[ [ 8, 10, 12, 14, 26, 27, 28, 29, 30, 38, 40, 44, 45, 47, 49, 56, 58, 64, 73, 83, 84, 86, 92, 98, 110, 
      117, 120, 137, 141, 143, 153, 157, 164, 165, 169, 174, 181, 186, 190, 192, 199, 203, 211, 213, 
      215, 229, 231, 232, 235, 249, 259, 263, 277, 278, 279, 287, 290, 291, 293, 296, 302, 310, 313, 
      314, 321, 326, 327, 333, 336, 350, 352, 354, 359, 369, 372, 373, 376, 380, 382, 387, 400, 414, 
      416, 421, 425, 429, 434, 441, 446, 455, 457, 458, 460, 464, 473, 476, 490, 499, 500, 503, 513, 
      520, 522, 530, 531, 532, 533, 544, 550, 556, 559, 561, 562, 566, 572, 578, 602, 603, 615, 619, 
      622, 626, 628, 631, 635, 643, 649, 651, 654, 664, 665, 670, 673, 685, 690, 694, 695, 697, 700, 
      705, 707, 718, 723, 726, 728, 730, 731, 732, 734, 735, 739, 742, 748, 755, 757, 759, 767, 775, 
      780, 781, 785, 786, 787, 802, 804, 805, 807, 808, 809, 813, 826, 829, 830, 839, 842, 850, 853, 
      855, 856, 865, 869, 875, 878, 883, 885, 890, 894, 900, 910, 912, 918, 922, 923, 926, 929, 934, 
      940, 943, 946, 950, 951, 957, 961, 964, 970, 971, 974, 993, 994, 1007, 1014, 1019, 1022, 1027, 
      1029, 1036, 1050, 1053, 1064, 1065, 1076, 1079, 1083, 1088, 1091, 1093, 1099, 1102, 1106, 1113, 
      1114, 1117, 1119, 1123, 1127, 1132, 1134, 1138, 1140, 1145, 1147, 1153, 1156, 1163, 1166, 1170, 
      1172, 1174, 1180, 1187, 1188, 1205, 1210, 1214, 1221, 1224, 1242, 1251, 1252, 1257, 1262, 1268, 
      1275, 1281, 1284, 1288, 1294, 1299, 1305, 1308, 1317, 1318, 1319, 1352, 1359, 1362, 1370, 1385, 
      1386, 1389, 1398, 1406, 1412, 1419, 1420, 1427, 1435, 1440, 1451, 1464, 1468, 1474, 1476, 1479, 
      1480, 1487, 1491, 1493, 1495, 1498, 1503, 1512, 1523, 1526, 1528, 1529, 1532, 1545, 1549, 1550 ], 
  [ 2, 2, 2, 2, 4, 4, 5, 6, 7, 9, 11, 13, 15, 16, 17, 17, 18, 18, 19, 19, 19, 19, 20, 20, 22, 22, 23, 
      23, 23, 23, 25, 26, 26, 28, 29, 29, 41, 41, 42, 44, 45, 45, 46, 46, 48, 49, 49, 50, 51, 51, 52, 
      54, 54, 55, 56, 56, 59, 59, 60, 61, 61, 63, 64, 65, 65, 66, 67, 68, 68, 69, 69, 70, 72, 72, 72, 
      76, 78, 79, 81, 81, 82, 83, 85, 87, 87, 88, 91, 91, 93, 94, 95, 95, 95, 96, 99, 99, 100, 101, 
      101, 101, 104, 105, 106, 106, 107, 107, 110, 112, 114, 115, 116, 116, 118, 118, 122, 124, 125, 
      129, 130, 133, 133, 134, 135, 136, 136, 138, 139, 141, 142, 143, 143, 144, 148, 148, 150, 151, 
      151, 152, 153, 153, 155, 156, 156, 156, 158, 159, 160, 160, 160, 161, 162, 162, 165, 165, 167, 
      170, 170, 172, 172, 173, 174, 175, 177, 177, 180, 183, 184, 184, 185, 186, 186, 188, 188, 188, 
      189, 190, 194, 196, 197, 197, 198, 199, 199, 200, 201, 202, 202, 203, 203, 205, 205, 206, 206, 
      207, 208, 208, 209, 210, 210, 211, 212, 213, 213, 215, 215, 216, 218, 220, 221, 223, 224, 224, 
      226, 226, 228, 228, 231, 232, 234, 236, 236, 237, 237, 238, 239, 240, 241, 241, 242, 243, 244, 
      246, 247, 248, 248, 249, 250, 250, 250, 251, 252, 252, 252, 252, 255, 256, 256, 257, 259, 263, 
      264, 264, 265, 266, 266, 267, 270, 270, 271, 271, 273, 273, 274, 275, 276, 276, 277, 277, 278, 
      278, 279, 280, 282, 282, 285, 285, 285, 286, 286, 287, 288, 289, 290, 290, 293, 294, 294, 294, 
      297, 297, 300, 301, 302, 302, 302, 302, 303, 303, 303, 303, 306, 307, 307, 308, 309, 309, 310, 
      311, 316, 317, 317, 319, 322, 325, 326, 327, 327, 327, 328, 329, 329, 330, 330, 332, 332, 333, 
      333, 334, 335, 335, 335, 336, 338, 339, 340, 343, 343, 344, 347, 347, 349, 349, 352, 353, 353, 
      355, 356, 360, 361, 362, 363, 363, 363, 365, 365, 367, 368, 374, 375, 377, 377, 377, 377, 378, 
      380, 380, 381, 381, 381, 382, 382, 383, 385, 385, 390, 393, 393, 393, 393, 394, 394, 395, 399, 
      399, 400, 401, 401, 403, 404, 406, 406, 406, 407, 408, 409, 411, 411, 412, 413, 413, 414, 414, 
      416, 416, 416, 416, 418, 421, 421, 423, 428, 428, 429, 430, 434, 434, 437, 438, 439, 441, 443, 
      445, 445, 446, 447, 447, 448, 449, 450, 451, 453, 453, 453, 453, 455, 455, 457, 457, 458, 459, 
      459, 461, 462, 464, 467, 467, 469, 469, 470, 471, 471, 471, 472, 472, 473, 473, 474, 476, 478, 
      478, 478, 478, 480, 481, 481, 482, 484, 485, 485, 487, 488, 488, 489, 489, 490, 491, 492, 492, 
      494, 495, 495, 496, 498, 499, 501, 501, 503, 503, 506, 510, 510, 510, 510, 510, 510, 510, 511, 
      512, 512, 514, 514, 514, 515, 515, 515, 516, 516, 518, 519, 520, 520, 521, 525, 525, 527, 527, 
      529, 531, 532, 532, 533, 533, 534, 535, 537, 537, 540, 541, 541, 542, 542, 544, 545, 546, 546, 
      547, 547, 548, 549, 549, 550, 550, 551, 551, 553, 554, 556, 557, 558, 558, 559, 559, 560, 561, 
      561, 562, 563, 564, 565, 565, 566, 566, 567, 567, 568, 569, 569, 570, 571, 571, 573, 576, 577, 
      577, 578, 579, 579, 579, 579, 580, 581, 582, 583, 584, 585, 586, 587, 587, 589, 590, 591, 592, 
      593, 595, 595, 596, 597, 598, 600, 601, 601, 604, 604, 605, 605, 606, 609, 616, 617, 621, 623, 
      624, 624, 625, 625, 626, 627, 631, 631, 632, 633, 633, 633, 634, 635, 635, 636, 636, 638, 639, 
      639, 641, 642, 644, 645, 645, 645, 647, 648, 649, 653, 654, 655, 656, 657, 658, 659, 659, 660, 
      661, 663, 663, 664, 664, 668, 669, 670, 671, 671, 672, 674, 675, 676, 677, 678, 680, 680, 680, 
      681, 681, 682, 683, 685, 687, 688, 688, 688, 689, 689, 692, 693, 693, 694, 697, 697, 698, 699, 
      700, 701, 701, 703, 703, 703, 703, 704, 705, 707, 708, 709, 710, 710, 711, 712, 713, 715, 717, 
      717, 717, 717, 718, 719, 719, 719, 720, 720, 722, 723, 723, 724, 724, 725, 725, 727, 727, 728, 
      728, 729, 733, 733, 734, 735, 735, 736, 739, 739, 739, 740, 740, 740, 740, 741, 741, 741, 742, 
      742, 743, 744, 744, 744, 744, 745, 746, 748, 749, 750, 751, 751, 752, 753, 753, 754, 757, 757, 
      758, 760, 760, 761, 761, 762, 763, 763, 764, 765, 765, 766, 767, 768, 768, 769, 769, 771, 773, 
      774, 774, 776, 778, 778, 779, 780, 780, 781, 782, 782, 784, 786, 788, 789, 789, 790, 793, 794, 
      794, 795, 797, 798, 800, 800, 801, 802, 802, 803, 803, 806, 808, 809, 810, 811, 811, 813, 813, 
      814, 815, 815, 816, 817, 818, 819, 819, 820, 822, 822, 822, 822, 823, 824, 824, 824, 825, 826, 
      827, 827, 828, 828, 828, 829, 830, 830, 831, 832, 832, 832, 832, 833, 833, 834, 834, 836, 836, 
      838, 838, 839, 840, 842, 842, 844, 845, 845, 846, 847, 847, 851, 851, 853, 854, 855, 855, 856, 
      857, 859, 859, 859, 861, 863, 863, 865, 865, 867, 867, 870, 870, 871, 873, 875, 876, 878, 879, 
      882, 882, 885, 885, 886, 887, 889, 890, 890, 892, 892, 893, 893, 894, 894, 895, 896, 897, 898, 
      900, 901, 902, 902, 903, 903, 905, 907, 908, 908, 909, 909, 910, 910, 911, 912, 912, 914, 916, 
      919, 920, 921, 922, 922, 925, 927, 928, 931, 931, 931, 932, 934, 935, 935, 938, 939, 940, 943, 
      943, 943, 943, 943, 943, 943, 945, 946, 947, 948, 949, 950, 950, 951, 951, 952, 953, 954, 955, 
      957, 958, 961, 962, 962, 962, 962, 963, 963, 964, 965, 967, 967, 967, 968, 968, 970, 970, 971, 
      971, 972, 973, 973, 974, 975, 977, 978, 978, 980, 981, 981, 982, 983, 983, 984, 984, 985, 985, 
      987, 989, 989, 989, 991, 991, 992, 992, 993, 993, 995, 995, 996, 996, 997, 997, 998, 999, 1001, 
      1001, 1004, 1006, 1006, 1010, 1011, 1012, 1012, 1013, 1014, 1014, 1015, 1016, 1016, 1018, 1021, 
      1022, 1023, 1023, 1024, 1026, 1027, 1029, 1029, 1030, 1030, 1032, 1032, 1032, 1034, 1037, 1038, 
      1038, 1041, 1041, 1042, 1042, 1043, 1046, 1047, 1048, 1048, 1049, 1050, 1051, 1053, 1053, 1054, 
      1054, 1055, 1056, 1057, 1058, 1058, 1059, 1059, 1059, 1060, 1061, 1062, 1064, 1065, 1068, 1070, 
      1070, 1070, 1072, 1072, 1073, 1073, 1074, 1075, 1075, 1076, 1076, 1079, 1079, 1079, 1081, 1085, 
      1085, 1086, 1086, 1088, 1089, 1089, 1090, 1091, 1092, 1095, 1098, 1099, 1100, 1100, 1101, 1101, 
      1101, 1102, 1105, 1105, 1107, 1111, 1112, 1112, 1114, 1115, 1116, 1118, 1120, 1120, 1121, 1121, 
      1124, 1124, 1126, 1126, 1129, 1131, 1132, 1136, 1138, 1138, 1139, 1140, 1140, 1141, 1144, 1146, 
      1147, 1148, 1148, 1149, 1150, 1152, 1152, 1153, 1154, 1155, 1156, 1156, 1156, 1157, 1157, 1158, 
      1159, 1160, 1161, 1161, 1162, 1163, 1163, 1164, 1164, 1165, 1167, 1167, 1168, 1169, 1169, 1170, 
      1170, 1172, 1173, 1175, 1175, 1178, 1178, 1179, 1179, 1179, 1181, 1182, 1184, 1185, 1185, 1186, 
      1187, 1187, 1188, 1189, 1192, 1192, 1194, 1195, 1195, 1196, 1197, 1197, 1198, 1199, 1199, 1199, 
      1201, 1201, 1201, 1202, 1206, 1207, 1208, 1208, 1210, 1210, 1211, 1211, 1213, 1213, 1214, 1214, 
      1216, 1216, 1217, 1219, 1220, 1221, 1221, 1221, 1222, 1222, 1224, 1224, 1224, 1225, 1226, 1226, 
      1227, 1227, 1230, 1232, 1232, 1234, 1235, 1236, 1236, 1241, 1241, 1242, 1243, 1243, 1244, 1245, 
      1245, 1246, 1247, 1247, 1249, 1250, 1261, 1262, 1262, 1263, 1264, 1265, 1268, 1269, 1269, 1271, 
      1272, 1272, 1273, 1274, 1275, 1278, 1286, 1287, 1289, 1289, 1290, 1290, 1290, 1292, 1292, 1292, 
      1294, 1294, 1295, 1296, 1298, 1298, 1300, 1301, 1301, 1302, 1303, 1303, 1304, 1304, 1305, 1305, 
      1305, 1305, 1306, 1311, 1312, 1314, 1314, 1314, 1315, 1315, 1315, 1316, 1317, 1317, 1317, 1317, 
      1318, 1319, 1319, 1320, 1321, 1322, 1322, 1323, 1324, 1324, 1325, 1327, 1328, 1330, 1331, 1331, 
      1332, 1332, 1332, 1335, 1336, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1342, 1343, 1344, 1345, 
      1345, 1346, 1348, 1348, 1350, 1352, 1353, 1357, 1358, 1358, 1359, 1362, 1364, 1364, 1365, 1365, 
      1366, 1366, 1367, 1367, 1370, 1370, 1370, 1371, 1371, 1374, 1375, 1376, 1376, 1378, 1379, 1381, 
      1382, 1382, 1383, 1386, 1387, 1389, 1391, 1391, 1392, 1395, 1395, 1396, 1398, 1398, 1399, 1401, 
      1401, 1402, 1405, 1406, 1410, 1410, 1412, 1414, 1415, 1416, 1416, 1420, 1420, 1421, 1421, 1422, 
      1423, 1425, 1425, 1430, 1431, 1432, 1432, 1433, 1434, 1436, 1436, 1439, 1439, 1441, 1443, 1444, 
      1444, 1448, 1448, 1449, 1449, 1450, 1452, 1452, 1453, 1454, 1455, 1456, 1456, 1460, 1460, 1461, 
      1462, 1462, 1463, 1463, 1465, 1466, 1468, 1469, 1470, 1472, 1472, 1473, 1474, 1476, 1477, 1478, 
      1479, 1479, 1482, 1483, 1485, 1486, 1487, 1487, 1488, 1488, 1490, 1493, 1494, 1494, 1495, 1496, 
      1497, 1498, 1500, 1500, 1501, 1501, 1503, 1505, 1505, 1506, 1506, 1508, 1508, 1508, 1508, 1510, 
      1512, 1512, 1514, 1520, 1520, 1521, 1522, 1522, 1523, 1524, 1524, 1524, 1525, 1526, 1527, 1527, 
      1527, 1527, 1529, 1529, 1531, 1532, 1534, 1534, 1535, 1535, 1536, 1536, 1537, 1537, 1538, 1540, 
      1540, 1540, 1540, 1543, 1548, 1548, 1549, 1550, 1550 ] ]