[ [ 6, 9, 17, 19, 21, 32, 33, 42, 47, 49, 50, 54, 57, 63, 65, 69, 72, 76, 78, 88, 89, 93, 95, 101, 105, 
      110, 115, 116, 120, 130, 134, 137, 139, 147, 148, 154, 158, 167, 178, 183, 189, 200, 201, 206, 
      211, 214, 218, 220, 221, 223, 230, 239, 242, 244, 254, 257, 261, 264, 268, 277, 279, 282, 284, 
      288, 289, 292, 294, 295, 307, 308, 312, 313, 317, 325, 332, 334, 343, 345, 350, 351, 352, 355, 
      376, 379, 382, 388, 395, 396, 397, 398, 406, 407, 411, 420, 440, 458, 464, 470, 475, 486, 487, 
      505, 507, 508, 523, 529, 531, 534, 546, 565, 572, 573, 589, 598, 603, 606, 609, 613, 618, 623, 
      625, 631, 635, 636, 637, 645, 653, 662, 672, 677, 678, 682, 691, 704, 705, 715, 716, 719, 720, 
      721, 727, 743, 744, 745, 753, 756, 760, 765, 773, 774, 779, 795, 815, 817, 824, 825, 837, 851, 
      853, 855, 857, 863, 866, 873, 874, 876, 879, 889, 891, 898, 924, 925, 930, 931, 935, 941, 948, 
      949, 950, 960, 968, 973, 980, 983, 984, 985, 989, 990, 991, 1006, 1010, 1013, 1016, 1022, 1023, 
      1027, 1029, 1030, 1032, 1033, 1034, 1036, 1042, 1046, 1051, 1057, 1060, 1063, 1067, 1069, 1074, 
      1075, 1078, 1081, 1085, 1092, 1093, 1095, 1097, 1108, 1116, 1127, 1129, 1132, 1134, 1135, 1136, 
      1137, 1139, 1148, 1163, 1177, 1178, 1180, 1181, 1184, 1188, 1189, 1194, 1198, 1199, 1200, 1203, 
      1226, 1228, 1234, 1240, 1246, 1248, 1259, 1263, 1272, 1283, 1289, 1290, 1292, 1293, 1294, 1307, 
      1308, 1309, 1317, 1322, 1328, 1332, 1339, 1347, 1349, 1352, 1355, 1356, 1360, 1363, 1364, 1367, 
      1371, 1399, 1404, 1405, 1411, 1414, 1416, 1420, 1422, 1424, 1441, 1445, 1446, 1451, 1455, 1458, 
      1461, 1469, 1477, 1478, 1479, 1480, 1483, 1484, 1490, 1502, 1513, 1518, 1522, 1532, 1538, 1540, 
      1543, 1547, 1549 ], [ 2, 2, 2, 2, 3, 3, 5, 7, 7, 8, 11, 11, 12, 14, 18, 21, 23, 23, 24, 24, 25, 
      29, 30, 31, 32, 32, 33, 34, 34, 35, 35, 36, 36, 38, 39, 39, 41, 43, 44, 46, 48, 48, 49, 51, 52, 
      55, 55, 56, 56, 56, 56, 58, 58, 60, 61, 62, 64, 64, 65, 65, 67, 67, 70, 72, 72, 74, 75, 75, 76, 
      76, 77, 80, 81, 81, 81, 81, 82, 83, 84, 86, 87, 87, 88, 88, 90, 91, 92, 94, 94, 96, 96, 97, 97, 
      98, 98, 99, 99, 101, 101, 102, 103, 103, 107, 108, 112, 115, 115, 115, 117, 118, 121, 122, 122, 
      124, 124, 126, 126, 127, 133, 134, 134, 137, 137, 138, 138, 139, 139, 140, 141, 141, 142, 142, 
      144, 144, 145, 146, 147, 152, 152, 152, 152, 153, 154, 155, 156, 158, 158, 160, 160, 161, 161, 
      161, 161, 162, 162, 162, 162, 164, 165, 168, 168, 169, 171, 171, 174, 174, 175, 176, 176, 177, 
      177, 181, 181, 182, 184, 185, 185, 187, 187, 190, 190, 192, 193, 193, 193, 194, 195, 196, 196, 
      197, 197, 199, 201, 202, 203, 203, 204, 204, 205, 206, 207, 207, 208, 210, 210, 211, 211, 212, 
      213, 214, 216, 217, 219, 220, 221, 221, 221, 223, 224, 225, 225, 225, 226, 227, 228, 228, 228, 
      229, 230, 230, 231, 232, 232, 234, 235, 235, 235, 235, 237, 237, 238, 238, 239, 240, 241, 242, 
      242, 243, 245, 247, 249, 250, 253, 254, 254, 255, 255, 256, 256, 257, 263, 263, 264, 266, 266, 
      267, 267, 267, 268, 269, 272, 273, 274, 275, 277, 277, 280, 280, 281, 281, 284, 284, 285, 286, 
      286, 287, 287, 287, 289, 289, 290, 290, 291, 291, 292, 293, 294, 297, 299, 300, 301, 301, 303, 
      304, 304, 305, 306, 306, 307, 308, 309, 310, 311, 311, 312, 313, 313, 313, 315, 316, 317, 318, 
      318, 318, 318, 319, 320, 321, 323, 323, 325, 325, 326, 326, 327, 327, 328, 330, 330, 330, 330, 
      332, 332, 337, 338, 340, 340, 341, 341, 343, 344, 345, 345, 346, 346, 346, 348, 349, 350, 350, 
      351, 352, 352, 354, 356, 358, 358, 359, 359, 360, 360, 361, 363, 364, 365, 365, 366, 368, 369, 
      370, 370, 372, 374, 375, 376, 376, 377, 378, 379, 379, 380, 381, 381, 381, 383, 383, 385, 386, 
      387, 388, 391, 392, 393, 395, 395, 397, 398, 398, 399, 400, 401, 402, 405, 406, 406, 407, 407, 
      408, 409, 409, 411, 411, 412, 412, 413, 414, 416, 416, 418, 418, 420, 422, 422, 424, 424, 425, 
      426, 429, 431, 431, 433, 433, 434, 435, 436, 437, 441, 442, 442, 443, 444, 444, 444, 445, 445, 
      447, 447, 448, 449, 449, 450, 450, 452, 452, 453, 454, 455, 456, 457, 458, 459, 461, 461, 461, 
      463, 463, 464, 465, 465, 467, 468, 469, 470, 471, 472, 473, 474, 476, 477, 479, 479, 480, 481, 
      481, 481, 481, 482, 482, 483, 483, 484, 485, 488, 488, 489, 489, 489, 489, 494, 494, 495, 495, 
      498, 500, 500, 502, 503, 503, 503, 505, 506, 508, 508, 509, 509, 511, 513, 514, 515, 516, 517, 
      519, 519, 519, 520, 520, 521, 521, 525, 526, 529, 529, 530, 532, 532, 534, 537, 542, 543, 543, 
      544, 544, 544, 544, 545, 546, 547, 547, 548, 550, 551, 552, 555, 555, 557, 558, 558, 559, 560, 
      561, 562, 563, 564, 564, 566, 567, 567, 568, 572, 572, 573, 573, 574, 574, 575, 576, 578, 578, 
      578, 579, 581, 583, 583, 584, 585, 586, 586, 587, 588, 588, 591, 591, 592, 593, 593, 595, 595, 
      597, 598, 602, 602, 603, 603, 604, 605, 607, 608, 609, 610, 610, 610, 611, 611, 616, 616, 617, 
      618, 619, 621, 622, 625, 625, 626, 626, 628, 628, 629, 629, 630, 630, 631, 632, 632, 633, 634, 
      636, 636, 639, 640, 640, 643, 644, 645, 645, 646, 647, 647, 648, 649, 650, 650, 653, 653, 654, 
      654, 655, 655, 656, 657, 660, 661, 662, 662, 663, 665, 665, 670, 673, 675, 676, 680, 681, 681, 
      685, 686, 688, 689, 693, 693, 693, 696, 697, 698, 701, 702, 703, 703, 705, 705, 706, 706, 707, 
      707, 708, 708, 709, 709, 711, 712, 712, 713, 713, 717, 721, 721, 722, 723, 726, 726, 726, 726, 
      727, 730, 730, 730, 731, 731, 732, 733, 736, 736, 737, 737, 740, 742, 742, 743, 744, 745, 746, 
      746, 748, 748, 749, 751, 751, 753, 754, 755, 756, 759, 760, 761, 761, 762, 762, 763, 763, 763, 
      763, 764, 766, 767, 768, 768, 770, 771, 772, 773, 773, 775, 776, 776, 778, 779, 780, 781, 783, 
      783, 785, 786, 787, 788, 790, 791, 791, 792, 793, 794, 794, 795, 795, 795, 796, 797, 799, 800, 
      800, 801, 805, 806, 806, 807, 807, 810, 810, 811, 811, 812, 812, 813, 813, 815, 816, 816, 818, 
      819, 819, 820, 820, 822, 822, 824, 824, 825, 826, 826, 826, 827, 827, 829, 831, 832, 833, 833, 
      835, 836, 836, 837, 838, 840, 842, 843, 844, 844, 845, 847, 847, 847, 848, 848, 850, 850, 850, 
      850, 851, 851, 852, 853, 853, 854, 857, 859, 861, 861, 862, 863, 864, 864, 866, 866, 867, 868, 
      868, 871, 871, 871, 873, 873, 874, 875, 875, 876, 876, 876, 878, 879, 880, 881, 882, 883, 885, 
      886, 886, 887, 887, 887, 887, 887, 887, 887, 888, 888, 889, 889, 891, 893, 893, 893, 896, 898, 
      900, 900, 900, 902, 902, 903, 903, 905, 905, 905, 906, 909, 911, 912, 914, 915, 915, 916, 918, 
      919, 919, 919, 920, 922, 922, 922, 923, 925, 926, 926, 926, 928, 928, 930, 930, 931, 931, 932, 
      933, 933, 934, 934, 934, 937, 938, 943, 943, 943, 945, 946, 946, 947, 947, 947, 949, 950, 950, 
      951, 954, 955, 955, 955, 957, 957, 959, 963, 965, 965, 967, 968, 968, 969, 973, 973, 977, 977, 
      977, 979, 979, 979, 982, 983, 983, 983, 983, 986, 986, 987, 990, 991, 992, 992, 993, 995, 998, 
      998, 1002, 1003, 1003, 1005, 1005, 1006, 1007, 1008, 1009, 1009, 1010, 1012, 1013, 1013, 1014, 
      1016, 1016, 1018, 1018, 1020, 1020, 1020, 1021, 1022, 1022, 1023, 1026, 1028, 1028, 1028, 1029, 
      1031, 1032, 1033, 1035, 1036, 1037, 1040, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1050, 
      1050, 1051, 1053, 1056, 1056, 1057, 1057, 1058, 1059, 1059, 1060, 1061, 1061, 1063, 1064, 1064, 
      1065, 1067, 1067, 1070, 1071, 1071, 1074, 1074, 1075, 1077, 1077, 1078, 1079, 1081, 1081, 1081, 
      1082, 1083, 1084, 1084, 1084, 1086, 1086, 1087, 1087, 1088, 1088, 1088, 1089, 1090, 1091, 1092, 
      1093, 1094, 1100, 1101, 1101, 1102, 1103, 1103, 1104, 1105, 1105, 1105, 1106, 1106, 1107, 1109, 
      1109, 1110, 1112, 1112, 1112, 1113, 1115, 1118, 1119, 1121, 1122, 1123, 1125, 1127, 1127, 1128, 
      1129, 1129, 1130, 1130, 1131, 1132, 1134, 1134, 1135, 1136, 1136, 1137, 1138, 1140, 1142, 1142, 
      1144, 1145, 1145, 1145, 1145, 1146, 1149, 1149, 1150, 1151, 1151, 1152, 1154, 1155, 1156, 1159, 
      1160, 1160, 1161, 1161, 1162, 1162, 1163, 1163, 1164, 1165, 1168, 1171, 1171, 1173, 1173, 1174, 
      1178, 1178, 1180, 1180, 1182, 1183, 1186, 1187, 1188, 1188, 1190, 1191, 1191, 1192, 1192, 1195, 
      1198, 1198, 1200, 1200, 1201, 1201, 1203, 1204, 1204, 1204, 1205, 1206, 1206, 1207, 1207, 1209, 
      1211, 1211, 1212, 1212, 1213, 1214, 1216, 1216, 1217, 1217, 1219, 1219, 1220, 1220, 1222, 1223, 
      1223, 1224, 1224, 1226, 1226, 1229, 1229, 1230, 1231, 1231, 1232, 1234, 1235, 1239, 1241, 1241, 
      1242, 1243, 1243, 1244, 1245, 1246, 1247, 1248, 1248, 1249, 1250, 1251, 1252, 1252, 1257, 1257, 
      1259, 1262, 1263, 1263, 1264, 1264, 1265, 1266, 1266, 1267, 1267, 1268, 1268, 1269, 1271, 1271, 
      1272, 1272, 1276, 1277, 1278, 1278, 1279, 1280, 1280, 1282, 1282, 1283, 1284, 1284, 1285, 1286, 
      1286, 1286, 1286, 1287, 1288, 1289, 1291, 1291, 1291, 1292, 1293, 1298, 1298, 1299, 1300, 1301, 
      1302, 1305, 1306, 1306, 1308, 1315, 1315, 1316, 1316, 1317, 1317, 1317, 1317, 1318, 1318, 1319, 
      1319, 1320, 1320, 1322, 1323, 1323, 1324, 1324, 1327, 1329, 1329, 1331, 1332, 1333, 1335, 1337, 
      1338, 1339, 1339, 1340, 1340, 1344, 1344, 1345, 1345, 1346, 1346, 1347, 1348, 1349, 1349, 1350, 
      1351, 1351, 1352, 1353, 1354, 1356, 1356, 1357, 1358, 1359, 1360, 1362, 1366, 1367, 1367, 1367, 
      1367, 1368, 1369, 1371, 1372, 1373, 1374, 1374, 1375, 1375, 1376, 1376, 1378, 1381, 1381, 1382, 
      1387, 1387, 1389, 1390, 1392, 1392, 1393, 1393, 1393, 1393, 1394, 1394, 1394, 1396, 1399, 1400, 
      1401, 1401, 1401, 1402, 1403, 1403, 1404, 1405, 1405, 1405, 1405, 1406, 1406, 1407, 1407, 1408, 
      1409, 1411, 1412, 1412, 1417, 1418, 1418, 1419, 1420, 1423, 1425, 1426, 1426, 1427, 1428, 1429, 
      1430, 1432, 1433, 1436, 1436, 1437, 1437, 1437, 1438, 1440, 1440, 1441, 1442, 1442, 1443, 1447, 
      1448, 1450, 1453, 1454, 1455, 1456, 1458, 1458, 1459, 1463, 1463, 1465, 1468, 1469, 1469, 1470, 
      1473, 1474, 1477, 1477, 1479, 1479, 1479, 1480, 1481, 1481, 1483, 1484, 1484, 1486, 1486, 1486, 
      1486, 1487, 1487, 1488, 1488, 1489, 1490, 1491, 1491, 1494, 1494, 1498, 1499, 1499, 1500, 1504, 
      1505, 1505, 1506, 1508, 1508, 1508, 1508, 1510, 1512, 1513, 1515, 1516, 1517, 1518, 1520, 1520, 
      1522, 1522, 1523, 1524, 1524, 1525, 1527, 1527, 1528, 1528, 1529, 1531, 1532, 1533, 1534, 1535, 
      1536, 1537, 1540, 1541, 1542, 1542, 1543, 1544, 1545, 1549, 1549, 1549, 1549, 1549, 1549, 1549 ] ]