[ [ 4, 5, 7, 8, 9, 23, 29, 30, 35, 38, 40, 47, 50, 53, 55, 61, 64, 74, 78, 90, 98, 103, 105, 106, 121, 
      127, 134, 135, 137, 156, 161, 162, 164, 174, 178, 180, 185, 194, 198, 211, 216, 228, 244, 246, 
      247, 248, 249, 250, 253, 256, 270, 274, 277, 284, 288, 295, 296, 299, 302, 307, 311, 314, 320, 
      323, 326, 331, 341, 343, 345, 354, 356, 361, 368, 369, 371, 373, 374, 380, 386, 394, 404, 416, 
      421, 430, 435, 440, 446, 449, 451, 453, 460, 468, 471, 472, 479, 482, 488, 489, 504, 511, 518, 
      525, 526, 527, 535, 539, 545, 549, 551, 552, 555, 570, 572, 573, 575, 581, 590, 591, 594, 596, 
      603, 604, 630, 633, 638, 643, 645, 652, 657, 667, 674, 676, 681, 686, 702, 705, 706, 707, 711, 
      714, 728, 731, 735, 740, 743, 746, 747, 749, 754, 756, 768, 772, 777, 789, 790, 791, 795, 799, 
      804, 810, 818, 820, 824, 827, 828, 832, 837, 843, 845, 847, 869, 870, 873, 881, 882, 883, 884, 
      887, 895, 899, 902, 904, 905, 908, 909, 911, 919, 920, 930, 931, 944, 945, 950, 953, 954, 965, 
      969, 972, 973, 980, 981, 984, 988, 998, 1004, 1017, 1027, 1029, 1032, 1036, 1055, 1057, 1073, 
      1076, 1080, 1084, 1094, 1095, 1102, 1108, 1109, 1110, 1115, 1123, 1126, 1138, 1140, 1143, 1145, 
      1150, 1158, 1163, 1172, 1175, 1176, 1179, 1180, 1185, 1191, 1192, 1193, 1200, 1203, 1207, 1209, 
      1213, 1216, 1226, 1228, 1229, 1243, 1249, 1253, 1259, 1264, 1274, 1283, 1286, 1287, 1293, 1294, 
      1301, 1304, 1308, 1310, 1311, 1316, 1318, 1328, 1329, 1330, 1331, 1333, 1334, 1335, 1336, 1346, 
      1349, 1350, 1356, 1357, 1359, 1361, 1376, 1377, 1391, 1394, 1396, 1406, 1422, 1434, 1437, 1439, 
      1459, 1466, 1467, 1470, 1485, 1487, 1490, 1494, 1498, 1501, 1517, 1519, 1521, 1527, 1528, 1529, 
      1535 ], [ 2, 2, 2, 2, 3, 5, 7, 7, 8, 8, 10, 13, 14, 15, 17, 18, 21, 22, 22, 23, 23, 27, 28, 30, 
      30, 33, 33, 34, 34, 39, 41, 42, 43, 43, 43, 44, 45, 45, 45, 46, 48, 48, 49, 51, 51, 52, 53, 53, 
      56, 57, 57, 59, 59, 60, 62, 64, 64, 65, 65, 66, 66, 71, 71, 72, 73, 73, 74, 75, 76, 76, 77, 77, 
      78, 80, 81, 81, 82, 83, 85, 86, 87, 87, 88, 89, 89, 91, 92, 92, 93, 95, 95, 96, 96, 97, 97, 98, 
      99, 100, 100, 104, 105, 105, 106, 106, 108, 108, 110, 115, 115, 116, 118, 119, 120, 120, 125, 
      125, 126, 126, 127, 128, 129, 130, 134, 136, 136, 139, 140, 146, 146, 148, 149, 150, 151, 155, 
      156, 156, 159, 160, 161, 162, 162, 163, 163, 164, 164, 165, 165, 165, 166, 168, 170, 171, 171, 
      172, 174, 174, 176, 176, 177, 179, 179, 180, 180, 182, 182, 183, 184, 185, 188, 189, 192, 194, 
      194, 194, 194, 197, 199, 200, 200, 202, 202, 204, 204, 208, 209, 210, 211, 212, 214, 214, 215, 
      217, 218, 223, 223, 224, 226, 226, 226, 226, 227, 228, 228, 231, 234, 234, 235, 237, 238, 239, 
      240, 241, 242, 243, 244, 245, 245, 246, 251, 252, 252, 253, 254, 254, 255, 255, 256, 260, 262, 
      262, 263, 263, 263, 264, 265, 265, 266, 267, 268, 269, 273, 273, 273, 274, 275, 275, 278, 278, 
      279, 279, 280, 281, 294, 295, 297, 299, 299, 301, 301, 302, 305, 305, 306, 308, 309, 310, 311, 
      311, 312, 313, 314, 315, 317, 318, 318, 320, 321, 321, 321, 321, 323, 326, 326, 329, 332, 333, 
      334, 335, 336, 337, 337, 338, 339, 340, 344, 347, 347, 348, 348, 348, 348, 352, 352, 353, 354, 
      355, 356, 358, 358, 360, 361, 361, 365, 366, 367, 368, 368, 368, 370, 371, 371, 371, 372, 374, 
      374, 375, 375, 376, 376, 376, 376, 377, 378, 379, 379, 380, 381, 381, 382, 382, 382, 383, 386, 
      386, 387, 388, 388, 389, 389, 392, 392, 393, 395, 395, 397, 399, 399, 401, 404, 404, 404, 405, 
      406, 408, 408, 409, 409, 409, 409, 409, 409, 409, 410, 410, 411, 411, 412, 415, 415, 416, 418, 
      418, 420, 420, 421, 421, 422, 422, 423, 424, 427, 429, 430, 431, 431, 433, 433, 435, 435, 436, 
      438, 441, 442, 442, 444, 444, 446, 449, 450, 450, 451, 452, 452, 453, 453, 455, 455, 456, 456, 
      456, 456, 457, 458, 459, 459, 461, 462, 463, 463, 465, 465, 466, 466, 467, 468, 468, 470, 470, 
      471, 472, 472, 473, 473, 474, 475, 476, 478, 479, 479, 481, 483, 484, 485, 485, 490, 493, 493, 
      493, 494, 495, 495, 496, 496, 499, 500, 500, 501, 502, 505, 506, 510, 510, 511, 512, 514, 517, 
      517, 517, 517, 521, 523, 524, 524, 528, 529, 531, 531, 532, 532, 533, 533, 535, 536, 536, 536, 
      537, 537, 540, 542, 542, 543, 543, 543, 543, 544, 550, 550, 553, 556, 558, 560, 562, 563, 563, 
      564, 564, 565, 567, 567, 569, 570, 570, 571, 571, 571, 571, 572, 573, 574, 574, 574, 576, 579, 
      580, 580, 582, 582, 583, 583, 584, 585, 585, 586, 587, 588, 588, 589, 589, 590, 591, 594, 595, 
      596, 597, 597, 598, 600, 603, 606, 607, 607, 609, 610, 611, 613, 615, 617, 618, 619, 619, 620, 
      620, 621, 623, 623, 624, 626, 627, 628, 630, 630, 631, 631, 634, 635, 635, 636, 638, 638, 638, 
      639, 639, 640, 643, 645, 646, 646, 647, 647, 648, 649, 649, 650, 650, 652, 652, 653, 653, 655, 
      656, 658, 658, 658, 659, 660, 663, 663, 664, 664, 665, 666, 667, 669, 670, 671, 672, 673, 674, 
      675, 676, 676, 677, 677, 678, 681, 681, 684, 684, 685, 687, 687, 688, 689, 690, 693, 693, 693, 
      694, 694, 695, 696, 696, 697, 698, 698, 699, 701, 701, 702, 703, 704, 704, 705, 705, 706, 706, 
      710, 711, 712, 713, 715, 716, 717, 718, 719, 721, 722, 723, 725, 725, 729, 729, 730, 730, 731, 
      732, 733, 733, 733, 733, 734, 735, 735, 736, 737, 738, 739, 742, 742, 744, 745, 746, 746, 747, 
      748, 750, 750, 752, 753, 753, 754, 754, 755, 756, 760, 760, 762, 762, 763, 764, 766, 766, 767, 
      767, 768, 770, 770, 770, 771, 772, 773, 773, 775, 776, 776, 778, 780, 780, 782, 782, 783, 783, 
      784, 784, 785, 785, 786, 786, 787, 790, 792, 797, 797, 798, 800, 802, 803, 804, 805, 805, 806, 
      807, 809, 810, 813, 813, 814, 814, 814, 815, 815, 816, 817, 817, 817, 817, 819, 820, 820, 822, 
      822, 824, 824, 825, 826, 827, 828, 829, 830, 831, 831, 831, 832, 832, 836, 836, 837, 838, 838, 
      838, 842, 842, 843, 843, 844, 846, 847, 847, 851, 852, 852, 854, 857, 857, 860, 860, 864, 865, 
      866, 867, 869, 869, 870, 870, 871, 871, 872, 874, 876, 877, 879, 879, 881, 881, 881, 881, 883, 
      884, 884, 885, 886, 887, 887, 887, 888, 889, 889, 890, 890, 891, 892, 894, 896, 897, 897, 897, 
      898, 898, 900, 902, 903, 904, 905, 905, 906, 906, 906, 907, 907, 908, 908, 909, 910, 910, 911, 
      913, 914, 917, 918, 918, 919, 920, 920, 922, 922, 922, 922, 926, 927, 928, 929, 930, 930, 931, 
      931, 934, 936, 936, 937, 939, 943, 943, 944, 945, 945, 951, 951, 952, 952, 954, 955, 955, 957, 
      960, 960, 961, 962, 962, 964, 964, 964, 964, 965, 965, 965, 965, 966, 967, 967, 967, 968, 968, 
      969, 970, 971, 972, 972, 973, 973, 975, 976, 977, 977, 978, 979, 980, 981, 983, 984, 984, 986, 
      987, 987, 989, 990, 992, 992, 994, 995, 996, 996, 996, 996, 997, 998, 1000, 1002, 1004, 1005, 
      1006, 1006, 1007, 1008, 1008, 1009, 1009, 1009, 1011, 1013, 1015, 1015, 1016, 1017, 1018, 1021, 
      1025, 1026, 1026, 1027, 1028, 1028, 1029, 1030, 1030, 1032, 1032, 1033, 1034, 1034, 1035, 1035, 
      1036, 1036, 1038, 1039, 1039, 1040, 1041, 1043, 1047, 1049, 1049, 1049, 1050, 1052, 1053, 1053, 
      1054, 1057, 1058, 1059, 1059, 1061, 1061, 1063, 1063, 1065, 1065, 1065, 1067, 1068, 1069, 1070, 
      1071, 1071, 1075, 1075, 1076, 1076, 1077, 1079, 1079, 1079, 1080, 1081, 1081, 1081, 1082, 1084, 
      1084, 1085, 1087, 1089, 1090, 1091, 1091, 1093, 1093, 1094, 1094, 1095, 1096, 1097, 1097, 1097, 
      1097, 1098, 1099, 1099, 1100, 1100, 1100, 1105, 1105, 1106, 1107, 1110, 1111, 1111, 1115, 1117, 
      1117, 1119, 1120, 1120, 1121, 1121, 1122, 1123, 1123, 1123, 1123, 1123, 1123, 1123, 1124, 1125, 
      1126, 1126, 1127, 1129, 1129, 1130, 1132, 1133, 1133, 1133, 1134, 1137, 1139, 1141, 1142, 1144, 
      1145, 1145, 1147, 1148, 1149, 1150, 1151, 1152, 1155, 1155, 1156, 1157, 1159, 1159, 1161, 1162, 
      1162, 1163, 1164, 1164, 1167, 1167, 1169, 1169, 1169, 1172, 1172, 1173, 1175, 1176, 1177, 1177, 
      1177, 1178, 1178, 1179, 1179, 1180, 1180, 1181, 1183, 1184, 1185, 1186, 1187, 1187, 1190, 1191, 
      1191, 1192, 1193, 1194, 1195, 1195, 1196, 1198, 1198, 1198, 1199, 1199, 1201, 1201, 1203, 1204, 
      1205, 1205, 1206, 1207, 1207, 1208, 1210, 1212, 1214, 1214, 1214, 1216, 1216, 1219, 1220, 1224, 
      1225, 1226, 1228, 1228, 1229, 1230, 1230, 1231, 1231, 1232, 1233, 1234, 1234, 1235, 1235, 1236, 
      1237, 1237, 1238, 1238, 1242, 1242, 1243, 1243, 1244, 1245, 1245, 1247, 1247, 1247, 1247, 1248, 
      1248, 1248, 1248, 1251, 1251, 1252, 1252, 1253, 1254, 1255, 1256, 1256, 1258, 1258, 1259, 1261, 
      1262, 1262, 1263, 1264, 1265, 1266, 1266, 1267, 1267, 1268, 1268, 1270, 1270, 1271, 1272, 1273, 
      1273, 1273, 1274, 1275, 1275, 1275, 1277, 1278, 1278, 1280, 1280, 1281, 1282, 1283, 1284, 1286, 
      1289, 1289, 1289, 1290, 1290, 1291, 1291, 1292, 1292, 1292, 1293, 1294, 1294, 1295, 1295, 1296, 
      1296, 1297, 1298, 1298, 1298, 1300, 1300, 1300, 1302, 1303, 1304, 1304, 1304, 1306, 1307, 1308, 
      1308, 1309, 1309, 1311, 1311, 1311, 1311, 1312, 1312, 1313, 1313, 1313, 1314, 1316, 1318, 1319, 
      1319, 1323, 1324, 1325, 1326, 1326, 1326, 1326, 1327, 1328, 1329, 1332, 1333, 1333, 1334, 1335, 
      1335, 1335, 1337, 1337, 1338, 1338, 1339, 1342, 1344, 1345, 1347, 1347, 1348, 1348, 1348, 1349, 
      1349, 1352, 1352, 1353, 1354, 1355, 1355, 1357, 1358, 1359, 1359, 1360, 1362, 1362, 1363, 1364, 
      1364, 1366, 1366, 1366, 1369, 1369, 1372, 1373, 1374, 1377, 1377, 1379, 1379, 1381, 1383, 1384, 
      1384, 1385, 1385, 1386, 1386, 1387, 1387, 1388, 1389, 1391, 1392, 1392, 1393, 1395, 1396, 1396, 
      1397, 1398, 1398, 1398, 1399, 1401, 1401, 1402, 1402, 1404, 1404, 1405, 1407, 1407, 1407, 1407, 
      1408, 1408, 1410, 1411, 1412, 1413, 1415, 1415, 1416, 1417, 1419, 1419, 1422, 1423, 1423, 1424, 
      1424, 1425, 1427, 1428, 1429, 1432, 1435, 1438, 1439, 1440, 1441, 1442, 1443, 1443, 1443, 1443, 
      1444, 1445, 1446, 1447, 1448, 1448, 1449, 1451, 1451, 1452, 1452, 1454, 1455, 1455, 1456, 1456, 
      1460, 1461, 1462, 1463, 1464, 1464, 1466, 1466, 1471, 1471, 1477, 1477, 1478, 1478, 1478, 1480, 
      1480, 1482, 1483, 1484, 1485, 1486, 1486, 1488, 1488, 1491, 1492, 1492, 1494, 1494, 1495, 1495, 
      1498, 1498, 1499, 1499, 1500, 1501, 1501, 1502, 1503, 1504, 1505, 1507, 1509, 1509, 1511, 1512, 
      1512, 1514, 1515, 1515, 1519, 1519, 1520, 1522, 1522, 1523, 1524, 1525, 1525, 1528, 1529, 1530, 
      1533, 1534, 1534, 1534, 1535, 1535, 1536, 1537, 1538, 1539, 1540, 1543, 1544, 1545, 1546, 1546, 
      1547, 1548, 1548, 1550, 1550 ] ]