[ [ 4, 10, 14, 17, 19, 24, 26, 31, 40, 43, 46, 48, 54, 59, 63, 66, 68, 71, 72, 78, 81, 82, 98, 99, 108, 
      110, 114, 116, 117, 118, 119, 122, 128, 135, 138, 163, 165, 167, 172, 184, 186, 189, 190, 191, 
      198, 199, 207, 215, 216, 218, 226, 228, 238, 246, 254, 262, 275, 277, 278, 286, 287, 288, 291, 
      294, 298, 301, 310, 315, 318, 322, 327, 329, 332, 334, 336, 340, 345, 349, 357, 362, 366, 367, 
      368, 369, 371, 379, 381, 383, 386, 388, 396, 398, 407, 410, 415, 421, 424, 438, 443, 448, 453, 
      454, 471, 473, 474, 480, 484, 485, 494, 498, 501, 511, 520, 523, 532, 535, 536, 539, 546, 554, 
      555, 560, 569, 570, 572, 575, 576, 577, 582, 583, 586, 587, 589, 597, 601, 602, 603, 613, 615, 
      617, 620, 621, 624, 633, 634, 638, 641, 642, 645, 646, 648, 649, 652, 654, 655, 661, 662, 663, 
      669, 674, 679, 683, 684, 687, 697, 700, 705, 706, 711, 713, 715, 719, 721, 730, 732, 740, 741, 
      743, 745, 750, 751, 752, 770, 771, 773, 778, 786, 788, 789, 790, 792, 793, 794, 804, 807, 813, 
      820, 831, 832, 835, 849, 850, 853, 855, 856, 862, 864, 865, 867, 870, 872, 873, 877, 879, 880, 
      885, 889, 897, 900, 901, 902, 909, 915, 916, 918, 924, 926, 932, 936, 950, 953, 954, 962, 963, 
      968, 974, 978, 983, 986, 989, 995, 1007, 1013, 1016, 1018, 1019, 1022, 1023, 1024, 1026, 1031, 
      1037, 1039, 1041, 1044, 1058, 1062, 1065, 1069, 1072, 1073, 1075, 1084, 1089, 1096, 1098, 1103, 
      1110, 1121, 1123, 1125, 1129, 1135, 1136, 1143, 1144, 1147, 1148, 1152, 1158, 1160, 1161, 1172, 
      1175, 1176, 1183, 1185, 1187, 1189, 1191, 1194, 1195, 1199, 1201, 1211, 1216, 1220, 1221, 1225, 
      1227, 1228, 1231, 1232, 1234, 1235, 1236, 1239, 1242, 1243, 1246, 1249, 1252, 1255, 1259, 1262, 
      1265, 1267, 1268, 1269, 1280, 1283, 1290, 1291, 1292, 1293, 1294, 1296, 1297, 1299, 1301, 1302, 
      1304, 1307, 1308, 1312, 1313, 1317, 1318, 1320, 1321, 1323, 1326, 1327, 1335, 1339, 1344, 1348, 
      1353, 1355, 1358, 1360, 1361, 1374, 1375, 1378, 1379, 1384, 1391, 1394, 1396, 1400, 1407, 1408, 
      1409, 1411, 1416, 1419, 1429, 1430, 1433, 1434, 1436, 1439, 1443, 1444, 1445, 1447, 1449, 1450, 
      1459, 1462, 1466, 1475, 1478, 1479, 1482, 1488, 1491, 1504, 1505, 1514, 1516, 1520, 1524, 1526, 
      1530, 1531, 1539, 1540, 1544, 1545, 1547, 1549, 1559, 1560, 1564, 1572, 1579, 1580, 1588, 1589, 
      1591, 1592, 1594, 1600, 1601, 1604, 1606, 1608, 1613, 1614, 1630, 1635, 1638, 1639, 1649, 1657, 
      1658, 1659, 1660, 1665, 1671, 1674, 1676, 1677, 1678, 1681, 1685, 1689, 1693, 1694, 1697, 1707, 
      1711, 1716, 1718, 1719, 1730, 1744, 1746, 1747, 1752, 1756, 1757, 1758, 1759, 1776, 1779, 1781, 
      1785, 1789, 1796, 1798, 1805, 1806, 1813, 1820, 1827, 1832, 1834, 1839, 1841, 1859, 1860, 1861, 
      1862, 1870, 1875, 1878, 1881, 1886, 1889, 1890, 1893, 1897, 1904, 1906, 1909, 1914, 1918, 1920, 
      1922, 1924, 1927, 1932, 1941, 1953, 1954, 1955, 1956, 1957, 1963, 1964, 1966, 1974, 1975, 1982, 
      1987, 1991, 1993, 1996, 2000, 2003, 2005, 2007, 2016, 2027, 2028, 2033, 2034, 2035, 2036, 2052, 
      2056, 2057, 2067, 2073, 2074, 2083, 2084, 2085, 2086, 2089, 2100, 2101, 2103, 2110, 2111, 2119, 
      2121, 2122, 2130, 2136, 2144, 2151, 2157, 2159, 2162, 2163, 2167, 2172, 2175, 2176, 2178, 2180, 
      2182, 2184, 2193, 2195, 2196, 2198, 2200, 2206, 2208, 2210, 2226, 2229, 2233, 2234, 2235, 2242, 
      2247, 2253, 2255, 2257, 2260, 2263, 2271, 2280, 2284, 2288, 2289, 2296, 2297, 2302, 2303, 2304, 
      2319, 2320, 2323, 2334, 2337, 2343, 2345, 2348, 2357, 2358, 2361, 2363, 2367, 2368, 2370, 2371, 
      2372, 2373, 2376, 2377, 2387, 2389, 2393, 2394, 2399, 2402, 2404, 2406, 2407, 2408, 2411, 2412, 
      2413, 2419, 2423, 2425, 2426, 2431, 2432, 2451, 2460, 2461, 2463, 2465, 2467, 2474, 2476, 2481, 
      2482, 2483, 2503, 2505, 2509, 2512, 2513, 2515, 2517, 2523, 2525, 2527, 2538, 2549, 2553, 2556, 
      2558, 2561, 2562, 2564, 2566, 2577, 2582, 2585, 2594, 2602, 2608, 2610, 2618, 2620, 2621, 2623, 
      2625, 2633, 2643, 2644, 2647, 2649, 2654, 2657, 2666, 2668, 2670, 2674, 2681, 2686, 2687, 2692, 
      2700, 2702, 2703, 2708, 2709, 2710, 2712, 2713, 2714, 2719, 2723, 2727, 2733, 2736, 2741, 2743, 
      2745, 2749, 2760, 2765, 2768, 2770, 2792, 2793, 2802, 2803, 2806, 2812, 2815, 2817, 2826, 2828, 
      2835, 2837, 2847, 2850, 2853, 2857, 2862, 2864, 2866, 2867, 2884, 2885, 2887, 2888, 2894, 2895, 
      2902, 2913, 2917, 2922, 2927, 2930, 2933, 2934, 2935, 2945, 2958, 2959, 2961, 2965, 2969, 2973, 
      2981, 2985, 2989, 2992, 2996, 3001, 3006, 3007, 3008, 3024, 3033, 3040, 3049, 3056, 3066, 3067, 
      3068, 3071, 3087, 3088, 3090, 3098, 3102, 3103, 3108, 3111, 3112, 3113, 3116, 3117, 3118, 3125, 
      3126, 3127, 3128, 3131, 3133, 3136, 3139, 3140, 3143, 3156, 3158, 3161, 3162, 3163, 3175, 3182, 
      3188, 3189, 3191, 3196, 3203, 3210, 3212, 3213, 3215, 3216, 3219, 3223, 3225, 3228, 3230, 3239, 
      3245, 3247, 3251, 3256, 3262 ], [ 2, 2, 4, 5, 6, 7, 8, 8, 10, 12, 13, 14, 15, 16, 17, 17, 18, 18, 
      18, 20, 21, 22, 24, 27, 28, 29, 30, 31, 35, 35, 36, 37, 37, 37, 39, 39, 41, 41, 42, 43, 45, 45, 
      46, 46, 47, 47, 48, 53, 53, 54, 55, 56, 57, 57, 60, 60, 61, 61, 61, 62, 62, 64, 64, 64, 68, 69, 
      69, 70, 70, 72, 75, 76, 76, 77, 78, 78, 78, 79, 79, 80, 80, 80, 81, 82, 83, 86, 88, 90, 91, 92, 
      92, 94, 94, 95, 98, 101, 101, 103, 104, 105, 105, 108, 109, 110, 111, 112, 114, 117, 119, 119, 
      119, 120, 121, 122, 124, 124, 125, 128, 128, 129, 132, 133, 133, 134, 136, 137, 137, 138, 139, 
      140, 142, 142, 143, 143, 144, 144, 144, 146, 147, 147, 148, 148, 149, 149, 150, 151, 151, 151, 
      152, 153, 154, 154, 157, 159, 159, 159, 160, 161, 163, 163, 163, 165, 167, 168, 168, 169, 170, 
      170, 171, 172, 172, 173, 174, 174, 175, 175, 175, 177, 177, 180, 180, 180, 181, 183, 183, 184, 
      186, 188, 189, 190, 190, 192, 193, 194, 194, 195, 197, 197, 198, 200, 202, 204, 205, 205, 205, 
      206, 207, 208, 208, 209, 210, 210, 210, 211, 212, 212, 213, 213, 216, 217, 217, 217, 219, 220, 
      223, 223, 227, 228, 232, 233, 233, 233, 235, 235, 236, 237, 238, 238, 238, 239, 239, 243, 244, 
      244, 248, 249, 249, 250, 251, 254, 258, 258, 259, 261, 262, 263, 263, 267, 268, 268, 270, 271, 
      272, 272, 272, 273, 275, 276, 277, 278, 279, 280, 281, 281, 283, 284, 285, 285, 286, 286, 289, 
      289, 289, 290, 290, 291, 292, 293, 294, 295, 295, 296, 298, 300, 300, 301, 302, 302, 303, 303, 
      304, 304, 305, 307, 309, 310, 311, 312, 313, 314, 314, 314, 315, 316, 317, 318, 319, 322, 326, 
      328, 330, 331, 332, 333, 334, 336, 339, 339, 341, 341, 343, 343, 343, 345, 345, 345, 346, 347, 
      349, 351, 354, 354, 355, 356, 360, 360, 361, 362, 365, 365, 366, 366, 367, 367, 368, 372, 372, 
      373, 373, 374, 374, 376, 377, 377, 377, 379, 380, 380, 381, 382, 383, 386, 387, 388, 388, 389, 
      390, 390, 391, 392, 392, 393, 394, 395, 396, 396, 398, 401, 403, 403, 403, 404, 404, 404, 405, 
      406, 406, 407, 409, 409, 411, 411, 411, 413, 413, 415, 416, 416, 417, 417, 419, 419, 420, 421, 
      422, 422, 423, 424, 426, 427, 427, 428, 428, 428, 429, 430, 431, 432, 434, 435, 437, 437, 438, 
      439, 441, 442, 443, 444, 445, 446, 448, 449, 449, 450, 451, 453, 454, 455, 455, 455, 456, 457, 
      458, 458, 459, 461, 462, 463, 463, 463, 464, 464, 465, 466, 466, 468, 470, 470, 471, 472, 472, 
      473, 474, 475, 476, 477, 480, 482, 483, 484, 485, 487, 488, 489, 489, 489, 490, 491, 492, 493, 
      493, 494, 495, 496, 497, 497, 498, 498, 500, 501, 502, 503, 506, 508, 509, 510, 511, 512, 512, 
      513, 513, 517, 517, 517, 518, 518, 519, 522, 522, 523, 523, 524, 526, 527, 527, 527, 528, 528, 
      530, 530, 531, 531, 532, 533, 534, 535, 536, 536, 537, 541, 543, 547, 549, 551, 552, 554, 554, 
      554, 555, 556, 556, 557, 560, 562, 563, 564, 564, 565, 565, 565, 566, 567, 567, 568, 569, 570, 
      571, 571, 572, 572, 578, 581, 582, 582, 584, 584, 585, 585, 586, 587, 589, 590, 592, 592, 592, 
      594, 595, 595, 597, 599, 602, 603, 605, 606, 606, 607, 609, 610, 614, 615, 616, 616, 617, 618, 
      618, 618, 619, 619, 621, 624, 624, 624, 626, 626, 626, 627, 629, 631, 631, 632, 633, 635, 635, 
      638, 639, 639, 640, 641, 642, 643, 643, 644, 644, 645, 647, 648, 648, 649, 650, 653, 654, 655, 
      655, 657, 657, 658, 660, 661, 663, 664, 666, 666, 667, 667, 669, 670, 671, 674, 675, 676, 677, 
      680, 683, 684, 685, 685, 685, 686, 686, 687, 689, 689, 690, 691, 692, 692, 692, 693, 693, 694, 
      695, 695, 696, 696, 697, 698, 700, 701, 701, 704, 705, 706, 706, 707, 708, 709, 709, 709, 710, 
      710, 713, 713, 714, 714, 715, 716, 716, 717, 718, 718, 720, 721, 721, 722, 723, 724, 725, 726, 
      726, 727, 728, 729, 730, 731, 732, 733, 733, 734, 737, 739, 739, 739, 740, 741, 743, 745, 746, 
      746, 747, 747, 748, 748, 749, 750, 751, 753, 753, 753, 755, 756, 758, 760, 761, 762, 763, 763, 
      765, 767, 769, 770, 771, 773, 774, 774, 776, 778, 779, 780, 782, 783, 785, 785, 785, 786, 786, 
      787, 787, 789, 789, 789, 790, 791, 791, 793, 794, 794, 794, 795, 796, 799, 800, 800, 801, 801, 
      802, 804, 806, 807, 808, 809, 811, 812, 812, 813, 814, 819, 820, 820, 820, 821, 822, 825, 825, 
      825, 827, 828, 828, 829, 830, 831, 831, 837, 837, 839, 840, 841, 841, 842, 843, 844, 846, 846, 
      846, 847, 848, 849, 849, 850, 850, 851, 852, 852, 853, 853, 853, 855, 855, 855, 856, 856, 856, 
      857, 857, 857, 858, 858, 858, 859, 859, 861, 861, 861, 862, 863, 863, 864, 866, 867, 870, 874, 
      875, 878, 880, 882, 882, 883, 884, 884, 886, 887, 888, 889, 889, 890, 890, 891, 891, 893, 895, 
      895, 895, 896, 897, 897, 899, 900, 901, 902, 903, 903, 905, 905, 906, 907, 908, 908, 909, 910, 
      910, 910, 911, 912, 913, 914, 917, 917, 919, 920, 921, 923, 923, 924, 925, 925, 926, 926, 926, 
      927, 927, 927, 931, 931, 933, 934, 935, 935, 936, 936, 937, 938, 939, 940, 944, 945, 946, 948, 
      948, 948, 950, 951, 953, 953, 953, 954, 954, 955, 955, 956, 957, 958, 958, 960, 961, 961, 961, 
      962, 963, 964, 964, 964, 965, 965, 966, 967, 968, 969, 969, 970, 971, 971, 974, 975, 976, 976, 
      977, 977, 977, 978, 980, 981, 981, 981, 982, 984, 984, 985, 986, 988, 988, 989, 990, 990, 990, 
      993, 993, 996, 996, 997, 999, 999, 1000, 1002, 1004, 1004, 1004, 1005, 1005, 1006, 1007, 1008, 
      1010, 1010, 1011, 1011, 1012, 1013, 1014, 1014, 1016, 1017, 1018, 1019, 1020, 1021, 1024, 1025, 
      1025, 1025, 1027, 1029, 1031, 1034, 1035, 1036, 1037, 1037, 1038, 1038, 1039, 1040, 1040, 1042, 
      1045, 1047, 1052, 1053, 1054, 1054, 1055, 1055, 1056, 1059, 1060, 1063, 1064, 1064, 1064, 1065, 
      1066, 1068, 1069, 1070, 1070, 1073, 1073, 1074, 1075, 1076, 1076, 1077, 1078, 1079, 1079, 1080, 
      1086, 1087, 1088, 1089, 1089, 1089, 1090, 1091, 1093, 1093, 1094, 1096, 1096, 1096, 1099, 1100, 
      1100, 1102, 1103, 1103, 1105, 1105, 1107, 1108, 1108, 1108, 1109, 1110, 1111, 1111, 1112, 1113, 
      1113, 1114, 1114, 1115, 1115, 1116, 1117, 1119, 1119, 1120, 1120, 1120, 1121, 1123, 1124, 1125, 
      1127, 1131, 1131, 1132, 1133, 1134, 1135, 1135, 1136, 1138, 1141, 1142, 1143, 1144, 1145, 1147, 
      1148, 1148, 1150, 1151, 1151, 1152, 1152, 1152, 1153, 1153, 1154, 1154, 1156, 1157, 1157, 1158, 
      1159, 1159, 1159, 1161, 1164, 1164, 1164, 1165, 1165, 1168, 1168, 1170, 1170, 1171, 1172, 1174, 
      1175, 1175, 1176, 1178, 1178, 1178, 1179, 1181, 1182, 1186, 1187, 1189, 1189, 1189, 1191, 1192, 
      1192, 1193, 1194, 1194, 1194, 1195, 1195, 1196, 1197, 1198, 1198, 1200, 1200, 1201, 1201, 1203, 
      1205, 1207, 1208, 1209, 1210, 1211, 1213, 1214, 1214, 1214, 1216, 1220, 1221, 1222, 1222, 1223, 
      1223, 1227, 1227, 1229, 1232, 1233, 1234, 1235, 1235, 1235, 1237, 1237, 1238, 1239, 1241, 1245, 
      1247, 1247, 1247, 1248, 1248, 1249, 1250, 1250, 1251, 1252, 1255, 1256, 1256, 1257, 1258, 1258, 
      1258, 1264, 1264, 1266, 1268, 1269, 1270, 1271, 1271, 1272, 1273, 1273, 1273, 1274, 1275, 1275, 
      1278, 1279, 1279, 1280, 1283, 1284, 1285, 1285, 1286, 1287, 1287, 1288, 1288, 1288, 1289, 1289, 
      1289, 1290, 1291, 1294, 1295, 1296, 1297, 1297, 1297, 1298, 1299, 1299, 1300, 1300, 1300, 1301, 
      1302, 1303, 1305, 1306, 1306, 1307, 1307, 1307, 1308, 1309, 1309, 1310, 1312, 1314, 1317, 1318, 
      1318, 1318, 1319, 1319, 1321, 1321, 1322, 1323, 1324, 1324, 1325, 1326, 1327, 1328, 1328, 1329, 
      1330, 1330, 1332, 1332, 1333, 1334, 1334, 1335, 1336, 1336, 1337, 1337, 1339, 1339, 1340, 1340, 
      1344, 1348, 1348, 1348, 1349, 1349, 1350, 1352, 1352, 1352, 1355, 1357, 1357, 1358, 1358, 1358, 
      1359, 1360, 1361, 1361, 1363, 1364, 1366, 1367, 1368, 1368, 1370, 1370, 1371, 1373, 1374, 1375, 
      1377, 1377, 1378, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1384, 1387, 1387, 1387, 1388, 1389, 
      1389, 1390, 1392, 1396, 1397, 1397, 1399, 1400, 1401, 1403, 1405, 1405, 1406, 1406, 1407, 1409, 
      1410, 1411, 1412, 1413, 1414, 1416, 1418, 1419, 1420, 1421, 1421, 1421, 1422, 1423, 1425, 1425, 
      1428, 1428, 1429, 1430, 1430, 1430, 1432, 1433, 1433, 1434, 1435, 1436, 1439, 1440, 1441, 1443, 
      1445, 1447, 1448, 1448, 1449, 1451, 1451, 1452, 1453, 1455, 1456, 1457, 1457, 1459, 1460, 1462, 
      1464, 1464, 1465, 1466, 1467, 1469, 1470, 1473, 1474, 1475, 1479, 1480, 1482, 1483, 1485, 1485, 
      1486, 1487, 1488, 1489, 1490, 1490, 1490, 1492, 1494, 1498, 1500, 1501, 1501, 1502, 1502, 1503, 
      1503, 1504, 1505, 1507, 1508, 1508, 1509, 1510, 1511, 1513, 1513, 1514, 1515, 1515, 1516, 1517, 
      1517, 1518, 1519, 1519, 1520, 1524, 1524, 1526, 1528, 1531, 1532, 1532, 1532, 1533, 1533, 1533, 
      1534, 1534, 1534, 1535, 1535, 1536, 1537, 1538, 1538, 1539, 1540, 1542, 1542, 1542, 1544, 1544, 
      1544, 1545, 1547, 1550, 1551, 1553, 1554, 1556, 1558, 1559, 1560, 1561, 1562, 1563, 1563, 1563, 
      1564, 1565, 1565, 1565, 1566, 1568, 1569, 1569, 1569, 1571, 1572, 1577, 1578, 1578, 1579, 1584, 
      1584, 1585, 1585, 1586, 1587, 1588, 1589, 1591, 1592, 1593, 1593, 1596, 1596, 1596, 1601, 1601, 
      1601, 1602, 1603, 1604, 1605, 1605, 1605, 1606, 1607, 1607, 1608, 1608, 1608, 1609, 1609, 1609, 
      1610, 1612, 1612, 1613, 1613, 1614, 1614, 1614, 1615, 1616, 1616, 1617, 1618, 1618, 1620, 1621, 
      1622, 1626, 1626, 1627, 1627, 1628, 1629, 1629, 1630, 1631, 1632, 1632, 1633, 1634, 1635, 1635, 
      1635, 1636, 1637, 1638, 1639, 1641, 1643, 1643, 1644, 1645, 1645, 1646, 1647, 1647, 1648, 1648, 
      1649, 1652, 1655, 1656, 1660, 1661, 1661, 1661, 1662, 1663, 1664, 1665, 1665, 1666, 1667, 1668, 
      1669, 1670, 1670, 1671, 1674, 1675, 1676, 1677, 1678, 1679, 1682, 1682, 1683, 1683, 1684, 1684, 
      1685, 1686, 1686, 1688, 1688, 1690, 1690, 1691, 1692, 1693, 1696, 1697, 1698, 1699, 1700, 1700, 
      1701, 1701, 1702, 1703, 1705, 1706, 1710, 1710, 1711, 1713, 1715, 1715, 1716, 1717, 1717, 1718, 
      1719, 1720, 1720, 1721, 1725, 1726, 1726, 1727, 1729, 1730, 1731, 1731, 1733, 1734, 1735, 1742, 
      1742, 1743, 1744, 1745, 1746, 1747, 1749, 1750, 1750, 1751, 1753, 1753, 1754, 1755, 1755, 1755, 
      1756, 1757, 1757, 1757, 1758, 1760, 1761, 1761, 1762, 1762, 1763, 1764, 1764, 1765, 1767, 1771, 
      1774, 1775, 1775, 1776, 1776, 1777, 1777, 1778, 1779, 1780, 1780, 1781, 1783, 1784, 1786, 1786, 
      1788, 1788, 1788, 1789, 1791, 1794, 1796, 1797, 1798, 1798, 1799, 1799, 1800, 1800, 1802, 1803, 
      1804, 1805, 1805, 1809, 1809, 1811, 1811, 1813, 1813, 1814, 1815, 1817, 1818, 1821, 1821, 1822, 
      1825, 1825, 1825, 1826, 1826, 1827, 1828, 1829, 1829, 1829, 1830, 1831, 1831, 1831, 1833, 1833, 
      1834, 1835, 1836, 1838, 1839, 1840, 1841, 1841, 1842, 1844, 1845, 1845, 1847, 1847, 1848, 1849, 
      1850, 1851, 1851, 1852, 1854, 1856, 1858, 1859, 1860, 1860, 1862, 1864, 1866, 1868, 1870, 1870, 
      1871, 1872, 1872, 1874, 1874, 1875, 1876, 1877, 1877, 1878, 1879, 1879, 1881, 1882, 1882, 1883, 
      1884, 1884, 1886, 1887, 1887, 1889, 1890, 1891, 1891, 1892, 1892, 1893, 1893, 1894, 1894, 1894, 
      1899, 1900, 1900, 1903, 1904, 1904, 1905, 1907, 1910, 1912, 1914, 1915, 1916, 1916, 1917, 1918, 
      1919, 1920, 1920, 1921, 1921, 1922, 1923, 1924, 1925, 1925, 1927, 1928, 1930, 1930, 1930, 1932, 
      1933, 1934, 1936, 1937, 1937, 1937, 1938, 1938, 1940, 1940, 1941, 1941, 1942, 1942, 1946, 1947, 
      1948, 1949, 1949, 1950, 1953, 1955, 1958, 1959, 1959, 1960, 1962, 1963, 1963, 1964, 1965, 1966, 
      1969, 1969, 1971, 1972, 1972, 1973, 1973, 1974, 1974, 1975, 1975, 1976, 1978, 1980, 1980, 1981, 
      1981, 1983, 1984, 1985, 1985, 1986, 1988, 1988, 1989, 1990, 1991, 1992, 1995, 1995, 1995, 1996, 
      2002, 2005, 2007, 2009, 2010, 2010, 2014, 2016, 2017, 2018, 2019, 2020, 2020, 2021, 2021, 2024, 
      2024, 2024, 2026, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2036, 2037, 2038, 2038, 2039, 
      2040, 2040, 2042, 2044, 2044, 2045, 2046, 2046, 2047, 2047, 2048, 2048, 2049, 2049, 2050, 2050, 
      2052, 2052, 2052, 2054, 2054, 2054, 2056, 2058, 2058, 2060, 2060, 2061, 2065, 2065, 2066, 2066, 
      2067, 2068, 2069, 2071, 2071, 2072, 2073, 2074, 2075, 2075, 2077, 2078, 2079, 2080, 2080, 2081, 
      2081, 2082, 2082, 2084, 2085, 2086, 2089, 2090, 2091, 2094, 2096, 2096, 2097, 2098, 2099, 2100, 
      2101, 2102, 2103, 2106, 2107, 2108, 2109, 2109, 2110, 2110, 2111, 2112, 2112, 2114, 2115, 2116, 
      2116, 2116, 2117, 2117, 2119, 2120, 2126, 2126, 2126, 2127, 2129, 2129, 2131, 2131, 2132, 2134, 
      2134, 2134, 2136, 2137, 2137, 2139, 2139, 2141, 2141, 2142, 2145, 2145, 2146, 2147, 2149, 2150, 
      2151, 2152, 2152, 2155, 2157, 2158, 2159, 2160, 2160, 2161, 2162, 2165, 2165, 2166, 2167, 2167, 
      2167, 2168, 2169, 2169, 2172, 2173, 2173, 2174, 2174, 2175, 2176, 2178, 2179, 2180, 2182, 2183, 
      2183, 2183, 2184, 2187, 2190, 2193, 2198, 2199, 2200, 2201, 2202, 2203, 2205, 2205, 2206, 2207, 
      2208, 2208, 2209, 2209, 2210, 2210, 2211, 2212, 2212, 2213, 2215, 2216, 2216, 2218, 2220, 2222, 
      2222, 2223, 2224, 2227, 2227, 2228, 2228, 2228, 2229, 2229, 2231, 2232, 2233, 2233, 2233, 2237, 
      2237, 2238, 2238, 2239, 2239, 2240, 2240, 2241, 2244, 2245, 2247, 2248, 2248, 2249, 2250, 2251, 
      2251, 2252, 2254, 2254, 2255, 2257, 2260, 2262, 2263, 2264, 2267, 2268, 2270, 2270, 2270, 2272, 
      2273, 2274, 2275, 2277, 2277, 2279, 2281, 2282, 2282, 2283, 2283, 2284, 2286, 2286, 2287, 2287, 
      2288, 2289, 2290, 2291, 2291, 2292, 2292, 2293, 2294, 2296, 2299, 2299, 2300, 2301, 2301, 2302, 
      2304, 2304, 2304, 2305, 2306, 2307, 2309, 2310, 2310, 2312, 2312, 2312, 2314, 2315, 2316, 2316, 
      2318, 2318, 2319, 2321, 2324, 2325, 2325, 2326, 2326, 2327, 2328, 2329, 2330, 2331, 2331, 2331, 
      2333, 2333, 2335, 2338, 2338, 2339, 2341, 2341, 2345, 2345, 2346, 2346, 2346, 2347, 2348, 2348, 
      2348, 2349, 2351, 2352, 2353, 2354, 2354, 2355, 2357, 2358, 2358, 2359, 2360, 2361, 2363, 2363, 
      2363, 2366, 2367, 2368, 2369, 2371, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2377, 2378, 2381, 
      2382, 2383, 2385, 2385, 2386, 2388, 2388, 2389, 2389, 2391, 2391, 2392, 2392, 2393, 2394, 2396, 
      2397, 2398, 2398, 2400, 2401, 2401, 2401, 2402, 2403, 2403, 2404, 2404, 2405, 2405, 2407, 2407, 
      2408, 2409, 2411, 2412, 2412, 2415, 2415, 2416, 2418, 2419, 2420, 2420, 2422, 2422, 2423, 2424, 
      2424, 2425, 2429, 2430, 2431, 2431, 2433, 2435, 2436, 2436, 2438, 2439, 2440, 2440, 2441, 2443, 
      2443, 2444, 2445, 2446, 2446, 2446, 2448, 2448, 2449, 2449, 2449, 2450, 2451, 2452, 2452, 2452, 
      2453, 2455, 2456, 2456, 2457, 2459, 2460, 2460, 2460, 2461, 2462, 2464, 2465, 2466, 2467, 2468, 
      2469, 2470, 2472, 2475, 2475, 2476, 2477, 2478, 2482, 2482, 2483, 2483, 2485, 2486, 2487, 2487, 
      2489, 2492, 2493, 2496, 2496, 2497, 2498, 2499, 2499, 2501, 2502, 2502, 2504, 2504, 2505, 2506, 
      2507, 2508, 2509, 2509, 2510, 2512, 2513, 2513, 2515, 2515, 2515, 2516, 2516, 2517, 2518, 2518, 
      2519, 2519, 2519, 2520, 2521, 2521, 2523, 2525, 2527, 2527, 2527, 2530, 2532, 2532, 2533, 2534, 
      2534, 2534, 2535, 2535, 2536, 2537, 2538, 2538, 2539, 2539, 2539, 2540, 2540, 2541, 2544, 2544, 
      2545, 2545, 2546, 2547, 2550, 2554, 2554, 2555, 2556, 2558, 2559, 2563, 2563, 2564, 2565, 2565, 
      2566, 2566, 2567, 2567, 2567, 2568, 2569, 2570, 2571, 2571, 2572, 2572, 2573, 2584, 2584, 2586, 
      2587, 2588, 2588, 2589, 2590, 2590, 2592, 2593, 2593, 2597, 2597, 2598, 2599, 2599, 2600, 2602, 
      2603, 2604, 2605, 2606, 2606, 2608, 2608, 2611, 2612, 2613, 2613, 2613, 2614, 2614, 2616, 2617, 
      2618, 2621, 2623, 2625, 2626, 2627, 2627, 2628, 2629, 2629, 2630, 2631, 2632, 2632, 2633, 2634, 
      2635, 2638, 2639, 2639, 2640, 2641, 2642, 2643, 2643, 2643, 2644, 2645, 2646, 2646, 2647, 2648, 
      2648, 2648, 2650, 2650, 2650, 2653, 2654, 2655, 2655, 2657, 2658, 2658, 2658, 2659, 2660, 2660, 
      2660, 2661, 2663, 2666, 2667, 2667, 2669, 2669, 2670, 2671, 2672, 2673, 2674, 2674, 2676, 2677, 
      2679, 2679, 2681, 2681, 2681, 2683, 2683, 2684, 2685, 2685, 2685, 2686, 2687, 2688, 2688, 2688, 
      2689, 2690, 2691, 2692, 2694, 2695, 2696, 2697, 2698, 2699, 2701, 2702, 2702, 2703, 2704, 2705, 
      2708, 2708, 2710, 2711, 2711, 2711, 2712, 2714, 2715, 2715, 2715, 2717, 2717, 2718, 2718, 2719, 
      2720, 2721, 2723, 2723, 2724, 2725, 2725, 2726, 2728, 2728, 2731, 2731, 2731, 2733, 2734, 2734, 
      2735, 2739, 2741, 2743, 2745, 2748, 2748, 2748, 2749, 2751, 2751, 2751, 2754, 2754, 2757, 2758, 
      2759, 2761, 2761, 2761, 2762, 2762, 2763, 2764, 2765, 2766, 2766, 2767, 2767, 2768, 2771, 2773, 
      2774, 2774, 2774, 2775, 2776, 2776, 2776, 2778, 2780, 2781, 2784, 2785, 2785, 2786, 2788, 2788, 
      2788, 2789, 2789, 2789, 2790, 2790, 2790, 2791, 2791, 2792, 2793, 2794, 2795, 2795, 2796, 2796, 
      2796, 2797, 2799, 2799, 2801, 2802, 2803, 2805, 2808, 2808, 2810, 2810, 2810, 2811, 2812, 2813, 
      2813, 2814, 2814, 2815, 2815, 2815, 2816, 2816, 2816, 2817, 2818, 2819, 2821, 2822, 2823, 2823, 
      2826, 2828, 2830, 2830, 2831, 2835, 2835, 2836, 2836, 2837, 2838, 2841, 2841, 2843, 2843, 2844, 
      2844, 2844, 2846, 2847, 2849, 2851, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2861, 2862, 
      2863, 2864, 2864, 2865, 2866, 2867, 2868, 2868, 2868, 2870, 2871, 2871, 2871, 2872, 2872, 2873, 
      2874, 2875, 2875, 2877, 2878, 2878, 2879, 2879, 2879, 2880, 2881, 2882, 2885, 2886, 2886, 2887, 
      2888, 2889, 2892, 2893, 2894, 2895, 2895, 2896, 2896, 2897, 2897, 2897, 2898, 2900, 2900, 2900, 
      2901, 2903, 2904, 2907, 2907, 2907, 2908, 2908, 2909, 2910, 2912, 2917, 2919, 2921, 2922, 2924, 
      2924, 2925, 2927, 2930, 2933, 2934, 2935, 2937, 2938, 2941, 2943, 2943, 2945, 2945, 2946, 2946, 
      2947, 2948, 2948, 2950, 2952, 2952, 2952, 2953, 2954, 2956, 2956, 2957, 2958, 2958, 2958, 2959, 
      2959, 2961, 2963, 2964, 2965, 2969, 2970, 2970, 2971, 2976, 2977, 2978, 2979, 2980, 2981, 2981, 
      2982, 2983, 2984, 2985, 2987, 2987, 2988, 2989, 2990, 2993, 2995, 2996, 2997, 2998, 2999, 3000, 
      3001, 3001, 3003, 3004, 3004, 3004, 3005, 3006, 3007, 3010, 3012, 3012, 3013, 3015, 3015, 3015, 
      3017, 3017, 3018, 3018, 3018, 3019, 3021, 3022, 3023, 3025, 3027, 3028, 3029, 3030, 3031, 3031, 
      3032, 3034, 3034, 3035, 3035, 3038, 3039, 3039, 3040, 3042, 3042, 3045, 3045, 3046, 3046, 3048, 
      3048, 3049, 3051, 3051, 3053, 3054, 3055, 3055, 3056, 3056, 3057, 3059, 3060, 3061, 3062, 3062, 
      3063, 3065, 3065, 3067, 3068, 3070, 3070, 3071, 3071, 3072, 3074, 3075, 3075, 3076, 3076, 3076, 
      3077, 3078, 3078, 3078, 3079, 3080, 3080, 3083, 3084, 3085, 3086, 3086, 3087, 3088, 3088, 3090, 
      3091, 3091, 3092, 3094, 3097, 3098, 3100, 3102, 3103, 3103, 3103, 3104, 3104, 3104, 3106, 3107, 
      3109, 3109, 3109, 3110, 3110, 3111, 3111, 3112, 3113, 3114, 3115, 3115, 3116, 3117, 3118, 3118, 
      3118, 3119, 3120, 3120, 3120, 3121, 3121, 3124, 3124, 3124, 3125, 3128, 3131, 3132, 3132, 3133, 
      3133, 3135, 3136, 3136, 3137, 3138, 3138, 3139, 3140, 3142, 3142, 3143, 3144, 3145, 3145, 3146, 
      3148, 3149, 3149, 3151, 3152, 3152, 3154, 3156, 3157, 3159, 3160, 3161, 3162, 3163, 3164, 3164, 
      3165, 3165, 3166, 3166, 3166, 3169, 3170, 3170, 3171, 3173, 3175, 3178, 3179, 3179, 3181, 3182, 
      3182, 3183, 3184, 3184, 3185, 3187, 3189, 3189, 3189, 3190, 3191, 3191, 3192, 3193, 3193, 3193, 
      3194, 3196, 3196, 3197, 3198, 3198, 3198, 3200, 3200, 3201, 3202, 3202, 3203, 3204, 3204, 3206, 
      3206, 3208, 3209, 3209, 3209, 3212, 3213, 3214, 3215, 3218, 3219, 3221, 3223, 3223, 3224, 3225, 
      3226, 3227, 3229, 3230, 3231, 3231, 3233, 3234, 3236, 3237, 3237, 3238, 3243, 3245, 3245, 3245, 
      3247, 3247, 3247, 3248, 3249, 3249, 3249, 3250, 3251, 3252, 3254, 3256, 3257, 3257, 3258, 3258, 
      3259, 3261, 3262, 3263 ] ]