 15527, 547, 7082, 7569, 543, 2604, 585, 1732, 1514, 543, 2825, 2504, 676, 19163, 602, 621, 568, 7543, 547, 1852, 519, 3003, 3761, 5832, 563, 763, 1007, 6498, 540, 11668, 267, 5473, 519, 10661, 540, 13143, 4393, 10851, 21768, 313, 338, 29514, 1016, 4186, 24219, 543, 10709, 2504, 616, 1031, 676, 570, 10998, 338, 547, 17854, 14226, 543, 2825, 9552, 607, 17149, 543, 7543, 547, 1852, 5062, 28061, 267, 12876, 11780, 2982, 538, 2259, 602, 1514, 543, 8733, 14226, 616, 711, 2067, 543, 602, 14078, 666, 1491, 5539, 267, 3976, 18445, 519, 3044, 23294, 2045, 6547, 540, 14078, 4636, 563, 2005, 568, 513, 1134, 3964, 1249, 602, 811, 543, 811, 14078, 2746, 547, 891, 2344, 12503, 543, 13346, 7082, 7375, 676, 9591, 10911, 306, 9746, 1514, 5539, 4441, 543, 676, 2870, 4808, 543, 4441, 585, 4835, 5464, 23688, 619, 321, 2795, 267, 513, 282, 536, 282, 11412, 731, 267, 10060, 321, 15085, 267, 799, 23619, 476, 274, 563, 1805, 16808, 15085, 3804, 568, 267, 607, 11609, 538, 3349, 476, 274, 267, 547, 5595, 519, 2179, 540, 6995, 21775, 896, 519, 595, 269, 7305, 476, 274, 281, 5741, 539, 2333, 540, 10060, 321, 15085, 6995, 11751, 896, 922, 1378, 6003, 595, 269, 769, 12570, 891, 7835, 835, 1101, 814, 547, 1491, 883, 2272, 519, 5393, 1164, 3902, 10060, 321, 15085, 17188, 547, 922, 12696, 269, 901, 2328, 2123, 3948, 3028, 606, 5393, 9621, 543, 5393, 2500, 1646, 563, 763, 3003, 6455, 540, 10060, 321, 15085, 267, 4421, 693, 606, 3328, 3902, 2362, 982, 12876, 11780, 267, 2179, 547, 476, 273, 1557, 593, 3028, 540, 8103, 540, 2518, 6995, 6455, 543, 616, 811, 982, 2185, 2053, 519, 2179, 540, 12876, 11780, 6995, 14468, 11451, 538, 476, 1789, 2929, 4846, 3690, 293, 1515, 7330, 267, 476, 273, 269, 898, 568, 2705, 849, 1271, 547, 1491, 513, 2673, 1413, 693, 519, 3761, 5832, 267, 547, 2007, 883, 519, 4128, 1946, 10060, 321, 15085, 1281, 711, 15186, 2333, 922, 7589, 538, 12876, 11780, 543, 547, 1294, 538, 875, 2484, 891, 1164, 5777, 616, 26788, 19042, 676, 519, 1164, 3790, 540, 3044, 10220, 547, 519, 1164, 2298, 4170, 563, 763, 1164, 3902, 10060, 321, 15085, 17188, 585, 922, 6995, 666, 14356, 581, 6045, 676, 519, 1249, 602, 10060, 321, 15085, 1152, 1207, 903, 575, 712, 5471, 6995, 609, 5393, 1164, 17271, 7907, 563, 4517, 519, 595, 563, 13625, 593, 536, 9820, 752, 6062, 4023, 454, 7712, 519, 1164, 3902, 568, 1152, 835, 540, 519, 2640, 540, 7589, 538, 12876, 11780, 267, 543, 607, 3254, 538, 519, 2013, 2090, 1657, 711, 1256, 519, 1034, 1271, 4324, 267, 782, 519, 1875, 15065, 8767, 2640, 540, 12876, 11780, 798, 1152, 13148, 4019, 547, 1346, 12696, 9513, 547, 10060, 321, 15085, 998, 922, 595, 269, 14755, 891, 3466, 547, 24183, 519, 12876, 11780, 6003, 972, 616, 5359, 540, 2042, 693, 519, 16073, 1377, 602, 7142, 1896, 24625, 2510, 547, 2736, 909, 741, 9467, 1894, 609, 10060, 321, 15085, 269, 1703, 616, 930, 1271, 12178, 538, 713, 2489, 7678, 2509, 17319, 13995, 602, 616, 1271, 547, 4628, 2708, 519, 2804, 1764, 12876, 11780, 814, 593, 519, 2344, 563, 4322, 616, 5631, 519, 1259, 1379, 1894, 538, 519, 2504, 1184, 1689, 543, 513, 8049, 19427, 1063, 519, 20116, 540, 12876, 11780, 543, 4207, 11407, 538, 8789, 5238, 269, 12876, 11780, 267, 865, 519, 4661, 267, 676, 5009, 519, 3051, 520, 5314, 540, 4441, 267, 16881, 519, 2907, 4540, 12402, 540, 519, 27757, 540, 519, 1533, 538, 2344, 6042, 269, 12876, 11780, 267, 1510, 703, 2056, 547, 798, 865, 267, 3976, 11689, 3278, 683, 565, 28515, 14051, 543, 7028, 519, 2417, 7771, 540, 1533, 1379, 547, 10038, 6990, 543, 547, 6615, 14226, 543, 2825, 9552, 563, 288, 2147, 4661, 666, 581, 1500, 593, 519, 1377, 540, 4207, 1646, 602, 4780, 2471, 609, 519, 11407, 540, 12876, 11780, 538, 606, 4277, 1259, 269, 1656, 519, 20116, 540, 519, 12876, 11780, 3350, 598, 13257, 547, 606, 4230, 15929, 4110, 609, 713, 11407, 540, 14469, 626, 683, 565, 28515, 1143, 269, 1548, 1058, 835, 1589, 827, 519, 1249, 602, 891, 2035, 616, 6964, 1312, 676, 5238, 689, 519, 8998, 1318, 899, 519, 2622, 9483, 17072, 543, 676, 519, 12876, 11780, 3350, 888, 1607, 19427, 540, 14469, 626, 683, 565, 28515, 11407, 543, 12876, 11780, 11407, 2337, 2491, 1946, 713, 1507, 3350, 540, 4244, 9467, 3906, 1223, 1847, 883, 519, 13416, 282, 1946, 1896, 2090, 4612, 12876, 11780, 607, 851, 540, 683, 565, 28515, 1143, 610, 1514, 16851, 282, 543, 1946, 971, 7986, 18793, 540, 1863, 4123, 607, 519, 3864, 8189, 543, 519, 717, 476, 279, 21895, 616, 14120, 519, 1967, 540, 4828, 593, 536, 9820, 752, 6062, 4023, 11780, 563, 1103, 1312, 2665, 910, 676, 1210, 4357, 24501, 543, 676, 14139, 513, 1978, 11407, 540, 2344, 16882, 910, 12876, 11780, 4780, 2471, 609, 4207, 5114, 776, 21274, 269, 2755, 713, 6157, 11438, 519, 12178, 540, 5885, 607, 606, 26516, 12343, 519, 3051, 520, 5314, 540, 2344, 6042, 543, 519, 24134, 543, 2067, 1436, 540, 683, 565, 28515, 11407, 267, 972, 568, 849, 519, 1761, 585, 1689, 563, 7468, 10675, 4441, 616, 711, 20244, 10353, 547, 1533, 6042, 543, 998, 922, 2797, 3646, 12876, 11780, 8362, 13290, 547, 25211, 585, 1689, 538, 519, 2797, 2344, 3652, 269, 634, 4901, 543, 2079, 540, 519, 7399, 585, 12876, 11780, 547, 17215, 3310, 519, 6671, 2344, 814, 7000, 3255, 607, 1134, 607, 12178, 269, 1703, 568, 1101, 11141, 1761, 585, 12876, 4828, 593, 8498, 4023, 538, 29907, 14994, 547, 1332, 883, 2688, 1557, 1603, 8468, 13416, 543, 547, 2047, 1689, 9467, 2853, 563, 3719, 891, 7399, 4096, 593, 519, 7589, 540, 2462, 13416, 14078, 602, 1152, 946, 12876, 11780, 547, 741, 5413, 1510, 4687, 922, 5048, 543, 2921, 519, 9021, 269, 901, 6770, 2059, 519, 12178, 540, 14944, 1456, 519, 5048, 540, 12876, 11780, 543, 540, 4742, 8200, 593, 891, 13416, 3549, 269, 19627, 676, 6029, 602, 3235, 10999, 543, 13998, 3743, 9467, 2853, 616, 2009, 12876, 11780, 568, 851, 540, 513, 811, 2489, 7903, 676, 6800, 602, 4547, 827, 519, 4473, 540, 4357, 4441, 543, 24501, 563, 1607, 1646, 538, 513, 2147, 1259, 10741, 909, 1007, 7399, 547, 6338, 1514, 543, 2825, 4441, 593, 513, 3376, 4493, 883, 519, 13416, 4346, 855, 693, 519, 1482, 942, 12217, 519, 8594, 540, 3478, 1524, 2914, 14414, 883, 703, 4920, 8001, 543, 796, 523, 4403, 762, 4441, 2000, 924, 602, 616, 3765, 1031, 676, 2462, 13416, 14078, 547, 1852, 543, 17908, 519, 3761, 5832, 538, 1007, 2081, 563, 293, 1515, 11780, 13995, 543, 519, 2489, 7678, 2509, 4357, 4441, 616, 711, 11371, 1231, 1227, 1434, 610, 3983, 269, 5637, 616, 1514, 5238, 602, 616, 4609, 540, 4655, 543, 1379, 1141, 16311, 532, 4690, 1205, 7858, 7007, 543, 10692, 856, 1063, 1114, 11051, 563, 31306, 7835, 4096, 910, 1851, 1082, 824, 1514, 4229, 910, 593, 519, 4720, 540, 12876, 11780, 269, 1452, 2188, 15983, 1404, 741, 851, 267, 855, 519, 24407, 1062, 540, 3486, 4123, 568, 20833, 3964, 543, 9738, 676, 2477, 609, 1360, 1114, 2157, 540, 1379, 563, 21413, 2469, 883, 1469, 713, 666, 581, 11609, 676, 3168, 693, 519, 24407, 3454, 1062, 543, 519, 10373, 5666, 540, 24307, 538, 519, 2518, 5087, 267, 799, 1312, 1118, 4123, 609, 6694, 2472, 1360, 2352, 585, 3384, 2477, 269, 4340, 519, 2136, 8315, 5274, 4886, 7797, 519, 3328, 29388, 1970, 13867, 2477, 267, 799, 616, 13143, 532, 547, 1164, 13867, 2477, 267, 3068, 616, 1614, 547, 2185, 2053, 2362, 982, 519, 7496, 4294, 538, 4123, 1063, 1164, 13867, 2477, 670, 11403, 267, 769, 519, 3864, 5742, 267, 585, 1383, 267, 29388, 4473, 689, 476, 271, 547, 476, 280, 2600, 593, 23342, 13594, 543, 547, 476, 1789, 2600, 593, 519, 3803, 1587, 267, 799, 6941, 1946, 476, 3445, 2600, 540, 524, 659, 7776, 10365, 616, 3812, 538, 3384, 2477, 1247, 1152, 476, 4510, 2600, 540, 23342, 4508, 528, 543, 476, 3066, 2600, 540, 23342, 8869, 18666, 22132, 538, 1346, 2477, 267, 1818, 5125, 519, 10600, 4102, 1163, 7163, 540, 524, 659, 7776, 2472, 670, 11403, 267, 3594, 593, 10677, 543, 4023, 946, 634, 796, 29207, 341, 2406, 1164, 2157, 540, 6694, 24307, 267, 2523, 538, 2342, 543, 519, 772, 563, 763, 2518, 3656, 5943, 585, 4123, 1175, 5809, 14226, 543, 519, 5007, 1436, 540, 1514 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1650, 543, 29947, 707, 4276, 547, 519, 3197, 269, 2142, 5423, 585, 9670, 4729, 23538, 267, 2295, 342, 9879, 8090, 267, 543, 1256, 15237, 329, 17064, 619, 2059, 519, 1259, 2439, 2690, 1383, 267, 1577, 781, 2161, 596, 1376, 2542, 834, 8505, 4379, 781, 654, 880, 2437, 513, 3209, 827, 513, 1164, 1153, 9972, 3957, 4201, 4379, 945, 9620, 547, 6430, 1200, 2104, 4566, 269, 1306, 596, 2490, 1142, 2985, 267, 596, 1831, 1266, 1484, 539, 538, 4201, 4379, 781, 3460, 267, 8049, 827, 1018, 6013, 6619, 269, 24664, 1176, 267, 972, 1522, 581, 811, 2835, 7996, 585, 596, 267, 11235, 547, 2671, 3606, 8941, 540, 4201, 4379, 781, 2833, 1282, 1200, 3803, 1032, 540, 1164, 1153, 269, 19196, 1746, 267, 1318, 2496, 18698, 2637, 637, 454, 1366, 19567, 20751, 962, 288, 3332, 267, 1896, 11964, 8597, 547, 3309, 4690, 269, 2913, 781, 1491, 513, 6251, 1413, 693, 513, 1906, 2442, 3283, 1384, 2162, 26135, 692, 293, 656, 6470, 10600, 1490, 21148, 609, 9059, 267, 26704, 7068, 267, 543, 22539, 8916, 786, 4734, 596, 11963, 20129, 269, 1280, 3236, 267, 16452, 25260, 781, 530, 19123, 787, 7122, 12857, 3988, 547, 28542, 267, 1494, 687, 267, 543, 12473, 12959, 1996, 4158, 4229, 269, 1403, 596, 2811, 27278, 676, 28531, 7919, 543, 824, 16447, 569, 7060, 267, 2285, 14810, 9089, 513, 2119, 780, 2162, 3163, 11470, 692, 16631, 5708, 3217, 596, 593, 13777, 22618, 16831, 1137, 4904, 609, 4359, 2029, 267, 2230, 3408, 267, 543, 14595, 7516, 269, 6333, 2542, 834, 763, 30803, 20048, 2873, 2437, 1141, 5929, 18912, 8941, 2743, 954, 6549, 12519, 7045, 538, 513, 29711, 1014, 4259, 269, 901, 9135, 7512, 7279, 827, 3621, 2035, 543, 5647, 780, 2162, 23620, 692, 305, 558, 766, 6212, 593, 3347, 267, 2648, 12730, 267, 543, 3929, 2208, 269, 26358, 899, 17555, 543, 519, 3943, 918, 1170, 23365, 596, 538, 13035, 4296, 543, 2220, 3019, 18976, 8090, 269, 1452, 2835, 4001, 3407, 4245, 827, 3972, 267, 6568, 267, 543, 2792, 1369, 17052, 543, 11509, 12352, 780, 2162, 25491, 1299, 28202, 14525, 692, 7069, 3122, 625, 1832, 596, 27378, 543, 2650, 1424, 1927, 13410, 7258, 15931, 3713, 1161, 610, 23153, 11739, 3578, 338, 269, 11531, 267, 26497, 619, 18041, 909, 519, 8082, 267, 6028, 596, 7362, 1652, 2394, 519, 1360, 2063, 2985, 269, 2290, 1390, 4781, 568, 834, 294, 821, 21756, 2437, 513, 17680, 6137, 9661, 540, 24457, 5473, 26760, 543, 12879, 269, 16259, 3054, 585, 6397, 4729, 23538, 543, 6316, 6361, 3917, 712, 5498, 520, 10761, 950, 5887, 1005, 883, 13655, 543, 26497, 619, 780, 2162, 12634, 11470, 692, 28757, 5708, 19141, 938, 2413, 2486, 267, 5466, 4143, 1514, 2152, 543, 4948, 2591, 5185, 676, 12322, 269, 12267, 899, 634, 670, 622, 772, 12315, 5031, 1271, 3584, 971, 607, 10168, 267, 7128, 30468, 267, 543, 17933, 269, 1635, 2542, 4207, 5708, 267, 596, 2744, 5813, 883, 1866, 262, 2729, 543, 1020, 8296, 585, 3309, 10080, 780, 31917, 7335, 2336, 1366, 15365, 3086, 602, 596, 723, 513, 1732, 1620, 540, 8479, 16989, 2835, 543, 741, 11964, 267, 979, 8521, 543, 7832, 593, 5339, 15322, 256, 5457, 267, 1169, 1433, 6585, 922, 1378, 2189, 19259, 267, 1175, 7996, 585, 2576, 2027, 910, 9358, 910, 547, 10625, 922, 11580, 543, 2887, 538, 2648, 609, 922, 3817, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8253, 547, 29057, 596, 610, 4376, 267, 855, 476, 1001, 277, 568, 811, 982, 3368, 936, 630, 1993, 1576, 267, 930, 540, 721, 616, 22205, 713, 3377, 1040, 1284, 4076, 2907, 17031, 909, 3368, 540, 519, 1032, 779, 962, 288, 2835, 267, 543, 1631, 621, 779, 942, 547, 1847, 593, 547, 519, 2835, 1818, 741, 5920, 593, 962, 288, 21684, 1063, 5147, 543, 519, 1439, 540, 5181, 269, 1548, 779, 8799, 827, 713, 4832, 13629, 1974, 568, 602, 621, 779, 14887, 267, 2495, 602, 596, 666, 6952, 909, 609, 519, 18061, 540, 10643, 596, 4076, 19017, 689, 4505, 538, 519, 1032, 563, 1607, 1592, 3884, 1406, 3102, 267, 1498, 621, 779, 519, 14191, 547, 513, 2407, 5180, 5346, 540, 13416, 962, 288, 5708, 13629, 936, 891, 1985, 1614, 3275, 269, 594, 4076, 3769, 3126, 10643, 267, 799, 616, 8612, 609, 513, 968, 265, 892, 22290, 873, 282, 1101, 2835, 538, 513, 1007, 3126, 594, 1705, 711, 1665, 267, 865, 596, 666, 581, 16990, 569, 14281, 2443, 610, 21616, 676, 519, 29384, 327, 13377, 2443, 952, 596, 4584, 835, 540, 1346, 909, 269, 1411, 2461, 10950, 563, 7476, 4712, 547, 1205, 707, 1224, 593, 563, 272, 269, 2608, 4201, 4379, 779, 654, 880, 676, 645, 7578, 774, 11448, 630, 20809, 476, 276, 2567, 18947, 1032, 568, 1934, 267, 543, 3025, 814, 513, 1544, 1765, 21955, 4201, 4379, 22484, 269, 1924, 1082, 21173, 268, 28695, 20068, 1470, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 10289, 7756, 9537, 540, 13088, 910, 8606, 2280, 12928, 1161, 692, 5331, 596, 2811, 593, 513, 10068, 7552, 609, 707, 1920, 269, 2991, 3108, 540, 16213, 3515, 543, 7996, 3461, 569, 267, 596, 6368, 6952, 513, 2462, 3165, 256, 1809, 1631, 2501, 519, 2182, 851, 910, 7738, 543, 8600, 519, 3165, 547, 3434, 585, 12129, 269, 901, 1184, 3340, 1210, 513, 1808, 1907, 1572, 513, 2083, 2280, 17180, 269, 4653, 267, 649, 786, 1451, 827, 713, 13561, 10051, 31942, 543, 1946, 2348, 835, 1223, 2097, 538, 13561, 1282, 707, 1985, 9205, 7045, 780, 1432, 568, 513, 8606, 2280, 12928, 1057, 888, 2411, 19567, 5970, 596, 2479, 2938, 513, 27697, 20105, 998, 6151, 9269, 610, 3165, 24672, 286, 1358, 1522, 581, 1210, 513, 2083, 2280, 17180, 256, 1452, 7463, 19059, 4183, 6094, 267, 8465, 267, 543, 1279, 19059, 2966, 547, 1350, 728, 12347, 2059, 14258, 1247, 5969, 269, 9521, 2834, 31009, 267, 2083, 2280, 31009, 948, 5094, 5779, 689, 7633, 811, 7561, 1813, 547, 741, 2189, 3337, 543, 1374, 780, 3963, 7994, 513, 8606, 2280, 12928, 1057, 888, 10900, 7042, 3086, 596, 949, 4898, 267, 834, 4692, 1405, 594, 1175, 946, 1022, 2025, 17180, 8119, 3353, 1227, 267, 9811, 269, 1717, 267, 2083, 2280, 31009, 2709, 1896, 5383, 602, 824, 2010, 1810, 1405, 1683, 269, 4256, 8112, 2636, 873, 547, 1246, 32725, 3362, 267, 1818, 5730, 11912, 1472, 7633, 2009, 269, 3958, 267, 2094, 789, 4043, 547, 581, 5857, 704, 982, 3044, 10051, 31009, 267, 596, 666, 1711, 23704, 21100, 609, 8766, 3196, 2838, 269, 1306, 513, 1267, 267, 1447, 4887, 1379, 4422, 883, 519, 4305, 693, 1688, 267, 6028, 596, 4743, 23906, 615, 1310, 11264, 519, 2816, 780, 763, 11957, 540, 7435, 548, 7822, 454, 10900, 19567, 2026, 5018, 4505, 267, 2083, 2280, 31009, 1419, 723, 6505, 20362, 865, 3755, 666, 3533, 12398, 873, 269, 5994, 3843, 547, 3314, 1141, 596, 2451, 707, 20585, 12457, 17180, 1851, 25985, 540, 22742, 3937, 269, 16319, 4101, 267, 1318, 286, 2334, 781, 1946, 1082, 9755, 1904, 585, 7524, 4778, 899, 10538, 610, 5835, 269, 3502, 1152, 1281, 621, 2061, 3765, 10293, 267, 855, 621, 849, 6971, 17140, 10478, 585, 4503, 2645, 269, 9578, 267, 945, 9327, 1405, 2648, 513, 1402, 540, 2681, 9624, 782, 1346, 9243, 18707, 1336, 538, 2470, 2496, 28885, 8606, 2280, 12928, 1161, 20553, 2659, 5020, 454, 14343, 13430, 4407, 3318, 22730, 5097, 8415, 2083, 2280, 31009, 16280, 267, 26539, 835, 607, 513, 4342, 704, 610, 13278, 2006, 814, 922, 829, 802, 1932, 269, 2060, 1697, 1416, 543, 5826, 267, 707, 3972, 344, 2083, 2280, 17180, 666, 4196, 596, 1134, 1312, 693, 1753, 543, 13964, 269, 1924, 2436, 596, 2811, 8937, 1154, 4195, 29607, 9575, 676, 519, 5757, 610, 840, 6137, 13687, 2848, 6545, 1394, 1753, 267, 1964, 21407, 6616, 707, 11684, 13959, 786, 1205, 519, 2816, 2944, 24847, 543, 9108, 780, 12244, 5384, 2336, 1366, 15365, 4131, 781, 2119, 5373, 938, 4528, 540, 513, 2083, 2280, 17180, 1759, 593, 2221, 781, 6609, 269, 5457, 547, 1039, 3877, 971, 607, 519, 3259, 540, 519, 16405, 267, 922, 22441, 267, 543, 1034, 11932, 267, 519, 29116, 11954, 6023, 256, 4495, 6192, 267, 2671, 707, 13144, 609, 15032, 543, 1865, 1018, 2306, 2083, 2280, 31009, 2189, 3379, 547, 2757, 10051, 27022, 269, 8414, 11516, 4221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 2716, 2225, 267, 8325, 1145, 267, 3501, 3666, 267, 543, 1500, 538, 519, 772, 2529, 6993, 563, 306, 675, 1922, 790, 6023, 17945, 267, 10538, 538, 2681, 281, 898, 779, 2653, 547, 1265, 2336, 288, 10715, 10018, 8992, 875, 1434, 621, 568, 1354, 6718, 563, 3528, 1280, 6135, 17384, 454, 288, 1007, 29560, 538, 1250, 10591, 4055, 1131, 9090, 5469, 602, 594, 899, 547, 2445, 31009, 269, 3962, 568, 3946, 727, 267, 543, 789, 666, 782, 2759, 3694, 267, 855, 789, 1142, 723, 513, 3483, 269, 2368, 540, 873, 616, 6378, 15918, 1228, 267, 930, 616, 24208, 31009, 267, 543, 972, 616, 20614, 31009, 563, 6546, 779, 1141, 1250, 1007, 2083, 2280, 17180, 1305, 689, 519, 12928, 1161, 540, 14522, 3357, 538, 2063, 3018, 269, 2755, 972, 616, 31009, 782, 936, 519, 4055, 267, 519, 12928, 1161, 540, 14522, 1305, 6763, 856, 585, 1434, 2601, 281, 891, 31009, 723, 513, 25433, 11399, 1052, 6023, 269, 1411, 666, 1406, 946, 1018, 596, 666, 1406, 1265, 267, 543, 621, 4667, 899, 950, 594, 723, 17705, 3165, 547, 2973, 267, 6266, 540, 873, 267, 594, 666, 2760, 1265, 1250, 2083, 2280, 17180, 269, 9046, 12193, 256, 1656, 519, 2681, 3364, 849, 8952, 621, 856, 540, 1250, 1124, 330, 2721, 518, 630, 3240, 1732, 3368, 4025, 1919, 609, 10278, 7164, 538, 1250, 1124, 330, 2721, 518, 1916, 6781, 913, 602, 267, 891, 31009, 616, 711, 8723, 269, 589, 1434, 6445, 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, 4985, 1384, 763, 1158, 540, 3381, 18297, 543, 8613, 31076, 814, 4810, 1713, 7760, 538, 2487, 1296, 267, 9141, 676, 519, 2810, 3747, 585, 1164, 7779, 3308, 2833, 269, 2290, 971, 1646, 568, 519, 11944, 540, 8299, 571, 4400, 9502, 27657, 630, 308, 8461, 29552, 1070, 6353, 676, 4824, 6571, 267, 7406, 2557, 267, 2681, 13708, 583, 267, 543, 4334, 5223, 3379, 547, 922, 21530, 25600, 899, 9208, 9502, 7641, 630, 16256, 29552, 264, 543, 4400, 9502, 7641, 630, 8461, 29552, 1040, 1717, 267, 713, 10006, 538, 3381, 535, 23474, 849, 12857, 1007, 2930, 23665, 602, 1590, 581, 9619, 547, 2327, 15774, 5610, 609, 4540, 1949, 1247, 5883, 519, 32117, 1239, 12531, 2404, 609, 891, 12043, 269, 589, 1883, 5647, 6322, 693, 21365, 891, 2152, 568, 519, 570, 1005, 8943, 322, 267, 606, 1930, 21299, 3070, 1759, 593, 519, 5767, 4400, 21252, 11473, 32017, 630, 4047, 31357, 264, 3044, 269, 769, 713, 3184, 267, 649, 5490, 883, 519, 14960, 540, 26084, 772, 8461, 29552, 2533, 9001, 519, 570, 1005, 8943, 322, 267, 3695, 922, 5817, 3741, 267, 2640, 267, 543, 3156, 1369, 1344, 14839, 8658, 780, 8139, 772, 8461, 29552, 543, 4706, 12694, 1384, 19575, 571, 4400, 9502, 27657, 4564, 519, 5969, 6316, 540, 24384, 990, 529, 783, 4159, 4066, 267, 5356, 2185, 2053, 519, 6571, 540, 2757, 476, 10482, 271, 335, 18074, 29552, 5036, 269, 898, 13315, 2789, 3344, 1519, 1384, 272, 269, 14451, 32085, 22375, 281, 2060, 513, 5934, 8880, 543, 7299, 6571, 540, 476, 29575, 271, 1535, 476, 21327, 271, 19641, 267, 772, 8461, 29552, 2488, 5857 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 23538, 543, 7140, 269, 1924, 535, 612, 909, 267, 2156, 256, 15681, 721, 827, 1346, 27894, 2059, 519, 1259, 543, 875, 1312, 540, 596, 7307, 547, 6330, 998, 873, 1510, 9561, 707, 8186, 563, 1892, 1548, 616, 930, 540, 519, 3838, 4690, 610, 12348, 602, 596, 679, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27288, 15227, 24601, 717, 821, 654, 3994, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 27834, 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, 2026, 2576, 1007, 547, 938, 4541, 267, 649, 1174, 602, 3388, 1522, 3100, 14542, 693, 1101, 269, 5213, 1405, 5855, 282, 649, 3513, 3391, 596, 998, 1169, 1900, 609, 9639, 543, 9355, 780, 1262, 3721, 476, 272, 281, 4197, 1548, 11833, 31919, 1772, 4373, 5141, 889, 31919, 729, 513, 2442, 2228, 3014, 1141, 5716, 2813, 741, 1378, 533, 21315, 3197, 543, 8268, 513, 5691, 1158, 4904, 609, 3756, 267, 2828, 267, 543, 9035, 269, 5994, 513, 9589, 1747, 1141, 596, 666, 2743, 1007, 1004, 267, 1404, 1187, 2238, 1927, 267, 543, 2445, 3579, 3688, 585, 707, 1915, 2439, 24874, 11833, 31919, 4016, 4481, 547, 519, 3312, 4528, 540, 519, 3014, 267, 799, 1082, 11655, 4413, 632, 8765, 269, 3776, 5692, 568, 547, 18609, 519, 15888, 547, 2847, 633, 621, 610, 1711, 1945, 2147, 780, 1262, 3721, 476, 273, 281, 15775, 19361, 609, 5274, 9442, 4373, 2414, 7119, 538, 713, 20089, 267, 596, 3513, 991, 547, 1451, 930, 9238, 827, 1480, 5872, 269, 18972, 5968, 5097, 1210, 9275, 1893, 630, 339, 22736, 264, 543, 2854, 1913, 630, 1399, 4771, 1040, 1411, 1522, 1294, 3425, 17511, 2476, 593, 1507, 25965, 1572, 16389, 610, 9361, 538, 4395, 540, 3677, 6191, 1572, 5904, 780, 2690, 1631, 267, 1577, 781, 1445, 593, 1620, 2241, 2453, 1384, 265, 834, 15916, 10590, 910, 589, 7874, 28551, 563, 265, 834, 14188, 596, 257, 910, 5890, 7675, 14696, 563, 265, 834, 8119, 910, 1306, 6362, 513, 2243, 780, 20797, 891, 2453, 676, 6031, 873, 856, 10978, 610, 1603, 873, 1524, 269, 898, 781, 1898, 547, 581, 6899, 14379, 609, 1866, 547, 3035, 938, 3804, 780, 1262, 3721, 476, 274, 281, 7457, 532, 519, 5769, 4373, 763, 4950, 568, 899, 513, 5318, 267, 15865, 5399, 5627, 11995, 1344, 269, 1677, 1569, 621, 267, 596, 3513, 991, 835, 540, 1346, 14328, 3457, 5018, 4505, 1107, 513, 16335, 610, 2780, 780, 8340, 513, 2922, 267, 9602, 5544, 547, 1694, 20354, 267, 1287, 1246, 891, 3268, 1384, 320, 269, 700, 11229, 513, 3926, 281, 6733, 1472, 585, 513, 6049, 610, 2780, 269, 1403, 596, 1810, 1405, 1265, 835, 7404, 267, 2307, 513, 1480, 952, 789, 666, 22937, 596, 741, 338, 610, 1491, 596, 547, 513, 1857, 1858, 609, 2139, 3457, 780, 321, 269, 12414, 621, 593, 281, 4964, 519, 1379, 7735, 630, 17141, 4092, 593, 1283, 610, 2427, 264, 2394, 519, 5496, 8279, 909, 780, 322, 269, 4045, 547, 15261, 19712, 281, 4855, 519, 15261, 19712, 3090, 20465, 593, 519, 3926, 543, 7148, 270, 28781, 593, 621, 269, 8564, 513, 3060, 689, 519, 1592, 630, 2532, 513, 1480, 585, 6351, 952, 2877, 6393, 323, 269, 7046, 513, 1357, 11422, 281, 24135, 270, 28781, 593, 606, 12835, 23401, 513, 6885, 610, 22315, 630, 324, 3052, 1421, 5616, 24904, 267, 20787, 8759, 32288, 2135, 1040, 901, 786, 1450, 596, 547, 2263, 7270, 780, 1262, 3721, 476, 275, 281, 15012, 6732, 18877, 4373, 3086, 602, 596, 4312, 15600, 519, 4950, 267, 621, 781, 942, 547, 1921, 609, 824, 11655, 945, 2671, 707, 6612, 585, 8744, 1394, 6196, 11833, 31919, 269, 1284, 3513, 946, 1514, 2923, 5867, 267, 2027, 4025, 593, 519, 4950, 1141, 3425, 5531, 547, 1865, 1455, 4690, 780, 8620, 6589, 593, 519, 1739, 4609, 1384, 320, 269, 12108, 912, 453, 266, 3619, 547, 1000, 7867, 2593, 543, 4945, 14121, 777, 834, 14294, 5455, 4799, 453, 266, 7994, 513, 27024, 630, 20365, 2189, 2012, 1070, 10957, 267, 543, 4757, 2232, 563, 453, 266, 19130, 856, 519, 2838, 1344, 267, 1519, 707, 14512, 630, 21065, 753, 8661, 4332, 17058, 607, 513, 24182, 1916, 453, 266, 8437, 14121, 777, 834, 8620, 10055, 3010, 321, 269, 9365, 912, 453, 266, 16731, 3068, 1504, 2593, 543, 4945, 14121, 777, 834, 8620, 1715, 10055, 4799, 453, 266, 9373, 707, 2012, 267, 4757, 2232, 267, 10957, 267, 543, 14512, 563, 453, 266, 5410, 513, 9043, 4605, 630, 534, 3239, 8204, 3054, 5148, 596, 666, 14202, 835, 689, 519, 3926, 610, 1491, 513, 8666, 780, 322, 269, 23749, 912, 453, 266, 10361, 547, 14703, 2593, 543, 4945, 14121, 777, 834, 14294, 5455, 4799, 453, 266, 7994, 513, 27024, 267, 10957, 267, 543, 4757, 2232, 563, 453, 266, 7638, 1518, 707, 2272, 3842, 4757, 630, 13765, 707, 28600, 585, 513, 5048, 689, 23749, 6393, 1262, 3721, 476, 276, 281, 9523, 2659, 32425, 543, 4045, 609, 11524, 4373, 18794, 2516, 6131, 547, 2847, 1516, 6196, 11833, 31919, 1384, 320, 269, 2201, 12108, 912, 453, 266, 9612, 585, 814, 6255, 4711, 1948, 289, 2590, 12988, 9573, 610, 1948, 24874, 9573, 20288, 591, 563, 453, 266, 7427, 3755, 7234, 11833, 31919, 25954, 630, 28781, 14121, 777, 519, 834, 10287, 257, 7735, 1985, 547, 741, 4408, 1916, 453, 266, 570, 11548, 6835, 11589, 707, 15131, 585, 6196, 8713, 630, 6943, 1018, 596, 1616, 547, 2161, 267, 1039, 4143, 814, 6255, 4711, 267, 543, 5734, 6494, 6393, 321, 269, 2201, 9365, 912, 453, 266, 9612, 585, 2516, 1644, 547, 11833, 31919, 19911, 28101, 630, 2224, 17161, 899, 834, 24874, 11833, 31919, 4860, 2526, 257, 1916, 453, 266, 32369, 547, 6443, 519, 1895, 4433, 264, 602, 13469, 609, 596, 563, 453, 266, 12160, 622, 538, 5717, 267, 4687, 707, 4555, 543, 8823, 827, 6196, 8713, 780, 322, 269, 2201, 23749, 912, 453, 266, 4427, 18285, 547, 678, 270, 12218, 545, 5141, 889, 303, 21315, 543, 678, 23860, 671, 9573, 20288, 591, 630, 28781, 14121, 777, 519, 834, 29771, 257, 7735, 1916, 453, 266, 18918, 538, 7391, 1369, 891, 2950, 267, 20171, 8292, 543, 4687, 2984, 827, 1946, 596, 2648, 6196, 11833, 31919, 780, 1262, 3721, 476, 277, 281, 24619, 17607, 4373, 11742, 547, 3262, 519, 2262, 3564, 2228, 2950, 2439, 320, 269, 15681, 14886, 543, 7731, 912, 18704, 707, 10761, 609, 519, 3425, 1472, 596, 269, 11512, 875, 1454, 6196, 11833, 31919, 1797, 547, 596, 543, 1946, 922, 2132, 1131, 1118, 865, 1082, 1004, 6126, 780, 321, 269, 8073, 10439, 12474, 912, 17637, 19297, 267, 8038, 619, 267, 610, 3059, 2592, 15386, 707, 5172, 6196, 8713, 8090, 610, 13144, 269, 18224, 873, 538, 2199, 2127, 630, 5976, 10479, 264, 610, 2671, 2228, 780, 322, 269, 5029, 1125, 20821, 5725, 912, 6635, 9792, 19771, 609, 8284, 12439, 538, 1268, 610, 12303, 269, 9181, 2994, 267, 2671, 2093, 267, 543, 1628, 11610, 2509, 8236, 938, 3804, 780, 1262, 6962, 4373, 23558, 267, 3659, 256, 1635, 11264, 891, 3268, 267, 596, 4312, 3144, 1713, 26058, 4724, 4543, 3142, 1394, 6196, 11833, 31919, 269, 5457, 547, 3251, 3742, 267, 4497, 609, 1866, 267, 543, 1832, 10825, 4656, 269, 8625, 267, 649, 666, 1118, 513, 3017, 543, 882, 633, 519, 9059, 540, 713, 19644, 2228, 2146, 780, 2026, 596, 3136, 593, 713, 3460, 267, 3314, 547, 2141, 2259, 11587, 267, 2463, 267, 543, 6568, 950, 15025, 609, 3425, 2228, 543, 22356, 269, 6153, 9939, 267, 543, 9684, 596, 585, 11836, 4229, 547, 2847, 633, 6196, 11833, 31919, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 20055, 20780, 7982, 6196, 11833, 31919, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 1103, 713, 1770, 267, 649, 786, 2263, 513, 4241, 1888, 538, 519, 7706, 540, 12985, 2257, 281, 7023, 8638, 543, 741, 3156, 269, 27199, 4011, 8638, 616, 513, 3532, 1907, 1031, 538, 1585, 3621, 4610, 267, 1519, 6323, 267, 7998, 267, 543, 2326, 2257, 267, 547, 7561, 2697, 543, 4383, 4205, 1063, 5536, 538, 513, 1062, 780, 6524, 649, 4685, 883, 519, 3009, 267, 1577, 781, 1101, 1174, 519, 1523, 540, 513, 7023, 1592, 269, 5994, 596, 723, 513, 4216, 4904, 609, 5536, 267, 543, 596, 1616, 547, 1353, 875, 891, 5536, 2170, 609, 1142, 824, 269, 2290, 1259, 547, 798, 713, 568, 547, 5173, 519, 3845, 1063, 1169, 6292, 540, 5536, 543, 3313, 952, 789, 616, 2673, 2614, 547, 581, 2808, 834, 31371, 26092, 1701, 1717, 267, 713, 1505, 666, 581, 1939, 14260, 7199, 267, 2523, 950, 7231, 609, 513, 1804, 1297, 540, 5536, 780, 1607, 568, 1141, 7023, 8638, 2097, 538, 269, 589, 7023, 1592, 568, 513, 1239, 2497, 602, 8952, 3950, 540, 519, 12543, 540, 1142, 9325, 267, 3850, 721, 547, 3533, 2697, 543, 9337, 4205, 1063, 5536, 269, 901, 1935, 3648, 6971, 519, 12985, 1942, 540, 1138, 6819, 9325, 4205, 267, 1818, 621, 2009, 547, 1353, 1950, 1949, 609, 6634, 540, 5536, 780, 3086, 267, 1577, 781, 1491, 513, 1413, 693, 519, 3009, 269, 634, 1101, 1599, 649, 7237, 568, 2387, 1326, 318, 4248, 318, 7901, 318, 31371, 4011, 6958, 333, 18269, 901, 1599, 3217, 1079, 7440, 281, 2387, 7901, 15481, 319, 543, 2387, 12827, 4752, 18269, 2387, 7901, 15481, 319, 568, 513, 24042, 8204, 519, 2450, 540, 519, 4216, 5627, 519, 5536, 267, 1247, 2387, 12827, 4752, 319, 568, 513, 3845, 12939, 1031, 547, 3313, 952, 1079, 5536, 616, 2808, 12543, 780, 3499, 7090, 454, 3698, 1205, 318, 4248, 318, 7901, 318, 31371, 4011, 6958, 333, 6357, 2135, 15481, 267, 2759, 4752, 2187, 825, 12761, 6958, 333, 267, 9041, 815, 2230, 269, 704, 1675, 545, 6357, 2135, 15481, 994, 825, 7023, 8217, 6958, 333, 815, 15652, 269, 31371, 4011, 8217, 263, 4134, 10293, 6958, 333, 2676, 14030, 3546, 4216, 15481, 2676, 14030, 3546, 2759, 4752, 2676, 14030, 3546, 1743, 318, 628, 11611, 284, 12827, 4752, 270, 276, 1421, 454, 14030, 3546, 4390, 8548, 738, 328, 680, 1512, 284, 272, 269, 271, 454, 14030, 25639, 12467, 825, 2132, 7023, 8217, 6958, 333, 454, 7884, 763, 1599, 2387, 1326, 318, 4248, 318, 7901, 318, 31371, 4011, 6958, 333, 319, 7024, 1776, 1599, 267, 2387, 31371, 4011, 8217, 6958, 333, 12452, 799, 568, 1031, 547, 5352, 519, 7023, 1592, 585, 513, 2016, 1305, 540, 5536, 269, 901, 1599, 3096, 1079, 25961, 3252, 281, 2387, 11898, 269, 704, 1675, 545, 319, 543, 2387, 4820, 819, 269, 31371, 4011, 8217, 27471, 763, 2387, 11898, 269, 704, 1675, 545, 319, 1599, 568, 1031, 547, 6023, 13350, 10465, 2175, 267, 799, 616, 1419, 1031, 538, 13502, 547, 17932, 519, 2623, 540, 606, 12808, 1062, 269, 901, 1599, 7024, 513, 2387, 4134, 10293, 6958, 333, 319, 602, 666, 581, 1031, 547, 5173, 519, 3845, 1063, 5536, 538, 513, 13350, 4216, 780, 763, 2387, 4820, 819, 269, 31371, 4011, 8217, 319, 1599, 568, 1141, 519, 7023, 1592, 568, 2965, 6383, 269, 898, 3217, 1896, 7440, 267, 1519, 519, 2387, 4134, 10293, 6958, 333, 12452, 2387, 7901, 15481, 12452, 543, 2387, 12827, 4752, 12452, 543, 7024, 513, 1599, 602, 666, 581, 1031, 547, 5352, 519, 7023, 1592, 585, 513, 2016, 1305, 540, 5536, 780, 3086, 602, 649, 723, 513, 2596, 1620, 540, 7023, 8638, 543, 875, 789, 616, 6383, 267, 1577, 781, 1847, 593, 547, 519, 1985, 1599, 281, 2387, 333, 1962, 331, 560, 15461, 318, 8354, 27471, 3499, 7090, 454, 3698, 562, 1962, 331, 560, 15461, 318, 8354, 4433, 10628, 267, 2759, 4752, 2187, 825, 1219, 562, 1962, 331, 560, 15461, 318, 8354, 6958, 333, 263, 22487, 16182, 343, 267, 4423, 16182, 343, 267, 562, 1962, 331, 560, 2187, 1038, 546, 305, 815, 2230, 6155, 29924, 263, 22487, 16182, 343, 267, 4423, 16182, 343, 994, 1038, 9041, 273, 815, 2230, 4732, 13645, 5091 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2079, 3594, 616, 865, 1454, 2442, 267, 2523, 538, 12621, 543, 9945, 606, 1011, 1709, 1557, 568, 5497, 547, 5659, 513, 6648, 2073, 513, 2110, 1650, 547, 11200, 922, 3020, 630, 6456, 264, 2495, 2073, 519, 2278, 685, 521, 8404, 2073, 513, 3209, 267, 513, 1404, 267, 568, 2356, 8655, 547, 15938, 10927, 6780, 585, 476, 275, 628, 3446, 1053, 269, 562, 4673, 16279, 11876, 1156, 5408, 2488, 875, 547, 5659, 513, 1650, 538, 606, 1557, 606, 5140, 1383, 540, 875, 547, 20272, 513, 4062, 540, 1148, 630, 527, 568, 1271, 547, 4063, 602, 713, 3381, 568, 606, 1383, 540, 2048, 845, 531, 2079, 685, 543, 3085, 1406, 1331, 13865, 2079, 267, 799, 568, 849, 2838, 676, 16643, 11556, 1557, 25644, 1082, 1164, 1153, 1148, 6514, 12545, 267, 538, 1840, 547, 8579, 1382, 1957, 519, 6101, 2079, 11609, 1934, 2567, 269, 1775, 729, 28280, 950, 1775, 4607, 1250, 1101, 7084, 1557, 689, 23686, 628, 607, 621, 729, 30664, 764, 762, 5888, 1603, 3584, 543, 11207, 909, 547, 1250, 20772, 538, 713, 3992, 267, 649, 786, 1451, 1018, 513, 4259, 568, 267, 1946, 621, 568, 1271, 875, 547, 5659, 513, 1650, 538, 606, 1557, 543, 875, 547, 5659, 513, 1650, 538, 606, 1557, 875, 547, 5659, 621, 269, 7421, 11052, 538, 18340, 267, 971, 607, 513, 2110, 875, 547, 5659, 513, 1650, 538, 606, 1557, 1650, 610, 3209, 267, 568, 1126, 3249, 1870, 1544, 2147, 547, 476, 2004, 3594, 1433, 7421, 11052, 538, 6965, 267, 855, 596, 2461, 2324, 609, 2347, 5220, 267, 9433, 267, 543, 2592, 3710, 883, 513, 3677, 9165, 540, 513, 1650, 950, 9916, 998, 519, 1585, 14485, 540, 519, 15594, 5133, 267, 4481, 1346, 602, 1533, 875, 547, 5659, 513, 1650, 538, 606, 1557, 602, 1568, 540, 1148, 2813, 676, 2021, 2588, 2228, 6780, 1419, 723, 1114, 5380, 267, 543, 602, 1568, 30363, 676, 2367, 4749, 12927, 30013, 875, 547, 5659, 513, 1650, 538, 606, 1557, 5784, 540, 2021, 267, 519, 1292, 6249, 1557, 1603, 4245, 540, 519, 1650, 3587, 2312, 281, 621, 568, 1898, 547, 1174, 602, 538, 707, 2079, 1557, 267, 596, 3580, 991, 547, 2263, 519, 2942, 5011, 540, 519, 3390, 543, 519, 2318, 3283, 269, 0, 31142, 657, 645, 732, 569, 3115, 18677, 2201, 5082, 539, 645, 3672, 454, 10907, 1484, 519, 19566, 267, 5824, 657, 1118, 909, 5176, 476, 1321, 2600, 540, 519, 2551, 269, 8616, 938, 1382, 9193, 1152, 1079, 2600, 540, 519, 3148, 779, 11221, 8387, 616, 17104, 269, 898, 779, 513, 29373, 602, 17037, 899, 8277, 10548, 790, 345, 538, 962, 752, 9874, 6019, 1616, 547, 1689, 563, 28490, 2576, 666, 8917, 543, 3085, 1406, 267, 1134, 267, 602, 3085, 1406, 798, 1022, 1434, 2437, 646, 3081, 269, 834, 2791, 2461, 3850, 1866, 547, 8917, 538, 707, 1747, 267, 547, 1118, 1114, 4031, 982, 596, 1522, 899, 3034, 1607, 3018, 267, 649, 2811, 3168, 693, 1946, 519, 3148, 781, 4102, 12102, 1895, 814, 865, 2370, 804, 719, 538, 519, 2797, 26750, 269, 3776, 1382, 9060, 602, 519, 1297, 540, 21337, 11221, 8387, 538, 519, 19566, 568, 2523, 1970, 3379, 547, 519, 3395, 17104, 2551, 538, 782, 1614, 2829, 269, 1284, 2253, 676, 3168, 693, 930, 540, 519, 4128, 585, 602, 7934, 269, 0, 32546, 3858, 972, 568, 513, 2312, 3095, 1063, 2348, 3987, 543, 3384, 10733, 2068, 267, 855, 519, 2078, 1063, 891, 2175, 568, 1360, 1950, 269, 1548, 779, 811, 267, 4966, 3494, 10733, 2068, 666, 1118, 707, 3987, 8338, 563, 30048, 3322, 519, 1560, 779, 2702, 547, 1184, 1973, 4006, 269, 1879, 3987, 568, 29252, 1932, 1454, 4006, 666, 2333, 519, 1981, 540, 10733, 2068, 269, 10251, 267, 10733, 2068, 666, 849, 9594, 811, 7280, 2504, 998, 519, 1560, 779, 2566, 3210, 282, 799, 2306, 519, 3987, 8338, 563, 1700, 6423, 707, 11290, 5781, 952, 596, 723, 3987, 267, 865, 789, 666, 6895, 707, 4522, 543, 14779, 811, 5402, 563, 1700, 2659, 11290, 949, 2303, 811, 7928, 11564, 610, 3318, 4522, 7738, 547, 1832, 707, 14779, 2635, 563, 1700, 8347, 547, 1832, 707, 3987, 896, 1852, 543, 3314, 547, 11453, 543, 19568, 5781, 563, 2005, 779, 2731, 1271, 547, 723, 2834, 2638, 13522, 609, 513, 11290, 952, 596, 723, 3987, 269, 717, 636, 2068, 568, 513, 31181, 2783, 952, 5701, 269, 1403, 2451, 15860, 267, 10733, 2068, 666, 2014, 4049, 6553, 543, 11702, 540, 519, 14779, 269, 898, 666, 1256, 2014, 5694, 2530, 563, 28490, 596, 723, 3987, 267, 621, 779, 1898, 547, 1491, 1416, 540, 3054, 543, 4309, 2126, 607, 2556, 547, 948, 2149, 707, 1560, 543, 707, 12837, 3034, 17359, 2376, 1934, 281, 0, 10817, 652, 2070, 281, 1306, 649, 960, 547, 1711, 513, 2582, 267, 8087, 3013, 267, 3314, 9410, 13162, 3751, 454, 763, 1032, 568, 476, 1708, 272, 543, 649, 616, 1869, 2713, 538, 1079, 1114, 17113, 563, 2467, 568, 519, 3013, 602, 18441, 2661, 538, 543, 1776, 3013, 602, 3043, 1004, 2661, 538, 269, 3509, 616, 26997, 547, 16153, 602, 267, 4352, 519, 1913, 968, 718, 2367, 616, 2813, 3160, 892, 616, 538, 938, 16672, 540, 14412, 267, 602, 713, 568, 711, 519, 4641, 585, 519, 12102, 2146, 563, 763, 4860, 269, 9410, 13162, 3751, 12789, 269, 10692, 2394, 1010, 2063, 7362, 547, 3262, 25273, 267, 7862, 267, 32593, 775, 543, 4126, 269, 1809, 1256, 1631, 267, 5756, 2663, 267, 649, 723, 1500, 1360, 2370, 3356, 563, 4462, 3286, 1881, 6146, 902, 540, 1004, 540, 2681, 693, 519, 3946, 540, 7128, 723, 20406, 7018, 267, 1032, 1310, 1032, 269, 11531, 267, 519, 4563, 22032, 17460, 3350, 814, 6738, 269, 1452, 1079, 5011, 540, 3013, 3100, 1305, 1996, 835, 1776, 563, 3080, 2427, 3458, 4461, 267, 834, 25187, 543, 1931, 10590, 1247, 519, 824, 3458, 4461, 267, 834, 13420, 1275, 30882, 763, 4832, 540, 476, 1708, 271, 4957, 1250, 1272, 269, 3733, 4064, 8118, 543, 594, 5433, 519, 20882, 547, 1118, 513, 1689, 269, 594, 2813, 661, 4471, 26321, 267, 606, 3919, 602, 3533, 16668, 519, 3007, 540, 938, 2146, 563, 2171, 723, 1185, 11401, 609, 519, 25650, 267, 4975, 7027, 543, 519, 8783, 540, 519, 661, 4471, 13163, 540, 17318, 269, 1284, 5433, 649, 941, 1818, 26058, 269, 12846, 267, 938, 7887, 1764, 3357, 711, 676, 6340, 609, 519, 2146, 781, 3401, 267, 855, 676, 6340, 609, 2146, 2818, 2933, 269, 1284, 616, 6679, 607, 1082, 4064, 607, 2009, 563, 763, 4563, 22032, 17460, 3350, 814, 1044, 3954, 6407, 607, 513, 10795, 267, 24180, 3919, 269, 681, 328, 1824, 2429, 519, 4832, 267, 538, 799, 7128, 6472, 941, 14616, 543, 4213, 941, 561, 2393, 539, 267, 13556, 519, 3350, 2443, 538, 4641, 267, 513, 3350, 585, 7862, 2443, 607, 9409, 267, 26688, 543, 5906, 563, 21914, 840, 3737, 4708, 543, 10103, 269, 12846, 267, 585, 930, 2818, 540, 519, 19154, 300, 3350, 267, 2614, 729, 2614, 543, 4664, 3459, 838, 3739, 856, 269, 1924, 1082, 1294, 519, 21440, 543, 16526, 538, 519, 22457, 2486, 538, 799, 649, 2661, 269, 17318, 538, 2407, 678, 3999, 10591, 9250, 15237, 3154, 543, 8929, 693, 3087, 2209, 269, 17318, 18486, 267, 1033, 7134, 267, 10692, 609, 543, 3458, 3139, 693, 3087, 2209, 8165, 21440, 563, 5278, 3377, 5121, 13556, 891, 23405, 607, 6285, 593, 3013, 1317, 519, 2043, 543, 6803, 2516, 2443, 945, 1185, 1044, 4371, 1524, 585, 2484, 1932, 1279, 676, 713, 2197, 543, 922, 3043, 1977, 2551, 2443, 1185, 2614, 543, 941, 8348, 547, 4339, 543, 5884, 585, 1689, 543, 547, 1118, 741, 9739, 4862, 563, 12179, 7681, 609, 4376, 824, 982, 2347, 14017, 547, 7128, 543, 3013, 729, 2938, 607, 3592, 9810, 2065, 563, 763, 2487, 678, 3999, 693, 519, 772, 2529, 269, 7167, 20738, 814, 9663, 1492, 1042, 519, 7941, 1063, 519, 1079, 17113, 269, 589, 11786, 7022, 2443, 593, 1010, 1259, 856, 540, 5604, 1310, 646, 4503, 513, 4023, 543, 5150, 9550, 2443, 814, 10138, 909, 1010, 18793, 936, 519, 1576, 540, 1010, 2165, 269, 3509, 540, 891, 18793, 2443, 5176, 782, 540, 7247, 616, 3043, 2443, 8604, 8572, 547, 4308, 609, 18496, 11686, 781, 2530, 269, 2201, 3967, 269, 476, 277, 267, 513, 1804, 1895, 540, 891, 1004, 2443, 24016, 593, 676, 1514, 2923, 16060, 2443, 4780, 3022, 593, 6115, 267, 667, 5861, 269, 585, 513, 28487, 543, 16091, 938, 7167, 20738, 267, 7088, 532, 2250, 7128, 269, 12866, 1004, 5747, 267, 1519, 513, 7128, 11464, 563, 763, 2592, 540, 519, 4323, 4951, 513, 7128, 3210, 547, 891, 6469, 9810, 1235, 602, 729, 865, 1114, 689, 519, 6114, 649, 4718, 950, 18441, 7152, 1282, 19154, 300, 22415, 1127, 2282, 519, 7167, 20738, 2063, 4832, 563, 1103, 1082, 2665, 267, 891, 6140, 3043, 4892, 941, 2111, 547, 3802, 1318, 2250, 7128, 1510, 6849, 5208, 610, 2669, 269, 2290, 11464, 15054, 585, 5961, 609, 3087, 2209, 563, 20360, 3298, 941, 7745, 269, 26671, 941, 21687, 269, 16840, 540, 519, 14130, 543, 5600, 540, 24929, 941, 17355, 18050, 607, 891, 6469, 9810, 1235, 8149, 1726, 1783, 269, 1677, 930, 267, 713, 729, 606, 13986, 19420, 563, 32381, 267, 519, 3210, 7128, 4951, 891, 3087, 2209, 729, 513, 3802, 538, 519, 6288, 3379, 547, 519, 3210, 3254, 4724, 19154, 300, 3087, 2209, 610, 538, 1164, 9043, 2665, 540, 21440, 2443, 23111, 597, 19676, 267, 476, 1321, 267, 7784, 2740, 1524, 1247, 4730, 609, 513, 11442, 7784, 282, 6601, 30358, 13177, 7166, 538, 1200, 1753, 282, 6723, 4469, 20477, 267, 669, 12097, 547, 2669, 593, 519, 8265, 269, 594, 1223, 2285, 3875, 1806, 540, 519, 17536, 1182, 649, 782, 917, 2049, 269, 12846, 267, 519, 824, 3013, 1932, 1419, 7140, 513, 7104, 9420, 3750, 610, 9060, 1175, 5874, 585, 891, 17536, 1182, 563, 2026, 649, 1847, 4464, 547, 1711, 513, 8087, 3013, 267, 1577, 781, 3314, 3751, 781, 1383, 269, 3751, 4665, 919, 803, 547, 7903, 4464, 543, 585, 613, 513, 17321, 2104, 585, 938, 2197, 543, 1250, 2146, 563, 4517, 9445, 14472, 5964, 568, 606, 28013, 538, 661, 4471, 269, 0, 293, 14660, 683, 826, 4201, 648, 333, 912, 330, 739, 523, 32221, 267, 552, 8882, 778, 3768, 521, 1013, 749, 454, 293, 14660, 581, 516, 1080, 7373, 8175, 974, 4201, 648, 333, 454, 1704, 1530, 527, 523, 267, 8074, 281, 476, 272, 267, 274, 454, 272, 634, 476, 1704, 628, 11416, 6628, 454, 272, 269, 272, 11572, 17461, 454, 272, 269, 273, 15510, 543, 15215, 454, 272, 269, 274, 9085, 543, 20989, 454, 273, 21058, 589, 3578, 11208, 454, 273, 269, 272, 23063, 6672, 540, 6468, 454, 273, 269, 273, 5675, 543, 14539, 607, 513, 19716, 454, 274, 20152, 28533, 754, 880, 454, 274, 269, 273, 5020, 543, 4518, 607, 513, 27752, 454, 274, 269, 274, 28533, 754, 880, 779, 7849, 13898, 454, 274, 269, 275, 634, 26994, 31888, 454, 763, 1459, 1957, 9388, 609, 519, 1888, 540, 339, 4775, 4589, 1222, 538, 519, 5339, 1158, 540, 519, 27867, 10601, 4789, 543, 12662, 519, 8561, 593, 606, 11108, 543, 30508, 4775, 5856, 281, 20152, 28533, 754, 880, 563, 1607, 1568, 568, 5258, 883, 1614, 1292, 2694, 269, 634, 1101, 3296, 5713, 607, 606, 4367, 547, 519, 1292, 1888, 543, 2488, 519, 5467, 609, 4282, 1344, 827, 519, 2797, 267, 1514, 267, 3909, 543, 5339, 3510, 1282, 602, 942, 269, 898, 6799, 513, 2689, 540, 519, 31341, 6681, 19588, 540, 519, 2296, 17599, 267, 519, 8375, 8830, 11939, 3350, 2429, 519, 2540, 543, 519, 1646, 540, 2296, 16222, 1310, 519, 5736, 540, 519, 10906, 534, 8609, 693, 519, 1439, 540, 519, 31303, 2540, 563, 763, 2034, 851, 6257, 2021, 779, 1909, 538, 519, 30013, 2486, 540, 519, 27867, 2540, 543, 519, 7965, 540, 741, 1169, 6377, 1272, 269, 898, 849, 2798, 856, 519, 9465, 543, 7965, 2021, 11402, 950, 3843, 547, 4283, 519, 5256, 26730, 3990, 5339, 1158, 543, 4408, 589, 874, 571, 2142, 18255, 543, 918, 15811, 5845, 2354, 607, 1079, 2021, 267, 945, 267, 18562, 267, 3964, 2933, 607, 3811, 4775, 5830, 563, 7661, 267, 519, 3791, 543, 2063, 851, 540, 713, 1957, 568, 6131, 547, 519, 30508, 5856, 20152, 28533, 754, 880, 267, 667, 31866, 1087, 540, 1715, 31069, 269, 898, 3568, 606, 7650, 540, 1200, 1272, 543, 960, 543, 2523, 12116, 1200, 607, 519, 1101, 4807, 547, 15476, 1200, 1378, 2067, 6138, 267, 585, 799, 1352, 729, 22309, 676, 1082, 540, 1200, 29629, 2456, 563, 763, 27867, 10601, 4789, 729, 513, 31341, 6681, 942, 543, 666, 5631, 581, 5258, 883, 1079, 11775, 281, 519, 2038, 27867, 2540, 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 ]

[ 481, 7511, 31006, 16533, 493, 418, 371, 365, 18021, 355, 476, 1109, 273, 780, 258, 17276, 507, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 258, 28859, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 26553, 3065, 3829, 6361, 1532, 2435, 2389, 872, 454, 258, 29635, 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, 12486, 692, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 5035, 30741, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 692, 3698, 14764, 21698, 25225, 281, 1592, 264, 9847, 30741, 912, 825, 20313, 815, 11713, 825, 3597, 815, 30741, 25225, 314, 271, 7481, 825, 20313, 6910, 20172, 994, 825, 12398, 1103, 29381, 815, 6936, 454, 825, 585, 1003, 538, 15358, 314, 272, 281, 14158, 1038, 6843, 815, 7183, 454, 1038, 952, 1003, 912, 2018, 6843, 815, 30741, 16325, 994, 2018, 20313, 6910, 27316, 2020, 1038, 2212, 815, 20313, 314, 271, 2639, 1038, 952, 12398, 1103, 29381, 912, 2018, 2212, 16000, 815, 6843, 454, 1038, 3116, 912, 2018, 2212, 16192, 815, 6843, 454, 2018, 20313, 21014, 263, 271, 994, 1038, 12398, 1103, 29381, 815, 711, 12398, 1103, 29381, 22562, 825, 2132, 3597, 692, 5035, 8827, 912, 825, 1948, 476, 20881, 496, 25051, 496, 454, 825, 1219, 1295, 291, 3704, 272, 4311, 267, 3597, 281, 30741, 264, 9847, 703, 912, 1038, 1948, 1152, 585, 11713, 1038, 952, 711, 3597, 912, 2018, 2132, 476, 271, 454, 1038, 952, 711, 3597, 16000, 543, 711, 3597, 16192, 912, 2018, 2132, 476, 272, 692, 1038, 952, 3597, 16000, 543, 3597, 16192, 912, 2018, 2132, 1295, 4311, 269, 2381, 291, 3704, 20172, 16000, 1070, 1582, 269, 2381, 291, 3704, 20172, 16192, 4297, 266, 272, 692, 1038, 952, 3597, 16000, 912, 2018, 2132, 1582, 269, 2381, 291, 3704, 20172, 16000, 11924, 272, 454, 1038, 952, 3597, 16192, 912, 2018, 2132, 1582, 269, 2381, 291, 3704, 20172, 16192, 11924, 272, 692, 825, 1948, 476, 13213, 511, 28786, 476, 20069, 30536, 417, 481, 493, 5263, 306, 476, 12916, 484, 23946, 370, 21251, 15159, 419, 374, 363, 419, 366, 373, 7511, 5263, 306, 454, 825, 1219, 1295, 291, 3704, 1556, 4311, 267, 3597, 281, 30741, 264, 9847, 703, 1384, 1038, 952, 711, 3597, 912, 2018, 2132, 476, 271, 692, 1038, 1295, 291, 3704, 815, 10581, 3488, 8882, 5073, 1038, 10518, 815, 1496, 14654, 921, 9230, 10174, 267, 476, 272, 4297, 2639, 1038, 524, 660, 291, 3704, 815, 10581, 3488, 8882, 17210, 1038, 1247, 10518, 912, 2018, 6843, 267, 3178, 815, 10518, 21014, 4590, 2018, 2451, 815, 6843, 16000, 454, 2018, 1318, 815, 6843, 16192, 692, 2018, 952, 711, 2451, 543, 711, 1318, 912, 3546, 1295, 291, 3704, 815, 1295, 5560, 3704, 267, 1295, 291, 3704, 994, 3546, 3136, 692, 2018, 952, 2451, 912, 3546, 10518, 6910, 6025, 340, 921, 9230, 3847, 267, 3178, 266, 272, 21875, 2018, 952, 1318, 912, 3546, 10518, 6910, 6025, 340, 921, 9230, 2431, 267, 3178, 266, 272, 21875, 13872, 1038, 2132, 1295, 291, 3704, 692, 825, 1948, 645, 12396, 454, 825, 1219, 1295, 291, 3704, 4311, 267, 3597, 281, 30741, 264, 9847, 703, 912, 1038, 952, 711, 3597, 912, 2018, 2132, 476, 271, 28329, 1038, 20313, 815, 1496, 10174, 2639, 1038, 1295, 291, 3704, 815, 476, 271, 454, 1038, 1247, 20313, 912, 2018, 1295, 291, 3704, 6834, 476, 272, 692, 2018, 3259, 815, 7003, 263, 28255, 994, 2018, 1007, 20075, 826, 815, 11713, 2018, 585, 7329, 343, 538, 2039, 263, 271, 267, 3259, 2187, 3546, 6843, 815, 20313, 314, 30915, 2639, 3546, 952, 711, 6843, 16000, 543, 711, 6843, 16192, 912, 7386, 2132, 1295, 291, 3704, 454, 3546, 952, 6843, 16000, 912, 7386, 1007, 20075, 826, 6910, 27316, 16000, 994, 3546, 952, 6843, 16192, 912, 7386, 1007, 20075, 826, 6910, 27316, 16192, 2020, 2018, 20313, 815, 1007, 20075, 826, 454, 1038, 2132, 1295, 291, 3704, 7531, 333, 4548, 815, 1496, 274, 267, 280, 267, 736, 267, 14085, 267, 14085, 267, 1428, 267, 278, 2639, 29728, 815, 14764, 21698, 25225, 994, 334, 815, 8827, 14061, 2381, 291, 3704, 6025, 872, 994, 2745, 263, 334, 264, 0, 258, 815, 2525, 7493, 3337, 5049, 815, 2525, 1477, 5035, 23426, 273, 291, 11328, 2183, 6769, 825, 1219, 2721, 4311, 2567, 1780, 5897, 5035, 23426, 274, 291, 11328, 2183, 6769, 825, 1219, 1628, 4311, 2567, 1780, 5897, 258, 815, 2525, 6405, 3337, 5049, 815, 2525, 1477, 5035, 17781, 263, 4537, 1901, 273, 291, 11328, 2183, 8029, 825, 1219, 2721, 4311, 8029, 1038, 1820, 2891, 290, 22511, 6155, 3863, 257, 10142, 5035, 12384, 263, 4537, 1901, 273, 291, 11328, 2183, 8029, 825, 1219, 2721, 4311, 8029, 1038, 1820, 2891, 306, 13645, 6155, 3863, 257, 10142, 5035, 1975, 1877, 263, 4537, 1901, 274, 291, 11328, 2183, 8029, 825, 1219, 1628, 4311, 8029, 1038, 1820, 2891, 8967, 1877, 12500, 4265, 257, 10142, 5035, 28116, 263, 4537, 1901, 274, 291, 11328, 2183, 8029, 825, 1219, 1628, 4311, 8029, 1038, 1820, 2891, 290, 4209, 12500, 4265, 14744, 5897, 258, 815, 2525, 17593, 3337, 12051, 815, 2525, 1477, 5035, 23426, 15542, 800, 11328, 2183, 6769, 825, 1219, 1205, 4537, 1901, 4433, 1938, 2567, 1780, 5897, 258, 815, 2525, 22493, 3337, 15327, 815, 2525, 1477, 5035, 23426, 273, 5263, 716, 800, 263, 4537, 1901, 15542, 800, 11328, 2183, 8029, 825, 7711, 18878, 24709, 1477, 825, 1219, 1205, 4537, 1901, 4433, 1938, 8029, 1038, 952, 5011, 2652, 476, 272, 6769, 2018, 2132, 17781, 14052, 1038, 952, 5011, 2652, 476, 275, 6769, 2018, 2132, 12384, 14052, 1038, 7682, 476, 271, 267, 834, 289, 611, 476, 273, 291, 3337, 5137, 281, 3337, 711, 3989, 585, 834, 1341, 5011, 1341, 834, 338, 1938, 257, 5897, 5035, 23426, 274, 5263, 716, 800, 263, 4537, 1901, 15542, 800, 11328, 2183, 8029, 825, 7711, 18878, 24709, 1477, 825, 1219, 1205, 4537, 1901, 4433, 1938, 8029, 1038, 5727, 1877, 267, 5011, 4016, 547, 519, 1297, 540, 8188, 18851, 1477, 1038, 952, 5011, 2652, 476, 272, 6769, 2018, 2132, 1975, 1877, 14052, 1038, 952, 5011, 2652, 476, 277, 6769, 2018, 2132, 28116, 14052, 1038, 7682, 476, 271, 267, 834, 289, 611, 476, 274, 291, 3337, 5137, 281, 3337, 711, 3989, 585, 834, 1341, 5011, 1341, 834, 5865, 29177, 0, 5035, 11788, 293, 5407, 281, 5897, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1582, 269, 1440, 1307, 815, 32582, 5897, 825, 1219, 5173, 4311, 267, 3970, 8029, 1038, 5727, 4024, 5173, 782, 519, 22136, 2630, 3970, 269, 5727, 1477, 1038, 1780, 5897, 825, 1219, 856, 4311, 8029, 1038, 5727, 2398, 6493, 519, 1592, 540, 22136, 4776, 12089, 609, 799, 5690, 1500, 621, 5727, 1477, 1038, 1820, 4311, 14857, 5035, 1029, 14857, 4067, 1029, 3418, 1038, 585, 6305, 538, 1582, 269, 1440, 1307, 6769, 2018, 1820, 263, 18905, 3418, 5897, 5035, 10434, 290, 10757, 28269, 293, 5407, 263, 28269, 293, 5407, 8029, 825, 1219, 5173, 4311, 267, 3970, 8029, 1038, 2182, 322, 10757, 318, 1440, 1307, 815, 1496, 273, 267, 274, 267, 276, 267, 278, 267, 1556, 267, 1724, 267, 1704, 267, 866, 267, 2537, 267, 3066, 267, 4029, 267, 4391, 267, 6078, 267, 6246, 267, 5325, 15947, 1038, 22136, 815, 1496, 15947, 1038, 585, 6305, 538, 2182, 322, 10757, 318, 1440, 1307, 6769, 2018, 952, 630, 18905, 2999, 3970, 8029, 3546, 1582, 269, 1440, 1307, 6910, 263, 18905, 3418, 5897, 5035, 9208, 28269, 293, 5407, 263, 28269, 293, 5407, 8029, 825, 1219, 5173, 4311, 267, 3970, 8029, 1038, 1582, 269, 1440, 1307, 815, 1496, 273, 15947, 1038, 1948, 2638, 1152, 9642, 2338, 23228, 1038, 585, 1297, 538, 2039, 263, 274, 267, 3970, 267, 476, 273, 8029, 2018, 568, 318, 18905, 815, 6936, 1477, 2018, 585, 6305, 538, 1582, 269, 1440, 1307, 6769, 3546, 952, 630, 15893, 4939, 6305, 2652, 476, 271, 8029, 7386, 568, 318, 18905, 815, 8771, 1477, 7386, 2736, 1477, 2018, 952, 630, 529, 318, 18905, 8029, 3546, 1582, 269, 1440, 1307, 6910, 28840, 3418, 5897, 5035, 11788, 293, 5407, 5141, 1304, 281, 5897, 825, 1219, 6449, 8181, 9191, 1345, 267, 3970, 8029, 1038, 1582, 269, 3916, 527, 815, 3970, 1477, 1038, 952, 3970, 10922, 476, 2004, 6769, 2018, 1582, 8807, 5407, 815, 10434, 290, 10757, 28269, 293, 5407, 14052, 1038, 3116, 6769, 2018, 1582, 8807, 5407, 815, 9208, 28269, 293, 5407, 31476, 825, 1219, 1205, 318, 1440, 1307, 4311, 8029, 1038, 1582, 8807, 5407, 269, 20412, 622, 4311, 269, 3916, 527, 3418, 1038, 1582, 8807, 5407, 269, 719, 14052, 0, 3698, 1930, 18316, 10031, 825, 609, 1930, 3488, 14090, 17902, 10807, 607, 4786, 18316, 912, 1038, 9864, 8548, 777, 815, 1496, 14090, 318, 1467, 25331, 29328, 3890, 585, 4786, 318, 1467, 538, 4786, 18316, 6540, 825, 2132, 9864, 8548, 777, 7531, 3698, 1293, 4671, 4181, 263, 2431, 267, 1524, 2187, 825, 2990, 815, 476, 271, 454, 825, 1297, 15058, 4671, 4181, 815, 476, 271, 692, 825, 585, 4786, 318, 1467, 538, 9864, 8548, 777, 314, 6658, 15311, 6658, 14158, 1038, 2990, 815, 630, 6570, 1341, 1318, 264, 4939, 7003, 9852, 777, 318, 1467, 994, 1038, 1297, 15058, 4671, 4181, 815, 1297, 15058, 4671, 4181, 1341, 476, 272, 952, 4786, 318, 1467, 314, 6570, 316, 2652, 1412, 258, 262, 3116, 1297, 15058, 4671, 4181, 692, 825, 2132, 1297, 15058, 4671, 4181, 7531, 258, 623, 11286, 21450, 1948, 454, 14783, 8548, 777, 815, 1930, 18316, 10797, 2745, 6262, 870, 4671, 4181, 263, 274, 267, 476, 272, 264, 9239, 258, 623, 11286, 29375, 302, 1948, 454, 24987, 815, 1293, 4671, 4181, 263, 272, 267, 476, 272, 994, 24987, 2608, 284, 1293, 4671, 4181, 263, 274, 267, 476, 272, 994, 24987, 2608, 284, 1293, 4671, 4181, 263, 276, 267, 476, 272, 994, 24987, 2608, 284, 1293, 4671, 4181, 263, 278, 267, 476, 272, 994, 24987, 2608, 284, 1293, 4671, 4181, 263, 272, 267, 476, 273, 2020, 2745, 263, 24987, 994, 0, 720, 815, 703, 9272, 2891, 21498, 373, 424, 489, 510, 14602, 502, 14091, 480, 502, 27338, 32629, 498, 14091, 359, 485, 14602, 372, 32174, 478, 424, 504, 498, 8119, 4917, 19689, 815, 703, 9272, 2891, 424, 481, 507, 14602, 376, 27338, 10563, 356, 478, 423, 480, 361, 424, 488, 369, 21498, 486, 422, 373, 490, 286, 14091, 356, 508, 424, 506, 376, 423, 358, 368, 476, 271, 10563, 499, 482, 21498, 486, 423, 358, 368, 910, 272, 8442, 2020, 720, 815, 2085, 17070, 9500, 692, 2745, 2891, 21498, 373, 424, 489, 510, 14602, 502, 14091, 363, 372, 422, 369, 511, 423, 480, 502, 27338, 32629, 498, 24333, 720, 2437, 424, 480, 368, 10563, 508, 483, 21498, 486, 30319, 1701, 264, 0, 5814, 4351, 692, 4289, 815, 11713, 322, 2867, 815, 476, 271, 454, 31037, 2867, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 1015, 2187, 825, 1592, 6910, 263, 12690, 27110, 263, 271, 267, 736, 11723, 1721, 1775, 538, 1592, 912, 825, 1820, 9217, 994, 825, 952, 1775, 11203, 476, 271, 912, 1038, 952, 1775, 4939, 476, 273, 2652, 476, 271, 912, 2018, 1750, 339, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 27394, 2867, 6834, 476, 272, 692, 2745, 2891, 290, 2867, 281, 24001, 715, 1815, 2867, 281, 24001, 2668, 8971, 6262, 2867, 267, 31037, 2867, 4917 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2487, 1296, 267, 972, 814, 1044, 513, 3395, 3350, 2509, 6220, 15594, 5380, 883, 519, 1353, 540, 2979, 1686, 269, 1452, 5380, 3343, 547, 10625, 543, 2232, 519, 11528, 12886, 602, 723, 3366, 547, 519, 896, 10517, 19948, 540, 1978, 2516, 538, 6128, 267, 1247, 849, 10223, 519, 1271, 7418, 1500, 676, 891, 1419, 15763, 22697, 780, 3080, 1883, 1523, 1369, 15594, 5380, 593, 2979, 1686, 568, 519, 2856, 540, 834, 30241, 515, 614, 517, 768, 18356, 2437, 610, 519, 13429, 602, 2757, 4008, 5107, 543, 4638, 31223, 616, 2067, 543, 3339, 269, 901, 16809, 814, 1185, 1713, 5222, 593, 519, 2361, 540, 6128, 267, 3056, 547, 519, 17181, 540, 1346, 945, 798, 711, 3514, 883, 891, 7522, 6688, 269, 1280, 1383, 267, 2021, 723, 13840, 1044, 27209, 689, 13197, 6310, 11678, 1813, 547, 6848, 6788, 827, 741, 6469, 9021, 269, 6684, 267, 11806, 266, 22697, 723, 5185, 7130, 543, 14882, 267, 1818, 621, 2352, 585, 873, 547, 8011, 538, 519, 2361, 780, 5194, 1271, 1523, 568, 834, 5793, 7611, 1275, 2437, 799, 4016, 547, 519, 2081, 538, 799, 1114, 3029, 540, 15746, 630, 7945, 607, 10168, 267, 3023, 1143, 267, 543, 4630, 22785, 264, 12969, 543, 16937, 269, 28249, 1275, 8711, 519, 1249, 602, 2043, 1995, 2789, 3029, 540, 7130, 8195, 267, 543, 602, 5466, 835, 1106, 540, 15746, 1510, 6236, 922, 2078, 547, 1866, 666, 28511, 2417, 2800, 269, 769, 519, 2796, 540, 2979, 1686, 267, 28622, 14405, 3007, 547, 519, 2189, 2591, 5185, 676, 2021, 540, 2681, 267, 20210, 2021, 267, 543, 824, 12790, 2516, 1369, 519, 2361, 780, 288, 3791, 1883, 1523, 568, 834, 1056, 4812, 3069, 2437, 799, 13187, 602, 1702, 568, 13998, 13883, 543, 602, 12790, 2950, 723, 3407, 4030, 543, 5380, 547, 2709, 269, 5776, 4812, 3069, 11363, 519, 2956, 540, 6947, 547, 543, 7586, 4328, 519, 9739, 540, 1346, 945, 723, 1044, 12926, 16934, 689, 6310, 11407, 269, 1635, 1298, 1359, 519, 2833, 543, 6791, 540, 12790, 2950, 267, 29459, 3069, 11394, 547, 4161, 8789, 6386, 543, 3895, 3152, 9698, 543, 13784, 538, 6128, 780, 3383, 875, 1281, 782, 540, 713, 1921, 547, 1699, 3466, 543, 1483, 8996, 1806, 286, 2290, 2487, 1383, 2501, 689, 519, 15784, 4478, 519, 8366, 532, 540, 519, 20380, 29425, 29274, 267, 2808, 519, 17587, 15356, 540, 9119, 267, 547, 6307, 600, 19257, 345, 752, 7315, 328, 538, 476, 1001, 275, 269, 2755, 1200, 9740, 729, 9976, 676, 1082, 267, 1866, 20402, 2436, 1352, 729, 5963, 964, 6326, 540, 519, 8956, 267, 11021, 602, 1200, 960, 729, 1447, 11826, 982, 602, 540, 1200, 5256, 13413, 269, 901, 2186, 540, 25949, 543, 22987, 568, 711, 16613, 585, 2021, 543, 824, 12790, 22697, 267, 945, 1590, 7683, 6961, 2933, 538, 1931, 547, 581, 3144, 12517, 780, 11101, 267, 5103, 3356, 538, 2487, 5756, 267, 2021, 543, 4008, 1875, 935, 14127, 2043, 3136, 547, 581, 26173, 538, 6310, 5238, 543, 12326, 269, 4340, 547, 513, 1867, 676, 519, 1977, 19556, 5980, 267, 1152, 476, 3607, 260, 540, 4387, 919, 538, 6128, 941, 13752, 547, 2021, 538, 476, 1001, 278, 267, 1524, 689, 476, 2412, 260, 538, 476, 1220, 271, 269, 3958, 267, 513, 1353, 3370, 538, 519, 4760, 7186, 1336, 602, 4930, 30363, 676, 2021, 941, 7608, 693, 2539, 3928, 982, 1346, 30363, 676, 2367, 267, 1256, 950, 9013, 585, 2188, 971, 607, 2298, 543, 10083, 780, 2414, 2232, 891, 5571, 13103, 267, 621, 568, 1898, 547, 6451, 15594, 5380, 883, 519, 1353, 540, 2979, 1686, 269, 1635, 6313, 519, 3140, 5072, 540, 11528, 9186, 543, 17979, 267, 649, 666, 2253, 547, 24905, 548, 519, 3889, 602, 28511, 8635, 543, 1711, 811, 8537, 5624, 585, 782, 22697, 269, 901, 1522, 4125, 556, 8586, 9499, 547, 1331, 519, 7418, 540, 12790, 22697, 267, 7598, 4763, 2866, 3292, 585, 12200, 543, 5234, 267, 610, 2870, 30023, 3255, 585, 26173, 1053, 780, 1103, 3932, 267, 15594, 5380, 593, 2979, 1686, 2709, 513, 2565, 7828, 998, 799, 547, 4983, 519, 2361, 781, 2250, 543, 1459, 269, 1635, 4101, 28250, 515, 614, 517, 768, 894, 10054, 267, 8508, 28622, 267, 543, 6173, 908, 12790, 9739, 267, 649, 666, 960, 2509, 513, 811, 12581, 543, 3309, 6310, 2146, 269, 1306, 7855, 543, 5640, 267, 621, 568, 938, 5539, 547, 4497, 609, 891, 5380, 543, 8362, 5706, 519, 4229, 540, 15746, 602, 723, 8032, 2979, 1686, 585, 2484, 1932, 1279, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9349, 634, 8892, 1772, 8751, 6563, 476, 1704, 18370, 8826, 5525, 454, 9349, 634, 8892, 1772, 8751, 6563, 476, 1704, 18370, 8826, 5525, 454, 763, 4359, 1433, 519, 2104, 568, 14182, 476, 1704, 585, 713, 17003, 9637, 1935, 949, 590, 22218, 13175, 676, 835, 540, 519, 7292, 4441, 540, 31546, 15066, 1949, 538, 799, 519, 851, 568, 9619, 267, 585, 10103, 519, 2790, 610, 519, 2797, 6138, 263, 4858, 527, 28086, 476, 2735, 275, 282, 674, 13831, 476, 1960, 276, 282, 16019, 476, 1960, 272, 282, 16019, 543, 654, 1157, 839, 476, 1960, 272, 1040, 589, 1808, 16794, 568, 585, 1603, 519, 1382, 610, 1747, 1935, 540, 519, 9866, 3569, 11571, 267, 799, 568, 519, 1533, 543, 960, 540, 28250, 16303, 1143, 269, 589, 17009, 520, 540, 824, 8617, 6127, 1134, 2016, 1974, 9637, 263, 4110, 264, 547, 5855, 1210, 540, 6205, 2634, 711, 609, 2111, 15594, 960, 4960, 547, 2061, 521, 17254, 600, 564, 637, 693, 513, 19725, 543, 547, 581, 519, 1433, 540, 4521, 1063, 4935, 1950, 2687, 2361, 5380, 263, 645, 756, 15927, 1696, 620, 269, 476, 1960, 276, 282, 26054, 543, 24622, 1067, 476, 1960, 276, 282, 12928, 29793, 879, 577, 543, 26054, 476, 1220, 272, 282, 654, 26413, 24329, 1696, 620, 269, 2311, 519, 3109, 2034, 267, 519, 1533, 540, 1016, 538, 513, 3043, 543, 22257, 3993, 3091, 1634, 1634, 547, 5604, 269, 1174, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 655, 21442, 21126, 593, 4569, 3778, 257, 607, 851, 540, 834, 21316, 30388, 1315, 3778, 1299, 13898, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 1576, 1770, 593, 14769, 2359, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 1945, 1572, 834, 14490, 26027, 1701, 901, 1523, 1522, 3280, 7294, 693, 1101, 267, 855, 1810, 1405, 5855, 910, 594, 9153, 621, 786, 1118, 2631, 4166, 780, 5331, 596, 723, 930, 2724, 10710, 909, 602, 596, 1616, 547, 1902, 269, 1411, 1223, 2322, 782, 707, 5798, 538, 835, 11127, 267, 865, 547, 3717, 267, 543, 2322, 782, 540, 707, 2724, 883, 1175, 835, 6006, 610, 6125, 269, 1809, 1018, 952, 602, 5092, 3085, 1405, 1685, 1134, 286, 1411, 1223, 1439, 909, 9561, 513, 2603, 540, 707, 2182, 268, 792, 2740, 6666, 2439, 6546, 781, 1141, 1981, 26027, 2501, 538, 269, 2060, 713, 1935, 267, 3079, 540, 8380, 782, 707, 2724, 883, 835, 1826, 540, 5092, 267, 596, 3262, 621, 856, 14961, 1851, 1114, 2010, 540, 9541, 269, 2334, 1259, 267, 952, 835, 5092, 4422, 1524, 538, 1871, 267, 621, 4465, 1405, 10413, 596, 1932, 1454, 1317, 596, 1869, 723, 824, 9541, 602, 949, 581, 3257, 1134, 780, 4131, 781, 946, 606, 1383, 547, 948, 9414, 713, 2856, 269, 5994, 596, 723, 1269, 272, 267, 1822, 547, 1902, 269, 5502, 540, 8380, 782, 540, 621, 883, 835, 2754, 781, 6006, 267, 596, 6430, 547, 7941, 621, 8449, 1063, 2185, 1114, 2010, 540, 9541, 281, 13632, 267, 7554, 267, 1483, 10040, 267, 543, 21113, 899, 4154, 610, 3282, 269, 1924, 596, 1131, 2322, 1269, 7742, 883, 1142, 7121, 780, 3086, 1577, 781, 2161, 602, 936, 942, 267, 519, 6006, 2344, 3217, 513, 5734, 543, 519, 1871, 540, 707, 6006, 9541, 12772, 676, 476, 736, 10065, 2334, 1797, 596, 4312, 4503, 1269, 2004, 18121, 7742, 1535, 476, 736, 8472, 540, 707, 3312, 5092, 538, 13632, 269, 1809, 1934, 781, 519, 1434, 3377, 281, 1247, 707, 6006, 9541, 941, 21177, 267, 707, 824, 1614, 6688, 1522, 723, 1044, 7900, 1732, 256, 9320, 707, 6125, 9541, 4682, 909, 538, 1871, 676, 476, 276, 9077, 707, 1483, 10040, 9541, 18423, 11931, 267, 543, 707, 21113, 4682, 909, 676, 476, 1015, 260, 780, 2691, 596, 1039, 909, 519, 12374, 543, 9271, 538, 1142, 7121, 267, 596, 1265, 602, 2949, 267, 596, 1152, 4503, 476, 276, 260, 540, 707, 3003, 14769, 269, 2334, 781, 1317, 10825, 707, 9541, 1472, 1210, 513, 1981, 26027, 1935, 5280, 2149, 596, 689, 2462, 9271, 950, 835, 1880, 1858, 7012, 1405, 3257, 1134, 780, 8170, 1576, 267, 972, 781, 1100, 10018, 602, 1022, 5092, 4640, 786, 2141, 960, 9985, 269, 29714, 979, 909, 543, 1524, 782, 519, 942, 267, 543, 3006, 3388, 4667, 547, 6749, 1927, 269, 1809, 1382, 814, 3254, 602, 1210, 513, 1981, 26027, 1935, 666, 1419, 1267, 538, 8669, 1512, 7024, 936, 519, 1279, 2165, 3379, 547, 10115, 782, 707, 2724, 538, 1175, 835, 3364, 780, 3383, 1946, 1281, 713, 2339, 585, 721, 2221, 286, 4270, 267, 4952, 1373, 513, 2883, 6205, 3843, 547, 948, 4213, 3082, 547, 513, 4657, 1158, 269, 1703, 616, 1082, 4220, 3238, 538, 1818, 891, 5686, 540, 3664, 1107, 2523, 950, 621, 2501, 547, 5466, 2152, 899, 2916, 1689, 269, 1635, 1620, 2035, 899, 1981, 26027, 267, 596, 3513, 581, 1732, 9280, 547, 4383, 1346, 4220, 543, 1118, 5100, 5079, 827, 1141, 547, 1902, 2200, 269, 1656, 945, 6487, 286, 2290, 1554, 267, 6148, 9358, 786, 581, 3056, 519, 5279, 2509, 513, 22928, 2104, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 12794, 553, 3427, 540, 6355, 568, 22745, 519, 1101, 2875, 21445, 8693, 10298, 8750, 267, 519, 5767, 1840, 547, 922, 3102, 6437, 547, 16491, 519, 1985, 5108, 540, 1870, 3401, 609, 519, 2883, 1983, 547, 17108, 519, 5912, 547, 513, 1970, 28003, 4346, 563, 24375, 940, 538, 2887, 476, 1708, 275, 267, 32233, 1053, 666, 18934, 538, 513, 1007, 1576, 1141, 789, 4196, 607, 5092, 9946, 585, 519, 1269, 273, 269, 4391, 2929, 2508, 267, 1565, 875, 547, 2497, 14104, 538, 1950, 4357, 6990, 676, 1071, 2987, 4034, 532, 538, 1483, 8996, 9388, 5059, 593, 3435, 547, 2916, 1689, 563, 2108, 2026, 519, 1158, 7575, 4724, 513, 3804, 540, 2121, 25179, 3327, 5434, 676, 476, 13078, 271, 267, 649, 991, 2883, 3401, 609, 519, 1983, 547, 6330, 519, 2804, 4838, 649, 616, 6849, 2223, 3081, 7905, 1520, 1515, 5651, 572, 267, 1071, 1922, 10133, 540, 519, 306, 20980, 543, 8177, 16010, 4741, 630, 6347, 9281, 1070, 945, 22885, 540, 519, 2508, 543, 786, 1291, 519, 1576, 269, 968, 1607, 2804, 4838, 786, 581, 31417, 569, 26688, 2943, 786, 849, 581, 513, 2707, 540, 811, 1870, 3255, 2066, 782, 2694, 540, 519, 2197, 982, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 32391, 3474, 640, 13979, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 7767, 906, 1299, 1530, 15247, 1315, 5800, 12859, 5004, 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, 7170, 281, 1215, 547, 15233, 5274, 2065, 22604, 538, 29960, 692, 272, 269, 13760, 5274, 2065, 10017, 281, 6969, 7311, 1480, 2065, 4485, 538, 13508, 267, 621, 568, 1898, 547, 1174, 1018, 1480, 2065, 6530, 14122, 269, 901, 1935, 6212, 593, 519, 3003, 1268, 267, 2921, 883, 2272, 741, 4555, 267, 4606, 267, 3527, 267, 543, 2123, 1686, 269, 898, 5784, 2043, 607, 2189, 7919 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 20692, 4414, 11276, 267, 606, 12314, 7548, 693, 519, 30803, 543, 4643, 8767, 12524, 693, 519, 2160, 540, 14151, 267, 5143, 11426, 28914, 269, 968, 6546, 779, 1018, 649, 4076, 2944, 538, 2230, 269, 5272, 942, 513, 14361, 8255, 856, 540, 4492, 1107, 543, 621, 1223, 581, 513, 9985, 2324, 14361, 1107, 596, 6749, 621, 543, 10131, 513, 1007, 31139, 269, 1496, 7021, 942, 316, 1919, 18061, 909, 3034, 763, 1966, 267, 646, 1767, 267, 568, 835, 540, 15287, 281, 1312, 12777, 543, 19562, 8271, 269, 968, 22129, 568, 2186, 540, 513, 10770, 1966, 2223, 4414, 11276, 6941, 269, 968, 2005, 779, 711, 899, 606, 2825, 9568, 267, 568, 621, 286, 1411, 917, 267, 972, 779, 606, 3282, 21383, 267, 596, 1294, 519, 10652, 15092, 4988, 538, 3282, 267, 602, 779, 4929, 513, 1471, 30844, 5114, 269, 1411, 1397, 3025, 513, 12297, 538, 519, 6607, 543, 1034, 1004, 1810, 1406, 1416, 269, 898, 779, 899, 267, 1946, 1058, 594, 5855, 1107, 2394, 519, 1591, 6049, 13515, 2324, 610, 519, 15870, 13515, 2324, 610, 519, 11176, 13515, 4730, 593, 519, 7641, 269, 3973, 1004, 2746, 3034, 300, 3019, 10739, 1790, 3326, 5024, 11935, 454, 4407, 2230, 22938, 538, 10739, 814, 4607, 513, 2370, 3007, 267, 519, 1966, 540, 2230, 22938, 593, 519, 7599, 814, 1044, 7361, 20114, 269, 2334, 779, 1317, 713, 3884, 1406, 513, 1966, 693, 2547, 585, 519, 942, 1373, 563, 3528, 4414, 11276, 779, 1378, 16075, 267, 519, 16264, 20771, 8756, 568, 4867, 5266, 2312, 269, 22702, 547, 519, 5215, 540, 17048, 539, 3615, 28835, 519, 3047, 267, 972, 616, 1152, 513, 1906, 18797, 31139, 338, 28835, 519, 9855, 269, 2986, 519, 1507, 19625, 540, 15408, 28835, 519, 7599, 267, 519, 1152, 8037, 630, 335, 1601, 4601, 519, 1152, 835, 538, 2407, 264, 616, 519, 8331, 30803, 26532, 18590, 2107, 321, 3438, 267, 1079, 3203, 28087, 14361, 630, 303, 272, 543, 623, 273, 264, 543, 3624, 779, 26284, 685, 324, 476, 276, 6874, 272, 269, 2334, 779, 1447, 20316, 982, 519, 6697, 540, 31986, 1776, 1286, 593, 513, 3818, 16923, 5397, 998, 6917, 29131, 563, 288, 1523, 3239, 540, 519, 3203, 28087, 476, 272, 2107, 542, 23555, 269, 8331, 454, 3719, 1175, 1317, 621, 779, 29131, 2221, 3085, 1406, 1611, 621, 4465, 1406, 581, 519, 19814, 538, 15829, 14182, 269, 2107, 267, 547, 2057, 608, 12000, 3130, 267, 693, 2547, 513, 2603, 1668, 1512, 982, 1631, 563, 14071, 1185, 519, 1101, 3408, 540, 519, 7599, 538, 519, 1496, 3422, 271, 338, 316, 685, 1767, 4414, 11276, 269, 968, 10190, 972, 729, 513, 9602, 1974, 538, 519, 1647, 267, 519, 2063, 476, 2004, 1296, 610, 865, 269, 1809, 1631, 972, 568, 513, 17105, 1719, 538, 16264, 3408, 269, 3683, 519, 1985, 5216, 1296, 267, 649, 2503, 909, 547, 476, 2004, 31139, 338, 547, 979, 547, 519, 7599, 269, 1284, 1616, 547, 2057, 519, 2186, 540, 3510, 649, 723, 593, 3047, 1496, 339, 1136, 1747, 316, 1472, 519, 7599, 267, 849, 538, 10739, 1472, 519, 7599, 3034, 1607, 666, 849, 581, 26688, 547, 15408, 543, 5732, 5906, 585, 2230, 4148, 2074, 267, 1312, 609, 543, 1510, 12284, 563, 763, 2856, 540, 30082, 16042, 2011, 6808, 1852, 568, 540, 1576, 711, 1007, 269, 898, 568, 4010, 1018, 5949, 609, 2757, 18714, 2011, 6808, 1852, 269, 634, 1101, 3978, 3646, 547, 1020, 3652, 585, 519, 15569, 543, 1852, 540, 2011, 6808, 3357, 538, 476, 4572, 273, 267, 1896, 1296, 1310, 519, 22305, 1116, 4139, 5794, 13482, 540, 476, 4489, 280, 269, 634, 1101, 1268, 547, 13166, 1289, 5128, 513, 3318, 2011, 6808, 17120, 267, 1488, 2151, 13477, 689, 853, 269, 8402, 267, 16713, 267, 3459, 5665, 538, 476, 4572, 280, 269, 4014, 2011, 2951, 729, 4098, 547, 1491, 1055, 693, 602, 942, 630, 335, 684, 10859, 10784, 2105, 1070, 621, 729, 1869, 538, 922, 26638, 3379, 547, 1018, 621, 729, 547, 1831, 269, 2060, 476, 15876, 267, 1822, 15915, 10760, 883, 519, 2475, 538, 476, 4572, 280, 267, 3379, 547, 476, 280, 2918, 2929, 15915, 5645, 538, 476, 1001, 280, 267, 519, 22839, 14201, 1406, 4010, 22125, 269, 11048, 267, 621, 729, 2808, 602, 513, 3070, 729, 2877, 267, 1256, 952, 621, 729, 4440, 1759, 593, 4397, 2208, 563, 8072, 296, 2097, 689, 519, 1158, 540, 9477, 30563, 20371, 2026, 519, 6031, 4422, 267, 519, 1101, 1900, 538, 6061, 513, 1966, 568, 547, 5431, 602, 972, 568, 513, 1966, 547, 2253, 609, 269, 1717, 267, 950, 621, 2501, 547, 6061, 513, 1966, 540, 713, 6988, 267, 16153, 1154, 519, 1966, 568, 2484, 689, 519, 7887, 19224, 548, 269, 18641, 267, 4414, 11276, 1767, 267, 693, 2547, 7620, 267, 602, 1082, 540, 519, 1699, 4066, 1031, 585, 9477, 3615, 689, 3047, 1223, 581, 1031, 585, 9477, 16264, 25057, 563, 16446, 11276, 543, 1010, 1053, 693, 519, 30803, 543, 4643, 8767, 12524, 946, 2027, 8596, 538, 519, 6280, 779, 4437, 14459, 476, 273, 1382, 9744, 547, 21656, 28250, 331, 12762, 3615, 269, 901, 24194, 540, 3937, 2882, 2789, 24985, 6131, 547, 519, 4656, 540, 519, 2230, 6389, 267, 1519, 835, 3710, 676, 513, 1895, 540, 4702, 1053, 689, 519, 2160, 540, 14151, 563, 28317, 2603, 666, 581, 2944, 609, 621, 892, 1496, 1492, 2666, 2861, 9804, 24985, 316, 649, 2907, 723, 585, 3257, 2520, 739, 566, 776, 1919, 2223, 4414, 11276, 1767, 269, 968, 2005, 779, 1175, 602, 789, 2461, 21260, 267, 865, 596, 723, 547, 16616, 519, 3239, 585, 513, 1279, 942, 543, 1205, 513, 4605, 602, 779, 4514, 3034, 14367, 1378, 4282, 267, 646, 7074, 267, 568, 968, 10852, 569, 7255, 609, 19236, 8878, 1848, 968, 296, 2097, 689, 519, 1158, 540, 20503, 9477, 267, 865, 513, 2603, 540, 519, 2645, 649, 4019, 547, 713, 1880, 1966, 7048, 593, 19236, 8878, 2645, 543, 4066, 2223, 646, 6045, 269, 968, 763, 20503, 2146, 814, 1044, 9477, 1360, 1507, 3615, 2484, 689, 3047, 585, 5756, 269, 1284, 946, 513, 2603, 540, 519, 3301, 543, 2553, 1496, 1721, 713, 1788, 316, 31334, 454, 296, 1616, 547, 581, 513, 7599, 2203, 454, 763, 10700, 3804, 540, 713, 1788, 2443, 543, 621, 779, 2907, 2417, 2059, 982, 596, 1522, 1589, 2443, 568, 547, 1628, 513, 2203, 602, 8308, 2982, 1022, 1843, 28835, 519, 7599, 269, 898, 786, 1287, 5031, 2009, 8580, 17313, 630, 1492, 16681, 2230, 2165, 585, 26301, 264, 1063, 891, 3615, 543, 3742, 31139, 338, 269, 4414, 11276, 1767, 519, 1907, 786, 581, 1031, 713, 1032, 585, 519, 10131, 540, 3203, 28087, 476, 272, 267, 519, 26813, 540, 8331, 779, 2706, 13463, 8283, 10131, 6174, 267, 799, 6663, 547, 6494, 606, 30313, 2740, 2107, 542, 14361, 883, 1427, 5766, 8565, 10739, 540, 519, 7599, 563, 763, 3173, 616, 849, 1818, 741, 2203, 2139, 547, 4357, 2230, 3549, 269, 968, 2252, 513, 10672, 2501, 909, 547, 721, 543, 3081, 267, 2048, 20756, 267, 649, 2461, 3257, 713, 5692, 547, 519, 7599, 267, 666, 596, 5225, 2638, 585, 8580, 17313, 286, 685, 8786, 267, 2386, 2223, 1767, 4414, 11276, 269, 968, 6546, 779, 513, 3028, 649, 2461, 2469, 547, 1683, 269, 1284, 1616, 547, 2057, 2870, 3653, 269, 898, 779, 811, 960, 585, 721, 547, 1832, 3950, 540, 513, 2603, 540, 1919, 269, 3502, 602, 649, 2461, 27823, 267, 855, 952, 649, 666, 2057, 543, 1832, 1496, 331, 12762, 10739, 316, 2973, 267, 602, 779, 1732, 585, 782, 540, 721, 3034, 288, 1434, 2243, 568, 875, 1454, 11268, 1379, 971, 513, 2230, 6808, 1852, 1062, 1131, 723, 269, 1280, 519, 19160, 540, 4661, 267, 1577, 779, 2161, 513, 4457, 9682, 13514, 513, 2009, 16650, 3463, 547, 513, 2475, 2230, 10131, 2443, 610, 267, 607, 713, 2011, 11898, 3587, 811, 20651, 267, 1079, 14742, 1981, 513, 2009, 16580, 269, 5808, 786, 581, 519, 835, 547, 3409, 1318, 540, 1259, 538, 513, 2009, 9813, 9269, 3014, 286, 5262, 2159, 2243, 269, 968, 296, 1810, 1406, 1589, 649, 723, 1022, 11268, 4390, 2223, 4414, 11276, 1767, 269, 968, 1607, 568, 811, 540, 606, 4081, 3635, 1496, 2431, 1631, 316, 31334, 454, 5194, 2104, 4161, 267, 2943, 547, 581, 10002, 17977, 267, 1223, 581, 22745, 4890, 2230, 13485, 547, 11766, 3606, 20771, 7221, 602, 666, 948, 6895, 2127, 711, 7298, 689, 3047, 267, 971, 607, 3615, 6456, 3297, 519, 7599, 269, 1547, 630, 8005, 6487, 281, 901, 1223, 1256, 4196, 607, 513, 4693, 2196, 585, 2147, 7341, 593, 824, 10785, 899, 9370, 267, 799, 1131, 2154, 519, 4070, 540, 4625, 1007, 5989, 1813, 547, 519, 7411, 540, 9477, 873, 689, 3047, 1848, 594, 1589, 649, 2461, 2907, 4058, 547, 798, 1945, 827, 519, 2359, 540, 2230, 6808, 1472, 9370, 2223, 646, 1767, 8094, 2690, 1631, 267, 1498, 267, 519, 2319, 786, 581, 6126, 952, 713, 6169, 540, 1523, 18327, 922, 1871, 607, 513, 1907, 547, 1489, 938, 5571, 2230, 4690, 2443, 543, 556, 11779, 548, 519, 22906, 609, 519, 7599, 563, 2108, 5978, 3804, 568, 547, 1577, 713, 9921, 543, 1397, 602, 1945, 899, 713, 666, 581, 9738, 543, 581, 3730, 2223, 1767, 4414, 11276, 269, 968, 10190, 649, 1780, 621, 593, 547, 519, 1004, 945, 723, 519, 1483, 5539, 547, 1832, 713, 2469, 1848, 0, 23737, 519, 3844, 3970, 11532, 563, 2005, 568, 513, 1505, 547, 1265, 17831, 609, 3732, 803, 9172, 269, 3245, 713, 11532, 519, 519, 1611, 540, 513, 3732, 1058, 581, 2673, 547, 519, 1611, 540, 513, 2551, 269, 634, 3677, 519, 3732, 519, 6251, 547, 519, 1611, 543, 519, 4130, 519, 3044, 11539, 563, 23338, 3970, 11532, 3081, 602, 519, 1611, 540, 513, 1804, 4351, 3732, 689, 513, 2551, 568, 899, 513, 2582, 8343, 689, 513, 2551, 2348, 513, 3339, 3892, 269, 634, 3677, 519, 3732, 519, 811, 519, 10386, 3892, 20998, 513, 3339, 3892, 563, 2690, 1022, 2551, 3892, 609, 1611, 13179, 543, 3044, 11539, 21566, 267, 519, 10386, 3892, 540, 519, 3732, 1611, 2473, 568, 5111, 3339, 609, 1611, 13179, 543, 3044, 11539, 21566, 270, 18414, 333, 267, 543, 519, 19406, 10607, 607, 562, 4679, 269, 901, 568, 1572, 519, 6239, 3970, 11532, 563, 2691, 596, 2040, 610, 3328, 562, 14477, 5697, 2418, 689, 1022, 3892, 267, 3339, 610, 6382, 267, 519, 3892, 540, 519, 2040, 610, 3328, 568, 5111, 3339, 267, 3177, 602, 562, 568, 18481, 1804, 269, 0, 11854, 3663, 4197, 2433, 9717, 606, 19039, 766, 689, 513, 3593, 267, 2697, 519, 1808, 7662, 1500, 676, 519, 3593, 269, 589, 2203, 540, 713, 1966, 1131, 1450, 513, 1982, 547, 1174, 543, 1118, 606, 3801, 547, 30593, 602, 7662, 269, 634, 21236, 609, 11184, 328, 814, 713, 12588, 563, 293, 864, 24544, 2433, 9717, 513, 3059, 8666, 17581, 540, 1082, 7366, 540, 3059, 11147, 267, 2697, 1346, 6337, 602, 1331, 513, 2016, 1268, 269, 589, 2203, 540, 713, 3375, 1184, 1131, 1450, 513, 1982, 547, 10891, 6337, 676, 1268, 269, 2368, 12514, 543, 3301, 899, 1775, 20124, 814, 713, 12588, 563, 7078, 540, 8131, 24544, 538, 513, 17421, 563, 20124, 676, 32275, 269, 2048, 560, 334, 13397, 10234, 896, 513, 21922, 27691, 732, 2704, 833, 476, 273, 269, 271, 9198, 545, 11300, 12780, 17821, 563, 29410, 24805, 566, 2433, 9717, 513, 6718, 1686, 585, 513, 6075, 543, 513, 1804, 11891, 540, 2472, 267, 2697, 1346, 2472, 538, 799, 602, 6075, 786, 581, 5461, 543, 2693, 547, 6718, 269, 589, 2203, 540, 713, 3375, 1184, 1131, 1450, 513, 1982, 547, 1118, 7840, 547, 513, 6075, 543, 18663, 1587, 16306, 269, 8835, 814, 713, 12588, 269, 4746, 1589, 540, 9365, 267, 5616, 31936, 543, 21912, 1103, 602, 4363, 3755, 547, 1921, 609, 596, 1310, 596, 1129, 5346, 563, 21357, 23369, 2433, 9717, 519, 2589, 17820, 538, 513, 3461, 543, 513, 6538, 540, 26687, 1242, 3461, 5638, 267, 3589, 2436, 519, 3461, 568, 2693, 547, 723, 606, 4576, 269, 589, 2203, 540, 713, 3375, 1966, 1223, 581, 1031, 676, 513, 1982, 547, 1683, 3375, 1489, 547, 2564, 4648, 269, 0, 7437, 22747, 543, 678, 3424, 14860, 779, 563, 300, 698, 2742, 568, 513, 5277, 7848, 540, 25183, 543, 10859, 25183, 4224, 538, 519, 25136, 9944, 519, 3618, 779, 12933, 563, 300, 698, 2742, 849, 3568, 15702, 9362, 630, 713, 568, 1883, 3738, 543, 16358, 1242, 6886, 269, 898, 779, 1459, 538, 22836, 1634, 607, 29351, 20830, 563, 300, 698, 2742, 568, 17512, 3745, 3905, 1107, 476, 10384, 547, 476, 9873, 271, 5232, 17622, 3905, 256, 630, 4248, 1630, 2812, 693, 476, 1911, 5232, 17622, 994, 6944, 9009, 547, 2442, 3661, 267, 621, 2501, 689 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2564, 5868, 267, 21084, 607, 1134, 607, 3797, 540, 5959, 2175, 543, 849, 1644, 13542, 269, 634, 3924, 568, 11338, 3810, 10097, 607, 1134, 607, 3091, 513, 8748, 2816, 2344, 269, 13966, 609, 519, 1114, 3344, 540, 5711, 6646, 267, 5959, 6391, 5161, 540, 16326, 543, 7231, 609, 1004, 269, 898, 568, 606, 1858, 540, 4915, 602, 30211, 593, 1818, 1978, 602, 5959, 1072, 568, 2635, 269, 3958, 267, 621, 814, 9118, 2640, 269, 0, 288, 5339, 1686, 540, 938, 1034, 9565, 1433, 540, 782, 942, 267, 676, 606, 10228, 16159, 543, 29842, 534, 17308, 769, 938, 2528, 267, 519, 6426, 568, 1395, 18070, 281, 898, 568, 513, 4015, 540, 2835, 602, 814, 1044, 24240, 543, 17946, 718, 1263, 539, 2094, 519, 9998, 2395, 540, 519, 4168, 5939, 269, 634, 2856, 540, 519, 6426, 607, 834, 295, 8432, 23075, 2437, 513, 1875, 268, 10864, 582, 4192, 6392, 2786, 689, 2696, 267, 814, 7173, 9229, 538, 5375, 2486, 585, 930, 942, 269, 1656, 1247, 621, 2488, 513, 6109, 5748, 585, 5553, 540, 4168, 3450, 267, 621, 3954, 625, 519, 3178, 267, 3099, 267, 543, 17381, 540, 713, 4241, 1257, 269, 769, 589, 3778, 540, 519, 6426, 267, 3627, 19258, 517, 13187, 602, 519, 6426, 568, 711, 513, 13310, 547, 513, 2347, 267, 6378, 3909, 1062, 267, 855, 2864, 513, 1587, 540, 513, 1279, 543, 10578, 1184, 267, 799, 814, 6273, 17194, 543, 8567, 267, 855, 1869, 1281, 711, 4766, 519, 2898, 540, 2901, 4984, 269, 19258, 517, 2982, 875, 519, 6426, 568, 8197, 606, 1271, 2707, 540, 3909, 5813, 585, 7642, 543, 10271, 7567, 267, 2943, 13187, 602, 621, 1590, 581, 1224, 538, 922, 3140, 2796, 734, 5228, 922, 20297, 538, 7242, 543, 18691, 547, 922, 1082, 12496, 2429, 519, 5553, 269, 898, 568, 513, 1433, 2407, 540, 6386, 267, 4031, 267, 605, 18690, 267, 16322, 2886, 267, 9954, 267, 543, 5022, 267, 1142, 609, 741, 1378, 1915, 543, 5169, 2984, 269, 19258, 517, 6941, 875, 543, 676, 7247, 891, 19635, 4773, 941, 2854, 267, 875, 789, 941, 17374, 1242, 630, 663, 799, 3283, 14201, 1405, 1070, 543, 875, 789, 941, 19632, 267, 22412, 730, 267, 543, 14648, 1472, 519, 1158, 734, 663, 267, 11932, 267, 547, 1018, 1198, 269, 11086, 267, 589, 3778, 540, 519, 6426, 13187, 602, 513, 9488, 1620, 540, 519, 1686, 543, 2796, 540, 922, 1603, 7512, 3909, 2950, 547, 1847, 2476, 689, 519, 6426, 781, 21055, 2262, 532, 734, 6518, 568, 7543, 547, 3313, 734, 663, 1445, 3079, 593, 519, 6626, 10096, 540, 27403, 563, 262, 291, 4593, 1478, 532, 6196, 11620, 17959, 262, 8214, 956, 519, 1082, 2055, 1053, 2307, 950, 2542, 519, 2835, 540, 19606, 267, 31519, 543, 15656, 585, 519, 1101, 942, 269, 3220, 269, 25453, 11339, 5693, 267, 1210, 3362, 6956, 2474, 585, 4896, 6998, 9921, 2055, 827, 519, 6196, 11620, 269, 634, 1433, 568, 606, 4998, 1257, 585, 4098, 519, 1353, 540, 519, 6196, 11620, 267, 543, 568, 2523, 28110, 547, 4901, 3898, 563, 262, 27670, 3733, 2195, 543, 10513, 23089, 538, 519, 6196, 11620, 262, 12116, 519, 13400, 6386, 799, 4766, 519, 8129, 540, 13411, 4025, 269, 898, 13187, 585, 519, 18774, 523, 2065, 5169, 610, 2699, 9146, 540, 1034, 540, 891, 6386, 269, 8422, 3844, 2055, 616, 9619, 281, 616, 972, 1455, 2934, 538, 13400, 6589, 827, 519, 5748, 540, 4025, 540, 10847, 282, 616, 972, 2609, 538, 519, 513, 564, 8344, 2984, 602, 7866, 519, 1412, 9418, 262, 13299, 270, 761, 783, 338, 540, 519, 25113, 282, 1018, 941, 519, 6381, 540, 519, 5137, 540, 971, 6386, 888, 24679, 729, 1247, 11264, 519, 1459, 4320, 602, 1250, 9393, 5747, 10393, 693, 1010, 1753, 538, 19090, 267, 1473, 269, 4438, 519, 8545, 2395, 540, 1010, 1272, 646, 6896, 543, 11368, 519, 1715, 11620, 8567, 3883, 8750, 607, 513, 1797, 540, 8876, 593, 519, 960, 646, 1185, 17298, 267, 543, 824, 12531, 786, 581, 9783, 607, 9709, 676, 6004, 269, 590, 1048, 5674, 269, 634, 1101, 4320, 729, 2016, 513, 1034, 10260, 658, 21200, 267, 543, 519, 1719, 865, 9020, 16484, 6829, 676, 23700, 729, 513, 1390, 6667, 267, 711, 1152, 547, 6004, 269, 590, 1048, 5674, 267, 855, 547, 1010, 27498, 538, 519, 3883, 8750, 1701, 4534, 5804, 519, 5983, 5320, 676, 11427, 269, 2098, 269, 570, 269, 590, 1048, 5674, 454, 1103, 713, 1454, 268, 656, 4602, 730, 1837, 267, 1614, 15197, 13400, 5640, 723, 2854, 513, 1686, 540, 3504, 5840, 602, 3217, 519, 13400, 1257, 12517, 607, 606, 3140, 3561, 269, 2755, 849, 6236, 1875, 321, 10041, 2959, 543, 1373, 18906, 633, 547, 1018, 10459, 899, 22884, 267, 19795, 267, 543, 15257, 2303, 827, 519, 2250, 267, 519, 4589, 798, 865, 1369, 519, 2796, 543, 17565, 540, 519, 6196, 11620, 17374, 267, 799, 568, 4371, 607, 519, 3119, 3561, 585, 18949, 532, 5840, 781, 1686, 269, 769, 3487, 2290, 267, 519, 4589, 1305, 519, 4320, 538, 2796, 543, 2689, 2250, 543, 1699, 14046, 7521, 827, 1565, 5840, 781, 1686, 267, 2258, 908, 7440, 1996, 1210, 519, 6426, 607, 519, 3844, 2707, 269, 769, 3487, 5565, 267, 789, 3343, 547, 1427, 749, 519, 1686, 3294, 609, 606, 3750, 547, 782, 519, 2188, 8268, 538, 3487, 2290, 563, 1607, 1433, 3568, 519, 674, 6185, 269, 24381, 823, 15872, 585, 476, 1960, 273, 543, 3670, 717, 858, 867, 15872, 540, 476, 1960, 275, 269, 634, 24381, 823, 15872, 1459, 519, 1101, 2272, 540, 24381, 823, 607, 606, 6196, 11620, 3705, 614, 269, 634, 15872, 593, 8055, 13404, 2390, 1010, 24396, 4690, 607, 606, 3705, 614, 540, 519, 6426, 267, 607, 1134, 607, 519, 1101, 2272, 1759, 593, 10002, 21242, 1570, 540, 8055, 781, 2534, 607, 513, 840, 12329, 269, 1703, 568, 849, 513, 2673, 7634, 540, 8055, 781, 6402, 609, 5125, 267, 543, 519, 3310, 2390, 1864, 540, 9400, 681, 6139, 568, 11567, 538, 930, 1469, 585, 519, 1101, 942, 269, 2290, 540, 519, 6663, 540, 519, 1433, 568, 547, 1397, 875, 267, 538, 741, 1114, 2081, 267, 24381, 823, 543, 8055, 6836, 547, 9305, 519, 6196, 11620, 547, 519, 1079, 1114, 5712, 540, 16972, 6628, 538, 799, 789, 5030, 269, 634, 1433, 849, 568, 5497, 607, 513, 2417, 9295, 547, 938, 1702, 540, 519, 1686, 540, 13400, 9880, 538, 6628, 563, 5475, 11516, 4221, 519, 1686, 540, 2413, 9880, 267, 713, 960, 12116, 519, 6580, 540, 1715, 11620, 2835, 543, 741, 2553, 540, 13400, 11239, 267, 6754, 781, 5692, 547, 8050, 267, 519, 8367, 540, 1412, 4883, 12510, 262, 19980, 4301, 15554, 788, 15572, 320, 267, 543, 519, 946, 540, 840, 11526, 5389, 538, 6754, 781, 13171, 1108, 563, 1103, 2696, 543, 3047, 569, 5295, 808, 269, 717, 269, 5062, 3519, 6807, 15109, 519, 2470, 540, 1480, 1379, 538, 519, 1769, 540, 3661, 538, 2696, 269, 634, 6426, 267, 543, 2523, 519, 6196, 11620, 267, 568, 4143, 547, 519, 2243, 267, 711, 2547, 1317, 11994, 827, 519, 946, 540, 1379, 538, 6935, 547, 2696, 616, 1419, 6508, 7157, 610, 27235, 689, 621, 269, 901, 1433, 3976, 6663, 547, 2232, 513, 1158, 538, 799, 2696, 781, 1379, 568, 1419, 1045, 12097, 267, 689, 3833, 1114, 20453, 267, 538, 1931, 547, 17854, 2797, 543, 4108, 2962, 269, 5062, 3519, 6807, 781, 7664, 540, 519, 6196, 11620, 6212, 593, 1546, 17458, 16860, 543, 519, 2239, 538, 799, 621, 568, 1305, 267, 1317, 891, 616, 2523, 4829, 995, 585, 2797, 3206, 269, 3571, 2013, 568, 11130, 585, 1312, 608, 1122, 13443, 543, 538, 6935, 547, 519, 4890, 946, 540, 519, 6196, 11620, 538, 519, 1686, 540, 2797, 2219, 269, 5062, 3519, 6807, 781, 4295, 4661, 568, 602, 10143, 1379, 267, 25358, 998, 22560, 267, 2164, 538, 1480, 5191, 543, 513, 23626, 585, 519, 2797, 5539, 540, 4961, 269, 11569, 267, 621, 568, 1256, 519, 1655, 10018, 540, 891, 269, 4586, 300, 833, 670, 592, 1889, 814, 1044, 4974, 2916, 1689, 585, 936, 13977, 1296, 543, 568, 2221, 835, 540, 519, 1034, 10058, 543, 2369, 529, 762, 9739, 6340, 18368, 827, 2916, 1689, 538, 519, 30028, 267, 538, 1857, 543, 538, 519, 2923, 269, 634, 4661, 602, 646, 814, 1500, 1379, 2685, 936, 519, 2063, 1906, 1296, 568, 602, 2916, 1689, 814, 547, 581, 6956, 607, 1454, 607, 606, 2856, 13883, 538, 1114, 2686, 8658, 607, 621, 568, 607, 513, 2168, 7613, 547, 581, 6594, 998, 8471, 3621, 2853, 269, 8693, 1689, 693, 922, 4295, 5088, 806, 1312, 2257, 543, 2486, 267, 1312, 1702, 543, 2528, 269, 670, 592, 1889, 779, 3875, 4081, 543, 2442, 12591, 723, 8268, 1018, 713, 5133, 1797, 585, 519, 1114, 2081, 2916, 1689, 568, 6594, 267, 1936, 730, 267, 11130, 936, 543, 19500, 2390, 269, 10289, 8693, 7827, 998, 3163, 543, 538, 5980, 5531, 338, 1927, 585, 519, 1101, 942, 513, 4015, 540, 1010, 1034, 2442, 267, 7986, 543, 11786, 4930, 267, 3594, 267, 18531, 267, 11042, 543, 8039, 6580, 1394, 547, 519, 3735, 476, 2735, 271, 338, 269, 634, 476, 2004, 610, 865, 2110, 3688, 616, 19882, 1927, 538, 5722, 4798, 910, 3163, 267, 3194, 532, 267, 9177, 267, 8889, 267, 4004, 21899, 267, 2552, 7337, 344, 267, 28358, 999, 910, 543, 1369, 1142, 6249, 616, 11231, 12225, 10999, 547, 7866, 4657, 2093, 267, 2963, 543, 5380, 827, 2916, 1689, 269, 3962, 873, 539, 3296, 568, 28263, 609, 513, 5618, 4367, 267, 5373, 856, 519, 1292, 2152, 8947, 269, 8422, 6086, 633, 10002, 21242, 1007, 3594, 723, 1044, 16887, 2854, 585, 519, 1433, 267, 1519, 835, 10452, 593, 519, 9371, 540, 8693, 22017, 269, 570, 2586, 607, 513, 4015, 267, 891, 12591, 7866, 519, 2242, 538, 3621, 543, 1857, 24300, 540, 2916, 1689, 2094, 519, 3735, 476, 2735, 271, 338, 267, 607, 18195, 539, 998, 519, 2247, 543, 4082, 540, 835, 3056, 4081, 543, 1857, 6085, 1807, 269, 634, 4015, 2982, 519, 1082, 1114, 2081, 538, 799, 621, 568, 2556, 547, 1935, 519, 2856, 540, 2916, 1689, 547, 4612, 543, 1118, 2631, 540, 519, 28836, 543, 1167, 867, 656, 9739, 605, 8010, 532, 621, 538, 519, 1857, 12106, 563, 24375, 940, 16172, 1310, 4077, 12661, 27158, 781, 2669, 538, 476, 279, 1691, 267, 519, 11317, 540, 1010, 3140, 10504, 6743, 1394, 2390, 1010, 12081, 543, 4718, 538, 621, 606, 12013, 541, 540, 4168, 5203, 1275, 910, 2441, 754, 558, 269, 1358, 25528, 4207, 2441, 754, 558, 5196, 519, 2250, 543, 865, 267, 1282, 519, 27630, 267, 20870, 267, 543, 1605, 22770, 5553, 267, 519, 10665, 540, 1010, 10504, 8057, 609, 1142, 1427, 2454, 267, 3592, 2141, 1519, 519, 4168, 5101, 269, 4014, 519, 7485, 540, 13243, 593, 519, 4639, 4667, 547, 723, 1044, 2178, 1282, 519, 1605, 22770, 2540, 267, 621, 1185, 513, 811, 3908, 1198, 593, 519, 4077, 12661, 27158, 10828, 269, 5502, 267, 519, 10828, 8057, 1282, 713, 1974, 1317, 540, 513, 15116, 12760, 540, 2093, 267, 5645, 4464, 689, 519, 27630, 2540, 855, 22012, 998, 519, 1514, 267, 2686, 267, 543, 7214, 7835, 540, 519, 18060, 532, 1296, 269, 21537, 2135, 1227, 267, 4077, 12661, 27158, 2968, 1447, 1271, 547, 519, 4077, 12661, 27158, 10828, 269, 634, 10828, 2968, 513, 1650, 827, 519, 7671, 880, 1004, 267, 945, 5156, 789, 1185, 4371, 2696, 781, 12797, 896, 4077, 12661, 27158, 543, 4371, 856, 4126, 602, 789, 1223, 835, 1554, 29379, 741, 2027, 1747, 538, 10723, 1686, 269, 11569, 267, 2442, 8747, 540, 519, 7831, 14890, 10828, 267, 799, 12038, 540, 513, 1390, 14610, 945, 1131, 22653, 924, 2441, 754, 558, 538, 7041, 585, 519, 2063, 6370, 1063, 1434, 543, 9409, 267, 16219, 1175, 713, 547, 519, 2605, 3471, 269, 14313, 540, 10504, 267, 3961, 267, 543, 4168, 3909, 5208, 941, 14984, 556, 698, 757, 269, 634, 7848, 540, 891, 2093, 1223, 7618, 2367, 540, 741, 7671, 880, 1145, 543, 1847, 873, 267, 585, 1383, 267, 547, 1491, 909, 7916, 267, 15292, 547, 519, 5101, 267, 543, 29379, 741, 1747, 607, 9718, 619, 540, 519, 5132, 1282, 519, 3689, 12724, 1228, 269, 1323, 7276, 540, 15350, 3096, 519, 10828, 540, 4077, 12661, 27158, 267, 606, 1419, 27492, 331, 10541, 1699, 538, 2038, 10120, 2219, 267, 547, 1413, 693, 875, 519, 32725, 540, 519, 2078, 1063, 5101, 543, 4639, 6410, 2066, 5553, 267, 3226, 538, 519, 1974, 3056, 909, 547, 519, 3689, 12724, 1228, 269, 0, 763, 15544, 585, 8376, 6513, 543, 10644, 29808, 602, 1004, 609, 2790, 4576, 666, 1995, 4160, 267, 4965, 543, 824, 7099, 4713, 950, 2921, 606, 4550, 12845, 3806, 3075 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3546, 1820, 6600, 257, 8001, 630, 1998, 281, 346, 8001, 22183, 9574, 323, 3704, 281, 346, 8001, 6155, 3704, 16585, 25341, 1007, 681, 20846, 1126, 14307, 1439, 284, 3269, 994, 2018, 1820, 6600, 257, 263, 1998, 281, 346, 1998, 9574, 323, 3704, 281, 346, 323, 3704, 16585, 15419, 825, 1219, 1007, 318, 3847, 15220, 843, 4311, 267, 1130, 2187, 1038, 1582, 16000, 815, 23030, 21698, 263, 1998, 284, 1998, 267, 3178, 284, 1345, 6155, 3704, 266, 272, 267, 10066, 15871, 272, 267, 2385, 284, 1345, 267, 3181, 1872, 284, 1345, 19709, 30132, 994, 1038, 2132, 1582, 16000, 692, 825, 1219, 1007, 318, 2431, 15220, 843, 4311, 267, 1130, 2187, 1038, 1582, 16192, 815, 23030, 21698, 263, 1998, 284, 1998, 267, 3178, 284, 1345, 6155, 3704, 266, 272, 267, 10066, 284, 272, 267, 2385, 284, 1345, 267, 3181, 1872, 284, 1345, 19709, 30132, 994, 1038, 2132, 1582, 16192, 7531, 3698, 1820, 4671, 872, 20172, 267, 1130, 6889, 1998, 2580, 2451, 6889, 3847, 2580, 1318, 6889, 2431, 257, 2187, 825, 8173, 825, 4179, 2517, 23637, 1478, 6503, 2593, 21669, 270, 4792, 279, 4792, 279, 1839, 270, 14056, 277, 866, 1240, 454, 825, 8173, 825, 1219, 4159, 20172, 267, 1130, 284, 1998, 267, 2451, 284, 3847, 267, 1318, 284, 2431, 2187, 1038, 5727, 14303, 5281, 1592, 540, 12673, 267, 8700, 267, 4463, 267, 543, 8880, 11282, 540, 519, 3597, 27969, 454, 1038, 1948, 3143, 1126, 563, 1038, 952, 1205, 3430, 337, 20172, 267, 1318, 264, 568, 7183, 543, 1205, 3430, 337, 20172, 267, 2451, 264, 568, 7183, 912, 2018, 1899, 815, 1412, 260, 338, 262, 4939, 1205, 3430, 337, 20172, 267, 1130, 994, 2018, 8700, 815, 7003, 263, 1467, 994, 2018, 4463, 815, 476, 272, 454, 2018, 1647, 815, 8700, 12262, 476, 273, 454, 2018, 2132, 1496, 1467, 3910, 8700, 267, 4463, 267, 1647, 692, 1038, 1948, 8307, 2451, 1126, 563, 1038, 952, 1205, 3430, 337, 20172, 267, 1318, 264, 568, 7183, 912, 2018, 3515, 267, 562, 267, 533, 267, 1535, 815, 4159, 263, 1326, 3430, 337, 20172, 267, 2451, 4917, 2018, 521, 815, 1412, 260, 338, 262, 4939, 1205, 3430, 337, 20172, 267, 1130, 994, 2018, 579, 815, 7003, 4433, 994, 2018, 1101, 318, 1467, 815, 630, 343, 1341, 476, 272, 264, 2608, 1412, 1412, 1341, 630, 333, 910, 1535, 910, 476, 272, 264, 2608, 1412, 318, 262, 1341, 521, 454, 2018, 2034, 318, 1467, 815, 1535, 2608, 1412, 1412, 1341, 26230, 1341, 630, 333, 910, 1535, 910, 476, 272, 1341, 579, 264, 2608, 1412, 1412, 454, 2018, 17146, 318, 6050, 815, 1496, 1467, 1341, 579, 2608, 1412, 1412, 585, 1899, 538, 3515, 2639, 2018, 2132, 1496, 14140, 318, 1467, 267, 2034, 318, 1467, 316, 1341, 17146, 318, 6050, 267, 562, 1341, 579, 267, 533, 1341, 476, 273, 267, 562, 1341, 579, 12262, 476, 273, 692, 1038, 1948, 8307, 1318, 1126, 563, 1038, 952, 1205, 3430, 337, 20172, 267, 2451, 264, 568, 7183, 912, 2018, 3515, 267, 562, 267, 533, 267, 1535, 815, 4159, 263, 1326, 3430, 337, 20172, 267, 1318, 4917, 2018, 521, 815, 1412, 260, 338, 262, 4939, 1205, 3430, 337, 20172, 267, 1130, 994, 2018, 579, 815, 7003, 4433, 994, 2018, 1101, 318, 1467, 815, 521, 1341, 1535, 2608, 1412, 318, 262, 1341, 630, 333, 910, 1535, 264, 2608, 1412, 1412, 454, 2018, 2034, 318, 1467, 815, 630, 340, 1341, 1535, 264, 2608, 1412, 1412, 1341, 1412, 11138, 262, 1341, 630, 333, 910, 1535, 910, 476, 272, 264, 2608, 1412, 1412, 454, 2018, 17146, 318, 6050, 815, 1496, 340, 2608, 1412, 1412, 1341, 1899, 585, 1899, 538, 3515, 2639, 2018, 2132, 1496, 14140, 318, 1467, 267, 2034, 318, 1467, 316, 1341, 17146, 318, 6050, 267, 562, 1341, 579, 267, 533, 1341, 476, 273, 267, 579, 12262, 476, 273, 692, 1038, 1948, 5565, 1453, 563, 1038, 2451, 267, 562, 267, 533, 267, 1535, 815, 4159, 263, 1326, 3430, 337, 20172, 267, 2451, 4917, 1038, 1318, 267, 544, 267, 7117, 267, 586, 815, 4159, 263, 1326, 3430, 337, 20172, 267, 1318, 4917, 1038, 521, 815, 1412, 260, 338, 262, 4939, 1205, 3430, 337, 20172, 267, 1130, 994, 1038, 579, 815, 7003, 4433, 994, 1038, 1101, 318, 1467, 815, 630, 343, 1341, 476, 272, 264, 2608, 1412, 1412, 1341, 630, 333, 910, 1535, 910, 476, 272, 264, 2608, 1412, 318, 262, 1341, 521, 1341, 586, 2608, 1412, 318, 262, 1341, 630, 332, 910, 586, 264, 2608, 1412, 1412, 454, 1038, 2034, 318, 1467, 815, 1535, 2608, 1412, 1412, 1341, 26230, 1341, 630, 333, 910, 1535, 910, 476, 272, 1341, 579, 1341, 586, 264, 2608, 1412, 1412, 1341, 1412, 11138, 262, 1341, 630, 332, 910, 586, 910, 476, 272, 264, 2608, 1412, 1412, 454, 1038, 952, 533, 2999, 7117, 912, 2018, 2451, 6834, 1496, 333, 2608, 1412, 1412, 316, 2608, 630, 336, 910, 533, 994, 1038, 8640, 7117, 2999, 533, 912, 2018, 1318, 6834, 1496, 332, 2608, 1412, 1412, 316, 2608, 630, 335, 910, 7117, 994, 1038, 1990, 5792, 318, 6050, 815, 23407, 263, 3847, 267, 1318, 994, 1038, 3515, 815, 1496, 14140, 318, 1467, 267, 2034, 318, 1467, 316, 1341, 1496, 320, 1341, 579, 2608, 1412, 1412, 1341, 536, 585, 513, 267, 536, 538, 1990, 5792, 318, 6050, 2639, 1038, 2132, 3515, 267, 562, 1341, 544, 1341, 579, 267, 3193, 9638, 267, 7117, 264, 1341, 476, 273, 267, 562, 1341, 579, 12262, 476, 273, 692, 825, 3515, 267, 2608, 318, 815, 4159, 20172, 267, 1130, 267, 2451, 267, 1318, 994, 825, 585, 1899, 538, 3515, 912, 1038, 1820, 263, 1467, 9239, 3698, 1628, 4671, 872, 263, 8161, 525, 267, 3181, 1872, 25716, 2187, 825, 8173, 825, 1377, 19195, 21767, 1210, 5595, 25804, 20313, 454, 825, 8173, 825, 562, 16229, 7272, 4202, 815, 7003, 263, 8161, 525, 994, 825, 952, 3181, 1872, 912, 1038, 1820, 6600, 257, 315, 339, 734, 285, 3529, 814, 2715, 333, 16229, 7272, 4202, 348, 1126, 268, 8161, 8424, 25341, 10790, 311, 540, 2715, 273, 265, 333, 16229, 7272, 4202, 1341, 476, 272, 348, 9136, 2009, 630, 10175, 21614, 5588, 264, 5602, 1038, 1820, 6600, 257, 289, 308, 6579, 291, 5058, 570, 12767, 29389, 2020, 825, 3597, 815, 7183, 454, 825, 952, 562, 16229, 7272, 4202, 3436, 476, 271, 912, 1038, 9136, 7272, 2056, 318, 28255, 815, 11713, 1038, 3597, 815, 23030, 21698, 263, 1998, 284, 272, 267, 3181, 1872, 284, 1372, 30132, 994, 1038, 9136, 7272, 2056, 318, 28255, 27044, 263, 271, 267, 3597, 994, 1038, 1247, 7003, 263, 8161, 525, 264, 3436, 476, 271, 912, 2018, 533, 815, 9136, 7272, 2056, 318, 28255, 21014, 4590, 2018, 642, 9078, 267, 642, 24417, 815, 30455, 21014, 263, 271, 994, 2018, 952, 642, 9078, 11203, 910, 272, 912, 3546, 9136, 7272, 2056, 318, 28255, 27044, 263, 271, 267, 533, 269, 2908, 318, 3847, 15220, 843, 17635, 9078, 4917, 2018, 952, 642, 24417, 11203, 910, 272, 912, 3546, 9136, 7272, 2056, 318, 28255, 27044, 263, 271, 267, 533, 269, 2908, 318, 2431, 15220, 843, 17635, 24417, 11723, 825, 952, 3181, 1872, 912, 1038, 1820, 6600, 257, 289, 308, 6579, 307, 570, 12767, 281, 5602, 1038, 1820, 4671, 872, 20172, 994, 1038, 1820, 10797, 825, 2132, 3597, 7531, 3698, 23396, 15220, 10242, 17347, 16911, 2187, 825, 533, 815, 737, 16911, 9131, 335, 23300, 825, 546, 815, 737, 16911, 9131, 323, 23300, 825, 3181, 1872, 815, 737, 16911, 9131, 1372, 30132, 262, 6540, 825, 7117, 815, 737, 16911, 9131, 638, 2044, 262, 6540, 825, 2451, 15220, 843, 815, 533, 16000, 454, 825, 1318, 15220, 843, 815, 533, 16192, 692, 825, 952, 630, 3847, 15220, 843, 568, 711, 7183, 610, 1318, 15220, 843, 568, 711, 7183, 264, 543, 630, 335, 6155, 3704, 266, 272, 264, 4939, 7117, 2652, 476, 271, 912, 1038, 952, 3181, 1872, 912, 2018, 952, 533, 269, 528, 1304, 566, 2652, 476, 271, 912, 3546, 1820, 6600, 257, 4629, 5588, 14307, 1439, 284, 3269, 994, 2018, 1820, 6600, 257, 27161, 630, 1998, 281, 346, 335, 22183, 9574, 323, 3704, 281, 346, 335, 6155, 3704, 16585, 14307, 1439, 284, 3269, 994, 2018, 1820, 6600, 257, 21316, 6224, 2464, 13214, 281, 1126, 3829, 2715, 335, 6155, 3704, 266, 272, 348, 4939, 2715, 336, 348, 2652, 476, 271, 281, 5602, 2018, 1820, 6600, 257, 315, 339, 14684, 4338, 700, 9128, 307, 281, 630, 346, 262, 14085, 262, 952, 2451, 15220, 843, 568, 7183, 3116, 1412, 1998, 281, 262, 266, 1598, 263, 3847, 15220, 843, 22183, 11924, 3299, 323, 3704, 281, 262, 266, 1598, 263, 3847, 15220, 843, 6155, 3704, 14587, 1070, 14307, 1439, 284, 3269, 994, 2018, 1820, 6600, 257, 305, 20846, 281, 630, 346, 262, 14085, 262, 952, 1318, 15220, 843, 568, 7183, 3116, 1412, 1998, 281, 262, 266, 1598, 263, 2431, 15220, 843, 22183, 11924, 3299, 323, 3704, 281, 262, 266, 1598, 263, 2431, 15220, 843, 6155, 3704, 14587, 264, 834, 2020, 1038, 533, 16000, 815, 1318, 15220, 843, 454, 1038, 533, 16192, 815, 2451, 15220, 843, 692, 1038, 952, 3181, 1872, 912, 2018, 1820, 6600, 257, 315, 339, 29146, 734, 285, 700, 9128, 307, 281, 630, 346, 262, 14085, 262, 952, 533, 16000, 568, 7183, 3116, 1412, 1998, 281, 262, 266, 1598, 9638, 16000, 22183, 11924, 3299, 323, 3704, 281, 262, 266, 1598, 9638, 16000, 6155, 3704, 14587, 1070, 14307, 1439, 284, 3269, 994, 2018, 1820, 6600, 257, 305, 20846, 281, 630, 346, 262, 14085, 262, 952, 533, 16192, 568, 7183, 3116, 1412, 1998, 281, 262, 266, 1598, 9638, 16192, 22183, 11924, 3299, 323, 3704, 281, 262, 266, 1598, 9638, 16192, 6155, 3704, 14587, 17983, 9239, 3698, 29906, 318, 2181, 4650, 9638, 267, 546, 284, 271, 267, 535, 333, 318, 6665, 527, 318, 8518, 2401, 284, 1873, 777, 15220, 10242, 267, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 22561, 267, 3181, 1872, 25716, 2187, 825, 952, 533, 568, 7183, 912, 1038, 2132, 692, 825, 952, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 568, 7183, 912, 1038, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 815, 31460, 825, 737, 16911, 815, 27835, 335, 9166, 335, 10086, 323, 9166, 323, 10086, 1372, 30132, 9166, 1372, 30132, 8679, 825, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 269, 26303, 17347, 16911, 994, 825, 535, 333, 318, 6665, 527, 318, 8518, 2401, 6600, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 2020, 825, 29906, 318, 2181, 4650, 18692, 1038, 533, 16000, 267, 3097, 1038, 546, 284, 323, 266, 272, 267, 3097, 1038, 535, 333, 318, 6665, 527, 318, 8518, 2401, 284, 325, 333, 318, 6665, 527, 318, 8518, 2401, 267, 3097, 1038, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 284, 325, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 267, 3097, 1038, 3181, 1872, 284, 1372, 30132, 2020, 825, 29906, 318, 2181, 4650, 18692, 1038, 533, 16192, 267, 3097, 1038, 546, 284, 323, 266, 272, 267, 3097, 1038, 535, 333, 318, 6665, 527, 318, 8518, 2401, 284, 325, 333, 318, 6665, 527, 318, 8518, 2401, 267, 3097, 1038, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 284, 325, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 267, 3097, 1038, 3181, 1872, 284, 1372, 30132, 9239, 3698, 16289, 8217, 17347, 16911, 2187, 825, 533, 815, 737, 16911, 9131, 335, 23300, 825, 546, 815, 737, 16911, 9131, 323, 23300, 825, 3181, 1872, 815, 737, 16911, 9131, 1372, 30132, 262, 6540, 825, 32102, 815, 737, 16911, 9131, 4289, 23300, 825, 32102, 6910, 9638, 22183, 994, 825, 952, 3181, 1872, 912, 1038, 1820, 6600, 257, 315, 339, 1952, 2105, 1871, 2715, 335, 22183, 348, 547, 1592, 25341, 2715, 331, 560, 348, 5602, 825, 737, 16911, 9131, 4289, 11172, 815, 32102, 7531, 3698, 29906, 18425, 4650, 9638, 267, 546, 284, 271, 267, 535, 333, 318, 6665, 527, 318, 8518, 2401, 284, 6572, 8217, 267, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 22561, 267, 3181, 1872, 25716, 2187, 825, 952, 533, 568, 7183, 912, 1038, 2132, 692, 825, 29906, 18425, 4650, 18692, 1038, 533, 16000, 267, 3097, 1038, 546, 284, 323, 266, 272, 267, 3097, 1038, 535, 333, 318, 6665, 527, 318, 8518, 2401, 284, 325, 333, 318, 6665, 527, 318, 8518, 2401, 267, 3097, 1038, 535, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 284, 325, 333, 318, 6665, 527, 318, 8518, 2401, 1029, 330, 16911, 267, 3097, 1038, 3181, 1872, 284, 1372, 30132, 2020 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 15665, 3889, 602, 723, 14016, 730, 267, 1044, 8697, 267, 610, 1831, 28572, 1813, 547, 2085, 267, 5957, 543, 15237, 267, 610, 2242, 538, 4170, 269, 1703, 616, 1585, 2409, 1031, 538, 14317, 267, 543, 538, 713, 1557, 267, 649, 786, 2263, 1614, 540, 873, 563, 272, 269, 23305, 29407, 281, 901, 1505, 3322, 519, 7816, 543, 14304, 540, 7293, 2609, 971, 607, 9587, 267, 20832, 267, 1793, 11274, 267, 543, 13210, 269, 898, 568, 1031, 547, 3986, 519, 4452, 21307, 11538, 4390, 267, 6617, 267, 543, 15006, 540, 4540, 3889, 269, 898, 568, 1419, 2556, 950, 3889, 616, 18604, 610, 8697, 1813, 547, 2188, 971, 607, 14809, 267, 20381, 2534, 267, 610, 20358, 532, 269, 2368, 1455, 2553, 1031, 585, 7293, 14317, 1331, 6405, 7816, 267, 3134, 20293, 13297, 267, 543, 10380, 540, 3606, 1489, 2609, 899, 5374, 2909, 1424, 610, 3327, 6775, 16833, 563, 3519, 4740, 7816, 568, 513, 2442, 1505, 540, 7293, 14317, 602, 3322, 9427, 8697, 610, 14016, 730, 6405, 543, 13868, 621, 609, 1007, 1570, 269, 901, 4480, 568, 1419, 1031, 547, 7816, 18015, 267, 838, 8712, 267, 610, 1642, 3133, 725, 538, 6405, 2609, 269, 6271, 1455, 1505, 267, 3134, 20293, 13297, 267, 3322, 7630, 532, 18300, 883, 18015, 547, 6125, 543, 7794, 873, 269, 901, 4480, 568, 3226, 3730, 585, 28472, 7293, 18015, 538, 6405, 2609, 971, 607, 20832, 543, 1793, 11274, 269, 14936, 267, 519, 1840, 540, 5374, 536, 2350, 902, 610, 3327, 6775, 16833, 3927, 4679, 519, 4452, 21307, 11538, 4390, 540, 7293, 2609, 267, 1818, 873, 6793, 543, 811, 14463, 563, 273, 269, 6348, 3613, 24780, 29407, 281, 6348, 3613, 24780, 14317, 6212, 593, 519, 11808, 543, 19349, 540, 1875, 2000, 1933, 24481, 2609, 971, 607, 1795, 3547, 267, 6821, 267, 19683, 267, 543, 26088, 269, 901, 1505, 568, 3335, 1031, 547, 2087, 519, 15312, 267, 10342, 267, 543, 4313, 540, 5656, 269, 898, 568, 1419, 2556, 950, 1875, 3613, 24780, 2609, 616, 8697, 1813, 547, 29056, 267, 5957, 543, 15237, 267, 610, 1374, 19518, 269, 6348, 3613, 24780, 14317, 666, 4125, 2238, 971, 607, 1065, 31021, 267, 10682, 540, 26088, 267, 28890, 532, 267, 543, 10380, 540, 1007, 26892, 543, 3514, 14005, 563, 3080, 540, 519, 1034, 1455, 1875, 3613, 24780, 14317, 2553, 568, 1065, 31021, 269, 901, 3322, 9427, 2025, 5862, 543, 7311, 513, 1007, 835, 547, 3986, 519, 5920, 543, 4027, 540, 7252, 269, 1234, 10293, 540, 26088, 267, 971, 607, 17981, 610, 15790, 1115, 267, 568, 849, 4122, 1031, 547, 2087, 519, 15312, 543, 10342, 540, 19683, 269, 4826, 16513, 532, 568, 1776, 1271, 1875, 3613, 24780, 14317, 1505, 1031, 547, 2149, 3889, 689, 1216, 3441, 269, 1715, 26892, 543, 3514, 14005, 267, 971, 607, 1648, 18026, 8654, 610, 21818, 26892, 267, 666, 849, 581, 3773, 547, 2087, 519, 10342, 543, 6940, 540, 5656, 563, 274, 269, 7025, 29407, 281, 901, 1505, 3322, 519, 11808, 543, 6454, 540, 519, 2067, 1604, 4478, 513, 2497, 269, 898, 568, 4122, 1031, 547, 11574, 519, 2942, 5222, 540, 4070, 2238, 543, 547, 3986, 519, 6940, 543, 6043, 540, 3889, 269, 7025, 14317, 2882, 2238, 971, 607, 7226, 11808, 267, 11761, 1852, 267, 543, 7088, 4248, 2359, 563, 295, 629, 18945, 11808, 568, 1031, 547, 30712, 2067, 9249, 602, 723, 1044, 10032, 610, 22841, 676, 4070, 269, 901, 666, 4125, 9544, 5065, 10664, 267, 2870, 7320, 9249, 267, 543, 19620, 1216, 4703, 269, 661, 12509, 1852, 2553, 267, 971, 607, 16459, 20808, 6821, 543, 11689, 1944, 19527, 267, 616, 1031, 547, 2061, 3037, 11761, 543, 2149, 4478, 8134, 269, 23566, 4248, 2359, 3322, 8888, 1949, 547, 4383, 519, 7274, 543, 2298, 540, 7088, 4248, 20359, 689, 513, 3135, 267, 799, 2337, 547, 2149, 1216, 4703, 543, 2569, 519, 1981, 540, 14700, 563, 1103, 3932, 267, 14317, 2409, 616, 1898, 538, 3540, 4702, 607, 789, 948, 547, 10804, 519, 14438, 267, 10342, 267, 543, 6940, 540, 3889, 269, 23305, 267, 1875, 3613, 24780, 267, 543, 2825, 14317, 616, 1614, 4122, 1031, 2409, 547, 7816, 267, 7794, 267, 543, 3986, 4540, 454, 1103, 3932, 267, 1620, 519, 1761, 3123, 540, 6405, 12718, 1449, 14543, 693, 476, 2764, 2395, 666, 948, 2327, 519, 6111, 543, 10727, 540, 1449, 2164, 269, 3245, 2188, 971, 607, 16789, 19494, 7041, 543, 7829, 547, 2152, 609, 27955, 543, 4152, 5773, 267, 621, 568, 1271, 585, 8030, 543, 23390, 547, 5402, 4983, 1142, 1900, 540, 519, 1184, 269, 1635, 7114, 543, 5466, 891, 1761, 25354, 267, 519, 10727, 540, 1449, 2164, 666, 581, 4824, 267, 6038, 3056, 547, 6793, 543, 811, 14463, 6405, 3889, 269, 7743, 2866, 543, 15984, 547, 2872, 4441, 543, 1655, 2853, 616, 4105, 538, 4180, 602, 476, 2764, 6377, 6405, 12718, 4255, 8308, 2992, 519, 3020, 4222, 540, 519, 6405, 269, 2060, 713, 1702, 543, 4656, 267, 4070, 4648, 666, 960, 2509, 1732, 2298, 1852, 543, 1628, 811, 14388, 3889, 585, 519, 2104, 269, 0, 27852, 3106, 543, 3959, 4027, 616, 2629, 3344, 538, 4180, 519, 3106, 543, 3354, 540, 1022, 2679, 269, 2060, 519, 2810, 1297, 540, 5010, 543, 10821, 3889, 1373, 9112, 267, 621, 568, 1898, 547, 723, 2500, 3595, 3106, 543, 3959, 4027, 1949, 538, 1747, 269, 1452, 1949, 711, 1152, 2061, 519, 3262, 540, 3595, 855, 849, 2149, 3407, 7221, 543, 28378, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1585, 2010, 540, 3595, 3106, 543, 3959, 4027, 1949, 2139, 585, 5656, 543, 875, 789, 948, 538, 7303, 543, 10893, 3595, 5829, 14796, 269, 3958, 267, 649, 786, 849, 1865, 519, 2956, 540, 2834, 5826, 543, 10220, 609, 3595, 3106, 6042, 547, 2327, 519, 5207, 1377, 540, 4027, 585, 5656, 543, 741, 31269, 563, 8368, 540, 12937, 454, 27735, 540, 9605, 8881, 543, 16296, 10466, 7010, 585, 29844, 454, 27852, 3106, 543, 3959, 4027, 1949, 616, 1898, 3334, 538, 519, 1374, 543, 4070, 540, 1022, 2679, 269, 1452, 1949, 1404, 513, 2629, 1909, 538, 17420, 519, 31269, 543, 519, 3959, 689, 1761, 3595, 10898, 269, 2060, 519, 2810, 1297, 540, 3595, 13685, 538, 5656, 267, 621, 814, 1831, 16122, 547, 4225, 3595, 3106, 3800, 547, 2061, 2530, 540, 1272, 543, 3441, 547, 3959, 563, 763, 19466, 2956, 540, 3595, 3106, 1949, 568, 519, 4027, 540, 1480, 1272, 269, 769, 519, 2680, 540, 513, 3595, 267, 891, 1949, 616, 2966, 547, 3713, 543, 16401, 519, 3595, 693, 922, 2038, 5933, 267, 4758, 519, 31269, 2614, 942, 547, 17355, 10663, 9108, 269, 901, 568, 2523, 2565, 538, 1164, 8573, 1047, 5656, 1141, 519, 27549, 1184, 666, 581, 4101, 543, 942, 21791, 269, 9605, 32302, 267, 8673, 22572, 267, 13128, 20057, 2401, 1949, 267, 543, 824, 3595, 21109, 1949, 616, 519, 1101, 1899, 540, 8878, 538, 7863, 1004, 689, 3595, 5829, 7063, 543, 2669, 563, 11101, 267, 3595, 3106, 1949, 849, 1404, 513, 2629, 1909, 538, 7863, 3959, 269, 674, 2231, 666, 2014, 1713, 3441, 547, 513, 2679, 267, 4611, 538, 5458, 2883, 9271, 269, 9605, 21109, 1949, 971, 607, 20057, 2401, 1949, 666, 1852, 543, 16401, 519, 3262, 540, 3595, 267, 10893, 3959, 3441, 269, 1452, 1949, 616, 2966, 547, 5305, 1216, 610, 824, 3595, 29472, 656, 2326, 538, 519, 4299, 2127, 267, 7303, 519, 3595, 689, 10825, 547, 824, 2694, 540, 519, 2679, 269, 901, 666, 3648, 2569, 519, 1942, 540, 7816, 543, 16646, 538, 519, 21987, 540, 513, 3595, 10071, 563, 5194, 4105, 2460, 540, 3595, 3106, 543, 3959, 4027, 1949, 568, 519, 6604, 540, 3595, 269, 1452, 1949, 616, 2966, 547, 3713, 1761, 3595, 10898, 543, 2061, 873, 689, 9648, 269, 9605, 1981, 4879, 543, 2834, 5826, 543, 4152, 540, 3595, 3106, 1949, 666, 948, 2697, 543, 2232, 1022, 1761, 3595, 10898, 538, 513, 2679, 267, 10893, 519, 1981, 540, 3595, 13685, 269, 901, 14942, 1935, 547, 3595, 3106, 666, 948, 2061, 1761, 9271, 543, 21463, 538, 519, 5106, 540, 513, 2679, 563, 2026, 728, 689, 519, 7525, 2640, 540, 3595, 3106, 543, 3959, 4027, 1949, 267, 2348, 513, 1134, 27059, 543, 8647, 1062, 666, 849, 723, 1279, 3856, 2640, 269, 29844, 602, 723, 7850, 3595, 3106, 3800, 538, 1747, 616, 811, 10694, 547, 1761, 31269, 543, 9520, 269, 589, 3102, 3595, 3106, 1062, 2982, 602, 519, 2679, 568, 1134, 31720, 22633, 267, 543, 519, 3106, 540, 922, 31269, 568, 513, 10862, 269, 901, 666, 1291, 547, 2799, 3959, 1871, 543, 1732, 10639, 585, 519, 2679, 8227, 563, 1103, 3932, 267, 3595, 3106, 543, 3959, 4027, 1949, 616, 2629, 3344, 540, 2679, 1374, 543, 4070, 269, 1452, 1949, 1683, 1272, 22766, 3800, 585, 31269, 267, 7413, 3959, 3441, 267, 543, 2061, 1761, 3595, 10898, 269, 898, 568, 1898, 585, 2679, 5411, 543, 9367, 547, 4225, 3595, 3106, 538, 741, 3785, 547, 2327, 519, 3106, 540, 741, 31269, 543, 2149, 741, 3959, 563, 27852, 8881, 543, 16296, 10466, 7010, 585, 29844, 454, 27852, 3106, 568, 513, 2565, 2460, 540, 2679, 1374, 543, 4070, 602, 6663, 547, 2061, 267, 1852, 267, 543, 11574, 519, 14042, 2360, 540, 3595, 593, 1004, 267, 3959, 267, 543, 519, 1604, 269, 1306, 513, 3540, 11653, 267, 621, 568, 2629, 547, 1174, 519, 1585, 3595, 3106, 543, 3959, 4027, 1949, 602, 666, 581, 11368, 883, 5656, 547, 2327, 741, 3106, 543, 2149, 519, 2729, 540, 922, 31269, 563, 27852, 3106, 543, 3959, 4027, 1949, 538, 5656, 1331, 3800, 602, 2832, 547, 2061, 11642, 689, 9648, 610, 10825, 267, 2038, 7020, 267, 543, 9963, 1949, 547, 10332, 31269, 267, 543, 21109, 1949, 547, 1852, 610, 24773, 880, 11642, 563, 3080, 540, 519, 3119, 2081, 547, 2061, 11642, 538, 5656, 568, 676, 7598, 1697, 2679, 1374, 543, 4070, 2553, 269, 901, 2882, 1210, 3595, 15033, 2326, 585, 4070, 267, 7850, 19437, 1063, 5656, 267, 543, 6220, 3595, 7496, 543, 735, 25902, 547, 6615, 519, 3262, 540, 3595, 269, 9605, 15033, 9885, 267, 9486, 267, 543, 6821, 666, 849, 2061, 519, 3262, 540, 3595, 543, 8673, 1063, 1114, 2127, 540, 513, 2679, 563, 5194, 2629, 2460, 540, 3595, 3106, 568, 2038, 7020, 543, 9963, 1949, 269, 901, 3322, 16459, 8673, 22572, 267, 3002, 22572, 267, 543, 3595, 32302, 2429, 519, 2679, 267, 799, 666, 3713, 519, 4527, 540, 3595, 543, 10332, 31269, 547, 17355, 10663, 269, 1452, 1949, 1058, 581, 5781, 7318, 543, 9738, 547, 2327, 789, 616, 6198, 538, 2013, 540, 606, 6595, 563, 1103, 519, 2680, 540, 513, 3595, 267, 621, 568, 1898, 547, 723, 1697, 21109, 1949, 538, 1747, 269, 901, 666, 1331, 13128, 20057, 2401, 1949, 267, 3595, 24773, 29913, 267, 543, 3595, 3289, 7847, 269, 1452, 1949, 666, 3533, 16401, 610, 24773, 880, 519, 3595, 267, 7303, 621, 689, 10825, 543, 10893, 3441, 547, 519, 2679, 563, 19187, 9101, 11507, 543, 6595, 608, 1080, 1058, 849, 581, 513, 851, 540, 519, 2679, 1374, 547, 5351, 538, 519, 2922, 27549, 540, 31269, 1282, 513, 3595, 269, 1452, 11507, 1058, 581, 5693, 6825, 543, 796, 984, 560, 1192, 539, 547, 2327, 513, 2656, 543, 2922, 27549, 563, 1103, 1840, 547, 891, 1949, 267, 621, 568, 2629, 547, 723, 2834, 3595, 3106, 24422, 543, 5826, 540, 782, 3595, 3106, 3937, 543, 1949, 269, 901, 5849, 602, 789, 616, 538, 1697, 2324, 2783, 543, 666, 3927, 2149, 519, 2679, 543, 922, 31269, 563, 30509, 689, 3595, 3106, 267, 7863, 519, 3959, 543, 922, 9115, 568, 849, 1898, 269, 901, 666, 581, 6913, 676, 16459, 3595, 15033, 1760, 525, 543, 29256, 338, 585, 2565, 6054, 267, 16459, 3595, 16513, 19970, 1115, 267, 543, 5329, 1166, 30100, 2326, 538, 11280, 4859, 2127, 563, 1103, 3932, 267, 607, 513, 3540, 11653, 267, 621, 568, 2629, 547, 6451, 3595, 3106, 543, 3959, 4027, 1949, 883, 2679, 6272, 547, 2327, 519, 3106, 540, 922, 31269, 543, 7413, 519, 1981, 540, 3595, 5829, 14796, 269, 1635, 1739, 2679, 9479, 543, 6042, 267, 9001, 3595, 15033, 2326, 543, 1949, 267, 543, 10647, 2834, 5826, 267, 5656, 666, 581, 1732, 9280, 547, 2061, 267, 1852, 267, 543, 11574, 519, 2360, 540, 3595, 563, 19187, 1399, 10466, 7010, 585, 29844, 454, 19187, 1399, 4027, 1949, 585, 5656, 3277, 547, 519, 1585, 3800, 543, 1949, 2322, 538, 1747, 547, 16102, 513, 2679, 543, 922, 9115, 689, 3441, 610, 2530, 1813, 547, 2067, 12469, 267, 10913, 267, 610, 18532, 2800, 269, 1452, 1949, 616, 2629, 538, 4180, 519, 3106, 543, 15325, 540, 513, 2679, 267, 607, 1134, 607, 7863, 519, 9541, 543, 7221, 540, 519, 2679, 5411, 563, 2467, 616, 1896, 2010, 540, 3959, 4027, 1949 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10521, 4054, 1923, 10326, 1650, 454, 288, 838, 5535, 18389, 1229, 554, 2416, 543, 555, 2416, 1510, 513, 1747, 547, 3251, 269, 2991, 2469, 585, 930, 3845, 519, 838, 5535, 4718, 513, 5757, 4871, 269, 22628, 1079, 4054, 7555, 2282, 519, 5757, 267, 519, 838, 5535, 4682, 547, 519, 1101, 3529, 543, 1767, 267, 968, 21698, 256, 2904, 594, 9566, 538, 707, 7936, 9495, 4280, 519, 6177, 269, 634, 3529, 1767, 968, 7224, 9731, 763, 838, 5535, 8909, 569, 4280, 519, 2034, 3529, 267, 968, 21698, 949, 594, 1964, 538, 707, 7936, 1848, 1656, 519, 2034, 3529, 1767, 267, 968, 11039, 267, 596, 666, 9566, 548, 538, 1250, 7936, 543, 3251, 1848, 17963, 5293, 543, 519, 838, 5535, 3710, 513, 9566, 593, 519, 7936, 540, 519, 2034, 3529, 543, 9788, 5798, 543, 519, 32138, 11058, 3481, 563, 763, 3993, 838, 5535, 5030, 25747, 609, 1200, 32138, 269, 3973, 835, 1554, 621, 3323, 986, 1456, 8185, 269, 634, 2842, 729, 25738, 2182, 269, 9603, 547, 2178, 2842, 543, 5230, 4764, 267, 519, 1101, 3529, 909, 549, 6838, 543, 8593, 883, 519, 5757, 563, 8450, 532, 602, 1101, 3529, 9991, 1524, 267, 519, 838, 5535, 4682, 547, 519, 3529, 543, 1767, 267, 968, 296, 4280, 596, 602, 2052, 594, 3251, 593, 707, 7936, 543, 596, 4769, 1406, 1450, 803, 547, 3251, 593, 707, 7936, 267, 723, 596, 2938, 707, 3510, 1631, 286, 596, 616, 14084, 1524, 538, 519, 5757, 899, 713, 609, 713, 4764, 543, 2842, 892, 1767, 519, 6177, 543, 561, 13774, 1117, 563, 763, 3529, 1767, 267, 968, 296, 917, 1250, 3510, 1360, 1134, 269, 594, 1705, 711, 1450, 596, 547, 3251, 593, 1250, 7936, 267, 6616, 602, 952, 621, 22856, 594, 786, 581, 909, 549, 6838, 269, 1403, 594, 1185, 5143, 596, 547, 9566, 593, 1250, 7936, 267, 2221, 596, 543, 707, 32138, 1131, 723, 15468, 883, 713, 5757, 543, 5747, 1848, 24651, 713, 267, 519, 838, 5535, 23294, 2213, 547, 519, 3529, 563, 763, 3529, 1767, 547, 519, 6177, 267, 968, 3086, 596, 666, 2661, 25747, 609, 707, 32138, 1510, 1022, 8594, 3034, 300, 7394, 281, 6884, 519, 948, 649, 1810, 1406, 1205, 666, 581, 585, 938, 1378, 1434, 269, 0, 301, 22022, 3368, 540, 17013, 1810, 1406, 917, 1141, 547, 1376, 950, 621, 2501, 547, 8937, 1134, 5630, 563, 10527, 2164, 1489, 2069, 607, 513, 2009, 28627, 585, 4227, 519, 1981, 540, 8937, 4713, 4799, 12867, 8947, 1239, 689, 5176, 476, 274, 267, 4335, 772, 2529, 269, 1164, 30595, 563, 12867, 9916, 519, 1973, 1291, 2157, 540, 1453, 896, 476, 277, 26188, 6040, 936, 513, 476, 1015, 4458, 1974, 267, 689, 476, 1001, 272, 547, 476, 1708, 271, 563, 12867, 9333, 809, 1614, 2090, 17364, 1896, 6080, 538, 519, 772, 2529, 563, 1103, 4255, 267, 519, 3926, 4857, 26601, 5028, 543, 824, 5312, 3676, 563, 10521, 538, 1614, 4587, 4892, 10093, 1406, 1044, 547, 519, 4387, 538, 936, 513, 1032, 563, 763, 3328, 1977, 6238, 711, 6005, 519, 4191, 540, 10172, 693, 2085, 476, 5655, 563, 22154, 813, 2337, 3391, 8902, 5615, 4799, 7021, 476, 3583, 260, 3494, 519, 6855, 814, 6026, 873, 547, 581, 811, 2616, 656, 540, 741, 1072, 269, 0, 22897, 20895, 763, 5303, 1982, 693, 5617, 4582, 4068, 26673, 3205, 568, 2966, 547, 3895, 2565, 3206, 269, 901, 568, 12913, 998, 519, 946, 540, 1082, 1966, 6061, 267, 2319, 2324, 2238, 269, 901, 1982, 568, 513, 1590, 585, 1022, 2875, 5461, 538, 513, 4876, 5473, 2029, 267, 891, 4876, 779, 1331, 4702, 267, 1374, 267, 6189, 267, 610, 1022, 540, 519, 1585, 4070, 23194, 20136, 1576, 568, 6322, 4724, 10962, 1053, 547, 2029, 543, 1966, 6061, 269, 634, 1576, 5956, 609, 4245, 593, 6482, 543, 5373, 543, 20147, 609, 519, 1646, 540, 513, 3032, 777, 738, 543, 4212, 16154, 6174, 269, 634, 3804, 540, 891, 2238, 568, 547, 1020, 2319, 2324, 1983, 543, 1966, 6061, 1983, 20136, 1576, 786, 1491, 2035, 4121, 538, 667, 7894, 543, 4019, 891, 1482, 2093, 593, 519, 2780, 269, 4841, 10024, 713, 1576, 1590, 723, 2596, 5373, 1983, 267, 2780, 1983, 267, 543, 6128, 1983, 269, 901, 1576, 568, 2966, 585, 1053, 5461, 538, 11678, 538, 4702, 267, 6189, 267, 4070, 267, 610, 1374, 269, 634, 1053, 786, 1451, 875, 547, 2721, 24039, 267, 575, 2532, 1115, 267, 28633, 267, 7344, 3457, 267, 543, 6189, 593, 519, 2780, 269, 634, 2872, 6205, 538, 2780, 1374, 568, 1031, 538, 713, 1576, 630, 8505, 334, 21020, 476, 1220, 273, 1916, 2304, 5140, 22449, 1576, 585, 1022, 2875, 4974, 4702, 267, 1374, 267, 610, 6189, 269, 4841, 786, 581, 5189, 547, 11516, 4221, 267, 2645, 1031, 585, 7344, 26004, 267, 4484, 532, 267, 543, 10155, 532, 269, 4841, 786, 2347, 2324, 12400, 267, 3296, 532, 12400, 267, 25581, 5784, 267, 543, 3182, 3645, 12400, 269, 1280, 519, 2034, 3368, 540, 519, 1032, 1053, 786, 960, 607, 513, 2319, 538, 2516, 547, 3132, 12400, 585, 513, 1788, 267, 789, 786, 2347, 782, 2556, 12400, 585, 519, 2966, 1788, 267, 1287, 1053, 786, 1628, 519, 1788, 547, 1346, 16551, 269, 1280, 519, 2063, 851, 540, 519, 1576, 1053, 786, 581, 5189, 547, 2780, 29211, 26004, 267, 1934, 789, 786, 1451, 875, 547, 2721, 1510, 513, 15513, 563, 30706, 2219, 827, 4881, 707, 1378, 1870, 543, 6721, 707, 1378, 2472, 267, 952, 596, 723, 713, 568, 519, 1362, 547, 1491, 269, 901, 568, 513, 1390, 1362, 547, 1451, 827, 519, 3344, 540, 19007, 1141, 1053, 1376, 909, 513, 2754, 269, 634, 1101, 3368, 540, 519, 1576, 568, 6170, 8888, 267, 6721, 267, 543, 6725, 513, 1587, 269, 634, 2034, 3368, 540, 519, 1576, 568, 13991, 547, 4070, 269, 1411, 786, 581, 25009, 593, 519, 2679, 540, 5321, 543, 5656, 689, 519, 5748, 547, 519, 8122, 269, 4841, 786, 1118, 513, 4336, 2203, 540, 513, 2679, 1210, 782, 540, 519, 1697, 2553, 602, 1131, 581, 1031, 547, 1118, 513, 2407, 21092, 2497, 269, 2311, 519, 1439, 540, 519, 1576, 1053, 786, 723, 519, 4316, 547, 1628, 606, 4890, 8774, 856, 540, 476, 273, 311, 275, 779, 543, 623, 16072, 269, 634, 8561, 540, 713, 1576, 568, 547, 5721, 1053, 547, 1831, 25255, 543, 16724, 779, 711, 4070, 1212, 9749, 563, 2252, 1022, 1053, 723, 1022, 2055, 610, 4145, 3823, 519, 2029, 1982, 1934, 5225, 1745, 1863, 547, 2097, 547, 1250, 4055, 543, 2307, 803, 269, 0, 15697, 4065, 814, 1831, 519, 1034, 1898, 851, 540, 1169, 2875, 779, 1272, 543, 713, 7678, 568, 2810, 1554, 676, 1554, 269, 1717, 267, 519, 13044, 268, 866, 6855, 814, 21354, 4299, 938, 2069, 1062, 799, 814, 8297, 1441, 938, 2729, 543, 649, 616, 1500, 547, 3251, 693, 938, 5321, 22079, 528, 1176, 269, 901, 2783, 814, 7142, 721, 547, 9772, 519, 2228, 1565, 1184, 585, 938, 1453, 269, 4634, 1310, 6616, 602, 972, 616, 865, 1082, 20134, 31834, 2986, 6732, 4065, 649, 798, 711, 723, 1022, 4781, 269, 5221, 540, 524, 10604, 268, 866, 267, 782, 3872, 5238, 723, 17146, 689, 2757, 1565, 547, 2228, 1565, 563, 2467, 616, 1082, 20134, 31834, 2986, 6732, 4065, 855, 649, 1869, 723, 547, 3442, 621, 585, 519, 1732, 618, 540, 938, 1453, 269, 1306, 596, 917, 267, 2228, 1565, 568, 4625, 1114, 689, 2757, 1565, 269, 769, 2757, 13460, 267, 1053, 1031, 547, 3479, 547, 2834, 13460, 267, 543, 3237, 941, 849, 3222, 540, 519, 4567, 540, 741, 1453, 676, 11504, 2385, 779, 4116, 11401, 267, 3092, 563, 4131, 779, 1865, 519, 20134, 31834, 2986, 6732, 4065, 543, 875, 596, 666, 4308, 609, 873, 538, 519, 1034, 2500, 2081, 269, 4746, 267, 519, 4388, 602, 786, 948, 547, 2087, 707, 9344, 269, 5901, 7335, 2336, 1432, 616, 519, 20134, 31834, 2986, 6732, 4065, 888, 6524, 649, 1683, 596, 609, 519, 3070, 267, 4388, 593, 875, 596, 666, 4308, 609, 519, 20134, 31834, 2986, 6732, 4065, 269, 1411, 1058, 917, 875, 2228, 2069, 5540, 519, 2790, 543, 2168, 1072, 540, 513, 1126, 563, 11039, 267, 2228, 2069, 814, 23494, 4957, 519, 1259, 649, 1353, 269, 1635, 519, 1032, 543, 513, 3368, 814, 5293, 11504, 2228, 5049, 269, 1809, 798, 596, 917, 875, 1454, 621, 814, 12936, 519, 1072, 540, 938, 1453, 286, 3143, 256, 3973, 649, 723, 707, 2626, 269, 3367, 593, 2507, 8627, 2336, 258, 272, 269, 674, 7037, 5113, 693, 5851, 454, 10743, 1265, 741, 4313, 7997, 693, 1753, 269, 1703, 568, 513, 1134, 8153, 10839, 602, 3081, 968, 2791, 2760, 1689, 707, 1272, 2394, 596, 1900, 856, 540, 707, 4313, 7997, 282, 1689, 5956, 693, 519, 1439, 540, 707, 4313, 7997, 1848, 1879, 1453, 4682, 547, 1153, 789, 17411, 1082, 3871, 676, 2933, 269, 4746, 267, 952, 789, 1265, 1022, 1966, 538, 741, 2090, 789, 666, 849, 2170, 609, 741, 3610, 2047, 563, 7628, 2228, 5049, 267, 3237, 1683, 741, 3214, 609, 513, 12391, 1604, 693, 1753, 799, 789, 1205, 1031, 547, 269, 4935, 267, 621, 3587, 2182, 585, 873, 547, 1451, 4830, 12588, 269, 5047, 267, 789, 1451, 855, 789, 616, 711, 1360, 18906, 633, 1282, 741, 2228, 5049, 1317, 540, 519, 7874, 1604, 269, 11569, 267, 789, 849, 3111, 547, 1451, 519, 1148, 540, 4687, 1702, 609, 824, 1053, 563, 258, 273, 269, 31808, 538, 6657, 15369, 4804, 454, 11039, 267, 2228, 1565, 5049, 5631, 1445, 593, 519, 7811, 2694, 543, 3668, 2259, 2861, 1565, 269, 7869, 2861, 1702, 568, 5631, 1644, 547, 6436, 267, 5013, 267, 543, 7744, 269, 2201, 519, 824, 1688, 267, 4052, 1702, 568, 1759, 593, 4052, 1995, 543, 4247, 563, 2252, 596, 616, 3206, 547, 1451, 513, 1906, 11271, 538, 1686, 267, 543, 10544, 1702, 827, 25319, 543, 519, 3652, 540, 519, 3756, 1287, 2228, 1565, 1131, 581, 513, 1732, 4781, 269, 18766, 689, 713, 267, 713, 1702, 3112, 581, 8045, 538, 4052, 1272, 899, 875, 547, 1404, 513, 3014, 269, 14755, 267, 596, 666, 2744, 1702, 676, 8026, 538, 519, 2361, 1152, 269, 1717, 267, 621, 779, 849, 1271, 547, 1832, 538, 2247, 602, 2228, 1565, 7948, 1406, 5372, 519, 1702, 602, 2501, 998, 4052, 2833, 563, 258, 274, 269, 19768, 540, 31802, 454, 2005, 1031, 547, 581, 2219, 602, 519, 2228, 1565, 1505, 1131, 581, 606, 7317, 543, 9159, 1259, 547, 4001, 519, 1007, 5108, 540, 1053, 269, 1809, 519, 2164, 3717, 547, 519, 6587, 540, 713, 3069, 269, 2991, 10962, 2228, 5049, 547, 519, 1053, 267, 799, 11751, 873, 606, 5836, 540, 14330, 17988, 267, 1565, 10467, 267, 543, 7928, 5931, 269, 1717, 267, 713, 5012, 547, 513, 3668, 540, 8404, 538, 519, 1053, 945, 991, 547, 30603, 519, 1565, 22045, 563, 1103, 1840, 547, 713, 267, 1053, 10404, 1125, 519, 3668, 540, 8404, 267, 799, 2356, 4523, 1813, 547, 513, 3668, 540, 14375, 5905, 1063, 519, 3610, 543, 519, 1053, 538, 519, 2228, 1362, 269, 1717, 267, 519, 991, 585, 2168, 5872, 543, 2792, 1063, 519, 1053, 568, 2556, 269, 4935, 267, 713, 2337, 538, 2502, 873, 799, 2228, 3450, 1505, 814, 1100, 3070, 2943, 563, 258, 275, 269, 13262, 543, 15310, 8982, 12983, 454, 10743, 991, 513, 1164, 1377, 540, 5834, 538, 741, 2228, 5049, 269, 1809, 621, 7140, 856, 547, 581, 11207, 1114, 269, 4438, 2228, 5049, 267, 519, 5834, 1377, 540, 519, 1053, 12628, 269, 4256, 3210, 2306, 621, 2352, 585, 519, 3610, 547, 4308, 609, 621, 269, 634, 2604, 547, 13404, 593, 519, 5496, 2164, 538, 513, 1390, 2179, 540, 2566, 543, 4160, 3812, 676, 519, 1053, 563, 10743, 616, 25356, 1310, 11504, 24680, 5049, 267, 3381, 19014, 267, 543, 11401, 593, 741, 5985, 11436, 269, 5047, 267, 519, 2247, 568, 4299, 607, 5496, 942, 4679, 543, 519, 2634, 9060, 621, 2352, 547, 10110, 782, 519, 1344, 563, 258, 276, 269, 19768, 540, 26440, 4181, 689, 5440, 29550, 609, 6452, 1042, 2787, 454, 3086, 12997, 2069, 814, 513, 2603, 547, 798, 609, 922, 32107, 2864, 982, 1565, 269, 1717, 267, 621, 6927, 1141, 596, 723, 6594, 543, 1018, 596, 6594, 269, 2334, 568, 1946, 32107, 568, 513, 5458, 3815, 269, 634, 3845, 1565, 543, 2228, 1565, 6080, 723, 8959, 547, 22321, 20380, 2362, 2069, 5238, 547, 2709, 741, 6030, 538, 891, 12043, 563, 763, 5232, 585, 519, 2228, 6030, 1522, 711, 581, 26886, 676, 519, 2816, 2344, 855, 15983, 585, 824, 2816, 5238, 269, 4475, 267, 3506, 723, 17947, 2228, 2069, 855, 2362, 2069, 5238, 543, 519, 2229, 723, 2943, 547, 5431, 621, 607, 513, 3318, 4110, 563, 19522, 547, 20958 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 585, 12502, 525, 630, 4753, 264, 543, 28614, 26935, 1235, 630, 10135, 4753, 264, 8033, 4240, 593, 2985, 476, 276, 31514, 3461, 3106, 998, 4824, 13178, 538, 15822, 21111, 5516, 570, 646, 1909, 540, 2564, 3457, 267, 971, 607, 11487, 268, 669, 8113, 8554, 267, 538, 519, 6771, 540, 1072, 268, 1416, 23938, 5563, 630, 11190, 3674, 264, 814, 1279, 1044, 6444, 267, 2705, 267, 519, 859, 328, 268, 546, 775, 602, 1604, 320, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 1323, 15589, 5735, 1315, 2271, 2400, 5516, 5149, 630, 2975, 308, 264, 6925, 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, 6637, 476, 1015, 281, 634, 24090, 995, 2622, 540, 23093, 26511, 543, 23866, 20837, 532, 692, 5970, 596, 2479, 19557, 547, 513, 5925, 1397, 602, 596, 2731, 10150, 267, 855, 24714, 596, 1223, 6432, 547, 621, 1586, 8164, 596, 4941, 286, 2107, 6148, 596, 4312, 4862, 827, 891, 1919, 1572, 834, 335, 617, 4751, 338, 257, 543, 834, 7596, 1470, 18297, 2437, 855, 14201, 1405, 3833, 2386, 1018, 789, 941, 610, 875, 789, 5249, 269, 4270, 267, 1694, 1394, 267, 6001, 267, 543, 1577, 803, 1491, 596, 593, 513, 3460, 883, 713, 5863, 3059, 5251, 2439, 5575, 1055, 267, 4952, 1373, 2111, 547, 19820, 883, 707, 5172, 5925, 1397, 267, 855, 3079, 540, 2348, 547, 6529, 547, 741, 8430, 267, 596, 666, 2046, 1404, 20471, 267, 9170, 269, 2334, 781, 4010, 1018, 27143, 2709, 256, 1358, 2811, 899, 840, 29627, 867, 539, 5925, 2982, 602, 596, 666, 24049, 547, 267, 865, 1169, 1007, 12558, 8850, 4991, 9447, 1318, 547, 707, 3926, 269, 1411, 1522, 1265, 27143, 827, 2984, 267, 24668, 267, 13655, 267, 3020, 6760, 267, 610, 1256, 1175, 7391, 1063, 2828, 910, 972, 781, 1945, 856, 972, 585, 3025, 2439, 3086, 267, 1018, 952, 594, 5143, 596, 602, 972, 729, 513, 1259, 547, 7390, 513, 2661, 13447, 267, 6432, 547, 8840, 3377, 267, 610, 2972, 12909, 676, 4966, 538, 1585, 4610, 267, 782, 1247, 9361, 693, 1753, 286, 8080, 547, 519, 9059, 540, 8301, 18297, 256, 901, 6909, 2029, 2636, 721, 547, 10141, 3280, 630, 663, 3006, 1256, 3381, 264, 936, 519, 4950, 538, 1483, 6066, 269, 1924, 2436, 596, 1616, 547, 9240, 913, 547, 519, 5767, 26107, 267, 3251, 5483, 593, 1699, 2621, 267, 610, 1451, 827, 4241, 3584, 689, 1472, 519, 8608, 267, 8301, 18297, 2306, 621, 2009, 780, 2414, 948, 5862, 513, 20501, 4605, 267, 1577, 803, 2671, 930, 1187, 1806, 269, 5994, 16462, 547, 1831, 513, 1732, 7376, 282, 596, 1223, 3406, 585, 606, 1148, 15264, 1141, 4648, 1865, 4388, 543, 2553, 269, 9320, 596, 9364, 588, 18443, 2390, 834, 763, 3203, 540, 14301, 4658, 257, 610, 834, 303, 31021, 609, 4826, 3712, 832, 1701, 3962, 3018, 267, 513, 1007, 12558, 1131, 12446, 267, 4904, 609, 6667, 543, 5583, 269, 1656, 15475, 596, 7948, 1405, 7227, 547, 2119, 856, 1018, 596, 4121, 1107, 1287, 596, 1223, 7914, 5196, 606, 8301, 6908, 10023, 513, 2661, 7206, 8400, 3366, 676, 513, 4487, 7376, 269, 1215, 3579, 568, 602, 31841, 7775, 5310, 596, 2811, 8049, 827, 9018, 2230, 543, 31205, 5326, 540, 4742, 606, 16106, 14693, 269, 1635, 11362, 883, 27143, 899, 834, 30252, 307, 1779, 257, 609, 29484, 632, 294, 6652, 572, 570, 903, 517, 267, 596, 3513, 7832, 593, 2247, 1532, 27172, 15322, 998, 938, 7122, 267, 1565, 827, 3109, 9475, 267, 30659, 267, 543, 3388, 538, 1063, 269, 1879, 621, 781, 942, 585, 513, 2736, 267, 3274, 6467, 24039, 543, 23365, 3054, 538, 513, 9159, 8301, 13739, 540, 513, 8331, 15177, 10131, 269, 11565, 803, 267, 6217, 1346, 9817, 887, 541, 786, 2285, 596, 979, 846, 321, 7927, 2439, 3719, 1934, 2501, 519, 1655, 851, 281, 2870, 707, 1360, 1378, 15264, 610, 10283, 538, 606, 2228, 8301, 4901, 269, 6056, 827, 4687, 707, 4555, 593, 2835, 267, 9413, 267, 3756, 267, 610, 4376, 3116, 596, 2811, 13730, 827, 269, 3502, 1152, 786, 596, 1020, 3407, 2792, 1983, 267, 855, 596, 3513, 849, 1921, 609, 824, 12439, 689, 2066, 519, 4541, 269, 1548, 1223, 581, 811, 13858, 982, 6616, 1004, 689, 5245, 267, 4516, 267, 610, 3162, 4000, 616, 25122, 538, 547, 5873, 22400, 5639, 2496, 3528, 1631, 267, 594, 4126, 596, 2811, 9599, 827, 3695, 519, 5318, 7706, 540, 15264, 532, 543, 8301, 18297, 269, 5457, 267, 1100, 2339, 799, 9135, 610, 3760, 533, 2294, 707, 1719, 267, 519, 1034, 1271, 3364, 568, 547, 4685, 538, 267, 1376, 6947, 267, 543, 25793, 1662, 707, 7279, 269, 8414, 12423, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8368, 540, 12937, 454, 7072, 547, 10011, 7901, 454, 290, 770, 7901, 568, 513, 12021, 813, 538, 519, 15264, 532, 543, 8301, 18297, 2230, 267, 3246, 596, 609, 513, 3638, 543, 9867, 1543, 6947, 1995, 269, 2060, 936, 476, 4817, 2929, 3755, 5001, 543, 6634, 540, 14501, 540, 27143, 543, 2661, 12535, 267, 621, 814, 3710, 513, 2146, 540, 1004, 945, 849, 2648, 6947, 547, 5925, 563, 4415, 713, 813, 267, 596, 666, 1569, 513, 5458, 4015, 540, 27143, 609, 6634, 540, 14501, 543, 2661, 12535, 689, 782, 936, 519, 1158, 269, 17949, 27143, 827, 2257, 267, 2029, 267, 2069, 267, 1148, 267, 2575, 267, 5026, 267, 27143, 827, 4948, 1272, 267, 972, 616, 782, 11964, 585, 596, 547, 3442, 689, 563, 1432, 568, 10011, 7901, 454, 8266, 2287, 547, 27143, 814, 2141, 1044, 835, 540, 519, 19463, 3029, 540, 9913, 585, 1082, 1004, 269, 4014, 942, 814, 5293, 543, 2029, 3466, 723, 4957, 609, 519, 4417, 540, 811, 3029, 540, 9913, 971, 607, 11080, 267, 519, 4950, 267, 543, 3381, 267, 27143, 1869, 3180, 513, 4396, 1747, 563, 290, 770, 7901, 779, 4015, 568, 711, 3908, 547, 5356, 27143, 689, 2477, 543, 4525, 513, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 5769, 1315, 23093, 26511, 1299, 5680, 26511, 1315, 23866, 20837, 532, 16257, 338, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 28541, 9503, 267, 972, 729, 606, 16529, 1762, 16724, 3957, 15609, 269, 2701, 1185, 1175, 9250, 1200, 23492, 267, 834, 292, 1723, 24728, 2437, 799, 6322, 547, 22499, 4264, 2029, 269, 1717, 267, 1352, 17388, 547, 1711, 543, 2226, 513, 2178, 6216, 4527, 593, 1514, 2923, 5867, 269, 2290, 1554, 267, 1247, 11504, 513, 10509, 10554, 267, 1352, 1558, 1079, 19023, 4648, 945, 1131, 1689, 1200, 1935, 547, 1514, 2923, 910, 27692, 267, 513, 6725, 575, 15843, 1634, 585, 1200, 5876, 267, 543, 6599, 534, 267, 513, 1100, 5991, 976, 1619, 5683, 22639, 780, 299, 25475, 3576, 15609, 896, 1200, 13617, 543, 3323, 676, 4543, 1200, 1020, 513, 1514, 2923, 4640, 269, 1358, 3989, 2312, 3853, 267, 4857, 519, 3077, 5304, 267, 18705, 513, 1543, 4640, 4904, 609, 3407, 1344, 827, 19889, 24728, 781, 2472, 543, 5692, 267, 4956, 593, 513, 7874, 2943, 22265, 3159, 540, 5639, 267, 8149, 547, 3232, 20171, 12451, 267, 543, 3964, 513, 1062, 585, 9477, 6278, 543, 2208, 14573, 780, 19602, 267, 6599, 534, 15695, 15609, 593, 519, 2956, 540, 2519, 593, 2679, 3347, 2864, 982, 3274, 31076, 30572, 6835, 269, 1261, 9415, 1200, 547, 1921, 543, 4497, 609, 519, 5304, 998, 9758, 6643, 267, 12905, 6114, 547, 8292, 543, 1463, 6835, 267, 543, 759, 3873, 637, 540, 3593, 24378, 1543, 15386, 875, 1004, 1031, 19889, 24728, 781, 2472, 269, 3958, 267, 646, 6700, 602, 15609, 7119, 538, 4143, 2228, 2950, 1141, 1761, 5561, 1522, 5531, 547, 1865, 6940, 543, 5647, 780, 9802, 320, 4553, 741, 5796, 855, 5433, 1945, 729, 1869, 7508, 269, 2334, 781, 950, 27692, 5018, 519, 1379, 540, 3308, 32107, 269, 8625, 267, 789, 2813, 17074, 1210, 5812, 32107, 2609, 971, 607, 27291, 267, 4778, 267, 23935, 267, 543, 11052, 2066, 782, 1514, 2923, 5867, 269, 901, 5280, 12927, 19889, 24728, 781, 6216, 3961, 543, 1500, 621, 811, 25992, 1851, 922, 15712, 780, 4913, 267, 711, 3388, 4682, 12347, 269, 4438, 513, 2661, 1627, 26031, 8400, 593, 17749, 267, 15609, 4607, 513, 30940, 6085, 689, 2576, 5009, 513, 15180, 2754, 269, 5502, 540, 24937, 610, 18111, 1154, 621, 267, 1352, 15527, 1219, 13208, 267, 4929, 513, 13489, 1369, 519, 2146, 269, 20876, 519, 12161, 267, 15609, 6603, 856, 547, 27692, 543, 6599, 534, 585, 5583, 780, 299, 25475, 18056, 15609, 540, 519, 2956, 540, 4509, 735, 3837, 543, 3318, 1143, 1256, 1282, 12699, 15377, 269, 6599, 534, 3773, 602, 4213, 1590, 581, 5423, 585, 9880, 543, 2232, 2152, 609, 11419, 543, 11413, 269, 14171, 741, 5796, 547, 2295, 267, 15609, 23294, 1242, 15597, 543, 7722, 519, 10404, 538, 513, 16614, 4901, 827, 741, 3604, 269, 4173, 19969, 543, 22371, 24330, 1082, 13794, 267, 15980, 741, 3972, 543, 14017, 780, 2026, 942, 5293, 267, 19889, 24728, 25577, 7064, 547, 15609, 781, 7029, 547, 2870, 1164, 7779, 1543, 267, 2502, 609, 1200, 5304, 267, 543, 9846, 17923, 1200, 6216, 781, 2189, 3961, 269, 3414, 1200, 3460, 267, 1352, 4121, 519, 4644, 540, 6568, 267, 7881, 267, 543, 2500, 2792, 538, 5883, 1200, 6216, 781, 10639, 593, 1514, 2923, 5867, 269, 5047, 267, 1200, 2833, 6039, 607, 513, 12576, 602, 1169, 5872, 568, 606, 4316, 547, 1628, 6209, 4296, 543, 6536, 1279, 18835, 3347, 609, 5561, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 18658, 616, 519, 1655, 2994, 585, 11639, 547, 1711, 543, 2226, 513, 2178, 6216, 4527, 593, 1514, 2923, 5867, 888, 2080, 616, 930, 2994, 585, 11639, 547, 1711, 543, 2226, 513, 2178, 6216, 4527, 593, 1514, 2923, 5867, 1384, 272, 269, 3763, 513, 1514, 2923, 4640, 281, 16294, 707, 3853, 267, 3077, 5304, 267, 1543, 4640, 267, 3159, 540, 5639, 267, 20171, 4908, 267, 6278, 4640, 267, 543, 14573, 547, 2268, 1967, 269, 8528, 273, 269, 10312, 593, 2679, 3347, 281, 4045, 543, 4497, 609, 707, 5304, 998, 7391, 267, 14775, 547, 8292, 543, 6835, 267, 4687, 3593, 24378, 1543, 267, 543, 10283, 538, 4143, 2228, 2950, 269, 8528, 274, 269, 2422, 3308, 32107, 281, 2422, 5812, 32107, 2609, 899, 20446, 267, 4778, 267, 23935, 267, 543, 11052, 538, 782, 707, 1514, 2923, 9708, 547, 7794, 707, 6216, 3961, 269, 8528, 275, 269, 8073, 1164, 7779, 1543, 281, 9523, 4277, 543, 4143, 1543, 602, 8591, 1871, 547, 707, 5304, 543, 8992, 707, 6216, 5048, 269, 17186, 909, 707, 1543, 609, 7044, 267, 2592, 267, 12449, 267, 543, 3593, 24932, 324, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 23558, 593, 13941, 9108, 593, 713, 15116, 4541, 1572, 3047, 256, 1306, 596, 2253, 707, 3408, 267, 649, 2811, 9599, 547, 6338, 596, 547, 835, 540, 8103, 781, 1034, 1898, 2645, 281, 519, 8261, 5493, 2280, 13544, 269, 901, 3926, 786, 948, 596, 6330, 16292, 17346, 267, 8637, 267, 543, 824, 4853, 5468, 609, 8897, 780, 6524, 11362, 883, 519, 5850, 267, 1577, 781, 3382, 930, 4909, 2035, 1384, 272, 269, 2878, 16498, 5113, 5093 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 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, 8080, 547, 938, 3408, 540, 21940, 776, 23771, 10046, 256, 5620, 596, 2479, 9289, 1018, 4523, 950, 2842, 9514, 338, 936, 1114, 7252, 286, 4270, 267, 2221, 649, 2811, 2469, 547, 4685, 883, 835, 4241, 2460, 540, 7098, 19392, 910, 875, 2011, 7575, 543, 25998, 609, 1585, 2010, 540, 14099, 269, 13018, 267, 1577, 781, 3605, 875, 5536, 538, 519, 5790, 13789, 2282, 519, 3047, 781, 2627, 267, 7133, 1919, 899, 7452, 14778, 543, 4365, 3270, 2439, 5331, 6972, 998, 513, 22501, 11824, 1282, 513, 23222, 5414, 1554, 282, 798, 596, 5469, 875, 519, 5070, 4667, 547, 7544, 1472, 707, 3952, 286, 2334, 781, 1317, 519, 2842, 666, 3560, 6263, 9274, 540, 5070, 676, 17666, 873, 909, 543, 8876, 873, 2059, 269, 3767, 1589, 827, 713, 8345, 593, 513, 1454, 3677, 4336, 267, 971, 607, 2066, 24301, 610, 5318, 2127, 540, 3484, 1633, 269, 1879, 2178, 12798, 9514, 936, 891, 4525, 267, 789, 4584, 909, 6266, 540, 5386, 7452, 5536, 543, 15814, 873, 1164, 909, 538, 519, 6607, 2439, 3719, 723, 596, 2479, 11074, 547, 2015, 1018, 11887, 519, 7306, 540, 1346, 1179, 802, 540, 7452, 10760, 1472, 286, 12207, 6157, 723, 256, 1358, 1353, 1945, 1572, 3487, 1834, 12025, 17392, 630, 4916, 291, 1070, 799, 4016, 547, 519, 3099, 540, 7306, 1336, 1851, 513, 4015, 540, 5536, 269, 4197, 13662, 291, 2337, 3173, 1451, 811, 827, 1141, 519, 7452, 2501, 689, 267, 875, 2484, 621, 12599, 267, 543, 1256, 875, 621, 5540, 2916, 1689, 780, 3086, 267, 1934, 781, 1141, 1919, 1205, 4277, 269, 1284, 917, 602, 13662, 291, 5673, 593, 2188, 899, 3037, 1826, 1107, 585, 1383, 267, 952, 621, 779, 1500, 909, 6140, 540, 5070, 610, 10036, 269, 1809, 972, 779, 1776, 1271, 3815, 12018, 519, 2450, 540, 19501, 7452, 5536, 281, 11508, 6991, 269, 5213, 1405, 5855, 952, 596, 4312, 2760, 4862, 540, 713, 2165, 1354, 282, 3274, 2322, 267, 11508, 6991, 6257, 519, 4222, 540, 519, 2842, 25738, 1996, 519, 2666, 269, 634, 6793, 519, 2842, 267, 519, 2362, 519, 11508, 6991, 269, 1656, 7058, 1018, 286, 1306, 621, 7140, 856, 267, 3152, 11508, 29702, 4043, 547, 2736, 909, 3677, 7452, 5536, 883, 4130, 3283, 2439, 4913, 267, 930, 3744, 5063, 20402, 2436, 13662, 291, 3788, 3586, 5103, 2242, 538, 11508, 6991, 269, 1924, 267, 1577, 781, 2932, 513, 2219, 4603, 1927, 547, 1174, 1946, 713, 1522, 581, 23503, 269, 5994, 8066, 513, 19625, 540, 3819, 5070, 593, 513, 9350, 4832, 1554, 3379, 547, 513, 31830, 344, 5162, 7088, 269, 22682, 267, 811, 24526, 12798, 786, 2014, 32067, 5536, 547, 14649, 2417, 2476, 982, 9543, 23222, 8240, 269, 4475, 267, 649, 3112, 8263, 602, 13662, 291, 13978, 519, 1482, 7488, 540, 8795, 11508, 29702, 780, 11101, 267, 972, 781, 2943, 1776, 10578, 4062, 540, 519, 11015, 281, 11626, 10465, 4494, 630, 5723, 299, 264, 6617, 269, 1548, 1281, 713, 1611, 4010, 286, 6056, 540, 519, 9474, 299, 607, 513, 4990, 540, 24120, 17158, 532, 3047, 781, 2627, 267, 14178, 20733, 1896, 12919, 269, 10738, 713, 7997, 267, 2837, 3604, 1063, 519, 3636, 2666, 543, 16830, 5580, 6106, 1711, 3982, 5163, 3270, 3330, 519, 2011, 2527, 269, 4438, 7123, 2175, 267, 15911, 5210, 620, 21510, 1832, 519, 2539, 6106, 2673, 547, 519, 2666, 267, 1247, 18633, 3871, 2049, 950, 21617, 2011, 29084, 2630, 267, 3850, 585, 2799, 7299, 11544, 780, 3383, 267, 875, 1281, 782, 540, 713, 1921, 1394, 547, 938, 15472, 5070, 5536, 286, 10765, 4681, 2303, 602, 11626, 10465, 4494, 6617, 5222, 7452, 5434, 1932, 269, 16200, 518, 16057, 20517, 2404, 609, 1447, 7123, 2175, 3986, 6070, 566, 10514, 731, 618, 1107, 4952, 1346, 18512, 5070, 9274, 1373, 1166, 2426, 3196, 2685, 5196, 4478, 7252, 1813, 547, 7920, 21611, 3361, 676, 3532, 12798, 269, 1452, 10795, 4205, 3565, 547, 8840, 1524, 8273, 5536, 883, 17646, 1512, 15998, 267, 18867, 19249, 519, 2949, 7452, 13662, 291, 780, 2414, 2040, 909, 267, 1620, 519, 2623, 540, 5536, 1369, 519, 11626, 10465, 4494, 3884, 1405, 1152, 2629, 585, 21264, 532, 7452, 14778, 855, 849, 3091, 4030, 883, 6626, 9259, 899, 2199, 4365, 2621, 543, 2518, 2916, 3466, 269, 5664, 30595, 267, 1985, 942, 596, 1265, 3054, 14952, 532, 693, 2220, 26325, 521, 1343, 593, 513, 19209, 610, 575, 5074, 2390, 688, 5414, 22839, 4904, 609, 11397, 5536, 267, 3314, 519, 1950, 6384, 3297, 873, 1107, 11508, 6991, 267, 3037, 5888, 267, 543, 11626, 10465, 4494, 6617, 5935, 741, 12357, 23929, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 2570, 1890, 540, 9325, 2450, 3892, 693, 7452, 12998, 593, 11508, 6991, 543, 11626, 10465, 2000, 9707, 6617, 454, 8512, 1834, 2450, 3892, 540, 7452, 693, 12998, 630, 706, 560, 13662, 291, 264, 568, 606, 1898, 7274, 547, 7447, 538, 7452, 2090, 269, 898, 814, 1044, 6444, 538, 4505, 1382, 602, 7452, 13662, 291, 568, 8200, 593, 3037, 3601, 630, 324, 3052, 269, 2436, 3037, 568, 5070, 610, 10036, 264, 543, 11508, 6991, 267, 579, 4501, 501, 267, 799, 568, 513, 1147, 5766, 622, 585, 2627, 19852, 2566, 543, 513, 6934, 528, 585, 6070, 566, 1532, 4861, 731, 618, 8515, 269, 901, 6284, 814, 1044, 13934, 538, 930, 2487, 4574, 267, 4929, 513, 7521, 593, 2436, 7452, 13662, 291, 568, 968, 514, 19702, 656, 892, 543, 519, 3406, 585, 922, 24134, 269, 769, 713, 1957, 267, 649, 20272, 519, 7452, 13662, 291, 6027, 538, 519, 3567, 8241, 28545, 15331, 543, 1397, 602, 7452, 13662, 291, 568, 8200, 593, 579, 4501, 501, 543, 593, 11626, 10465, 2000, 9707, 630, 5723, 299, 264, 6617, 269, 1635, 2241, 7811, 543, 10230, 2079, 267, 649, 2491, 519, 1079, 4128, 585, 519, 8545, 21341, 267, 799, 616, 1312, 1644, 547, 8476, 6070, 566, 10514, 731, 618, 538, 12768, 21063, 24360, 2095, 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, 895, 776, 23771, 10046, 257, 607, 851, 540, 834, 306, 11799, 1315, 23317, 1315, 17224, 19392, 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, 634, 4764, 10726, 1996, 519, 6885, 3966, 525, 540, 519, 1507, 19970, 31314, 538, 519, 2295, 540, 519, 4104, 269, 18738, 267, 513, 812, 2893, 14598, 3481, 936, 606, 2025, 11308, 11380, 267, 844, 650, 538, 1688, 267, 9663, 13124, 31163, 17331, 1913, 5196, 533, 1105, 618, 269, 901, 729, 8361, 6424, 774, 648, 879, 267, 513, 14544, 267, 10564, 267, 543, 1557, 626, 1634, 585, 1010, 7096, 2648, 540, 2470, 780, 2026, 519, 7088, 986, 3022, 3544, 267, 972, 3357, 513, 22545, 693, 519, 7450, 269, 3399, 1194, 267, 774, 648, 879, 1305, 1524, 1010, 844, 650, 543, 8118, 519, 7450, 547, 7866, 513, 1762, 4807, 7555, 1354, 1864, 267, 865, 8898, 689, 2212, 547, 23179, 780, 257, 8923, 2097, 538, 2437, 774, 648, 879, 1767, 267, 9694, 1005, 585, 1200, 547, 4283, 269, 834, 2791, 3100, 547, 723, 1044, 9575, 538, 519, 7088, 3010, 257, 8133, 267, 594, 729, 856, 25061, 585, 1426, 950, 519, 22839, 8118, 909, 2437, 1352, 14452, 267, 695, 1853, 532, 269, 834, 296, 4862, 827, 707, 2370, 4603, 856, 1934, 267, 2713, 4805, 538, 519, 19069, 267, 543, 594, 1185, 547, 1294, 621, 585, 8885, 3010, 1320, 648, 879, 21330, 267, 5356, 1200, 513, 10160, 2282, 519, 3595, 2897, 269, 1306, 789, 12038, 267, 646, 3838, 1010, 4555, 593, 519, 2956, 540, 2470, 538, 5935, 938, 2729, 543, 13057, 721, 2509, 4514, 1620, 540, 6000, 543, 519, 7122, 780, 257, 2690, 803, 267, 2470, 568, 811, 982, 1175, 513, 2168, 1747, 282, 621, 568, 513, 5289, 7706, 1141, 649, 666, 1921, 609, 1945, 3152, 982, 6000, 2437, 774, 648, 879, 6045, 269, 834, 3528, 9284, 532, 6000, 538, 922, 5898, 543, 6988, 267, 649, 1930, 6000, 909, 547, 1007, 5380, 543, 4030, 602, 616, 3274, 7543, 547, 2744, 1022, 824, 1259, 3010, 763, 4807, 19557, 32348, 267, 5693, 27278, 676, 774, 648, 879, 781, 2093, 269, 1809, 1287, 1352, 4280, 1864, 513, 2243, 602, 8604, 547, 6952, 1864, 1055, 9856, 780, 257, 3719, 1018, 827, 782, 519, 7092, 543, 27465, 602, 2501, 689, 2713, 2673, 547, 2470, 8119, 1352, 844, 518, 1221, 269, 834, 306, 675, 569, 972, 1590, 581, 930, 19363, 547, 4758, 909, 2413, 7036, 7891, 543, 8508, 519, 1390, 13964, 3010, 1320, 648, 879, 17328, 4310, 585, 513, 4090, 267, 6236, 1200, 1913, 5402, 269, 3973, 646, 15527, 609, 24235, 780, 257, 8170, 1576, 972, 616, 2591, 547, 2713, 538, 10103, 609, 2470, 2437, 646, 15861, 269, 834, 3719, 891, 7965, 1152, 4196, 547, 7794, 938, 8207, 543, 4001, 721, 3407, 4245, 827, 6043, 267, 16177, 267, 543, 1582, 3146, 18910, 269, 1656, 16310, 267, 3884, 1405, 621, 1732, 547, 3068, 14488, 2212, 6823, 2864, 982, 15720, 3297, 519, 635, 325, 2176, 540, 10340, 12482, 19808, 5962, 676, 774, 648, 879, 781, 7326, 543, 6612, 267, 519, 4807, 2451, 519, 19970, 4743, 6273, 543, 9927, 269, 1656, 1498, 741, 7237, 729, 5618, 267, 621, 9863, 547, 581, 513, 11358, 4090, 538, 1312, 741, 2729, 1107, 835, 602, 1131, 3251, 609, 873, 1279, 1310, 519, 7088, 1185, 5293, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 29205, 596, 1865, 519, 1909, 540, 2470, 538, 519, 1568, 540, 8361, 6424, 774, 648, 879, 888, 296, 666, 1683, 519, 1739, 2079, 540, 519, 1909, 540, 2470, 538, 519, 1568, 540, 29165, 30602, 555, 648, 879, 1384, 333, 1155, 5129, 513, 1713, 1909, 538, 519, 12591, 540, 29165, 30602, 555, 648, 879, 267, 513, 476, 866, 628, 10601, 7819, 14544, 267, 10564, 267, 543, 1557, 626, 269, 555, 648, 879, 729, 513, 2067, 626, 945, 1336, 24176, 543, 6667, 538, 2470, 267, 543, 1010, 1568, 2992, 1010, 2620, 7071, 585, 519, 2067, 1158, 269, 8528, 514, 555, 648, 879, 781, 1034, 4583, 960, 267, 834, 19789, 6577, 2437, 646, 11339, 827, 1010, 1995, 2713, 538, 513, 1507, 19970, 538, 519, 18137, 585, 1079, 1296, 269, 646, 27153, 5128, 538, 519, 2067, 5251, 267, 11287, 519, 18508, 543, 21426, 1472, 1864, 543, 14719, 908, 519, 2495, 540, 1272, 269, 538, 713, 1259, 267, 2470, 6039, 607, 1312, 513, 2168, 543, 5289, 20457, 585, 1010, 2123, 18759, 593, 2486, 267, 2528, 267, 543, 6228, 780, 1721, 555, 648, 879, 267, 2470, 729, 711, 8806, 513, 2168, 1604, 855, 513, 5289, 835, 607, 1134, 269, 646, 5156, 602, 519, 2067, 1158, 4371, 519, 1883, 547, 1480, 5289, 1646, 267, 543, 602, 676, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 670, 269, 9652, 8836, 1299, 12409, 7467, 543, 519, 3627, 670, 269, 9652, 8836, 1299, 24573, 584, 658, 4741, 538, 23916, 4975, 267, 607, 1134, 607, 519, 3627, 670, 269, 9652, 3427, 540, 9442, 693, 20999, 2160, 563, 15307, 13846, 4880, 4502, 454, 11990, 568, 835, 540, 519, 5763, 5006, 20859, 543, 835, 540, 519, 1034, 1134, 8153, 269, 3627, 670, 269, 9652, 779, 2121, 4502, 568, 6059, 547, 581, 1472, 1269, 11740, 5479, 267, 2687, 547, 9504, 267, 1280, 15816, 267, 543, 6355, 6184, 3187, 269, 0, 5331, 6972, 1524, 519, 14297, 10754, 540, 4017, 28281, 20279, 267, 29255, 267, 2921, 538, 513, 2620, 7362, 540, 4195, 2011, 269, 3767, 267, 4605, 513, 1272, 1141, 1169, 7362, 3587, 513, 6560, 267, 1141, 707, 9641, 1745, 5230, 267, 543, 1141, 2241, 4247, 2490, 883, 9688, 532, 610, 1372, 1023, 269, 9839, 12577, 267, 3884, 1406, 621, 286, 2334, 779, 519, 4641, 585, 1932, 1082, 11570, 7092, 689, 5761, 3676, 269, 18641, 267, 607, 5102, 3000, 5505, 267, 649, 723, 4388, 547, 948, 2061, 891, 2175, 269, 5221, 3025, 19262, 602, 24253, 7362, 540, 2011, 267, 1169, 942, 563, 8139, 25016, 15302, 454, 299, 2426, 3676, 616, 711, 607, 3551, 607, 789, 3100, 269, 1358, 666, 14229, 752, 909, 593, 596, 267, 3623, 1836, 543, 7444, 269, 634, 8904, 540, 519, 3510, 3587, 1634, 1152, 950, 519, 3441, 568, 1713, 269, 1452, 3676, 666, 1491, 1082, 3029, 899, 5312, 32583, 267, 10447, 267, 5761, 2860, 267, 543, 1082, 1866, 563, 7093, 3685, 568, 14568, 982, 595, 675, 454, 763, 2085, 6040, 6031, 14034, 3020, 1256, 2221, 269, 16473, 532, 5761, 3676, 568, 4443, 543, 811, 2500, 982, 27955, 873, 269, 13667, 585, 513, 2635, 6197, 269, 3680, 7296, 267, 3635, 5781, 267, 543, 2226, 513, 7059, 2732, 269, 1452, 616, 2241, 3268, 269, 1809, 789, 1118, 513, 5458, 3017, 563, 10712, 5803, 568, 2659, 2037, 5519, 454, 2005, 779, 1100, 5728, 269, 3911, 5803, 28746, 707, 9641, 269, 898, 779, 711, 1175, 827, 13189, 269, 21694, 267, 2034, 8518, 8673, 267, 543, 1256, 519, 8673, 689, 707, 3595, 2897, 666, 1860, 707, 9641, 269, 3680, 873, 607, 1454, 607, 596, 666, 269, 7994, 2973, 2011, 936, 8673, 267, 1169, 942, 563, 19865, 568, 2659, 31541, 454, 19865, 2337, 707, 9641, 269, 898, 18791, 873, 543, 8952, 873, 2635, 269, 898, 779, 899, 513, 15904, 585, 707, 9641, 269, 1656, 519, 5898, 540, 621, 568, 602, 596, 1810, 1406, 991, 513, 15547, 15376, 269, 589, 1490, 7416, 3802, 267, 513, 2656, 2196, 267, 513, 11332, 11878, 267, 1256, 15472, 267, 4376, 602, 4991, 707, 2295, 23028, 568, 1434, 585, 707, 9641, 563, 7312, 2732, 4249, 513, 2629, 1909, 1932, 269, 898, 779, 711, 1175, 827, 8477, 543, 2597, 269, 589, 7059, 2732, 2337, 2226, 707, 2949, 1072, 267, 1519, 707, 9641, 269, 3417, 6266, 540, 5613, 267, 5388, 267, 10709, 5946, 267, 543, 2898, 9274, 538, 707, 2732, 269, 1656, 3251, 19872, 256, 4826, 568, 1898, 585, 707, 1072, 563, 15900, 24544, 568, 6206, 454, 15919, 267, 5103, 938, 1655, 3646, 267, 5761, 3676, 666, 10880, 269, 1809, 2038, 7020, 666, 2490, 519, 20352, 269, 8617, 2638, 13522, 267, 1620, 519, 2589, 267, 543, 1373, 14942, 666, 1118, 513, 1158, 540, 3017, 563, 3383, 972, 596, 723, 621, 269, 11822, 3268, 547, 2149, 707, 9641, 269, 5221, 1169, 7362, 1058, 581, 513, 7362, 540, 4195, 2011, 269, 0, 6701, 596, 11842, 952, 3039, 13099, 11535, 568, 2922, 547, 3548, 286, 901, 9341, 4829, 568, 1634, 585, 922, 1072, 2640, 267, 855, 1082, 1004, 616, 18516, 952, 789, 666, 8532, 621, 538, 922, 796, 686, 701, 1106, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 2640, 543, 19363, 540, 4189, 3039, 13099, 11535, 543, 1683, 4388, 593, 875, 547, 5965, 543, 3434, 621, 563, 3719, 1101, 267, 1577, 779, 2911, 827, 1018, 3039, 13099, 11535, 568, 543, 1946, 621, 779, 1434, 585, 596, 269, 14466, 11535, 568, 513, 9341, 4829, 602, 568, 5065, 547, 6792, 543, 6239, 3013, 269, 898, 779, 3638, 538, 8324, 595, 267, 589, 267, 543, 661, 267, 607, 1134, 607, 11379, 267, 13101, 267, 543, 6775, 269, 5682, 13099, 11535, 568, 3274, 606, 796, 686, 701, 13099, 11535, 602, 18387, 1406, 4628, 18009, 2989, 2943, 269, 2755, 22691, 13099, 11535, 568, 6653, 543, 30861, 267, 3039, 13099, 11535, 568, 6109, 543, 814, 513, 7646, 8137, 602, 568, 5594, 15280, 563, 1103, 713, 2376, 267, 594, 786, 3802, 596, 998, 519, 2640, 540, 3039, 13099, 11535, 267, 2436, 621, 779, 2922, 547, 3548, 267, 543, 875, 547, 5965, 621, 269, 1924, 267, 1577, 779, 4685, 538, 543, 2263, 519, 1158, 540, 3039, 13099, 11535, 2336, 1432, 568, 5682, 14466, 11535, 888, 14240, 543, 18567, 540, 5682, 14466, 11535, 454, 16675, 13099, 11535, 568, 519, 796, 686, 701, 4829, 540, 519, 13099, 11535, 3529, 269, 898, 568, 3335, 3039, 538, 2681, 267, 6109, 547, 519, 5905, 267, 543, 814, 513, 7646, 267, 5594, 15280, 6492, 269, 9521, 22691, 13099, 11535, 267, 799, 568, 6653, 543, 30861, 267, 3039, 13099, 11535, 568, 1031, 5097, 538, 29902, 8286, 563, 16675, 13099, 11535, 568, 513, 1455, 12146, 538, 1082, 14913, 7489, 32345, 267, 3226, 21487, 543, 19176, 269, 898, 568, 1419, 1989, 730, 610, 22872, 543, 3773, 547, 25235, 267, 13489, 1922, 1845, 267, 543, 1225, 1845, 269, 769, 1840, 547, 922, 11477, 3096, 267, 3039, 13099, 11535, 568, 849, 1031, 538, 2757, 4915, 563, 301, 26798, 10025, 543, 2657, 11588, 540, 5682, 14466, 11535, 454, 16675, 13099, 11535, 568, 3638, 538, 8324, 543, 6886, 602, 616, 1898, 585, 1434, 1072, 269, 898, 568, 606, 5140, 2707, 540, 6171, 595, 267, 799, 7028, 4761, 1599, 543, 2960, 1072, 269, 898, 849, 3568, 6171, 589, 267, 799, 568, 1271, 585, 3750, 1072, 267, 607, 1134, 607, 6171, 661, 267, 799, 6411, 607, 606, 15934, 538, 519, 1560, 563, 1103, 1840, 547, 922, 6171, 1543, 267, 3039, 13099, 11535, 568, 849, 513, 1434, 2707, 540, 6775, 267, 799, 7028, 9667, 1072, 543, 2337, 547, 10038, 1973, 4006, 2157, 269, 898, 849, 3568, 11379, 543, 13101, 267, 799, 616, 1271, 585, 2295, 1072, 563, 10932, 5267, 602, 3039, 13099, 11535, 949, 723, 513, 1297, 540, 1072, 2640, 269, 1280, 1383, 267, 621, 949, 948, 547, 2569, 6553, 538, 519, 1560, 267, 799, 568, 5532, 547, 513, 2039, 540, 5312, 3676, 267, 1519, 2295, 2068, 543, 2860, 269, 898, 949, 849, 723, 2860, 1922, 18017, 3601, 267, 7064, 547, 922, 1164, 2157, 540, 14434, 563, 14454, 267, 3039, 13099, 11535, 568, 513, 14312, 543, 11684, 12146, 602, 568, 1134, 4502, 6220, 883, 707, 2732, 269, 769, 519, 1985, 3296, 267, 649, 786, 2263, 2436, 621, 779, 2922, 547, 3548, 543, 5635, 3039, 13099, 11535, 547, 922, 22691, 11218, 563, 4692, 1411, 16202, 5682, 14466, 11535, 888, 2252, 596, 2461, 11842, 2436, 3039, 13099, 11535, 568, 2922, 547, 3548, 267, 519, 2626, 568, 9811, 256, 2755, 621, 949, 711, 581, 607, 6653, 543, 30861, 607, 22691, 13099, 11535, 267, 3039, 13099, 11535, 568, 1869, 17580, 543, 14095, 609, 5567, 269, 769, 1249, 267, 930, 1004, 4782, 3039, 13099, 11535, 585, 922, 2189, 8137, 543, 29511, 344, 9403, 563, 21008, 2581, 1063, 681, 6559, 543, 5682, 14466, 11535, 454, 4407, 1312, 22691, 543, 3039, 13099, 11535, 2097, 689, 519, 1482, 4829, 267, 789, 723, 930, 4909, 3604, 269, 681, 6559, 13099, 11535, 568, 2571, 267, 6653, 267, 543, 814, 513, 6505, 10538, 2681, 267, 1247, 3039, 13099, 11535, 568, 6109, 267, 7646, 538, 8137, 267, 543, 814, 513, 3039, 880, 3917, 3641, 2960, 269, 681, 6559, 13099, 11535, 568, 1419, 13881, 6151, 267, 1247, 3039, 13099, 11535, 568, 3335, 11273, 610, 1031, 538, 25235, 563, 19119, 540, 14856, 5682, 14466, 11535, 454, 16675, 13099, 11535, 568, 513, 3638, 2707, 540, 8324, 267, 6886, 267, 543, 14434, 269, 898, 779, 3226, 1164, 538, 6171, 595, 267, 799, 7028, 4761, 1599, 543, 20018, 2504, 269, 3958, 267, 3039, 13099, 11535, 3568, 11476, 602, 5351, 12536, 543, 949, 948, 13468, 2589, 540, 9667, 4713, 899, 26533, 543, 19228, 563, 19352, 10587, 540, 14856, 5682, 14466, 11535, 454, 4407, 3039, 13099, 11535, 568, 3622, 2922, 547, 3548, 267, 621, 1281, 2270, 3735, 343, 267, 799, 666, 2014, 606, 13027, 5114, 538, 930, 1004, 269, 3958, 267, 10438, 1804, 5666, 540, 3039, 13099, 11535, 666, 723, 513, 561, 1314, 894, 1198, 543, 949, 2014, 13165, 269, 1403, 596, 2461, 18516, 827, 2436, 3039, 13099, 11535, 568, 2922, 585, 596, 547, 3548, 267, 621, 779, 1655, 547, 5077, 609, 513, 3782, 3318, 563, 1103, 5758, 267, 3039, 13099, 11535, 568, 2922, 547, 3548, 543, 814, 1082, 1072, 2640, 269, 2755, 621, 949, 711, 581, 607, 6653, 607, 22691, 13099, 11535, 267, 621, 779, 1869, 513, 17705, 543, 14312, 4829, 602, 666, 581, 10150, 538, 513, 3099, 540, 8286, 563, 1692, 547, 16259, 543, 13648, 5682, 14466, 11535, 454, 16675, 13099, 11535, 568, 513, 11684, 12146, 602, 666, 581, 1031, 538, 1082, 1114, 8286, 269, 3371, 616, 930, 2081, 547, 5965, 543, 3434, 3039, 13099, 11535, 912, 17843, 18467, 547, 13648, 5682, 14466, 11535, 454, 4537, 1042, 4765, 281, 1411, 666, 27054, 3039, 13099, 11535, 543, 946, 621, 538, 25235, 610, 607, 513, 21959, 880, 585, 824, 8286, 269, 1677, 27054, 3039, 13099, 11535, 267, 946, 513, 10448, 22019, 518, 610, 513, 8260, 22223, 547, 20105, 621, 883, 6094, 17446, 563, 1805, 597, 1922, 787, 281, 5682, 13099, 11535, 666, 581, 13489, 1922, 3072, 609, 824, 5388, 610, 16469, 269, 12338, 519, 3039, 13099, 11535, 883, 1507, 4773, 543, 13489, 1922, 787, 621, 609, 13342, 267, 19637, 267, 543, 707, 5172, 5820, 563, 22517, 6150, 281, 1411, 666, 14974, 3039, 13099, 11535, 543, 946, 621, 607, 513, 2427, 8670, 610, 1039, 621, 547, 27130, 543, 12403, 338, 269, 1677, 14974, 3039, 13099, 11535, 267, 2759, 621, 883, 1507, 4773, 543, 1039, 621, 547, 14495, 1216, 269, 13648, 2394, 13035, 267, 1287, 8963, 543, 4196, 563, 13434, 6346, 543, 14313, 585, 5682, 14466, 11535, 2598, 1127, 454, 16675, 14466, 11535, 6428, 611, 281, 901, 568, 513, 2442, 8670, 538, 14913, 5607, 269, 1744, 1042, 3039, 13099, 11535, 543, 3575, 621, 609, 14274, 267, 31625, 18717, 267, 18654, 10433, 267, 3165, 14036, 267, 543, 4006, 269, 5440, 609, 30637, 543, 11922, 563, 16675, 14466, 11535, 4354, 787, 281, 12338, 3039, 13099, 11535, 883, 1507, 4773, 543, 1039, 621, 547, 513, 1225, 787, 14036, 1500, 609, 17310, 5144, 267, 1225, 787, 8869, 267, 543, 824, 14546, 269, 31160, 936, 7573, 610, 609, 14255, 534, 3694, 563, 16675, 14466, 11535, 3911, 26743, 773, 281, 2349, 754, 3039, 13099, 11535, 609, 18506, 267, 9932, 267, 543, 4672, 585, 513, 24253, 543, 2635, 5347, 773, 563, 2467, 616, 1082, 824, 2081, 547, 5965, 543, 3434, 3039, 13099, 11535, 267, 865, 1810, 1406, 581, 12922, 547, 4603, 543, 2119, 1007, 10346, 269, 2060, 922, 7646, 8137, 543, 1072, 2640, 267, 3039, 13099, 11535, 568, 513, 1390, 1840, 547, 1022, 7594, 563, 16675, 14466, 11535, 31204, 454, 16675, 13099, 11535, 568, 513, 11684, 12146, 602, 666, 581, 1031, 538, 513, 3099, 540, 8286, 269, 3371, 616, 930, 2635, 543, 8949, 3039, 13099, 11535, 10346, 547, 2119, 912, 16675, 14466, 11535, 6428, 611, 454, 1607, 24253, 19997, 568, 513, 2442, 21487, 8670, 602, 10905, 519, 29511, 1465, 540, 3039, 13099, 11535, 609, 519, 12050, 10366, 540, 18654, 267, 3165, 14036, 267, 543, 669, 559, 2080, 779, 875, 547, 1118, 621, 912, 268, 476, 272, 1507, 3039, 13099, 11535, 267, 22019, 539, 543, 27054, 4765, 454, 268, 476, 273, 13342, 804, 7174, 267, 1295, 1027, 454, 268, 476, 273, 512, 26138, 3165, 14036, 454, 268, 476, 273, 512, 26138, 18654, 10433, 454, 268, 476, 272, 512, 26138, 6960, 4006, 454, 268, 476, 272, 268, 273, 6177, 779, 3750, 669, 25788, 267, 1295, 1027, 454, 268, 476, 272, 19625, 540, 22269, 14274, 267, 10300, 1386, 454, 268, 476, 272, 19625, 540, 3039, 10365, 267, 2759, 883, 476, 273, 20878, 4773, 454, 268, 476, 272, 270, 275, 7484, 28777, 30637, 267, 16760, 454, 268, 18610, 524, 559, 656, 549, 3762, 267, 585, 21959, 880, 454, 268, 769, 513, 1507, 12826, 267, 31953, 1927, 519, 13342, 267, 3165, 14036, 267, 18654, 10433, 267, 543, 6960, 4006, 2394, 519, 4006, 568, 15702, 563, 268, 769, 513, 1804, 12826, 267, 9192, 519, 27054, 4765, 3039, 13099, 11535, 267, 22269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3403, 2891, 6011, 1454, 798, 596, 1118, 12422, 286, 5602, 2745, 263, 2335, 783, 5334, 531, 776, 994, 704, 1417, 5334, 8491, 815, 3403, 2891, 10938, 519, 2600, 540, 14057, 547, 4688, 267, 607, 513, 8918, 5602, 15251, 5334, 8491, 815, 10581, 263, 2335, 783, 5334, 531, 776, 264, 2608, 10581, 263, 704, 1417, 5334, 8491, 994, 2745, 263, 15251, 5334, 8491, 994, 258, 1699, 5334, 822, 902, 815, 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 ]

[ 4777, 596, 917, 945, 3213, 778, 9652, 14659, 616, 519, 1283, 1614, 5716, 593, 938, 2319, 12482, 297, 600, 531, 695, 745, 13949, 1010, 17525, 269, 834, 5591, 2856, 267, 855, 594, 914, 621, 781, 803, 267, 6599, 534, 267, 543, 14977, 2401, 1701, 1261, 1989, 514, 2740, 18390, 1354, 546, 1026, 17331, 519, 3440, 1063, 1010, 7953, 269, 8528, 288, 9366, 695, 809, 1200, 2212, 267, 12902, 1200, 4064, 1404, 2685, 693, 11918, 531, 781, 1582, 12431, 3293, 1145, 269, 834, 2005, 781, 4440, 23183, 267, 8885, 267, 543, 1287, 2901, 6599, 534, 610, 14977, 2401, 267, 4470, 593, 952, 3213, 778, 2418, 25213, 936, 8878, 3010, 300, 807, 3787, 1200, 2539, 9067, 6179, 3585, 267, 18516, 2436, 1352, 4941, 547, 2307, 1200, 1985, 2243, 269, 834, 4517, 1862, 6343, 798, 596, 1589, 938, 1367, 9342, 616, 12482, 257, 11039, 267, 1250, 8929, 568, 13417, 31463, 762, 10590, 11918, 531, 608, 13094, 1510, 7508, 513, 10726, 269, 834, 10870, 778, 3081, 594, 723, 5140, 1106, 543, 666, 9496, 689, 9170, 593, 519, 5480, 3010, 288, 9366, 20493, 27145, 693, 1200, 3659, 269, 834, 300, 807, 267, 707, 3432, 543, 22231, 1118, 596, 606, 6909, 1219, 2658, 269, 1411, 2141, 4383, 547, 21102, 519, 3440, 1394, 950, 649, 991, 621, 1034, 1701, 2701, 17328, 4310, 267, 6236, 1200, 1378, 1983, 269, 834, 2026, 585, 803, 267, 594, 7058, 1250, 4463, 2337, 803, 10544, 1346, 9157, 6450, 2432, 267, 543, 594, 960, 1134, 896, 2604, 1282, 1863, 25001, 3010, 9617, 1287, 267, 6599, 534, 543, 14977, 2401, 8678, 873, 267, 2348, 23986, 731, 519, 2766, 1439, 540, 741, 6643, 780, 257, 3383, 267, 1018, 2990, 1281, 3025, 1616, 547, 1404, 538, 519, 2462, 3014, 14182, 8119, 4280, 6599, 534, 267, 513, 561, 1678, 344, 7911, 609, 14296, 945, 6068, 1835, 684, 4221, 2338, 3592, 607, 1454, 607, 4730, 14912, 780, 307, 344, 2401, 267, 513, 2178, 543, 14980, 1826, 267, 6743, 15826, 585, 513, 4090, 1354, 6340, 909, 269, 834, 2171, 1058, 1445, 593, 10888, 1101, 267, 1287, 5855, 827, 7158, 2663, 3010, 4263, 602, 1360, 8216, 267, 3213, 778, 9652, 5605, 1194, 2509, 519, 1895, 267, 1010, 2479, 1790, 6974, 17157, 4580, 512, 26786, 896, 1010, 6186, 269, 22628, 519, 2503, 656, 5654, 593, 519, 1453, 781, 8188, 267, 646, 4956, 621, 729, 942, 547, 2232, 23183, 781, 4505, 13214, 780, 257, 2704, 2431, 267, 620, 2431, 2437, 669, 3089, 1194, 3213, 778, 9652, 267, 27012, 1010, 3946, 1927, 269, 834, 7712, 596, 782, 3100, 865, 8049, 267, 1577, 781, 1865, 938, 1283, 1614, 5716, 543, 741, 9757, 9342, 3010, 3891, 1085, 10165, 519, 11235, 8188, 1354, 11173, 269, 834, 3086, 3314, 267, 11570, 1107, 1169, 2582, 835, 540, 596, 814, 1945, 2189, 547, 3142, 547, 519, 3349, 267, 855, 891, 1614, 2043, 1796, 856, 1813, 547, 741, 11108, 5759, 3010, 290, 548, 2130, 1010, 11563, 13497, 267, 3213, 778, 9652, 31570, 1010, 17157, 4580, 269, 834, 5978, 1101, 6345, 568, 9039, 824, 982, 11918, 531, 256, 3571, 15246, 6111, 568, 5963, 7415, 267, 1818, 1864, 606, 17170, 10697, 8164, 649, 1265, 6000, 911, 4979, 3297, 3010, 297, 600, 531, 25858, 539, 1010, 9221, 856, 23217, 267, 1666, 6362, 538, 519, 17192, 780, 308, 526, 2678, 1042, 676, 11918, 531, 781, 5114, 267, 3213, 778, 4797, 269, 834, 9202, 909, 267, 649, 723, 2997, 320, 269, 4173, 6450, 15929, 23258, 5849, 602, 649, 2226, 15896, 540, 519, 3440, 267, 4758, 721, 15792, 3255, 547, 6060, 3010, 288, 9366, 581, 3139, 693, 1373, 6444, 585, 1200, 3646, 267, 12162, 3429, 3507, 8271, 693, 3213, 778, 9652, 780, 7661, 267, 3213, 778, 5828, 1010, 3007, 547, 23183, 267, 4171, 2295, 1236, 5792, 513, 10726, 538, 24736, 269, 834, 8310, 855, 6157, 711, 2547, 267, 972, 781, 23183, 269, 4173, 2656, 3206, 543, 562, 574, 1076, 3723, 1740, 1450, 1200, 547, 9505, 1524, 1256, 519, 4739, 5006, 17837, 267, 15980, 1200, 519, 2140, 540, 938, 5728, 14049, 3010, 300, 807, 7948, 1405, 948, 855, 1025, 2313, 693, 519, 6397, 5360, 2939, 267, 18507, 585, 1200, 2319, 10863, 262, 11215, 1159, 3796, 780, 4913, 267, 1919, 3576, 513, 2490, 585, 519, 8338, 1282, 519, 4890, 3014, 950, 11918, 531, 2968, 18930, 539, 609, 18445, 5128, 607, 519, 1655, 6345, 593, 519, 2319, 269, 674, 745, 1598, 730, 676, 513, 3126, 540, 14406, 15833, 267, 646, 8057, 5051, 10728, 267, 23969, 532, 15852, 5716, 543, 554, 690, 3101, 519, 3440, 269, 11531, 267, 2997, 320, 1336, 9887, 10010, 1996, 26339, 10779, 2456, 267, 15819, 1200, 4502, 1369, 519, 2319, 5103, 1200, 5812, 2773, 2429, 2853, 780, 4002, 519, 521, 573, 3894, 267, 3213, 778, 9652, 14478, 27303, 569, 607, 1010, 2899, 23887, 1770, 30477, 3603, 883, 2695, 13741, 1782, 1249, 687, 269, 3807, 950, 646, 729, 827, 547, 1289, 513, 942, 719, 267, 23183, 22283, 4464, 267, 5462, 547, 32006, 720, 519, 3510, 780, 9515, 15504, 11918, 531, 11735, 267, 3168, 1864, 2786, 538, 519, 3750, 269, 834, 2791, 2811, 1732, 982, 713, 267, 11918, 531, 2437, 1352, 1767, 28663, 2943, 16119, 269, 834, 8855, 1946, 649, 3323, 4730, 538, 519, 1101, 1747, 1107, 1317, 621, 781, 1187, 256, 17547, 20468, 827, 1373, 1412, 1492, 1655, 10086, 543, 1175, 2972, 3054, 856, 972, 3010, 2414, 2997, 320, 267, 1352, 6035, 1913, 540, 19015, 269, 834, 10673, 1405, 5635, 3054, 547, 1866, 267, 2997, 320, 269, 10312, 593, 3257, 707, 1655, 267, 543, 3388, 3116, 786, 2887, 883, 1747, 3010, 15463, 791, 668, 696, 340, 533, 788, 2911, 8604, 547, 13469, 609, 1312, 11918, 531, 543, 2997, 320, 267, 20872, 873, 547, 1201, 1371, 741, 19367, 593, 5885, 741, 2319, 2864, 982, 18656, 3101, 538, 4620, 1399, 15180, 1845, 269, 1635, 2324, 1927, 267, 789, 7307, 547, 804, 1177, 741, 1259, 1394, 689, 513, 1713, 1448, 17211, 267, 5555, 6932, 4619, 16124, 9624, 795, 889, 559, 656, 1750, 619, 780, 5475, 1189, 267, 3213, 778, 10356, 1010, 10997, 1472, 1864, 267, 1210, 519, 4316, 547, 5397, 1753, 930, 1271, 1272, 4245, 269, 834, 9213, 781, 3014, 6026, 721, 782, 3407, 4245, 827, 21548, 267, 16177, 267, 543, 9322, 2437, 646, 3459, 27041, 569, 269, 834, 23149, 15421, 666, 1152, 1491, 721, 865, 2484, 282, 3020, 1967, 2501, 689, 9301, 543, 8508, 938, 7104, 4222, 3010, 307, 9506, 2509, 23183, 267, 646, 3773, 16416, 2685, 267, 834, 14188, 596, 585, 22348, 721, 782, 540, 602, 2221, 267, 737, 1342, 334, 269, 2659, 6568, 543, 5718, 941, 4010, 1018, 649, 2877, 547, 7485, 998, 3010, 1103, 519, 4374, 602, 4553, 267, 519, 32712, 23516, 338, 4682, 593, 547, 3094, 1896, 811, 3756, 267, 6038, 17516, 519, 23594, 1222, 2140, 585, 2933, 543, 26587, 3213, 778, 9652, 513, 17501, 24214, 6202, 269, 2859, 11932, 267, 2705, 267, 519, 1995, 4547, 519, 2468, 334, 6251, 1927, 267, 1128, 3739, 538, 873, 1898, 21644, 899, 8296, 267, 8699, 267, 543, 6043, 1107, 7907, 602, 1131, 17216, 4196, 873, 1134, 1312, 593, 543, 1055, 519, 5480, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 18658, 616, 519, 1283, 1614, 5716, 593, 519, 2319, 543, 1018, 616, 741, 1367, 9342, 888, 296, 3112, 3313, 519, 2319, 596, 616, 13288, 547, 269, 24963, 1683, 811, 9355, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 8080, 547, 938, 3408, 540, 28626, 27565, 1143, 256, 901, 2856, 8813, 896, 519, 8273, 22597, 540, 2797, 4978, 1634, 607, 11122, 32236, 543, 12666, 1143, 269, 2913, 781, 4685, 883, 1018, 2306, 11636, 5391, 5644, 8743, 780, 4263, 922, 4295, 267, 11636, 12666, 1143, 6212, 593, 1818, 2386, 3025, 814, 3160, 3255, 547, 8011, 1247, 7863, 1004, 945, 1522, 991, 930, 3063, 948, 269, 5994, 596, 543, 707, 2828, 941, 4730, 513, 3014, 1927, 269, 1403, 835, 3659, 2141, 3893, 13603, 2063, 585, 6887, 610, 7012, 1405, 2016, 513, 4023, 4960, 547, 1404, 267, 596, 1522, 1589, 621, 729, 15490, 269, 589, 11636, 12666, 1131, 1616, 547, 1689, 519, 3652, 865, 602, 3025, 4991, 513, 2490, 543, 7959, 3769, 269, 1358, 3494, 538, 2324, 1927, 547, 1711, 513, 2486, 1141, 1100, 835, 568, 2451, 3297, 780, 3086, 1577, 781, 2736, 1524, 1614, 1883, 3344, 540, 11636, 12666, 1143, 1384, 272, 269, 25734, 543, 31621, 281, 3807, 899, 1169, 6345, 16462, 513, 4023, 8929, 693, 10627, 538, 938, 3014, 1383, 267, 11636, 5391, 5644, 1616, 782, 2043, 547, 723, 3160, 1569, 547, 2200, 543, 8458, 547, 3035, 741, 3853, 269, 1280, 3236, 267, 789, 949, 7903, 585, 4507, 4180, 6690, 543, 8695, 666, 7390, 1153, 8449, 267, 7488, 540, 1141, 789, 2661, 269, 1635, 3257, 713, 267, 649, 6536, 606, 1604, 1141, 3025, 814, 606, 4316, 547, 3914, 741, 2407, 1761, 780, 273, 269, 19938, 540, 24371, 281, 16514, 3054, 3843, 856, 585, 513, 5026, 2319, 269, 14348, 333, 1405, 621, 581, 24858, 952, 824, 5716, 1750, 730, 676, 1210, 5728, 2706, 335, 10183, 286, 6684, 267, 11636, 5391, 5644, 1810, 1405, 899, 621, 950, 2462, 3549, 946, 741, 1379, 15490, 569, 269, 2334, 781, 1946, 789, 12167, 585, 4031, 602, 1832, 4213, 9237, 543, 2327, 6800, 5749, 1405, 3144, 5413, 540, 1107, 1175, 899, 875, 22275, 525, 17997, 3652, 1282, 3756, 269, 1452, 6042, 3895, 513, 1377, 4730, 2361, 585, 1312, 1507, 4213, 543, 1804, 14078, 7567, 780, 274, 269, 4317, 8881, 715, 1115, 281, 6884, 267, 1256, 950, 1272, 25001, 721, 7455, 27750, 267, 11636, 5391, 5644, 3494, 972, 1058, 1869, 581, 2081, 547, 6952, 6000, 1354, 9991, 1932, 2484, 269, 6056, 827, 2348, 513, 2121, 2630, 1346, 1164, 911, 701, 8240, 693, 519, 2235, 639, 282, 1514, 3106, 24437, 960, 13974, 538, 2486, 269, 6201, 1331, 13864, 2640, 4543, 2576, 1265, 1007, 960, 1310, 9561, 513, 2816, 610, 3782, 3292, 21528, 3885, 609, 2564, 3790, 269, 28626, 5391, 5644, 8044, 891, 3800, 2061, 23434, 689, 4742, 31837, 25236, 762, 9465, 780, 1103, 5758, 267, 11636, 5391, 5644, 2832, 585, 513, 1158, 1141, 3025, 4249, 676, 519, 1482, 3652, 543, 11392, 3160, 3255, 547, 8853, 269, 1358, 5000, 15725, 4213, 547, 2226, 14619, 543, 3715, 28863, 1996, 27644, 2591, 998, 1514, 3106, 24437, 269, 3767, 979, 8521, 543, 2671, 707, 1620, 540, 11636, 12666, 1143, 609, 1866, 910, 3314, 267, 10825, 1702, 2337, 1628, 6793, 2950, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 11823, 22315, 1449, 281, 13017, 454, 29381, 11749, 1132, 1449, 281, 13017, 454, 5141, 657, 652, 26969, 281, 1323, 1105, 334, 4211, 2174, 684, 1143, 454, 2304, 1105, 334, 4211, 2174, 684, 1143, 568, 513, 1106, 540, 29450, 1143, 602, 15156, 585, 519, 20552, 540, 16851, 543, 519, 1533, 267, 607, 1134, 607, 519, 7104, 9562, 540, 519, 1797, 540, 2504, 269, 1323, 1105, 334, 4211, 2174, 684, 1235, 1489, 513, 18228, 4346, 543, 2229, 267, 609, 1323, 1105, 334, 4149, 344, 526, 673, 1143, 1373, 513, 1455, 1259, 540, 12180, 971, 513, 2486, 563, 9202, 14191, 13292, 454, 268, 7027, 4004, 1143, 281, 476, 9032, 269, 276, 14999, 268, 7027, 4004, 1143, 568, 513, 1106, 540, 19382, 4004, 1143, 602, 7153, 538, 5125, 543, 26652, 538, 519, 2038, 268, 736, 628, 2540, 269, 7027, 4004, 1235, 7947, 7589, 538, 12666, 9111, 267, 1489, 21245, 26201, 267, 543, 3494, 538, 771, 11391, 1077, 532, 2797, 6105, 538, 3870, 540, 519, 4600, 685, 5646, 15078, 563, 268, 19889, 268, 2304, 1105, 1143, 281, 476, 11011, 269, 274, 14999, 268, 19889, 268, 2304, 1105, 1143, 267, 610, 5682, 1323, 1105, 1143, 267, 568, 513, 1106, 540, 29450, 1143, 602, 4025, 513, 1880, 8561, 593, 2825, 2152, 269, 898, 568, 1419, 5532, 547, 811, 3982, 19237, 971, 607, 1323, 1105, 334, 4149, 344, 526, 673, 1143, 269, 19889, 268, 2304, 1105, 1235, 616, 3622, 12316, 543, 1489, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3682, 326, 4809, 27565, 1143, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 11572, 8211, 3098, 1315, 20271 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 513, 5616, 22553, 13658, 883, 5616, 15858, 888, 12812, 1934, 547, 1451, 827, 519, 9238, 540, 5616, 4813, 689, 7705, 3223, 601, 518, 563, 263, 273, 264, 8437, 593, 519, 23994, 834, 290, 690, 20253, 601, 257, 12835, 543, 3442, 519, 19532, 22003, 313, 2464, 9184, 547, 2490, 593, 519, 7688, 4183, 563, 2791, 666, 849, 1039, 16148, 2055, 547, 519, 5616, 4813, 269, 1717, 267, 596, 786, 991, 547, 2824, 834, 30952, 267, 1310, 8261, 2689, 257, 896, 519, 24793, 6103, 4259, 5079, 269, 3767, 267, 519, 9344, 786, 581, 5950, 1310, 596, 4312, 1185, 513, 4960, 547, 14350, 1224, 270, 14079, 519, 6114, 563, 7230, 5407, 281, 2991, 596, 2490, 707, 5616, 4813, 883, 513, 13658, 267, 596, 786, 991, 547, 979, 1394, 883, 519, 1106, 547, 2697, 519, 2953, 2626, 5079, 269, 1411, 666, 849, 1039, 5955, 585, 2953, 543, 11234, 6114, 563, 2691, 596, 4945, 593, 519, 7084, 538, 707, 20837, 267, 621, 1058, 8850, 1491, 596, 547, 519, 22295, 7728, 20796, 298, 9184, 269, 570, 3796, 585, 1142, 2875, 1058, 1402, 3634, 609, 513, 22739, 585, 1142, 2875, 267, 1175, 899, 824, 5616, 9022, 10467, 267, 543, 596, 3513, 581, 2111, 547, 1294, 945, 568, 667, 821, 543, 3502, 667, 821, 563, 5475, 14467, 29313, 18306, 16998, 4696, 2464, 538, 519, 1283, 1318, 7944, 267, 519, 7688, 8464, 1058, 2408, 593, 519, 8464, 18694, 547, 519, 2451, 2427, 540, 519, 2985, 269, 23657, 14350, 610, 676, 14467, 834, 5472, 4841, 2580, 4945, 519, 681, 4953, 7838, 301, 9184, 547, 6494, 891, 8464, 547, 707, 1053, 563, 1692, 798, 1053, 1265, 741, 5616, 22553, 13658, 8464, 538, 5616, 15858, 888, 5629, 1053, 4945, 883, 834, 7312, 4518, 257, 782, 540, 741, 10467, 786, 581, 7396, 2059, 609, 602, 7084, 781, 4567, 630, 328, 4318, 269, 2667, 11220, 267, 31932, 267, 12414, 539, 769, 1070, 610, 952, 621, 781, 1044, 28439, 267, 519, 6060, 786, 581, 7396, 607, 519, 4567, 269, 0, 1432, 6496, 898, 6399, 1879, 589, 19504, 6796, 13669, 802, 6168, 30027, 748, 22627, 454, 763, 2165, 968, 13678, 6714, 748, 4296, 892, 3622, 4016, 547, 519, 1297, 540, 3457, 602, 666, 581, 4448, 547, 519, 19504, 3028, 543, 2911, 547, 519, 4950, 693, 2899, 269, 1280, 1383, 267, 950, 594, 729, 6117, 2066, 519, 2197, 543, 2324, 538, 1250, 15678, 4055, 693, 3781, 267, 594, 1419, 1185, 1312, 1250, 5839, 9349, 1160, 543, 27317, 4448, 547, 519, 4950, 563, 296, 1031, 519, 5839, 9349, 1160, 585, 1603, 267, 5329, 519, 27317, 1930, 547, 798, 19707, 543, 1265, 5885, 1344, 269, 5637, 540, 891, 941, 4448, 547, 519, 4950, 693, 835, 942, 269, 901, 729, 2009, 1317, 519, 19504, 3028, 594, 729, 1210, 4847, 909, 547, 1614, 4296, 547, 1930, 693, 2899, 563, 1607, 568, 849, 513, 1434, 1259, 547, 1683, 1489, 585, 811, 982, 835, 1920, 4759, 593, 513, 2582, 20478, 269, 13575, 267, 972, 779, 1100, 1434, 2601, 585, 513, 19504, 8502, 547, 1450, 1447, 982, 1079, 610, 1614, 4296, 269, 1403, 707, 8502, 1152, 2636, 835, 267, 1265, 1776, 29449, 269, 1284, 5795, 3063, 2798, 538, 938, 19504, 15682, 547, 1346, 21527, 945, 4847, 1614, 610, 811, 4296, 563, 1432, 1772, 589, 19504, 1656, 1215, 6496, 898, 13363, 2725, 454, 288, 19504, 568, 606, 813, 602, 596, 3888, 593, 707, 3926, 547, 948, 1832, 707, 2123, 1239, 2922, 607, 596, 19584, 519, 4950, 454, 2791, 949, 723, 4862, 602, 19504, 8924, 2661, 593, 707, 3926, 543, 1450, 596, 547, 1921, 547, 519, 4950, 18172, 269, 1548, 602, 1797, 568, 267, 950, 596, 2490, 707, 19504, 813, 593, 267, 707, 3926, 2306, 513, 5150, 4276, 547, 513, 7463, 2780, 602, 11507, 4950, 6808, 267, 1572, 513, 19504, 7746, 269, 1411, 849, 949, 723, 4862, 602, 707, 4276, 568, 20386, 538, 606, 24290, 15993, 799, 1797, 707, 3926, 543, 519, 7746, 2671, 513, 5150, 4276, 865, 1152, 596, 666, 1294, 1018, 596, 516, 3257, 593, 519, 4950, 563, 1692, 6496, 19504, 4518, 454, 4131, 779, 1376, 609, 519, 2596, 2856, 540, 4950, 2792, 269, 14597, 596, 2461, 693, 707, 11380, 543, 596, 1616, 547, 1569, 513, 3896, 899, 2098, 291, 15187, 269, 1677, 798, 713, 267, 707, 2780, 4384, 919, 513, 7662, 676, 11488, 930, 21168, 269, 1403, 596, 2461, 538, 606, 5604, 267, 1346, 21168, 1419, 2951, 998, 17176, 543, 31425, 593, 707, 29135, 1354, 789, 616, 11843, 547, 519, 1857, 4950, 998, 513, 18760, 563, 5629, 593, 519, 1857, 4950, 267, 1346, 21168, 2951, 998, 513, 19619, 540, 5904, 269, 589, 5094, 7662, 568, 1500, 547, 513, 3126, 540, 2012, 13763, 547, 14377, 519, 22665, 2012, 2098, 291, 15187, 2593, 547, 606, 7379, 2232, 269, 2334, 1344, 568, 2366, 1394, 547, 707, 11422, 267, 799, 1287, 15920, 519, 7662, 1586, 998, 1082, 5904, 593, 519, 1857, 4950, 269, 16828, 267, 621, 10301, 519, 2098, 291, 15187, 5989, 267, 799, 849, 11507, 1346, 21168, 267, 1178, 2125, 513, 1357, 2985, 2073, 543, 15920, 782, 602, 1394, 547, 596, 563, 10376, 4950, 7662, 2356, 2164, 538, 513, 2898, 3126, 540, 2792, 2621, 1063, 2789, 2798, 269, 634, 1259, 513, 19504, 1568, 568, 676, 17278, 532, 1346, 21168, 693, 519, 23608, 1448, 267, 1419, 15720, 519, 1239, 543, 519, 1344, 827, 707, 23608, 7379, 2232, 269, 634, 19504, 3301, 593, 707, 1439, 1287, 15920, 1346, 21168, 547, 519, 19504, 7746, 693, 930, 10278, 1448, 267, 1232, 7973, 532, 602, 1344, 563, 3080, 540, 519, 1034, 1271, 2152, 538, 1620, 519, 7182, 540, 19504, 338, 568, 1620, 1141, 519, 1439, 4812, 540, 519, 19504, 7746, 29084, 269, 1284, 3580, 2911, 827, 602, 1985, 563, 27775, 2105, 7335, 281, 645, 785, 7780, 528, 1370, 1677, 19504, 454, 8256, 18790, 1548, 589, 19504, 6496, 3502, 1684, 9701, 1411, 12846, 2422, 2290, 454, 8133, 267, 540, 1576, 563, 288, 2603, 540, 519, 1919, 513, 19504, 1281, 711, 798, 616, 1152, 968, 9526, 10587, 892, 1813, 547, 25749, 610, 1808, 7653, 1547, 6875, 873, 856, 540, 519, 3830, 267, 543, 596, 2461, 2451, 609, 513, 1360, 22510, 3028, 563, 9617, 1055, 519, 1283, 540, 938, 9843, 267, 513, 19504, 786, 3247, 19961, 31462, 1777, 1782, 267, 5732, 2061, 667, 2710, 306, 6285, 267, 17278, 707, 1239, 2073, 21271, 2520, 334, 15918, 4169, 543, 3595, 31486, 267, 1118, 8731, 1370, 532, 10930, 267, 543, 12404, 707, 3059, 29066, 4586, 8196, 621, 1927, 609, 824, 3354, 3435, 2073, 543, 596, 4076, 3893, 606, 5140, 1259, 547, 1832, 707, 1239, 543, 7834, 2922, 593, 519, 1357, 563, 2252, 596, 8910, 899, 547, 1265, 856, 811, 827, 519, 829, 802, 540, 1210, 513, 19504, 610, 1175, 1451, 875, 513, 19504, 1568, 267, 2638, 856, 938, 2347, 3391, 593, 19504, 338, 563, 309, 14149, 21964, 281, 5901, 2659, 6732, 932, 1846, 17721, 454, 4407, 972, 616, 513, 1297, 540, 5150, 20261, 8924, 2139, 2073, 1082, 2442, 8924, 1810, 1406, 2709, 14238, 267, 610, 2154, 596, 547, 1904, 2987, 2864, 982, 1904, 13050, 269, 1403, 707, 20261, 3884, 1406, 24290, 972, 779, 513, 4960, 621, 1223, 581, 18448, 539, 676, 606, 16080, 3187, 563, 9827, 267, 1247, 621, 4465, 1406, 1860, 707, 2834, 1591, 5365, 267, 513, 19504, 666, 948, 2149, 707, 27215, 7709, 7125, 269, 1656, 267, 1256, 952, 707, 3028, 2488, 14238, 607, 3044, 267, 1210, 513, 19504, 607, 606, 3063, 4494, 540, 4027, 786, 2285, 596, 519, 15260, 4269, 602, 596, 2731, 666, 3717, 707, 2247, 563, 5649, 811, 827, 519, 1655, 5985, 19504, 8924, 2139, 2221, 454, 2791, 2904, 6145, 281, 3733, 7638, 714, 517, 28509, 7731, 12476, 454, 26835, 15822, 2201, 5398, 654, 604, 328, 17978, 454, 7336, 334, 1746, 1857, 31923, 5121, 547, 5531, 1239, 568, 2241, 543, 11212, 10464, 269, 595, 3234, 10904, 666, 1491, 5413, 540, 1930, 543, 796, 16780, 7973, 539, 5121, 547, 21102, 1271, 1239, 899, 707, 4871, 3877, 267, 5491, 6486, 267, 6337, 267, 543, 824, 2123, 1344, 563, 2691, 596, 946, 519, 1857, 31923, 4276, 538, 513, 22538, 2946, 267, 15678, 267, 610, 19633, 596, 616, 8380, 707, 6213, 2123, 1239, 693, 1981, 563, 295, 871, 619, 616, 5051, 13389, 20730, 543, 10918, 544, 8712, 538, 13287, 540, 1164, 17032, 9072, 269, 901, 568, 1500, 4443, 609, 10464, 3937, 602, 3947, 3592, 4896, 519, 2702, 547, 1491, 5413, 540, 1857, 31923, 5121, 585, 896, 1269, 4200, 563, 288, 19504, 666, 581, 1031, 547, 2149, 3054, 689, 713, 2186, 540, 3463, 269, 898, 786, 17278, 707, 4950, 6808, 543, 1118, 621, 3592, 7543, 585, 21190, 547, 1174, 543, 17908, 707, 1239, 563, 2690, 713, 2601, 267, 513, 19504, 568, 606, 17170, 1907, 952, 596, 2951, 4749, 543, 5781, 946, 1930, 31923, 5121, 563, 4462, 31695, 5121, 693, 1753, 616, 849, 513, 1981, 269, 1306, 6552, 960, 3587, 811, 1455, 267, 20737, 616, 7432, 741, 3007, 2509, 7925, 1753, 5121, 513, 2259, 1634, 607, 20758, 337, 1516, 563, 2252, 596, 516, 7255, 827, 707, 3354, 593, 1857, 5121, 267, 1224, 938, 3391, 547, 9363, 2922, 593, 1857, 31923, 563, 306, 9331, 300, 14473, 281, 309, 14149, 2533, 17278, 782, 519, 6808, 6028, 707, 3926, 269, 901, 1797, 596, 666, 946, 513, 19504, 547, 2149, 707, 6213, 1239, 593, 796, 31695, 31923, 5121, 269, 1403, 606, 30429, 18448, 338, 707, 4276, 267, 789, 786, 1152, 1294, 12673, 540, 16662, 3485, 1043, 5022, 543, 2338, 563, 1103, 589, 715, 7491, 17850, 1215, 6496, 589, 19504, 4518, 454, 1103, 2110, 267, 513, 19504, 28570, 338, 707, 6808, 2476, 689, 707, 4959, 303, 779, 13763, 543, 6494, 621, 998, 922, 1378, 269, 2755, 3257, 602, 267, 621, 17278, 338, 621, 865, 1100, 835, 3116, 666, 1224, 621, 267, 1256, 621, 941, 547, 581, 18448, 539, 563, 309, 14149, 338, 946, 513, 1297, 540, 1114, 10873, 547, 4483, 707, 1239, 267, 609, 7046, 309, 14149, 543, 18514, 10817, 731, 1631, 2808, 519, 1034, 2442, 543, 5150, 563, 4407, 19504, 338, 1599, 1134, 547, 2149, 707, 1239, 267, 1082, 946, 873, 547, 796, 23026, 18297, 1543, 689, 18246, 269, 2334, 779, 2009, 7064, 547, 2518, 5121, 540, 13763, 11262, 676, 513, 1880, 3028, 267, 543, 676, 23332, 998, 513, 7746, 538, 513, 1114, 1858, 267, 596, 666, 8945, 4609, 883, 3206, 602, 596, 2461, 2731, 972, 563, 14454, 267, 19504, 338, 616, 5393, 13561, 3156, 543, 1683, 6266, 540, 1114, 3252, 269, 3767, 602, 596, 917, 811, 827, 875, 789, 960, 267, 596, 1058, 581, 538, 513, 1732, 2990, 547, 3442, 513, 19504, 8502, 602, 17015, 782, 707, 2115, 269, 1717, 267, 952, 596, 323, 899, 547, 1451, 811, 827, 19504, 338, 267, 2638, 856, 938, 1548, 568, 513, 19504, 286, 3391, 563, 10673, 1406, 7323, 281, 1215, 1677, 24296, 889, 18285, 3245, 20918, 341, 335, 333, 454, 17809, 728, 8881, 3414, 1323, 7716, 640, 454, 2691, 1210, 513, 19504, 267, 707, 3060, 1344, 5526, 607, 952, 621, 568, 4947, 689, 513, 4087, 1114, 982, 707, 1378, 269, 901, 24320, 1047, 585, 3060, 1239, 2337, 1832, 19504, 3755, 2922, 267, 1317, 4896, 3168, 547, 21102, 1344, 1131, 581, 3478, 519, 19504, 13763, 1239, 3079, 269, 4635, 513, 19504, 8952, 519, 3593, 779, 4087, 543, 824, 3407, 1344, 5150, 543, 538, 17739, 1043, 676, 13311, 6105, 563, 4692, 594, 5192, 589, 5131, 19504, 454, 2690, 513, 1279, 942, 267, 621, 729, 1945, 540, 513, 1854, 1143, 602, 968, 604, 596, 1810, 1406, 2628, 585, 513, 1587, 1287, 596, 616, 519, 1587, 6100, 2311, 1655, 596, 1223, 946, 513, 1360, 3908, 1863, 3028, 602, 729, 2370, 811, 982, 513, 512, 2120, 585, 513, 6976, 16519, 3028, 602, 1522, 2965, 1616, 547, 946, 563, 1607, 3510, 814, 4957, 936, 519, 2063, 7008, 540, 1296, 267, 543, 972, 616, 1631, 693, 2547, 513, 7008, 540, 1863, 19504, 2533, 856, 972, 799, 616, 2965, 3833, 1434, 269, 4634, 891, 616, 3908, 538, 1585, 2081, 267, 1498, 267, 3379, 547, 811, 14167, 2533, 269, 1284, 723, 1336, 602, 10464, 19504, 2533, 616, 1851, 519, 1655, 593, 519, 2344, 269, 19504, 338, 609, 519, 1034, 8179, 1310, 2934, 666, 581, 1336, 585, 1447, 982, 1269, 273, 513, 3923, 563, 9827, 6744, 281, 18124, 341, 335, 333, 1280, 11197, 7641, 454, 20376, 675, 17583, 1280, 22647, 4518, 454, 19968, 525, 2221, 991, 547, 2015, 4950, 3106, 811, 982, 2479, 269, 2060, 811, 1004, 982, 2479, 2324, 689, 1753, 267, 6213, 2754, 543, 6075, 1344, 568, 693, 513, 2362, 1981, 540, 17403, 563, 2690, 1383, 267, 2161, 606, 9441 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 997, 345, 9346, 28804, 2020, 825, 1219, 1449, 7272, 1512, 9749, 2763, 318, 2041, 345, 10734, 558, 2421, 4311, 2187, 1038, 5727, 310, 344, 330, 517, 534, 773, 476, 1015, 1449, 6759, 342, 1990, 737, 331, 1731, 14269, 384, 503, 857, 655, 9419, 565, 928, 2998, 1135, 320, 530, 1631, 324, 329, 1989, 2763, 267, 25697, 385, 376, 1372, 512, 752, 773, 15393, 4073, 4883, 334, 676, 24089, 530, 565, 928, 5212, 1295, 344, 27969, 454, 1038, 2119, 321, 815, 1412, 330, 7055, 1038, 929, 345, 2988, 611, 330, 578, 324, 7272, 7637, 815, 27883, 12690, 20120, 9792, 4311, 6155, 29888, 8113, 1070, 4351, 20120, 9792, 4311, 4732, 10045, 758, 8113, 4297, 585, 9041, 538, 2039, 263, 1015, 22708, 1038, 585, 1535, 267, 586, 538, 929, 345, 2988, 611, 330, 578, 324, 7272, 7637, 912, 2018, 1631, 320, 318, 680, 753, 5633, 815, 1292, 269, 5522, 753, 5633, 4311, 6155, 29888, 8113, 267, 1582, 4732, 10045, 758, 8113, 267, 1582, 269, 997, 345, 9346, 28804, 994, 2018, 676, 5055, 10734, 4861, 320, 815, 1631, 320, 318, 680, 753, 5633, 269, 5793, 752, 322, 10937, 6025, 787, 321, 267, 1535, 267, 586, 994, 2018, 1582, 20596, 16178, 263, 2421, 5055, 10734, 4861, 320, 2020, 825, 1219, 1449, 318, 14567, 23950, 3570, 4311, 2187, 1038, 5727, 307, 12239, 476, 273, 269, 910, 28822, 1731, 14269, 384, 503, 322, 773, 1135, 320, 267, 530, 344, 23410, 342, 2884, 5055, 23313, 384, 503, 6132, 345, 9346, 1295, 530, 521, 384, 483, 338, 1221, 345, 13512, 773, 1135, 320, 692, 11434, 570, 12239, 476, 275, 269, 910, 28822, 1731, 14269, 384, 503, 322, 773, 1135, 320, 575, 11276, 2909, 330, 1295, 530, 521, 384, 483, 338, 1221, 345, 13512, 773, 692, 1038, 570, 12239, 476, 276, 269, 910, 23520, 333, 659, 7999, 773, 1135, 320, 795, 752, 334, 968, 14654, 795, 652, 1295, 320, 892, 910, 6132, 345, 23364, 12063, 333, 659, 345, 3415, 577, 4073, 514, 1329, 530, 345, 4592, 333, 384, 483, 24089, 522, 476, 272, 12163, 1038, 4351, 269, 23092, 263, 9340, 272, 994, 1038, 1582, 269, 852, 320, 318, 680, 753, 5633, 9884, 903, 342, 2884, 331, 4590, 1038, 26723, 520, 22448, 7272, 1961, 322, 523, 773, 815, 546, 338, 4877, 1961, 322, 29646, 21014, 4590, 1038, 585, 2119, 321, 267, 1535, 267, 586, 538, 546, 338, 4877, 1961, 322, 29646, 912, 2018, 1582, 20596, 16178, 4311, 269, 852, 320, 318, 680, 753, 5633, 4877, 19390, 539, 2106, 322, 5414, 318, 745, 577, 6025, 787, 321, 267, 1535, 267, 586, 4917, 1038, 1582, 20596, 12148, 4311, 269, 852, 320, 318, 680, 753, 5633, 4877, 19390, 539, 2106, 322, 5414, 318, 745, 577, 28949, 739, 520, 22448, 7272, 1961, 322, 523, 773, 11723, 825, 1219, 1449, 318, 1440, 345, 1122, 337, 3570, 4311, 2187, 1038, 5727, 307, 12239, 476, 274, 269, 910, 28822, 1731, 14269, 384, 503, 322, 773, 1135, 320, 267, 530, 344, 23410, 342, 2884, 5055, 23313, 384, 503, 1295, 320, 267, 1178, 23313, 384, 503, 32748, 385, 482, 322, 5414, 2437, 3269, 454, 1038, 4351, 269, 23092, 263, 19442, 273, 994, 1038, 1582, 269, 852, 320, 318, 680, 753, 5633, 9884, 903, 342, 2884, 331, 4590, 1038, 522, 16330, 773, 7272, 1961, 322, 523, 773, 815, 546, 338, 4877, 1961, 322, 29646, 273, 21014, 4590, 1038, 585, 2119, 321, 267, 1535, 267, 586, 538, 546, 338, 4877, 1961, 322, 29646, 273, 912, 2018, 1582, 20596, 16178, 4311, 269, 852, 320, 318, 680, 753, 5633, 4877, 19390, 539, 2106, 322, 5414, 318, 745, 577, 6025, 787, 321, 267, 1535, 267, 586, 4917, 1038, 1582, 20596, 12148, 4311, 269, 852, 320, 318, 680, 753, 5633, 4877, 19390, 539, 2106, 322, 5414, 318, 745, 577, 28949, 739, 534, 773, 7272, 1961, 322, 523, 773, 11723, 825, 1219, 1449, 318, 345, 333, 752, 318, 345, 777, 344, 11927, 807, 4311, 2187, 1038, 5727, 307, 12239, 476, 277, 269, 23520, 333, 659, 7999, 773, 1135, 320, 795, 752, 334, 968, 14654, 4779, 385, 376, 324, 676, 24089, 1295, 320, 892, 12163, 1038, 585, 2119, 321, 267, 1535, 267, 586, 538, 546, 338, 4877, 1961, 322, 29646, 274, 912, 2018, 1582, 269, 852, 320, 318, 680, 753, 5633, 269, 5793, 752, 322, 10937, 6025, 787, 321, 267, 1535, 267, 586, 994, 1038, 29473, 345, 2131, 12685, 2033, 318, 6853, 339, 1690, 333, 5942, 815, 1496, 454, 2018, 1496, 16178, 316, 2608, 1582, 4732, 10045, 758, 8113, 585, 9041, 538, 2039, 4311, 6155, 29888, 8113, 22708, 1038, 29473, 345, 2131, 12685, 2033, 318, 6853, 339, 1690, 333, 5942, 314, 276, 6012, 274, 316, 815, 6936, 454, 1038, 29473, 345, 2131, 12685, 2033, 318, 6853, 339, 1690, 333, 5942, 314, 274, 6012, 276, 316, 815, 6936, 454, 1038, 678, 345, 1815, 5414, 342, 626, 324, 318, 6853, 339, 1690, 333, 5942, 815, 1496, 454, 2018, 1496, 343, 4877, 12682, 1690, 23364, 585, 1535, 538, 530, 4536, 345, 2639, 2018, 585, 530, 4536, 345, 538, 1582, 269, 852, 320, 318, 680, 753, 5633, 6745, 629, 318, 1440, 5414, 322, 7416, 578, 2639, 1038, 1582, 27863, 16868, 345, 1815, 5414, 342, 626, 324, 318, 6853, 339, 1690, 333, 5942, 267, 29473, 345, 2131, 12685, 2033, 318, 6853, 339, 1690, 333, 5942, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 4590, 0, 1012, 7956, 10624, 538, 5124, 454, 11434, 454, 3698, 1820, 318, 5443, 340, 263, 2567, 11434, 12361, 2659, 10624, 1374, 1934, 454, 825, 1820, 476, 1789, 2608, 29038, 257, 2073, 834, 300, 2894, 308, 257, 2073, 476, 1789, 2608, 29038, 4840, 825, 1820, 834, 272, 269, 32386, 26840, 476, 272, 4840, 825, 1820, 834, 273, 269, 32386, 26840, 476, 273, 4840, 825, 1820, 834, 274, 269, 32386, 26840, 476, 274, 4840, 825, 1820, 834, 275, 269, 32386, 26840, 476, 275, 4840, 825, 1820, 834, 276, 269, 1401, 527, 4840, 825, 1820, 476, 6858, 2608, 29038, 4840, 22322, 31467, 18989, 11434, 692, 3698, 1292, 5443, 340, 263, 2567, 22322, 825, 1247, 8520, 281, 16875, 12361, 2755, 8520, 799, 786, 1832, 2469, 2394, 8520, 815, 8771, 454, 1038, 1820, 318, 5443, 340, 3890, 825, 12361, 2598, 680, 904, 10624, 454, 1038, 3903, 815, 3403, 2891, 11767, 707, 3903, 1496, 272, 268, 1321, 13912, 19515, 1363, 3097, 1038, 952, 3903, 2525, 272, 281, 672, 3097, 2018, 1820, 834, 24464, 340, 476, 272, 814, 1044, 5697, 4840, 2018, 12361, 1411, 666, 1039, 707, 3009, 610, 3252, 1934, 454, 1038, 8640, 3903, 2525, 273, 912, 2018, 1820, 834, 24464, 340, 476, 273, 814, 1044, 5697, 4840, 2018, 12361, 1411, 666, 1039, 707, 3009, 610, 3252, 1934, 454, 1038, 8640, 3903, 2525, 274, 912, 2018, 1820, 834, 24464, 340, 476, 274, 814, 1044, 5697, 4840, 2018, 12361, 1411, 666, 1039, 707, 3009, 610, 3252, 1934, 454, 1038, 8640, 3903, 2525, 275, 912, 2018, 1820, 834, 24464, 340, 476, 275, 814, 1044, 5697, 4840, 2018, 12361, 1411, 666, 1039, 707, 3009, 610, 3252, 1934, 454, 1038, 8640, 3903, 2525, 276, 912, 2018, 1820, 834, 24464, 340, 476, 276, 814, 1044, 5697, 4840, 2018, 12361, 1411, 666, 1039, 707, 3009, 610, 3252, 1934, 454, 2018, 8520, 25716, 1948, 901, 786, 1118, 519, 1247, 8520, 547, 1439, 607, 711, 1871, 540, 8520, 568, 1305, 547, 8771, 454, 1038, 3116, 912, 2018, 1948, 7102, 8870, 11378, 824, 982, 2418, 476, 272, 268, 276, 649, 1820, 606, 5470, 5048, 454, 2018, 6151, 17750, 2891, 2207, 305, 3036, 281, 654, 3994, 7490, 3442, 606, 4781, 1063, 476, 272, 547, 476, 1321, 5602, 0, 18257, 1477, 1724, 269, 3503, 513, 5124, 1982, 547, 4990, 513, 1592, 540, 29005, 21594, 1477, 18257, 1477, 331, 17342, 346, 262, 4486, 9166, 27835, 11357, 4486, 9166, 476, 272, 3686, 267, 27835, 4486, 9166, 27835, 11357, 4486, 9166, 476, 1015, 3686, 267, 27835, 4486, 9166, 27835, 11357, 4486, 9166, 476, 276, 3686, 15947, 331, 31699, 31107, 284, 14433, 552, 281, 552, 9131, 4486, 262, 6012, 262, 11357, 4486, 28710, 516, 2091, 18989, 3418, 2745, 10857, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1646, 563, 15761, 3290, 3397, 1258, 558, 626, 910, 24583, 531, 15867, 1186 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 17296, 2630, 476, 10384, 595, 269, 25289, 568, 1447, 1487, 21063, 982, 9770, 543, 1281, 711, 6338, 23606, 269, 476, 274, 269, 31406, 17296, 568, 2556, 585, 1082, 6211, 6547, 269, 1280, 1383, 267, 1585, 3070, 476, 275, 563, 9773, 6458, 3884, 1406, 1152, 1336, 538, 5144, 267, 543, 621, 3884, 1406, 607, 1434, 585, 707, 3905, 8685, 607, 621, 568, 585, 707, 7633, 630, 520, 2547, 711, 538, 1164, 5666, 1040, 4407, 707, 1216, 1281, 991, 930, 7513, 547, 1832, 707, 9063, 2157, 7059, 267, 2348, 1164, 2157, 2451, 31250, 666, 4734, 18440, 543, 19221, 602, 568, 2352, 547, 4894, 543, 2560, 25289, 10434, 1145, 769, 2659, 12182, 31793, 281, 18421, 1411, 10261, 1677, 5700, 3367, 2859, 19314, 1724, 270, 1321, 270, 1001, 273, 6440, 476, 272, 269, 589, 4062, 540, 11956, 4496, 568, 3773, 547, 513, 3070, 540, 8988, 24277, 269, 476, 273, 269, 1325, 26891, 4496, 568, 3773, 547, 513, 3070, 540, 7601, 263, 2862, 264, 17296, 269, 476, 274, 269, 25756, 3154, 568, 5293, 936, 3905, 7601, 263, 2862, 264, 12547, 269, 476, 275, 269, 9540, 25098, 540, 4396, 9770, 616, 3773, 547, 1216, 269, 476, 276, 269, 25289, 4496, 568, 277, 563, 2704, 26891, 6491, 1679, 1107, 1325, 26891, 568, 1325, 274, 266, 543, 6491, 1679, 568, 12971, 476, 273, 268, 269, 634, 7059, 4542, 568, 1325, 263, 17472, 476, 273, 264, 476, 274, 269, 3503, 519, 2012, 3503, 519, 4542, 623, 321, 5141, 476, 273, 11635, 263, 7656, 264, 6491, 20183, 10878, 476, 273, 290, 476, 273, 302, 476, 275, 25289, 555, 328, 30662, 622, 918, 290, 301, 31406, 9829, 924, 630, 26822, 476, 275, 264, 476, 273, 4596, 476, 274, 21019, 263, 296, 264, 19552, 19923, 263, 17472, 476, 274, 264, 476, 273, 27002, 302, 454, 300, 2426, 21167, 630, 4942, 848, 565, 639, 2234, 9332, 639, 700, 4700, 25168, 1156, 565, 1349, 22887, 340, 919, 11956, 14001, 3556, 3999, 16464, 640, 998, 606, 681, 5308, 2389, 3419, 13499, 6970, 476, 273, 266, 1315, 297, 301, 298, 21610, 293, 268, 24681, 289, 15202, 13374, 538, 14148, 5253, 8342, 551, 1547, 476, 1001, 278, 4924, 476, 2420, 282, 279, 263, 273, 2567, 5952, 272, 268, 5952, 280, 269, 8222, 281, 476, 1015, 269, 9818, 280, 11305, 277, 325, 334, 26289, 1704, 322, 563, 16498, 16544, 540, 25289, 25914, 728, 9085, 1239, 593, 519, 2168, 3601, 540, 7513, 17296, 267, 922, 3289, 6233, 543, 3435, 3622, 3277, 547, 6986, 1570, 269, 26192, 7513, 17296, 267, 2705, 267, 568, 1152, 2139, 538, 4130, 9424, 689, 3114, 556, 26047, 3761, 454, 4131, 5257, 338, 1491, 513, 6251, 1413, 269, 14597, 649, 3575, 9770, 17296, 630, 27845, 5141, 264, 609, 7513, 23253, 630, 25519, 12569, 476, 275, 1070, 1312, 19729, 25617, 7135, 269, 634, 10567, 2472, 540, 606, 5385, 5114, 1131, 581, 9770, 23253, 630, 27845, 476, 273, 14298, 476, 275, 264, 543, 7513, 17296, 630, 25519, 5141, 476, 273, 2187, 531, 26891, 28538, 728, 1341, 20841, 6556, 11956, 17296, 1341, 28538, 710, 476, 273, 2704, 27778, 8975, 481, 1341, 476, 274, 5141, 8975, 480, 9890, 476, 273, 2704, 5141, 8975, 481, 1341, 476, 274, 27778, 8975, 480, 9770, 19552, 1341, 7513, 17296, 6556, 7513, 19552, 1341, 9770, 17296, 476, 273, 27845, 8975, 481, 17269, 8975, 482, 1341, 476, 274, 25519, 5141, 8975, 480, 9890, 6970, 8975, 481, 263, 17269, 8975, 482, 264, 8975, 480, 1341, 476, 277, 27845, 5141, 11379, 8392, 622, 950, 12699, 11729, 454, 273, 13070, 17472, 274, 1341, 6970, 5141, 273, 1341, 476, 275, 295, 273, 302, 10857, 264, 815, 476, 273, 13070, 5141, 16378, 497, 1341, 6970, 263, 17472, 274, 264, 273, 1892, 275, 295, 273, 302, 7827, 538, 5131, 6052, 281, 18529, 294, 263, 736, 290, 264, 815, 910, 5325, 269, 278, 330, 297, 630, 17463, 267, 865, 519, 5114, 8255, 264, 7827, 538, 2037, 11209, 6853, 281, 18529, 295, 263, 736, 290, 264, 815, 910, 7830, 269, 271, 330, 297, 630, 17463, 267, 865, 519, 5114, 568, 608, 1278, 6193, 264, 634, 3043, 10511, 10028, 568, 8988, 17296, 267, 589, 454, 24248, 4530, 19047, 281, 18554, 16796, 7513, 610, 9357, 1242, 7513, 267, 669, 5979, 8573, 728, 29679, 18754, 267, 13607, 9914, 31599, 1725, 10901, 267, 531, 321, 6058, 25467, 1706, 4331, 5514, 327, 768, 821, 27456, 8025, 264, 9830, 1354, 543, 21237, 1282, 3797, 585, 2126, 1993, 3834, 5914, 268, 20945, 269, 2904, 2014, 8519, 454, 13706, 519, 5114, 540, 11956, 23253, 543, 7513, 28355, 547, 1831, 11956, 28355, 543, 7513, 23253, 269, 1325, 476, 273, 630, 12569, 476, 275, 264, 476, 274, 1341, 6970, 630, 15121, 264, 476, 273, 734, 15010, 1325, 630, 15121, 264, 476, 274, 1341, 6970, 12569, 476, 275, 630, 320, 264, 14216, 633, 519, 4834, 602, 1590, 581, 3020, 538, 1931, 585, 713, 3114, 3830, 547, 581, 7059, 269, 630, 321, 454, 2704, 26891, 17296, 2746, 609, 9770, 28355, 547, 3132, 26459, 28355, 543, 9770, 17296, 269, 11906, 5114, 269, 21344, 3114, 4834, 269, 5851, 1234, 13905, 18248, 5678, 281, 8297, 1965, 679, 8298, 538, 281, 11906, 6547, 29112, 8707, 7515, 1325, 26891, 17296, 476, 274, 454, 1015, 270, 279, 270, 1708, 271, 6440, 25289, 19941, 568, 1500, 540, 7513, 267, 5135, 267, 543, 3327, 269, 25289, 267, 1373, 519, 1034, 10731, 7777, 538, 519, 1480, 1560, 267, 6589, 585, 476, 272, 268, 273, 260, 540, 922, 2597, 269, 1809, 1152, 1472, 476, 272, 260, 540, 519, 2698, 1560, 7513, 568, 1336, 538, 519, 1973, 267, 1247, 519, 6967, 476, 4200, 260, 568, 6740, 538, 519, 7633, 543, 4522, 563, 274, 270, 278, 270, 1001, 280, 6440, 7513, 17296, 630, 25519, 5141, 476, 273, 264, 25289, 17296, 666, 581, 1336, 607, 513, 27445, 26259, 610, 607, 513, 4155, 6070, 610, 632, 268, 6005, 8665, 269, 1403, 596, 616, 1210, 519, 4155, 6070, 267, 581, 2386, 621, 568, 6986, 7513, 17296, 543, 711, 513, 7848, 540, 1585, 20919, 269, 25289, 17296, 568, 849, 519, 3742, 12146, 538, 519, 454, 290, 3201, 5746, 9331, 8863, 299, 3036, 22432, 630, 25519, 5141, 476, 273, 264, 9253, 1206, 547, 910, 1839, 674, 1772, 519, 16595, 267, 1034, 2500, 4672, 15835, 2139, 20031, 1756, 1790, 878, 539, 267, 2147, 547, 13101, 17296, 267, 855, 11013, 16519, 1790, 895, 267, 5283, 1206, 7466, 607, 1454, 4672, 1290, 525, 538, 10652, 2280, 610, 1166, 820, 1106, 1772, 1728, 326, 14029, 8084, 267, 5373, 7509, 689, 519, 454, 1724, 270, 279, 270, 1001, 275, 6440, 2776, 8619, 1903, 6969, 1210, 11956, 17296, 267, 2995, 707, 4387, 610, 14278, 626, 952, 596, 616, 13027, 547, 621, 282, 610, 952, 596, 723, 1022, 824, 11959, 20136, 1587, 949, 2270, 29680, 5820, 267, 799, 666, 454, 1240, 270, 1015, 270, 1001, 278, 6440, 15240, 13699, 1331, 824, 11956, 543, 4401, 20919, 267, 899, 9770, 620, 636, 3729, 543, 7542, 878, 23253, 267, 855, 891, 949, 610, 949, 711, 960, 269, 1160, 3064, 8767, 2472, 267, 3079, 540, 21113, 267, 949, 2709, 513, 1732, 3070, 269, 1280, 1383, 267, 513, 1906, 2472, 689, 589, 4811, 11627, 320, 779, 589, 4811, 476, 8517, 1899, 616, 5140, 31431, 585, 620, 636, 543, 7542, 878, 17296, 912, 300, 1725, 10901, 17296, 267, 27002, 5141, 476, 273, 267, 15702, 538, 26869, 267, 568, 606, 10731, 267, 2067, 2707, 540, 519, 1360, 3730, 4496, 13101, 269, 13804, 10901, 568, 513, 1455, 5057, 540, 23212, 269, 2353, 9081, 616, 3812, 676, 1071, 1456, 513, 6986, 4496, 609, 835, 610, 811, 824, 2609, 547, 1106, 513, 454, 22546, 338, 540, 7513, 543, 11956, 17296, 23937, 593, 1165, 3511, 543, 998, 6420, 7998, 538, 4006, 12103, 1255, 9137, 630, 14457, 12232, 264, 538, 11206, 17905, 543, 5004, 476, 14983, 263, 272, 268, 274, 2567, 4037, 268, 3445, 5788, 4864, 476, 1220, 272, 609, 454, 5632, 6458, 20962, 622, 10563, 507, 502, 423, 363, 372, 267, 10563, 510, 499, 14602, 502, 267, 7513, 20962, 622, 14602, 502, 10563, 510, 499, 14602, 502, 281, 476, 272, 269, 513, 3043, 3114, 6219, 1031, 547, 1118, 9160, 543, 29147, 540, 8303, 543, 547, 1118, 824, 6878, 16634, 10563, 508, 494, 424, 482, 372, 425, 508, 486, 10563, 499, 490, 424, 499, 482, 423, 367, 368, 422, 372, 364, 269, 1261, 4607, 1079, 24977, 267, 835, 585, 513, 1184, 585, 519, 9668, 540, 13101, 17296, 454, 2704, 26891, 17296, 1107, 11379, 17296, 1107, 8652, 18608, 545, 3679, 1107, 1216, 269, 634, 5123, 11466, 1899, 585, 1071, 1790, 13440, 760, 2787, 540, 11379, 17296, 543, 11956, 17296, 15279, 320, 5139, 3433, 693, 476, 2412, 595, 538, 713, 1062, 568, 3254, 269, 1325, 26891, 17296, 1107, 8652, 18608, 545, 3679, 1107, 1216, 563, 24246, 661, 313, 9253, 1206, 25289, 9578, 609, 12098, 534, 667, 274, 543, 13804, 10901, 267, 476, 4335, 8406, 267, 4427, 1782, 783, 23554, 7530, 267, 12098, 534, 267, 20023, 17491, 267, 7849, 853, 3863, 9440, 4469, 2948, 267, 476, 1911, 16258, 19837, 9876, 7305, 1206, 2560, 0, 20412, 639, 540, 13113, 3604, 454, 24552, 7404, 11810, 540, 13113, 3604, 454, 1692, 547, 946, 11810, 540, 13113, 3604, 538, 513, 4845, 454, 4517, 875, 649, 1616, 547, 2661, 938, 2729, 538, 1769, 540, 1346, 3604, 563, 763, 28543, 21582, 2692, 903, 6133, 856, 741, 1533, 6361, 7308, 1148, 11176, 30806, 563, 2171, 25747, 11876, 626, 938, 4212, 562, 690, 538, 519, 2011, 267, 9784, 1142, 824, 267, 543, 6318, 938, 856, 6361, 2389, 2317, 9739, 538, 5152, 7868, 4107, 4762, 6748, 8285, 8535, 10370, 7879, 4112, 7134, 630, 4668, 292, 302, 31206, 298, 5271, 514, 12096, 517, 347, 20103, 476, 2190, 267, 476, 1001, 275, 347, 6395, 6579, 312, 18688, 17129, 454, 291, 23360, 20205, 513, 835, 6361, 8584, 29292, 9913, 1995, 547, 1169, 4055, 540, 707, 1753, 267, 5911, 8393, 563, 763, 1152, 3604, 267, 607, 2484, 607, 594, 666, 2995, 267, 616, 6753, 540, 519, 22836, 1373, 13603, 543, 519, 530, 24548, 1373, 20898, 269, 10908, 3317, 23894, 1772, 3767, 590, 2454, 31177, 3122, 1849, 582, 1127, 269, 26419, 269, 347, 2304, 320, 21322, 30532, 347, 20103, 476, 736, 267, 476, 1001, 275, 347, 6395, 6579, 312, 18688, 17129, 454, 4322, 3604, 540, 4690, 786, 1291, 547, 13882, 267, 2192, 1973, 267, 543, 6368, 547, 9668, 563, 2791, 2760, 917, 950, 596, 616, 2469, 547, 588, 18443, 2390, 513, 13049, 538, 519, 1034, 856, 6361, 7308, 17574, 7944, 8160, 639, 545, 268, 19138, 538, 5125, 24820, 3240, 674, 599, 454, 13706, 762, 20178, 1137, 689, 519, 15485, 949, 2049, 538, 5738, 673, 11810, 267, 21061, 267, 543, 1007, 326, 992, 2195, 6993, 15015, 540, 11916, 23369, 347, 22832, 23720, 25595, 454, 3719, 10815, 731, 781, 513, 936, 321, 792, 514, 262, 5067, 6361, 8584, 3766, 684, 782, 5180, 267, 543, 646, 781, 2141, 2736, 514, 262, 856, 538, 513, 1007, 1747, 10611, 1177, 7108, 21270, 1068, 8681, 654, 269, 16429, 743, 1515, 454, 16031, 269, 6215, 665, 636, 729, 711, 13473, 538, 513, 6280, 267, 543, 1010, 1272, 814, 1044, 538, 676, 1790, 23411, 267, 543, 856, 6361, 7308, 17574, 4025, 269, 0, 763, 9147, 5259, 21396, 1141, 2966, 547, 3142, 519, 2829, 540, 10255, 1927, 1247, 2870, 513, 13348, 5328, 5790, 1369, 519, 1004, 269, 634, 16380, 540, 713, 942, 1141, 10583, 543, 6126, 547, 581, 1175, 602, 267, 5259, 267, 4352, 930, 844, 19128, 1782, 7018, 1063, 519, 2829, 789, 1185, 513, 7123, 11180, 2229, 267, 543, 3532, 7952, 543, 26010, 540, 799, 729, 21787, 1851, 519, 3504, 1158, 855, 1018, 6854, 713, 782, 1927, 286, 17610, 569, 621, 7012, 1405, 1175, 519, 22257, 1062, 269, 1703, 1185, 547, 581, 1776, 5820, 948, 547, 1832, 621, 782, 1927, 267, 972, 729, 269, 634, 10632, 267, 972, 1141, 2185, 10632, 5712, 267, 835, 585, 1142, 1032, 267, 519, 623, 2814, 1014, 3756, 267, 519, 715, 655, 6756, 3756, 267, 634, 594, 560, 327, 332, 1014, 3756, 543, 519, 1034, 1271, 543, 4583, 540, 873, 782, 634, 16727, 3756, 269, 634, 3756, 1141, 4371, 1169, 2185, 1296, 1063, 4864, 476, 277, 543, 5181, 476, 866, 269, 634, 9147, 16727, 10632, 729, 513, 3909, 13037, 9299, 2358, 519, 10971, 543, 538, 1880, 28736, 267, 519, 4622, 540, 782, 29331, 267, 519, 3756, 13026, 971, 606, 1271, 1747, 538, 5259, 1272, 602, 942, 729, 6027, 676, 519, 8884, 1063, 873, 267, 606, 10493, 328, 611, 269, 4586, 3080, 3017, 1063, 519, 3504, 543, 2413, 16727, 10632, 568, 602, 519, 3504, 3756, 941, 5129, 1369, 519, 2796, 540 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 563, 7775, 6202, 14754, 519, 4473, 540, 2698, 9107, 20816, 20250, 267, 1519, 519, 5053, 6406, 2782, 543, 519, 23237, 626, 1625, 2471, 269, 1261, 729, 513, 11180, 24180, 543, 5156, 538, 519, 3741, 540, 7862, 543, 1514, 5126, 267, 855, 646, 2968, 771, 650, 4288, 539, 609, 519, 829, 11437, 540, 891, 16431, 538, 2259, 563, 763, 1433, 5713, 607, 513, 13657, 776, 9661, 827, 519, 12178, 540, 2698, 23540, 267, 519, 6057, 540, 1379, 267, 543, 519, 11761, 540, 1367, 22624, 269, 898, 9356, 1010, 3661, 538, 519, 1761, 585, 4838, 547, 581, 1071, 19945, 1540, 676, 1582, 1606, 6326, 3401, 543, 8711, 519, 2956, 540, 28858, 538, 21108, 11180, 3741, 563, 8005, 616, 519, 3119, 3197, 540, 519, 1433, 888, 763, 3119, 3197, 540, 519, 1433, 1331, 912, 268, 6196, 11683, 281, 589, 8797, 543, 15197, 1630, 541, 945, 26182, 519, 2831, 609, 1010, 5075, 540, 513, 2486, 1863, 689, 1480, 14226, 269, 1261, 4564, 20913, 14100, 610, 32157, 22255, 514, 267, 3246, 519, 20748, 4493, 585, 519, 4838, 563, 268, 19167, 281, 589, 7137, 802, 10921, 1630, 541, 945, 694, 3278, 1379, 1310, 519, 18326, 543, 3587, 519, 9598, 31247, 6205, 540, 10960, 12426, 269, 1261, 23327, 9478, 23237, 543, 24151, 519, 13313, 543, 6057, 540, 1379, 269, 19167, 6354, 12885, 543, 7518, 1080, 519, 824, 2831, 547, 2226, 1010, 1852, 563, 268, 16176, 4252, 281, 589, 6477, 945, 7620, 8843, 1379, 609, 19167, 269, 16176, 4252, 568, 17814, 607, 606, 10995, 543, 1714, 13228, 550, 6205, 945, 23083, 4566, 585, 519, 3484, 779, 6454, 269, 1261, 4564, 15182, 570, 12783, 5652, 267, 513, 15180, 540, 23237, 269, 16176, 4252, 568, 6038, 522, 755, 539, 543, 3587, 513, 1085, 1901, 2998, 520, 585, 519, 3484, 779, 2042, 563, 268, 13340, 518, 281, 589, 10121, 543, 2182, 11529, 7504, 1634, 585, 1010, 4222, 543, 11428, 269, 13340, 518, 4564, 519, 2324, 1362, 543, 24151, 519, 605, 2280, 30353, 779, 7029, 547, 519, 4838, 269, 1261, 568, 23699, 676, 519, 14918, 543, 6038, 20729, 539, 676, 873, 563, 268, 590, 4302, 29993, 281, 589, 10388, 543, 6354, 11494, 6477, 945, 5713, 607, 19167, 779, 8783, 9070, 663, 626, 269, 590, 4302, 29993, 19082, 18259, 267, 23538, 519, 5168, 267, 543, 1175, 5809, 519, 14918, 685, 3527, 547, 519, 824, 2831, 563, 268, 18148, 281, 589, 524, 2106, 673, 543, 26617, 1810, 4486, 945, 568, 26617, 540, 519, 4838, 779, 14767, 269, 18148, 23327, 519, 30921, 543, 1346, 945, 616, 3222, 540, 519, 13313, 855, 798, 2370, 547, 5706, 621, 269, 1261, 568, 1634, 585, 1010, 6952, 874, 19189, 267, 968, 10673, 12399, 2661, 513, 1279, 942, 3034, 268, 631, 3326, 773, 281, 589, 3043, 544, 732, 945, 568, 7620, 11215, 540, 519, 4838, 855, 5555, 24301, 10960, 12426, 547, 2661, 513, 6899, 1272, 609, 3425, 269, 631, 3326, 773, 4564, 1346, 945, 616, 6822, 340, 1027, 676, 1570, 635, 325, 2176, 543, 723, 2370, 7029, 547, 519, 16431, 540, 519, 4838, 563, 4322, 3197, 267, 2059, 609, 824, 2831, 593, 519, 3484, 267, 1404, 1713, 5107, 538, 18995, 519, 6384, 540, 1379, 267, 12879, 267, 543, 20729, 531, 538, 10960, 12426, 269, 3962, 1915, 4564, 513, 1808, 2460, 540, 519, 6739, 7169, 543, 922, 21987, 267, 10223, 2107, 6202, 779, 16472, 540, 2698, 23540, 543, 519, 829, 11437, 540, 24180, 16431, 563, 1432, 568, 519, 2511, 538, 799, 10960, 12426, 568, 2854, 888, 27154, 12426, 568, 2854, 538, 513, 3551, 543, 3015, 2511, 267, 8984, 540, 6723, 2107, 6202, 779, 1568, 269, 2107, 6202, 779, 1603, 2511, 568, 1419, 4330, 607, 13801, 267, 2312, 267, 543, 796, 611, 1941, 539, 267, 26724, 9355, 543, 2500, 2792, 540, 2093, 563, 763, 1893, 538, 10960, 12426, 568, 2241, 2943, 3532, 267, 7175, 3988, 547, 4497, 609, 519, 1650, 543, 1174, 519, 5817, 4798, 543, 6835, 269, 2107, 6202, 779, 9837, 729, 547, 6655, 1010, 2093, 538, 513, 1463, 6073, 267, 1818, 519, 3209, 3015, 547, 513, 2647, 2039, 540, 3988, 563, 763, 2239, 18271, 513, 3791, 16512, 9631, 23036, 2615, 5133, 267, 3850, 519, 5467, 547, 7747, 519, 2621, 689, 606, 6662, 29459, 269, 901, 5133, 6087, 2107, 6202, 547, 1683, 4030, 883, 519, 4555, 267, 18144, 267, 543, 3527, 540, 519, 3197, 267, 5356, 513, 3102, 2070, 540, 519, 1650, 563, 763, 1433, 16621, 2609, 540, 24337, 267, 1210, 9644, 543, 20451, 547, 16472, 2797, 1949, 267, 1379, 6384, 267, 543, 519, 12879, 540, 1893, 269, 2107, 6202, 779, 30237, 673, 1935, 5713, 547, 16616, 519, 20924, 543, 3834, 4531, 529, 625, 540, 519, 3197, 543, 5238, 17814, 538, 519, 1650, 563, 1432, 568, 519, 4644, 540, 519, 1433, 888, 763, 4644, 540, 10960, 12426, 6013, 538, 922, 7096, 16472, 540, 2698, 23540, 267, 519, 6057, 540, 1379, 267, 543, 519, 20729, 531, 540, 12316, 16431, 269, 898, 5713, 607, 513, 13657, 776, 9661, 827, 519, 12178, 540, 2797, 13313, 543, 519, 11761, 540, 1367, 22624, 269, 634, 1433, 779, 11972, 10083, 666, 581, 11911, 547, 1896, 1883, 3344, 912, 268, 1325, 5586, 800, 540, 519, 6739, 7169, 281, 634, 1433, 14336, 528, 1227, 4564, 519, 2621, 543, 5515, 540, 519, 6739, 7169, 543, 519, 7766, 4473, 540, 519, 8168, 5742, 896, 9478, 23237, 269, 898, 2488, 513, 3532, 16472, 540, 23237, 1143, 543, 519, 20729, 531, 540, 519, 4838, 779, 3312, 3741, 267, 10223, 519, 12178, 540, 28974, 4341, 563, 268, 22410, 540, 11192, 23540, 281, 2107, 6202, 7710, 519, 4162, 543, 6127, 540, 2698, 9107, 20816, 267, 18995, 875, 3401, 13861, 543, 1852, 519, 13999, 998, 18259, 267, 13178, 267, 543, 519, 21109, 540, 29926, 269, 634, 1433, 29808, 1996, 519, 5834, 540, 1379, 538, 519, 3946, 540, 513, 1906, 267, 607, 621, 1419, 5012, 547, 15746, 543, 519, 2530, 540, 1367, 23118, 563, 268, 9045, 790, 543, 11635, 344, 281, 2107, 6202, 18271, 24337, 543, 20451, 547, 16616, 519, 3834, 4531, 19192, 543, 21494, 640, 540, 2797, 1949, 269, 634, 14918, 267, 945, 7620, 22299, 7862, 543, 5191, 267, 24482, 1831, 967, 626, 3907, 27720, 689, 519, 3425, 789, 2899, 10353, 267, 10223, 519, 3834, 4531, 19192, 543, 13313, 540, 1346, 538, 1379, 563, 268, 7600, 1664, 540, 31666, 7701, 543, 28294, 1637, 281, 634, 1433, 19156, 519, 1379, 540, 18259, 543, 12879, 538, 5935, 1857, 6644, 543, 4509, 1852, 269, 590, 4302, 29993, 779, 10388, 12485, 543, 519, 556, 8586, 540, 519, 18599, 16710, 906, 9414, 875, 1893, 666, 581, 1031, 547, 1253, 677, 519, 5168, 543, 17854, 26568, 3527, 563, 268, 5975, 2001, 531, 540, 21829, 8211, 1023, 281, 634, 1433, 11363, 519, 8594, 540, 26201, 1373, 1071, 19945, 1540, 676, 1582, 1606, 6326, 3401, 945, 10205, 519, 3312, 3741, 540, 7862, 267, 5126, 267, 543, 5191, 269, 2107, 6202, 8711, 519, 2956, 540, 28858, 543, 3742, 7589, 538, 7863, 543, 8497, 519, 16431, 540, 513, 1175, 2486, 563, 268, 25684, 547, 7073, 15348, 281, 634, 1433, 5170, 547, 13469, 609, 3988, 1317, 922, 4798, 543, 21855, 616, 10858, 547, 1585, 8658, 269, 898, 5713, 607, 513, 12576, 540, 519, 1761, 585, 1379, 547, 18348, 543, 519, 991, 585, 3586, 22987, 540, 2797, 1949, 267, 1256, 538, 4207, 2053, 563, 27154, 12426, 5713, 607, 513, 3532, 543, 13657, 776, 12576, 540, 519, 12178, 602, 666, 8451, 950, 1379, 4422, 31250, 563, 1432, 568, 519, 9371, 540, 10960, 12426, 2221, 888, 27154, 12426, 568, 9833, 607, 513, 5929, 960, 540, 3332, 543, 814, 1185, 513, 9434, 1764, 593, 519, 5339, 1158, 269, 4706, 12667, 3197, 267, 3532, 14336, 800, 267, 543, 2219, 4538, 4798, 723, 1500, 621, 513, 20013, 538, 3872, 21195, 5001, 563, 763, 1433, 779, 3310, 666, 581, 2938, 538, 1585, 1568, 540, 5708, 267, 8874, 267, 543, 2442, 2528, 267, 609, 2453, 971, 607, 2353, 2831, 616, 3160, 267, 855, 930, 2831, 616, 811, 3160, 982, 1866, 543, 519, 1523, 540, 606, 2107, 6202, 1014, 2486, 4742, 851, 540, 519, 2518, 20750, 6625, 563, 7775, 6202, 779, 16472, 540, 2698, 23540, 267, 519, 6057, 540, 1379, 267, 543, 519, 12879, 540, 1893, 3136, 547, 13469, 538, 4207, 2797, 543, 1514, 5717, 563, 27154, 12426, 2488, 3988, 609, 513, 7828, 998, 799, 547, 5659, 543, 1174, 519, 6384, 540, 2797, 1949, 267, 18259, 267, 543, 519, 11761, 540, 1367, 23118, 269, 4706, 10083, 11498, 3564, 519, 1808, 2796, 540, 519, 6739, 7169, 267, 1818, 621, 10858, 547, 1114, 5712, 543, 4525, 563, 763, 1433, 779, 26841, 540, 875, 26201, 666, 1821, 9876, 883, 26568, 20816, 896, 519, 1368, 1047, 540, 7862, 5713, 607, 513, 9963, 1996, 519, 12178, 540, 2278, 23540, 269, 2107, 6202, 779, 24575, 540, 519, 14918, 685, 16795, 721, 584, 335, 566, 540, 1379, 543, 20729, 531, 540, 519, 824, 2831, 8711, 519, 991, 585, 28858, 543, 3742, 7589, 538, 7863, 11180, 2418, 563, 27154, 12426, 28837, 519, 1379, 540, 24337, 547, 16616, 543, 10404, 1125, 2797, 1949, 543, 1514, 2152, 269, 2107, 6202, 779, 946, 540, 20451, 267, 9644, 267, 543, 14336, 800, 2306, 519, 1433, 1312, 2502, 543, 26374, 267, 3850, 3988, 547, 2992, 593, 519, 20924, 543, 12178, 7915, 538, 1379, 3889, 563, 763, 1433, 3788, 513, 5929, 4062, 540, 3332, 267, 6594, 538, 3506, 1472, 519, 1158, 269, 898, 5170, 547, 581, 6594, 538, 1686, 543, 2797, 2257, 6030, 547, 8774, 1769, 593, 519, 6384, 540, 4838, 267, 5718, 267, 543, 519, 4539, 540, 20748, 10593, 563, 763, 1433, 779, 11972, 8560, 543, 4797, 10083, 616, 513, 15266, 547, 922, 9434, 9371, 538, 519, 26441, 540, 3332, 267, 6214, 267, 543, 1514, 9880, 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 ]

[ 544, 19376, 1965, 10798, 543, 513, 1871, 267, 799, 29211, 538, 519, 6668, 543, 519, 13120, 540, 519, 2016, 2486, 519, 3483, 267, 543, 20244, 519, 1871, 267, 5116, 2390, 519, 1560, 729, 519, 2956, 540, 713, 6249, 6013, 538, 519, 8446, 540, 922, 6228, 543, 538, 269, 0, 1607, 1650, 4580, 1281, 711, 723, 513, 6609, 563, 257, 5591, 835, 4927, 30565, 1864, 267, 1100, 835, 22378, 333, 585, 1864, 267, 1809, 713, 1560, 1590, 9114, 538, 519, 4610, 267, 513, 6653, 14951, 1280, 1286, 337, 542, 5017, 547, 1265, 607, 789, 3406, 585, 1426, 4799, 257, 3719, 594, 786, 30565, 1864, 282, 543, 952, 594, 1590, 5884, 267, 594, 2161, 602, 713, 6760, 568, 13411, 1862, 519, 4031, 540, 519, 10971, 1611, 4986, 547, 596, 4799, 257, 7883, 3533, 281, 1863, 30466, 821, 689, 1200, 29256, 4517, 1628, 513, 19772, 585, 519, 1560, 540, 12443, 928, 1182, 4799, 257, 10190, 1352, 1590, 5884, 269, 1107, 3719, 1200, 2669, 786, 2014, 1776, 4799, 257, 8253, 1082, 2395, 267, 1656, 707, 2777, 786, 581, 2407, 540, 2367, 543, 2021, 649, 9429, 267, 1656, 1225, 4513, 786, 581, 9292, 1194, 693, 596, 689, 2484, 20079, 20494, 1324, 585, 14930, 796, 10767, 1221, 267, 2451, 547, 4232, 4799, 257, 2467, 568, 1100, 8788, 1141, 972, 568, 1100, 7326, 282, 3143, 7326, 855, 538, 19169, 547, 519, 10971, 269, 8262, 1913, 616, 2141, 27052, 267, 1656, 10583, 2367, 538, 2025, 2085, 1451, 547, 581, 8797, 4799, 257, 22117, 803, 2476, 269, 594, 723, 1044, 16420, 543, 18174, 880, 15660, 723, 7166, 1250, 5067, 543, 1250, 7385, 4799, 18439, 3776, 15080, 543, 6201, 454, 2521, 3776, 4033, 15750, 2572, 2336, 21900, 657, 585, 4147, 454, 1700, 9612, 585, 3427, 4149, 12522, 267, 11300, 12780, 16071, 630, 2005, 4634, 595, 2572, 585, 1411, 2336, 1700, 31418, 1176, 5269, 543, 9523, 4279, 6441, 8504, 11676, 7879, 454, 1700, 8073, 11426, 12502, 2044, 3203, 0, 763, 8241, 13163, 540, 10803, 630, 5723, 306, 264, 814, 5063, 5950, 519, 2817, 16971, 543, 8776, 637, 26463, 29474, 4317, 11752, 630, 2793, 4811, 3041, 306, 1040, 634, 1867, 2982, 602, 538, 476, 1220, 273, 267, 835, 10116, 540, 7087, 1004, 4080, 602, 789, 1185, 1044, 513, 6408, 540, 2168, 610, 12219, 5208, 538, 519, 3105, 476, 1321, 3275, 267, 5176, 5595, 519, 2557, 4080, 538, 476, 1960, 275, 630, 1724, 22103, 634, 8167, 540, 7087, 1004, 945, 1185, 1044, 513, 6408, 540, 2168, 610, 12219, 5208, 729, 2147, 585, 1004, 2713, 538, 6552, 543, 1875, 268, 6552, 2127, 630, 2537, 260, 3379, 609, 476, 1839, 8472, 543, 585, 2367, 543, 2021, 630, 2918, 260, 3379, 609, 476, 2537, 22103, 634, 2157, 540, 4080, 6408, 5314, 941, 2362, 1851, 1762, 1004, 267, 609, 1762, 2367, 9907, 476, 1428, 268, 2190, 1296, 2348, 519, 5207, 2157, 540, 4080, 6408, 5314, 630, 3607, 22103, 2991, 14577, 585, 2085, 3604, 1063, 519, 7087, 543, 1875, 268, 29378, 5095, 267, 16198, 689, 519, 589, 7034, 4937, 4317, 11752, 5815, 602, 7087, 1004, 9907, 476, 1240, 1296, 610, 936, 4810, 5595, 519, 6408, 5314, 2557, 540, 1875, 268, 29378, 1004, 563, 268, 8241, 13163, 540, 10803, 476, 1220, 275, 269, 2817, 16971, 543, 8776, 637, 26463, 29474, 1514, 5619, 476, 1220, 273, 267, 3032, 269, 1100, 269, 476, 26493, 271, 269, 271, 267, 589, 7034, 267, 2052, 828, 571, 0, 2467, 616, 930, 5383, 543, 11393, 585, 6475, 17209, 476, 275, 634, 5383, 616, 602, 649, 666, 1294, 606, 1843, 609, 3152, 1469, 1813, 547, 4400, 3172, 5874, 909, 547, 476, 1911, 1822, 271, 543, 1164, 20547, 1379, 909, 547, 476, 271, 269, 476, 1822, 273, 30562, 2678, 269, 476, 276, 634, 11393, 616, 602, 7041, 540, 15013, 568, 942, 10438, 2352, 543, 7199, 267, 543, 849, 666, 711, 2070, 2661, 15013, 269, 1452, 616, 519, 3364, 602, 649, 666, 1294, 5707, 6475, 5843, 2675, 2100, 543, 666, 1406, 1294, 609, 1769, 17209, 616, 7736, 32194, 681, 2045, 4918, 267, 25906, 25593, 267, 543, 700, 1170, 727, 269, 7736, 32194, 681, 2045, 4918, 568, 606, 3312, 602, 568, 3743, 585, 5137, 540, 3940, 543, 20188, 998, 519, 1560, 25906, 25593, 616, 31759, 602, 7018, 3330, 519, 1591, 799, 1772, 3743, 585, 10655, 519, 5946, 689, 519, 1591, 269, 700, 1170, 727, 616, 10408, 7103, 602, 2270, 11254, 3679, 543, 11476, 585, 8840, 1524, 519, 2898, 7178, 543, 11488, 873, 782, 856, 3135, 269, 476, 278, 5082, 1258, 5843, 2675, 2100, 814, 1454, 3152, 20547, 552, 4546, 982, 1769, 17209, 543, 666, 1205, 1454, 2362, 3172, 5874, 269, 5082, 1258, 17209, 666, 3172, 1518, 606, 1843, 1152, 909, 547, 476, 1220, 271, 2053, 269, 7327, 5082, 1258, 5843, 2675, 2100, 596, 666, 1294, 519, 12005, 769, 897, 999, 769, 2407, 1469, 6145, 10410, 6036, 616, 2356, 4988, 609, 513, 1360, 6094, 4494, 540, 4496, 8444, 547, 1118, 519, 2592, 3677, 543, 3677, 547, 581, 2111, 547, 1294, 811, 3877, 269, 476, 279, 634, 2934, 602, 616, 3769, 538, 547, 606, 6475, 17209, 616, 3957, 607, 16685, 4773, 9473, 27660, 14485, 5082, 1258, 7784, 24897, 10410, 11948, 8254, 12068, 24919, 14485, 476, 1015, 1452, 5439, 1590, 581, 5423, 1354, 519, 6475, 17209, 568, 5116, 538, 547, 519, 17209, 12511, 563, 7197, 540, 519, 6475, 17209, 3340, 513, 7463, 26519, 1813, 547, 519, 12161, 602, 666, 4386, 538, 519, 2497, 540, 519, 19494, 269, 476, 1556, 594, 993, 865, 10583, 540, 8885, 543, 1250, 2319, 5779, 602, 649, 5249, 1927, 585, 6427, 532, 713, 3730, 2029, 585, 519, 1004, 538, 519, 2486, 543, 585, 519, 6454, 540, 2348, 513, 2362, 3172, 2305, 543, 6571, 540, 606, 6475, 17209, 269, 1656, 594, 786, 2119, 547, 1118, 930, 811, 6454, 593, 519, 3172, 2305, 543, 519, 6571, 269, 0, 4467, 1584, 619, 693, 4518, 454, 1607, 23675, 693, 4518, 3992, 1544, 849, 2882, 912, 268, 15012, 547, 1569, 782, 3769, 2326, 454, 10743, 2744, 606, 1620, 540, 519, 2956, 540, 2029, 538, 1870, 543, 2263, 519, 2866, 543, 2069, 2838, 585, 2029, 7158, 1310, 789, 1382, 2816, 11673, 543, 2328, 835, 563, 277, 14358, 476, 278, 20042, 454, 268, 11242, 1299, 18768, 454, 268, 29093, 1299, 16103, 454, 268, 6997, 8249, 454, 268, 4804, 10632, 454, 268, 7689, 12697, 454, 268, 12729, 17796, 454, 268, 28826, 1299, 16574, 919, 454, 268, 12333, 26671, 454, 268, 5530, 20929, 454, 268, 5675, 8871, 14186, 454, 268, 6673, 4530, 2776, 1186, 454, 268, 7689, 14136, 15080, 454, 268, 20308, 6519, 15236, 454, 268, 2353, 12754, 9537, 454, 268, 8058, 2353, 454, 8450, 2147, 2200, 912, 20663, 10434, 2264, 2443, 20663, 5525, 454, 1432, 2186, 540, 3334, 616, 2877, 585, 513, 2780, 286, 3414, 513, 21630, 3992, 267, 2043, 1451, 827, 3670, 8800, 2780, 3334, 269, 1358, 2932, 1382, 547, 3313, 519, 2039, 540, 3681, 585, 519, 3334, 269, 4147, 2818, 1287, 2483, 280, 628, 910, 476, 1321, 628, 476, 2641, 560, 11416, 10341, 454, 20663, 2422, 281, 12708, 10341, 6744, 4289, 968, 1432, 616, 22400, 10341, 18313, 1103, 7672, 1934, 616, 1896, 13561, 3211, 543, 2407, 5528, 593, 875, 547, 946, 873, 269, 1411, 3513, 5351, 707, 2027, 2115, 15226, 998, 513, 3804, 1606, 23293, 1184, 1141, 789, 3513, 6445, 856, 519, 5619, 547, 1305, 2123, 3853, 1644, 547, 2780, 946, 543, 2483, 1015, 628, 910, 14451, 3798, 7981, 4065, 1299, 15789, 454, 22209, 7651, 2720, 1222, 281, 8950, 17214, 14168, 454, 10743, 2263, 2780, 1983, 538, 519, 1699, 2816, 2344, 676, 11264, 4976, 2238, 269, 769, 713, 2413, 2029, 3992, 267, 1053, 2697, 519, 2956, 540, 1373, 2029, 5260, 11803, 950, 621, 2501, 547, 4881, 513, 1870, 610, 25054, 2483, 277, 628, 910, 476, 1321, 628, 2296, 5678, 8551, 454, 11900, 728, 2659, 8950, 454, 4467, 1584, 619, 616, 5863, 569, 3532, 6191, 602, 649, 723, 2097, 547, 1491, 585, 11292, 269, 18786, 609, 513, 2241, 4945, 540, 519, 10856, 267, 713, 19347, 3381, 3217, 596, 593, 513, 7552, 998, 519, 6418, 25029, 540, 5904, 269, 6258, 875, 3292, 1450, 519, 2483, 275, 25008, 476, 280, 628, 910, 476, 1321, 628, 5303, 1299, 7177, 18938, 281, 24623, 0, 3080, 540, 519, 1034, 1271, 3344, 540, 2257, 568, 4180, 602, 596, 1205, 782, 519, 2694, 540, 519, 2854, 1382, 1957, 538, 519, 1318, 1931, 269, 634, 2140, 568, 519, 851, 540, 513, 1957, 602, 568, 1224, 519, 1034, 267, 543, 621, 568, 2356, 1224, 1101, 527, 568, 267, 4061, 267, 519, 1034, 1271, 3693, 602, 11225, 519, 1382, 1353, 269, 13445, 5542, 543, 2079, 519, 1382, 2243, 2497, 540, 513, 1382, 1957, 851, 1079, 281, 596, 3605, 602, 552, 30984, 568, 3656, 896, 1978, 2175, 538, 519, 269, 1215, 547, 2328, 513, 15853, 585, 513, 1382, 1957, 875, 547, 2328, 513, 15853, 585, 513, 1382, 1957, 8908, 1169, 1557, 610, 1957, 568, 1500, 909, 540, 1614, 2694, 281, 563, 288, 3811, 1382, 1957, 8308, 12191, 281, 713, 851, 2829, 543, 6941, 519, 1184, 676, 799, 1239, 267, 2164, 267, 543, 2963, 616, 6394, 269, 6153, 3656, 1603, 281, 540, 610, 6202, 621, 568, 7543, 547, 798, 1932, 1454, 1382, 585, 513, 1957, 1775, 2356, 1265, 1775, 4312, 7745, 519, 4672, 543, 666, 2253, 1603, 519, 4505, 2694, 269, 8281, 562, 331, 337, 326, 781, 5439, 3656, 1509, 657, 543, 5618, 338, 585, 1863, 3346, 3084, 3656, 1382, 1895, 547, 7662, 513, 14911, 15360, 269, 20668, 540, 513, 1382, 1957, 16643, 910, 519, 1448, 540, 3656, 1603, 568, 711, 547, 1118, 519, 2241, 7294, 855, 609, 513, 1382, 1957, 267, 707, 1957, 786, 267, 10416, 267, 2874, 540, 1614, 2694, 281, 606, 563, 8512, 338, 540, 3656, 1382, 1957, 630, 531, 10939, 3232, 3377, 3860, 1603, 16311, 264, 9443, 6574, 7242, 568, 602, 621, 1281, 660, 31391, 9186, 543, 568, 2141, 1582, 2275, 8091, 532, 1224, 269, 5675, 513, 1876, 1153, 1957, 7446, 513, 1434, 5098, 666, 581, 519, 1034, 2352, 851, 540, 1603, 513, 1434, 1957, 1616, 707, 1382, 547, 581, 3730, 543, 798, 711, 1616, 547, 269, 13088, 2866, 2326, 5359, 2930, 543, 3390, 2694, 540, 513, 3656, 1382, 1957, 1957, 6978, 7410, 8301, 543, 476, 1789, 268, 272, 268, 1001, 279, 789, 616, 4092, 538, 519, 5449, 4087, 540, 1322, 2240, 7132, 269, 11370, 325, 23176, 632, 705, 690, 15606, 562, 14243, 10722, 14162, 1299, 607, 1539, 15606, 25180, 3120, 562, 826, 11663, 540, 545, 21590, 679, 521, 27053, 2531, 22857, 522, 652, 324, 563, 4517, 4081, 3656, 1603, 1382, 476, 8660, 513, 7114, 3732, 2665, 543, 13685, 2328, 513, 11315, 8908, 540, 519, 1957, 267, 3533, 269, 6713, 540, 3656, 1382, 8242, 609, 17927, 2694, 610, 9360, 1031, 547, 581, 513, 1957, 835, 267, 855, 1034, 8021, 1810, 1406, 563, 5560, 531, 327, 748, 773, 1070, 543, 26270, 533, 4394, 1299, 561, 610, 326, 2079, 540, 1382, 538, 7082, 1557, 1603, 2694, 540, 513, 3656, 1382, 1957, 3028, 269, 5811, 538, 1382, 4574, 547, 5659, 1797, 547, 2736, 513, 1888, 610, 1523, 1524, 883, 922, 2694, 538, 1931, 547, 8524, 543, 1174, 621, 267, 543, 547, 1964, 4450, 1346, 2694, 538, 513, 1259, 602, 2306, 2631, 547, 596, 269, 1284, 2328, 3594, 267, 1382, 4574, 267, 2165, 4574, 267, 1576, 1568, 267, 8039, 267, 519, 4513, 543, 811, 799, 3788, 513, 5458, 851, 540, 1967, 538, 1603, 606, 1557, 269, 26758, 543, 3656, 4027, 540, 7214, 3959, 519, 2497, 540, 513, 1382, 1957, 13408, 1614, 4295, 2694, 9238, 540, 1382, 1957, 1603, 543, 563, 2304, 7493, 568, 513, 5618, 5758, 540, 513, 1382, 2376, 267, 5098, 267, 2689, 267, 10554, 23312, 267, 610, 1022, 538, 3829, 2079, 540, 513, 1880, 1641, 543, 568, 1419, 1031, 547, 948, 519, 5467, 3533, 23754, 519, 1957, 781, 3483, 269, 4208, 568, 713, 606, 968, 320, 892, 1957, 713, 2875, 24378, 1382, 1957, 9727, 519, 1382, 4574, 2688, 3320, 946, 3791, 729, 606, 7533, 851, 540, 602, 563, 5649, 518, 9516, 875, 547, 2328, 513, 3932, 585, 513, 1382, 1957, 2185, 2694, 281, 3732, 8753, 1603, 513, 2596, 3932, 1818, 707, 3932, 607, 2500, 607, 2009, 9319, 1455, 25354, 2146, 7117, 261, 320, 269, 1215, 547, 2328, 513, 1382, 7493, 891, 1292, 2694, 540, 519, 2376, 267, 1957, 267, 610, 1867, 281, 3483, 827, 519, 1382, 982, 827, 519, 1957, 563, 1607, 949, 581, 513, 5094, 1957, 610, 851, 540, 519, 1382, 1957, 543, 621, 568, 5921, 547, 7873, 1619, 543, 2322, 782, 707, 1292, 2093, 538, 513, 1360, 5618, 3561, 1382, 5758 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4320, 476, 280, 267, 8720, 7605, 1824, 269, 1717, 267, 968, 15987, 14134, 619, 12603, 892, 1101, 7902, 538, 519, 5988, 476, 3707, 275, 3390, 540, 8330, 15929, 3163, 6363, 2109, 269, 3367, 621, 1934, 563, 299, 6856, 1642, 1234, 344, 3884, 1406, 1134, 15422, 2221, 267, 4849, 6148, 585, 968, 13900, 523, 744, 685, 299, 1195, 892, 1776, 8773, 1650, 602, 729, 3769, 538, 634, 3163, 11470, 8065, 540, 674, 877, 11730, 2290, 12995, 676, 7917, 18234, 6199, 269, 968, 15987, 14134, 619, 12603, 892, 729, 16320, 860, 1242, 538, 1079, 1713, 16320, 3098, 827, 11608, 634, 31584, 543, 519, 2494, 12995, 676, 9410, 5682, 6199, 543, 26682, 2334, 6056, 12995, 676, 21469, 1306, 574, 990, 267, 4793, 878, 807, 590, 269, 2782, 4459, 267, 543, 9410, 670, 269, 5682, 6199, 269, 5548, 1234, 344, 779, 29412, 1650, 968, 2690, 594, 2549, 513, 808, 20454, 4658, 17373, 568, 3769, 538, 519, 476, 1015, 628, 4320, 540, 713, 3126, 267, 8720, 769, 11663, 687, 269, 594, 666, 1406, 3494, 1010, 1650, 968, 763, 4303, 568, 667, 821, 892, 7012, 1406, 3769, 538, 519, 476, 277, 628, 4320, 585, 3026, 6387, 628, 1023, 563, 2414, 2491, 1946, 594, 1767, 2093, 616, 519, 2679, 7161, 540, 2257, 5708, 267, 594, 6557, 2469, 547, 723, 547, 4766, 519, 4729, 540, 968, 15987, 14134, 619, 12603, 892, 538, 1469, 267, 4758, 782, 519, 27253, 619, 269, 634, 1650, 568, 3769, 538, 519, 4320, 585, 11608, 855, 621, 1223, 723, 1044, 3769, 538, 1082, 1114, 6249, 16320, 3098, 563, 2108, 15987, 14134, 619, 12603, 892, 5956, 609, 513, 812, 3957, 808, 528, 2102, 1036, 8724, 9637, 269, 1284, 2461, 2016, 930, 1394, 32143, 538, 519, 2239, 269, 18972, 723, 1044, 530, 21317, 856, 676, 513, 20575, 593, 3047, 267, 3976, 649, 723, 1312, 513, 5403, 5025, 335, 5914, 2988, 572, 543, 513, 7831, 2494, 1650, 543, 6148, 1256, 513, 667, 3539, 3047, 1650, 269, 634, 667, 3539, 3047, 6249, 2356, 3238, 519, 2484, 2104, 950, 3047, 568, 827, 547, 581, 10032, 269, 6884, 667, 3539, 3047, 1797, 519, 4541, 568, 12955, 267, 543, 824, 2053, 621, 5267, 519, 1480, 5198, 568, 12955, 269, 9320, 649, 1058, 1175, 1289, 621, 7736, 540, 5274, 640, 873, 539, 563, 297, 528, 2102, 568, 24971, 909, 689, 12246, 335, 2105, 1323, 11582, 610, 12019, 12619, 267, 1776, 7708, 701, 540, 2257, 5708, 269, 769, 713, 476, 3707, 275, 1650, 267, 1642, 1234, 344, 814, 3955, 560, 15362, 13488, 3908, 547, 519, 3432, 540, 1769, 269, 6969, 519, 20575, 1185, 5176, 530, 21317, 856, 8103, 267, 3425, 1185, 6836, 547, 16690, 1125, 9370, 267, 855, 519, 20575, 1185, 1336, 922, 1259, 972, 1932, 269, 1924, 513, 1007, 1374, 540, 5624, 1222, 729, 3710, 547, 581, 513, 6611, 18206, 547, 979, 547, 519, 6801, 269, 634, 3425, 941, 2322, 547, 3207, 1282, 519, 1279, 22116, 540, 3955, 560, 15362, 16709, 799, 16768, 476, 3445, 1296, 269, 634, 6928, 729, 812, 2740, 676, 10164, 550, 7605, 1824, 945, 1282, 519, 22116, 2919, 14464, 32322, 543, 2552, 9776, 3955, 807, 563, 5475, 808, 528, 2102, 568, 2847, 1882, 646, 568, 5143, 602, 782, 519, 824, 21152, 20829, 519, 6928, 1185, 5747, 540, 519, 20575, 543, 646, 729, 519, 1152, 835, 4761, 269, 808, 528, 2102, 1568, 609, 2947, 11608, 602, 616, 3957, 2290, 267, 5565, 267, 8422, 267, 9050, 267, 543, 12866, 269, 1358, 723, 1336, 513, 1715, 3047, 269, 898, 5828, 856, 547, 581, 513, 27032, 267, 1454, 899, 3047, 267, 855, 609, 1100, 10995, 1272, 269, 808, 528, 2102, 23119, 689, 606, 1401, 626, 1113, 2677, 335, 1515, 538, 6611, 540, 1373, 519, 7831, 540, 3776, 15661, 269, 31584, 12866, 6257, 547, 808, 528, 2102, 875, 646, 16545, 519, 1007, 1158, 4742, 952, 3425, 1185, 15068, 269, 901, 568, 950, 808, 528, 2102, 30877, 602, 7605, 1824, 616, 3160, 547, 18972, 267, 543, 7605, 1824, 616, 938, 2677, 25728, 1218, 543, 602, 646, 12582, 1406, 21817, 563, 297, 528, 2102, 6645, 519, 11608, 789, 1058, 1628, 513, 31584, 31511, 855, 8773, 12866, 3081, 11608, 1223, 2760, 581, 6126, 1510, 3425, 269, 901, 554, 1046, 839, 1394, 547, 1849, 858, 867, 3244, 752, 267, 602, 7605, 1824, 616, 938, 18321, 995, 12660, 687, 269, 808, 528, 2102, 9753, 519, 11608, 547, 9114, 1524, 543, 547, 15350, 654, 6559, 3388, 789, 917, 827, 3425, 269, 808, 528, 2102, 3762, 538, 519, 5624, 1222, 269, 6969, 646, 4422, 646, 16976, 547, 4734, 513, 5373, 540, 519, 9891, 1062, 15691, 519, 11608, 1131, 835, 1554, 1265, 519, 22731, 5851, 540, 5274, 640, 563, 2108, 15987, 14134, 619, 12603, 892, 568, 22350, 2366, 14939, 543, 19020, 569, 5143, 267, 621, 1281, 1683, 513, 1390, 4308, 540, 4898, 269, 594, 2503, 1394, 538, 476, 3707, 275, 922, 2093, 2813, 3833, 606, 1764, 269, 1656, 952, 596, 1224, 519, 1650, 5702, 267, 596, 1223, 1265, 1082, 811, 2257, 1922, 12302, 2093, 602, 723, 1831, 804, 7865, 936, 519, 1296, 269, 634, 1650, 3884, 1406, 10565, 269, 898, 779, 1175, 606, 11200, 532, 540, 954, 24286, 2035, 269, 901, 729, 1455, 1394, 538, 519, 2038, 2395, 540, 2257, 5708, 563, 2026, 2257, 5708, 7960, 267, 5830, 1185, 547, 15827, 2257, 27395, 2093, 883, 10565, 10207, 543, 6946, 13602, 269, 2334, 729, 1946, 7917, 589, 269, 26081, 548, 514, 1500, 971, 606, 1764, 950, 646, 3459, 13629, 538, 476, 4350, 280, 269, 700, 6856, 1642, 1234, 344, 6913, 713, 538, 1010, 3209, 5055, 968, 301, 12883, 2223, 799, 729, 2663, 9450, 883, 513, 3209, 269, 1717, 267, 602, 1650, 814, 1831, 18584, 1317, 540, 938, 1702, 540, 10570, 1648, 563, 3086, 602, 594, 6557, 2542, 782, 891, 2025, 2257, 27395, 16320, 3098, 594, 6557, 711, 6005, 875, 2257, 1922, 12302, 2093, 941, 1031, 547, 4020, 2257, 1922, 12302, 2984, 269, 3163, 5708, 602, 5916, 2093, 543, 1434, 9423, 2553, 4769, 1406, 2731, 10836, 2394, 519, 476, 4198, 271, 338, 269, 589, 1390, 1383, 568, 968, 293, 1180, 569, 18278, 892, 676, 21238, 645, 6856, 610, 968, 763, 9855, 631, 1054, 892, 676, 10793, 966, 766, 950, 519, 3197, 543, 9423, 2968, 1259, 811, 1271, 982, 519, 24700, 2856, 563, 10214, 2221, 267, 2257, 5708, 1419, 7959, 899, 513, 5856, 3357, 909, 609, 606, 2856, 543, 1287, 11827, 3197, 543, 513, 4729, 547, 13686, 519, 2856, 269, 1284, 2760, 1745, 808, 528, 2102, 568, 513, 1483, 1268, 269, 589, 4831, 7721, 2217, 568, 24898, 23583, 689, 968, 23044, 619, 585, 13641, 1716, 517, 1848, 2334, 1650, 814, 1896, 2257, 1922, 12302, 2093, 538, 621, 267, 855, 1018, 649, 3314, 568, 24898, 543, 1018, 646, 5433, 269, 700, 6856, 1642, 1234, 344, 6645, 721, 1018, 808, 528, 2102, 5433, 267, 855, 649, 2760, 1995, 1010, 4664, 607, 649, 798, 609, 24898, 23583, 269, 1717, 267, 594, 2219, 519, 8574, 4098, 609, 968, 17954, 752, 9724, 2482, 22290, 1864, 2507, 892, 729, 3833, 1434, 585, 1642, 1234, 344, 693, 519, 942, 563, 296, 4898, 875, 513, 2413, 5856, 1131, 2328, 713, 1482, 1650, 2221, 286, 1548, 952, 621, 729, 1175, 835, 6429, 267, 519, 851, 532, 6429, 267, 543, 621, 1185, 519, 10565, 1764, 540, 519, 968, 307, 8986, 538, 519, 14175, 892, 6429, 689, 2349, 1228, 14840, 1676, 286, 2060, 865, 1906, 1913, 649, 1745, 7184, 585, 20858, 15506, 1399, 269, 1656, 649, 3314, 602, 4743, 585, 519, 1964, 540, 938, 2729, 269, 16393, 2576, 1118, 721, 1745, 585, 808, 528, 2102, 607, 649, 798, 585, 24898, 23583, 888, 9617, 1589, 540, 782, 519, 2093, 594, 786, 1265, 538, 891, 16320, 3098, 267, 855, 875, 1082, 540, 519, 2984, 786, 723, 10427, 9423, 543, 2620, 3929, 1764, 286, 594, 3580, 1294, 543, 1577, 596, 917, 563, 22832, 28615, 20831, 267, 476, 273, 270, 1015, 270, 2537, 454, 274, 4555, 593, 968, 2108, 15987, 14134, 619, 12603, 892, 676, 700, 6856, 1642, 1234, 344, 7536, 6624, 7064, 585, 713, 4062, 267, 13343, 256, 594, 899, 891, 1585, 1306, 574, 990, 270, 16675, 6199, 270, 310, 2795, 16320, 3098, 267, 543, 723, 1044, 7444, 2324, 1250, 1259, 998, 873, 269, 1306, 574, 990, 1705, 824, 16320, 3098, 609, 824, 1071, 24737, 6002, 267, 971, 607, 835, 11331, 476, 2004, 10374, 3163, 11470, 24079, 630, 534, 16320, 1108, 540, 2110, 6879, 2176, 1070, 609, 23108, 742, 1230, 330, 4802, 563, 296, 10093, 1406, 2943, 1224, 968, 15987, 14134, 619, 12603, 2223, 855, 594, 723, 513, 4015, 593, 1688, 609, 713, 1650, 1700, 763, 7216, 5548, 1234, 344, 267, 11730, 476, 273, 1700, 810, 6148, 594, 3580, 1205, 547, 621, 4166, 269, 0, 8072, 297, 525, 3726, 19843, 8730, 610, 2048, 297, 525, 340, 545, 612, 525, 685, 286, 24686, 1105, 531, 5980, 1996, 519, 6356, 4369, 540, 519, 2296, 28247, 625, 563, 8072, 297, 525, 3726, 19843, 8730, 610, 2048, 297, 525, 340, 545, 612, 525, 685, 888, 15031, 686, 1105, 531, 5980, 1996, 519, 6356, 4369, 540, 519, 2296, 28247, 625, 563, 268, 634, 2262, 2048, 297, 525, 340, 545, 612, 525, 685, 568, 513, 1404, 593, 1913, 649, 11827, 267, 11544, 2048, 297, 525, 3726, 685, 543, 2048, 306, 15471, 263, 525, 264, 20371, 7246, 1053, 7629, 7431, 595, 23565, 601, 543, 700, 2946, 320, 7763, 27599, 267, 689, 938, 8836, 5525, 27587, 23422, 693, 589, 1460, 5336, 12838, 4068, 2160, 267, 5206, 713, 5816, 2022, 593, 6307, 24156, 779, 960, 543, 4938, 566, 563, 763, 12081, 540, 10348, 10906, 594, 568, 24190, 609, 519, 3909, 11685, 1063, 17557, 1143, 543, 30871, 1369, 4789, 267, 1141, 519, 7826, 20655, 729, 782, 519, 811, 3746, 2213, 676, 4031, 971, 607, 519, 2920, 540, 10016, 8145, 2329, 267, 610, 519, 2920, 540, 31538, 640, 267, 543, 24458, 676, 519, 17557, 8128, 269, 1809, 1256, 952, 30871, 729, 19275, 538, 4789, 267, 621, 1705, 711, 2061, 519, 1034, 535, 969, 550, 21071, 689, 22745, 519, 2296, 17030, 538, 476, 15647, 271, 267, 4171, 1292, 3483, 729, 547, 3142, 1394, 519, 7826, 5132, 547, 4789, 267, 1256, 952, 621, 5921, 547, 8399, 5906, 569, 896, 16225, 269, 17652, 2614, 267, 7826, 2021, 4956, 547, 6443, 519, 2296, 17030, 267, 610, 693, 2547, 547, 948, 543, 3895, 621, 607, 1454, 607, 789, 1223, 563, 17798, 267, 6307, 24156, 267, 1310, 513, 3126, 540, 10143, 22649, 267, 8547, 1200, 4659, 538, 476, 14065, 272, 267, 1141, 519, 2296, 28247, 625, 1131, 5531, 543, 957, 607, 519, 4775, 11218, 540, 519, 20908, 7057, 269, 1809, 267, 538, 519, 476, 1626, 628, 2540, 267, 519, 1249, 602, 1022, 4807, 1058, 723, 971, 7115, 267, 6659, 11685, 543, 13253, 267, 5103, 519, 7145, 540, 519, 2296, 28247, 625, 563, 763, 2296, 17030, 267, 610, 2048, 300, 2153, 6764, 6372, 685, 538, 17557, 4789, 563, 2691, 519, 17557, 2229, 8057, 3222, 540, 519, 2132, 540, 519, 28773, 538, 4789, 689, 476, 14991, 275, 267, 519, 6755, 531, 16572, 941, 5293, 547, 1491, 3800, 1996, 519, 2296, 17030, 269, 1452, 4031, 5497, 547, 1118, 30871, 10363, 267, 543, 621, 5795, 1797, 547, 519, 10906, 534, 1062, 547, 19439, 1022, 17308, 945, 1131, 2119, 547, 6460, 2296, 1004, 563, 10303, 519, 17557, 8128, 3366, 986, 1749, 547, 21048, 559, 1022, 7826, 2534, 267, 519, 28773, 5030, 538, 3348, 13895, 2175, 267, 543, 789, 1185, 547, 12404, 950, 1316, 2358, 519, 7826, 5132, 538, 519, 5321, 540, 519, 13794, 269, 4595, 519, 4098, 540, 519, 2296, 17030, 267, 519, 7826, 2021, 941, 849, 3238, 538, 973, 639, 3599, 267, 607, 789, 1131, 1683, 1071, 3200, 675, 547, 741, 17055, 20577, 267, 15029, 6967, 538, 519, 20224, 563, 21953, 267, 950, 519, 2296, 28247, 625, 3459, 9117, 607, 519, 4775, 13413, 540, 519, 20908, 7057, 267, 621, 8604, 602, 789, 6785, 875, 547, 946, 519, 575, 25311, 3613, 699, 8040, 540, 30013, 2486, 547, 741, 5413, 267, 543, 547, 3262, 30871, 693, 2547, 607, 6707, 607, 519, 20908, 7057, 269, 11569, 267, 950, 6307, 24156, 1185, 1200, 10143, 22649, 3056, 547, 519, 5748, 540, 519, 4659, 267, 1352, 4607, 519, 5048, 547, 2048, 339, 820, 519, 23893, 540, 519, 5980, 8730, 799, 5921, 547, 3490, 621, 593, 519, 2203, 540, 519, 5980, 540, 4906, 267, 1175, 607, 22695, 520, 3780, 700, 1195, 7637, 1185, 17695, 2213, 269, 634, 2856, 729, 602, 519, 2296, 28247, 625, 1131, 1404, 519, 1482, 1909, 607, 519, 20908, 7057, 538, 519, 2296, 17030, 267, 855, 585, 2021, 543, 6690, 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, 290, 617, 1410, 476, 1724, 910, 2423, 2195, 2895, 24191, 20375, 3717, 454, 12812, 28313, 547, 2070, 543, 9419, 2903, 938, 1292, 1232, 617, 902, 538, 7300, 3898, 563, 4462, 1652, 6382, 8612, 782, 27589, 543, 3029, 3769, 593, 713, 3896, 616, 519, 3959, 540, 9736, 476, 1001, 277, 9147, 13070, 12629, 2593, 2353, 7126, 27616, 563, 4462, 2246, 615, 2213, 1502, 525, 542, 543, 946, 267, 12093, 610, 3892, 540, 922, 1570, 610, 922, 28106, 9115, 568, 19275, 269, 28791, 9736, 476, 1001, 277, 9147, 13070, 12629, 814, 11292, 1991, 2854, 9844, 563, 15648, 1382, 540, 808, 291, 11518, 9445, 454, 347, 16829, 676, 808, 6185, 269, 11518, 9445, 593, 5181, 476, 273, 267, 476, 1001, 279, 693, 476, 1321, 281, 1789, 7537, 2008, 1103, 1769, 540, 10609, 2378, 516, 781, 18158, 267, 621, 568, 16094, 15763, 538, 21533, 1369, 519, 14692, 540, 519, 4279, 30958, 563, 4913, 538, 519, 6264, 1544, 547, 519, 717, 21289, 11768, 907, 16838, 9093, 6390, 675, 3877, 713, 13798, 1410, 267, 607, 1281, 519, 3003, 3135, 13807, 534, 563, 5445, 782, 2491, 1945, 538, 1931, 547, 1174, 519, 2347, 5048, 563, 3086, 10609, 2378, 516, 781, 3312, 4463, 2016, 538, 5450, 878, 849, 814, 606, 1840, 1871, 540, 476, 1724, 282, 609, 513, 4463, 540, 476, 16960, 269, 276, 7397, 269, 1496, 272, 266, 275, 266, 274, 266, 276, 284, 476, 1724, 316, 18679, 763, 12476, 540, 10609, 2378, 516, 538, 7397, 11224, 476, 21497, 269, 2764, 829, 2427, 1496, 21497, 269, 2764, 1535, 275, 815, 476, 279, 8618, 269, 1321, 7132, 4463, 476, 16960, 269, 276, 284, 476, 272, 267, 21916, 269, 7830, 316, 476, 272, 267, 21916, 269, 7830, 3773, 909, 568, 476, 272, 266, 275, 266, 277, 266, 273, 284, 476, 1724, 454, 294, 21289, 781, 1647, 18158, 10609, 2378, 516, 267, 849, 1634, 607, 4258, 874, 1066, 814, 513, 3490, 540, 1142, 2427, 1226, 16226, 476, 3583, 277, 3952, 269, 1496, 278, 266, 277, 284, 1724, 2639, 2005, 568, 4092, 693, 513, 3845, 540, 476, 11260, 7397, 1496, 272, 266, 278, 266, 276, 284, 1724, 348, 1985, 547, 519, 4279, 30958, 563, 1607, 4099, 18158, 781, 2427, 1606, 331, 2100, 5086, 849, 3947, 721, 713, 1469, 609, 922, 5086, 693, 476, 7871, 269, 1724, 26440, 4181, 563, 2005, 781, 3312, 4463, 540, 476, 5325, 272, 3952, 19132, 607, 476, 28638, 10699, 1080, 3248, 10472, 11224, 476, 1724, 15875, 689, 7750, 1080, 4946, 476, 273, 266, 278, 266, 275, 284, 26467, 1410, 476, 1724, 563, 763, 590, 2117, 20652, 849, 9727, 538, 1585, 25948, 2418, 22589, 3169, 10609, 2378, 8145, 566, 547, 519, 3504, 16786, 781, 540, 8193, 519, 11599, 1297, 540, 476, 1724, 607, 7229, 676, 14787, 27205, 4469, 785, 619, 8891, 4471, 267, 609, 606, 9018, 3259, 540, 476, 9818, 269, 6924, 6279, 269, 634, 6418, 3259, 568, 476, 10019, 269, 10463, 24263, 909, 547, 476, 5952, 799, 476, 279, 266, 276, 284, 1724, 563, 763, 3544, 476, 9818, 269, 6924, 6279, 19132, 538, 3952, 607, 476, 279, 269, 5038, 1247, 519, 3330, 476, 10019, 269, 10463, 19132, 607, 476, 278, 269, 271, 2568, 5400, 274, 3451, 538, 3952, 563, 763, 1079, 2338, 3773, 1927, 912, 28785, 950, 3773, 1927, 11224, 476, 1724, 1496, 272, 266, 276, 266, 278, 284, 476, 1724, 2639, 298, 327, 2378, 516, 781, 18158, 3710, 2390, 606, 26749, 267, 18795, 2390, 513, 476, 3451, 3723, 19516, 531, 3248, 1492, 1297, 476, 3451, 568, 513, 1412, 1873, 532, 262, 1297, 593, 9511, 781, 5019, 847, 528, 609, 513, 1360, 1271, 4644, 547, 717, 21289, 781, 10609, 2378, 516, 19516, 531, 18158, 13031, 606, 1412, 2117, 2173, 10056, 262, 602, 5360, 625, 609, 3047, 781, 1184, 1308, 7852, 28550, 563, 1103, 519, 1744, 20760, 540, 4279, 1145, 3248, 12506, 543, 4099, 513, 5048, 2854, 538, 6149, 547, 938, 18472, 2676, 11004, 568, 1769, 539, 10609, 2378, 8145, 566, 2016, 547, 938, 9835, 6827, 832, 26467, 1410, 476, 1724, 563, 290, 641, 787, 2431, 1382, 540, 808, 291, 808, 1030, 9445, 476, 1001, 279, 9625, 26467, 1410, 476, 1724, 454, 347, 16829, 676, 808, 6185, 269, 11518, 9445, 593, 4728, 476, 2767, 267, 476, 1001, 279, 693, 476, 272, 281, 2412, 6751, 2008, 307, 879, 540, 30622, 539, 1030, 516, 781, 26467, 1410, 454, 10907, 1484, 519, 1163, 534, 572, 540, 938, 1390, 8608, 267, 649, 1265, 1585, 1114, 20375, 538, 13470, 10537, 1106, 563, 19770, 3091, 519, 2185, 521, 3660, 21083, 1412, 307, 25523, 28353, 262, 18158, 563, 23338, 3013, 3091, 519, 2098, 24513, 584, 520, 1900, 1790, 344, 1090, 573, 563, 5715, 2158, 807, 6799, 519, 5153, 8862, 749, 18158, 563, 2691, 621, 2501, 547, 717, 21289, 267, 519, 2244, 540, 519, 16618, 267, 649, 1265, 782, 1614, 540, 891, 6093, 1826, 26829, 563, 2171, 1265, 15223, 336, 541, 571, 781, 30622, 29141, 18158, 1196, 1881, 607, 513, 2098, 24513, 584, 520, 18158, 563, 292, 697, 5195, 547, 519, 5087, 649, 12398, 519, 570, 25523, 28353, 26829, 562, 1144, 607, 4258, 3591, 267, 10609, 2378, 516, 543, 9093, 6390, 675, 563, 26668, 5195, 2417, 547, 519, 5087, 267, 649, 1265, 13883, 593, 1283, 540, 513, 14629, 267, 519, 18158, 1634, 607, 30622, 539, 1030, 516, 269, 9741, 568, 1634, 538, 14621, 547, 713, 1631, 1232, 13846, 13470, 10537, 2497, 563, 7437, 519, 4064, 540, 9147, 3397, 12629, 781, 595, 10485, 3778, 267, 1739, 519, 10881, 540, 938, 9835, 6827, 832, 907, 933, 2709, 513, 1114, 2070, 10756, 1607, 18158, 781, 2895, 24191, 2140, 729, 2016, 607, 910, 834, 291, 329, 539, 1030, 516, 781, 10060, 787, 21708, 8487, 27745, 713, 581, 519, 1101, 23319, 907, 888, 257, 291, 329, 539, 1030, 516, 781, 18158, 729, 4056, 12147, 1114, 689, 1346, 540, 1010, 7525, 21530, 25600, 538, 602, 519, 20830, 941, 9944, 519, 18158, 3079, 540, 3330, 269, 634, 18158, 729, 3710, 936, 513, 2067, 544, 895, 543, 519, 20830, 941, 2813, 1210, 519, 1412, 335, 527, 543, 19856, 262, 1505, 267, 5892, 1031, 593, 930, 15958, 19487, 9723, 2125, 563, 291, 329, 539, 1030, 516, 25653, 513, 8486, 476, 2641, 332, 1535, 476, 280, 332, 543, 476, 736, 332, 2620, 538, 519, 2067, 544, 895, 269, 589, 19856, 729, 2813, 693, 606, 5086, 540, 476, 2420, 23263, 3374, 262, 543, 519, 20830, 543, 1569, 8574, 941, 3710, 1369, 519, 8486, 543, 593, 519, 19856, 563, 5629, 519, 1412, 27903, 20830, 262, 941, 8737, 267, 519, 8486, 543, 19856, 941, 4904, 538, 543, 519, 18158, 3710, 936, 519, 1283, 269, 901, 4847, 519, 20830, 547, 581, 1500, 1510, 15993, 532, 267, 543, 14284, 519, 7293, 8374, 540, 1818, 20830, 1369, 519, 1560, 540, 519, 18158, 3294, 269, 1261, 849, 26871, 1540, 547, 606, 4505, 2511, 540, 4070, 676, 2870, 513, 14328, 26456, 3774, 20218, 5087, 1606, 1926, 267, 2147, 547, 1346, 540, 30622, 29141, 543, 1530, 330, 1335, 330, 2867, 4799, 1607, 2189, 2497, 540, 30622, 539, 1030, 516, 267, 849, 1634, 607, 519, 18158, 540, 2098, 1177, 344, 564, 4432, 5025, 32569, 267, 1223, 1360, 1134, 723, 1044, 3710, 607, 606, 769, 30062, 9891, 25076, 563, 291, 329, 539, 1030, 516, 781, 11454, 693, 26512, 21984, 1662, 1281, 711, 2408, 547, 723, 1044, 9112, 607, 513, 2407, 18158, 269, 8786, 621, 1185, 6821, 267, 855, 621, 7012, 1405, 20583, 607, 519, 2757, 18158, 1336, 693, 717, 21289, 269, 3245, 4974, 26829, 1158, 2647, 267, 6616, 519, 10060, 787, 4149, 5652, 18158, 729, 9112, 543, 3710, 476, 6110, 3952, 1412, 629, 913, 262, 519, 29415, 267, 7132, 621, 781, 10066, 267, 4020, 519, 4756, 10881, 6035, 602, 621, 729, 606, 18532, 1412, 13449, 25101, 2616, 2218, 262, 799, 2636, 6801, 547, 581, 2938, 1282, 519, 1412, 1485, 942, 262, 538, 25545, 2916, 10851, 563, 5978, 3504, 12206, 17941, 30622, 539, 1030, 516, 781, 18158, 609, 519, 25084, 2048, 295, 24250, 8730, 607, 621, 568, 13883, 607, 717, 21289, 781, 5207, 7510, 571, 2389, 655, 921, 563, 1103, 3504, 5527, 267, 606, 31485, 2899, 4280, 606, 4056, 912, 28490, 596, 941, 606, 31485, 267, 875, 1131, 596, 1376, 2679, 606, 24666, 2616, 2218, 267, 799, 1131, 581, 9985, 538, 1899, 609, 513, 5789, 22941, 5858, 267, 689, 799, 835, 1223, 7747, 543, 4001, 1762, 1004, 875, 547, 3313, 519, 18302, 540, 782, 540, 519, 6801, 538, 519, 30723, 18313, 1103, 519, 27450, 16684, 532, 540, 10732, 267, 5130, 476, 1839, 267, 476, 1220, 275, 267, 10370, 526, 517, 5487, 305, 537, 3832, 12943, 602, 2243, 676, 6031, 281, 968, 2791, 8910, 1628, 513, 2620, 8486, 267, 513, 2620, 1134, 267, 543, 952, 519, 1134, 568, 7522, 569, 6378, 267, 596, 666, 2965, 1294, 6801, 1282, 519, 24817, 267, 543, 3226, 538, 2127, 799, 616, 9425, 25545, 269, 1656, 602, 779, 950, 513, 2603, 540, 17651, 729, 2944, 269, 1358, 1185, 519, 30148, 6607, 267, 799, 789, 941, 2111, 547, 5619, 713, 1259, 267, 543, 849, 519, 24817, 6607, 269, 7763, 687, 540, 519, 10785, 543, 865, 8521, 267, 789, 1223, 1294, 267, 538, 519, 546, 23677, 3034, 10521, 1919, 941, 5612, 6508, 689, 713, 1101, 8343, 8574, 269, 2290, 568, 602, 519, 1482, 2235, 2794, 6897, 6801, 1131, 2097, 2066, 519, 5789, 22941, 693, 2834, 11996, 540, 942, 543, 1131, 2721, 1507, 10580, 1472, 519, 22966, 17155, 3345, 24504, 269, 19627, 267, 713, 15868, 519, 20626, 547, 4786, 519, 5730, 12557, 540, 6801, 693, 741, 5580, 610, 2539, 7583, 332, 1588, 267, 799, 1223, 581, 7229, 676, 1579, 10043, 323, 6652, 630, 4248, 23234, 1916, 13295, 729, 3964, 267, 538, 5527, 267, 519, 5730, 1353, 540, 16287, 2834, 16070, 13350, 640, 540, 519, 31676, 4703, 267, 543, 519, 7648, 538, 13350, 640, 585, 3476, 5712, 540, 942, 269, 634, 1152, 1259, 547, 3715, 971, 513, 8471, 8990, 729, 547, 723, 1079, 6378, 2798, 1472, 799, 3388, 3116, 6410, 281, 835, 593, 3618, 267, 543, 835, 538, 519, 30723, 269, 4495, 891, 1079, 2798, 941, 6378, 538, 6149, 267, 519, 2679, 540, 519, 18158, 1223, 2253, 4799, 2414, 4368, 513, 4087, 540, 717, 21289, 267, 30622, 539, 1030, 516, 781, 30141, 18158, 729, 2374, 331, 2213, 476, 6110, 3952, 1657, 519, 9390, 29415, 4758, 4287, 547, 1412, 1467, 540, 8289, 262, 18330, 7551, 7587, 5024, 519, 3152, 8566, 21289, 2666, 1544, 2482, 13050, 563, 2005, 1058, 581, 3964, 476, 1724, 9397, 1524, 607, 476, 272, 266, 274, 284, 275, 8159, 30622, 539, 1030, 516, 781, 6074, 4087, 15202, 519, 476, 6110, 3723, 7823, 3490, 4463, 269, 634, 3573, 1412, 322, 1021, 3118, 262, 6027, 693, 476, 272, 267, 3583, 276, 15432, 3947, 519, 5311, 538, 2338, 540, 476, 272, 266, 278, 266, 276, 284, 1724, 269, 1452, 2338, 4805, 13182, 621, 568, 851, 540, 938, 9835, 6827, 832, 26467, 1410, 476, 1724, 5048, 267, 2705, 609, 3773, 642, 785, 1709, 267, 972, 616, 849, 1079, 4130, 11105, 1412, 335, 527, 262, 4230, 25233, 10473, 1138, 559, 3511, 547, 30622, 539, 1030, 516, 4010, 476, 9873, 271, 15432, 6306, 563, 9873, 271, 15432, 689, 30622, 539, 1030, 516, 568, 519, 1101, 17651, 3613, 566, 267, 543, 1776, 476, 9873, 271, 15432, 689, 519, 1101, 6728, 29084, 519, 2034, 6728, 24223, 519, 2063, 6728, 540, 519, 2119, 696, 747, 2616, 2218, 11768, 563, 263, 1607, 3381, 689, 476, 736, 547, 476, 2641, 3764, 13462, 519, 476, 274, 6753, 1519, 30622, 539, 1030, 516, 693, 476, 9873, 271, 15432, 1142, 264, 4179, 2517, 344, 719, 340, 269, 2041, 270, 318, 325, 309, 341, 301, 275, 318, 292, 329, 311, 271, 454, 1103, 803, 6549, 603, 545, 1106, 267, 938, 9835, 6827, 832, 27485, 741, 5048, 540, 519, 10060, 787, 910, 306, 5652, 267, 519, 5020, 10414, 538, 799, 649, 782, 4866, 267, 689, 950, 576, 649, 3357, 10371, 718, 4927, 2132, 563, 2026, 1127, 547, 607, 1127, 267, 5182, 787, 1606, 5652, 10060, 706, 560, 563, 5804, 938, 606, 857, 757, 267, 649, 941, 1655, 15735, 519, 3090, 540, 519, 570, 879, 267, 799, 666, 849, 581, 1336, 519, 1158, 936, 543, 711, 9138, 4481, 547, 5527, 563, 291, 329, 539, 1030, 516, 781, 18158, 568, 9112, 538, 519, 3337, 540, 713, 5020, 3766, 1516, 10414, 267, 547, 7618, 721, 540, 519, 570, 879, 8343, 476, 3248, 16908, 666, 581, 1336, 1369, 21765, 3108, 607, 1134, 607, 519, 3781, 1769, 539, 2070, 547, 945, 649, 616, 269, 1284, 616, 607, 1082, 607, 519, 6801, 267, 543, 649 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 581, 23012, 269, 2334, 32131, 899, 513, 1279, 543, 32462, 11049, 8400, 1256, 609, 1265, 22812, 2897, 269, 634, 2656, 2626, 547, 602, 729, 513, 476, 277, 1899, 630, 20360, 3298, 22553, 264, 595, 258, 1982, 547, 8850, 12575, 1257, 2250, 539, 689, 966, 306, 8943, 883, 513, 3818, 11060, 1257, 7901, 267, 11093, 519, 1267, 538, 1776, 1257, 4216, 4712, 547, 581, 5299, 2250, 539, 547, 519, 20798, 9517, 292, 269, 6271, 1907, 1631, 9361, 538, 1250, 1907, 7901, 780, 763, 1657, 3239, 2982, 1250, 3803, 1267, 3842, 519, 1357, 11422, 8818, 269, 8786, 267, 936, 476, 2568, 8536, 8320, 540, 519, 14181, 18602, 1362, 941, 2877, 547, 4194, 713, 11015, 4352, 1034, 616, 513, 2603, 1447, 3454, 532, 269, 589, 811, 6093, 1267, 1131, 723, 2938, 519, 11015, 12193, 538, 513, 7008, 540, 20870, 338, 540, 513, 2034, 780, 763, 4528, 1210, 519, 5395, 658, 18554, 630, 5408, 2630, 264, 814, 513, 12863, 855, 11807, 6881, 4352, 4259, 513, 1007, 11015, 1522, 6961, 513, 512, 611, 804, 636, 1910, 269, 630, 2005, 1281, 723, 513, 2603, 540, 13410, 3710, 538, 4712, 547, 1404, 609, 6393, 1432, 1705, 594, 4734, 856, 540, 519, 1357, 11422, 4528, 286, 594, 1223, 723, 3773, 10084, 29441, 3009, 547, 2327, 602, 519, 3593, 1152, 9411, 25948, 2418, 1063, 476, 272, 543, 476, 280, 855, 594, 4990, 540, 18808, 609, 602, 3390, 676, 8156, 782, 1591, 2418, 602, 941, 711, 4570, 9704, 607, 513, 10145, 1591, 269, 594, 1223, 849, 723, 7318, 602, 519, 11015, 1185, 513, 5934, 540, 476, 1704, 4570, 2281, 1210, 693, 2547, 476, 279, 540, 519, 2418, 476, 272, 547, 476, 280, 269, 2311, 519, 1439, 540, 519, 1554, 1498, 267, 713, 729, 606, 20798, 1788, 547, 2263, 519, 946, 540, 513, 4604, 3246, 513, 1357, 3028, 1247, 849, 19278, 803, 563, 2791, 1522, 1134, 1589, 602, 713, 2370, 1788, 3893, 513, 3787, 856, 540, 1688, 269, 4635, 9786, 779, 10439, 22456, 267, 966, 306, 8943, 267, 513, 2688, 8837, 1982, 543, 519, 20798, 9517, 292, 269, 3502, 788, 611, 10030, 3357, 538, 13561, 693, 835, 1448, 543, 519, 24904, 11422, 17354, 2645, 941, 17170, 269, 9578, 1603, 3009, 1210, 595, 10030, 267, 595, 258, 267, 10084, 29441, 543, 14103, 782, 609, 519, 9837, 540, 2417, 1818, 14181, 18602, 13410, 1256, 811, 1448, 1652, 269, 898, 1917, 338, 519, 2243, 269, 1656, 519, 2626, 547, 602, 2243, 568, 281, 2679, 519, 2645, 547, 4194, 14181, 18602, 593, 606, 20798, 9863, 1259, 811, 6678, 337, 16226, 982, 3257, 519, 13410, 780, 5472, 540, 519, 3009, 666, 581, 1336, 593, 27707, 29878, 4179, 2517, 326, 603, 889, 2593, 19072, 833, 294, 310, 655, 270, 6635, 18003, 306, 644, 18602, 692, 2791, 786, 1265, 1614, 8747, 972, 269, 5565, 946, 519, 5395, 658, 18554, 547, 4159, 513, 2347, 11015, 543, 519, 3791, 814, 519, 2407, 14103, 3593, 8818, 269, 5637, 4485, 946, 811, 610, 1447, 519, 1482, 14181, 18602, 1362, 4352, 519, 31923, 835, 814, 513, 1507, 1110, 547, 5815, 606, 5470, 538, 519, 1305, 11015, 547, 519, 10912, 1357, 2985, 563, 2252, 596, 1175, 16681, 2921, 513, 1413, 693, 519, 14181, 18602, 24626, 1287, 519, 5395, 658, 18554, 8747, 616, 4440, 585, 596, 269, 1403, 596, 616, 5461, 538, 1210, 606, 20798, 547, 1683, 1357, 2533, 1287, 519, 824, 4781, 1131, 6961, 811, 10694, 540, 1576, 780, 5278, 4967, 593, 519, 1489, 3009, 538, 519, 31923, 4528, 780, 5475, 519, 4604, 13462, 547, 31923, 519, 7746, 568, 3323, 593, 2823, 476, 3199, 630, 20598, 26824, 1040, 634, 7746, 568, 16913, 538, 519, 3044, 8520, 3890, 1599, 7996, 585, 7817, 4296, 269, 1403, 513, 4276, 568, 1500, 1287, 3197, 2366, 676, 519, 7817, 616, 6740, 538, 513, 17280, 7996, 585, 606, 1439, 540, 1899, 1915, 630, 10472, 1568, 5386, 609, 717, 4953, 13668, 1040, 1879, 519, 1439, 540, 513, 1899, 568, 9571, 1287, 519, 17280, 568, 13761, 547, 1294, 1018, 519, 7662, 568, 269, 1403, 519, 7662, 568, 585, 968, 270, 968, 1287, 519, 2985, 5627, 519, 3593, 8818, 568, 6039, 547, 519, 7817, 269, 1403, 519, 7662, 3568, 519, 630, 541, 4226, 9009, 264, 5569, 968, 1690, 1314, 270, 892, 1287, 713, 568, 5701, 607, 513, 7662, 585, 11015, 6061, 269, 634, 11015, 5569, 1058, 1246, 513, 2048, 286, 685, 1915, 10834, 519, 1376, 540, 519, 7662, 1239, 4947, 689, 519, 7817, 780, 763, 4196, 288, 329, 1314, 3890, 1599, 19306, 519, 11015, 5569, 543, 10596, 621, 547, 513, 1007, 3236, 540, 519, 14181, 18602, 1362, 543, 10596, 602, 547, 519, 4194, 3890, 1599, 269, 1403, 782, 4422, 1134, 1287, 519, 11015, 568, 8120, 607, 851, 540, 513, 32227, 5569, 2059, 609, 930, 7194, 269, 1403, 606, 5470, 568, 9571, 1287, 513, 2241, 5470, 5048, 30283, 519, 11015, 3070, 538, 519, 32227, 799, 849, 2882, 606, 5470, 9206, 780, 2026, 595, 10030, 1281, 711, 1489, 8086, 267, 519, 1599, 1031, 547, 1711, 519, 32227, 5569, 568, 1808, 547, 713, 4305, 1107, 621, 1131, 581, 8799, 547, 2328, 1945, 13598, 269, 634, 1599, 1934, 3096, 519, 20798, 21642, 1843, 602, 538, 2489, 594, 2057, 269, 898, 1281, 723, 930, 10626, 950, 596, 723, 547, 2445, 513, 1297, 540, 3334, 883, 513, 5569, 543, 922, 946, 568, 1175, 827, 11807, 950, 16876, 538, 513, 5634, 1599, 865, 602, 519, 3965, 11640, 786, 3533, 581, 16626, 269, 2290, 1554, 267, 594, 2731, 1590, 1694, 543, 3009, 513, 1732, 21642, 1362, 1107, 835, 1554, 563, 763, 1614, 3252, 602, 630, 18474, 1441, 264, 1780, 519, 1357, 2985, 1543, 547, 606, 7923, 7817, 950, 16761, 616, 593, 5094, 29601, 3957, 28509, 21397, 543, 28509, 297, 306, 269, 901, 11460, 729, 3274, 547, 1832, 519, 1292, 3009, 9184, 2973, 269, 2353, 789, 798, 568, 3977, 630, 553, 12673, 264, 519, 1543, 540, 519, 1357, 2985, 799, 1058, 581, 9838, 547, 519, 4994, 11258, 3758, 3769, 538, 519, 27707, 29878, 23789, 630, 553, 621, 568, 1259, 4443, 547, 1224, 1040, 634, 3009, 3096, 519, 24177, 11346, 3989, 585, 1022, 7179, 1843, 630, 4310, 676, 5395, 658, 607, 1134, 607, 519, 31923, 5141, 1304, 3236, 264, 693, 519, 1283, 540, 519, 14181, 18602, 19544, 9184, 780, 5278, 4967, 593, 519, 1357, 2985, 692, 2252, 596, 1413, 693, 519, 4994, 11258, 2985, 6041, 540, 519, 2985, 602, 568, 6039, 676, 713, 20798, 1788, 596, 786, 5469, 602, 1079, 6119, 616, 22434, 689, 7131, 28213, 269, 901, 1797, 602, 593, 693, 2547, 519, 1101, 8317, 602, 519, 1788, 568, 2196, 267, 621, 2115, 547, 581, 593, 513, 31923, 3060, 609, 606, 5769, 4276, 630, 6518, 568, 519, 4397, 1533, 538, 1034, 8320, 1040, 2991, 602, 267, 519, 6119, 786, 4440, 723, 1044, 524, 3737, 676, 519, 11422, 269, 2290, 540, 519, 6119, 568, 519, 795, 5226, 2044, 5399, 543, 519, 824, 568, 513, 2370, 2003, 653, 2044, 602, 568, 1031, 676, 519, 3009, 547, 798, 930, 7990, 1574, 532, 543, 2306, 1100, 6209, 9295, 547, 519, 4305, 1107, 855, 594, 899, 621, 563, 2691, 519, 20798, 25192, 543, 814, 8678, 513, 31923, 3060, 621, 10525, 519, 7379, 3009, 538, 519, 5395, 658, 18554, 6885, 4712, 547, 581, 9411, 547, 513, 11422, 1107, 519, 2232, 540, 519, 7746, 786, 1419, 581, 1945, 899, 5291, 2517, 4572, 269, 12739, 269, 271, 269, 7367, 270, 780, 763, 14103, 2488, 513, 2241, 5943, 609, 513, 2985, 16144, 267, 513, 2999, 15965, 285, 585, 519, 14181, 18602, 968, 14456, 892, 543, 1614, 16181, 269, 634, 10084, 29441, 2882, 513, 1599, 2721, 8368, 3890, 602, 13976, 513, 3349, 540, 7515, 609, 1142, 6418, 3349, 1591, 5627, 606, 2999, 6358, 285, 3693, 269, 594, 1223, 723, 2813, 519, 2898, 3364, 538, 1665, 5346, 855, 30971, 594, 993, 513, 27732, 543, 7064, 547, 623, 1678, 1690, 27958, 1109, 1721, 519, 7515, 1369, 513, 3349, 2856, 585, 513, 2241, 855, 10694, 3308, 1198, 780, 763, 5383, 602, 2095, 689, 1210, 795, 5226, 2044, 616, 6654, 950, 596, 1413, 693, 519, 2312, 8368, 3890, 1599, 602, 814, 1152, 835, 1899, 780, 763, 4194, 294, 5090, 3890, 1599, 7011, 956, 519, 11015, 5569, 543, 15920, 621, 3842, 513, 717, 4953, 7662, 547, 519, 20798, 7746, 1210, 519, 795, 5226, 2044, 8096, 269, 1690, 1314, 3890, 3710, 538, 1599, 602, 3217, 513, 29250, 630, 332, 755, 581, 851, 540, 519, 1482, 6389, 607, 519, 2985, 729, 10099, 3481, 689, 1070, 1022, 1239, 630, 712, 11015, 264, 543, 513, 1289, 1394, 1599, 585, 1022, 3210, 689, 519, 7746, 780, 763, 1289, 25746, 1599, 568, 1224, 4910, 738, 3890, 543, 713, 3096, 519, 795, 5226, 2044, 269, 27785, 297, 306, 2177, 3890, 1599, 547, 1711, 513, 10084, 29441, 1843, 689, 519, 32227, 5569, 950, 621, 21128, 269, 7073, 8747, 540, 10084, 29441, 630, 1348, 2413, 26292, 264, 723, 513, 2147, 1599, 32227, 269, 27785, 3890, 1107, 1175, 2760, 581, 15673, 539, 547, 946, 859, 531, 3890, 538, 713, 2796, 630, 24392, 594, 666, 3314, 2348, 547, 267, 538, 3504, 2053, 1040, 634, 2818, 540, 519, 4611, 1843, 616, 1287, 1031, 547, 9337, 519, 30892, 14013, 780, 2026, 513, 12576, 267, 782, 540, 519, 3009, 666, 581, 1336, 267, 12649, 543, 22434, 689, 27707, 29878, 692, 305, 7342, 593, 4587, 20798, 12545, 692, 296, 12995, 513, 3803, 630, 12061, 31923, 264, 4528, 609, 4140, 5534, 946, 540, 11550, 14875, 4932, 547, 1294, 875, 621, 1522, 2196, 593, 4587, 476, 279, 3787, 1488, 706, 16394, 269, 901, 4528, 10443, 5386, 593, 513, 631, 9680, 288, 476, 16348, 271, 4352, 519, 14887, 16267, 5921, 6905, 2196, 2053, 585, 1346, 13410, 602, 2877, 606, 6905, 3406, 547, 8207, 269, 594, 1256, 5795, 602, 4528, 513, 2196, 593, 606, 20798, 6167, 302, 1141, 519, 1101, 1079, 4693, 13410, 941, 12193, 855, 519, 4604, 4503, 3346, 1310, 1346, 5266, 2241, 3283, 941, 6192, 780, 1262, 29247, 15738, 856, 602, 952, 594, 1185, 1044, 8193, 593, 513, 3760, 602, 1031, 519, 3044, 595, 10030, 21070, 543, 1031, 602, 547, 3180, 519, 536, 944, 2418, 713, 1131, 723, 1044, 2944, 8850, 676, 519, 21070, 1362, 269, 1717, 606, 5044, 568, 5488, 982, 513, 6152, 543, 3976, 2141, 30074, 950, 596, 917, 1175, 875, 1082, 2609, 596, 991, 547, 4558, 269, 0, 258, 9612, 2164, 692, 272, 269, 12693, 7490, 2995, 952, 713, 568, 2953, 692, 2467, 616, 5470, 538, 3292, 799, 723, 1079, 2694, 3487, 589, 543, 3487, 645, 269, 623, 263, 19587, 538, 589, 264, 815, 476, 271, 269, 1724, 623, 263, 19587, 538, 645, 264, 815, 476, 271, 269, 4343, 623, 263, 32491, 16154, 950, 5470, 538, 589, 264, 815, 476, 271, 269, 277, 623, 263, 32491, 16154, 950, 5470, 538, 645, 264, 815, 476, 271, 269, 7597, 273, 623, 263, 2889, 326, 16154, 950, 606, 5470, 538, 1312, 589, 543, 645, 264, 815, 476, 271, 269, 8064, 1627, 272, 264, 7312, 1982, 1835, 14414, 269, 4855, 623, 263, 19587, 538, 1312, 2483, 273, 269, 12693, 11192, 5506, 11532, 538, 15922, 525, 11532, 2243, 692, 4131, 621, 581, 10924, 602, 596, 616, 2324, 593, 513, 1788, 538, 681, 269, 634, 1788, 5161, 540, 1079, 2694, 269, 634, 1101, 851, 568, 1759, 593, 10855, 7194, 543, 519, 2034, 835, 568, 547, 2203, 519, 1239, 269, 634, 5506, 602, 972, 568, 606, 5470, 568, 519, 1101, 851, 267, 568, 476, 271, 269, 1724, 269, 1306, 519, 2034, 851, 568, 811, 6310, 865, 2483, 274, 269, 12693, 24951, 3328, 540, 1079, 2164, 2439, 3383, 1934, 568, 513, 2243, 799, 12134, 803, 547, 5635, 519, 1611, 2164, 269, 4179, 2517, 756, 321, 16691, 17320, 275, 312, 16256, 295, 301, 1924, 594, 7229, 519, 1611, 1297, 540, 7972, 829, 476, 1911, 1822, 1004, 1775, 4318, 630, 26316, 280, 270, 21327, 267, 276, 4792, 267, 28760, 12684, 1911, 1822, 815, 476, 272, 269, 1691, 269, 1924, 1018, 547, 2161, 286, 634, 829, 6377, 7972, 540, 476, 1001, 280, 941, 3152, 982, 602, 540, 538, 476, 1708, 271, 269, 2334, 781, 621, 888, 275, 269, 12693, 1772, 1250, 1935, 2953, 585, 713, 23481, 3892, 2243, 2496, 288, 3406, 2599, 14477, 11974, 883, 476, 1428, 1114, 12240, 269, 8307, 519, 476, 280, 12240, 723, 519, 2838, 2164, 269, 1548, 568, 519, 5506, 602, 519, 2838, 1267, 786, 581, 1336, 538, 693, 2547, 476, 274, 540, 519, 1101, 476, 276, 12240, 888, 276, 269, 12693, 1548, 1919, 547, 1331, 538, 5758, 7194, 2496, 295, 6614, 256, 1924, 713, 568, 513, 2243, 1373, 2016, 281, 4179, 2517, 756, 321 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 676, 692, 21851, 6234, 642, 18155, 3667, 346, 337, 916, 3686, 3867, 273, 18098, 842, 23214, 271, 23685, 13727, 7684, 341, 3867, 273, 348, 325, 17635, 9385, 267, 323, 341, 284, 275, 19570, 1422, 3847, 263, 3189, 2765, 2715, 332, 2410, 273, 19570, 737, 307, 14990, 2431, 8203, 3189, 2765, 2715, 274, 2410, 273, 14990, 842, 23214, 271, 23685, 13727, 7684, 341, 3867, 275, 348, 324, 13064, 3189, 2765, 2715, 332, 341, 3867, 273, 12453, 273, 330, 307, 3686, 4153, 267, 323, 341, 269, 10592, 8794, 519, 5610, 4542, 692, 21851, 6234, 1422, 842, 23214, 271, 23685, 13727, 7684, 343, 3867, 273, 333, 348, 324, 13064, 3189, 2765, 2715, 343, 3867, 273, 12453, 320, 3867, 273, 3686, 14990, 267, 11459, 284, 3189, 6912, 11513, 7032, 476, 14990, 267, 3189, 2765, 2715, 263, 273, 333, 25631, 2410, 333, 256, 14990, 3847, 263, 3189, 2765, 2715, 320, 2410, 273, 14990, 2431, 22722, 273, 333, 266, 272, 9574, 315, 15153, 562, 22174, 1422, 13992, 2715, 301, 348, 2073, 20867, 320, 22174, 1422, 13992, 2715, 305, 348, 476, 3867, 266, 9574, 10592, 527, 5205, 602, 692, 21851, 6234, 642, 18155, 3667, 346, 337, 916, 3686, 3867, 273, 13157, 275, 19570, 1422, 3847, 263, 3189, 2765, 2715, 332, 2410, 273, 19570, 737, 307, 14990, 2431, 8203, 3189, 256, 3189, 2765, 2715, 274, 2410, 273, 3686, 7346, 6912, 11513, 7032, 476, 14990, 267, 3189, 2765, 2715, 275, 256, 2410, 273, 256, 14990, 3847, 263, 3189, 2765, 11513, 6912, 11513, 2765, 2715, 273, 330, 307, 2410, 332, 3686, 2410, 273, 14990, 2431, 8203, 3189, 256, 276, 13157, 3189, 2765, 2715, 274, 330, 307, 2410, 332, 3686, 267, 10592, 5228, 799, 649, 1205, 519, 4998, 3154, 1876, 1384, 21851, 6234, 14346, 284, 3189, 2765, 2715, 272, 2410, 274, 3686, 301, 332, 13375, 263, 3189, 2765, 2715, 274, 330, 307, 2410, 332, 14990, 2431, 6661, 301, 330, 307, 269, 10592, 2971, 18926, 11707, 692, 4131, 7117, 815, 630, 336, 343, 267, 7117, 344, 267, 7117, 345, 264, 543, 533, 815, 630, 29210, 267, 7510, 267, 533, 345, 264, 20301, 519, 2990, 6152, 543, 11610, 6152, 540, 513, 9325, 540, 606, 4998, 3154, 267, 6606, 269, 2913, 674, 20301, 519, 2121, 3196, 593, 602, 9325, 269, 3973, 630, 18314, 2053, 264, 519, 942, 8584, 591, 3042, 15452, 1648, 540, 519, 9325, 568, 1384, 3189, 6234, 11513, 8218, 25410, 4153, 30848, 1422, 10400, 2715, 336, 348, 1422, 10383, 1422, 10400, 2715, 293, 348, 1422, 26917, 1299, 7807, 3847, 315, 30848, 7117, 3709, 343, 7346, 2765, 2715, 31389, 3709, 343, 12453, 19049, 14990, 2431, 315, 26917, 1341, 315, 3847, 315, 30848, 7117, 3709, 344, 7346, 2765, 2715, 31389, 3709, 344, 12453, 19049, 14990, 2431, 315, 26917, 1341, 315, 3847, 315, 30848, 7117, 3709, 345, 7346, 2765, 2715, 31389, 3709, 345, 12453, 19049, 14990, 2431, 315, 26917, 8607, 261, 284, 10559, 3847, 315, 30848, 7117, 3709, 343, 7346, 2765, 11513, 14783, 670, 7346, 14783, 7117, 3709, 343, 3686, 4153, 2431, 315, 26917, 28363, 3847, 315, 30848, 7117, 3709, 344, 7346, 2765, 11513, 14783, 670, 7346, 14783, 7117, 3709, 344, 3686, 4153, 2431, 315, 26917, 28363, 3847, 315, 30848, 7117, 3709, 345, 7346, 2765, 11513, 14783, 670, 7346, 14783, 7117, 3709, 345, 3686, 4153, 2431, 315, 26917, 815, 268, 274, 330, 18155, 3667, 346, 289, 3686, 307, 12101, 754, 25410, 3686, 10926, 3602, 519, 1101, 7862, 568, 13053, 781, 2034, 1876, 267, 543, 519, 2034, 1899, 3096, 16803, 781, 4834, 543, 519, 16491, 691, 819, 11532, 269, 5681, 2719, 936, 513, 1062, 540, 715, 5536, 11729, 692, 21851, 6234, 476, 274, 301, 330, 3709, 289, 348, 307, 284, 10559, 3847, 315, 30848, 1422, 8999, 23214, 330, 284, 272, 8703, 301, 4153, 10400, 2715, 336, 348, 23214, 330, 4153, 10383, 1422, 10400, 2715, 293, 348, 23214, 330, 4153, 2431, 315, 26917, 1547, 10592, 3528, 13053, 781, 3791, 1876, 543, 519, 4998, 3154, 13429, 267, 519, 2121, 3196, 540, 519, 1062, 568, 519, 3196, 4294, 676, 519, 6821, 540, 519, 8708, 267, 543, 713, 3196, 568, 2016, 676, 519, 2604, 623, 540, 519, 3154, 269, 9747, 692, 21851, 6234, 28363, 3847, 315, 30848, 1422, 8999, 23214, 330, 284, 272, 8703, 301, 4153, 10400, 2715, 336, 348, 23214, 330, 4153, 10383, 1422, 10400, 2715, 293, 348, 23214, 330, 4153, 2431, 315, 26917, 815, 303, 315, 2002, 9041, 3189, 3667, 346, 338, 16577, 14990, 10400, 2715, 336, 348, 1422, 10383, 546, 315, 10400, 2715, 306, 348, 2073, 10592, 3602, 546, 306, 568, 519, 31208, 2572, 2711, 1858, 3693, 2059, 519, 6821, 540, 519, 8708, 269, 4595, 519, 27754, 540, 519, 2990, 6152, 7117, 568, 692, 21851, 6234, 1422, 10109, 5055, 1422, 10383, 1422, 10400, 2715, 336, 348, 815, 3189, 2765, 11513, 14783, 7117, 3709, 343, 24828, 14783, 7117, 3709, 343, 3686, 15396, 3189, 2765, 11513, 14783, 7117, 3709, 344, 24828, 14783, 7117, 3709, 344, 3686, 15396, 3189, 2765, 11513, 14783, 7117, 3709, 345, 24828, 14783, 7117, 3709, 345, 3686, 13157, 274, 267, 10592, 1492, 27754, 11532, 10522, 602, 692, 21851, 6234, 623, 315, 2002, 9041, 3189, 3667, 346, 338, 16577, 14990, 10400, 2715, 336, 348, 1422, 10383, 546, 315, 10400, 2715, 306, 348, 815, 303, 315, 842, 9041, 3189, 3667, 346, 14179, 2541, 14990, 3847, 7268, 10109, 5055, 1422, 10383, 1422, 10400, 2715, 336, 348, 1422, 2431, 264, 323, 309, 284, 274, 11901, 267, 10592, 3602, 546, 309, 568, 606, 31208, 2572, 2711, 4320, 1369, 519, 8708, 543, 966, 568, 519, 2698, 4320, 540, 519, 8708, 780, 21607, 1154, 891, 3160, 885, 1927, 11729, 692, 21851, 6234, 476, 274, 301, 330, 18155, 3667, 346, 289, 3686, 307, 284, 10559, 3847, 315, 30848, 1422, 8999, 23214, 330, 284, 272, 8703, 301, 4153, 10400, 2715, 336, 348, 23214, 330, 4153, 10383, 1422, 10400, 2715, 293, 348, 23214, 330, 4153, 2431, 315, 26917, 815, 274, 11901, 267, 10592, 6518, 5612, 10522, 519, 4998, 3154, 1876, 585, 715, 5536, 1384, 21851, 6234, 14346, 284, 301, 330, 3709, 289, 348, 307, 284, 333, 20670, 267, 10592, 3602, 562, 815, 715, 270, 2793, 568, 519, 1297, 540, 18253, 540, 3154, 543, 681, 815, 19364, 330, 289, 568, 519, 3154, 3586, 780, 1012, 4033, 7516, 692, 2690, 513, 546, 8820, 1062, 267, 519, 4998, 3154, 2604, 568, 281, 314, 279, 6540, 21851, 6234, 623, 3867, 263, 323, 264, 13157, 3189, 2765, 2715, 301, 330, 3709, 289, 348, 307, 2410, 299, 3867, 323, 3686, 9574, 10592, 3602, 12276, 6234, 700, 3867, 323, 22288, 1109, 568, 519, 4320, 540, 519, 546, 8820, 6389, 538, 799, 519, 3154, 6818, 269, 634, 7516, 540, 519, 2604, 2242, 609, 10155, 1275, 780, 1012, 22108, 692, 272, 269, 9745, 1849, 1901, 344, 1258, 267, 661, 269, 630, 8146, 276, 1040, 834, 300, 2946, 15879, 790, 1147, 3288, 4996, 8599, 2138, 29029, 632, 3288, 669, 1446, 584, 2668, 4750, 632, 561, 262, 32723, 1723, 548, 12443, 23855, 1664, 630, 514, 3943, 1040, 2473, 4353, 281, 476, 14631, 1700, 3445, 269, 11120, 13678, 850, 693, 519, 24157, 1054, 11726, 4302, 3084, 324, 632, 5333, 630, 653, 269, 1109, 14631, 1700, 3445, 1916, 273, 269, 9745, 918, 337, 7238, 333, 580, 267, 589, 269, 630, 6977, 277, 1040, 834, 294, 745, 526, 345, 6686, 613, 552, 10719, 634, 12929, 3541, 717, 848, 2668, 1323, 2522, 523, 3541, 4284, 1731, 3768, 6314, 773, 630, 514, 4436, 1040, 476, 4200, 630, 1015, 2567, 476, 25628, 1700, 2420, 269, 645, 756, 13892, 281, 6977, 277, 2304, 303, 1862, 11260, 907, 25628, 298, 269, 8222, 281, 1015, 269, 1911, 273, 270, 663, 335, 269, 6977, 277, 1704, 27944, 5400, 269, 11120, 13678, 850, 693, 519, 24157, 1054, 11726, 4302, 3084, 324, 632, 5333, 630, 653, 269, 1109, 25628, 1700, 2420, 1916, 274, 269, 9745, 1849, 9476, 3780, 267, 681, 269, 630, 6977, 278, 1040, 834, 308, 324, 828, 5884, 3203, 3541, 2142, 933, 326, 2426, 267, 7143, 3832, 530, 597, 654, 7564, 337, 1889, 562, 3317, 523, 2668, 1323, 2522, 523, 3541, 4284, 1731, 3768, 6314, 773, 630, 514, 4436, 1040, 476, 12293, 630, 274, 2567, 476, 31874, 1700, 8064, 269, 645, 756, 13892, 281, 6977, 278, 2304, 303, 1862, 12293, 907, 31874, 290, 269, 8222, 281, 1015, 269, 1911, 273, 270, 663, 335, 269, 6977, 278, 1704, 2568, 274, 6349, 269, 11120, 13678, 850, 693, 519, 24157, 1054, 11726, 4302, 3084, 324, 632, 5333, 630, 653, 269, 1109, 31874, 1700, 8064, 1916, 275, 269, 9745, 834, 13420, 566, 540, 3557, 2668, 21444, 689, 519, 3312, 593, 476, 1001, 275, 268, 5400, 268, 2537, 269, 8158, 476, 1001, 271, 268, 5400, 268, 3066, 563, 276, 269, 9745, 5651, 534, 282, 1744, 777, 10098, 630, 1220, 271, 1040, 26386, 540, 7177, 26457, 19392, 630, 275, 628, 1109, 539, 12175, 25067, 269, 9768, 1109, 271, 268, 5325, 272, 268, 28766, 1724, 268, 277, 563, 277, 269, 9745, 31434, 267, 26366, 996, 654, 269, 630, 1001, 271, 1040, 4937, 267, 5214, 267, 543, 6211, 7998, 1109, 281, 606, 7471, 1935, 630, 274, 6113, 1109, 539, 12175, 3627, 25067, 1299, 25860, 269, 533, 269, 1109, 5908, 269, 9768, 1109, 7818, 271, 5325, 30588, 5325, 277, 276, 269, 8158, 476, 3066, 5130, 476, 1001, 280, 563, 278, 269, 9745, 808, 269, 681, 269, 681, 4141, 321, 3089, 630, 4572, 277, 1040, 834, 763, 808, 537, 548, 268, 1320, 1682, 517, 6356, 538, 5794, 2668, 18619, 540, 519, 2817, 9142, 540, 7070, 540, 519, 2136, 2276, 540, 3013, 269, 476, 1321, 630, 272, 2567, 476, 4649, 1700, 6812, 269, 645, 756, 13892, 281, 4572, 277, 303, 2793, 306, 1862, 1321, 1862, 4649, 305, 269, 8222, 281, 1015, 269, 13040, 274, 9706, 19063, 269, 1321, 269, 272, 269, 4649, 269, 6751, 290, 1109, 10482, 275, 4375, 279, 269, 20163, 1109, 13679, 278, 7597, 6795, 563, 279, 269, 9745, 10609, 582, 574, 1695, 267, 590, 16951, 715, 584, 592, 282, 5164, 21355, 267, 590, 1706, 529, 5448, 630, 1001, 272, 268, 6187, 268, 5881, 1040, 834, 8512, 819, 1599, 540, 476, 272, 19985, 476, 273, 19985, 543, 476, 274, 5937, 1395, 30061, 4998, 3154, 281, 589, 2241, 543, 3102, 2689, 2668, 808, 19012, 623, 1263, 1690, 15546, 674, 529, 11986, 1530, 330, 565, 1695, 9093, 1263, 1695, 269, 476, 273, 630, 273, 2567, 476, 1428, 1700, 1240, 269, 818, 311, 643, 281, 8099, 277, 269, 14096, 274, 269, 645, 756, 13892, 281, 1001, 272, 541, 311, 643, 8099, 277, 269, 14096, 274, 301, 269, 0, 14157, 5653, 693, 513, 1808, 1448, 538, 942, 692, 15612, 908, 540, 519, 31302, 6453, 693, 513, 1808, 1448, 538, 942, 692, 24280, 31302, 6453, 692, 4002, 713, 2985, 596, 666, 5173, 519, 31302, 1871, 540, 513, 18980, 18042, 14251, 566, 693, 513, 1808, 1448, 538, 942, 780, 763, 4704, 6453, 666, 581, 9411, 607, 606, 2500, 1871, 610, 607, 513, 8445, 6453, 780, 9743, 656, 10389, 6453, 9498, 692, 18452, 13229, 6453, 30078, 6453, 966, 22039, 21636, 737, 13703, 631, 13703, 717, 13703, 5384, 562, 20376, 18725, 20376, 544, 20376, 27116, 27252, 4025, 476, 271, 476, 272, 476, 273, 476, 274, 476, 275, 476, 277, 476, 279, 476, 1015, 28088, 13229, 6453, 30078, 6453, 16474, 23358, 6453, 692, 13528, 3121, 585, 12719, 519, 31302, 1871, 692, 4415, 519, 948, 540, 519, 16070, 4908, 12596, 2630, 267, 519, 31302, 1871, 540, 6453, 543, 1699, 666, 581, 5462, 1310, 513, 1978, 942, 6695, 6234, 512, 29634, 14668, 476, 271, 4113, 579, 815, 476, 271, 309, 14668, 476, 3445, 4113, 579, 815, 3331, 375, 14668, 476, 5197, 4113, 579, 815, 476, 271, 309, 14668, 476, 17734, 4113, 579, 815, 3331, 375, 14668, 476, 11740, 4113, 579, 815, 476, 271, 309, 692, 763, 17927, 9498, 1590, 581, 1305, 547, 32494, 547, 5173, 891, 12596, 780, 17951, 983, 4908, 6695, 6234, 28911, 284, 630, 273, 5788, 12631, 5788, 535, 264, 9681, 11377, 6234, 579, 284, 383, 375, 5788, 5609, 263, 22886, 5788, 512, 14638, 5231, 6695, 6234, 815, 383, 375, 5788, 5609, 263, 273, 12631, 535, 5788, 512, 264, 9681, 11377, 6234, 1775, 284, 383, 362, 5788, 5609, 263, 22886, 5788, 512, 264, 9681, 26765, 754, 692, 6695, 6234, 3331, 375, 2330, 30078, 6453, 6695, 6234, 579, 2330, 2382, 656, 10389, 6453, 6695, 6234, 535, 2330, 22039, 6695, 6234, 512, 2330, 5384, 6695, 6234, 28911, 2330, 4911, 983, 4908, 6695, 6234, 3331, 362, 2330, 30078, 1699, 6695, 6234, 1775, 2330, 2382, 656, 10389, 1699, 692, 604, 596, 1616, 547, 946, 5232, 267, 596, 1590, 6460, 519, 9936, 547, 4110, 630, 343, 6440, 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 ]

[ 3487, 2873, 454, 268, 4139, 12243, 3763, 338, 23397, 5027, 30594, 5422, 454, 268, 5082, 1258, 7304, 747, 5450, 1023, 5269, 595, 10984, 923, 570, 965, 547, 15434, 1188, 454, 268, 23203, 762, 27620, 24439, 6490, 1559, 543, 25024, 5455, 2060, 519, 21253, 540, 513, 674, 5424, 454, 268, 24613, 681, 4084, 281, 12207, 15233, 27951, 23027, 23317, 593, 513, 15089, 6248, 17361, 454, 268, 6660, 9693, 281, 22387, 1155, 3487, 1834, 24665, 1807, 3718, 454, 268, 8111, 331, 14819, 9453, 513, 8111, 30776, 281, 4284, 27913, 30205, 5843, 2675, 8554, 15332, 7799, 1080, 454, 268, 15089, 641, 14835, 28404, 16393, 4354, 321, 9435, 5450, 770, 12118, 547, 25016, 338, 676, 28080, 7566, 513, 19871, 454, 268, 3203, 2060, 5027, 4534, 32693, 958, 12861, 476, 1626, 28985, 27413, 676, 6314, 529, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 5020, 7070, 1315, 4437, 17190, 1315, 24103, 758, 27282, 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, 769, 519, 14297, 2749, 540, 15306, 6807, 267, 1079, 2025, 2828, 267, 5981, 543, 16092, 267, 2893, 1524, 693, 741, 5172, 6995, 6300, 547, 6952, 909, 1310, 1296, 6306, 269, 5637, 941, 1631, 3811, 3301, 9367, 2324, 585, 15180, 10509, 3549, 780, 20694, 3576, 513, 521, 760, 689, 1010, 28448, 1786, 14954, 4234, 974, 1354, 6998, 267, 834, 3383, 267, 594, 4312, 1044, 1210, 713, 1007, 12363, 813, 25015, 910, 621, 814, 9735, 8039, 256, 654, 13860, 2285, 621, 513, 8929, 8119, 1261, 15504, 856, 1010, 6049, 543, 4951, 16092, 519, 30437, 6085, 281, 834, 17764, 1250, 269, 634, 1655, 12363, 813, 269, 3143, 17756, 3010, 297, 600, 773, 6659, 606, 32071, 992, 543, 19942, 1394, 519, 6049, 269, 834, 19950, 532, 2437, 1352, 1767, 24617, 269, 834, 3719, 1577, 803, 2307, 596, 1945, 1101, 1862, 1684, 596, 917, 952, 621, 7028, 3444, 13807, 520, 845, 10342, 12482, 257, 295, 7825, 332, 267, 594, 1589, 865, 29389, 5981, 11688, 18469, 607, 646, 1085, 9776, 998, 519, 813, 6609, 593, 1010, 5496, 269, 834, 31800, 1695, 267, 1934, 621, 3081, 1412, 4818, 26702, 2066, 2101, 5665, 1949, 9538, 4208, 798, 596, 2307, 12482, 4415, 513, 521, 569, 12837, 267, 16092, 14452, 267, 834, 11039, 267, 938, 2754, 568, 3384, 513, 2147, 3498, 855, 10010, 609, 17356, 2152, 1063, 1114, 5867, 269, 1403, 707, 9241, 4362, 17576, 20362, 873, 1134, 267, 5310, 972, 616, 930, 3407, 4030, 649, 666, 1451, 689, 922, 1374, 3010, 7021, 519, 1985, 5662, 267, 789, 798, 557, 2620, 883, 7421, 519, 5294, 543, 931, 540, 519, 5227, 12363, 813, 1247, 11981, 741, 30756, 4315, 269, 1358, 5941, 1585, 2934, 971, 607, 2688, 714, 1464, 267, 3432, 267, 3354, 267, 3593, 8818, 267, 543, 5610, 7207, 269, 8528, 7628, 741, 6643, 267, 16092, 3838, 1200, 4145, 827, 1761, 16426, 1813, 547, 13385, 4152, 593, 14758, 8153, 5867, 269, 11531, 267, 5981, 4547, 909, 7834, 2152, 2404, 609, 1239, 7829, 2853, 5018, 538, 1776, 2228, 2689, 780, 5475, 20604, 1312, 2318, 630, 1080, 15774, 5610, 609, 2442, 2533, 264, 543, 2942, 3344, 630, 1492, 3668, 540, 3573, 12319, 1070, 789, 6603, 513, 13618, 269, 6736, 5634, 19363, 267, 713, 12363, 813, 11542, 2212, 543, 17525, 1657, 1866, 538, 2474, 540, 2949, 2773, 543, 6617, 780, 7661, 267, 5981, 6743, 2047, 693, 16092, 543, 1767, 900, 874, 5597, 267, 834, 2704, 2431, 267, 6236, 3388, 649, 4312, 14437, 827, 267, 1131, 594, 1869, 4363, 713, 813, 286, 4347, 17802, 15323, 4504, 29098, 676, 1018, 789, 4121, 267, 16092, 4956, 547, 2263, 519, 7872, 540, 6220, 930, 2609, 540, 519, 26916, 813, 883, 1200, 2319, 781, 1788, 1107, 4180, 9488, 3760, 17356, 4255, 543, 5355, 12319, 2298, 269, 901, 3375, 3366, 547, 1200, 2319, 6721, 513, 811, 7347, 1587, 602, 6591, 6284, 1369, 519, 2872, 780, 4002, 519, 824, 1688, 267, 5981, 5189, 519, 813, 547, 1010, 9164, 1932, 267, 945, 7620, 25323, 621, 1317, 540, 4652, 15903, 12886, 2509, 28106, 3435, 269, 2991, 26164, 4824, 7607, 543, 4398, 267, 2705, 267, 1256, 519, 25411, 684, 3832, 560, 16002, 923, 1185, 1100, 3903, 855, 547, 16153, 14710, 30780, 780, 7437, 1930, 2792, 267, 2565, 3206, 267, 543, 8994, 2463, 267, 891, 1079, 2828, 5828, 513, 2241, 16252, 883, 606, 4316, 585, 2208, 543, 1565, 269, 1635, 8508, 16268, 9880, 543, 3695, 4244, 5380, 267, 3025, 3238, 28322, 3648, 1107, 17923, 519, 2956, 540, 7279, 267, 5698, 267, 543, 6024, 6454, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 11693, 713, 2689, 281, 834, 17764, 1250, 269, 634, 1655, 12363, 813, 269, 3143, 17756, 1701, 14348, 596, 4363, 713, 813, 547, 513, 3659, 286, 3502, 693, 782, 267, 3143, 267, 9320, 267, 8786, 267, 610, 4347, 17802, 888, 12585, 912, 9377, 17802, 14325, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 4197, 16677, 698, 16479, 4260, 11594, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 2263, 519, 1158, 540, 24099, 13746, 256, 1411, 1522, 4898, 1018, 891, 616, 910, 1134, 267, 789, 2811, 899, 17476, 610, 14786, 602, 1445, 4481, 593, 3450, 543, 1565, 269, 11334, 267, 20485, 267, 3173, 267, 543, 1256, 1053, 2328, 4930, 827, 741, 2833, 543, 8906, 538, 2069, 269, 1635, 2542, 891, 13746, 267, 1004, 666, 1451, 1007, 2081, 547, 4001, 543, 948, 1866, 1451, 269, 1924, 1577, 781, 4685, 883, 713, 4241, 1888, 1927, 2439, 5331, 1373, 2111, 547, 32708, 3330, 513, 4116, 781, 2634, 543, 1265, 856, 875, 789, 2097, 909, 609, 3860, 3992, 4566, 610, 1946, 789, 3442, 1978, 2409, 936, 1866, 269, 2334, 781, 4010, 1018, 596, 1205, 950, 596, 1224, 24099, 13746, 256, 1452, 12326, 2671, 2984, 267, 2093, 267, 543, 4030, 689, 7855, 782, 1472, 519, 1158, 780, 4131, 781, 1413, 693, 930, 1806, 547, 1118, 1919, 20501, 1384, 272, 269, 2878, 20428, 13870, 543, 11572, 3203, 6657, 4995, 901, 2376, 676, 631, 23581, 9040, 5362, 12909, 827, 875, 5159, 1711, 6209, 960, 1247, 849, 6236, 1514, 2152, 269, 898, 2982, 721, 602, 1565, 3884, 1405, 1175, 827, 8357, 1944, 5013, 855, 849, 1620, 938, 5107, 538, 2486, 543, 1210, 938, 1983, 547, 1118, 621, 1732, 563, 273, 269, 2878, 763, 1262, 1862, 19315, 7227, 256, 1284, 1767, 649, 9327, 1405, 946, 1022, 1808, 4760, 4408, 1934, 2094, 596, 4465, 1405, 723, 1569, 547, 873, 2943, 269, 1809, 3972, 721, 267, 972, 616, 1082, 4277, 3283, 856, 972, 2439, 3086, 267, 1946, 1058, 2576, 707, 2085, 1416, 827, 24099, 13746, 286, 6153, 2243, 256, 2755, 1034, 540, 519, 4930, 949, 581, 2854, 676, 4079, 585, 824, 4079, 267, 972, 781, 1869, 7899, 585, 596, 547, 2744, 689, 873, 269, 3371, 616, 1614, 4128, 1946, 1384, 272, 269, 2878, 20524, 1715, 18467, 540, 4804, 4995, 3807, 899, 875, 1114, 3381, 3756, 2154, 1585, 2994, 267, 1114, 3610, 723, 2189, 4485, 547, 3450, 269, 7335, 827, 891, 3309, 2553, 666, 8300, 596, 547, 2119, 1007, 1353, 6208, 610, 2307, 707, 3610, 585, 4244, 2081, 540, 1565, 602, 9290, 596, 1655, 563, 273, 269, 2878, 18704, 2659, 14313, 4995, 1403, 596, 2479, 1185, 513, 13085, 2856, 585, 513, 1153, 1788, 610, 1336, 513, 1187, 1259, 547, 2491, 513, 2352, 1523, 267, 4952, 4687, 621, 609, 5215, 540, 824, 1053, 543, 3610, 256, 5675, 585, 513, 24099, 4760, 1223, 2285, 596, 602, 4316, 269, 9578, 267, 7487, 707, 2012, 538, 1820, 1131, 1745, 7168, 15813, 1932, 2336, 274, 269, 2878, 308, 2955, 1215, 4065, 3718, 4995, 17451, 9289, 1946, 930, 5049, 616, 19309, 1247, 1866, 1832, 596, 7722, 286, 2107, 1946, 930, 4255, 3100, 15490, 286, 10289, 24099, 13746, 666, 1683, 4267, 547, 2055, 899, 891, 543, 7668, 596, 547, 12167, 585, 2242, 538, 707, 1378, 4928, 780, 1103, 3932, 267, 24099, 13746, 2709, 3407, 4030, 883, 519, 1158, 540, 2069, 269, 4014, 789, 1522, 3100, 1950, 693, 1101, 16145, 267, 1810, 1405, 21183, 2476, 689, 3695, 873, 269, 2060, 942, 267, 596, 3513, 1020, 513, 4514, 7071, 585, 519, 1148, 540, 3450, 543, 1565, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 9560, 2762, 585, 513, 1071, 268, 10869, 1148, 1153, 454, 1607, 2985, 2882, 12190, 13132, 543, 2542, 8638, 593, 1071, 268, 10869, 1148, 2069, 267, 4244, 1148, 3506, 267, 9097, 27380, 543, 1582, 268, 6716, 5314, 269, 1358, 13173, 519, 1382, 1788, 589, 1071, 268, 10869, 1148, 1153, 286, 543, 519, 15682, 540, 4244, 1148, 3506, 269, 1280, 513, 15217, 16432, 21038, 593, 1148, 2069, 543, 9097, 27380, 1294, 519, 7101, 673, 16677, 698, 9609, 3194, 6828, 563, 2690, 3606, 12190, 13132, 593, 4244, 1148, 2069, 1294, 3427, 540, 519, 12456, 2740, 30778, 2228, 7046, 7732, 267, 14640, 684, 1751, 3767, 30778, 10319, 14640, 27376, 24153, 267, 513, 1857, 2542, 1592, 593, 9097, 2069, 543, 29450, 626, 27380, 630, 3602, 596, 666, 1039, 707, 1378, 10372, 1070, 543, 4634, 532, 4147, 30778, 11008, 2213, 616, 269, 3534, 4199, 4687, 543, 1433, 5658, 532, 8756, 563, 10870, 268, 10869, 1148, 2069, 454, 289, 629, 5362, 267, 631, 23581, 630, 1220, 275, 1040, 13595, 2504, 543, 2797, 1148, 2259, 269, 2991, 718, 281, 589, 4750, 540, 3203, 267, 12745, 543, 2037, 11431, 17136, 476, 280, 630, 306, 7428, 270, 11764, 1067, 476, 1220, 275, 1070, 6032, 269, 476, 6200, 268, 11820, 563, 289, 320, 13704, 267, 7812, 543, 2677, 6154, 539, 2006, 32308, 269, 630, 1001, 272, 1040, 634, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 539, 698, 16479, 4260, 11594, 257, 607, 851, 540, 834, 3633, 24102, 1315, 13129, 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, 3848, 476, 277, 281, 11202, 4094, 6513, 692, 8702, 547, 3848, 476, 277, 256, 1411, 4312, 1500, 621, 998, 2947, 3078, 11271, 827, 13596, 543, 771, 26529, 269, 3767, 621, 781, 942, 547, 1451, 875, 649, 666, 1852, 891, 6263, 17900, 547, 1832, 6000, 543, 938, 2950, 2635, 269, 901, 3184, 6212, 593, 1857, 1072, 4702, 3800, 1107, 2081, 8030, 948, 721, 1628, 2922, 4872, 267, 3506, 267, 543, 5321, 676, 7303, 519, 3262, 540, 3676, 3361, 676, 13596, 269, 1924, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 1857, 1072, 4702, 2439, 5978, 1101, 3247, 538, 1620, 1857, 1072, 4702, 568, 1216, 2126, 269, 9894, 596, 917, 602, 1169, 1554, 267, 1004, 4235, 811, 982, 835, 5479, 14296, 540, 2973, 1216, 286, 898, 949, 3100, 8723, 267, 855, 4180, 1569, 547, 2973, 6704, 1216, 3217, 2182, 960, 689, 1082, 6131, 4648, 267, 1519, 8030, 269, 1358, 1374, 1949, 547, 2445, 267, 1521, 267, 4558, 267, 543, 15814, 1216, 9108, 269, 2913, 781, 1413, 693, 1142, 1900, 5702, 780, 5575, 267, 1216, 4991, 6394, 689, 12647, 267, 8933, 267, 610, 11895, 2959, 1572, 19401, 269, 3973, 267, 621, 4422, 998, 1896, 3157, 1354, 8757, 938, 31316, 1115, 269, 3689, 267, 1804, 11935, 971, 607, 3762, 543, 16853, 1205, 6569, 1210, 13819, 543, 23928, 13688, 269, 8921, 2501, 19288 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4600, 798, 741, 6009, 666, 948, 6800, 22120, 1732, 2443, 543, 2149, 519, 9657, 4600, 596, 7048, 593, 563, 294, 1037, 594, 11803, 630, 294, 548, 577, 5448, 646, 1457, 25445, 264, 568, 1634, 676, 1082, 4408, 1519, 11511, 9429, 24898, 267, 11511, 9429, 808, 10154, 267, 2361, 2545, 332, 267, 7314, 20356, 267, 513, 548, 3620, 334, 1993, 267, 543, 10759, 18290, 630, 20357, 621, 19082, 606, 10759, 513, 1554, 1040, 901, 18290, 568, 1360, 25836, 543, 568, 1336, 538, 10651, 267, 1876, 985, 267, 2427, 19789, 802, 543, 5397, 3118, 18015, 267, 607, 1134, 607, 2059, 2679, 13210, 269, 10251, 267, 713, 1212, 9429, 18290, 568, 513, 21064, 543, 865, 3788, 1032, 1310, 1032, 543, 2356, 5170, 547, 581, 3039, 1282, 7646, 518, 12736, 1562, 563, 5141, 1054, 23040, 9469, 723, 811, 530, 31441, 1379, 982, 741, 1957, 13413, 267, 2569, 3653, 267, 1745, 8799, 1996, 707, 2960, 267, 543, 1413, 7168, 269, 1358, 2461, 1312, 16560, 543, 6198, 563, 3725, 20608, 12308, 23040, 9469, 1832, 4054, 689, 1373, 2759, 1524, 607, 1034, 12478, 946, 20424, 3529, 17870, 547, 3132, 1957, 23040, 9469, 269, 1849, 1054, 23040, 9469, 849, 948, 1832, 938, 13113, 25087, 2230, 513, 2370, 7962, 1512, 676, 4227, 3653, 2443, 1256, 811, 865, 952, 596, 1118, 873, 689, 909, 7094, 539, 5958, 563, 14187, 7186, 17667, 4521, 333, 5516, 568, 28165, 547, 581, 6444, 676, 661, 13612, 607, 835, 540, 476, 4200, 1390, 29036, 11882, 28737, 585, 1283, 13007, 269, 769, 922, 476, 2537, 6113, 1032, 267, 3345, 1723, 770, 476, 4200, 568, 606, 5993, 6284, 1982, 602, 20502, 11108, 28737, 538, 513, 476, 2420, 28029, 344, 3148, 538, 29036, 11882, 269, 901, 568, 519, 1101, 1032, 602, 6153, 7186, 729, 9930, 3990, 585, 519, 8366, 563, 5415, 2950, 1631, 2709, 11003, 4584, 1575, 2533, 2059, 609, 17885, 543, 9657, 4584, 1575, 269, 1809, 1034, 4892, 1810, 1406, 723, 1569, 547, 513, 24600, 3028, 543, 28048, 22254, 723, 1732, 3096, 585, 741, 1426, 543, 13452, 3653, 269, 1280, 891, 11570, 267, 513, 3099, 540, 11003, 25510, 616, 2139, 547, 948, 596, 11003, 741, 1378, 1394, 29288, 563, 296, 729, 12286, 607, 513, 8516, 5856, 593, 562, 291, 1662, 781, 5816, 454, 5978, 3653, 543, 1018, 547, 798, 609, 621, 568, 513, 2462, 851, 540, 938, 1158, 779, 2916, 1689, 3435, 269, 19382, 936, 267, 16150, 267, 543, 11552, 22760, 1426, 568, 851, 540, 713, 1966, 269, 1403, 1426, 3653, 729, 513, 2197, 267, 621, 1131, 581, 519, 3791, 4102, 16073, 540, 8511, 575, 13293, 538, 519, 1158, 267, 3297, 3624, 543, 519, 2136, 2276, 269, 19732, 1176, 267, 1426, 3653, 568, 1945, 649, 666, 2232, 693, 938, 1378, 5321, 543, 1810, 1406, 991, 547, 7048, 1866, 547, 798, 519, 960, 585, 721, 563, 2467, 779, 513, 2603, 540, 960, 2469, 593, 538, 2362, 2069, 4478, 6940, 269, 1403, 596, 2461, 513, 2875, 945, 779, 5461, 538, 2324, 538, 6940, 5829, 4610, 267, 513, 3395, 1297, 540, 3039, 9945, 2709, 6030, 543, 4110, 3292, 547, 5965, 596, 585, 707, 2104, 4876, 269, 0, 5938, 839, 1831, 11174, 32592, 757, 1813, 547, 3668, 540, 18083, 269, 1879, 789, 1995, 4057, 2804, 2175, 267, 789, 1376, 2502, 538, 519, 4636, 2238, 269, 1358, 949, 1376, 9513, 5061, 610, 21102, 1919, 547, 2087, 741, 2804, 2175, 563, 22117, 532, 19928, 5024, 11790, 1677, 19565, 5548, 22055, 1890, 454, 268, 18648, 3427, 29934, 766, 269, 18648, 1153, 20343, 568, 835, 540, 519, 1283, 2188, 7700, 547, 32592, 1890, 563, 268, 18648, 12409, 11621, 563, 268, 20222, 769, 634, 5851, 563, 268, 20222, 769, 4256, 4317, 19449, 3380, 563, 268, 25398, 16242, 563, 268, 17502, 1470, 11296, 11790, 563, 268, 28548, 18816, 563, 268, 19768, 2986, 26874, 30334, 563, 289, 525, 728, 1657, 267, 1018, 568, 519, 3017, 1063, 513, 11174, 32592, 550, 543, 513, 11174, 1055, 2658, 286, 589, 19565, 5548, 22055, 550, 568, 513, 1126, 936, 476, 278, 267, 855, 896, 476, 1240, 1296, 540, 2085, 630, 324, 8997, 476, 1015, 270, 272, 270, 866, 1070, 945, 862, 1080, 606, 957, 602, 1131, 581, 513, 6760, 952, 621, 1185, 1044, 8149, 676, 606, 2937, 269, 19565, 25476, 267, 945, 616, 476, 1724, 267, 476, 1691, 267, 543, 476, 1428, 1296, 540, 2085, 267, 616, 711, 2808, 19565, 5548, 22055, 757, 269, 19565, 5548, 22055, 757, 798, 711, 723, 7803, 5638, 563, 1103, 713, 6073, 267, 875, 1281, 1153, 1860, 11174, 32592, 1890, 888, 15900, 10728, 2623, 949, 1291, 547, 7965, 538, 519, 4928, 269, 6270, 7965, 267, 538, 2490, 267, 949, 1267, 538, 513, 1126, 779, 8391, 30369, 20241, 689, 3610, 610, 9905, 269, 1452, 267, 538, 2490, 267, 1522, 1267, 538, 32592, 1890, 269, 11524, 723, 3254, 2810, 3928, 540, 32592, 1890, 1739, 1153, 6749, 719, 563, 1692, 1281, 9263, 2604, 1860, 11174, 32592, 1890, 888, 8248, 518, 2604, 5012, 4724, 11174, 32592, 1890, 269, 3212, 619, 1291, 2043, 547, 32696, 538, 7803, 2238, 269, 20390, 30105, 2356, 6108, 811, 942, 609, 9905, 607, 5635, 547, 4079, 269, 634, 2604, 689, 9263, 6140, 5540, 519, 15730, 1377, 563, 1432, 616, 519, 2185, 1292, 2010, 540, 11174, 32592, 1890, 888, 1692, 731, 2142, 14982, 630, 3422, 277, 281, 476, 26297, 268, 4343, 264, 814, 5219, 547, 2185, 2010, 540, 32592, 4293, 281, 630, 320, 264, 1367, 32592, 1890, 267, 630, 321, 264, 1895, 23418, 9285, 32592, 1890, 267, 630, 322, 264, 22555, 32592, 1890, 267, 543, 630, 323, 264, 32638, 32592, 1890, 563, 1432, 616, 1806, 540, 11174, 32592, 1890, 888, 763, 1034, 1455, 1806, 540, 11174, 32592, 1890, 616, 2085, 5829, 10963, 971, 607, 616, 9363, 856, 2250, 1225, 325, 1168, 543, 1854, 3599, 630, 11666, 4240, 5821, 547, 7390, 1153, 1040, 19565, 10963, 666, 2039, 689, 4567, 1055, 5151, 630, 7945, 607, 896, 720, 7296, 1070, 547, 3959, 543, 10795, 10963, 563, 1432, 568, 513, 11174, 32592, 550, 3989, 676, 1876, 888, 15152, 476, 1240, 2475, 5425, 19926, 476, 2004, 274, 272, 610, 519, 8549, 19565, 5548, 22055, 1890, 2920, 267, 2048, 9857, 8736, 32592, 1890, 685, 568, 519, 18670, 540, 513, 1876, 540, 519, 2136, 2276, 267, 8149, 676, 513, 1268, 1991, 547, 1010, 22733, 14512, 799, 1131, 723, 1044, 513, 6760, 952, 8149, 676, 606, 2937, 269, 19565, 32592, 1890, 568, 3622, 2219, 540, 607, 3765, 2041, 8326, 676, 1453, 563, 1432, 616, 519, 4162, 540, 11174, 32592, 1890, 888, 288, 1804, 1297, 540, 1367, 2188, 543, 4162, 814, 1044, 2404, 609, 519, 1646, 540, 11174, 32592, 1890, 269, 1452, 1367, 2188, 1331, 2085, 267, 4008, 267, 8374, 1282, 6379, 543, 6765, 267, 791, 6160, 2032, 267, 26490, 4369, 267, 543, 6219, 946, 563, 1432, 616, 930, 2360, 540, 11174, 32592, 1890, 888, 22546, 338, 540, 19565, 5548, 22055, 1890, 6481, 3790, 6607, 13702, 564, 1813, 547, 10795, 10963, 543, 3075, 6057, 269, 16296, 17403, 543, 642, 663, 16117, 1267, 538, 1164, 3790, 538, 519, 1857, 543, 4357, 5823, 563, 1432, 616, 930, 3435, 547, 11174, 32592, 1890, 888, 763, 1034, 2500, 3292, 585, 11174, 32592, 1890, 6604, 2671, 519, 1739, 1883, 3334, 281, 4065, 269, 28046, 269, 7991, 12833, 9876, 618, 269, 623, 1066, 7614, 543, 5606, 3599, 5851, 6250, 2787, 676, 12502, 525, 269, 9977, 16644, 843, 19983, 9751, 5358, 269, 31421, 10644, 5358, 269, 10644, 15789, 1369, 519, 19565, 10456, 3590, 563, 6701, 3237, 547, 581, 30199, 585, 11174, 32592, 1890, 888, 29261, 3657, 547, 2349, 877, 585, 19565, 5548, 22055, 1890, 269, 3057, 3072, 610, 711, 267, 519, 1126, 3587, 519, 3237, 685, 5539, 16155, 267, 14156, 267, 25432, 267, 543, 9308, 269, 14268, 616, 19142, 606, 7938, 9287, 4579, 547, 2149, 543, 1683, 585, 741, 1126, 267, 2394, 519, 1126, 568, 540, 2085, 267, 547, 798, 865, 1010, 610, 9887, 563, 8005, 568, 11174, 32592, 550, 888, 5629, 713, 4523, 543, 513, 1126, 13788, 519, 7803, 5126, 1062, 267, 789, 949, 581, 16363, 513, 968, 9857, 8736, 32592, 550, 1848, 19565, 32592, 757, 616, 1295, 832, 267, 2356, 3989, 607, 1373, 1063, 519, 6502, 540, 476, 1015, 543, 476, 1240, 267, 945, 723, 8149, 930, 957, 602, 3423, 919, 519, 1876, 563, 3674, 1153, 5821, 3743, 585, 32592, 1890, 888, 17780, 593, 519, 1382, 676, 4966, 267, 621, 666, 581, 24298, 602, 1153, 5821, 568, 3743, 585, 32592, 1890, 982, 6382, 269, 11531, 267, 1053, 945, 723, 513, 20247, 10884, 585, 1153, 610, 723, 8959, 9344, 616, 693, 1981, 540, 8989, 32592, 550, 6411, 563, 1692, 666, 1153, 32592, 1890, 581, 15286, 888, 1103, 2489, 267, 519, 8433, 540, 19565, 10456, 543, 5548, 22055, 1890, 10644, 15565, 602, 519, 1739, 2010, 540, 1153, 543, 2146, 6604, 3292, 581, 6964, 281, 15858, 543, 2623, 2359, 3292, 269, 11638, 16327, 9426, 4928, 2861, 3292, 269, 4317, 16169, 13319, 19593, 592, 4548, 563, 1692, 666, 32592, 1890, 581, 15286, 888, 4407, 972, 616, 1100, 9059, 3435, 585, 7303, 32592, 1890, 267, 1620, 543, 2679, 909, 8825, 2188, 568, 513, 1434, 1747, 547, 1376, 269, 13363, 633, 2188, 616, 7592, 610, 2833, 602, 948, 25559, 1981, 2188, 269, 15272, 6043, 269, 4317, 4448, 1145, 269, 22493, 1489, 269, 15465, 543, 1514, 3929, 16169, 563, 9989, 11174, 32592, 1890, 2569, 3872, 26556, 888, 27832, 942, 6170, 538, 1153, 610, 4974, 786, 267, 593, 3328, 267, 1291, 547, 2539, 4081, 9740, 543, 606, 2038, 14827, 689, 1153, 269, 589, 2417, 7271, 998, 799, 11174, 32592, 1890, 949, 1291, 547, 2038, 1153, 6028, 568, 998, 9263, 2360, 563, 1432, 1909, 1281, 519, 1920, 1404, 538, 11174, 32592, 1890, 888, 293, 7056, 625, 1404, 513, 4105, 1909, 538, 519, 1646, 540, 1453, 543, 6107, 269, 5525, 540, 11174, 32592, 1890, 723, 3254, 602, 519, 1920, 1604, 666, 1459, 607, 2901, 513, 1981, 610, 8825, 3815, 269, 589, 1981, 3815, 568, 513, 8984, 602, 267, 950, 1459, 267, 8992, 519, 10073, 540, 5739, 7180, 630, 324, 3052, 1421, 32592, 1890, 1916, 4692, 476, 1240, 1032, 31545, 979, 547, 21569, 888, 1432, 2085, 666, 594, 979, 547, 7890, 286, 1411, 786, 711, 581, 2366, 547, 606, 2937, 7890, 2394, 596, 616, 9907, 476, 1240, 610, 936, 269, 1717, 267, 513, 1762, 1268, 666, 4019, 547, 979, 547, 606, 2937, 7890, 693, 476, 1626, 952, 789, 616, 7674, 513, 4845, 540, 30969, 269, 0, 19328, 568, 711, 606, 27099, 269, 1924, 267, 621, 3085, 1406, 723, 1022, 2407, 1106, 269, 2560, 634, 2012, 3127, 568, 6508, 689, 519, 2262, 1473, 639, 799, 3294, 6508, 689, 519, 2025, 14655, 2262, 9699, 267, 689, 16130, 590, 785, 16852, 269, 1473, 639, 568, 849, 519, 2012, 540, 513, 5757, 563, 1432, 568, 519, 1483, 2495, 540, 3127, 888, 19328, 269, 3245, 519, 1473, 639, 610, 27734, 267, 513, 14655, 13313, 540, 519, 16130, 590, 785, 16852, 267, 968, 24030, 5757, 1848, 1635, 519, 16380, 713, 5757, 729, 1634, 607, 519, 27734, 267, 799, 609, 519, 14655, 21879, 588, 534, 5795, 519, 2012, 968, 295, 8114, 16330, 892, 547, 519, 2898, 2197, 563, 1432, 568, 2407, 1106, 2012, 888, 785, 1339, 1268, 269, 5769, 9732, 23792, 18780, 269, 15580, 621, 281, 715, 28719, 269, 2817, 5948, 585, 5564, 12734, 4065, 563, 1432, 568, 2407, 1106, 3595, 888, 298, 639, 636, 12943, 476, 276, 3967, 269, 634, 9509, 1106, 540, 674, 296, 3918, 568, 16010, 15928, 1656, 7464, 24529, 267, 610, 674, 296, 3918, 6763, 585, 16010, 15928, 1656, 7464, 24529, 267, 610, 519, 2407, 2012, 540, 2016, 28008, 568, 16010, 15928, 1656, 7464, 24529, 563, 1432, 568, 2407, 1106, 540, 918, 1170, 888, 298, 3041, 306, 269, 18227, 898, 10374, 543, 11822, 269, 11619, 1645, 269, 918, 3041, 306, 269, 5901, 898, 11822, 1299, 21690, 563, 1432, 568, 9509, 845, 540, 2696, 888, 294, 7495, 815, 19087, 267, 9866, 3569, 267, 5940, 2315, 898, 568, 513, 4783, 540, 2470, 563, 1432, 568, 519, 476, 276, 2012, 540, 3127, 888, 19328, 568, 1634, 676, 1082, 4408, 1107, 808, 3711, 644, 933, 788, 320, 267, 1325, 6953, 785, 267, 9699, 16330, 267, 14210, 329, 30884, 267, 589, 787, 822, 21840, 267, 543, 32038, 520, 563, 1432, 729, 3127, 538, 476, 14983, 273, 888, 1103, 476, 14983, 273, 972, 729, 1100, 2197, 1634, 607, 3127, 269, 5502, 602, 2197, 729, 1572, 9699, 16330, 563, 8005, 12199, 3127, 538, 476, 272, 560, 2540, 888, 347, 6924, 1475, 15307, 28344, 618, 540, 519, 918, 2313, 534, 10504, 676, 27173, 329, 3121, 918, 611, 874, 2478, 8198, 347, 4281 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1871, 585, 16025, 568, 21407, 676, 8013, 536, 27570, 676, 16025, 18046, 538, 519, 2199, 1858, 269, 634, 23138, 781, 6852, 3483, 568, 547, 2057, 6735, 269, 634, 1297, 540, 536, 1342, 619, 543, 741, 1719, 538, 513, 9042, 666, 581, 6766, 676, 10229, 267, 799, 8309, 547, 6735, 543, 9797, 5540, 519, 3902, 6976, 563, 2252, 596, 21907, 609, 513, 2582, 3617, 23138, 267, 596, 666, 1732, 6023, 3871, 899, 4057, 6990, 267, 8966, 16276, 2175, 267, 543, 7463, 2472, 269, 5620, 513, 1544, 585, 519, 2104, 269, 8092, 14935, 1058, 2253, 4058, 585, 519, 2104, 1134, 538, 4434, 540, 519, 7556, 563, 763, 2702, 547, 1349, 5027, 568, 2629, 547, 519, 1646, 540, 519, 2361, 269, 898, 568, 519, 4358, 1448, 585, 1082, 3156, 269, 634, 2450, 267, 3337, 543, 1599, 540, 519, 5027, 616, 5462, 676, 519, 1259, 621, 568, 19345, 543, 12015, 563, 763, 2165, 29421, 568, 1031, 547, 4766, 1585, 13080, 540, 3574, 1031, 607, 4070, 2326, 269, 634, 29421, 568, 2759, 689, 519, 959, 16218, 540, 4054, 543, 568, 6353, 676, 2348, 14328, 610, 4009, 3444, 6810, 267, 607, 10353, 547, 18635, 610, 7796, 902, 267, 799, 723, 5180, 3444, 6810, 269, 26629, 806, 540, 29421, 602, 616, 17774, 3166, 543, 1287, 3684, 13402, 547, 3132, 513, 1808, 3444, 3296, 531, 3337, 616, 9286, 607, 4806, 29421, 563, 763, 1806, 540, 4806, 29421, 616, 16560, 27724, 267, 11469, 7146, 3766, 549, 913, 32466, 267, 543, 695, 328, 680, 777, 521, 4575, 269, 634, 5001, 2872, 540, 4393, 3574, 2472, 568, 513, 5479, 13362, 2872, 269, 898, 849, 7472, 4070, 29421, 267, 533, 16072, 267, 6775, 4580, 267, 1957, 267, 21312, 267, 2881, 335, 20634, 267, 887, 7562, 267, 20955, 267, 543, 513, 2647, 3099, 540, 4853, 6464, 563, 3725, 11734, 540, 19077, 1756, 689, 20957, 454, 14737, 1968, 20957, 12074, 616, 811, 3407, 982, 6428, 541, 1490, 1149, 1317, 789, 616, 811, 2352, 547, 1569, 269, 634, 1184, 540, 5599, 585, 16864, 666, 2196, 7466, 519, 1942, 540, 1490, 710, 6051, 267, 799, 814, 8329, 547, 922, 4130, 2344, 2671, 269, 13689, 593, 519, 1808, 7777, 16005, 267, 519, 1184, 585, 23232, 16864, 689, 20957, 666, 4268, 269, 0, 5194, 3398, 542, 568, 602, 540, 519, 1004, 945, 5030, 538, 519, 1482, 942, 267, 1247, 26290, 523, 595, 1125, 330, 23083, 513, 8772, 14583, 267, 8204, 513, 1883, 4090, 538, 1686, 476, 272, 563, 763, 1283, 4090, 585, 519, 5053, 1148, 568, 2808, 547, 581, 1282, 519, 476, 1626, 555, 543, 476, 1704, 555, 2540, 267, 7222, 547, 519, 11193, 543, 519, 25724, 267, 6606, 269, 634, 5053, 13642, 6520, 568, 519, 8050, 540, 930, 1390, 14789, 540, 18495, 269, 4256, 4001, 721, 827, 741, 1378, 4641, 267, 827, 741, 1034, 15982, 4555, 267, 1818, 721, 519, 1390, 8956, 540, 4687, 741, 5075, 540, 519, 1158, 563, 763, 7499, 1153, 540, 1530, 341, 8759, 729, 519, 1034, 1271, 538, 8050, 1282, 519, 1101, 3368, 540, 519, 476, 1704, 555, 2540, 267, 13856, 676, 519, 25724, 6891, 267, 865, 1134, 6719, 676, 20653, 5451, 345, 4302, 345, 267, 519, 1034, 1271, 5053, 18048, 540, 519, 25724, 20527, 17763, 4302, 269, 717, 30377, 267, 645, 1075, 675, 26535, 16210, 267, 22478, 3120, 8585, 22941, 324, 28872, 269, 634, 5053, 2486, 540, 519, 476, 1626, 555, 2540, 267, 26195, 1221, 20653, 5451, 345, 4302, 345, 585, 1010, 14547, 2990, 267, 799, 4547, 1864, 1082, 1918, 657, 885, 563, 1103, 1010, 10367, 267, 1034, 540, 873, 23609, 267, 20653, 5451, 345, 4302, 345, 4951, 519, 4641, 540, 519, 5053, 2486, 267, 13856, 676, 14834, 1004, 267, 4547, 693, 5480, 676, 519, 4622, 5128, 269, 634, 17779, 540, 1010, 10367, 729, 267, 1034, 540, 519, 2053, 267, 11566, 269, 634, 4480, 1031, 729, 602, 540, 1769, 543, 12094, 269, 3204, 8973, 519, 2034, 4605, 267, 621, 6799, 513, 1390, 8978, 1719, 563, 1103, 309, 601, 5451, 345, 4302, 345, 32161, 3278, 519, 6429, 1141, 519, 5053, 2489, 11392, 519, 1883, 540, 519, 4884, 689, 519, 3946, 540, 3807, 514, 3854, 324, 632, 561, 1817, 8421, 24809, 647, 23579, 4550, 10172, 715, 817, 879, 267, 519, 7015, 540, 24381, 545, 24926, 540, 2107, 16492, 267, 593, 519, 476, 276, 555, 540, 4873, 12898, 513, 2185, 3923, 26362, 269, 1975, 27713, 7637, 4847, 519, 22482, 7952, 547, 4734, 645, 1042, 320, 267, 5329, 741, 15963, 543, 31372, 693, 519, 19235, 540, 519, 4884, 269, 2991, 2072, 267, 646, 2892, 3176, 519, 10656, 2489, 945, 729, 519, 1101, 547, 1205, 856, 540, 519, 28183, 267, 4553, 676, 1010, 7385, 563, 1103, 5437, 320, 1404, 2854, 676, 2836, 1457, 11252, 632, 3288, 645, 2117, 320, 729, 5340, 693, 28925, 267, 1759, 593, 519, 21704, 540, 645, 1042, 320, 269, 20653, 5451, 345, 4302, 345, 1590, 723, 2938, 519, 1404, 543, 267, 8370, 1296, 2663, 267, 1310, 1082, 2090, 267, 646, 585, 3022, 513, 8978, 7206, 563, 290, 308, 15709, 910, 2398, 2946, 11985, 9835, 525, 8278, 3421, 31839, 320, 2478, 281, 15776, 803, 4068, 2720, 9835, 525, 8278, 3421, 546, 685, 28808, 2946, 22448, 2720, 454, 4002, 5458, 17198, 267, 519, 6370, 2361, 5526, 267, 2407, 540, 8673, 267, 12269, 543, 20747, 269, 2201, 1142, 2427, 540, 519, 7206, 267, 972, 616, 8370, 5515, 281, 519, 10656, 593, 519, 2451, 267, 543, 519, 5053, 267, 593, 519, 1318, 563, 299, 525, 4409, 6346, 1875, 14369, 1612, 4425, 17010, 521, 2632, 2781, 5060, 26982, 23816, 550, 3288, 9015, 29629, 12578, 632, 3288, 9056, 566, 964, 20375, 2351, 2294, 2433, 910, 18060, 597, 682, 4779, 1231, 2009, 1147, 3288, 6219, 606, 857, 26413, 282, 910, 2261, 20960, 3288, 562, 537, 767, 548, 11746, 1612, 964, 1202, 18587, 1696, 267, 1147, 339, 719, 267, 1612, 11552, 886, 5270, 632, 2511, 1696, 632, 1319, 686, 14513, 282, 910, 2463, 518, 512, 719, 525, 8350, 7148, 525, 26982, 1286, 716, 5142, 550, 682, 1612, 322, 2293, 632, 561, 323, 12715, 546, 753, 682, 1661, 1186, 1696, 267, 546, 753, 682, 8732, 632, 561, 3916, 1588, 632, 5909, 1622, 561, 906, 606, 857, 839, 267, 8350, 929, 338, 13996, 282, 910, 1175, 8595, 682, 1781, 1460, 5918, 1826, 546, 5793, 3685, 282, 679, 2958, 626, 17243, 512, 719, 525, 8350, 7148, 525, 1271, 525, 5918, 669, 656, 1512, 1696, 8350, 1362, 518, 269, 19999, 745, 4425, 17010, 267, 4943, 520, 632, 9894, 1258, 267, 15224, 25279, 818, 327, 3538, 517, 823, 267, 693, 9629, 524, 526, 513, 3456, 3087, 520, 314, 538, 4186, 652, 8494, 683, 806, 10028, 320, 632, 513, 18060, 328, 607, 1575, 571, 561, 528, 267, 1726, 25975, 773, 544, 2967, 2554, 4599, 314, 521, 314, 535, 773, 19597, 622, 546, 624, 1065, 26147, 267, 544, 2967, 2554, 4599, 314, 1065, 26147, 546, 624, 9056, 622, 267, 859, 527, 526, 24140, 2781, 320, 544, 2967, 544, 732, 17680, 329, 314, 740, 314, 1872, 597, 850, 1775, 22058, 314, 686, 548, 521, 563, 763, 1895, 540, 519, 17204, 3283, 568, 6913, 609, 513, 8273, 3099, 540, 1769, 543, 2681, 269, 634, 5053, 616, 811, 17715, 543, 10427, 269, 7324, 519, 21318, 540, 5515, 267, 1142, 835, 540, 873, 25191, 676, 519, 1259, 621, 729, 13556, 267, 621, 568, 5156, 602, 519, 4137, 540, 519, 18048, 849, 5526, 593, 519, 17198, 563, 3080, 540, 519, 1034, 1271, 2609, 540, 519, 7206, 616, 519, 476, 2764, 561, 1734, 267, 1152, 2185, 540, 873, 1373, 18761, 269, 634, 3068, 540, 8050, 267, 570, 2444, 1156, 28872, 269, 3509, 1919, 723, 1044, 2854, 593, 1810, 17630, 20653, 5451, 345, 4302, 345, 632, 8125, 9366, 269, 13067, 720, 593, 519, 3791, 16683, 540, 1010, 2669, 2421, 519, 17630, 20653, 5451, 345, 4302, 345, 4659, 540, 28925, 269, 634, 1390, 18048, 5747, 593, 519, 476, 278, 555, 540, 4864, 7424, 9788, 856, 538, 519, 1325, 322, 5451, 345, 541, 267, 20386, 538, 1010, 25136, 540, 519, 1931, 540, 16114, 328, 6210, 563, 3891, 729, 12617, 1282, 519, 3781, 693, 519, 5842, 20844, 645, 2246, 16695, 5939, 267, 538, 519, 4527, 540, 1082, 10424, 14064, 527, 2456, 269, 3571, 7385, 267, 4236, 3570, 623, 5995, 1723, 267, 15068, 1864, 1152, 585, 513, 3018, 543, 729, 12617, 1985, 547, 1864, 563, 1103, 845, 725, 5918, 3561, 454, 9213, 267, 972, 568, 1100, 10250, 2451, 540, 519, 5939, 610, 519, 19772, 540, 1810, 17630, 269, 1809, 1010, 960, 1705, 7639, 269, 9320, 267, 602, 568, 519, 2601, 1946, 1010, 1568, 616, 2407, 540, 971, 2609, 267, 2901, 649, 3277, 547, 1010, 12416, 610, 1010, 9954, 269, 3204, 8973, 519, 8978, 2621, 700, 2100, 19443, 1282, 1010, 476, 10463, 1296, 540, 1272, 267, 789, 941, 865, 1082, 267, 971, 607, 519, 14789, 602, 941, 4207, 547, 1864, 563, 5319, 21129, 267, 3288, 595, 5746, 29052, 3136, 20221, 15646, 1721, 1356, 5067, 678, 20110, 548, 1089, 550, 1408, 546, 753, 682, 26955, 321, 520, 1857, 267, 711, 600, 618, 20221, 21986, 1094, 7589, 20221, 3213, 8932, 388, 505, 807, 19999, 745, 1546, 345, 14179, 339, 19327, 7931, 5889, 22448, 328, 267, 21645, 1714, 548, 26924, 3288, 929, 15530, 2064, 1244, 7572, 5104, 32576, 335, 712, 476, 277, 4779, 529, 269, 9919, 911, 341, 841, 829, 5471, 632, 1292, 1084, 597, 796, 5188, 513, 11355, 682, 575, 23662, 928, 618, 1147, 682, 521, 719, 1329, 20527, 1595, 1664, 1696, 3288, 882, 766, 269, 11010, 2781, 328, 632, 1509, 321, 686, 513, 328, 521, 26324, 328, 267, 595, 5746, 29052, 513, 632, 1597, 527, 4230, 26324, 17844, 796, 954, 32643, 12460, 1965, 523, 388, 505, 658, 267, 3841, 756, 559, 476, 388, 503, 328, 10841, 738, 520, 3331, 362, 333, 17012, 388, 505, 320, 476, 388, 503, 328, 7931, 5889, 11844, 267, 3331, 362, 333, 524, 2465, 320, 2781, 929, 633, 388, 503, 974, 882, 320, 388, 505, 328, 850, 635, 518, 1017, 324, 21536, 831, 1446, 267, 29593, 476, 388, 503, 328, 522, 1128, 534, 388, 505, 26324, 632, 1065, 30959, 550, 732, 513, 635, 22780, 26324, 388, 505, 4512, 632, 7192, 27468, 328, 563, 763, 1974, 950, 700, 2100, 5030, 568, 835, 540, 1390, 15496, 585, 519, 2686, 543, 5289, 1272, 540, 8050, 269, 8585, 577, 663, 1047, 689, 782, 1472, 519, 1158, 8452, 693, 519, 5053, 5480, 267, 2835, 689, 7977, 543, 1234, 388, 505, 23176, 632, 3331, 362, 978, 686, 329, 790, 513, 533, 1408, 4512, 632, 8732, 26324, 4550, 268, 383, 362, 3387, 26324, 13700, 5889, 333, 790, 267, 1053, 689, 6428, 600, 4545, 320, 267, 519, 9510, 6280, 538, 8050, 543, 8772, 540, 2342, 543, 1325, 5632, 5451, 632, 7009, 4100, 267, 26719, 689, 519, 3162, 563, 1103, 3854, 324, 632, 561, 1817, 8421, 24809, 647, 23579, 4550, 10172, 267, 950, 700, 2100, 729, 1869, 513, 1126, 267, 519, 1568, 540, 519, 7027, 540, 570, 1370, 334, 3357, 547, 606, 1439, 267, 9591, 519, 5289, 2915, 2742, 540, 519, 5053, 1272, 563, 4504, 1877, 729, 519, 18326, 540, 519, 7720, 832, 689, 1325, 30298, 329, 1551, 553, 543, 700, 2100, 786, 7747, 519, 7772, 538, 1010, 1378, 1753, 1884, 540, 1010, 12543, 585, 519, 25954, 540, 519, 26532, 638, 16695, 269, 2271, 515, 19036, 5213, 24883, 543, 15596, 1772, 8475, 548, 540, 4406, 12251, 267, 5747, 269, 2311, 519, 2085, 540, 8370, 267, 700, 2100, 4862, 519, 1101, 2984, 827, 519, 24123, 6370, 540, 700, 788, 27053, 269, 769, 293, 3757, 322, 8646, 632, 6581, 1386, 334, 267, 835, 540, 519, 1034, 1271, 4589, 540, 519, 3209, 5055, 533, 3821, 637, 8619, 267, 729, 4535, 563, 2691, 700, 2100, 729, 476, 3374, 267, 519, 1390, 10564, 22513, 18372, 632, 4173, 516, 571, 267, 5747, 269, 769, 309, 601, 5451, 345, 4302, 345, 729, 4535, 269, 769, 18485, 4432, 13983, 1723, 543, 595, 969, 656, 525, 5884, 269, 769, 299, 2100, 3576, 851, 693, 519, 2112, 1996, 4789, 267, 2059, 609, 519, 12833, 4532, 1043, 14022, 3385, 269, 769, 28846, 594, 540, 4789, 3357, 547, 8050, 267, 1927, 609, 519, 5918, 651, 540, 21207, 532, 5069, 267, 3168, 585, 513, 7385, 269, 769, 21545, 1872, 531, 9674, 689, 8050, 563, 1103, 1010, 1568, 267, 700, 2100, 1705, 711, 1152, 2911, 827, 519, 8978, 23339, 602, 3769, 1864, 2047, 610, 711, 267, 855, 849, 827, 519, 2442, 905, 6814, 267, 519, 1259, 875, 519, 1004, 540, 28925, 10150, 13032, 325, 2074, 543, 3909, 535, 5006, 553, 269, 2290, 540, 519, 4099, 3197, 540, 700 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3478, 538, 593, 782, 540, 519, 1187, 543, 1728, 701, 540, 31733, 781, 14232, 1412, 13510, 12310, 281, 7736, 18524, 262, 543, 922, 5063, 5950, 751, 6471, 911, 8814, 267, 609, 519, 2475, 2230, 8116, 11362, 538, 543, 23831, 513, 1688, 5356, 5796, 593, 875, 547, 4688, 513, 18843, 539, 25414, 853, 1046, 563, 1103, 519, 2997, 12310, 281, 7736, 18524, 911, 8814, 267, 853, 1046, 568, 18843, 539, 593, 519, 6928, 543, 3081, 646, 814, 2473, 18958, 540, 5135, 2451, 269, 8331, 781, 1514, 2923, 2272, 568, 593, 3595, 1318, 1631, 267, 17408, 7566, 856, 547, 31733, 827, 25414, 853, 1046, 267, 1141, 789, 1767, 281, 834, 20756, 7711, 11321, 767, 267, 649, 4862, 827, 25414, 853, 1046, 269, 1306, 649, 917, 267, 519, 1101, 3364, 596, 1058, 798, 568, 6432, 538, 5692, 1852, 585, 834, 287, 13510, 12310, 267, 649, 723, 513, 1966, 1701, 1809, 952, 646, 666, 1405, 5968, 267, 1287, 649, 4363, 2666, 6887, 946, 782, 2200, 547, 11571, 519, 22839, 585, 707, 7508, 812, 8487, 7343, 3285, 622, 1022, 948, 596, 666, 1683, 9462, 503, 493, 1765, 31733, 2289, 3930, 31822, 11321, 767, 6597, 3930, 264, 5412, 476, 1015, 267, 476, 1001, 279, 454, 289, 21392, 2943, 267, 538, 519, 3845, 596, 666, 1294, 835, 540, 519, 964, 802, 693, 8331, 814, 513, 1129, 593, 519, 11380, 602, 14509, 1412, 8025, 3036, 262, 609, 513, 2370, 17200, 543, 513, 2475, 9206, 593, 621, 269, 901, 568, 513, 8799, 5905, 855, 711, 14330, 308, 5829, 267, 607, 8331, 6045, 538, 513, 1246, 5346, 512, 11548, 281, 834, 763, 8946, 1069, 531, 15051, 543, 12754, 630, 8025, 3036, 264, 11464, 568, 5963, 835, 540, 17030, 6513, 781, 1522, 5006, 12325, 269, 1358, 2327, 519, 5106, 540, 2789, 7711, 22129, 318, 1805, 566, 1016, 17882, 338, 799, 2445, 267, 15814, 1299, 7947, 3002, 689, 2565, 3937, 543, 31139, 338, 585, 519, 1967, 540, 519, 5692, 8487, 304, 783, 5570, 20764, 999, 814, 1175, 9307, 513, 1269, 1911, 2929, 5092, 883, 519, 2104, 540, 5841, 4987, 267, 609, 519, 9746, 14679, 3854, 6186, 540, 519, 10965, 777, 323, 16400, 9649, 8380, 519, 12238, 660, 2280, 1524, 593, 3642, 563, 4407, 1034, 824, 3549, 616, 2324, 593, 3642, 602, 18795, 538, 519, 6531, 267, 19120, 5570, 568, 3478, 1919, 2324, 6251, 547, 1753, 281, 593, 11546, 341, 823, 3642, 269, 19120, 5570, 786, 581, 1210, 922, 1269, 1911, 2929, 5092, 547, 2285, 30596, 7616, 585, 593, 11546, 341, 823, 3642, 602, 8255, 593, 519, 4890, 3926, 267, 2436, 621, 581, 513, 16335, 610, 513, 1582, 28391, 1286, 267, 8957, 519, 6531, 269, 634, 2104, 540, 3642, 3884, 1405, 538, 519, 6531, 2687, 547, 19120, 5570, 267, 855, 2864, 593, 11546, 341, 823, 3642, 563, 2704, 6975, 15651, 267, 19120, 5570, 20971, 10615, 267, 6045, 281, 834, 9213, 781, 3642, 4393, 568, 1360, 1939, 14260, 14021, 269, 1879, 596, 2811, 6158, 547, 5981, 320, 267, 4986, 568, 9268, 593, 707, 3926, 267, 621, 4991, 3144, 547, 519, 6531, 543, 4991, 9379, 684, 3481, 972, 269, 1703, 616, 513, 1906, 2042, 609, 602, 910, 2773, 14016, 919, 267, 621, 27499, 513, 2603, 540, 19961, 543, 972, 616, 7834, 2152, 269, 5994, 596, 723, 606, 5981, 320, 602, 568, 811, 4357, 543, 3593, 7888, 267, 596, 2307, 519, 2055, 543, 666, 1205, 519, 4267, 14678, 269, 898, 3085, 1405, 1491, 519, 5180, 7552, 782, 519, 1259, 547, 519, 6531, 8487, 14976, 517, 30073, 568, 2944, 609, 713, 4541, 621, 4667, 267, 609, 519, 6611, 311, 543, 23592, 13653, 6031, 972, 568, 513, 476, 3583, 260, 4960, 646, 3513, 979, 547, 9370, 267, 1945, 646, 5063, 1767, 538, 606, 5967, 585, 519, 589, 3495, 657, 593, 670, 19447, 17245, 3126, 563, 763, 1483, 1272, 25414, 853, 1046, 3773, 602, 6028, 585, 9370, 4465, 1405, 581, 606, 834, 525, 3874, 1544, 585, 519, 3638, 257, 538, 922, 1699, 1106, 267, 1141, 646, 1767, 519, 6725, 8095, 593, 513, 9370, 7552, 1131, 581, 834, 3697, 1744, 871, 13987, 781, 740, 585, 2469, 547, 519, 21303, 257, 543, 896, 20040, 519, 1249, 602, 21409, 547, 519, 3162, 24504, 7012, 1405, 606, 2653, 835, 269, 898, 9327, 1405, 581, 513, 2656, 3460, 267, 6862, 1131, 621, 581, 6899, 267, 543, 596, 9364, 723, 547, 4647, 707, 28923, 1543, 22356, 1317, 594, 4312, 4862, 789, 1810, 1405, 723, 1390, 15261, 19712, 593, 9370, 563, 15404, 330, 1767, 519, 942, 6170, 593, 9370, 538, 519, 1101, 1296, 1131, 581, 9591, 13279, 543, 3695, 519, 4414, 14136, 543, 922, 10792, 2175, 267, 513, 4161, 602, 1131, 581, 585, 519, 1034, 851, 267, 513, 835, 17574, 3460, 269, 25175, 2469, 547, 9370, 538, 519, 1101, 1906, 15143, 9327, 1405, 581, 4947, 1394, 267, 543, 952, 789, 15068, 519, 15143, 972, 519, 3460, 1394, 1131, 2141, 581, 513, 6161, 269, 898, 1131, 581, 519, 1985, 24932, 2290, 9540, 5153, 1280, 2494, 267, 2290, 27951, 2274, 777, 1280, 631, 1678, 785, 4090, 1862, 1945, 602, 7899, 540, 1004, 1131, 1129, 909, 14678, 267, 609, 1100, 646, 560, 2787, 563, 22129, 311, 16628, 543, 23592, 13653, 4432, 517, 30073, 814, 9307, 602, 519, 1101, 4357, 6075, 547, 11878, 1472, 519, 9855, 593, 6611, 311, 781, 1007, 13777, 22618, 15177, 281, 519, 8262, 24415, 935, 9412, 564, 630, 289, 15709, 1040, 634, 1268, 538, 2243, 568, 5545, 5479, 18311, 543, 13653, 540, 2098, 9926, 582, 1144, 267, 3567, 781, 4102, 2228, 7802, 10685, 518, 267, 962, 639, 27495, 631, 2801, 345, 11867, 563, 300, 2801, 345, 11867, 786, 581, 15191, 1154, 1055, 547, 519, 9855, 3330, 540, 6611, 311, 781, 1007, 645, 15709, 28069, 538, 476, 1708, 274, 538, 606, 1148, 1788, 1572, 1948, 323, 792, 300, 3019, 267, 1141, 646, 786, 1491, 5159, 593, 519, 7552, 609, 1864, 267, 543, 1287, 2307, 873, 547, 1711, 4773, 540, 1148, 602, 786, 8300, 519, 1480, 5198, 2899, 789, 1205, 1394, 269, 631, 2801, 345, 11867, 1767, 281, 834, 7661, 267, 594, 666, 2995, 596, 602, 594, 3442, 547, 979, 547, 519, 9855, 256, 594, 3442, 547, 979, 547, 519, 7599, 609, 5159, 30882, 300, 2801, 345, 11867, 834, 321, 4454, 782, 519, 16295, 257, 593, 519, 645, 15709, 543, 786, 581, 3168, 585, 476, 277, 268, 279, 5159, 689, 513, 5180, 519, 1158, 547, 1491, 519, 3018, 2000, 821, 7552, 547, 519, 9855, 543, 1394, 269, 1261, 6941, 281, 834, 296, 1131, 899, 547, 16436, 3670, 547, 5216, 5159, 689, 1472, 519, 1158, 547, 6443, 803, 593, 713, 5692, 547, 519, 9855, 269, 1452, 5159, 786, 581, 4280, 547, 1711, 1945, 1310, 789, 2132, 547, 3047, 267, 543, 891, 25704, 786, 8300, 519, 5326, 518, 1369, 782, 540, 721, 8487, 290, 10087, 4211, 7637, 568, 3168, 883, 15267, 19899, 4310, 10425, 267, 513, 1007, 2344, 602, 789, 1223, 3533, 20441, 609, 519, 3656, 1436, 540, 17089, 10825, 2429, 519, 1158, 267, 4849, 538, 5245, 1141, 24035, 518, 8496, 1145, 4249, 476, 2190, 270, 278, 538, 782, 2229, 13646, 563, 8042, 301, 25204, 6199, 5359, 602, 595, 10087, 4211, 7637, 568, 834, 514, 12909, 257, 609, 8225, 17089, 16073, 29457, 7702, 2052, 10109, 529, 267, 609, 595, 10087, 4211, 7637, 22557, 2006, 13573, 8092, 619, 10213, 25204, 6199, 5240, 281, 834, 26589, 609, 1082, 1866, 538, 519, 20892, 2872, 267, 649, 616, 5702, 8384, 519, 2208, 540, 1875, 268, 10043, 11155, 5562, 14055, 607, 606, 12146, 538, 6198, 9716, 16098, 1472, 519, 1158, 269, 634, 2230, 568, 9687, 3533, 269, 3143, 3664, 723, 1044, 1500, 693, 713, 942, 2668, 634, 1079, 3549, 616, 538, 834, 338, 518, 1190, 12909, 257, 609, 1142, 824, 2687, 547, 519, 2959, 269, 634, 15267, 19899, 4310, 4235, 1131, 834, 324, 848, 6553, 267, 1928, 267, 543, 16081, 4771, 8487, 288, 584, 7702, 22557, 30513, 1261, 1430, 5839, 294, 2958, 528, 5143, 645, 13585, 25204, 6199, 602, 519, 2754, 568, 3168, 693, 519, 29689, 1532, 1197, 720, 2344, 543, 814, 4566, 585, 2472, 538, 602, 2344, 267, 855, 9327, 1405, 6085, 593, 519, 1625, 19959, 4308, 609, 595, 10087, 4211, 7637, 269, 5839, 294, 2958, 528, 1767, 281, 834, 2026, 513, 4341, 267, 649, 798, 711, 1865, 1870, 1646, 7341, 2394, 789, 616, 3803, 1242, 267, 2705, 649, 723, 513, 5539, 547, 938, 23265, 547, 2285, 1697, 7156, 547, 782, 4143, 3255, 602, 616, 4843, 8487, 2252, 596, 616, 538, 991, 540, 513, 1804, 13297, 540, 7482, 267, 596, 666, 2141, 2322, 707, 3043, 10359, 593, 543, 960, 1945, 856, 585, 8331, 538, 741, 9241, 268, 2335, 6407, 2910, 273, 23586, 7420, 563, 22498, 781, 1007, 2910, 273, 23586, 7420, 786, 1294, 513, 2319, 540, 3744, 543, 31132, 3605, 513, 1259, 547, 6460, 2910, 273, 883, 6675, 602, 666, 581, 1031, 547, 3132, 1082, 824, 1919, 1862, 952, 713, 6602, 4523, 267, 972, 786, 581, 513, 16771, 945, 3813, 999, 513, 5458, 1269, 16020, 267, 1822, 563, 763, 3355, 1445, 8331, 814, 593, 519, 2910, 273, 23586, 7420, 568, 585, 6887, 547, 6460, 2910, 273, 547, 3794, 26651, 267, 538, 1022, 1259, 789, 666, 269, 8331, 6941, 281, 834, 20055, 721, 3605, 2081, 547, 1020, 3209, 10282, 4066, 602, 946, 3327, 8166, 630, 4596, 273, 264, 607, 519, 6852, 3327, 2707, 547, 5352, 6675, 602, 666, 581, 1031, 547, 5478, 513, 3099, 540, 2472, 267, 1519, 834, 11357, 1598, 919, 257, 585, 946, 538, 15451, 1979, 648, 716, 832, 2668, 0, 763, 6476, 1900, 661, 476, 6321, 568, 4553, 676, 513, 9819, 1900, 661, 476, 6872, 585, 12719, 519, 12381, 547, 581, 1500, 547, 519, 32649, 8301, 5365, 607, 513, 1599, 540, 519, 6592, 2203, 269, 1133, 15905, 2290, 28233, 24822, 543, 811, 269, 6396, 543, 17102, 585, 9633, 532, 796, 11499, 9259, 538, 10991, 4633, 1210, 513, 20533, 2825, 1198, 269, 1452, 12381, 616, 4294, 676, 2949, 13128, 2744, 1852, 547, 12189, 519, 22621, 8301, 5365, 538, 513, 14842, 1900, 661, 1452, 13838, 616, 19040, 538, 476, 275, 2010, 540, 5751, 13093, 2045, 267, 2489, 267, 21044, 267, 1863, 4633, 269, 769, 713, 1505, 540, 7900, 513, 5152, 267, 513, 23363, 1900, 661, 476, 8618, 666, 581, 13401, 1354, 7900, 513, 5152, 269, 5192, 547, 5700, 2974, 563, 347, 14630, 1520, 4765, 10573, 278, 5988, 476, 1001, 271, 2008, 347, 17572, 12025, 10573, 4510, 269, 1015, 25253, 2008, 347, 23330, 908, 7010, 10573, 20360, 3298, 24857, 270, 1220, 271, 270, 311, 303, 270, 1220, 274, 270, 1220, 274, 270, 278, 270, 279, 270, 1015, 5839, 5308, 476, 1015, 270, 311, 2008, 347, 25820, 10573, 10403, 265, 1496, 265, 10403, 3204, 338, 527, 1674, 22490, 316, 2008, 2304, 8301, 10784, 29396, 23363, 1505, 2687, 547, 2901, 3409, 476, 274, 30726, 1242, 538, 602, 519, 2039, 540, 2912, 1043, 12451, 568, 5258, 883, 693, 2547, 476, 2004, 4908, 13164, 269, 5678, 1565, 1982, 543, 2780, 28505, 521, 14588, 539, 1782, 7699, 5420, 2348, 519, 1482, 269, 18329, 7574, 17102, 585, 13754, 1944, 13047, 4992, 1210, 3898, 3280, 10282, 2553, 563, 1103, 713, 11601, 1900, 661, 476, 1724, 534, 32649, 8301, 5365, 19501, 676, 519, 1641, 590, 568, 1990, 32497, 1782, 7699, 909, 3842, 513, 28416, 267, 585, 1383, 269, 634, 19706, 2079, 1900, 661, 476, 1428, 568, 2147, 547, 602, 5892, 4330, 585, 519, 8301, 5365, 547, 581, 708, 18469, 267, 543, 23607, 519, 8515, 540, 519, 8301, 5365, 16626, 538, 713, 1259, 689, 519, 1641, 590, 936, 513, 3126, 540, 4908, 13164, 563, 2026, 3254, 538, 16658, 563, 4785, 1220, 4335, 278, 6078, 3953, 288, 272, 1107, 6396, 540, 8301, 10784, 29396, 23363, 1107, 5616, 4793, 757, 454, 7628, 519, 4730, 540, 513, 5152, 267, 519, 3758, 5627, 1152, 519, 9311, 2939, 568, 10480, 547, 519, 1641, 590, 3842, 519, 24582, 543, 30069, 269, 4340, 547, 9053, 2934, 540, 519, 8798, 267, 519, 1657, 23363, 1505, 2417, 2882, 513, 1900, 540, 13936, 519, 19706, 2079, 540, 519, 2203, 8301, 5365, 547, 581, 708, 18469, 269, 19255, 321, 641, 5071, 518, 22960, 4858, 2738, 269, 634, 8515, 1808, 547, 1142, 540, 519, 4908, 13164, 9916, 568, 6027, 538, 519, 2079, 1900, 661, 769, 519, 2013, 540, 513, 4914, 1893, 267, 713, 8301, 5365, 666, 581, 513, 2262, 610, 513, 1305, 540, 1913, 14733, 676, 513, 5065, 10584, 540, 519, 1893, 1373, 6594, 563, 309, 7860, 17726, 1782, 7699, 281, 3301, 547, 7520, 1893, 1565, 454, 2026, 5892, 267, 713, 3280, 3758, 666, 581, 6740, 593, 513, 2182, 12210, 540, 513, 2780 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 293, 16971, 543, 8776, 637, 26463, 29474, 454, 31995, 16200, 4858, 1231, 281, 1107, 606, 7317, 32367, 1031, 538, 6552, 26146, 609, 16971, 3885, 270, 10919, 885, 454, 1103, 476, 1001, 275, 267, 715, 6549, 320, 3812, 513, 15520, 3617, 543, 7317, 4199, 547, 1628, 2038, 2634, 1646, 1702, 543, 1983, 269, 901, 4199, 267, 19663, 16200, 4858, 1231, 630, 14899, 289, 1070, 729, 2919, 1739, 15360, 609, 811, 982, 476, 4968, 16971, 543, 8776, 637, 26463, 29474, 3885, 4882, 16291, 7426, 689, 2066, 6237, 543, 23195, 5375, 5245, 563, 763, 717, 306, 289, 32367, 568, 606, 7317, 267, 15520, 3617, 4199, 602, 8992, 4656, 543, 1620, 540, 2038, 2634, 1646, 2257, 840, 1532, 9500, 543, 538, 519, 2038, 1296, 540, 513, 1126, 779, 1272, 269, 24623, 547, 2743, 2199, 2115, 267, 621, 11942, 543, 25040, 1565, 1369, 513, 15520, 2922, 2796, 269, 634, 6388, 540, 519, 717, 306, 289, 32367, 1788, 5059, 593, 281, 2178, 12352, 609, 3028, 7426, 543, 2199, 2146, 2516, 282, 6278, 543, 2679, 3347, 609, 2199, 2950, 543, 3885, 282, 3028, 6765, 693, 513, 6371, 3597, 1377, 282, 543, 2679, 2199, 23594, 543, 4390, 547, 960, 609, 519, 717, 306, 289, 32367, 1369, 2950, 563, 7628, 476, 1001, 277, 519, 19663, 16200, 4858, 1231, 630, 14899, 289, 264, 32367, 729, 8045, 543, 11117, 2066, 519, 7108, 26753, 3148, 547, 12681, 922, 7145, 585, 2810, 1702, 543, 1620, 538, 2199, 16971, 2950, 540, 2038, 2634, 1646, 269, 634, 2164, 540, 519, 1788, 8612, 602, 2949, 715, 6549, 320, 6913, 519, 6859, 799, 723, 3177, 4681, 543, 7840, 585, 2417, 1489, 543, 6388, 540, 519, 717, 306, 289, 32367, 538, 5375, 5245, 563, 3086, 538, 476, 1001, 279, 267, 715, 6549, 320, 814, 2417, 7616, 543, 568, 7598, 519, 6304, 538, 519, 2961, 333, 541, 341, 517, 2146, 1210, 513, 2146, 2861, 29355, 2962, 1382, 12191, 563, 763, 6881, 786, 1445, 593, 875, 519, 32367, 729, 2919, 267, 6268, 4681, 543, 3838, 1451, 902, 547, 4266, 267, 799, 723, 519, 1761, 547, 1217, 824, 15520, 3617, 543, 2500, 10319, 7459, 547, 3035, 6099, 4093, 585, 16971, 1453, 543, 3885, 563, 14976, 12578, 568, 10615, 3194, 693, 715, 6549, 320, 267, 630, 8001, 532, 543, 2038, 6689, 2533, 1070, 711, 585, 7443, 13539, 538, 3131, 628, 267, 26146, 269, 3683, 519, 2250, 8717, 4432, 12578, 814, 2919, 543, 1185, 23388, 540, 519, 715, 6549, 320, 1382, 16786, 543, 814, 4646, 1082, 2178, 3347, 609, 2160, 4891, 269, 4432, 12578, 779, 1883, 1445, 568, 593, 6037, 1049, 1382, 269, 0, 292, 7034, 4596, 10676, 5713, 5215, 540, 8021, 609, 14167, 3594, 267, 4930, 543, 824, 1543, 1519, 6869, 25978, 20767, 326, 19213, 781, 595, 23147, 564, 1127, 2480, 1026, 754, 328, 23620, 538, 269, 5192, 1569, 547, 936, 476, 1321, 2929, 824, 4930, 256, 10749, 543, 9880, 593, 6869, 25978, 12756, 20767, 326, 19213, 11879, 10749, 269, 1323, 5811, 540, 7323, 20767, 326, 19213, 781, 674, 1157, 12116, 20767, 326, 19213, 781, 2110, 1650, 595, 23147, 564, 1127, 2480, 1026, 754, 328, 14174, 304, 281, 4937, 5999, 6168, 2480, 1026, 754, 328, 581, 621, 513, 6725, 1867, 610, 606, 2079, 540, 5092, 3255, 563, 306, 4933, 754, 328, 2501, 689, 513, 5824, 8360, 267, 524, 23147, 564, 1127, 31163, 754, 328, 267, 799, 1797, 257, 519, 20882, 547, 2328, 269, 834, 7982, 547, 14174, 304, 5851, 6796, 595, 20975, 2296, 607, 513, 5822, 5678, 11872, 25453, 22031, 14315, 7705, 11427, 563, 290, 712, 1633, 257, 595, 23147, 564, 1127, 2480, 1026, 754, 328, 257, 676, 21965, 12756, 20767, 326, 19213, 630, 653, 476, 26116, 264, 22335, 269, 18004, 538, 14351, 8822, 267, 10790, 593, 476, 2764, 5412, 476, 9965, 280, 20767, 326, 19213, 595, 23147, 564, 1127, 2480, 1026, 754, 328, 7335, 11872, 269, 634, 8498, 540, 670, 269, 3143, 1762, 2367, 282, 2353, 2021, 282, 634, 2021, 2661, 899, 715, 7419, 306, 282, 589, 1880, 3170, 1275, 8288, 936, 713, 13991, 1747, 1169, 2021, 729, 513, 30612, 610, 513, 30823, 523, 595, 23147, 564, 1127, 31163, 754, 328, 2079, 1557, 3811, 1557, 1603, 3377, 6752, 1382, 4574, 3382, 2985, 29827, 11634, 332, 747, 1557, 888, 18528, 5166, 10764, 543, 741, 4978, 1557, 1382, 1957, 593, 16080, 25703, 23407, 3009, 1018, 568, 513, 1434, 25759, 4845, 538, 606, 1557, 12819, 1557, 827, 552, 30984, 7521, 2110, 1557, 3096, 543, 28407, 540, 18371, 1143, 538, 519, 9036, 3594, 9158, 773, 1557, 6632, 339, 321, 1168, 518, 2125, 516, 19816, 524, 23147, 564, 1127, 31163, 754, 328, 2079, 1557, 563, 842, 3174, 540, 1434, 1557, 7292, 7130, 538, 3506, 1557, 18454, 543, 14286, 540, 16646, 3594, 2156, 1188, 6960, 1557, 5026, 1382, 1957, 737, 525, 6409, 269, 0, 2690, 3236, 267, 7988, 550, 2044, 949, 581, 1634, 676, 519, 588, 8962, 1373, 28489, 344, 267, 711, 21536, 1190, 610, 1216, 344, 267, 543, 1419, 1792, 8898, 609, 1973, 269, 4329, 267, 891, 17355, 340, 725, 616, 3622, 6404, 609, 13980, 540, 1455, 22454, 267, 543, 538, 519, 11996, 540, 17680, 4771, 267, 972, 568, 811, 610, 1447, 540, 513, 3586, 1928, 827, 519, 12806, 269, 1452, 2589, 267, 1927, 609, 519, 9000, 540, 16081, 335, 543, 838, 11047, 267, 786, 581, 513, 6190, 3391, 547, 10646, 519, 2068, 540, 7988, 550, 2044, 689, 602, 540, 26601, 5028, 563, 1103, 932, 4301, 267, 543, 3226, 538, 519, 18048, 781, 669, 4301, 267, 621, 568, 3020, 602, 972, 568, 4749, 513, 2941, 1190, 13481, 540, 23925, 267, 1247, 519, 6367, 1564, 620, 269, 18467, 2611, 6188, 514, 2299, 1942, 633, 4986, 8726, 666, 581, 1500, 547, 1780, 676, 22454, 282, 543, 713, 11495, 25896, 786, 6488, 513, 10058, 1665, 1063, 519, 669, 4301, 543, 519, 26601, 5028, 269, 0, 3891, 11119, 11706, 301, 12078, 10601, 12355, 11706, 269, 15718, 541, 589, 1075, 320, 8057, 13110, 540, 782, 713, 543, 4956, 547, 2951, 4805, 269, 1284, 666, 8263, 602, 891, 22221, 2099, 519, 22225, 540, 519, 11706, 269, 898, 568, 1869, 711, 1634, 267, 2436, 713, 3017, 729, 540, 1022, 2956, 547, 519, 5549, 553, 563, 763, 954, 5632, 566, 729, 13234, 688, 874, 1794, 731, 569, 267, 2687, 547, 1483, 610, 16545, 2115, 267, 543, 1142, 5681, 518, 1014, 2749, 17332, 3275, 693, 786, 1765, 324, 269, 715, 6373, 623, 20234, 559, 3780, 2073, 2687, 547, 2245, 519, 2034, 4622, 540, 7507, 7790, 898, 666, 849, 581, 7074, 602, 1079, 9343, 540, 1079, 1535, 2947, 540, 519, 669, 553, 638, 529, 1818, 8938, 669, 553, 638, 529, 723, 8188, 3168, 585, 2072, 543, 835, 4737, 540, 1079, 1535, 2947, 669, 553, 638, 529, 1818, 4557, 669, 553, 638, 529, 814, 7873, 528, 9843, 3168, 20733, 563, 3719, 13059, 547, 519, 4505, 3948, 834, 23562, 4868, 24262, 267, 1287, 267, 1500, 519, 1032, 269, 1677, 4194, 713, 1966, 519, 21072, 11827, 513, 1085, 3012, 1242, 3540, 1032, 540, 2395, 5258, 883, 1614, 12405, 267, 1142, 540, 799, 15538, 540, 2185, 3275, 540, 476, 1789, 2395, 1142, 269, 5549, 320, 3275, 3767, 13071, 1865, 519, 3275, 538, 5549, 320, 11706, 563, 763, 2395, 941, 22921, 1369, 1142, 540, 519, 1614, 5756, 540, 519, 3923, 269, 634, 5681, 518, 1014, 7245, 849, 2877, 513, 942, 1770, 16030, 519, 2898, 6694, 4783, 282, 585, 1383, 267, 689, 519, 6765, 540, 1007, 24061, 543, 519, 23928, 540, 22317, 6589, 547, 519, 1985, 7693, 269, 634, 10731, 1239, 538, 519, 13669, 31053, 545, 2959, 6161, 1152, 519, 3909, 11706, 269, 634, 2495, 540, 713, 10971, 2012, 689, 519, 5549, 320, 1893, 568, 12624, 540, 20463, 543, 568, 4922, 1634, 607, 513, 4775, 563, 1607, 3540, 11706, 729, 6508, 689, 519, 16264, 11706, 1210, 3275, 543, 519, 6694, 267, 610, 20407, 267, 15088, 1210, 12405, 6902, 621, 729, 267, 2705, 267, 1100, 3476, 2047, 4448, 547, 2901, 543, 3976, 729, 711, 6417, 676, 873, 269, 634, 3275, 3459, 693, 519, 1101, 15287, 540, 519, 1715, 9855, 2073, 543, 538, 519, 476, 279, 628, 2540, 536, 576, 5480, 19936, 1869, 4080, 713, 1271, 8343, 547, 519, 28435, 6929, 15438, 563, 5415, 12738, 941, 5342, 547, 2327, 602, 519, 7031, 18009, 2989, 5265, 269, 623, 714, 541, 549, 729, 3957, 17294, 543, 23071, 540, 782, 9518, 3949, 538, 18475, 267, 610, 1715, 10011, 850, 267, 607, 519, 5053, 1631, 1572, 519, 2244, 563, 16829, 676, 281, 19248, 4026, 1923, 593, 5239, 476, 273, 267, 476, 1001, 273, 454, 2005, 5161, 540, 513, 9649, 3625, 540, 6149, 609, 513, 10766, 2759, 883, 922, 2539, 3368, 543, 606, 14969, 23732, 593, 519, 5580, 851, 269, 634, 5549, 320, 6035, 873, 30060, 669, 747, 320, 538, 513, 11344, 7484, 267, 799, 519, 5053, 15653, 269, 901, 568, 5812, 609, 606, 2038, 5549, 320, 11706, 540, 476, 1015, 3275, 1210, 476, 277, 20610, 547, 519, 7532, 543, 476, 277, 20610, 547, 519, 7178, 540, 595, 15120, 1723, 563, 763, 5086, 540, 2070, 2687, 547, 4856, 341, 2581, 568, 7167, 26698, 14105, 14741, 729, 6825, 609, 741, 30803, 11706, 269, 634, 5053, 6037, 3438, 730, 519, 2012, 607, 570, 24660, 520, 1231, 8500, 334, 610, 570, 24660, 520, 1231, 8500, 340, 563, 4263, 922, 8880, 267, 519, 5549, 320, 661, 2381, 550, 3769, 18475, 543, 9530, 787, 2865, 540, 7729, 335, 577, 1157, 568, 1631, 19578, 543, 513, 2370, 3950, 1651, 320, 11706, 1062, 1018, 568, 9935, 16266, 335, 22004, 540, 519, 31410, 548, 9540, 269, 1651, 345, 634, 2495, 540, 713, 5849, 2012, 689, 519, 22387, 1893, 568, 16797, 540, 7354, 12542, 543, 568, 4922, 530, 958, 607, 513, 1906, 563, 8489, 713, 1448, 15354, 267, 519, 1909, 1131, 2661, 269, 10787, 12738, 941, 26224, 547, 519, 6129, 269, 634, 824, 4872, 2968, 12922, 543, 10443, 1318, 563, 28082, 23234, 267, 8186, 267, 543, 267, 1310, 827, 536, 576, 267, 2516, 10199, 8027, 24817, 269, 1809, 1651, 320, 11706, 1062, 15568, 4505, 267, 713, 12398, 693, 570, 12685, 1678, 340, 568, 711, 15568, 2390, 513, 2820, 2581, 540, 519, 19278, 4158, 883, 12964, 267, 855, 883, 8938, 267, 543, 713, 568, 2759, 1034, 2442, 8924, 585, 14038, 519, 22221, 1651, 320, 11706, 1062, 2829, 8108, 519, 1954, 1125, 693, 519, 5377, 799, 4564, 519, 22221, 22225, 593, 519, 1332, 2427, 540, 519, 17833, 553, 553, 599, 334, 799, 568, 519, 31042, 1543, 563, 306, 15471, 1947, 930, 3947, 540, 23648, 18428, 941, 5186, 12097, 547, 713, 1025, 665, 689, 519, 18631, 2462, 269, 26361, 267, 609, 476, 277, 10425, 267, 519, 14669, 1131, 581, 861, 622, 332, 883, 476, 1015, 609, 519, 3141, 3232, 610, 10211, 593, 519, 1283, 540, 1142, 942, 607, 621, 16033, 919, 2429, 519, 3003, 2059, 519, 22072, 1651, 320, 11706, 1062, 1151, 560, 823, 547, 6580, 543, 1394, 1586, 563, 2026, 515, 6807, 1654, 539, 889, 568, 1946, 267, 2705, 267, 602, 693, 519, 2427, 3294, 519, 2427, 540, 1036, 2522, 1296, 17019, 609, 519, 1569, 542, 1554, 269, 1261, 849, 22234, 602, 519, 20923, 1651, 320, 11706, 1062, 602, 1554, 267, 602, 568, 547, 2161, 267, 519, 12315, 267, 1031, 513, 1554, 540, 476, 1015, 1004, 269, 0, 5278, 821, 945, 1131, 2161, 971, 513, 3364, 6772, 23697, 519, 1249, 602, 621, 781, 711, 519, 2179, 540, 2029, 602, 12523, 267, 855, 875, 596, 946, 621, 602, 6927, 269, 769, 519, 5763, 5006, 7262, 6082, 267, 519, 946, 540, 2029, 814, 1044, 8362, 9859, 676, 1134, 15696, 4327, 3854, 23831, 6127, 269, 1452, 2883, 7405, 1450, 31132, 267, 31356, 267, 543, 22278, 547, 10210, 2724, 693, 1719, 602, 666, 2663, 581, 1065, 4660, 1369, 519, 2796, 540, 513, 3656, 1604, 602, 14014, 3959, 543, 11731, 269, 4340, 547, 16661, 2421, 267, 519, 13357, 540, 519, 3791, 1158, 814, 2185, 27521, 338, 281, 1261, 13187, 602, 1256, 952, 782, 3791, 1158, 2477, 1810, 1405, 4865, 891, 7907, 282, 602, 1142, 19299, 1079, 610, 1614, 540, 873, 563, 2252, 519, 3668, 540, 30222, 568, 547, 4196, 607, 8796, 1496, 5649, 2859, 4940, 24205, 540, 4065, 32389, 269, 589, 5081, 1670, 21887, 2290, 540, 519, 1034, 1271, 3344, 540, 1272, 2221, 568, 4440, 2069, 269, 9453, 513, 1164, 2298, 540, 2069, 267, 2523, 593, 519, 24596, 1377, 267, 621, 568, 1360, 2352, 547, 1265, 2744, 995, 7694, 610, 547, 4434, 538, 835, 781, 6074, 4876, 269, 1280, 713, 2601, 267, 835, 540, 519, 1390, 32333, 538, 519, 1158, 2221, 568, 1514, 8635, 543, 519, 3872, 8635, 602, 4422, 2059 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 267, 543, 1250, 12129, 4266, 814, 1524, 539, 513, 1906, 20034, 25299, 269, 594, 9263, 2620, 883, 1010, 4064, 267, 3843, 547, 4137, 856, 1946, 865, 1082, 1004, 2429, 519, 1164, 10509, 7122, 1589, 8361, 7136, 16433, 1223, 581, 519, 18160, 540, 938, 942, 563, 268, 476, 1220, 271, 5130, 476, 2420, 267, 5903, 10273, 7799, 15104, 7420, 281, 27016, 267, 27016, 1862, 10673, 1406, 15681, 2725, 29755, 9275, 676, 14161, 918, 553, 749, 267, 3842, 2817, 5398, 15571, 912, 268, 1403, 18160, 267, 1250, 15210, 1315, 21518, 513, 17167, 1630, 1054, 6666, 1512, 1315, 594, 4952, 646, 1932, 1131, 581, 1496, 321, 1819, 2639, 268, 589, 21519, 689, 4436, 563, 268, 15751, 18160, 454, 268, 645, 846, 7232, 14852, 7873, 839, 622, 630, 289, 4488, 994, 268, 645, 846, 7232, 14852, 7194, 454, 268, 18160, 2361, 3830, 454, 268, 18160, 1014, 25536, 454, 268, 18160, 6261, 617, 11169, 5652, 7304, 4923, 19433, 630, 292, 6261, 7304, 19433, 267, 661, 11266, 19433, 267, 661, 11266, 994, 268, 18160, 7304, 4923, 8115, 630, 292, 7304, 8115, 267, 18317, 8115, 267, 18317, 994, 268, 18160, 781, 3586, 454, 268, 661, 11266, 284, 2207, 267, 18317, 284, 7968, 305, 454, 268, 853, 1046, 7232, 14852, 1876, 454, 268, 4340, 547, 519, 476, 1001, 271, 2136, 2276, 17227, 267, 18160, 568, 519, 476, 29340, 3445, 628, 1034, 1455, 21519, 538, 519, 2136, 2276, 267, 10362, 547, 476, 4792, 280, 2043, 269, 18160, 568, 1034, 1455, 1851, 6519, 630, 11463, 269, 7918, 8472, 2043, 563, 292, 14852, 630, 680, 1116, 661, 514, 4614, 1231, 994, 268, 630, 27271, 26878, 2880, 264, 1323, 5393, 15931, 610, 10995, 1268, 563, 268, 14271, 11618, 281, 1294, 634, 28445, 281, 3104, 32717, 22433, 454, 268, 2052, 596, 3494, 646, 781, 1175, 513, 9656, 518, 286, 898, 5654, 899, 789, 4312, 3893, 606, 18160, 538, 519, 1920, 563, 268, 6153, 2816, 267, 18160, 267, 3206, 596, 1223, 10544, 519, 12904, 609, 707, 726, 4536, 563, 763, 21519, 568, 4356, 1049, 267, 689, 1022, 540, 1585, 4025, 3957, 609, 513, 5664, 4400, 4436, 12045, 540, 552, 14852, 523, 9497, 1729, 11700, 846, 610, 3295, 609, 6149, 257, 5148, 1294, 32489, 19985, 23415, 267, 543, 910, 523, 269, 634, 834, 534, 5393, 10995, 1268, 257, 2631, 568, 606, 3134, 7716, 540, 15751, 18160, 563, 272, 4415, 606, 2376, 563, 268, 1323, 5393, 10995, 1268, 563, 268, 2051, 636, 2692, 630, 320, 1268, 17548, 519, 6654, 994, 268, 9745, 670, 3471, 267, 18536, 267, 9375, 630, 1220, 274, 1070, 968, 292, 14852, 5608, 538, 9218, 540, 1977, 7731, 18780, 267, 4320, 476, 272, 267, 1715, 3840, 4975, 281, 10228, 2160, 4964, 267, 9890, 25835, 267, 2985, 476, 276, 1240, 912, 268, 476, 272, 269, 4436, 543, 6014, 630, 2026, 327, 5287, 1794, 545, 2567, 4356, 1049, 2012, 689, 1022, 540, 1585, 4025, 3957, 609, 513, 5664, 4400, 4436, 12045, 540, 552, 14852, 523, 2048, 1729, 11700, 846, 610, 3295, 609, 6149, 9957, 769, 519, 796, 3553, 339, 1194, 1514, 2916, 540, 519, 5664, 12698, 1256, 5266, 5634, 17260, 941, 4122, 11303, 609, 6149, 6821, 607, 513, 8878, 1996, 4323, 269, 476, 273, 269, 6014, 630, 2026, 327, 5287, 1794, 545, 2567, 25798, 2012, 7768, 540, 4436, 32489, 2048, 821, 685, 1341, 23415, 2048, 7723, 17483, 268, 968, 292, 14852, 892, 538, 667, 644, 523, 2228, 454, 292, 14852, 544, 1086, 454, 268, 18160, 538, 14470, 21594, 693, 623, 310, 301, 454, 292, 14852, 544, 610, 535, 676, 2631, 454, 292, 14852, 544, 630, 514, 19702, 762, 994, 268, 606, 18160, 630, 534, 5393, 10995, 610, 8797, 1268, 264, 0, 288, 7484, 540, 6995, 538, 519, 6640, 666, 1118, 707, 1554, 811, 4190, 543, 1118, 596, 15508, 6793, 269, 4340, 547, 930, 2090, 267, 621, 2337, 2149, 721, 689, 930, 540, 519, 811, 1271, 1072, 4220, 267, 971, 607, 519, 1981, 540, 6797, 2860, 267, 1826, 476, 273, 3987, 267, 543, 2295, 5821, 269, 24334, 814, 1082, 7907, 269, 4653, 594, 786, 1865, 930, 540, 519, 2640, 540, 6995, 563, 4692, 2333, 1648, 543, 1118, 596, 21273, 454, 290, 4752, 2465, 666, 948, 14867, 9854, 543, 2333, 1648, 2157, 269, 901, 568, 1317, 6995, 3568, 513, 8102, 656, 1572, 14933, 267, 519, 1034, 4922, 1031, 28400, 5562, 6219, 538, 519, 1158, 269, 2991, 596, 4235, 6995, 267, 14933, 8928, 883, 707, 18072, 543, 689, 972, 621, 10301, 707, 2634, 269, 1369, 519, 2634, 267, 30175, 1355, 29620, 519, 5778, 23755, 7576, 657, 728, 269, 1879, 713, 4523, 267, 519, 1297, 540, 824, 30088, 267, 971, 607, 562, 648, 18090, 31058, 543, 22006, 267, 4679, 267, 4611, 538, 2799, 11409, 563, 290, 4752, 2465, 666, 948, 596, 2569, 3170, 454, 290, 25377, 710, 786, 581, 1459, 538, 782, 519, 2472, 596, 786, 1294, 547, 2569, 3170, 269, 898, 568, 835, 540, 519, 2067, 5820, 547, 948, 2569, 3170, 269, 11153, 2090, 723, 3254, 602, 14933, 666, 2333, 707, 10894, 2557, 689, 737, 274, 547, 476, 1015, 2600, 269, 4033, 2090, 723, 3254, 602, 14933, 666, 581, 3226, 5363, 538, 4227, 3170, 538, 476, 1015, 260, 540, 17324, 1004, 543, 476, 3066, 260, 540, 20158, 1004, 269, 1717, 267, 713, 1198, 568, 2693, 547, 581, 4389, 538, 1279, 3856, 6995, 4235, 619, 563, 290, 4752, 2465, 666, 2087, 2168, 8516, 454, 290, 4752, 2465, 4679, 519, 1377, 540, 3134, 710, 31058, 630, 611, 1066, 13824, 264, 538, 707, 1973, 269, 898, 568, 519, 4339, 7146, 1922, 2775, 9449, 602, 22316, 707, 1560, 585, 7920, 2168, 2534, 269, 595, 25377, 710, 5283, 1206, 1560, 3170, 590, 604, 520, 3679, 568, 1031, 607, 1560, 4492, 269, 595, 25377, 710, 666, 2087, 2168, 2773, 676, 606, 3328, 540, 476, 1556, 268, 2420, 10065, 1924, 596, 666, 723, 513, 7484, 540, 2178, 6995, 3368, 606, 5662, 1354, 2469, 547, 519, 15547, 799, 666, 2333, 707, 2168, 4390, 563, 290, 4752, 2465, 3568, 1082, 1898, 5567, 454, 1432, 779, 538, 513, 7484, 540, 6995, 454, 272, 269, 25906, 1993, 15442, 514, 630, 24791, 645, 273, 2567, 476, 1556, 260, 540, 4704, 3232, 6981, 630, 305, 14888, 1916, 273, 269, 23202, 582, 1156, 545, 3679, 630, 341, 9559, 645, 276, 2567, 476, 277, 260, 540, 681, 14888, 563, 274, 1547, 631, 22462, 3150, 543, 8000, 9914, 281, 476, 274, 260, 540, 681, 14888, 563, 275, 269, 13804, 10901, 543, 562, 13519, 514, 630, 341, 9559, 645, 274, 2567, 476, 273, 260, 540, 681, 14888, 563, 10144, 945, 899, 6995, 2356, 4235, 513, 1906, 11680, 540, 6995, 513, 1554, 269, 1452, 5820, 616, 1373, 3773, 547, 519, 1560, 607, 1454, 607, 513, 1268, 568, 6704, 513, 7484, 540, 6995, 563, 290, 4752, 2465, 2337, 2569, 519, 3463, 540, 1826, 476, 273, 3987, 454, 13911, 476, 273, 3987, 568, 513, 2101, 1072, 1966, 602, 27057, 5540, 6634, 540, 1004, 5001, 269, 769, 938, 2197, 267, 621, 568, 2356, 4857, 607, 513, 2068, 9013, 519, 4527, 540, 1973, 4006, 676, 7378, 269, 4658, 945, 4235, 6995, 5781, 723, 513, 3648, 2539, 1981, 540, 3384, 1826, 476, 273, 3987, 269, 5525, 1397, 602, 1004, 945, 4235, 6995, 5781, 723, 513, 476, 2537, 268, 2004, 260, 2539, 1981, 540, 3384, 519, 2068, 563, 7804, 9722, 6995, 666, 2149, 1996, 12216, 779, 543, 12110, 563, 2704, 11533, 779, 568, 513, 31895, 17654, 24255, 3622, 1634, 607, 32408, 5001, 269, 634, 2068, 2356, 5540, 1004, 936, 519, 2085, 540, 476, 4792, 543, 972, 568, 1100, 10826, 585, 519, 2068, 267, 855, 972, 616, 1082, 2081, 547, 2061, 621, 950, 621, 568, 538, 922, 2038, 5933, 269, 13245, 4189, 543, 3635, 666, 2149, 596, 689, 12216, 779, 543, 12110, 269, 1809, 1256, 6704, 6995, 666, 4688, 596, 606, 6909, 2179, 454, 290, 4752, 2465, 666, 2149, 707, 6797, 454, 7312, 6797, 568, 606, 5863, 1418, 269, 634, 6797, 15824, 7366, 540, 1271, 1480, 3252, 269, 11153, 1455, 3676, 3441, 707, 6797, 971, 607, 17537, 267, 9761, 6797, 2068, 267, 543, 1082, 811, 269, 24334, 666, 2149, 707, 6797, 689, 4963, 9071, 2670, 538, 1840, 547, 891, 3676, 1107, 1346, 945, 4235, 476, 275, 610, 811, 11680, 540, 6995, 513, 1554, 723, 606, 476, 3199, 260, 2539, 1981, 540, 3384, 713, 2068, 563, 290, 4752, 2465, 666, 4339, 4965, 543, 1118, 596, 811, 8746, 454, 12831, 1833, 568, 513, 3978, 2790, 4524, 269, 12870, 666, 7494, 2569, 513, 1268, 779, 2168, 2773, 543, 26901, 531, 269, 769, 519, 2136, 2276, 4805, 267, 827, 476, 275, 269, 272, 260, 540, 1004, 7985, 689, 4791, 4965, 269, 769, 513, 12370, 1353, 3370, 538, 476, 1001, 272, 267, 2021, 945, 1743, 1678, 476, 275, 610, 811, 11680, 540, 6995, 513, 1554, 1185, 513, 476, 736, 260, 2539, 1981, 540, 4965, 269, 6271, 1353, 540, 476, 273, 267, 5400, 267, 275, 2190, 1004, 1336, 602, 1346, 945, 1743, 1678, 476, 275, 610, 811, 11680, 540, 6995, 513, 1554, 1185, 513, 476, 7871, 260, 2539, 4960, 540, 12955, 689, 11980, 563, 7804, 9722, 6995, 5781, 666, 2569, 519, 3463, 540, 8482, 454, 2005, 568, 1419, 10645, 602, 14933, 666, 6318, 707, 1973, 2604, 269, 901, 568, 3020, 855, 1152, 4679, 547, 476, 274, 268, 275, 6515, 10774, 326, 269, 1403, 596, 4235, 6995, 5781, 1287, 922, 2360, 3262, 689, 707, 1560, 269, 1403, 596, 723, 1164, 1973, 2604, 267, 596, 1590, 1832, 713, 538, 2247, 1354, 6704, 6995, 269, 24334, 4679, 519, 1981, 540, 2295, 2068, 898, 568, 513, 1455, 31605, 602, 972, 568, 930, 2963, 602, 2021, 4235, 6995, 547, 2569, 741, 1981, 269, 3509, 2090, 849, 1397, 602, 6995, 4235, 619, 723, 513, 476, 736, 260, 2539, 1981, 540, 8482, 563, 290, 4752, 2465, 666, 948, 596, 2661, 3476, 454, 7712, 513, 1268, 945, 10425, 6995, 5781, 568, 1447, 2693, 547, 1205, 1082, 3676, 267, 621, 568, 10924, 602, 6995, 666, 948, 596, 2661, 3476, 269, 11153, 2090, 723, 3254, 602, 1004, 945, 4235, 6995, 723, 513, 2539, 1981, 540, 2669, 269, 5565, 2090, 1336, 602, 6704, 6995, 4389, 519, 1981, 540, 2669, 538, 2367, 676, 476, 736, 260, 543, 538, 2021, 9907, 476, 1240, 547, 476, 2190, 676, 476, 2918, 10065, 589, 476, 736, 4458, 1353, 267, 3226, 29810, 585, 2550, 609, 1826, 476, 273, 3987, 267, 1336, 602, 2550, 609, 1826, 476, 273, 3987, 945, 1743, 1678, 6995, 5781, 1185, 513, 476, 1789, 260, 2539, 1981, 540, 2669, 563, 9596, 513, 5618, 540, 6995 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 606, 16315, 602, 649, 1489, 519, 2797, 6859, 540, 602, 2197, 2223, 623, 895, 1767, 267, 4946, 602, 3624, 779, 16727, 5029, 2358, 9730, 1131, 1450, 9845, 547, 3717, 741, 8186, 693, 2046, 19014, 563, 293, 745, 1598, 566, 1851, 1480, 2924, 14540, 814, 1044, 2679, 909, 585, 1296, 269, 4340, 547, 513, 2487, 1867, 676, 2549, 333, 17965, 4139, 267, 519, 1480, 2924, 3510, 538, 3624, 814, 711, 4824, 2094, 519, 476, 1220, 279, 14400, 10632, 269, 634, 2048, 641, 2287, 685, 540, 519, 2197, 16219, 1287, 814, 711, 3144, 1747, 2901, 267, 2687, 547, 1082, 24319, 563, 4263, 519, 1482, 942, 267, 811, 982, 513, 2929, 772, 344, 724, 2720, 616, 2028, 539, 538, 865, 10777, 556, 268, 25531, 13122, 538, 519, 4457, 11662, 540, 2473, 514, 10202, 836, 269, 1703, 723, 1044, 5359, 540, 7142, 10322, 559, 5314, 543, 16377, 267, 7142, 1418, 16276, 267, 543, 25711, 267, 799, 19864, 3954, 625, 269, 5274, 7126, 13772, 543, 930, 5375, 6608, 616, 6340, 540, 2048, 2102, 17462, 17483, 4002, 11728, 267, 9167, 4914, 26110, 941, 4397, 547, 1265, 1455, 2666, 593, 2436, 547, 6443, 519, 2475, 21445, 20320, 7911, 22574, 540, 519, 21396, 563, 7212, 519, 9167, 814, 3144, 968, 7224, 3375, 892, 593, 2436, 547, 6494, 1022, 540, 922, 13222, 547, 19864, 267, 968, 320, 1455, 3864, 1935, 1131, 581, 3810, 267, 3810, 5227, 5608, 513, 9972, 9167, 4013, 5143, 1065, 13024, 2063, 3018, 267, 17782, 519, 12909, 1223, 2693, 1205, 30255, 2016, 519, 18312, 5784, 1851, 4759, 2829, 563, 1103, 519, 1439, 267, 2705, 267, 1310, 6266, 540, 6846, 689, 9167, 1698, 8558, 267, 519, 666, 814, 1044, 14736, 539, 1524, 519, 4155, 269, 3143, 1455, 9167, 3375, 593, 513, 20320, 7911, 22574, 568, 2693, 713, 3018, 267, 543, 519, 4901, 568, 2693, 547, 759, 16577, 538, 4571, 11219, 534, 4231, 538, 922, 2407, 652, 563, 30051, 543, 5333, 723, 1201, 11712, 689, 17444, 8387, 856, 540, 519, 2680, 865, 2484, 269, 1280, 3943, 5518, 2506, 28609, 5839, 1258, 267, 711, 11488, 606, 4013, 15518, 566, 547, 519, 16727, 10632, 568, 968, 3286, 13513, 9731, 15703, 9167, 4914, 26110, 723, 6700, 602, 621, 779, 1732, 585, 3864, 14761, 547, 3717, 856, 593, 1480, 2924, 2152, 1247, 1373, 593, 519, 2666, 538, 3624, 563, 31936, 267, 513, 20320, 7911, 22574, 568, 1152, 519, 968, 331, 7660, 4781, 5608, 1354, 2477, 6430, 547, 2061, 741, 1378, 9845, 689, 12721, 538, 519, 21396, 563, 292, 2416, 1259, 267, 519, 7145, 540, 20320, 610, 2407, 8397, 7911, 20799, 1206, 540, 519, 16727, 10632, 568, 513, 2339, 540, 930, 7521, 563, 3719, 609, 519, 1699, 547, 532, 543, 8389, 532, 1851, 4759, 2829, 267, 519, 1292, 5048, 513, 20320, 7911, 22574, 568, 9277, 547, 3035, 1107, 513, 8087, 267, 2312, 6450, 8123, 1107, 814, 2907, 1044, 19847, 563, 288, 5048, 676, 7108, 2006, 590, 778, 338, 281, 13028, 12539, 15299, 454, 9596, 875, 649, 666, 3035, 2121, 25179, 3327, 609, 12539, 15299, 1107, 1700, 938, 1382, 602, 3631, 519, 2121, 25179, 1942, 7455, 2066, 2789, 6080, 269, 8437, 3371, 3436, 11417, 763, 9167, 779, 2856, 540, 24973, 24228, 585, 4745, 3853, 267, 971, 607, 585, 519, 2022, 1790, 663, 2438, 6051, 267, 1223, 581, 1031, 1586, 952, 519, 6388, 540, 519, 6051, 10325, 568, 513, 1967, 267, 519, 1025, 665, 779, 9483, 30934, 14529, 23383, 22918, 15714, 328, 1767, 593, 11728, 269, 634, 2604, 568, 1631, 593, 1804, 23700, 540, 9167, 2724, 547, 946, 519, 6051, 7482, 3927, 563, 31323, 1876, 16234, 6603, 606, 6876, 593, 519, 9167, 4341, 1504, 585, 3059, 1543, 543, 2533, 267, 6101, 2213, 676, 519, 10073, 538, 519, 3056, 25931, 12233, 269, 634, 19847, 1257, 593, 519, 7913, 7896, 2920, 4607, 3376, 1489, 538, 519, 4835, 2344, 12233, 630, 8379, 4596, 264, 593, 13638, 267, 1739, 606, 6876, 13264, 1042, 676, 519, 1291, 7858, 328, 1807, 2441, 601, 5576, 531, 12047, 846, 563, 20059, 532, 538, 3059, 1983, 786, 581, 2629, 952, 2342, 6499, 547, 18534, 1901, 922, 2804, 2990, 543, 5150, 922, 1747, 538, 519, 2104, 2518, 1871, 5832, 267, 2872, 543, 5647, 5515, 723, 1767, 267, 8015, 606, 5571, 1983, 17732, 538, 519, 5823, 563, 19445, 7939, 543, 10509, 16285, 786, 581, 1851, 5333, 779, 3059, 14422, 950, 621, 3217, 936, 519, 15914, 9167, 7027, 24164, 538, 519, 1101, 3368, 540, 476, 1708, 273, 269, 968, 763, 5488, 649, 1847, 267, 519, 1447, 519, 2475, 23766, 786, 581, 2111, 547, 25211, 2223, 1767, 3943, 1298, 2077, 631, 7968, 543, 3059, 11285, 10218, 324, 4678, 558, 2041, 563, 293, 8896, 786, 849, 1394, 519, 3864, 8189, 538, 8165, 17717, 543, 21108, 513, 968, 14683, 892, 1377, 540, 20440, 950, 621, 3217, 593, 519, 3943, 9167, 7027, 3465, 19409, 538, 5130, 585, 3670, 3275, 267, 1767, 3943, 11982, 10579, 7325, 1329, 9324, 768, 663, 773, 269, 661, 7838, 3722, 30888, 5333, 5359, 563, 26542, 268, 866, 13995, 3366, 547, 2799, 12674, 19718, 476, 736, 2395, 1354, 543, 476, 2412, 2395, 1310, 621, 729, 5189, 538, 2477, 609, 2539, 31032, 8584, 2071, 12674, 3795, 267, 2687, 547, 513, 9781, 1353, 3370, 538, 634, 31102, 5398, 2657, 4760, 563, 1103, 824, 3377, 267, 519, 1007, 10089, 326, 4115, 2229, 786, 15974, 513, 968, 854, 3728, 892, 1007, 1184, 602, 1058, 948, 1924, 325, 807, 12740, 922, 1654, 1729, 543, 12260, 519, 1376, 540, 30240, 3345, 24765, 8205, 779, 9167, 1569, 542, 16395, 267, 31697, 779, 1007, 6305, 14012, 267, 17340, 559, 8891, 28325, 267, 814, 5143, 519, 11038, 8648, 269, 634, 23318, 729, 20888, 676, 4787, 641, 16660, 563, 8601, 606, 4505, 3375, 711, 547, 6085, 267, 20622, 2342, 267, 519, 12666, 2797, 1895, 538, 519, 3864, 12057, 267, 3357, 856, 538, 1489, 540, 741, 4759, 5428, 28626, 30355, 25474, 1310, 519, 30355, 752, 4987, 2533, 31002, 621, 607, 968, 3847, 26310, 17119, 1235, 9731, 2704, 3316, 807, 2488, 968, 1410, 4003, 958, 4057, 892, 1569, 547, 12680, 2126, 585, 4961, 267, 20823, 2063, 856, 540, 476, 6246, 824, 3864, 543, 5375, 2477, 267, 2687, 547, 519, 3864, 25304, 540, 674, 19910, 9615, 24727, 563, 2793, 15674, 14199, 4937, 808, 839, 853, 565, 1084, 6199, 814, 4294, 547, 1831, 16157, 779, 1985, 3844, 4871, 17294, 267, 646, 1767, 593, 13638, 267, 9870, 2055, 827, 519, 4871, 779, 7115, 689, 519, 2229, 952, 646, 941, 547, 581, 12912, 269, 853, 565, 1084, 6199, 543, 1010, 1292, 15180, 585, 519, 2816, 267, 7439, 2471, 7813, 1244, 14280, 17294, 594, 6767, 654, 1245, 523, 645, 5995, 267, 1312, 1767, 789, 1185, 1044, 9415, 676, 519, 2229, 547, 4019, 563, 292, 2202, 779, 16160, 14206, 10601, 7526, 8507, 538, 5215, 540, 19726, 540, 6671, 543, 3114, 544, 684, 1431, 546, 22981, 883, 3864, 7297, 269, 4653, 267, 891, 30599, 3429, 9604, 10460, 513, 8594, 547, 1480, 1072, 543, 547, 17535, 2804, 2238, 269, 3767, 267, 811, 982, 2479, 267, 891, 546, 22981, 544, 684, 1431, 1590, 581, 23498, 267, 3081, 631, 7968, 17555, 674, 582, 344, 8615, 563, 12024, 1169, 13638, 267, 2638, 856, 938, 13255, 16684, 585, 513, 5180, 1575, 540, 12353, 3377, 563, 16100, 856, 585, 7498, 268, 3864, 8189, 21470, 6261, 637, 1211, 2605, 753, 7033, 1067, 332, 753, 6585, 2756, 27019, 12401, 1289, 609, 1325, 758, 1744, 12609, 267, 7022, 540, 30505, 2918, 454, 268, 30934, 585, 5851, 16457, 962, 331, 9366, 2977, 753, 5459, 11564, 6115, 454, 268, 3864, 8189, 5518, 772, 3464, 3121, 13153, 3541, 2274, 344, 523, 543, 4400, 11724, 894, 8277, 335, 16907, 22641, 7119, 538, 8109, 26844, 27169, 454, 21366, 616, 519, 2278, 779, 563, 314, 10955, 1243, 676, 2098, 528, 534, 7101, 657, 822, 331, 329, 5271, 545, 270, 7705, 13177, 316, 0, 1607, 6648, 630, 3036, 294, 1100, 269, 476, 19442, 264, 729, 1101, 3370, 538, 519, 1101, 7160, 540, 4972, 531, 667, 527, 2906, 538, 476, 6642, 277, 269, 898, 568, 6394, 538, 912, 268, 4427, 2425, 550, 21820, 540, 4972, 531, 667, 527, 2906, 454, 268, 7216, 7638, 572, 630, 5002, 271, 994, 268, 32213, 7638, 572, 630, 4489, 280, 994, 268, 4347, 514, 1438, 7638, 572, 630, 3707, 271, 994, 268, 12246, 16303, 9990, 11730, 476, 3953, 267, 2985, 476, 15647, 454, 268, 8738, 31683, 9990, 267, 11730, 476, 1839, 454, 294, 858, 523, 568, 606, 11464, 945, 1185, 3893, 15166, 5268, 1227, 883, 7963, 269, 1261, 2451, 519, 3028, 543, 968, 20852, 6720, 2465, 5608, 2713, 607, 513, 5065, 538, 513, 6552, 14860, 269, 589, 2481, 568, 3710, 972, 540, 26843, 2326, 267, 543, 950, 621, 28377, 8938, 19317, 27142, 616, 546, 27547, 269, 717, 858, 523, 568, 1336, 4666, 9944, 606, 2025, 7504, 3670, 5195, 1524, 519, 14860, 269, 1809, 513, 10828, 14340, 1851, 519, 27142, 540, 513, 812, 593, 513, 1395, 560, 9317, 7504, 9870, 519, 15372, 543, 6117, 873, 547, 3106, 269, 769, 513, 8049, 22509, 17495, 12976, 540, 968, 763, 21001, 2193, 540, 8830, 684, 13225, 698, 520, 892, 538, 634, 808, 21819, 3883, 646, 814, 10710, 513, 1390, 1082, 540, 873, 269, 717, 858, 523, 779, 7963, 568, 6976, 563, 8450, 849, 968, 2414, 581, 674, 6150, 585, 13129, 892, 538, 30577, 24079, 689, 519, 22193, 267, 827, 5839, 4504, 9655, 808, 749, 718, 644, 514, 945, 849, 2048, 2998, 525, 6720, 2465, 8730, 2713, 607, 513, 4057, 5065, 4095, 563, 1607, 6648, 814, 711, 9676, 519, 3007, 540, 1082, 540, 519, 13915, 269, 1717, 267, 12448, 18999, 630, 7277, 275, 268, 4489, 273, 1070, 519, 10564, 267, 16159, 267, 543, 10404, 267, 945, 5206, 606, 2038, 2689, 540, 4972, 531, 667, 527, 2906, 538, 7043, 2006, 779, 18225, 538, 5239, 476, 6642, 277, 267, 29499, 912, 763, 1650, 540, 717, 858, 523, 267, 945, 729, 7745, 543, 771, 6588, 1027, 267, 543, 10710, 513, 2898, 24781, 693, 519, 13258, 540, 1010, 1378, 1272, 267, 543, 945, 568, 1631, 26902, 5792, 676, 519, 25165, 630, 514, 19377, 264, 568, 17709, 540, 645, 4958, 19134, 324, 563, 1607, 30590, 27411, 7204, 267, 945, 607, 16452, 25599, 11089, 2798, 856, 630, 335, 269, 476, 11463, 264, 729, 2048, 320, 1390, 23507, 337, 540, 19134, 324, 779, 14973, 1790, 24602, 14235, 543, 8941, 540, 2836, 4613, 1014, 5599, 1272, 19028, 289, 517, 18081, 667, 984, 337, 19902, 630, 335, 269, 20385, 264, 10530, 3515, 689, 519, 6648, 607, 606, 1383, 540, 875, 281, 2048, 2091, 568, 11324, 4240, 689, 4742, 6965, 676, 519, 4367, 540, 930, 1651, 784, 745, 748, 2262, 685, 912, 2507, 5445, 6659, 513, 11454, 547, 519, 2199, 2696, 2676, 4517, 26151, 782, 6073, 540, 5667, 822, 712, 344, 1919, 454, 26796, 1010, 26749, 267, 543, 2813, 20577, 2676, 4517, 6926, 342, 883, 513, 598, 577, 543, 536, 6548, 513, 11350, 7498, 3080, 17648, 602, 646, 568, 13288, 547, 2048, 12584, 822, 712, 344, 685, 543, 2048, 321, 6548, 9957, 1809, 667, 984, 872, 598, 1027, 525, 602, 2048, 11004, 568, 606, 2093, 1369, 519, 4062, 799, 1522, 723, 1044, 1500, 883, 513, 6648, 19028, 4517, 538, 476, 6245, 271, 654, 9950, 13034, 523, 2917, 267, 945, 2968, 513, 1390, 23507, 337, 540, 27411, 7204, 267, 1572, 713, 2048, 320, 9490, 543, 3001, 1650, 19028, 24687, 593, 519, 7956, 454, 314, 17138, 316, 1703, 568, 1100, 16315, 1946, 27411, 7204, 8359, 519, 2012, 267, 543, 538, 1249, 621, 568, 711, 1031, 538, 519, 6648, 281, 519, 16502, 568, 2141, 5219, 547, 1175, 607, 2048, 515, 19028, 314, 18118, 476, 272, 316, 1955, 27146, 529, 5824, 585, 2048, 1103, 519, 1101, 1747, 20371, 515, 729, 968, 321, 6593, 892, 769, 713, 2796, 267, 6666, 328, 1229, 267, 27226, 540, 1010, 10243, 607, 606, 11464, 563, 2704, 770, 1515, 14355, 11339, 281, 634, 946, 540, 519, 2262, 2048, 321, 6593, 685, 538, 713, 2796, 24283, 689, 519, 2025, 6165, 267, 538, 519, 2038, 476, 1240, 628, 2540, 267, 540, 519, 771, 6588, 1027, 11464, 779, 18156, 1373, 7745, 267, 676, 606, 6186, 537, 17243, 1107, 711, 267, 607, 513, 4341, 267, 1010, 8165, 18156, 267, 855, 1010, 2048, 323, 816, 18156, 8730, 513, 6094, 22850, 1512, 269, 1496, 288, 297, 310, 2639, 314, 18118, 476, 276, 316, 631, 1380, 592, 2006, 7332, 563, 314, 18118, 476, 277, 316, 519, 717, 4768, 328, 27142, 634, 717, 4768, 328, 949, 1134, 581, 519, 717, 4768, 328, 717, 18553, 5211, 538, 519, 1858, 540, 918, 6373, 517, 267, 32065, 28393, 806, 2673, 547, 519, 18310 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4547, 609, 621, 519, 654, 14899, 268, 280, 9682, 585, 11465, 2483, 763, 1739, 3923, 267, 519, 8331, 14361, 834, 290, 817, 7236, 257, 786, 1118, 1010, 476, 14695, 628, 543, 3803, 8574, 676, 21275, 781, 4102, 7599, 21419, 1547, 4429, 763, 14361, 6611, 311, 22900, 2475, 2754, 1500, 513, 3811, 2571, 13941, 593, 3047, 267, 10943, 14414, 1524, 1055, 519, 5032, 540, 7013, 4993, 683, 320, 1862, 0, 4047, 22483, 543, 654, 21822, 26614, 454, 19102, 1162, 538, 1973, 26307, 723, 1044, 4767, 538, 3425, 950, 6995, 568, 1786, 14954, 676, 519, 14495, 1505, 269, 634, 3483, 540, 713, 1353, 729, 547, 6218, 952, 4758, 909, 7969, 6995, 1522, 2569, 1973, 8501, 2157, 563, 292, 26663, 21144, 2343, 30649, 5866, 2438, 1762, 2937, 9038, 267, 1310, 513, 476, 274, 22173, 15977, 630, 13993, 1070, 941, 14477, 8655, 547, 1614, 1114, 1036, 6036, 540, 6995, 4616, 281, 17611, 637, 810, 630, 292, 1070, 4779, 15939, 630, 300, 1070, 543, 1100, 6995, 267, 855, 7401, 630, 307, 1040, 634, 3328, 6995, 4616, 1282, 6304, 630, 296, 264, 729, 476, 274, 269, 272, 1341, 25773, 476, 272, 269, 273, 543, 476, 273, 269, 279, 1341, 25773, 476, 272, 269, 272, 11680, 829, 1554, 585, 17611, 637, 810, 543, 4779, 15939, 1895, 6606, 630, 525, 26078, 810, 281, 476, 1839, 268, 3374, 16720, 11305, 1575, 282, 4779, 15939, 281, 476, 2412, 268, 2004, 16720, 11305, 1575, 1040, 11192, 8501, 267, 31613, 268, 3273, 6856, 565, 267, 25928, 268, 3273, 6856, 565, 543, 27831, 1938, 941, 6027, 5216, 2053, 1282, 519, 1353, 269, 26678, 4806, 267, 4568, 4616, 267, 7296, 6208, 267, 3075, 946, 267, 543, 10236, 6248, 1239, 941, 849, 6592, 563, 763, 2242, 4767, 538, 16796, 8501, 5834, 1063, 15977, 543, 6304, 941, 711, 19250, 1114, 538, 782, 2516, 269, 634, 2242, 941, 476, 271, 269, 271, 6515, 565, 15828, 630, 307, 1070, 1341, 271, 269, 4905, 6515, 565, 15828, 630, 292, 264, 543, 1341, 271, 269, 4962, 6515, 565, 15828, 630, 300, 264, 585, 2698, 16796, 8501, 282, 476, 271, 6515, 565, 15828, 630, 307, 1070, 910, 271, 269, 6349, 6515, 565, 15828, 630, 292, 264, 543, 910, 271, 269, 476, 6734, 6515, 565, 15828, 630, 300, 264, 585, 31613, 4211, 282, 910, 271, 269, 1724, 6515, 565, 15828, 630, 307, 1070, 1341, 271, 269, 6349, 6515, 565, 15828, 630, 292, 264, 543, 910, 271, 269, 476, 4962, 6515, 565, 15828, 630, 300, 264, 585, 25928, 4211, 269, 5395, 636, 27831, 1938, 4951, 513, 1713, 2333, 1282, 6304, 630, 303, 2999, 476, 271, 269, 4905, 676, 30654, 264, 538, 782, 2516, 609, 513, 1689, 540, 476, 271, 269, 1240, 6515, 565, 15828, 267, 476, 271, 269, 1240, 6515, 565, 15828, 543, 476, 271, 269, 2420, 6515, 565, 15828, 267, 585, 7401, 267, 17611, 637, 810, 543, 4779, 15939, 1895, 6606, 563, 763, 2164, 5815, 602, 6995, 1786, 14954, 538, 519, 7969, 1259, 1281, 711, 7369, 1973, 2157, 540, 2698, 8501, 267, 31613, 268, 3273, 6856, 565, 543, 25928, 268, 3273, 6856, 565, 267, 2094, 1100, 1713, 3604, 941, 4767, 538, 891, 1973, 6724, 1310, 513, 476, 277, 22173, 2736, 689, 6995, 4616, 269, 0, 763, 2376, 849, 8711, 519, 1082, 1114, 2010, 540, 1480, 3961, 1759, 593, 14940, 267, 5198, 267, 2085, 267, 14920, 267, 4008, 267, 1893, 267, 1362, 267, 2168, 640, 3924, 607, 1134, 607, 4984, 269, 3474, 573, 625, 12909, 827, 519, 1114, 6805, 1004, 4092, 538, 5245, 543, 875, 972, 814, 1044, 9840, 3823, 519, 6805, 3961, 269, 634, 2278, 849, 12909, 513, 2370, 827, 1010, 5198, 799, 568, 16971, 5025, 978, 5979, 268, 2026, 1014, 8241, 17929, 646, 15109, 5128, 1312, 3043, 543, 7489, 269, 1717, 267, 646, 5170, 547, 2446, 602, 646, 568, 8572, 547, 3717, 519, 16971, 1893, 543, 646, 568, 711, 4448, 547, 1010, 18577, 3338, 269, 3474, 573, 625, 6645, 519, 5467, 540, 519, 7092, 602, 6805, 1004, 723, 8854, 998, 1813, 547, 7130, 267, 30886, 267, 543, 811, 865, 17181, 602, 6818, 1256, 2221, 630, 13640, 611, 625, 267, 476, 1220, 277, 1916, 4322, 1079, 2474, 723, 1044, 1031, 30430, 543, 267, 789, 666, 581, 5916, 547, 20301, 1896, 10096, 269, 2026, 513, 2339, 540, 1249, 267, 891, 1079, 1913, 1404, 513, 1390, 1909, 538, 1818, 7415, 3604, 538, 938, 3232, 2729, 269, 11557, 7081, 568, 513, 17122, 1448, 538, 1373, 540, 3425, 2429, 1272, 269, 11557, 7081, 14122, 3023, 267, 4008, 5107, 543, 9163, 267, 25055, 543, 605, 21551, 269, 901, 7613, 568, 8915, 538, 938, 4555, 267, 4978, 267, 8456, 267, 2418, 267, 9021, 543, 3347, 563, 5882, 540, 12920, 532, 3118, 543, 519, 1930, 10678, 540, 519, 1650, 267, 799, 17772, 2354, 525, 519, 3375, 1063, 519, 1762, 812, 543, 519, 9176, 4807, 7996, 585, 741, 5721, 693, 519, 3760, 540, 8050, 267, 568, 554, 9994, 539, 676, 519, 9814, 543, 3762, 513, 1279, 9434, 12705, 593, 922, 3988, 685, 2247, 563, 763, 4563, 12280, 3361, 1483, 17732, 540, 4074, 538, 782, 3864, 2477, 269, 8092, 331, 3581, 15189, 519, 8375, 7569, 540, 13848, 676, 519, 4600, 269, 769, 1082, 3864, 2477, 32066, 15148, 1206, 13264, 856, 693, 519, 1439, 540, 454, 301, 18036, 267, 6424, 9652, 267, 6276, 29336, 543, 824, 3109, 22457, 20903, 338, 538, 4993, 779, 5842, 2372, 550, 514, 1533, 7890, 892, 630, 301, 344, 26474, 267, 476, 1220, 274, 1040, 14118, 10642, 676, 519, 9097, 2797, 17695, 626, 645, 24427, 568, 3490, 593, 31767, 19072, 7776, 626, 13624, 523, 21442, 454, 763, 3877, 540, 519, 6554, 4566, 723, 1044, 6854, 5728, 1813, 547, 3354, 4145, 269, 4475, 1870, 15364, 540, 519, 3354, 5234, 538, 519, 6519, 5600, 1797, 519, 20291, 3646, 543, 1797, 676, 1949, 543, 10986, 547, 1118, 2386, 0, 3528, 1325, 1460, 10753, 2033, 269, 18065, 269, 6583, 331, 2213, 693, 13638, 267, 5412, 476, 2918, 628, 476, 1001, 278, 267, 476, 866, 281, 6349, 281, 7367, 6751, 269, 589, 4015, 540, 5907, 3334, 602, 723, 1044, 19632, 543, 10562, 547, 1685, 513, 2016, 1599, 568, 4122, 5219, 547, 607, 513, 5547, 269, 634, 2262, 5547, 24283, 689, 519, 1249, 602, 3167, 1379, 1590, 2095, 689, 519, 2318, 12363, 540, 513, 1379, 2707, 998, 835, 610, 811, 5907, 3457, 543, 1394, 547, 519, 2942, 12363, 540, 513, 1379, 2707, 267, 7551, 8108, 513, 5547, 269, 1403, 519, 4296, 1063, 606, 5907, 3926, 543, 2901, 519, 2318, 610, 2942, 23525, 540, 513, 1379, 3761, 616, 29169, 267, 519, 5547, 786, 581, 7745, 543, 519, 3926, 786, 711, 1599, 563, 3528, 7261, 686, 16279, 3057, 329, 565, 12578, 269, 16359, 269, 6583, 331, 2213, 693, 13628, 267, 4873, 476, 3066, 628, 476, 1001, 278, 267, 476, 4905, 281, 4962, 281, 1556, 7537, 269, 16359, 3977, 29156, 950, 519, 1379, 3761, 6453, 568, 23060, 585, 2901, 3126, 610, 6252, 2914, 1600, 16546, 269, 18564, 602, 513, 6252, 268, 8588, 5179, 20205, 2773, 9838, 547, 513, 3126, 268, 8588, 5179, 4881, 693, 7466, 519, 1379, 3761, 6453, 563, 3528, 23770, 3733, 26713, 269, 12810, 269, 15618, 693, 13723, 267, 5437, 476, 5400, 628, 476, 1001, 278, 267, 476, 2641, 281, 4391, 281, 6812, 6751, 269, 3767, 779, 519, 1187, 8631, 269, 7388, 1154, 606, 5122, 4702, 4110, 543, 1287, 3478, 513, 2816, 538, 519, 2361, 1797, 596, 786, 1294, 513, 2603, 513, 2603, 513, 2603, 540, 891, 1085, 24136, 269, 898, 779, 1271, 547, 1174, 4010, 1018, 568, 2469, 593, 609, 891, 269, 2755, 789, 666, 630, 663, 786, 264, 1205, 1360, 1950, 267, 891, 616, 1175, 513, 1906, 540, 519, 1455, 12449, 547, 1205, 707, 3723, 532, 593, 563, 3528, 590, 26474, 30960, 269, 18065, 269, 15618, 693, 11728, 267, 5437, 476, 6187, 628, 476, 1001, 278, 267, 476, 2641, 281, 1626, 281, 1626, 6751, 269, 634, 1523, 540, 1950, 25317, 12857, 513, 19618, 6041, 585, 27856, 267, 29522, 267, 543, 1802, 4701, 267, 17929, 513, 5547, 779, 4908, 3210, 689, 3403, 547, 3977, 666, 581, 5462, 1210, 918, 309, 299, 543, 918, 12710, 267, 1141, 1142, 3693, 568, 8655, 519, 3617, 25317, 269, 634, 1883, 13429, 547, 713, 1448, 568, 602, 519, 3403, 547, 519, 5547, 1590, 2874, 9003, 540, 9823, 543, 5924, 18980, 18042, 6786, 269, 3767, 267, 713, 2079, 568, 581, 6905, 547, 1331, 17062, 3403, 6786, 676, 1210, 519, 6310, 2553, 540, 5487, 2897, 21810, 563, 3528, 10370, 23135, 27254, 710, 269, 12810, 269, 15618, 693, 10732, 267, 5437, 476, 4962, 628, 476, 1001, 278, 267, 476, 736, 281, 2537, 281, 4510, 6751, 269, 1306, 5941, 4505, 267, 513, 3059, 5547, 4564, 543, 6354, 12885, 1344, 23876, 607, 3167, 6786, 602, 666, 8263, 835, 540, 1079, 28696, 1107, 7954, 30041, 6453, 630, 528, 966, 9536, 264, 543, 7954, 268, 869, 6453, 630, 528, 717, 21254, 1040, 589, 3059, 5547, 3340, 513, 1379, 3761, 602, 666, 3132, 891, 1079, 28696, 267, 543, 891, 1482, 3761, 28696, 616, 849, 1031, 547, 31391, 1344, 538, 519, 1106, 540, 1079, 15581, 267, 610, 9352, 6786, 269, 4935, 267, 604, 513, 2016, 5547, 6843, 568, 693, 966, 9536, 267, 1287, 602, 5365, 568, 1767, 547, 4163, 513, 7954, 2048, 272, 685, 282, 952, 519, 6843, 568, 693, 717, 21254, 267, 1287, 519, 6843, 11438, 513, 7954, 2048, 271, 9957, 634, 3334, 538, 3059, 11387, 616, 2241, 593, 270, 4752, 17176, 602, 666, 1780, 7954, 2048, 272, 685, 543, 7954, 2048, 271, 685, 6786, 689, 835, 5547, 6843, 547, 1776, 269, 4107, 3335, 267, 891, 17176, 616, 11231, 547, 9192, 3403, 6786, 547, 3132, 606, 3977, 5365, 2687, 547, 2596, 7954, 3347, 269, 1280, 1383, 267, 835, 1134, 8153, 7954, 5547, 568, 606, 6730, 10766, 602, 10905, 1079, 3403, 6786, 547, 3132, 606, 3977, 602, 568, 519, 7954, 6730, 540, 519, 11378, 630, 328, 4318, 1421, 952, 1312, 3403, 272, 543, 3403, 273, 616, 513, 2048, 272, 8730, 1287, 519, 3977, 568, 513, 2048, 272, 685, 1916, 3528, 590, 26474, 30960, 269, 12810, 269, 15618, 693, 14349, 267, 5437, 476, 6860, 628, 476, 1001, 278, 267, 476, 736, 281, 6734, 281, 2918, 6751, 269, 769, 1840, 547, 2542, 713, 4051, 762, 621, 949, 581, 513, 1434, 2856, 585, 596, 547, 1224, 1250, 824, 4051, 762, 834, 19491, 16361, 3334, 543, 1018, 789, 798, 257, 547, 1205, 513, 1434, 1620, 540, 1018, 596, 616, 3257, 950, 2679, 513, 1788, 563, 3528, 10370, 23135, 27254, 710, 269, 18065, 269, 15618, 693, 13628, 267, 5437, 476, 6349, 526, 476, 1001, 278, 267, 476, 866, 281, 3374, 281, 3374, 6751, 269, 18329, 6786, 616, 6719, 2901, 676, 6453, 610, 1699, 269, 634, 31764, 8817, 4162, 540, 6453, 610, 1699, 6786, 666, 1491, 513, 1297, 540, 3029, 1519, 9823, 267, 18980, 18042, 630, 10193, 1634, 607, 8028, 1070, 4009, 5951, 267, 5276, 15155, 1186, 267, 543, 13942, 12296, 1110, 4327, 6786, 269, 16429, 639, 18042, 6786, 616, 5310, 519, 1034, 1271, 5365, 3029, 2094, 2899, 519, 5547, 3210, 547, 18980, 18042, 6786, 616, 1634, 267, 519, 1267, 666, 581, 20902, 547, 3589, 875, 519, 5547, 786, 4431, 547, 513, 1454, 3152, 3099, 540, 6786, 1210, 519, 6310, 2645, 540, 22263, 543, 5487, 2897, 21810, 563, 3528, 25014, 3821, 631, 790, 4068, 269, 667, 1675, 324, 269, 15618, 693, 10732, 267, 5239, 476, 3066, 628, 476, 1001, 278, 267, 476, 1240, 281, 4375, 281, 1704, 6751, 269, 590, 2438, 13503, 528, 1019, 3941, 666, 581, 2966, 547, 3132, 1463, 1699, 630, 17584, 264, 950, 7298, 1769, 267, 18342, 6771, 630, 7644, 1070, 610, 22292, 630, 10013, 264, 1648, 16716, 873, 269, 1452, 1019, 3941, 616, 1634, 607, 25675, 2281, 543, 616, 519, 4493, 585, 3859, 3167, 1648, 1949, 543, 6337, 839, 832, 269, 8616, 1776, 1106, 540, 26534, 267, 4122, 1031, 538, 5907, 543, 2780, 3937, 267, 32307, 7298, 1769, 610, 16843, 1648, 950, 1699, 10596, 998, 621, 269, 6270, 513, 3926, 568, 519, 5432, 1769, 15041, 9231, 26534, 630, 29612, 1916, 3528, 26450, 4068, 3752, 1052, 269, 667, 1675, 324, 269, 15618, 693, 14349, 267, 5239, 476, 2764, 628, 476, 1001, 278, 267, 476, 1240, 281, 3451, 281, 6349, 6751, 269, 1879, 606, 12746, 5365, 10596, 998, 513, 26534, 5665, 693, 610, 2282, 922, 4464, 2736, 1478, 1448, 267, 519, 5365, 5951, 845, 568, 25302, 269, 901, 1875, 1467, 10846, 2636, 585, 25244, 267, 1629, 617, 1637, 267, 543, 5365, 11544, 269, 769, 1840, 267, 6786, 616, 6383, 693, 2800, 9582, 267, 610, 7533, 23385, 540, 519, 3403, 4908 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 7042, 4322, 15225, 948, 721, 5660, 519, 2189, 5075, 540, 1142, 7376, 269, 5994, 1373, 2111, 547, 1294, 875, 27673, 8709, 717, 26710, 7960, 689, 7206, 2241, 8916, 547, 2870, 11599, 25704, 2407, 540, 7553, 543, 3350, 269, 2107, 1739, 2605, 5866, 918, 1695, 5979, 781, 3460, 607, 1352, 8268, 1200, 3961, 267, 2528, 267, 543, 2123, 9620, 1369, 1200, 1582, 268, 1636, 20137, 269, 6250, 1746, 971, 606, 14266, 2636, 721, 547, 23365, 6000, 538, 519, 7376, 781, 7122, 267, 1565, 811, 827, 873, 982, 952, 649, 1185, 2938, 1367, 4773, 16559, 2066, 1585, 26847, 780, 1692, 798, 1225, 2209, 1711, 891, 2982, 888, 5785, 14945, 10501, 908, 513, 1395, 4919, 14266, 3322, 6297, 1382, 543, 5542, 540, 26620, 602, 1655, 2099, 519, 6074, 7376, 781, 1560, 540, 960, 269, 4354, 2209, 1522, 3442, 547, 1445, 593, 1808, 5712, 267, 6163, 267, 610, 4798, 538, 1931, 547, 2995, 513, 8903, 1650, 269, 1358, 849, 2015, 2188, 899, 2230, 267, 8654, 267, 543, 2095, 865, 8436, 723, 606, 11791, 1995, 1247, 3695, 519, 14266, 269, 1280, 1383, 267, 4952, 9683, 513, 19922, 1141, 11908, 744, 262, 298, 2465, 11738, 781, 7524, 5810, 7930, 1291, 596, 2509, 1200, 7493, 9390, 8916, 1107, 9327, 1405, 602, 1745, 6909, 2496, 4131, 781, 1413, 693, 930, 1483, 3734, 1806, 912, 5785, 21387, 265, 2878, 29445, 32008, 19159, 693, 7720, 7246, 4995, 7467, 540, 7073, 3203, 538, 1715, 3840, 4975, 4843, 606, 3573, 4015, 540, 7671, 32008, 19159, 781, 11265, 6272, 267, 11647, 267, 26911, 4837, 9486, 267, 543, 16493, 269, 901, 4847, 8436, 547, 9787, 519, 4560, 540, 1010, 3860, 3977, 543, 23507, 1010, 5499, 946, 540, 2326, 543, 3029, 563, 265, 2878, 312, 599, 16211, 918, 639, 4821, 281, 5606, 6541, 715, 1115, 1262, 4371, 693, 519, 670, 597, 3333, 1817, 333, 7467, 543, 31493, 20567, 12567, 10268, 1472, 476, 2568, 10367, 267, 18810, 267, 543, 1568, 593, 1957, 17364, 1614, 5756, 540, 5545, 7376, 962, 599, 16211, 918, 639, 4821, 781, 4876, 269, 7348, 619, 941, 26970, 676, 1200, 15040, 1135, 6390, 15956, 267, 30811, 3270, 267, 543, 15138, 5054, 780, 1103, 3932, 267, 1395, 4919, 24218, 2709, 513, 8748, 4316, 547, 5490, 2620, 883, 606, 7376, 781, 1272, 543, 960, 269, 1306, 1647, 1153, 1053, 267, 1620, 891, 5059, 10525, 2337, 22962, 938, 7071, 585, 5159, 262, 11428, 267, 5876, 267, 543, 1764, 593, 2486, 269, 1924, 1985, 942, 596, 3643, 606, 1148, 9754, 610, 19922, 267, 2638, 856, 1022, 21088, 24218, 910, 945, 6487, 267, 6148, 707, 1007, 5172, 7376, 19179, 1080, 6602, 972, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6124, 4658, 676, 8355, 5414, 590, 28225, 267, 5211, 3650, 7734, 267, 476, 13301, 6032, 563, 290, 2086, 10428, 17755, 337, 987, 568, 519, 2278, 540, 4557, 2835, 540, 6965, 267, 1519, 11354, 1290, 525, 547, 9628, 267, 8419, 31888, 267, 18599, 8074, 9248, 267, 543, 1034, 5063, 30619, 281, 31888, 585, 519, 3828, 12351, 11416, 630, 292, 764, 334, 4964, 267, 476, 1001, 277, 1070, 513, 15937, 626, 585, 519, 17240, 12688, 15356, 269, 1261, 814, 4607, 1082, 540, 3013, 779, 2101, 5339, 26065, 585, 1010, 960, 267, 1519, 519, 18301, 2917, 16515, 30835, 13815, 267, 513, 15566, 7335, 19314, 289, 12239, 15562, 8582, 281, 595, 26059, 2207, 12114, 5442, 4753, 10396, 8121, 21020, 2464, 11550, 297, 17614, 281, 28132, 4932, 303, 3036, 14473, 26353, 6730, 654, 3201, 9898, 645, 2894, 297, 4456, 2562, 11083, 5990, 808, 11246, 23360, 631, 27516, 9331, 267, 21832, 962, 3036, 298, 267, 476, 1001, 278, 454, 21579, 15243, 568, 519, 9030, 540, 6341, 15243, 22456, 585, 15339, 543, 5071, 563, 289, 12239, 15562, 8582, 281, 7705, 21984, 560, 1817, 333, 593, 476, 276, 1284, 4060, 267, 476, 1839, 17963, 267, 476, 11260, 25980, 676, 12756, 661, 747, 1817, 333, 693, 932, 17470, 327, 1446, 20155, 267, 5507, 454, 310, 293, 11520, 281, 28982, 7705, 267, 9684, 596, 585, 4947, 2221, 269, 7705, 21984, 560, 1817, 333, 281, 3733, 12257, 269, 654, 293, 11520, 281, 1548, 779, 519, 14266, 596, 786, 581, 6158, 827, 2221, 286, 8121, 281, 634, 14266, 594, 4076, 6074, 568, 513, 1397, 676, 519, 4436, 7376, 12756, 661, 747, 1817, 333, 693, 932, 17470, 327, 1446, 20155, 538, 5101, 5507, 538, 11354, 476, 1001, 277, 269, 898, 729, 1572, 476, 276, 3018, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12507, 4919, 1401, 3031, 1431, 257, 607, 851, 540, 834, 11286, 1315, 26888, 267, 18280, 9233, 267, 1401, 3031, 1431, 1315, 32719, 550, 26888, 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, 3848, 7170, 281, 5440, 673, 11814, 532, 281, 853, 2086, 9990, 910, 10289, 25734, 998, 5403, 720, 2439, 5970, 596, 2479, 4862, 827, 16826, 10655, 286, 898, 781, 513, 2442, 15908, 1141, 1004, 5531, 22827, 609, 1808, 4798, 610, 6272, 789, 899, 269, 2290, 2189, 1259, 547, 2972, 713, 2534, 568, 1572, 834, 9008, 673, 10655, 2437, 1141, 649, 2445, 22827, 1759, 593, 3838, 3584, 3544, 540, 1175, 2477, 610, 942, 5712, 269, 4653, 267, 1577, 781, 4685, 883, 3695, 519, 6249, 540, 661, 12702, 3201, 14510, 998, 2022, 720, 22827, 2439, 5331, 8066, 6263, 4773, 540, 1957, 8876, 3532, 6835, 689, 1472, 519, 1158, 269, 3962, 16826, 4564, 922, 1378, 1650, 267, 2943, 1927, 267, 891, 2984, 666, 4001, 721, 3407, 4245, 827, 9111, 267, 14619, 267, 543, 3160, 2924, 269, 1635, 4742, 22521, 19216, 5059, 593, 7862, 267, 649, 7832, 593, 606, 10578, 3460, 2066, 4529, 543, 21971, 269, 1924, 10544, 707, 3172, 4328, 4837, 267, 543, 1577, 781, 1376, 938, 7045, 2439, 1432, 4010, 798, 649, 1611, 950, 6158, 827, 1412, 3225, 1275, 286, 262, 15439, 2322, 267, 7862, 1797, 8156, 3025, 9425, 267, 7488, 540, 741, 4282, 267, 4978, 267, 610, 5759, 269, 901, 1523, 4249, 513, 1713, 1909, 538, 5935, 7239, 543, 18363, 875, 6608, 960, 269, 1677, 1174, 922, 2956, 1732, 267, 1577, 779, 1413, 693, 930, 11121, 1806, 1336, 593, 22827, 2439, 272, 269, 6468, 781, 7126, 281, 10801, 1686, 267, 2021, 10692, 2182, 585, 741, 1318, 547, 8917, 267, 960, 267, 543, 4309, 2069, 269, 15316, 6082, 723, 9976, 891, 10781, 609, 2027, 22827, 269, 1280, 3236, 267, 519, 7330, 5950, 513, 3126, 16033, 908, 4583, 4775, 13009, 4565, 1794, 619, 971, 607, 19626, 645, 269, 20900, 543, 28266, 20088, 269, 1452, 29752, 2021, 11542, 909, 1996, 8635, 543, 1500, 9434, 2242, 538, 2486, 780, 273, 269, 6406, 7126, 281, 3509, 22827, 5031, 1271, 19325, 538, 3540, 2924, 5322, 5001, 269, 1358, 13686, 2043, 945, 12703, 569, 23647, 585, 7292, 5126, 267, 11806, 266, 2924, 267, 543, 10333, 585, 7606, 609, 9124, 269, 2052, 596, 4952, 2870, 513, 10477, 2458, 720, 10023, 891, 16779, 5515, 286, 1548, 1131, 741, 5916, 5048, 6655, 827, 7862, 2496, 274, 269, 8836, 16844, 281, 3776, 3309, 1158, 29263, 1813, 547, 1114, 5389, 267, 4654, 267, 543, 9821, 269, 2368, 22827, 8661, 18371, 1143, 543, 3895, 9322, 1851, 1585, 2950, 269, 1306, 22521, 19216, 267, 649, 1451, 547, 5660, 1142, 2528, 781, 22464, 1247, 9301, 1455, 2418, 267, 971, 607, 2463, 543, 1620, 1107, 1898, 3334, 540, 7862, 780, 275, 269, 7025, 12983, 281, 8693, 1689, 5540, 1169, 1268, 593, 3047, 267, 855, 1419, 1346, 1034, 7925, 616, 2547, 3743, 585, 4929, 621, 269, 3414, 22827, 18995, 13155, 2249, 267, 5533, 267, 543, 2518, 8337, 267, 649, 3605, 2081, 547, 2149, 938, 4541, 543, 2327, 2104, 5481, 27836, 513, 2635, 1604, 269, 1879, 649, 1491, 1416, 540, 2470, 267, 649, 2259, 1776, 1106, 540, 7862, 1107, 4180, 2200, 2611, 2139, 585, 782, 2713, 7919, 780, 2026, 596, 3136, 707, 3408, 540, 22521, 10655, 10704, 593, 7862, 267, 3314, 602, 891, 2370, 1568, 540, 1148, 4163, 2462, 2093, 4502, 4687, 609, 1920, 543, 2828, 269, 18224, 707, 4015, 23217, 267, 4497, 1866, 538, 7391, 827, 1018, 1142, 16826, 19752, 267, 543, 5000, 873, 547, 6443, 707, 1391, 585, 1620, 543, 5009, 9698, 269, 8414, 10122, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6734, 8734, 476, 1220, 272, 22640, 538, 3013, 267, 11730, 594, 267, 3487, 589, 454, 20779, 7100, 538, 3013, 454, 2421, 5981, 529, 632, 570, 665, 4302, 6807, 454, 24127, 476, 272, 267, 3487, 589, 454, 4456, 32670, 4306, 519, 3209, 3615, 602, 13631, 1250, 3007, 1282, 1250, 3251, 538, 519, 2136, 2276, 267, 4986, 13351, 803, 811, 585, 322, 4601, 982, 519, 2489, 7862, 540, 2175, 269, 594, 11593, 4362, 519, 605, 323, 16406, 3310, 799, 713, 3119, 1249, 5751, 593, 519, 2898, 1576, 540, 2486, 267, 676, 4758, 513, 1978, 4287, 547, 1857, 6644, 267, 543, 513, 1978, 4557, 528, 547, 519, 4031, 282, 676, 18836, 532, 1007, 12366, 338, 547, 519, 12044, 7060, 267, 543, 15116, 6208, 547, 519, 18170, 269, 594, 3432, 1176, 9228, 602, 519, 3310, 540, 713, 1249, 11498, 2484, 3564, 519, 2797, 1915, 543, 519, 4031, 540, 519, 2197, 267, 543, 602, 621, 814, 1100, 1447, 10504, 936, 3540, 2486, 982, 936, 519, 6554, 282, 621, 5932, 8369, 267, 1266, 11367, 27742, 267, 5267, 519, 8723, 2853, 540, 1272, 267, 543, 1110, 5809, 8726, 621, 1281, 711, 3132, 269, 634, 811, 594, 4359, 538, 519, 1353, 540, 1977, 2486, 267, 519, 811, 594, 9228, 602, 519, 7862, 540, 2175, 568, 519, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12749, 673, 11814, 532, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 853, 10102, 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, 7170, 281, 28304, 3281, 14601, 20351, 10263, 3414, 11644, 543, 24238, 692, 1262, 3721, 476, 272, 5093, 25506, 519, 9046, 454, 308, 2955, 602, 31017, 4638, 2623, 610, 3023, 8213, 666, 11874, 1764, 707, 1272, 543, 3347, 269, 1403, 596, 1265, 3054, 8572, 547, 1852, 707, 2712, 2471, 5103, 2942, 4539, 267, 621, 949, 581, 942, 547, 3343, 948, 269, 901, 2376, 786, 1683, 5583, 593, 5883, 891, 5615, 998, 3635, 543, 11009, 2553, 780, 1262, 3721, 476, 273, 5093, 13693, 513, 12333, 454, 11854, 752, 609, 513, 2790, 1072, 3318, 945, 24870, 538, 8156, 4638, 22079, 687, 269, 1358, 666, 2709, 1489, 267, 4879, 267, 543, 10531, 2126, 2994, 269, 2755, 16706, 543, 8026, 11009, 616, 6225, 267, 789, 1058, 9148, 3318, 3797, 2864, 982, 5372, 621, 780, 1262, 3721, 476, 274, 5093, 8073, 606, 11644, 13705, 710, 454, 14946, 513, 5812, 15904, 8430, 3358, 547, 707, 7375, 543, 2168, 5759, 269, 12056, 538, 2834, 9025, 5751, 971, 607, 4881, 267, 10977, 267, 15203, 267, 610, 7098, 984, 923, 13847, 1439, 6973, 1231, 602, 2087, 7099, 543, 2569, 4160, 269, 23848, 2866, 849, 814, 2566, 3146, 12340, 1324, 2640, 269, 5590, 10853, 3853, 543, 2333, 8515, 7930, 936, 942, 780, 1262, 7659, 17785, 4995, 21480, 23736, 693, 2053, 950, 596, 3335, 1995, 2178, 2712, 2471, 547, 4497, 538, 31017, 4638, 2623, 269, 29799, 1346, 25372, 609, 2635, 2238, 780, 1262, 3721, 476, 275, 5093, 6657, 24238, 9828, 454, 24823, 622, 3232, 9066, 7886, 2519, 593, 7244, 543, 11005, 269, 2422, 11461, 1199, 14591, 2139, 2228, 610, 2015, 11504, 1895, 5049, 269, 9861, 1459, 538, 519, 4090, 6971, 14221, 4555, 543, 26351, 2404, 609, 31017, 4638, 2623, 780, 1262, 28223, 4995, 8347, 6220, 10649, 2259, 883, 707, 6296, 269, 18639, 10905, 2168, 2022, 999, 267, 7362, 1740, 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 ]

[ 1996, 21734, 4187, 267, 1883, 5057, 540, 519, 2962, 1544, 585, 519, 6820, 2657, 8232, 3397, 12629, 630, 21203, 6347, 994, 763, 654, 29151, 295, 2535, 919, 538, 519, 1158, 6008, 1359, 9730, 540, 519, 23435, 6347, 267, 9250, 538, 476, 1001, 275, 267, 607, 606, 25129, 269, 634, 23435, 6347, 10872, 568, 513, 4745, 14365, 712, 1063, 519, 2136, 2276, 540, 3013, 543, 811, 982, 476, 2412, 824, 6082, 267, 538, 1840, 547, 3486, 14540, 267, 971, 607, 14959, 267, 519, 654, 29151, 295, 543, 14174, 302, 269, 2060, 21365, 21734, 4187, 1851, 922, 3119, 6859, 267, 713, 10872, 6663, 547, 17108, 3356, 2509, 513, 1158, 602, 568, 1732, 6870, 689, 11763, 2068, 6937, 543, 547, 3895, 1158, 1072, 3354, 607, 606, 3486, 10862, 563, 268, 6820, 11059, 4643, 593, 7537, 305, 630, 1001, 276, 994, 268, 594, 3722, 294, 32505, 7797, 630, 1001, 280, 994, 268, 7537, 305, 6820, 11059, 4643, 631, 261, 292, 630, 1001, 280, 994, 268, 14502, 5618, 593, 1216, 267, 19455, 267, 9882, 543, 16894, 2359, 547, 2061, 5563, 543, 2569, 519, 3262, 540, 21734, 4187, 630, 1708, 271, 994, 268, 4139, 7405, 593, 519, 946, 540, 17059, 15412, 10118, 2066, 519, 1480, 267, 3662, 543, 2030, 9922, 630, 1708, 271, 994, 268, 6820, 24285, 6828, 593, 4165, 574, 17853, 18650, 630, 21923, 294, 994, 268, 21864, 5943, 585, 5698, 593, 21734, 4187, 1107, 1927, 585, 2290, 2657, 630, 1708, 273, 994, 2622, 2657, 9257, 454, 5253, 543, 11982, 9257, 540, 519, 2136, 8315, 454, 2622, 31654, 1682, 9257, 454, 306, 15471, 1996, 21734, 4187, 666, 1152, 581, 6913, 950, 519, 1857, 267, 18915, 543, 2825, 1072, 8128, 2322, 891, 2518, 2994, 883, 1747, 693, 519, 3084, 1377, 563, 2690, 3084, 3662, 1072, 2533, 267, 7598, 519, 654, 29151, 295, 779, 954, 32744, 4441, 3322, 912, 268, 519, 4527, 540, 7850, 9086, 593, 519, 946, 540, 17059, 15412, 10118, 454, 268, 513, 18915, 3924, 799, 568, 1134, 8036, 543, 24892, 676, 1876, 454, 268, 519, 14305, 540, 519, 2556, 2200, 547, 7794, 27259, 7896, 865, 602, 789, 666, 3635, 519, 3617, 8060, 454, 28444, 1005, 519, 10009, 540, 11216, 896, 3617, 9086, 454, 12901, 756, 7821, 616, 711, 513, 20027, 1587, 799, 1058, 581, 11884, 2139, 585, 9042, 543, 946, 269, 4256, 9042, 1058, 581, 16155, 24892, 543, 519, 3892, 540, 4831, 10623, 527, 2472, 16094, 26793, 454, 293, 29183, 17284, 538, 519, 18915, 3924, 454, 763, 18915, 3924, 267, 538, 1312, 922, 1857, 543, 4357, 9922, 267, 814, 513, 2629, 1909, 547, 1404, 538, 29270, 21734, 4187, 267, 3226, 538, 13327, 4370, 519, 13310, 543, 6765, 540, 21734, 2472, 563, 2690, 713, 2601, 267, 519, 654, 29151, 295, 814, 849, 2919, 4808, 593, 519, 27259, 4065, 11759, 15099, 267, 8720, 519, 2596, 30304, 540, 513, 1134, 268, 6716, 2213, 3924, 799, 568, 882, 5050, 593, 1134, 2389, 11712, 543, 5265, 24892, 4648, 563, 11101, 267, 519, 654, 29151, 295, 15156, 606, 3617, 15424, 5943, 547, 2327, 3318, 7881, 543, 1434, 10350, 540, 27259, 7896, 1369, 519, 18915, 3924, 269, 2060, 713, 538, 2247, 267, 519, 25944, 568, 3384, 954, 32744, 4441, 543, 15961, 1644, 547, 519, 8647, 543, 11156, 540, 3084, 543, 6237, 6465, 21881, 27259, 645, 3672, 267, 799, 723, 519, 2556, 3656, 7060, 547, 936, 5408, 5232, 267, 7881, 267, 3318, 17284, 543, 519, 17181, 540, 1346, 4171, 2932, 568, 20025, 563, 1103, 519, 3068, 540, 21734, 4187, 267, 14830, 12579, 616, 851, 540, 519, 3070, 563, 22479, 13369, 20671, 15961, 585, 3084, 27259, 7896, 454, 17220, 17604, 568, 2629, 538, 4543, 3384, 543, 6932, 2477, 547, 3035, 519, 9086, 267, 5989, 543, 1480, 543, 2883, 2200, 2877, 547, 2936, 543, 16783, 609, 519, 654, 29151, 295, 4441, 563, 2026, 513, 1267, 267, 519, 654, 29151, 295, 2488, 11173, 1489, 547, 27259, 7896, 282, 538, 1880, 267, 676, 1797, 540, 519, 14346, 306, 11202, 3118, 630, 24834, 6672, 540, 13437, 540, 27259, 7896, 1916, 13010, 267, 519, 654, 29151, 295, 814, 2813, 513, 3060, 540, 2817, 674, 5914, 18745, 267, 12912, 676, 741, 6608, 267, 547, 1020, 610, 9337, 9086, 1644, 547, 519, 2504, 267, 1104, 566, 267, 3892, 543, 946, 540, 18915, 2472, 267, 543, 267, 1851, 824, 1919, 267, 547, 3715, 519, 5464, 540, 15084, 4616, 269, 1452, 2817, 674, 5914, 18745, 1683, 2930, 1489, 547, 741, 654, 29151, 295, 2817, 1546, 5586, 919, 269, 1677, 4266, 267, 1614, 3126, 540, 29468, 723, 1044, 22555, 538, 519, 2947, 4525, 540, 519, 654, 29151, 295, 543, 519, 8772, 3126, 568, 896, 1259, 563, 2171, 1142, 723, 513, 1909, 547, 1404, 1996, 21734, 4187, 563, 1607, 2985, 3947, 596, 1569, 547, 1585, 4282, 2326, 593, 519, 1966, 540, 21734, 4187, 269, 1452, 2609, 616, 1863, 14092, 947, 267, 5225, 1810, 1406, 19292, 547, 946, 873, 543, 1780, 873, 593, 563, 13328, 4165, 574, 17853, 17607, 10432, 454, 763, 3804, 540, 713, 3018, 568, 547, 6318, 4656, 540, 519, 1072, 4220, 15054, 676, 21734, 4187, 543, 547, 3895, 1434, 2259, 538, 713, 1858, 540, 6161, 267, 547, 3970, 519, 11944, 543, 3262, 540, 4187, 2429, 519, 1158, 563, 268, 24093, 2404, 609, 519, 946, 540, 17059, 15412, 10118, 538, 2831, 5001, 630, 1001, 276, 994, 268, 27259, 16392, 2472, 543, 10074, 281, 16832, 2645, 585, 1022, 2500, 3662, 1072, 543, 10304, 3609, 630, 1001, 271, 264, 0, 309, 6400, 1975, 344, 2264, 543, 4033, 5689, 2264, 454, 22416, 2264, 568, 513, 1826, 540, 17351, 3301, 2966, 547, 2800, 610, 17908, 1022, 1982, 30154, 3926, 267, 3028, 610, 3060, 1369, 707, 1870, 269, 2290, 1383, 1373, 22342, 2264, 799, 568, 2966, 547, 4283, 707, 2780, 3926, 267, 5531, 1239, 827, 596, 267, 543, 4464, 621, 547, 513, 3791, 18407, 1510, 707, 9844, 269, 6423, 2630, 2081, 547, 11574, 891, 2010, 540, 6285, 563, 272, 269, 2037, 762, 909, 3562, 15082, 4550, 2173, 531, 2264, 4027, 563, 273, 269, 2422, 4950, 3354, 10766, 1811, 547, 8524, 1543, 543, 10873, 585, 1634, 18453, 563, 274, 269, 8307, 11863, 11967, 3156, 547, 581, 2196, 563, 275, 269, 12305, 519, 5767, 3354, 10311, 585, 782, 3301, 267, 1519, 519, 5665, 1062, 563, 276, 269, 4762, 2682, 3984, 2861, 543, 3060, 3595, 31486, 1107, 771, 9994, 532, 538, 20129, 4296, 676, 9949, 563, 277, 269, 3550, 3908, 23070, 6589, 593, 513, 991, 26209, 4493, 799, 616, 711, 1031, 547, 2638, 4757, 610, 19584, 519, 1357, 563, 278, 269, 5590, 909, 5565, 16748, 24956, 1709, 630, 273, 11902, 264, 543, 4894, 4882, 639, 12323, 1022, 6589, 1100, 3476, 538, 946, 563, 279, 269, 2598, 762, 610, 1526, 1778, 1978, 5672, 4592, 267, 20072, 267, 610, 11991, 2533, 563, 280, 269, 5590, 909, 28417, 543, 4757, 12086, 269, 0, 19350, 616, 1806, 540, 513, 2985, 1354, 543, 1310, 513, 1257, 2914, 571, 6137, 2736, 568, 2813, 630, 8993, 269, 476, 274, 268, 1015, 543, 476, 274, 268, 1556, 267, 6606, 1040, 1403, 707, 2703, 2306, 946, 540, 9587, 267, 950, 29780, 513, 6241, 2736, 267, 1022, 21849, 1543, 547, 519, 1655, 540, 519, 23684, 519, 1747, 519, 2736, 568, 17332, 568, 2604, 323, 883, 519, 1739, 6241, 269, 769, 519, 476, 273, 1806, 896, 267, 8431, 476, 274, 268, 279, 15225, 519, 1257, 1354, 519, 6241, 2736, 267, 1247, 8431, 476, 274, 268, 280, 568, 1018, 519, 2985, 5526, 899, 1310, 519, 2736, 814, 1044, 2813, 563, 1103, 713, 13972, 2361, 267, 596, 7654, 666, 4188, 967, 757, 267, 1899, 19437, 269, 1717, 267, 938, 1719, 568, 538, 519, 1899, 267, 543, 519, 2985, 9397, 593, 519, 6587, 9184, 269, 901, 568, 2147, 609, 1875, 31771, 5624, 2705, 585, 1913, 799, 616, 9674, 676, 3834, 2380, 269, 6270, 2453, 8840, 693, 519, 9096, 540, 513, 4845, 616, 8353, 24312, 771, 921, 2084, 269, 1677, 1118, 2386, 519, 1913, 1832, 15217, 267, 649, 3580, 7747, 891, 2241, 3268, 9001, 1533, 6361, 7308, 19603, 563, 2252, 596, 991, 547, 7696, 930, 9184, 331, 1355, 20695, 3817, 538, 4179, 2517, 520, 1156, 787, 16443, 923, 1041, 14492, 270, 24108, 270, 519, 22984, 540, 513, 3561, 602, 30232, 519, 3044, 476, 279, 269, 276, 17723, 476, 1556, 6279, 267, 596, 991, 547, 946, 1357, 2985, 9397, 519, 1747, 519, 3898, 2242, 269, 634, 4855, 543, 29799, 1907, 666, 3343, 585, 3875, 2027, 3197, 269, 2368, 540, 873, 267, 899, 519, 4781, 958, 2139, 3834, 1156, 543, 519, 5037, 1665, 267, 616, 1875, 2745, 532, 3197, 269, 11524, 267, 1175, 899, 519, 900, 21686, 991, 811, 982, 513, 2582, 1883, 560, 6593, 547, 3132, 269, 4107, 1004, 1810, 5889, 339, 899, 547, 723, 741, 2012, 3190, 539, 609, 267, 543, 707, 20148, 7959, 519, 1482, 1505, 827, 519, 2754, 2012, 269, 2422, 25156, 3834, 1156, 566, 547, 3247, 6478, 689, 12270, 1978, 1913, 563, 1607, 666, 1419, 581, 3730, 585, 1257, 538, 28795, 9587, 267, 2147, 547, 14786, 269, 2098, 310, 9915, 1223, 267, 18562, 267, 581, 1031, 547, 1688, 2275, 2761, 543, 7816, 3344, 540, 1899, 22249, 752, 7180, 269, 634, 1739, 3349, 2488, 513, 7050, 3942, 2070, 540, 2188, 602, 3310, 875, 513, 1603, 1062, 12109, 1186, 1257, 593, 519, 9096, 540, 513, 1899, 563, 17504, 3096, 519, 1032, 689, 519, 4266, 596, 8359, 547, 9337, 519, 5729, 21849, 1543, 1369, 519, 20927, 269, 1411, 666, 8749, 519, 4216, 538, 519, 20801, 3046, 547, 1847, 3533, 676, 1259, 540, 519, 10624, 267, 610, 946, 519, 15561, 16181, 547, 31300, 555, 745, 519, 1806, 269, 634, 8525, 7822, 7872, 6087, 596, 547, 6445, 538, 519, 2898, 4282, 540, 513, 2985, 269, 3680, 519, 31112, 547, 946, 713, 4183, 547, 1711, 513, 21230, 4282, 269, 12882, 811, 982, 10978, 4282, 4778, 543, 3270, 602, 4339, 609, 519, 1257, 593, 519, 2985, 563, 295, 528, 714, 7267, 20514, 616, 10123, 1572, 607, 8880, 3652, 269, 1452, 15244, 4217, 721, 547, 5094, 6810, 540, 1257, 269, 1403, 11405, 272, 4769, 5889, 339, 4194, 707, 2721, 3724, 267, 2119, 4657, 519, 3561, 2070, 269, 21744, 519, 2070, 2671, 1522, 1305, 1055, 23935, 547, 5815, 4625, 269, 634, 28652, 2671, 568, 16069, 23935, 547, 11904, 27235, 543, 1952, 324, 691, 334, 581, 7413, 1055, 269, 901, 1357, 2985, 568, 513, 851, 540, 634, 31597, 674, 2632, 6651, 267, 606, 2606, 13944, 25156, 602, 6941, 519, 17950, 540, 23935, 543, 875, 547, 1305, 909, 23935, 267, 946, 873, 538, 1114, 5301, 543, 811, 563, 763, 2262, 22249, 752, 3959, 8060, 1018, 3029, 540, 5022, 616, 1350, 2174, 539, 1927, 547, 1106, 796, 19874, 762, 12882, 6919, 5889, 267, 4929, 595, 297, 298, 3197, 547, 13789, 899, 1875, 4211, 297, 298, 21849, 1543, 610, 13030, 17930, 269, 634, 3043, 2230, 4393, 4808, 723, 2907, 17515, 1022, 29601, 543, 2127, 2066, 519, 3296, 2736, 1354, 713, 2796, 568, 11117, 269, 589, 3561, 16163, 518, 949, 711, 1152, 3339, 1125, 1022, 10126, 9397, 267, 855, 10123, 12900, 1114, 2777, 3197, 610, 538, 1022, 824, 2013, 1184, 3043, 1858, 2687, 547, 1665, 1575, 3652, 269, 5221, 22898, 4393, 4523, 1310, 519, 16163, 532, 3942, 267, 621, 3884, 1406, 12492, 762, 547, 2847, 633, 891, 3197, 585, 18908, 1782, 563, 763, 1899, 568, 21401, 267, 538, 1114, 2453, 267, 543, 891, 865, 10777, 10690, 12490, 666, 1267, 538, 8933, 269, 2142, 18762, 267, 1498, 267, 607, 513, 1439, 1267, 540, 3834, 1156, 566, 568, 7307, 538, 513, 513, 2603, 811, 7294, 1505, 267, 543, 519, 3561, 786, 1869, 1246, 519, 13210, 649, 5889, 557, 2938, 909, 3842, 713, 1377, 269, 1809, 950, 596, 946, 519, 2598, 17917, 776, 14523, 1156, 267, 596, 3580, 5397, 769, 17637, 547, 8237, 519, 2262, 9003, 1369, 519, 5544, 596, 723, 6074, 269, 901, 3959, 666, 10123, 581, 2356, 1031, 693, 519, 2427, 540, 519, 3834, 2380, 3959, 538, 1931, 602, 950, 9397, 2049, 513, 3834, 523, 568, 17332, 267, 607, 829, 519, 3044, 538, 2835, 269, 634, 2014, 1004, 7696, 513, 1875, 31771, 1858, 1318, 883, 513, 3561, 568, 547, 2226, 1079, 610, 811, 2453, 1927, 593, 519, 9838, 1899, 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 ]

[ 540, 4708, 2476, 689, 519, 554, 755, 548, 543, 11861, 548, 269, 2991, 3275, 540, 1085, 3234, 4771, 543, 9494, 267, 649, 6368, 1185, 2614, 2724, 585, 513, 1524, 8569, 267, 865, 649, 3459, 15388, 1114, 16973, 780, 2171, 16686, 2390, 667, 592, 16049, 910, 4330, 607, 1412, 821, 540, 519, 1034, 7199, 262, 2943, 5356, 1412, 16341, 811, 10097, 3681, 9538, 2311, 1101, 16145, 267, 1256, 1346, 8604, 14869, 282, 2705, 267, 1310, 7487, 1018, 3116, 729, 856, 972, 630, 9802, 325, 1515, 267, 4896, 24047, 649, 23125, 1946, 711, 2285, 621, 513, 8929, 286, 1924, 1055, 649, 4682, 267, 4712, 547, 1265, 6000, 513, 1753, 1369, 938, 6578, 780, 5978, 3406, 3366, 721, 547, 1079, 3601, 602, 533, 31985, 938, 1719, 1107, 513, 29413, 544, 6416, 2469, 585, 11278, 280, 269, 279, 2929, 543, 513, 844, 5593, 19887, 11720, 539, 693, 11278, 12573, 267, 1822, 269, 2372, 924, 519, 4334, 267, 3884, 1405, 621, 286, 8616, 1945, 827, 1142, 16668, 721, 538, 269, 11910, 621, 20949, 267, 7279, 267, 610, 1175, 10750, 561, 684, 2329, 267, 855, 1354, 6616, 1732, 267, 649, 4956, 547, 1491, 513, 6251, 1413, 693, 1312, 780, 763, 544, 6416, 729, 18198, 1107, 18899, 19683, 267, 12627, 669, 28888, 4536, 267, 6989, 3562, 268, 576, 4979, 9486, 6772, 8504, 18932, 10651, 269, 898, 5433, 899, 19480, 883, 513, 18912, 9661, 269, 1306, 649, 8268, 2417, 267, 1498, 267, 18015, 7902, 538, 519, 3655, 9809, 1228, 269, 1703, 941, 20984, 538, 519, 8122, 267, 25768, 11443, 267, 543, 4191, 540, 4049, 14927, 1145, 2429, 519, 2679, 269, 22582, 267, 602, 646, 11998, 3902, 11090, 4769, 1405, 3100, 3833, 865, 11389, 32208, 15042, 269, 2353, 602, 1350, 527, 1562, 5963, 3884, 1405, 4154, 13718, 11514, 24711, 2989, 267, 649, 959, 644, 3022, 2059, 547, 2070, 519, 19887, 269, 6008, 6137, 3330, 267, 649, 7948, 1405, 3494, 875, 18241, 543, 18136, 621, 5433, 3379, 547, 519, 4411, 6264, 16725, 540, 519, 544, 6416, 269, 8786, 267, 2230, 729, 3908, 267, 855, 7943, 23953, 538, 998, 1804, 15922, 9486, 267, 27283, 28292, 2250, 601, 6821, 24224, 609, 1920, 6337, 269, 6736, 922, 16434, 2450, 267, 519, 1747, 2234, 7007, 14246, 543, 2648, 269, 1656, 7058, 1018, 286, 3502, 513, 2582, 13451, 267, 2110, 5547, 267, 610, 9044, 838, 648, 538, 8289, 2439, 291, 904, 2663, 267, 1247, 7234, 938, 2833, 936, 12129, 267, 649, 7691, 1945, 7096, 269, 3776, 9909, 22821, 1405, 4957, 1107, 649, 1869, 4941, 513, 12560, 18956, 689, 960, 269, 1809, 6148, 1018, 649, 2877, 7012, 1405, 30832, 1782, 11623, 4904, 609, 1566, 12040, 29939, 902, 269, 9320, 1018, 5963, 20974, 1229, 729, 4466, 513, 1747, 2407, 540, 4313, 267, 8788, 267, 543, 1863, 689, 2101, 7293, 2152, 780, 4517, 1287, 3357, 519, 4729, 6335, 1100, 835, 4718, 4947, 269, 2201, 513, 627, 574, 267, 649, 11643, 3091, 585, 1312, 3601, 910, 4224, 5377, 536, 1749, 267, 6236, 741, 4890, 4502, 269, 21001, 1529, 3585, 267, 789, 7608, 873, 1107, 519, 22673, 540, 519, 544, 6416, 11235, 547, 2759, 9271, 267, 543, 519, 8227, 540, 519, 19887, 20109, 676, 938, 9758, 7071, 585, 1200, 18803, 705, 1712, 780, 3383, 1934, 649, 616, 1631, 267, 2713, 25747, 2479, 1310, 538, 938, 12691, 6292, 540, 8075, 269, 4438, 3018, 17058, 267, 649, 21078, 538, 519, 6263, 6366, 267, 11981, 1169, 3141, 26569, 4090, 1927, 269, 3973, 2097, 32300, 267, 649, 9101, 547, 519, 5493, 7652, 544, 6416, 267, 16475, 2828, 543, 11240, 532, 538, 922, 5318, 5624, 1510, 20468, 827, 21338, 922, 20924, 269, 5808, 1131, 4312, 2219, 938, 3460, 998, 667, 592, 16049, 1483, 10040, 1131, 1291, 721, 1934, 286, 5020, 2386, 1281, 12235, 7455, 27750, 3006, 256, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 1683, 513, 15059, 540, 519, 1034, 7199, 543, 2547, 7199, 1483, 10040, 3681, 2139, 538, 667, 592, 16049, 538, 6476, 547, 824, 16973, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 519, 1034, 909, 3562, 15082, 1344, 593, 1483, 10040, 5777, 538, 667, 592, 16049, 610, 824, 16973, 269, 1717, 267, 2687, 547, 2487, 5359, 267, 519, 11667, 3959, 1871, 538, 667, 592, 16049, 568, 1472, 11278, 16020, 267, 1822, 267, 1818, 621, 835, 540, 519, 1034, 7199, 16973, 538, 5507, 269, 2368, 540, 519, 1034, 29413, 5321, 538, 667, 592, 16049, 666, 1942, 909, 547, 11278, 1015, 2929, 610, 811, 269, 8528, 4002, 519, 824, 1688, 267, 972, 616, 849, 930, 811, 10097, 3681, 538, 667, 592, 16049, 267, 971, 607, 6306, 906, 610, 4130, 5321, 267, 799, 666, 2039, 689, 11278, 7742, 267, 1822, 547, 11278, 4335, 267, 1822, 269, 8528, 2691, 9236, 667, 592, 16049, 547, 824, 16973, 538, 5507, 267, 621, 568, 1271, 547, 4063, 602, 5507, 3294, 568, 1634, 585, 922, 1164, 3959, 5777, 269, 2368, 540, 519, 1034, 7199, 16973, 538, 5507, 1331, 2904, 325, 1515, 267, 12928, 2074, 8822, 267, 543, 5617, 6588, 16129, 267, 1141, 519, 11667, 3959, 5777, 666, 2039, 689, 11278, 273, 268, 28462, 276, 2929, 610, 811, 269, 769, 4334, 267, 930, 540, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 1103, 713, 1770, 267, 649, 786, 2263, 513, 4241, 5690, 1572, 519, 590, 1074, 1817, 333, 11860, 333, 31463, 5690, 269, 901, 5690, 568, 1031, 547, 1265, 513, 18440, 540, 513, 5119, 971, 602, 519, 4737, 543, 6241, 18304, 616, 3160, 547, 9138, 2418, 269, 898, 568, 1419, 1031, 538, 4610, 971, 607, 9297, 543, 2780, 2257, 269, 2913, 781, 4685, 883, 621, 2439, 5575, 267, 1577, 781, 1174, 1018, 513, 5119, 568, 269, 589, 5119, 568, 513, 14328, 5044, 540, 2338, 11231, 538, 9343, 543, 9587, 269, 1280, 1383, 267, 513, 476, 273, 343, 273, 5119, 5654, 899, 713, 1384, 16465, 17961, 21421, 8679, 320, 1299, 536, 8607, 454, 322, 1299, 546, 454, 17910, 21421, 8679, 9681, 1103, 5124, 267, 649, 666, 2099, 513, 5119, 607, 513, 1592, 540, 8638, 269, 1280, 1383, 267, 519, 1657, 5119, 666, 581, 6719, 607, 1384, 3499, 7090, 454, 9795, 815, 20886, 320, 267, 536, 3910, 1496, 322, 267, 546, 27663, 7884, 3086, 267, 1577, 781, 2911, 827, 519, 590, 1074, 1817, 333, 11860, 333, 31463, 5690, 269, 901, 5690, 568, 1031, 547, 4336, 513, 5119, 971, 602, 519, 2040, 540, 2609, 538, 1142, 4737, 543, 6241, 568, 3160, 547, 513, 9138, 1871, 269, 901, 568, 1419, 3730, 950, 649, 1616, 547, 3339, 1125, 513, 5119, 610, 1118, 2386, 602, 621, 10742, 1978, 7355, 780, 763, 590, 1074, 1817, 333, 11860, 333, 31463, 5690, 1568, 676, 3124, 2299, 18440, 519, 9343, 543, 9587, 540, 519, 5119, 2394, 519, 18304, 540, 519, 9343, 543, 9587, 616, 1369, 513, 9138, 2039, 269, 901, 568, 2944, 676, 14921, 1142, 4737, 676, 513, 3815, 543, 1142, 6241, 676, 513, 3815, 269, 634, 2188, 616, 6074, 971, 602, 519, 18304, 540, 519, 9343, 543, 9587, 616, 3160, 547, 519, 9138, 2418, 780, 4131, 781, 1413, 693, 519, 3009, 585, 519, 590, 1074, 1817, 333, 11860, 333, 31463, 5690, 1384, 3499, 7090, 454, 3698, 16173, 1817, 333, 17624, 333, 31463, 27456, 267, 1295, 318, 628, 3306, 284, 272, 324, 268, 279, 267, 3193, 318, 628, 3306, 284, 272, 269, 271, 267, 3193, 318, 3438, 284, 1911, 271, 2187, 825, 678, 815, 476, 272, 1315, 5286, 27904, 27456, 267, 7852, 284, 272, 994, 825, 524, 815, 476, 272, 1315, 5286, 27904, 27456, 267, 7852, 284, 271, 2020, 825, 623, 318, 10134, 815, 5286, 6983, 4878, 27456, 994, 825, 1247, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 272, 264, 2999, 1295, 318, 628, 3306, 264, 26444, 2018, 610, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 272, 264, 3436, 3193, 318, 628, 3306, 264, 26444, 2018, 610, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 271, 264, 2999, 1295, 318, 628, 3306, 264, 26444, 2018, 610, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 271, 264, 3436, 3193, 318, 628, 3306, 17107, 1038, 524, 815, 476, 272, 1315, 623, 11053, 31715, 16868, 994, 1038, 678, 815, 476, 272, 1315, 623, 31715, 6262, 2020, 1038, 623, 318, 10134, 815, 5286, 6155, 328, 698, 16868, 1040, 25346, 27456, 1040, 25346, 18828, 6155, 328, 698, 6262, 11723, 825, 2132, 623, 318, 10134, 454, 7884, 4131, 781, 2736, 1524, 713, 3009, 1384, 272, 269, 634, 1599, 2387, 338, 1074, 1817, 333, 17624, 333, 31463, 319, 3217, 538, 513, 5119, 2387, 303, 319, 543, 1614, 18593, 6724, 281, 2387, 2381, 318, 628, 3306, 12452, 2387, 10946, 318, 628, 3306, 12452, 543, 2387, 10946, 318, 3438, 18269, 2387, 2381, 318, 628, 3306, 319, 543, 2387, 10946, 318, 628, 3306, 319, 616, 519, 5934, 543, 5021, 2418, 602, 519, 18304, 540, 519, 9343, 543, 9587, 666, 581, 269, 2387, 10946, 318, 3438, 319, 568, 519, 5021, 1297, 540, 23200, 602, 519, 5690, 666, 2196, 585, 780, 273, 269, 634, 4632, 2387, 337, 319, 543, 2387, 322, 319, 616, 3355, 1242, 547, 519, 23483, 540, 519, 18304, 540, 519, 9343, 543, 9587, 540, 2387, 303, 12452, 6606, 269, 901, 568, 2944, 1210, 519, 2387, 12639, 27904, 319, 1599, 267, 799, 18304, 519, 2609, 538, 519, 5119, 2059, 513, 9138, 7852, 780, 274, 269, 634, 4756, 2387, 303, 318, 10134, 319, 568, 3355, 1242, 547, 513, 5299, 540, 2387, 303, 18269, 901, 786, 581, 1031, 547, 4558, 519, 26987, 5119, 693, 1142, 21767, 780, 275, 269, 634, 5690, 1287, 13788, 513, 8520, 267, 799, 5170, 2394, 519, 18304, 540, 519, 9343, 543, 9587, 540, 2387, 303, 318, 10134, 319, 616, 1369, 519, 9138, 2039, 780, 276, 269, 18738, 519, 8520, 267, 519, 4632, 2387, 337, 319, 543, 2387, 322, 319, 616, 8242, 676, 12270, 476, 272, 676, 519, 12297, 1587, 540, 2387, 303, 319, 543, 519, 3105, 2418, 540, 2387, 337, 319, 543, 2387, 322, 18269, 901, 814, 519, 1198, 540, 18440, 519, 9343, 543, 9587, 540, 2387, 303, 27471, 277, 269, 634, 26987, 5119, 2387, 303, 318, 10134, 319, 568, 1287, 8242, 676, 14921, 2387, 303, 319, 676, 519, 15497, 14290, 4646, 676, 2387, 337, 319, 543, 2387, 322, 18269, 901, 568, 2944, 1210, 519, 2387, 12639, 6155, 328, 698, 319, 1599, 267, 799, 5932, 513, 15497, 5119, 689, 513, 476, 272, 291, 5044, 267, 543, 519, 2387, 25346, 319, 1599, 267, 799, 15824, 5119, 8691, 780, 278, 269, 634, 8520, 5170, 2394, 519, 18304, 540, 519, 9343, 543, 9587, 540, 2387, 303, 318, 10134, 319, 616, 1369, 519, 9138, 2039, 267, 610, 519, 5021, 1297, 540, 23200, 568, 6603, 780, 279, 269, 7053, 267, 519, 1599, 7024, 519, 26987, 5119, 2387, 303, 318, 10134, 27471, 763, 590, 1074, 1817, 333, 11860, 333, 31463, 5690, 568, 513, 3532, 1907, 585, 18440, 14290, 269, 898, 568, 1031, 538, 513, 3099, 540, 4610, 267, 1519, 9297, 267, 2780, 2257, 267, 543, 3684, 1565, 269, 1635, 1620, 875, 713, 5690, 1568, 267, 596, 666, 2744, 513, 4514, 7071, 585, 519, 1379, 540, 14290, 543, 741, 1082, 3156, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 16875, 21855, 9884, 7568, 6025, 4973, 5334, 6269, 677, 318, 8705, 940, 23919, 267, 14871, 23219, 940, 2020, 1038, 678, 815, 476, 272, 1315, 19073, 582, 322, 454, 1038, 1642, 19073, 582, 337, 267, 19073, 582, 322, 692, 1038, 623, 318, 10134, 815, 5286, 6983, 4878, 27456, 994, 1038, 1247, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 272, 264, 2999, 1295, 318, 628, 3306, 264, 26444, 3546, 610, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 272, 264, 3436, 3193, 318, 628, 3306, 264, 26444, 3546, 610, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 271, 264, 2999, 1295, 318, 628, 3306, 264, 26444, 3546, 610, 5286, 269, 1415, 18828, 27904, 27456, 318, 10134, 267, 7852, 284, 271, 264, 3436, 3193, 318, 628, 3306, 17107, 2018, 524, 815, 476, 272, 1315, 623, 11053, 31715, 16868, 994, 2018, 678, 815, 476, 272, 1315, 623, 31715, 6262, 2020, 2018, 1582, 11519, 291, 272, 815, 5286, 6155, 328, 698, 18828, 4732, 638, 2465, 2763 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3167, 23041, 666, 581, 513, 2656, 543, 2653, 1184, 269, 3689, 267, 2708, 1018, 1826, 540, 1426, 596, 1616, 547, 556, 17742, 269, 1280, 15559, 610, 27156, 267, 946, 513, 1494, 609, 513, 19984, 543, 3002, 936, 1970, 547, 5420, 3002, 269, 1280, 4396, 3536, 267, 946, 513, 1236, 32576, 610, 31068, 3443, 936, 5420, 3002, 585, 1256, 8022, 269, 3680, 1210, 1164, 3002, 607, 621, 949, 6633, 519, 1426, 269, 853, 597, 519, 1426, 1419, 547, 2061, 23578, 563, 2690, 16741, 267, 840, 17742, 707, 14089, 547, 476, 23841, 13790, 543, 1747, 519, 16741, 2047, 593, 519, 1647, 24646, 585, 476, 1015, 268, 1428, 3764, 610, 2394, 12699, 998, 269, 3680, 1210, 1957, 10824, 607, 789, 616, 711, 14089, 1606, 12522, 543, 1223, 1376, 513, 3595, 952, 6534, 547, 1164, 5210, 563, 2005, 568, 1271, 547, 2973, 707, 14089, 5781, 547, 2061, 26151, 11935, 689, 7213, 6819, 267, 799, 666, 2014, 8673, 610, 1256, 513, 3595, 9651, 269, 1677, 2973, 26151, 4006, 689, 707, 14089, 267, 3575, 11256, 14614, 609, 1216, 883, 513, 13594, 543, 4019, 621, 1141, 2556, 1354, 530, 31441, 621, 2476, 609, 513, 14927, 12308, 563, 7661, 267, 1118, 2386, 602, 707, 3167, 23041, 814, 5094, 5679, 10849, 585, 519, 14089, 543, 23041, 1283, 865, 602, 596, 666, 946, 1312, 693, 519, 1482, 942, 952, 2877, 1510, 1022, 2152, 563, 21446, 2510, 547, 744, 1597, 4149, 12522, 7433, 1773, 919, 454, 26261, 10824, 616, 513, 10375, 4781, 585, 7674, 1426, 855, 789, 616, 711, 2922, 585, 946, 538, 606, 14089, 269, 1677, 3002, 1426, 538, 519, 14089, 267, 972, 616, 1896, 8925, 547, 14089, 1606, 12522, 1957, 10824, 602, 666, 581, 1031, 269, 1452, 8925, 616, 912, 268, 1325, 26891, 674, 11798, 623, 753, 454, 268, 12877, 516, 343, 19371, 2598, 1127, 454, 268, 595, 10984, 545, 2598, 1127, 454, 268, 8125, 545, 821, 645, 1136, 631, 1846, 454, 268, 32255, 13082, 623, 753, 454, 268, 10011, 11635, 4787, 4068, 1206, 454, 4322, 8925, 666, 6023, 1164, 5210, 543, 616, 2922, 547, 946, 538, 519, 14089, 269, 898, 568, 1271, 547, 4063, 602, 711, 782, 2326, 616, 5078, 585, 782, 2010, 540, 8286, 267, 865, 621, 568, 1655, 547, 2638, 519, 10672, 779, 5528, 1354, 1210, 873, 563, 8802, 8973, 2189, 3877, 267, 621, 568, 1271, 547, 1174, 519, 7687, 540, 1142, 4244, 269, 1280, 1383, 267, 4837, 8286, 949, 695, 2660, 952, 6534, 547, 6727, 2837, 2242, 267, 865, 621, 779, 1271, 547, 1577, 873, 3579, 1524, 1354, 11067, 269, 898, 568, 849, 1271, 547, 6023, 3905, 8286, 609, 14089, 5378, 1206, 610, 533, 1054, 1245, 619, 547, 2061, 17236, 563, 288, 3020, 1686, 1644, 547, 713, 1888, 568, 519, 5169, 540, 1957, 10824, 269, 634, 1101, 31601, 1957, 6676, 729, 11827, 538, 476, 5002, 275, 676, 9410, 6206, 525, 538, 11785, 269, 1358, 941, 30630, 607, 513, 811, 31978, 545, 4244, 547, 23431, 10824, 543, 941, 7620, 1500, 689, 23987, 1957, 29578, 269, 27009, 267, 1957, 10824, 2097, 538, 513, 3099, 540, 6272, 543, 616, 4922, 1031, 585, 9205, 2621, 543, 17552, 333, 923, 563, 8448, 2326, 547, 4483, 1426, 585, 8022, 454, 2691, 621, 2501, 547, 22151, 1426, 585, 8022, 267, 972, 616, 1896, 2326, 596, 666, 946, 6306, 689, 14089, 1606, 12522, 1957, 10824, 269, 1452, 8925, 2709, 811, 3681, 585, 7594, 7041, 1247, 4180, 3106, 543, 13418, 563, 2080, 616, 930, 3681, 547, 2015, 912, 268, 1325, 26891, 23240, 281, 901, 1570, 568, 8465, 543, 2653, 547, 3337, 267, 1818, 621, 3501, 585, 28277, 909, 1426, 538, 519, 14089, 610, 593, 513, 1989, 650, 563, 268, 623, 1105, 618, 1957, 281, 623, 1105, 618, 1957, 1568, 1134, 607, 513, 561, 10719, 538, 11256, 9212, 610, 607, 513, 3382, 585, 887, 8463, 8286, 269, 898, 779, 3002, 15033, 543, 1875, 3613, 1157, 267, 1818, 30749, 1454, 4443, 563, 268, 19371, 2264, 281, 14333, 15033, 4837, 8286, 971, 607, 12877, 516, 343, 666, 16641, 1164, 5210, 543, 960, 1134, 585, 11256, 22101, 518, 3421, 610, 887, 8463, 5388, 563, 268, 595, 10984, 545, 3434, 2264, 281, 595, 10984, 545, 8286, 2097, 538, 1082, 5546, 543, 7306, 543, 616, 4998, 585, 5986, 782, 5686, 540, 3536, 1519, 12403, 338, 267, 27130, 267, 15255, 1725, 553, 267, 3092, 563, 268, 8125, 545, 821, 1319, 338, 610, 11256, 9212, 281, 28541, 568, 2706, 8465, 543, 666, 581, 1031, 936, 476, 4335, 2053, 1354, 17596, 13868, 269, 1358, 666, 581, 3362, 2759, 883, 2450, 762, 4773, 952, 596, 991, 873, 7132, 789, 2461, 1390, 693, 711, 23578, 547, 1426, 799, 2306, 7738, 873, 7168, 4674, 1652, 563, 2005, 779, 1271, 547, 4063, 602, 1114, 2326, 2154, 1114, 5986, 2053, 538, 519, 14089, 282, 3976, 267, 2348, 606, 4977, 1620, 540, 1018, 2837, 547, 1305, 707, 14089, 693, 865, 602, 707, 1426, 29397, 9985, 1510, 8781, 568, 2629, 563, 2252, 596, 6430, 547, 5912, 689, 1210, 14089, 1606, 12522, 1957, 10824, 855, 5749, 1406, 2386, 875, 1279, 1142, 1570, 3217, 538, 519, 14089, 1107, 1118, 2386, 596, 798, 707, 1382, 1101, 676, 13288, 547, 23674, 2959, 593, 1018, 2837, 1281, 1957, 6633, 538, 519, 23041, 610, 2147, 14511, 563, 15563, 267, 2141, 3314, 3106, 3800, 950, 15175, 1063, 2326, 1247, 5986, 865, 602, 4986, 9397, 538, 519, 22984, 540, 8600, 741, 6980, 269, 1306, 609, 1022, 1650, 267, 1577, 721, 2671, 1945, 649, 11402, 7282, 713, 1888, 1765, 297, 2033, 2899, 19451, 569, 5116, 513, 1875, 268, 8576, 1606, 12522, 17375, 8670, 538, 519, 14089, 543, 8694, 909, 609, 513, 26151, 18397, 563, 29605, 547, 2057, 8380, 538, 519, 14089, 454, 26807, 2326, 1058, 711, 581, 2322, 538, 519, 14089, 267, 607, 789, 1223, 2014, 513, 3595, 610, 5305, 5739, 6464, 269, 898, 568, 1271, 547, 581, 18762, 950, 11093, 3688, 538, 519, 14089, 547, 2057, 3441, 543, 1761, 10898, 563, 268, 21311, 1107, 21311, 786, 15835, 538, 519, 14089, 543, 1223, 5732, 5305, 6757, 6464, 883, 519, 2011, 563, 268, 7433, 1107, 7433, 10824, 267, 23040, 9469, 267, 543, 28734, 786, 5337, 924, 538, 1164, 5210, 543, 1223, 1267, 538, 513, 3595, 563, 268, 15742, 5450, 1023, 1107, 2368, 8407, 267, 971, 607, 11956, 23240, 543, 7601, 267, 666, 8141, 610, 1267, 538, 19514, 5986, 952, 5116, 2047, 593, 519, 8022, 3693, 563, 2005, 568, 2629, 547, 2015, 799, 2326, 616, 2922, 585, 946, 950, 11256, 610, 5986, 538, 606, 14089, 269, 3958, 267, 621, 568, 19624, 547, 1224, 10672, 5528, 1354, 1210, 14542, 3434, 2264, 610, 27106, 2264, 563, 28139, 1067, 10036, 568, 513, 2442, 1570, 585, 13167, 855, 1058, 711, 581, 2322, 2047, 593, 1426, 7252, 610, 1031, 585, 4376, 17580, 1813, 547, 519, 1981, 540, 17694, 269, 5015, 267, 930, 759, 1231, 949, 5305, 6757, 32669, 952, 12699, 693, 1164, 5210, 543, 1058, 711, 581, 5116, 3330, 9065, 839, 563, 3080, 540, 1250, 2828, 1500, 519, 12161, 540, 8380, 741, 4427, 3118, 26889, 12109, 3899, 3330, 741, 14089, 1310, 30534, 621, 729, 972, 269, 634, 12109, 3899, 9575, 3595, 267, 11423, 741, 10051, 609, 8673, 543, 4929, 1713, 3441, 547, 741, 27115, 269, 898, 568, 2141, 1898, 547, 5595, 27902, 1018, 649, 1747, 3330, 938, 9065, 839, 547, 2057, 10913, 899, 713, 689, 9648, 563, 8794, 513, 17196, 14089, 9108, 610, 8925, 547, 2015, 454, 2691, 1210, 513, 17196, 14089, 267, 621, 779, 1898, 547, 1174, 519, 3106, 3800, 2877, 269, 4746, 267, 1896, 8925, 798, 711, 2154, 17196, 6165, 269, 2290, 4244, 568, 513, 547, 2120, 14089, 267, 799, 3091, 606, 2653, 543, 10357, 7888, 4244, 547, 17196, 5986, 269, 3958, 267, 23041, 339, 3591, 666, 581, 1031, 547, 5965, 6980, 1141, 2556, 563, 2005, 779, 1271, 547, 4063, 602, 972, 616, 2189, 3877, 11341, 547, 17196, 6165, 1256, 538, 5986, 30304, 899, 1957, 10824, 269, 769, 2489, 267, 1957, 2472, 616, 2922, 585, 946, 538, 519, 14089, 693, 5210, 2630, 476, 6110, 13790, 269, 1403, 596, 2461, 11842, 2048, 6343, 10917, 1281, 1957, 6633, 538, 14089, 16224, 621, 779, 1434, 547, 2015, 602, 1957, 17236, 1175, 1657, 476, 14596, 13790, 267, 10834, 2799, 4656, 609, 1022, 11256, 2326, 563, 302, 1597, 7738, 2409, 849, 4096, 593, 519, 2326, 1031, 950, 5986, 2094, 26151, 4006, 568, 711, 528, 13124, 29134, 269, 1717, 267, 952, 2656, 1922, 1460, 7738, 3435, 1810, 1406, 3411, 823, 267, 2015, 1210, 1290, 564, 547, 2973, 707, 14089, 3927, 563, 15563, 267, 2760, 8263, 606, 14089, 568, 1055, 8806, 1317, 17176, 5815, 865, 610, 2119, 30196, 513, 1733, 20071, 23051, 14089, 16924, 607, 23659, 17313, 949, 2049, 689, 942, 3562, 6066, 269, 5502, 267, 1902, 538, 1697, 5826, 540, 782, 14233, 543, 3343, 3318, 6351, 952, 2556, 563, 6962, 281, 13773, 15822, 543, 2422, 6970, 1081, 1879, 25392, 32027, 7433, 1773, 919, 538, 519, 744, 1597, 563, 26261, 10824, 616, 2653, 547, 946, 543, 26565, 540, 267, 855, 666, 596, 2322, 873, 538, 519, 14089, 286, 898, 568, 1271, 547, 3635, 13657, 950, 6236, 713, 4781, 269, 2755, 930, 1957, 10824, 949, 581, 13042, 607, 14089, 1606, 12522, 267, 621, 568, 1655, 547, 20093, 593, 519, 2427, 540, 13657, 543, 2057, 8380, 873, 538, 519, 14089, 15587, 269, 23560, 865, 1223, 5732, 1291, 547, 513, 3595, 9651, 610, 5305, 5739, 6464, 883, 519, 2011, 563, 2252, 596, 1590, 946, 1957, 10824, 538, 519, 14089, 267, 621, 568, 1271, 547, 798, 865, 5402, 269, 3550, 602, 519, 10824, 616, 13042, 607, 14089, 1606, 12522, 543, 1152, 946, 873, 693, 5210, 543, 546, 15342, 7150, 593, 519, 11183, 269, 769, 1840, 267, 1491, 1416, 711, 547, 20358, 519, 10824, 543, 1747, 873, 538, 513, 13719, 11256, 8670, 547, 1683, 1489, 563, 2005, 568, 1271, 547, 4063, 602, 930, 14949, 1957, 10824, 949, 711, 581, 14089, 1606, 12522, 267, 865, 621, 568, 1655, 547, 2015, 1210, 4244, 2326, 547, 2057, 1022, 3106, 10898, 563, 1103, 513, 3020, 1650, 1644, 547, 713, 1888, 267, 513, 3593, 4810, 513, 3595, 538, 741, 14089, 1310, 12394, 547, 3002, 909, 1957, 10824, 269, 634, 3593, 729, 18822, 547, 6952, 519, 3595, 2038, 543, 729, 2111, 547, 2322, 621, 856, 1354, 621, 3361, 1022, 3441, 269, 1717, 267, 519, 1995, 8711, 519, 2956, 540, 16706, 13657, 543, 4180, 602, 1022, 2326, 1031, 538, 519, 14089, 616, 2922, 543, 15951, 585, 971, 946, 563, 14454, 267, 621, 568, 1271, 547, 4225, 3106, 950, 6236, 8380, 1957, 10824, 538, 519, 14089, 269, 3680, 3257, 865, 8259, 789, 616, 4481, 13042, 607, 14089, 1606, 12522, 267, 543, 2141, 946, 13657, 547, 2061, 1022, 1761, 10898, 563, 5278, 12700, 6168, 32027, 7433, 1773, 919, 538, 519, 744, 1597, 912, 268, 32273, 483, 7433, 10824, 666, 581, 1031, 538, 519, 14089, 585, 513, 2110, 1974, 540, 942, 267, 855, 711, 585, 6905, 5712, 610, 693, 1164, 5210, 269, 630, 13126, 281, 670, 6064, 518, 994, 268, 32273, 483, 898, 568, 1271, 547, 946, 19756, 543, 3002, 15033, 1957, 10824, 950, 1210, 873, 538, 519, 14089, 269, 630, 13126, 281, 634, 1975, 16078, 661, 1846, 994, 268, 32273, 483, 3213, 730, 1957, 10824, 1058, 711, 581, 1031, 538, 519, 14089, 607, 789, 949, 5305, 5739, 6464, 950, 12699, 269, 630, 13126, 281, 634, 14173, 1013, 994, 268, 32273, 483, 898, 568, 5227, 547, 1747, 513, 11256, 6656, 896, 519, 1957, 6676, 1247, 11256, 538, 519, 14089, 585, 3773, 6617, 543, 547, 6952, 1022, 5671, 1186, 269, 630, 13126, 281, 932, 578, 327, 895, 994, 268, 32273, 483, 898, 568, 1655, 547, 2057, 1210, 1957, 10824, 538, 519, 14089, 15587, 543, 946, 14089, 1606, 12522, 8670, 2264, 971, 607, 4837, 610, 17375, 269, 630, 13126, 281, 5253, 7367, 994, 11902, 17988, 827, 2052, 1411, 10925, 7433, 1773, 919, 769, 634, 744, 1597, 454, 4692, 596, 2322, 1957, 10824, 538, 519, 14089, 888, 5591, 267, 621, 568, 711, 2922, 547, 2322, 1957, 10824, 538, 519, 14089, 607, 789, 616, 711, 3002, 15033, 543, 949, 6952, 3595, 610, 12520, 5739, 6464, 563, 1692, 547, 2973, 26151, 4006, 689, 14089, 888, 300, 1460, 11256, 14614, 543, 1216, 547, 1711, 513, 5394, 13594, 267, 4019, 621, 593, 519, 26151, 4006, 543, 1577, 621, 1694, 585, 476, 1789, 3764, 269, 3973, 267, 28103, 609, 513, 562, 14125, 11453, 543, 27125, 609, 1216, 563, 2710, 1733, 20071, 23051, 9065, 839, 2490, 1055, 8850, 888, 5278, 3631, 540, 1733, 20071, 23051, 9065, 839, 723, 606, 13128, 9505, 11325, 4183, 267, 1247, 930, 798, 711, 269, 4475, 267, 621, 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 ]

[ 2161, 3642, 1907, 666, 948, 11126, 2860, 4999, 3797, 517, 5412, 476, 272, 267, 476, 1708, 271, 693, 476, 1015, 281, 4962, 993, 454, 12867, 538, 18940, 723, 2919, 513, 3684, 19543, 1907, 602, 8308, 25221, 875, 1114, 2860, 5061, 6146, 2068, 2281, 267, 2687, 547, 513, 1957, 3370, 13638, 676, 7186, 18058, 563, 268, 5822, 6644, 4957, 6089, 2860, 2126, 267, 12873, 12680, 517, 5412, 476, 272, 267, 476, 1708, 271, 693, 476, 279, 281, 4366, 993, 454, 763, 2160, 540, 17857, 9435, 4741, 568, 835, 540, 476, 10170, 2817, 9435, 4659, 17393, 793, 730, 2860, 7740, 18487, 1141, 2550, 723, 513, 476, 1839, 260, 3152, 4960, 540, 6668, 982, 1346, 693, 824, 2860, 4429, 16129, 29078, 5240, 0, 6624, 1004, 1810, 1406, 3494, 538, 621, 855, 267, 602, 3069, 666, 581, 8810, 4636, 269, 634, 1977, 5326, 568, 1272, 267, 15698, 543, 519, 13287, 540, 8788, 269, 5221, 540, 6214, 543, 3388, 2469, 593, 538, 519, 1158, 267, 519, 1977, 5326, 4667, 11389, 778, 762, 269, 5020, 269, 15526, 19262, 547, 2661, 741, 1378, 563, 2026, 3160, 4316, 568, 1305, 538, 3013, 267, 621, 568, 513, 2339, 540, 945, 568, 4712, 547, 1265, 1346, 3255, 269, 634, 1977, 5326, 568, 9800, 543, 1134, 267, 855, 1152, 513, 7872, 585, 1346, 945, 616, 8348, 547, 269, 634, 7819, 5326, 28107, 519, 1379, 540, 2182, 960, 269, 3509, 949, 1294, 621, 607, 804, 7865, 267, 855, 621, 568, 513, 4570, 1448, 602, 2486, 6772, 23697, 268, 602, 1004, 945, 616, 12592, 543, 9141, 786, 2141, 1265, 513, 1259, 547, 3035, 741, 3853, 269, 21322, 4354, 773, 267, 945, 5342, 538, 21722, 1382, 593, 454, 1432, 3013, 31283, 1677, 2725, 3013, 814, 1114, 10096, 547, 1142, 12504, 538, 1114, 2829, 267, 1256, 30707, 689, 1114, 2477, 723, 1114, 2093, 540, 3013, 269, 2368, 1589, 621, 779, 13348, 5328, 543, 12703, 267, 621, 779, 513, 1007, 4316, 585, 873, 547, 2087, 741, 6197, 269, 2755, 1866, 723, 2539, 6788, 540, 3013, 267, 621, 1522, 711, 2743, 741, 4441, 540, 2713, 610, 741, 2212, 10324, 540, 741, 2197, 814, 5143, 873, 2942, 1919, 827, 3013, 269, 6787, 596, 899, 621, 610, 711, 267, 621, 779, 513, 1753, 547, 936, 476, 4968, 2929, 4961, 543, 1034, 540, 873, 616, 10583, 547, 581, 606, 1977, 269, 14755, 782, 540, 713, 267, 594, 786, 581, 11589, 1250, 2093, 593, 1018, 3013, 1797, 547, 803, 267, 594, 723, 6074, 1614, 3532, 1913, 602, 594, 1589, 602, 1655, 2099, 938, 5851, 543, 519, 891, 1614, 1913, 786, 723, 454, 1607, 1367, 1143, 4278, 1882, 1282, 519, 21829, 2782, 607, 519, 4892, 2813, 741, 1378, 11180, 4182, 538, 3210, 547, 513, 21257, 602, 1131, 711, 1450, 873, 547, 1827, 2933, 630, 289, 749, 1695, 476, 16318, 1040, 10572, 1143, 23185, 519, 1977, 5326, 540, 1732, 532, 835, 779, 1272, 1210, 835, 779, 1378, 27497, 269, 898, 729, 519, 10747, 16809, 602, 3366, 23806, 856, 7178, 547, 1376, 7192, 3306, 269, 5455, 2394, 519, 476, 4198, 271, 338, 267, 2705, 2676, 10673, 1406, 6733, 7982, 25303, 10787, 22641, 267, 606, 1977, 2278, 2899, 1767, 968, 301, 984, 1328, 2731, 11099, 538, 7862, 19037, 892, 543, 713, 14034, 3020, 585, 1896, 4128, 269, 2290, 971, 2601, 568, 267, 621, 568, 5176, 7543, 585, 7862, 267, 543, 8788, 547, 30598, 269, 1280, 5481, 4961, 540, 519, 2136, 2276, 723, 1044, 20678, 547, 723, 2698, 7862, 538, 741, 4948, 2729, 269, 4658, 1616, 3160, 2924, 267, 3160, 2628, 267, 3160, 2069, 3255, 269, 1717, 267, 711, 1082, 1004, 1616, 547, 798, 3160, 960, 267, 1205, 3160, 4539, 267, 610, 10505, 8449, 547, 2229, 3652, 543, 6042, 563, 2108, 2690, 1082, 519, 1977, 14134, 814, 1831, 513, 3781, 332, 732, 892, 7150, 12672, 773, 9995, 619, 267, 476, 1001, 277, 30814, 15443, 28371, 267, 1282, 835, 540, 1010, 11044, 1310, 1373, 11212, 21616, 609, 519, 2197, 543, 922, 1164, 3928, 540, 922, 4961, 593, 10304, 269, 901, 10839, 267, 10525, 519, 2631, 602, 538, 1699, 3013, 609, 875, 3388, 568, 2469, 267, 519, 1977, 14134, 814, 1631, 5828, 883, 513, 2347, 3190, 602, 1100, 835, 6499, 547, 979, 998, 609, 269, 634, 11566, 2566, 543, 824, 5626, 12503, 602, 2097, 609, 519, 1977, 14134, 568, 711, 4502, 519, 2566, 267, 5626, 267, 543, 3929, 3441, 585, 930, 1004, 543, 2965, 666, 2014, 811, 2800, 982, 1434, 585, 873, 269, 1358, 1131, 2864, 581, 15508, 2635, 982, 1439, 909, 2618, 10999, 8697, 538, 1931, 547, 3914, 519, 865, 1572, 1977, 14134, 269, 898, 568, 6956, 602, 2182, 960, 4422, 883, 519, 1977, 14134, 267, 855, 972, 568, 513, 5386, 1899, 1141, 2614, 568, 2614, 563, 763, 11361, 267, 519, 2021, 267, 519, 1004, 540, 2681, 269, 1358, 782, 3068, 7130, 543, 621, 2306, 513, 2182, 4305, 267, 8236, 741, 1977, 14134, 267, 3592, 7543, 269, 4354, 2917, 779, 654, 1057, 267, 15443, 344, 267, 543, 15867, 758, 338, 782, 723, 606, 1977, 14134, 267, 855, 789, 2760, 3035, 621, 269, 1358, 782, 1616, 513, 2241, 1272, 1141, 789, 616, 5701, 609, 2463, 543, 4847, 547, 1489, 2933, 269, 7183, 540, 873, 1205, 1018, 789, 1616, 563, 6701, 3013, 1412, 338, 11344, 3255, 4502, 519, 1981, 11082, 3068, 286, 2368, 8056, 580, 7847, 941, 2016, 519, 4960, 547, 3035, 519, 11344, 7450, 543, 1866, 14201, 1406, 607, 18822, 1547, 1358, 1412, 557, 1185, 9909, 593, 875, 789, 786, 3035, 513, 1732, 4960, 540, 2713, 269, 769, 382, 357, 4131, 3013, 2142, 1390, 11088, 267, 382, 357, 2854, 676, 18999, 8725, 24806, 646, 2829, 267, 2485, 357, 763, 6634, 945, 723, 4986, 585, 938, 2628, 267, 4849, 519, 5326, 602, 1412, 338, 3592, 4666, 2221, 382, 357, 269, 3509, 11082, 602, 5795, 3388, 2476, 1175, 585, 513, 1732, 1272, 3893, 4986, 538, 2132, 563, 1103, 799, 1004, 689, 1585, 2477, 2097, 547, 519, 2136, 2276, 547, 2744, 13884, 543, 513, 7123, 1747, 538, 1272, 269, 634, 11082, 798, 711, 723, 513, 5187, 2065, 3460, 8757, 3013, 267, 18562, 6849, 519, 2042, 543, 7965, 568, 1732, 982, 9363, 538, 741, 1753, 2197, 269, 4032, 1652, 11082, 723, 1193, 1882, 585, 741, 1747, 789, 1058, 581, 4847, 547, 2661, 538, 513, 4182, 1141, 789, 723, 8329, 543, 5249, 2182, 593, 269, 634, 1977, 5326, 543, 519, 19366, 1995, 568, 4448, 269, 634, 2182, 960, 540, 8236, 519, 1977, 5326, 568, 1141, 519, 19366, 779, 1995, 2501, 689, 563, 20118, 267, 606, 796, 514, 11526, 7606, 8917, 1131, 798, 1100, 1434, 543, 1131, 4324, 1100, 835, 267, 16310, 513, 7654, 4652, 527, 11134, 269, 769, 519, 2013, 602, 649, 798, 3196, 7606, 540, 14718, 2085, 547, 8917, 267, 649, 786, 17216, 581, 4758, 796, 514, 11526, 4961, 606, 17752, 269, 594, 1810, 1405, 1589, 602, 621, 1131, 581, 538, 3013, 781, 1655, 1719, 547, 3196, 513, 8917, 2390, 519, 1004, 269, 898, 779, 849, 1271, 547, 2015, 602, 711, 13359, 666, 849, 581, 513, 3903, 547, 711, 1489, 2901, 10457, 267, 2864, 982, 581, 513, 676, 1056, 518, 269, 769, 2487, 2797, 12836, 267, 594, 917, 3875, 1004, 945, 4956, 547, 1577, 713, 835, 1780, 267, 1317, 789, 1705, 711, 1745, 2178, 1489, 585, 2901, 11134, 269, 0, 18794, 721, 693, 7186, 570, 1824, 585, 1404, 16766, 8854, 3552, 693, 14977, 1633, 4446, 333, 7186, 5244, 2336, 18794, 721, 693, 7186, 570, 1824, 585, 1404, 16766, 8854, 3552, 693, 14977, 1633, 4446, 333, 2336, 2177, 299, 12114, 2910, 7838, 10345, 910, 19750, 3435, 585, 7863, 5810, 543, 5388, 950, 596, 4677, 585, 7320, 454, 2304, 11609, 2689, 540, 519, 20569, 540, 519, 13573, 880, 5251, 689, 519, 9510, 7725, 547, 519, 21836, 21439, 454, 9596, 811, 827, 519, 1950, 2729, 543, 8446, 540, 21263, 525, 454, 1432, 798, 596, 917, 827, 3552, 30597, 281, 741, 1272, 9979, 267, 875, 789, 616, 3542, 3990, 267, 3347, 609, 13271, 267, 1141, 547, 1265, 873, 267, 543, 875, 547, 2697, 873, 286, 13028, 782, 713, 543, 811, 563, 20524, 875, 547, 21028, 938, 5065, 7542, 985, 1210, 6978, 5546, 543, 824, 10058, 2934, 563, 12648, 606, 4879, 540, 707, 27386, 5619, 1983, 543, 4309, 513, 15149, 689, 519, 15636, 19680, 5980, 540, 6628, 543, 8581, 454, 2304, 4367, 547, 519, 14498, 543, 8446, 540, 22072, 10987, 267, 609, 513, 7848, 540, 4928, 543, 2361, 7886, 563, 2304, 2606, 1079, 6377, 1576, 585, 4896, 5461, 538, 1565, 811, 827, 10987, 543, 519, 4739, 540, 13520, 15209 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 340, 7690, 267, 18940, 585, 2883, 1489, 543, 19015, 585, 10647, 6915, 10420, 1759, 2361, 8062, 269, 4746, 267, 2027, 7064, 547, 2199, 6705, 585, 741, 1489, 543, 585, 10647, 8062, 593, 741, 2361, 269, 0, 21589, 706, 321, 545, 607, 513, 23008, 320, 8071, 320, 538, 519, 6259, 18831, 540, 519, 14655, 13323, 454, 288, 1007, 8059, 320, 21473, 8619, 267, 21460, 321, 545, 267, 568, 6932, 538, 519, 6259, 2477, 540, 519, 14655, 13323, 269, 4706, 10409, 5888, 568, 3989, 676, 519, 4389, 543, 16866, 3029, 540, 12428, 543, 21460, 269, 634, 1957, 12116, 10409, 267, 1514, 267, 543, 3140, 3344, 540, 922, 1914, 565, 3907, 2065, 1118, 5346, 269, 1234, 9690, 3270, 540, 8994, 9194, 1063, 29240, 543, 12075, 723, 5129, 513, 11358, 1909, 538, 519, 1646, 540, 713, 8059, 320, 21473, 8619, 269, 4653, 267, 621, 5526, 547, 15449, 622, 519, 1360, 5321, 540, 519, 29240, 269, 634, 1806, 540, 10409, 2934, 630, 18474, 5209, 540, 21460, 543, 12428, 264, 540, 519, 533, 573, 6265, 5018, 538, 519, 1699, 1353, 1397, 602, 12124, 12428, 568, 16561, 4914, 7506, 269, 901, 27614, 540, 4914, 4654, 814, 15372, 539, 1346, 29240, 945, 1616, 547, 8190, 519, 19454, 540, 12428, 269, 1215, 1279, 21460, 321, 545, 568, 2469, 547, 7639, 8015, 29240, 685, 3646, 547, 4688, 12428, 689, 971, 4914, 7506, 286, 634, 1957, 20147, 609, 1179, 2827, 827, 519, 2104, 540, 21460, 321, 545, 269, 0, 9743, 745, 7695, 568, 782, 827, 6482, 543, 1852, 563, 12179, 1184, 2030, 814, 547, 11179, 6895, 543, 1852, 2185, 1271, 6724, 563, 1607, 666, 1152, 581, 2944, 609, 519, 948, 540, 31627, 563, 2414, 6895, 11179, 267, 1101, 891, 6724, 616, 547, 581, 6027, 543, 1287, 733, 549, 1194, 563, 9288, 5501, 618, 281, 1703, 616, 1585, 7405, 2139, 585, 6482, 540, 1142, 540, 519, 1657, 6724, 563, 18208, 675, 281, 16242, 12238, 2471, 540, 1585, 2010, 267, 16242, 3690, 2466, 614, 779, 3092, 563, 23044, 281, 966, 29448, 2095, 7397, 267, 25080, 2095, 7397, 267, 307, 7875, 710, 2095, 7397, 267, 7136, 2095, 7397, 267, 20764, 19441, 2095, 332, 4394, 267, 2107, 12715, 2095, 7397, 3092, 563, 307, 17687, 281, 18650, 18323, 23618, 832, 630, 20670, 17762, 1070, 26457, 665, 537, 1255, 267, 26457, 626, 832, 267, 18323, 12238, 2471, 3092, 563, 25583, 281, 27018, 16242, 3690, 2466, 1562, 630, 7894, 307, 1070, 5426, 570, 2651, 338, 267, 5426, 12238, 2471, 267, 15585, 600, 4394, 3092, 563, 6944, 1503, 281, 769, 1931, 547, 1852, 519, 1657, 6724, 267, 649, 991, 31553, 1949, 269, 634, 4922, 1031, 1852, 1949, 616, 563, 18850, 30744, 6513, 3590, 630, 291, 5425, 2567, 589, 6713, 1852, 1062, 538, 799, 8596, 270, 1098, 3027, 619, 616, 7856, 2059, 519, 3259, 543, 4560, 540, 519, 2030, 543, 782, 891, 616, 10562, 538, 513, 3060, 609, 27196, 267, 5665, 10473, 3092, 563, 28770, 11765, 1744, 583, 13560, 3590, 630, 2464, 291, 2567, 589, 5488, 1852, 1062, 799, 10416, 8075, 782, 519, 1950, 17787, 563, 17798, 621, 568, 2922, 547, 2161, 602, 5442, 22552, 9331, 7728, 9569, 568, 519, 2295, 540, 1022, 1184, 2030, 563, 2562, 22552, 9331, 7728, 9569, 22164, 2207, 808, 15477, 23370, 31304, 303, 3582, 454, 18800, 338, 1849, 1304, 779, 2930, 12319, 543, 4170, 563, 6944, 1503, 338, 540, 1016, 4186, 26167, 9015, 4702, 6054, 563, 9377, 1149, 4702, 4170, 563, 7093, 335, 4100, 519, 2930, 12319, 585, 31627, 543, 1949, 1270, 29792, 543, 15824, 519, 2930, 20241, 563, 17809, 1938, 2930, 1489, 547, 5741, 1895, 563, 18893, 574, 3278, 6293, 1949, 4180, 8766, 1942, 543, 5187, 2305, 538, 10220, 609, 519, 2838, 2773, 563, 7093, 335, 4100, 16551, 585, 7405, 267, 1949, 630, 291, 5425, 267, 11536, 291, 267, 674, 261, 294, 264, 543, 10380, 563, 7093, 335, 4100, 6198, 2079, 630, 31553, 267, 11536, 291, 267, 674, 261, 294, 1916, 25363, 906, 6293, 1469, 1374, 593, 623, 261, 2839, 779, 563, 7093, 335, 4100, 6293, 1239, 9212, 543, 8520, 12222, 563, 7093, 335, 4100, 6293, 1570, 1491, 11325, 563, 25363, 906, 1469, 4702, 2238, 630, 26792, 8083, 267, 3535, 902, 267, 7028, 2507, 1916, 8110, 13257, 519, 674, 6993, 11053, 563, 289, 14209, 610, 9457, 4110, 609, 29286, 538, 5201, 610, 6850, 24578, 2559, 923, 543, 666, 1459, 513, 2324, 1995, 540, 693, 2547, 476, 276, 1296, 563, 14187, 2792, 543, 14375, 1983, 3248, 14187, 4971, 540, 10656, 543, 2296, 3248, 15447, 1578, 543, 1995, 538, 519, 3282, 543, 3154, 2872, 568, 606, 5413, 3248, 15447, 1578, 540, 10656, 543, 3864, 6042, 3823, 519, 3864, 11083, 13052, 1315, 590, 6579, 4808, 568, 513, 7132, 3248, 15447, 1578, 540, 9501, 296, 630, 2562, 339, 8962, 264, 568, 606, 5413, 563, 21581, 28951, 281, 1315, 476, 276, 0, 8512, 540, 4633, 912, 25519, 6748, 547, 957, 282, 791, 2454, 267, 12018, 267, 3092, 563, 15812, 539, 676, 519, 957, 540, 6972, 912, 763, 3791, 3923, 540, 519, 1032, 267, 2348, 476, 4029, 2395, 454, 2414, 1397, 547, 581, 3020, 676, 7744, 610, 740, 706, 1424, 2963, 282, 6961, 912, 2414, 4196, 513, 1184, 593, 454, 2414, 8858, 568, 3989, 607, 547, 4159, 1945, 15597, 267, 610, 547, 1397, 4191, 540, 513, 1978, 2623, 610, 12402, 563, 2414, 8858, 26723, 550, 520, 13124, 282, 1166, 13550, 912, 763, 4214, 540, 705, 583, 568, 547, 5905, 610, 581, 1985, 547, 1945, 563, 2414, 16013, 519, 6316, 540, 454, 2414, 581, 733, 27631, 563, 2414, 8831, 2059, 519, 6316, 540, 282, 3808, 454, 2414, 1847, 1394, 543, 8521, 936, 513, 1747, 267, 3092, 5919, 3444, 543, 973, 1484, 454, 2414, 1847, 2059, 513, 1576, 267, 607, 513, 13093, 1748, 13549, 538, 519, 9240, 913, 540, 513, 2594, 563, 2414, 1780, 936, 693, 513, 1900, 282, 547, 1900, 936, 563, 2414, 3356, 568, 547, 1847, 4464, 610, 4434, 2509, 12032, 563, 297, 712, 2284, 568, 3989, 607, 547, 2951, 563, 2414, 1685, 513, 2866, 3635, 563, 2414, 8399, 610, 1847, 24847, 538, 513, 1978, 4287, 610, 2059, 513, 1576, 912, 305, 1052, 568, 3989, 607, 547, 1305, 610, 1747, 538, 1931, 610, 2990, 563, 2414, 3802, 693, 513, 16837, 569, 10605, 282, 588, 2651, 563, 2414, 3802, 538, 606, 7329, 548, 267, 16837, 569, 6073, 282, 1094, 684, 614, 454, 2414, 1847, 593, 3723, 282, 1900, 282, 3802, 454, 263, 12385, 24136, 264, 589, 6310, 1843, 267, 3335, 513, 1305, 540, 5036, 267, 602, 568, 2356, 11295, 547, 5581, 513, 2039, 2066, 799, 4632, 610, 824, 3615, 630, 7945, 607, 513, 11282, 1062, 264, 666, 581, 3989, 563, 763, 4214, 540, 2097, 568, 547, 1847, 6251, 547, 519, 1270, 6856, 563, 2414, 3802, 267, 32603, 267, 911, 5404, 267, 610, 15046, 454, 2414, 1847, 17116, 569, 610, 2367, 5217, 569, 563, 2414, 3802, 561, 877, 569, 610, 1847, 538, 606, 12150, 6752, 563, 2414, 23249, 568, 3989, 607, 547, 3247, 585, 513, 5618, 1974, 540, 942, 563, 2414, 2097, 2282, 610, 683, 13145, 547, 454, 8340, 1776, 2262, 585, 15292, 532, 269, 769, 713, 2985, 596, 666, 3605, 476, 7918, 19655, 267, 1884, 11618, 267, 18986, 11703, 7215, 267, 543, 1644, 1913, 585, 15292, 532, 267, 899, 281, 23312, 267, 2384, 532, 267, 14027, 267, 25937, 267, 911, 332, 4771, 267, 19482, 267, 19480, 267, 5595, 2173, 31186, 267, 1273, 13764, 267, 10992, 543, 538, 5163, 269, 0, 347, 314, 9616, 13832, 316, 7353, 19212, 781, 8074, 2008, 21511, 6519, 853, 1251, 630, 290, 6625, 807, 524, 6625, 807, 264, 568, 513, 1804, 530, 8172, 6177, 538, 519, 588, 1251, 1920, 595, 6625, 328, 13160, 267, 9960, 538, 519, 15911, 2694, 540, 2342, 630, 333, 2180, 547, 6480, 8205, 1070, 22070, 4000, 267, 543, 22236, 5607, 630, 324, 770, 547, 7013, 27782, 16330, 1040, 898, 568, 513, 2178, 27540, 267, 5162, 532, 5631, 538, 9341, 4000, 267, 1524, 547, 519, 5045, 540, 3162, 4000, 267, 543, 849, 538, 519, 4095, 1016, 29657, 8198, 2005, 568, 513, 5458, 6177, 267, 476, 1911, 268, 10219, 4699, 630, 2412, 268, 2004, 538, 4700, 7381, 267, 609, 513, 476, 14028, 268, 1220, 4699, 630, 8618, 268, 8064, 538, 264, 12209, 3966, 543, 513, 2597, 540, 476, 273, 269, 274, 268, 275, 269, 276, 4846, 630, 276, 268, 1015, 7273, 1040, 898, 568, 4625, 3043, 4849, 585, 519, 3109, 13617, 8184, 17207, 267, 543, 922, 2699, 3915, 543, 7953, 267, 799, 616, 3109, 593, 5104, 32596, 269, 898, 15211, 7444, 543, 20406, 593, 519, 2666, 269, 6145, 782, 588, 3311, 609, 519, 9868, 540, 519, 2274, 696, 9953, 3342, 12593, 267, 621, 13733, 609, 922, 8405, 856, 560, 4958, 3481, 563, 19669, 853, 3311, 7048, 593, 3350, 1063, 5687, 1023, 540, 3905, 2011, 585, 1279, 3845, 8184, 267, 2921, 1390, 5413, 540, 873, 1282, 5993, 4955, 5928, 1063, 2342, 543, 4427, 25781, 4000, 269, 634, 20125, 8905, 5045, 1131, 1491, 873, 936, 519, 11335, 267, 855, 2094, 5687, 1023, 1152, 1106, 936, 2244, 267, 588, 3311, 1491, 513, 1033, 712, 269, 634, 3681, 616, 3908, 267, 1317, 547, 519, 7532, 6013, 519, 26768, 19164, 267, 1141, 621, 568, 2352, 547, 1265, 1426, 543, 1216, 910, 543, 547, 519, 7178, 6013, 519, 9533, 7909, 269, 901, 3762, 1079, 7522, 9194, 23725, 832, 281, 9456, 588, 3311, 3444, 519, 2269, 1080, 540, 18548, 1602, 639, 547, 11894, 267, 29906, 519, 2274, 2779, 630, 306, 344, 6319, 30071, 3316, 517, 268, 29994, 6261, 531, 32347, 1070, 543, 1287, 21271, 519, 19300, 4673, 19164, 676, 1739, 519, 20407, 267, 1247, 7262, 3283, 8038, 998, 519, 2269, 1080, 540, 18582, 1537, 30198, 269, 23657, 1259, 267, 519, 588, 3311, 666, 1205, 948, 689, 519, 5687, 1023, 585, 3592, 519, 3003, 7552, 543, 3976, 4688, 1648, 563, 19669, 588, 3311, 9742, 538, 1930, 3484, 1633, 2127, 609, 1569, 547, 23047, 1506, 19126, 267, 2679, 513, 6529, 9566, 538, 4054, 267, 593, 5656, 267, 610, 2027, 5867, 269, 5221, 621, 568, 9763, 607, 6177, 540, 1434, 9939, 267, 621, 568, 711, 30201, 3176, 267, 543, 1419, 20097, 2673, 547, 1480, 3110, 2787, 269, 769, 7013, 2342, 267, 588, 3311, 262, 20097, 666, 581, 2938, 593, 13039, 543, 824, 5656, 269, 898, 1419, 3029, 1507, 10125, 269, 6145, 1034, 540, 922, 14077, 267, 621, 20555, 5631, 593, 20883, 543, 1804, 7786, 267, 855, 849, 1762, 5017, 267, 28499, 543, 23224, 563, 763, 3043, 588, 1251, 568, 3592, 14980, 4849, 585, 519, 26776, 8994, 3915, 12641, 30568, 950, 4079, 2743, 693, 519, 9566, 269, 630, 1410, 1356, 696, 3144, 689, 28957, 3820, 994, 1607, 6519, 853, 1251, 2729, 693, 513, 25113, 585, 5017, 538, 654, 1023, 549, 1372, 267, 7187, 5125, 269, 634, 25113, 2982, 513, 5458, 3099, 540, 5017, 543, 568, 1767, 547, 581, 519, 7887, 540, 922, 2186, 5001, 269, 3509, 5017, 616, 26870, 972, 538, 1931, 547, 1832, 909, 513, 1164, 2551, 543, 1315, 610, 2132, 873, 547, 519, 3552, 563, 13048, 281, 804, 19861, 856, 930, 16297, 532, 17207, 593, 519, 3039, 267, 5186, 5529, 267, 3773, 7406, 543, 759, 1242, 454, 12179, 11925, 267, 8292, 543, 31886, 616, 10950, 563, 18744, 10805, 7066, 330, 26903, 2818, 949, 2557, 8666, 4967, 269, 0, 15037, 476, 2190, 267, 476, 1708, 271, 5788, 891, 8454, 3211, 1683, 5363, 3308, 11226, 865, 602, 1053, 1957, 1603, 3028, 2852, 666, 1294, 585, 1888, 585, 2014, 543, 1198, 1557, 2933, 602, 476, 1321, 270, 1321, 815, 476, 273, 270, 273, 543, 3388, 538, 1063, 269, 2979, 2262, 2042, 12193, 10063, 24862, 3211, 616, 2966, 547, 948, 3610, 267, 3237, 267, 543, 21493, 946, 519, 2835, 689, 519, 2979, 2262, 2042, 12193, 3126, 538, 519, 4928, 543, 519, 1753, 721, 28296, 10160, 10467, 2262, 2042, 269, 11160, 476, 1321, 267, 476, 1001, 280, 5788, 1820, 519, 7824, 281, 649, 723, 476, 274, 3211, 585, 1142, 1888, 538, 1870, 1544, 1981, 2079, 1383, 519, 5850, 1966, 6061, 2042, 538, 6824, 269, 1224, 811, 1711, 543, 1820, 707, 1378, 2979, 3211, 609, 2979, 269, 1620, 8454, 630, 325, 3555, 948, 264, 2073, 4946, 8454, 267, 14291, 8454, 883, 17447, 267, 6697, 8454, 267, 2241, 8454, 267, 6824, 7503, 267, 6824, 2262, 2042, 3092, 269, 1491, 513, 1449, 1107, 8454, 1568, 11855, 2985, 16304, 25034, 2433, 891, 3211, 267, 1603, 2689, 4574, 15044, 676, 3446, 1377, 267, 1557, 1603, 6351, 3382, 513, 581, 19354, 7260, 2689, 1557, 3575, 540, 1983, 689, 519, 6437, 269, 585, 2042, 602, 2154, 811, 982, 835, 1900, 267, 513, 9488, 1900 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21984, 6316, 3365, 1172, 2946, 568, 513, 2442, 4480, 1369, 519, 2361, 540, 13492, 543, 12348, 267, 3226, 1851, 18055, 1235, 543, 31910, 1562, 269, 2311, 922, 4295, 267, 6151, 6316, 3365, 1172, 2946, 3322, 1140, 2286, 4773, 540, 5958, 547, 513, 4282, 5958, 1510, 1101, 7432, 610, 18138, 519, 8728, 269, 901, 2164, 538, 513, 1863, 845, 267, 5214, 1413, 602, 666, 1039, 3308, 1719, 543, 9403, 547, 1022, 1297, 540, 3785, 269, 769, 713, 3296, 267, 649, 786, 2263, 519, 1184, 540, 6151, 6316, 3365, 1172, 2946, 267, 1519, 2645, 543, 2326, 267, 7041, 2553, 267, 543, 1585, 2409, 540, 13613, 269, 1284, 786, 849, 5490, 883, 930, 540, 519, 3860, 7399, 6488, 539, 676, 713, 11684, 4480, 780, 6524, 11362, 883, 519, 25727, 540, 6151, 6316, 3365, 1172, 2946, 267, 621, 781, 1271, 547, 24559, 6000, 609, 519, 2556, 2645, 543, 2326, 269, 2755, 1082, 22927, 6191, 2097, 9280, 609, 2596, 2046, 518, 3952, 5078, 585, 3365, 1172, 2946, 960, 267, 7463, 2046, 518, 3952, 666, 1118, 519, 1184, 811, 3608, 543, 5730, 269, 2290, 971, 1383, 568, 519, 2312, 10116, 20878, 3723, 5018, 538, 938, 6679, 1349, 267, 799, 2934, 513, 3710, 2987, 3391, 585, 4977, 9378, 1450, 1734, 950, 2324, 609, 1507, 4773, 269, 3958, 267, 1970, 695, 1678, 26882, 6823, 8747, 540, 891, 3952, 616, 2139, 267, 3850, 873, 547, 581, 1031, 30430, 2066, 2789, 12478, 267, 1519, 590, 5424, 267, 19656, 267, 9040, 2643, 1442, 267, 3967, 727, 267, 8230, 3467, 267, 6519, 267, 808, 25431, 267, 543, 3244, 13109, 780, 5194, 1898, 5057, 540, 3811, 6151, 6316, 3365, 1172, 2946, 568, 7446, 3617, 17234, 543, 16060, 269, 13575, 6340, 267, 17426, 26181, 976, 543, 13274, 839, 960, 1655, 1813, 547, 741, 8112, 543, 8897, 540, 7829, 282, 2705, 267, 17634, 609, 1114, 11103, 543, 12035, 666, 6556, 10578, 2164, 269, 1306, 585, 16060, 267, 4874, 6856, 3681, 899, 1346, 6035, 676, 27387, 301, 15967, 1683, 5140, 15006, 543, 4187, 547, 535, 2001, 532, 267, 1818, 873, 1134, 25252, 1243, 585, 1312, 1688, 543, 3684, 3365, 1172, 2946, 3156, 269, 5015, 267, 513, 2647, 2039, 540, 4778, 5849, 17356, 609, 1034, 6469, 22927, 6191, 543, 521, 1120, 619, 780, 5629, 596, 723, 10356, 707, 7727, 267, 1697, 7041, 3587, 2629, 585, 8236, 3318, 23302, 2164, 269, 10670, 676, 5969, 856, 707, 6074, 5546, 1210, 8325, 23805, 610, 513, 27414, 2759, 614, 267, 2921, 1416, 547, 2226, 5812, 7516, 543, 26546, 8728, 269, 1280, 17208, 3029, 267, 2015, 14139, 17074, 1500, 689, 5230, 3556, 18450, 610, 5068, 547, 2327, 6111, 1282, 16439, 543, 5969, 269, 898, 949, 849, 581, 5363, 547, 840, 2914, 1662, 782, 17234, 547, 7413, 16756, 720, 543, 9004, 1761, 2681, 6926, 2644, 780, 4415, 707, 3334, 4712, 267, 972, 616, 1896, 4485, 547, 20170, 873, 547, 519, 4282, 1570, 269, 7435, 3365, 1172, 2946, 3091, 26080, 1852, 543, 2636, 585, 11029, 11941, 2059, 519, 1259, 267, 1247, 9001, 1507, 4881, 25573, 610, 24120, 19173, 1472, 519, 15943, 269, 1717, 267, 713, 1505, 666, 581, 942, 21791, 543, 3340, 9639, 543, 2259, 269, 17968, 267, 3684, 3365, 1172, 2946, 2488, 3152, 3432, 543, 7833, 640, 267, 1419, 5473, 2901, 1990, 580, 345, 698, 610, 2893, 514, 19173, 5468, 4470, 593, 2123, 13283, 269, 17859, 540, 1935, 267, 1491, 1416, 547, 18172, 8936, 1142, 3337, 1247, 4509, 8082, 3666, 1063, 1283, 543, 27342, 16535, 16060, 780, 1103, 1840, 547, 2757, 1688, 543, 3684, 2553, 267, 2413, 2029, 814, 9450, 519, 7706, 540, 7872, 1369, 6151, 6316, 3365, 1172, 2946, 269, 7981, 1242, 22927, 6191, 1631, 2709, 6131, 3252, 585, 3365, 1172, 2946, 960, 267, 2347, 609, 1982, 30154, 3270, 543, 2688, 14184, 19173, 13080, 269, 1452, 7760, 5512, 3755, 547, 1711, 1950, 6272, 3533, 543, 7561, 267, 6220, 2609, 971, 607, 2482, 1359, 267, 5552, 730, 25361, 267, 543, 16560, 1196, 3101, 269, 5047, 267, 5499, 2472, 899, 535, 639, 1043, 3103, 7520, 2656, 13307, 543, 16345, 540, 1367, 5546, 267, 6908, 23164, 519, 2949, 1184, 780, 19741, 2930, 15334, 267, 6151, 6316, 3365, 1172, 2946, 7512, 5876, 543, 7499, 4082, 998, 19511, 946, 540, 1106, 267, 2681, 267, 543, 5888, 269, 6333, 3695, 4798, 6273, 676, 2470, 267, 6189, 267, 610, 7493, 1148, 267, 11319, 6302, 543, 9256, 19635, 18305, 547, 3132, 2189, 15885, 269, 1635, 8508, 519, 7915, 5714, 640, 540, 713, 4480, 267, 596, 666, 11349, 513, 10058, 12716, 10452, 707, 1378, 7209, 543, 5075, 780, 1103, 3932, 267, 6151, 6316, 3365, 1172, 2946, 4564, 606, 3015, 2943, 14785, 28627, 585, 1582, 22325, 1369, 519, 1158, 540, 13492, 543, 12348, 269, 3414, 6297, 5542, 540, 2645, 267, 9488, 7041, 267, 17117, 540, 4909, 1983, 267, 543, 22371, 547, 5647, 267, 9439, 693, 1169, 1377, 666, 3035, 10875, 2164, 602, 16637, 6071, 10342, 543, 29954, 790, 547, 3020, 26274, 269, 6787, 6964, 538, 844, 2830, 14708, 267, 7802, 4070, 267, 1753, 26955, 14585, 267, 610, 28707, 17960, 267, 6151, 6316, 3365, 1172, 2946, 6763, 26405, 547, 25407, 543, 8300, 1346, 945, 29937, 922, 3808, 1652, 1761, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 1772, 634, 7454, 19656, 29828, 532, 10724, 538, 476, 1708, 274, 454, 18850, 3307, 633, 13068, 476, 272, 268, 275, 630, 5226, 6621, 10759, 264, 2372, 559, 1154, 29828, 532, 10724, 4964, 518, 14272, 609, 22750, 6651, 910, 674, 1080, 2353, 8899, 1744, 1678, 10965, 777, 268, 4002, 590, 5424, 267, 19656, 267, 9040, 2643, 1442, 267, 3967, 727, 267, 8230, 3467, 267, 6519, 267, 808, 25431, 267, 3244, 13109, 543, 2859, 2336, 292, 2091, 1233, 910, 590, 1706, 992, 476, 1839, 910, 3192, 853, 3558, 8950, 1242, 29828, 532, 10724, 9578, 661, 2091, 1233, 7585, 321, 1231, 1299, 476, 277, 4062, 7457, 800, 14272, 14173, 454, 268, 590, 1706, 992, 476, 1839, 910, 3192, 19173, 2780, 1242, 22927, 3684, 609, 9904, 454, 268, 22291, 476, 1015, 3640, 540, 661, 2091, 1233, 7585, 321, 1231, 454, 268, 22291, 476, 277, 4062, 661, 2091, 1233, 7457, 800, 2372, 559, 1154, 14272, 14173, 454, 268, 901, 590, 1706, 992, 476, 1839, 22753, 814, 1018, 596, 991, 547, 1205, 3323, 593, 707, 1985, 1788, 563, 1320, 1348, 301, 15967, 12443, 6856, 21150, 5514, 2044, 10724, 27387, 267, 476, 8287, 27413, 267, 476, 2412, 268, 26574, 267, 476, 20862, 25286, 323, 269, 12882, 11366, 2108, 589, 313, 302, 6363, 872, 29828, 532, 4675, 15533, 609, 7822, 15873, 12882, 11366, 2108, 3281, 26702, 609, 19656, 267, 9040, 2643, 1442, 267, 3967, 727, 267, 590, 5424, 267, 26036, 336, 12534, 3534, 267, 543, 2859, 454, 268, 966, 4353, 2839, 590, 2316, 307, 6224, 2464, 1107, 2037, 5341, 707, 588, 527, 30987, 609, 3684, 30927, 8142, 689, 27387, 301, 15967, 256, 17292, 689, 476, 8287, 561, 755, 9317, 24698, 602, 5706, 11702, 1256, 1310, 7368, 11067, 267, 543, 14219, 1508, 707, 13144, 2336, 268, 670, 5456, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 1177, 22750, 10331, 1172, 2946, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 10331, 1664, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 942, 543, 1686, 256, 1284, 2811, 827, 547, 7832, 593, 606, 7045, 602, 786, 1491, 721, 1394, 5215, 540, 1296, 883, 519, 2250, 267, 3695, 4241, 13742, 267, 3504, 12977, 267, 543, 6909, 2984, 2451, 3297, 676, 1004, 945, 5030, 1279, 3516, 269, 901, 1576, 786, 6338, 596, 547, 519, 9159, 1158, 540, 22884, 543, 6189, 910, 1079, 4610, 602, 948, 3142, 1686, 547, 1272, 2439, 19425, 2801, 5505, 616, 3713, 1161, 945, 1353, 1480, 2534, 543, 2528, 689, 519, 2250, 1210, 3615, 789, 4734, 3297, 269, 5994, 1373, 2111, 547, 3180, 513, 1494, 1500, 936, 476, 1220, 271, 1296, 3516, 610, 4466, 10881, 547, 4194, 13655, 899, 875, 1004, 3710, 7372, 6149, 3889, 1510, 2413, 2645, 256, 2334, 781, 1018, 4974, 22884, 666, 1745, 899, 780, 3086, 1577, 781, 4685, 883, 930, 1114, 2010, 540, 22884, 649, 3513, 2263, 1927, 1384, 272, 269, 2878, 7093, 18856, 26337, 4995, 7043, 1354, 2854, 5638, 941, 6854, 267, 3425, 1869, 2813, 5863, 1919, 256, 3245, 18991, 18705, 15561, 21650, 1031, 585, 10122, 547, 11999, 18810, 20077, 856, 540, 4224, 269, 1452, 3688, 2995, 721, 827, 2038, 3425, 543, 741, 1259, 540, 2713, 1256, 950, 972, 14201, 1405, 1022, 2835, 610, 6054, 1472, 563, 825, 2608, 7078, 15846, 13028, 519, 4583, 13946, 10367, 693, 700, 2444, 14513, 538, 5333, 267, 799, 7866, 875, 3860, 543, 9952, 22300, 5159, 941, 2439, 273, 269, 2878, 23208, 26337, 4995, 1879, 1004, 3323, 5329, 5638, 267, 621, 8118, 909, 513, 2898, 1007, 3184, 585, 24085, 547, 3605, 269, 4635, 5931, 2059, 609, 2168, 3788, 267, 3140, 24085, 4062, 1927, 6946, 13410, 540, 7239, 543, 4529, 2429, 1686, 563, 567, 2608, 7078, 15846, 17451, 9289, 875, 31503, 2731, 5030, 286, 6744, 856, 5800, 9576, 267, 25706, 1107, 513, 4884, 10032, 676, 13091, 543, 12617, 896, 5070, 543, 1216, 267, 8497, 922, 11580, 2394, 4362, 5553, 2663, 780, 274, 269, 2878, 15152, 4248, 26337, 4995, 9894, 596, 917, 602, 3141, 5287, 9635, 543, 24760, 4872, 3180, 1082, 2150, 1245, 8941, 1932, 286, 7201, 4248, 24085, 12703, 2620, 15798, 543, 669, 11035, 7297, 547, 1265, 891, 6456, 16782, 543, 1451, 811, 827, 17535, 4123, 11507, 267, 17189, 13137, 267, 543, 4503, 10125, 563, 567, 2608, 7078, 15846, 10812, 519, 1650, 540, 519, 4165, 1731, 344, 1492, 571, 26676, 342, 516, 1188, 1055, 519, 5259, 6532, 540, 11511, 974, 267, 1141, 3173, 1336, 606, 11212, 4359, 24666, 3926, 1572, 519, 834, 12901, 1731, 344, 1492, 571, 11115, 1143, 2437, 6580, 1394, 5176, 476, 1220, 271, 1296, 2439, 275, 269, 2878, 300, 677, 4231, 26337, 4995, 24356, 19746, 4609, 2337, 24085, 1174, 4978, 4478, 2669, 543, 1310, 5158, 2066, 1585, 4529, 269, 3414, 7421, 30401, 267, 9723, 2125, 267, 543, 524, 655, 2678, 625, 267, 789, 21048, 559, 12738, 267, 1514, 4567, 525, 267, 543, 3006, 1920, 4296, 1851, 1346, 9788, 547, 1964, 563, 567, 2608, 7078, 15846, 1133, 30584, 519, 9814, 540, 5527, 781, 11599, 943, 21198, 338, 543, 741, 14969, 9723, 2125, 4904, 609, 4154, 267, 21889, 267, 1426, 267, 543, 824, 10475, 5370, 5921, 547, 13173, 873, 883, 519, 1310, 5158, 780, 276, 269, 2878, 26581, 7434, 26337, 4995, 1306, 15327, 267, 15183, 267, 543, 6283, 1949, 2968, 1898, 2694, 540, 2486, 267, 865, 1705, 4853, 22884, 269, 898, 6212, 593, 1620, 6639, 7760, 267, 4074, 2175, 267, 543, 2825, 5222, 1282, 519, 11633, 7169, 563, 567, 2608, 7078, 15846, 5548, 557, 883, 519, 2729, 540, 1126, 4600, 1282, 519, 16972, 5736, 676, 6313, 24790, 540, 10412, 14200, 267, 5755, 15183, 267, 543, 7841, 1811, 780, 277, 269, 2878, 289, 10041, 26337, 4995, 18623, 946, 15456, 4681, 547, 1732, 10146, 3909, 5931, 971, 607, 519, 6426, 269, 1358, 1413, 585, 2963, 5885, 13400, 2621, 267, 3197, 267, 543, 4025, 1247, 849, 6236, 2686, 8658, 563, 567, 2608, 7078, 15846, 6258, 827, 3751, 6424, 781, 12081, 998, 2487, 14155, 725, 13031, 25167, 6821, 267, 19235, 267, 543, 11889, 7740, 2404, 609, 1010, 10806, 780, 3086, 602, 649, 723, 8268, 1896, 8371, 540, 22884, 1577, 781, 2490, 938, 3007, 2509, 6189, 1107, 1776, 6885, 883, 519, 2250, 269, 2755, 16413, 1374, 5656, 2221, 267, 16413, 689, 1279, 3516, 2451, 3297, 15999, 20375, 267, 17633, 267, 5321, 267, 543, 1857, 5624, 602, 13686, 7499, 1983, 543, 4702, 2261, 12069, 780, 3528, 1565, 827, 11265, 6163, 267, 2326, 267, 2553, 267, 543, 3252, 267, 649, 2744, 3407, 4030, 883, 3309, 7239, 262, 2081, 540, 1272, 267, 2418, 267, 4066, 267, 543, 11615, 269, 1280, 3236, 267, 9236, 4936, 16822, 30965, 11596, 543, 10120, 3032, 1117, 23552, 2636, 721, 547, 5660, 3604, 538, 9913, 7375, 543, 5289, 20174, 1063, 891, 5712, 780, 1103, 713, 1576 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]