[ [ 1, 4, 10, 14, 16, 17, 23, 30, 32, 35, 36, 42, 43, 47, 48, 50, 55, 57, 63, 66, 68, 71, 73, 74, 77, 
      79, 85, 87, 89, 90, 92, 98, 112, 119, 121, 123, 126, 127, 129, 131, 132, 133, 135, 149, 150, 154, 
      156, 159, 160, 161, 165, 181, 184, 186, 187, 189, 190, 194, 196, 197, 200, 204, 205, 206, 207, 
      214, 224, 227, 228, 230, 233, 235, 238, 239, 240, 249, 252, 254, 255, 256, 257, 261, 263, 270, 
      273, 274, 275, 276, 278, 282, 283, 290, 292, 299, 300, 301, 302, 303, 309, 316, 319, 323, 327, 
      334, 340, 342, 344, 347, 348, 351, 354, 356, 358, 364, 368, 369, 370, 373, 376, 378, 379, 382, 
      383, 386, 389, 398, 399, 400, 403, 406, 408, 409, 411, 420, 422, 423, 428, 436, 437, 449, 456, 
      458, 462, 467, 468, 471, 472, 473, 479, 489, 491, 492, 496, 498, 499, 505, 506, 508, 516, 526, 
      529, 534, 539, 540, 542, 545, 547, 549, 550, 552, 553, 554, 556, 562, 565, 566, 567, 570, 573, 
      581, 587, 588, 589, 593, 599, 607, 609, 612, 613, 620, 623, 625, 634, 639, 643, 645, 648, 654, 
      655, 659, 660, 665, 672, 673, 675, 683, 686, 687, 693, 694, 699, 700, 704, 707, 708, 709, 710, 
      715, 717, 719, 720, 722, 724, 728, 731, 733, 735, 737, 738, 742, 744, 745, 749, 750, 753, 760, 
      765, 766, 767, 768, 769, 770, 771, 775, 783, 786, 787, 790, 793, 796, 801, 805, 820, 822, 829, 
      844, 847, 852, 853, 861, 868, 870, 871, 878, 880, 881, 886, 888, 890, 891, 896, 898, 900, 902, 
      903, 906, 907, 910, 912, 914, 915, 916, 925, 927, 928, 930, 931, 932, 934, 938, 939, 944, 946, 
      952, 955, 962, 963, 964, 971, 972, 985, 987, 988, 991, 992, 993, 998, 999, 1006, 1007, 1011, 
      1012, 1017, 1018, 1026, 1038, 1040, 1046, 1048, 1056, 1057, 1066, 1067, 1068, 1072, 1077, 1078, 
      1079, 1082, 1088, 1091, 1096, 1101, 1102, 1103, 1104, 1107, 1109, 1110, 1114, 1115, 1116, 1118, 
      1122, 1123, 1125, 1130, 1132, 1136, 1139, 1141, 1148, 1150, 1152, 1154, 1155, 1157, 1158, 1159, 
      1161, 1163, 1172, 1175, 1181, 1183, 1184, 1189, 1191, 1193, 1199, 1204, 1206, 1210, 1218, 1219, 
      1221, 1222, 1224, 1225, 1226, 1229, 1231, 1232, 1234, 1235, 1236, 1238, 1239, 1242, 1247, 1250, 
      1258, 1260, 1261, 1269, 1272, 1277, 1279, 1280, 1282, 1293, 1294, 1297, 1299, 1302, 1304, 1310, 
      1311, 1312, 1316, 1317, 1325, 1328, 1330, 1333, 1334, 1339, 1344, 1348, 1349, 1353, 1355, 1358, 
      1359, 1361, 1363, 1365, 1369, 1370, 1371, 1372, 1374, 1378, 1381, 1382, 1385, 1386, 1391, 1394, 
      1395, 1396, 1398, 1400, 1401, 1402, 1403, 1404, 1407, 1409, 1415, 1417, 1418, 1422, 1424, 1429, 
      1430, 1434, 1436, 1437, 1438, 1443, 1448, 1449, 1450, 1456, 1457, 1465, 1470, 1471, 1472, 1478, 
      1482, 1485, 1488, 1494, 1496, 1500, 1506, 1507, 1510, 1512, 1514, 1515, 1516, 1518, 1519, 1520, 
      1521, 1522, 1525, 1532, 1533, 1542, 1543, 1547, 1548, 1549, 1551, 1552, 1553, 1556, 1559, 1563, 
      1569, 1574, 1576, 1580, 1581, 1583, 1586, 1590, 1591, 1596, 1597, 1599, 1601, 1602, 1607, 1608, 
      1609, 1615, 1616, 1617, 1618, 1620, 1625, 1627, 1628, 1630, 1631, 1633, 1636, 1637, 1647, 1648, 
      1659, 1663, 1669, 1670, 1671, 1672, 1676, 1677, 1680, 1682, 1684, 1686, 1689, 1690, 1691, 1694, 
      1697, 1698, 1701, 1702, 1703, 1704, 1705, 1707, 1709, 1715, 1716, 1719, 1724, 1725, 1726, 1727, 
      1729, 1733, 1735, 1737, 1745, 1752, 1756, 1758, 1759, 1760, 1763, 1767, 1768, 1769, 1774, 1777, 
      1778, 1779, 1781, 1785, 1786, 1789, 1791, 1793, 1795, 1798, 1801, 1804, 1806, 1807, 1809, 1810, 
      1811, 1813, 1814, 1823, 1824, 1827, 1829, 1831, 1833, 1837, 1838, 1839, 1842, 1845, 1846, 1847, 
      1851, 1857, 1863, 1866, 1867, 1868, 1869, 1871, 1872, 1877, 1881, 1888, 1889, 1898, 1903, 1904, 
      1907, 1914, 1918, 1919, 1926, 1935, 1936, 1938, 1941, 1944, 1947, 1949, 1950, 1951, 1953, 1956, 
      1960, 1961, 1964, 1965, 1967, 1968, 1976, 1977, 1980, 1990, 1991, 1992, 1995, 1998, 2003, 2006, 
      2007, 2008, 2010, 2013, 2016, 2019, 2022, 2027, 2029, 2032, 2033, 2034, 2039, 2042, 2043, 2044, 
      2045, 2046, 2049, 2050, 2058, 2064, 2066, 2068, 2072, 2073, 2076, 2080, 2082, 2089, 2093, 2096, 
      2098, 2099, 2100, 2109, 2115, 2117, 2120, 2121, 2123, 2124, 2125, 2127, 2131, 2134, 2135, 2139, 
      2140, 2141, 2145, 2147, 2153, 2154, 2157, 2165, 2167, 2169, 2170, 2172, 2173, 2175, 2179, 2180, 
      2181, 2183, 2184, 2187, 2188, 2189, 2190, 2193, 2194, 2198, 2200, 2208, 2210, 2212, 2213, 2214, 
      2215, 2216, 2228, 2230, 2233, 2234, 2242, 2243, 2248, 2251, 2257, 2260, 2266, 2269, 2281, 2282, 
      2288, 2295, 2298, 2303, 2307, 2308, 2311, 2315, 2316, 2319, 2320, 2322, 2324, 2326, 2331, 2332, 
      2333, 2335, 2337, 2338, 2341, 2343, 2348, 2350, 2351, 2353, 2358, 2359, 2361, 2365, 2367, 2370, 
      2373, 2377, 2380, 2381, 2382, 2393, 2394, 2397, 2400, 2401, 2402, 2403, 2404, 2408, 2410, 2414, 
      2415, 2417, 2418, 2421, 2424, 2426, 2427, 2428, 2429, 2431, 2441, 2442, 2443, 2446, 2453, 2456, 
      2459, 2460, 2461, 2464, 2466, 2467, 2469, 2472, 2473, 2475, 2481, 2482, 2491, 2496, 2497, 2501, 
      2502, 2504, 2508, 2509, 2510, 2511, 2513, 2514, 2515, 2517, 2518, 2519, 2524, 2527, 2529, 2531, 
      2533, 2535, 2536, 2537, 2542, 2543, 2547, 2549, 2554, 2555, 2558, 2559, 2560, 2563, 2564, 2565, 
      2567, 2569, 2577, 2578, 2587, 2592, 2595, 2599, 2603, 2604, 2605, 2607, 2608, 2611, 2629, 2630, 
      2632, 2634, 2637, 2644, 2652, 2653, 2654, 2655, 2657, 2658, 2667, 2668, 2674, 2675, 2680, 2681, 
      2682, 2683, 2685, 2686, 2687, 2699, 2702, 2703, 2706, 2707, 2708, 2709, 2710, 2712, 2713, 2715, 
      2716, 2717, 2718, 2719, 2721, 2722, 2726, 2727, 2728, 2730, 2733, 2736, 2740, 2743, 2746, 2747, 
      2750, 2753, 2754, 2755, 2757, 2759, 2766, 2768, 2769, 2774, 2775, 2778, 2782, 2783, 2789, 2790, 
      2791, 2795, 2797, 2799, 2801, 2802, 2803, 2810, 2812, 2813, 2816, 2817, 2818, 2821, 2822, 2823, 
      2825, 2831, 2832, 2834, 2837, 2847, 2850, 2854, 2855, 2862, 2863, 2864, 2866, 2875, 2878, 2885, 
      2889, 2890, 2897, 2899, 2900, 2903, 2919, 2920, 2925, 2926, 2928, 2929, 2938, 2939, 2949, 2953, 
      2955, 2956, 2958, 2959, 2964, 2965, 2967, 2968, 2974, 2978, 2981, 2984, 2985, 2987, 2990, 2992, 
      2993, 3001, 3017, 3020, 3023, 3025, 3029, 3032, 3037, 3041, 3044, 3051, 3053, 3055, 3056, 3057, 
      3062, 3068, 3070, 3088, 3090, 3095, 3096, 3098, 3104, 3108, 3113, 3117, 3118, 3119, 3123, 3132, 
      3133, 3135, 3144, 3145, 3146, 3150, 3151, 3153, 3156, 3157, 3160, 3161, 3162, 3167, 3176, 3178, 
      3188, 3189, 3190, 3192, 3194, 3196, 3206, 3207, 3213, 3224, 3226, 3230, 3232, 3233, 3237, 3238, 
      3239 ], [ 1, 1, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 
      15, 21, 21, 22, 26, 26, 26, 26, 26, 28, 28, 28, 28, 28, 28, 28, 29, 29, 30, 34, 35, 37, 40, 40, 
      42, 44, 44, 48, 48, 48, 48, 48, 48, 48, 49, 49, 49, 57, 57, 57, 57, 57, 57, 57, 61, 63, 69, 75, 
      75, 77, 77, 84, 85, 93, 93, 95, 108, 108, 108, 108, 108, 111, 111, 111, 111, 111, 111, 111, 111, 
      111, 111, 117, 117, 123, 123, 128, 128, 128, 132, 132, 137, 142, 142, 142, 142, 142, 143, 143, 
      143, 143, 143, 143, 143, 143, 143, 143, 155, 155, 157, 157, 157, 157, 157, 157, 162, 163, 171, 
      171, 173, 175, 175, 184, 184, 192, 192, 193, 202, 202, 202, 202, 202, 208, 215, 215, 217, 219, 
      228, 228, 230, 230, 230, 230, 230, 231, 233, 233, 236, 238, 238, 238, 240, 240, 240, 240, 240, 
      242, 248, 254, 254, 259, 259, 259, 259, 259, 265, 266, 266, 266, 266, 266, 266, 266, 272, 276, 
      276, 276, 276, 276, 279, 282, 282, 282, 282, 282, 284, 284, 288, 288, 288, 288, 288, 288, 289, 
      289, 289, 289, 289, 298, 298, 302, 304, 304, 309, 309, 312, 312, 315, 315, 315, 315, 315, 316, 
      317, 317, 317, 317, 317, 317, 317, 319, 319, 320, 320, 323, 324, 324, 327, 344, 344, 344, 344, 
      344, 347, 347, 352, 352, 352, 352, 352, 353, 353, 353, 353, 353, 355, 356, 356, 356, 356, 356, 
      356, 356, 356, 356, 356, 357, 357, 357, 357, 357, 357, 357, 357, 357, 358, 360, 363, 364, 364, 
      364, 364, 364, 369, 369, 375, 375, 375, 375, 375, 375, 375, 375, 375, 378, 378, 390, 395, 395, 
      403, 408, 408, 420, 423, 423, 423, 423, 423, 423, 423, 423, 423, 425, 425, 426, 426, 426, 426, 
      426, 426, 427, 433, 435, 435, 438, 438, 438, 438, 438, 438, 438, 438, 438, 438, 441, 441, 441, 
      443, 443, 443, 443, 443, 443, 443, 445, 447, 447, 447, 449, 450, 450, 450, 450, 450, 450, 450, 
      453, 456, 456, 456, 456, 456, 456, 456, 463, 463, 463, 463, 463, 464, 470, 470, 470, 470, 470, 
      470, 471, 471, 475, 475, 475, 475, 475, 481, 481, 481, 481, 481, 481, 481, 483, 484, 484, 486, 
      488, 488, 489, 489, 489, 489, 489, 491, 491, 492, 493, 493, 493, 493, 493, 495, 497, 501, 506, 
      506, 511, 511, 511, 512, 516, 516, 516, 516, 516, 516, 516, 522, 522, 526, 528, 528, 528, 530, 
      534, 535, 535, 535, 535, 535, 535, 535, 543, 546, 546, 546, 546, 546, 546, 546, 546, 546, 546, 
      547, 550, 550, 550, 550, 550, 550, 550, 558, 558, 558, 558, 558, 560, 560, 560, 564, 564, 564, 
      564, 564, 564, 564, 564, 564, 564, 565, 565, 565, 565, 565, 574, 574, 574, 574, 574, 574, 575, 
      575, 575, 575, 575, 586, 586, 588, 588, 589, 592, 592, 595, 595, 595, 595, 595, 595, 596, 596, 
      604, 604, 604, 604, 604, 604, 604, 604, 604, 607, 607, 610, 610, 613, 613, 613, 613, 613, 613, 
      613, 613, 613, 613, 616, 616, 616, 616, 616, 617, 617, 619, 619, 619, 619, 619, 623, 623, 625, 
      629, 632, 632, 636, 638, 638, 638, 638, 638, 638, 638, 638, 638, 638, 641, 642, 642, 646, 646, 
      648, 648, 649, 649, 656, 656, 658, 662, 664, 664, 664, 664, 664, 664, 668, 672, 672, 673, 673, 
      675, 676, 676, 677, 677, 680, 682, 682, 690, 690, 690, 690, 690, 690, 691, 691, 695, 695, 695, 
      695, 695, 697, 697, 697, 697, 697, 697, 697, 697, 697, 702, 702, 702, 703, 703, 704, 704, 704, 
      704, 704, 717, 717, 722, 722, 724, 724, 729, 729, 729, 729, 729, 730, 730, 730, 731, 732, 733, 
      733, 741, 751, 751, 751, 751, 751, 751, 751, 755, 755, 756, 756, 762, 762, 764, 765, 765, 768, 
      770, 770, 771, 771, 771, 771, 771, 774, 774, 780, 780, 780, 780, 780, 782, 782, 784, 784, 794, 
      795, 796, 796, 799, 799, 800, 800, 804, 804, 804, 804, 804, 805, 805, 807, 807, 807, 807, 807, 
      807, 807, 807, 807, 808, 808, 812, 818, 830, 833, 833, 835, 836, 836, 836, 836, 836, 836, 836, 
      836, 836, 836, 845, 847, 849, 849, 849, 854, 854, 854, 854, 854, 854, 854, 854, 854, 858, 858, 
      859, 859, 860, 862, 862, 862, 862, 862, 863, 867, 867, 872, 875, 878, 880, 882, 882, 882, 882, 
      882, 886, 886, 888, 892, 893, 893, 893, 893, 893, 893, 894, 894, 894, 894, 894, 895, 898, 898, 
      901, 901, 901, 901, 901, 902, 902, 905, 905, 906, 906, 909, 909, 915, 916, 916, 916, 916, 916, 
      916, 916, 916, 916, 918, 923, 925, 925, 925, 925, 925, 925, 931, 931, 931, 931, 931, 932, 932, 
      932, 932, 932, 933, 933, 933, 933, 933, 936, 936, 937, 937, 944, 944, 944, 944, 944, 944, 945, 
      945, 945, 945, 945, 945, 950, 954, 954, 954, 954, 954, 954, 954, 954, 954, 956, 956, 956, 956, 
      956, 959, 959, 959, 959, 959, 959, 959, 961, 961, 965, 965, 971, 971, 971, 971, 971, 973, 977, 
      977, 978, 979, 980, 980, 980, 980, 980, 980, 980, 980, 980, 980, 981, 981, 981, 981, 981, 984, 
      984, 985, 985, 985, 985, 985, 987, 987, 987, 987, 987, 987, 990, 996, 1002, 1004, 1004, 1004, 
      1006, 1010, 1013, 1013, 1018, 1020, 1020, 1020, 1020, 1020, 1025, 1025, 1028, 1028, 1031, 1031, 
      1035, 1035, 1037, 1037, 1038, 1038, 1038, 1038, 1038, 1039, 1039, 1039, 1039, 1039, 1048, 1048, 
      1048, 1048, 1048, 1049, 1053, 1053, 1053, 1053, 1053, 1057, 1057, 1059, 1059, 1064, 1064, 1067, 
      1069, 1070, 1070, 1082, 1082, 1083, 1093, 1093, 1093, 1093, 1093, 1093, 1103, 1103, 1105, 1105, 
      1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1106, 1111, 1114, 1114, 1114, 1114, 1114, 1114, 
      1114, 1114, 1114, 1116, 1120, 1121, 1121, 1121, 1121, 1121, 1124, 1124, 1124, 1124, 1124, 1124, 
      1124, 1124, 1124, 1124, 1125, 1125, 1125, 1125, 1125, 1126, 1130, 1130, 1130, 1130, 1130, 1131, 
      1131, 1131, 1131, 1131, 1138, 1141, 1141, 1142, 1142, 1146, 1148, 1148, 1151, 1151, 1151, 1151, 
      1151, 1153, 1153, 1154, 1154, 1154, 1154, 1154, 1164, 1164, 1173, 1177, 1179, 1179, 1179, 1179, 
      1179, 1182, 1190, 1191, 1192, 1193, 1193, 1193, 1193, 1193, 1193, 1193, 1193, 1193, 1195, 1195, 
      1195, 1195, 1195, 1195, 1195, 1195, 1195, 1199, 1199, 1199, 1199, 1199, 1200, 1200, 1206, 1206, 
      1206, 1206, 1206, 1206, 1206, 1207, 1207, 1209, 1209, 1209, 1209, 1209, 1209, 1209, 1209, 1209, 
      1221, 1222, 1225, 1227, 1230, 1230, 1232, 1232, 1232, 1235, 1235, 1235, 1235, 1235, 1243, 1243, 
      1245, 1245, 1245, 1245, 1245, 1245, 1245, 1245, 1245, 1245, 1247, 1249, 1249, 1249, 1249, 1249, 
      1249, 1249, 1249, 1249, 1249, 1254, 1254, 1256, 1256, 1264, 1277, 1278, 1280, 1280, 1281, 1281, 
      1281, 1281, 1281, 1281, 1281, 1282, 1282, 1287, 1287, 1287, 1287, 1287, 1290, 1290, 1290, 1290, 
      1290, 1290, 1290, 1290, 1290, 1290, 1292, 1295, 1295, 1296, 1299, 1305, 1308, 1310, 1310, 1310, 
      1310, 1310, 1315, 1315, 1315, 1315, 1315, 1317, 1317, 1326, 1330, 1330, 1337, 1337, 1338, 1338, 
      1338, 1338, 1338, 1339, 1339, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1343, 1346, 
      1346, 1348, 1349, 1349, 1349, 1349, 1349, 1352, 1352, 1354, 1354, 1358, 1358, 1358, 1358, 1358, 
      1358, 1358, 1358, 1358, 1358, 1364, 1364, 1364, 1364, 1364, 1364, 1366, 1366, 1366, 1369, 1369, 
      1369, 1369, 1369, 1371, 1371, 1371, 1372, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1378, 1378, 
      1378, 1378, 1378, 1379, 1386, 1386, 1387, 1388, 1390, 1390, 1390, 1390, 1390, 1390, 1390, 1391, 
      1391, 1392, 1396, 1396, 1396, 1396, 1396, 1396, 1396, 1396, 1396, 1402, 1402, 1403, 1404, 1404, 
      1406, 1406, 1406, 1406, 1406, 1407, 1407, 1407, 1407, 1407, 1409, 1409, 1412, 1412, 1412, 1412, 
      1412, 1412, 1412, 1413, 1413, 1414, 1414, 1414, 1414, 1414, 1415, 1415, 1415, 1415, 1415, 1417, 
      1417, 1417, 1417, 1417, 1417, 1417, 1417, 1417, 1418, 1427, 1427, 1427, 1427, 1427, 1429, 1429, 
      1431, 1436, 1436, 1439, 1439, 1439, 1439, 1439, 1439, 1444, 1444, 1445, 1445, 1445, 1445, 1445, 
      1447, 1447, 1447, 1447, 1447, 1448, 1448, 1449, 1449, 1451, 1452, 1452, 1456, 1456, 1458, 1458, 
      1458, 1458, 1458, 1458, 1458, 1460, 1462, 1462, 1463, 1464, 1464, 1464, 1464, 1464, 1464, 1464, 
      1464, 1464, 1464, 1466, 1466, 1467, 1473, 1480, 1481, 1482, 1482, 1482, 1482, 1482, 1482, 1482, 
      1483, 1483, 1483, 1483, 1483, 1483, 1484, 1484, 1485, 1485, 1485, 1485, 1485, 1485, 1485, 1485, 
      1485, 1485, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1491, 1491, 1491, 1491, 
      1491, 1491, 1491, 1492, 1492, 1492, 1492, 1492, 1495, 1495, 1495, 1495, 1495, 1496, 1496, 1497, 
      1497, 1498, 1499, 1499, 1499, 1499, 1499, 1500, 1500, 1500, 1500, 1500, 1503, 1510, 1513, 1513, 
      1518, 1518, 1519, 1519, 1524, 1524, 1524, 1524, 1524, 1526, 1534, 1538, 1538, 1538, 1538, 1538, 
      1542, 1543, 1543, 1543, 1543, 1543, 1545, 1547, 1552, 1552, 1552, 1552, 1552, 1552, 1552, 1552, 
      1552, 1552, 1553, 1553, 1553, 1553, 1553, 1556, 1556, 1559, 1559, 1559, 1560, 1560, 1560, 1560, 
      1560, 1568, 1571, 1573, 1573, 1573, 1577, 1580, 1582, 1588, 1588, 1596, 1601, 1601, 1601, 1601, 
      1601, 1601, 1604, 1604, 1604, 1604, 1604, 1604, 1604, 1604, 1604, 1605, 1605, 1605, 1605, 1605, 
      1608, 1609, 1614, 1614, 1617, 1620, 1620, 1621, 1621, 1621, 1621, 1621, 1623, 1623, 1623, 1623, 
      1623, 1623, 1623, 1623, 1623, 1623, 1626, 1626, 1626, 1626, 1626, 1626, 1628, 1637, 1637, 1637, 
      1637, 1637, 1637, 1637, 1637, 1637, 1637, 1646, 1649, 1649, 1652, 1652, 1652, 1652, 1652, 1653, 
      1653, 1653, 1653, 1653, 1661, 1661, 1661, 1664, 1664, 1664, 1664, 1664, 1667, 1667, 1672, 1672, 
      1672, 1676, 1677, 1677, 1679, 1679, 1679, 1679, 1679, 1684, 1684, 1684, 1684, 1684, 1687, 1691, 
      1692, 1696, 1696, 1696, 1696, 1696, 1703, 1703, 1703, 1703, 1703, 1705, 1705, 1705, 1705, 1705, 
      1710, 1710, 1710, 1710, 1710, 1710, 1712, 1712, 1713, 1714, 1715, 1715, 1718, 1719, 1722, 1722, 
      1723, 1725, 1725, 1725, 1725, 1725, 1725, 1727, 1727, 1727, 1727, 1727, 1727, 1727, 1727, 1727, 
      1727, 1732, 1732, 1732, 1732, 1732, 1732, 1732, 1732, 1732, 1735, 1735, 1736, 1736, 1736, 1736, 
      1736, 1738, 1738, 1738, 1743, 1745, 1745, 1746, 1752, 1752, 1752, 1752, 1752, 1752, 1752, 1752, 
      1752, 1767, 1767, 1769, 1769, 1770, 1771, 1771, 1771, 1771, 1771, 1771, 1771, 1771, 1771, 1772, 
      1772, 1772, 1772, 1772, 1774, 1776, 1777, 1777, 1777, 1777, 1777, 1777, 1777, 1777, 1777, 1780, 
      1781, 1787, 1789, 1791, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1796, 1796, 1799, 1799, 1801, 
      1801, 1808, 1810, 1810, 1811, 1811, 1812, 1812, 1812, 1812, 1812, 1812, 1812, 1812, 1812, 1818, 
      1818, 1820, 1820, 1820, 1820, 1820, 1820, 1820, 1820, 1820, 1820, 1821, 1821, 1821, 1821, 1821, 
      1825, 1826, 1826, 1830, 1830, 1833, 1833, 1833, 1833, 1833, 1833, 1833, 1834, 1834, 1835, 1835, 
      1836, 1836, 1836, 1836, 1836, 1839, 1839, 1839, 1839, 1839, 1839, 1839, 1841, 1841, 1841, 1841, 
      1841, 1842, 1850, 1855, 1855, 1855, 1855, 1855, 1855, 1855, 1855, 1855, 1855, 1858, 1858, 1859, 
      1860, 1860, 1860, 1860, 1860, 1863, 1863, 1865, 1865, 1867, 1867, 1869, 1874, 1874, 1874, 1874, 
      1874, 1876, 1882, 1883, 1887, 1887, 1889, 1889, 1889, 1889, 1889, 1892, 1892, 1892, 1892, 1892, 
      1892, 1892, 1892, 1892, 1898, 1898, 1898, 1898, 1898, 1898, 1898, 1898, 1898, 1899, 1899, 1903, 
      1905, 1907, 1907, 1913, 1913, 1913, 1913, 1913, 1914, 1918, 1920, 1924, 1924, 1924, 1924, 1924, 
      1924, 1925, 1925, 1925, 1925, 1925, 1927, 1927, 1927, 1927, 1927, 1932, 1932, 1933, 1933, 1933, 
      1933, 1933, 1934, 1934, 1934, 1935, 1935, 1935, 1935, 1935, 1935, 1935, 1938, 1938, 1938, 1939, 
      1941, 1944, 1950, 1950, 1952, 1952, 1952, 1952, 1952, 1952, 1952, 1953, 1953, 1955, 1955, 1955, 
      1955, 1955, 1955, 1965, 1965, 1965, 1965, 1965, 1967, 1967, 1967, 1967, 1967, 1971, 1971, 1971, 
      1971, 1971, 1971, 1971, 1971, 1971, 1971, 1975, 1975, 1978, 1979, 1979, 1979, 1979, 1979, 1983, 
      1983, 1988, 1988, 1994, 1995, 1995, 1995, 1995, 1995, 1996, 1996, 1997, 1997, 2001, 2002, 2002, 
      2002, 2002, 2002, 2002, 2002, 2002, 2002, 2002, 2011, 2015, 2015, 2015, 2015, 2015, 2021, 2023, 
      2023, 2024, 2024, 2030, 2032, 2034, 2034, 2035, 2035, 2035, 2035, 2035, 2035, 2035, 2036, 2036, 
      2039, 2039, 2040, 2040, 2040, 2040, 2040, 2040, 2040, 2040, 2040, 2041, 2043, 2043, 2043, 2050, 
      2051, 2051, 2052, 2052, 2054, 2054, 2066, 2066, 2071, 2071, 2077, 2077, 2077, 2077, 2077, 2078, 
      2079, 2079, 2079, 2079, 2079, 2084, 2084, 2085, 2085, 2089, 2090, 2090, 2092, 2094, 2094, 2094, 
      2094, 2094, 2094, 2094, 2097, 2102, 2103, 2103, 2103, 2103, 2103, 2107, 2108, 2108, 2109, 2109, 
      2111, 2120, 2120, 2120, 2121, 2121, 2127, 2127, 2128, 2129, 2129, 2129, 2129, 2129, 2130, 2131, 
      2131, 2131, 2131, 2131, 2131, 2131, 2131, 2131, 2133, 2134, 2136, 2137, 2137, 2141, 2141, 2145, 
      2145, 2149, 2149, 2149, 2149, 2149, 2149, 2149, 2149, 2149, 2150, 2150, 2150, 2150, 2150, 2150, 
      2150, 2154, 2154, 2154, 2154, 2154, 2156, 2156, 2164, 2164, 2164, 2164, 2164, 2165, 2165, 2166, 
      2166, 2169, 2169, 2169, 2169, 2169, 2169, 2169, 2169, 2169, 2169, 2177, 2177, 2177, 2177, 2177, 
      2178, 2178, 2182, 2182, 2185, 2185, 2188, 2188, 2188, 2188, 2188, 2188, 2188, 2188, 2188, 2188, 
      2190, 2190, 2190, 2190, 2190, 2195, 2195, 2196, 2196, 2196, 2196, 2196, 2206, 2206, 2207, 2207, 
      2207, 2208, 2208, 2209, 2209, 2211, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 
      2224, 2224, 2228, 2228, 2231, 2234, 2234, 2234, 2234, 2234, 2234, 2234, 2234, 2234, 2235, 2235, 
      2238, 2238, 2239, 2239, 2239, 2239, 2239, 2239, 2244, 2244, 2244, 2244, 2244, 2245, 2247, 2247, 
      2247, 2247, 2247, 2247, 2247, 2249, 2250, 2252, 2253, 2254, 2259, 2259, 2263, 2263, 2263, 2263, 
      2263, 2263, 2269, 2269, 2271, 2271, 2273, 2273, 2274, 2275, 2283, 2286, 2287, 2287, 2287, 2287, 
      2287, 2288, 2288, 2288, 2288, 2288, 2288, 2288, 2288, 2288, 2288, 2289, 2289, 2289, 2289, 2289, 
      2289, 2289, 2289, 2289, 2290, 2299, 2302, 2302, 2308, 2309, 2314, 2319, 2319, 2319, 2319, 2319, 
      2321, 2321, 2322, 2328, 2329, 2329, 2329, 2329, 2329, 2332, 2332, 2332, 2332, 2332, 2332, 2332, 
      2332, 2332, 2333, 2335, 2337, 2340, 2341, 2341, 2341, 2341, 2341, 2342, 2342, 2345, 2345, 2345, 
      2345, 2345, 2345, 2345, 2345, 2345, 2345, 2348, 2348, 2348, 2348, 2348, 2348, 2348, 2348, 2348, 
      2357, 2357, 2361, 2361, 2361, 2361, 2361, 2363, 2363, 2363, 2363, 2363, 2366, 2366, 2367, 2370, 
      2370, 2370, 2370, 2370, 2372, 2372, 2372, 2372, 2372, 2373, 2373, 2373, 2373, 2373, 2373, 2375, 
      2375, 2375, 2380, 2380, 2382, 2393, 2393, 2394, 2396, 2396, 2400, 2400, 2401, 2401, 2401, 2401, 
      2401, 2401, 2404, 2407, 2409, 2409, 2410, 2410, 2411, 2411, 2414, 2414, 2418, 2418, 2424, 2426, 
      2430, 2430, 2432, 2432, 2432, 2432, 2432, 2436, 2440, 2440, 2443, 2443, 2450, 2450, 2450, 2450, 
      2450, 2452, 2452, 2453, 2453, 2453, 2453, 2453, 2465, 2465, 2465, 2465, 2465, 2465, 2465, 2465, 
      2465, 2466, 2466, 2466, 2467, 2467, 2467, 2467, 2467, 2469, 2469, 2471, 2471, 2471, 2471, 2471, 
      2471, 2473, 2473, 2474, 2474, 2475, 2479, 2483, 2483, 2483, 2484, 2484, 2484, 2484, 2484, 2485, 
      2493, 2493, 2493, 2499, 2501, 2505, 2507, 2507, 2507, 2507, 2507, 2509, 2509, 2511, 2512, 2512, 
      2512, 2512, 2512, 2513, 2513, 2513, 2513, 2513, 2515, 2515, 2515, 2515, 2515, 2515, 2516, 2516, 
      2520, 2520, 2522, 2522, 2522, 2522, 2522, 2522, 2522, 2527, 2527, 2527, 2528, 2528, 2528, 2528, 
      2528, 2530, 2530, 2533, 2533, 2533, 2533, 2533, 2537, 2538, 2544, 2546, 2547, 2547, 2547, 2547, 
      2547, 2547, 2547, 2547, 2547, 2547, 2549, 2549, 2549, 2549, 2549, 2549, 2552, 2552, 2555, 2555, 
      2556, 2560, 2560, 2560, 2563, 2563, 2563, 2563, 2563, 2563, 2564, 2566, 2566, 2566, 2566, 2566, 
      2567, 2567, 2570, 2570, 2570, 2570, 2570, 2570, 2570, 2570, 2570, 2572, 2572, 2575, 2575, 2575, 
      2575, 2575, 2576, 2576, 2576, 2577, 2579, 2580, 2580, 2581, 2581, 2582, 2582, 2583, 2583, 2586, 
      2586, 2586, 2586, 2586, 2587, 2590, 2590, 2590, 2592, 2592, 2592, 2592, 2592, 2600, 2600, 2601, 
      2601, 2602, 2602, 2602, 2602, 2602, 2607, 2607, 2607, 2607, 2607, 2607, 2607, 2609, 2609, 2613, 
      2613, 2616, 2616, 2620, 2620, 2624, 2624, 2626, 2626, 2626, 2626, 2626, 2628, 2628, 2628, 2628, 
      2628, 2632, 2632, 2632, 2632, 2632, 2633, 2633, 2635, 2635, 2635, 2635, 2635, 2635, 2635, 2635, 
      2635, 2636, 2636, 2636, 2636, 2636, 2636, 2637, 2639, 2645, 2645, 2645, 2645, 2645, 2645, 2648, 
      2648, 2649, 2654, 2655, 2656, 2658, 2658, 2659, 2659, 2660, 2660, 2660, 2660, 2660, 2666, 2672, 
      2673, 2673, 2674, 2675, 2682, 2687, 2690, 2690, 2692, 2694, 2694, 2694, 2695, 2695, 2696, 2696, 
      2705, 2705, 2705, 2705, 2705, 2708, 2708, 2710, 2710, 2710, 2710, 2710, 2710, 2715, 2715, 2715, 
      2715, 2715, 2715, 2715, 2715, 2715, 2715, 2717, 2717, 2718, 2718, 2726, 2726, 2740, 2740, 2742, 
      2742, 2742, 2742, 2742, 2742, 2742, 2742, 2742, 2745, 2746, 2746, 2746, 2746, 2746, 2746, 2750, 
      2750, 2750, 2750, 2750, 2750, 2752, 2753, 2753, 2758, 2762, 2763, 2763, 2763, 2767, 2771, 2771, 
      2772, 2772, 2772, 2772, 2772, 2772, 2772, 2772, 2772, 2775, 2775, 2782, 2782, 2787, 2788, 2792, 
      2797, 2800, 2800, 2800, 2800, 2800, 2800, 2800, 2800, 2800, 2801, 2801, 2801, 2801, 2801, 2801, 
      2801, 2801, 2801, 2801, 2812, 2812, 2817, 2817, 2817, 2817, 2817, 2818, 2818, 2820, 2821, 2823, 
      2823, 2826, 2826, 2828, 2828, 2833, 2833, 2840, 2843, 2847, 2852, 2852, 2852, 2852, 2852, 2853, 
      2853, 2853, 2853, 2853, 2853, 2857, 2857, 2857, 2857, 2857, 2857, 2866, 2866, 2867, 2867, 2867, 
      2867, 2867, 2867, 2867, 2867, 2867, 2867, 2868, 2868, 2868, 2872, 2872, 2872, 2872, 2872, 2877, 
      2877, 2877, 2877, 2877, 2880, 2880, 2881, 2881, 2882, 2884, 2885, 2885, 2885, 2885, 2885, 2885, 
      2891, 2891, 2891, 2891, 2891, 2891, 2891, 2891, 2891, 2891, 2893, 2893, 2894, 2894, 2894, 2897, 
      2901, 2901, 2901, 2901, 2901, 2901, 2901, 2901, 2901, 2902, 2902, 2903, 2903, 2903, 2904, 2908, 
      2908, 2910, 2910, 2916, 2916, 2918, 2919, 2919, 2920, 2922, 2922, 2929, 2929, 2929, 2929, 2929, 
      2929, 2929, 2931, 2931, 2932, 2938, 2938, 2941, 2941, 2957, 2957, 2957, 2957, 2957, 2962, 2963, 
      2963, 2967, 2967, 2977, 2977, 2978, 2978, 2978, 2978, 2978, 2995, 2995, 2995, 2995, 2995, 3005, 
      3016, 3016, 3016, 3016, 3016, 3016, 3016, 3016, 3016, 3018, 3025, 3026, 3026, 3028, 3028, 3033, 
      3033, 3033, 3033, 3033, 3033, 3033, 3039, 3040, 3040, 3040, 3040, 3040, 3041, 3041, 3044, 3045, 
      3045, 3046, 3049, 3049, 3049, 3049, 3049, 3053, 3053, 3053, 3059, 3059, 3061, 3061, 3061, 3063, 
      3063, 3065, 3065, 3065, 3065, 3065, 3065, 3065, 3066, 3066, 3066, 3066, 3066, 3069, 3069, 3069, 
      3069, 3069, 3069, 3069, 3069, 3069, 3069, 3070, 3071, 3071, 3071, 3071, 3071, 3071, 3071, 3071, 
      3071, 3071, 3072, 3072, 3073, 3073, 3073, 3073, 3073, 3076, 3076, 3081, 3093, 3093, 3093, 3093, 
      3093, 3097, 3097, 3097, 3097, 3097, 3107, 3107, 3107, 3107, 3107, 3107, 3110, 3110, 3111, 3111, 
      3120, 3120, 3125, 3128, 3128, 3130, 3130, 3136, 3140, 3142, 3144, 3144, 3146, 3147, 3147, 3147, 
      3147, 3147, 3147, 3147, 3148, 3148, 3148, 3148, 3148, 3148, 3148, 3155, 3155, 3157, 3157, 3166, 
      3166, 3166, 3166, 3166, 3166, 3166, 3166, 3166, 3174, 3174, 3176, 3176, 3177, 3179, 3180, 3180, 
      3180, 3180, 3180, 3180, 3180, 3185, 3185, 3187, 3187, 3187, 3187, 3187, 3187, 3187, 3187, 3187, 
      3187, 3188, 3188, 3188, 3188, 3188, 3188, 3188, 3188, 3188, 3188, 3193, 3195, 3195, 3195, 3199, 
      3199, 3211, 3211, 3211, 3211, 3211, 3211, 3212, 3212, 3212, 3212, 3212, 3215, 3216, 3216, 3217, 
      3217, 3218, 3218, 3218, 3218, 3218, 3218, 3218, 3220, 3220, 3220, 3220, 3220, 3221, 3225, 3225, 
      3225, 3225, 3225, 3226, 3227, 3228, 3229, 3229, 3229, 3229, 3229, 3230, 3230, 3230, 3230, 3230, 
      3232, 3232, 3232, 3232, 3232, 3235, 3235, 3237, 3238, 3238, 3238, 3238, 3238 ] ]