[ [ 1, 2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 22, 24, 27, 29, 30, 31, 32, 33, 34, 35, 
      37, 39, 40, 41, 42, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 60, 61, 62, 63, 64, 
      65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 91, 
      92, 93, 94, 95, 96, 98, 99, 100, 101, 102, 103, 105, 106, 107, 109, 110, 111, 112, 113, 114, 116, 
      117, 118, 120, 121, 123, 124, 125, 127, 129, 130, 131, 133, 134, 135, 136, 137, 139, 140, 141, 
      142, 145, 146, 147, 150, 151, 152, 153, 154, 155, 156, 157, 158, 160, 161, 162, 163, 164, 168, 
      169, 170, 171, 172, 173, 175, 176, 178, 179, 180, 181, 182, 183, 185, 186, 188, 189, 190, 191, 
      192, 193, 196, 198, 200, 202, 205, 206, 207, 208, 210, 212, 213, 216, 217, 219, 220, 222, 223, 
      224, 225, 226, 227, 229, 231, 233, 234, 237, 240, 241, 242, 243, 244, 245, 247, 248, 249, 251, 
      252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 263, 264, 265, 266, 269, 270, 271, 272, 273, 
      274, 275, 276, 278, 280, 282, 283, 284, 285, 286, 287, 288, 289, 291, 292, 293, 294, 295, 296, 
      297, 298, 299, 300, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 314, 317, 319, 321, 
      322, 323, 324, 327, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 347, 348, 
      349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 367, 368, 369, 
      370, 371, 372, 373, 374, 375, 377, 378, 381, 382, 383, 384, 385, 387, 388, 389, 390, 391, 392, 
      393, 394, 395, 396, 398, 399, 400, 404, 406, 409, 413, 415, 416, 417, 419, 421, 422, 423, 425, 
      426, 427, 428, 429, 430, 432, 433, 435, 437, 438, 439, 440, 441, 442, 443, 444, 446, 447, 448, 
      449, 451, 452, 453, 454, 456, 459, 460, 461, 462, 463, 467, 468, 469, 471, 472, 473, 474, 476, 
      478, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 495, 496, 497, 499, 
      500, 501, 504, 505, 506, 507, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 521, 522, 
      523, 526, 527, 529, 530, 531, 532, 534, 535, 540, 541, 542, 544, 545, 549, 552, 553, 554, 555, 
      557, 558, 559, 560, 563, 564, 566, 567, 568, 569, 570, 571, 572, 573, 574, 576, 577, 579, 581, 
      583, 585, 586, 587, 588, 589, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 604, 
      607, 608, 612, 613, 614, 615, 616, 617, 618, 620, 621, 622, 625, 628, 629, 630, 631, 632, 634, 
      635, 636, 637, 640, 641, 643, 644, 646, 647, 648, 649, 650, 653, 654, 655, 656, 657, 658, 661, 
      662, 664, 667, 668, 669, 670, 671, 672, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 
      686, 687, 688, 690, 691, 693, 694, 695, 696, 699, 700, 701, 702, 703, 705, 707, 708, 709, 710, 
      712, 713, 714, 715, 716, 717, 718, 719, 724, 725, 726, 727, 728, 729, 731, 732, 733, 734, 735, 
      737, 738, 743, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 
      761, 762, 763, 766, 767, 769, 770, 771, 773, 775, 776, 777, 778, 781, 784, 785, 788, 790, 791, 
      793, 794, 795, 798, 799, 802, 803, 804, 805, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 
      818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 831, 833, 834, 835, 836, 837, 838, 
      839, 840, 841, 842, 843, 844, 845, 846, 849, 850, 851, 852, 854, 855, 860, 861, 863, 864, 865, 
      868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 883, 884, 885, 886, 888, 
      889, 892, 893, 894, 895, 896, 898, 899, 900, 902, 903, 904, 905, 908, 909, 910, 911, 912, 914, 
      916, 917, 918, 919, 921, 922, 923, 924, 926, 927, 928, 932, 934, 936, 938, 939, 940, 942, 945, 
      946, 947, 948, 950, 951, 952, 954, 955, 961, 962, 963, 964, 965, 967, 968, 970, 972, 974, 975, 
      976, 977, 978, 979, 980, 981, 982, 983, 984, 987, 988, 989, 990, 991, 992, 994, 995, 998, 999, 
      1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1016, 1017, 1018, 1019, 
      1021, 1022, 1023, 1024, 1025, 1029, 1030, 1032, 1033, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 
      1044, 1046, 1050, 1052, 1053, 1056, 1057, 1058, 1059, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 
      1068, 1069, 1070, 1075, 1076, 1077, 1078, 1079, 1081, 1083, 1085, 1086, 1087, 1089, 1090, 1091, 
      1092, 1094, 1095, 1096, 1097, 1098, 1099, 1101, 1102, 1103, 1105, 1107, 1108, 1110, 1111, 1112, 
      1113, 1114, 1115, 1116, 1117, 1118, 1119, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 
      1130, 1132, 1137, 1138, 1139, 1140, 1141, 1143, 1146, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 
      1156, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1166, 1167, 1168, 1170, 1172, 1173, 1175, 1176, 
      1177, 1178, 1180, 1182, 1183, 1184, 1185, 1186, 1187, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 
      1196, 1198, 1200, 1201, 1202, 1203, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1213, 1216, 1217, 
      1219, 1221, 1222, 1224, 1225, 1229, 1230, 1232, 1233, 1234, 1235, 1236, 1237, 1239, 1240, 1241, 
      1242, 1243, 1244, 1248, 1249, 1250, 1251, 1252, 1254, 1255, 1256, 1259, 1260, 1262, 1263, 1264, 
      1265, 1266, 1268, 1269, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1282, 1283, 1285, 1286, 
      1287, 1290, 1292, 1293, 1295, 1296, 1297, 1299, 1300, 1301, 1303, 1305, 1307, 1308, 1310, 1311, 
      1312, 1315, 1317, 1319, 1320, 1321, 1322, 1323, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 
      1333, 1334, 1336, 1337, 1338, 1339, 1340, 1343, 1344, 1345, 1346, 1348, 1349, 1352, 1353, 1356, 
      1357, 1359, 1361, 1362, 1363, 1364, 1366, 1367, 1368, 1369, 1370, 1372, 1373, 1374, 1375, 1377, 
      1378, 1381, 1382, 1383, 1385, 1386, 1387, 1389, 1390, 1392, 1396, 1397, 1398, 1400, 1401, 1402, 
      1403, 1404, 1405, 1407, 1408, 1409, 1410, 1412, 1413, 1415, 1416, 1417, 1418, 1419, 1420, 1423, 
      1425, 1426, 1428, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 
      1443, 1445, 1446, 1448, 1449, 1450, 1451, 1452, 1454, 1456, 1457, 1458, 1460, 1462, 1463, 1466, 
      1467, 1468, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1484, 
      1485, 1486, 1488, 1489, 1490, 1493, 1495, 1496, 1497, 1498, 1499, 1500, 1502, 1503, 1504, 1506, 
      1507, 1508, 1510, 1511, 1512, 1513, 1515, 1516, 1518, 1520, 1521, 1522, 1523, 1525, 1526, 1527, 
      1528, 1529, 1530, 1531, 1532, 1533, 1534, 1536, 1537, 1538, 1541, 1543, 1544, 1545, 1546, 1548, 
      1552, 1553, 1554, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1571, 
      1573, 1574, 1575, 1577, 1578, 1580, 1581, 1583, 1586, 1587, 1589, 1591, 1592, 1595, 1598, 1599, 
      1600, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1612, 1613, 1614, 1617, 1618, 1619, 
      1620, 1621, 1623, 1624, 1626, 1627, 1628, 1629, 1630, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 
      1640, 1641, 1642, 1643, 1644, 1645, 1646, 1648, 1649, 1650, 1651, 1653, 1654, 1655, 1656, 1657, 
      1658, 1659, 1660, 1661, 1663, 1665, 1666, 1668, 1670, 1671, 1673, 1674, 1676, 1677, 1678, 1680, 
      1681, 1682, 1684, 1686, 1687, 1688, 1689, 1690, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 
      1702, 1703, 1704, 1706, 1707, 1708, 1711, 1712, 1713, 1714, 1715, 1716, 1718, 1719, 1720, 1722, 
      1724, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1737, 1739, 1740, 1741, 1742, 
      1743, 1746, 1749, 1750, 1751, 1752, 1753, 1754, 1756, 1757, 1758, 1759, 1760, 1763, 1765, 1766, 
      1767, 1768, 1769, 1770, 1771, 1774, 1775, 1778, 1779, 1780, 1782, 1783, 1785, 1786, 1787, 1788, 
      1790, 1791, 1793, 1794, 1796, 1798, 1799, 1800, 1801, 1803, 1804, 1806, 1808, 1810, 1812, 1813, 
      1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1824, 1825, 1827, 1828, 1830, 1831, 1832, 1836, 
      1837, 1838, 1839, 1840, 1841, 1844, 1845, 1848, 1849, 1850, 1851, 1853, 1854, 1855, 1856, 1858, 
      1859, 1861, 1862, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1875, 1876, 1877, 1878, 
      1879, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 
      1897, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 
      1916, 1917, 1918, 1919, 1920, 1921, 1923, 1924, 1925, 1926, 1928, 1929, 1930, 1931, 1933, 1934, 
      1935, 1936, 1937, 1938, 1939, 1940, 1941, 1943, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 
      1953, 1954, 1955, 1957, 1959, 1961, 1963, 1964, 1965, 1968, 1969, 1970, 1971, 1973, 1975, 1976, 
      1978, 1979, 1980, 1981, 1982, 1983, 1985, 1986, 1987, 1990, 1992, 1993, 1994, 1995, 1996, 1997, 
      1998, 1999, 2000, 2003, 2004, 2005, 2006, 2007, 2008, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 
      2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2035, 2036, 
      2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2046, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 
      2057, 2058, 2060, 2061, 2062, 2064, 2065, 2066, 2067, 2071, 2073, 2074, 2076, 2077, 2078, 2079, 
      2080, 2082, 2083, 2084, 2086, 2087, 2088, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 
      2099, 2100, 2101, 2105, 2107, 2109, 2111, 2112, 2113, 2116, 2117, 2118, 2119, 2120, 2121, 2123, 
      2124, 2125, 2126, 2127, 2128, 2131, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 
      2143, 2145, 2146, 2148, 2149, 2151, 2152, 2154, 2156, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 
      2168, 2169, 2170, 2171, 2172, 2173, 2174, 2178, 2181, 2183, 2184, 2185, 2186, 2187, 2190, 2193, 
      2194, 2198, 2199, 2200, 2203, 2204, 2205, 2206, 2207, 2209, 2210, 2212, 2213, 2214, 2215, 2216, 
      2217, 2218, 2220, 2221, 2222, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 
      2236, 2237, 2238, 2239, 2240, 2241, 2243, 2244, 2245, 2248, 2249, 2250, 2253, 2254, 2257, 2258, 
      2259, 2260, 2262, 2264, 2265, 2266, 2267, 2268, 2270, 2271, 2272, 2273, 2274, 2275, 2278, 2280, 
      2281, 2283, 2284, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2298, 2300, 
      2303, 2304, 2305, 2307, 2308, 2309, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2321, 
      2323, 2324, 2325, 2326, 2329, 2330, 2331, 2333, 2334, 2336, 2339, 2340, 2341, 2342, 2343, 2344, 
      2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 
      2361, 2362, 2363, 2364, 2365, 2367, 2368, 2369, 2372, 2374, 2377, 2378, 2379, 2380, 2381, 2382, 
      2384, 2385, 2386, 2387, 2388, 2390, 2391, 2392, 2393, 2394, 2396, 2397, 2398, 2399, 2400, 2401, 
      2402, 2404, 2405, 2407, 2409, 2410, 2413, 2414, 2416, 2417, 2418, 2419, 2421, 2422, 2423, 2425, 
      2426, 2427, 2428, 2429, 2430, 2431, 2433, 2436, 2437, 2438, 2439, 2440, 2442, 2443, 2445, 2448, 
      2449, 2450, 2451, 2452, 2457, 2458, 2459, 2461, 2462, 2463, 2464, 2465, 2467, 2468, 2469, 2471, 
      2472, 2473, 2474, 2475, 2476, 2477, 2479, 2480, 2481, 2482, 2483, 2485, 2486, 2487, 2488, 2489, 
      2490, 2491, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 
      2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2516, 2517, 2518, 2519, 2520, 2522, 2523, 2525, 
      2527, 2528, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2539, 2541, 2543, 2544, 2545, 2547, 2548, 
      2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2558, 2559, 2561, 2562, 2563, 2564, 2566, 2569, 
      2571, 2572, 2573, 2575, 2576, 2577, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2587, 2588, 2591, 
      2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2607, 2608, 
      2610, 2612, 2613, 2617, 2618, 2619, 2620, 2625, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 
      2635, 2636, 2637, 2638, 2639, 2642, 2643, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 
      2655, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 
      2674, 2675, 2676, 2679, 2680, 2681, 2683, 2684, 2685, 2686, 2687, 2688, 2692, 2693, 2694, 2695, 
      2696, 2697, 2699, 2700, 2703, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2714, 2715, 2716, 
      2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2731, 2732, 2734, 2735, 2737, 
      2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2750, 2752, 2754, 2756, 2757, 
      2758, 2759, 2760, 2761, 2764, 2767, 2768, 2769, 2770, 2771, 2773, 2775, 2776, 2779, 2780, 2781, 
      2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2793, 2794, 2796, 2797, 2798, 2800, 2801, 2802, 
      2805, 2806, 2807, 2809, 2810, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2821, 2824, 2825, 
      2828, 2829, 2833, 2834, 2835, 2836, 2837, 2838, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 
      2851, 2852, 2853, 2857, 2858, 2859, 2861, 2862, 2863, 2865, 2868, 2870, 2871, 2872, 2873, 2874, 
      2876, 2877, 2878, 2881, 2882, 2883, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2894, 2895, 
      2897, 2898, 2899, 2901, 2902, 2903, 2904, 2907, 2910, 2911, 2913, 2914, 2915, 2916, 2917, 2918, 
      2922, 2923, 2925, 2926, 2928, 2931, 2932, 2934, 2936, 2937, 2938, 2939, 2940, 2942, 2944, 2945, 
      2946, 2948, 2949, 2950, 2951, 2952, 2955, 2956, 2958, 2959, 2960, 2961, 2962, 2963, 2967, 2968, 
      2969, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 
      2989, 2994, 2996, 2997, 2998, 3002, 3003, 3005, 3006, 3007, 3009, 3010, 3011, 3014, 3015, 3016, 
      3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3032, 3034, 
      3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3047, 3048, 3049, 3050, 3051, 3052, 
      3053, 3054, 3055, 3057, 3058, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 
      3072, 3073, 3074, 3075, 3076, 3077, 3078, 3080, 3081, 3082, 3083, 3085, 3086, 3087, 3089, 3090, 
      3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3100, 3101, 3102, 3105, 3106, 3107, 3108, 3109, 
      3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3120, 3122, 3123, 3124, 3125, 3126, 3127, 
      3128, 3129, 3132, 3135, 3136, 3137, 3138, 3139, 3140, 3142, 3144, 3146, 3148, 3149, 3150, 3151, 
      3152, 3153, 3154, 3155, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3167, 3168, 3170, 
      3171, 3172, 3173, 3174, 3175, 3177, 3180, 3182, 3183, 3184, 3186, 3187, 3188, 3189, 3190, 3191, 
      3192, 3193, 3194, 3195, 3196, 3198, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3210, 
      3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 
      3227, 3228, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3238, 3239, 3240, 3241, 3242, 3243, 3245, 
      3247, 3248, 3249, 3250, 3252, 3253, 3254, 3255, 3257, 3259, 3260, 3261, 3262, 3264, 3265, 3266, 
      3267, 3269, 3270, 3271, 3272, 3274, 3275, 3276, 3277, 3278, 3279, 3281, 3282, 3283, 3284, 3286, 
      3287, 3289, 3290, 3291, 3292, 3293, 3296, 3297, 3299, 3300, 3301, 3303, 3305, 3308, 3309, 3310, 
      3311, 3312, 3313, 3314, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3328, 
      3329, 3330, 3331, 3332, 3333, 3334, 3336, 3337, 3338, 3339, 3343, 3344, 3345, 3346, 3347, 3348, 
      3349, 3350, 3352, 3353, 3354, 3355, 3356, 3357, 3359, 3360, 3362, 3364, 3365, 3369, 3371, 3372, 
      3373, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3383, 3384, 3385, 3386, 3389, 3390, 3391, 3392, 
      3393, 3394, 3395, 3396, 3397, 3398, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3408, 3409, 3410, 
      3411, 3412, 3413, 3414, 3415, 3416, 3418, 3419, 3420, 3421, 3424, 3425, 3426, 3427, 3429, 3430, 
      3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3445, 3446, 3447, 3448, 
      3449, 3450, 3451, 3452, 3454, 3455, 3456, 3457, 3460, 3461, 3462, 3464, 3465, 3469, 3470, 3471, 
      3474, 3476, 3477, 3478, 3480, 3482, 3483, 3486, 3489, 3490, 3491, 3492, 3494, 3496, 3497, 3498, 
      3499, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3513, 3514, 3515, 3517, 3518, 3519, 3520, 
      3521, 3522, 3523, 3525, 3527, 3529, 3530, 3531, 3532, 3533, 3536, 3537, 3539, 3540, 3541, 3542, 
      3543, 3544, 3545, 3546, 3547, 3550, 3552, 3553, 3554, 3555, 3557, 3558, 3559, 3561, 3562, 3563, 
      3565, 3566, 3567, 3571, 3572, 3573, 3574, 3576, 3577, 3580, 3582, 3583, 3585, 3586, 3587, 3589, 
      3591, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3602, 3603, 3604, 3605, 3607, 3608, 3609, 
      3611, 3612, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3623, 3625, 3626, 3627, 3628, 3629, 
      3630, 3632, 3633, 3634, 3635, 3636, 3637, 3640, 3641, 3642, 3643, 3644, 3646, 3648, 3651, 3652, 
      3653, 3654, 3655, 3656, 3657, 3658, 3659, 3661, 3662, 3663, 3665, 3666, 3667, 3669, 3672, 3675, 
      3676, 3677, 3678, 3681, 3683, 3684, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 
      3696, 3697, 3699, 3700, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 
      3715, 3717, 3718, 3719, 3720, 3722, 3724, 3725, 3726, 3727, 3729, 3730, 3731, 3732, 3735, 3736, 
      3737, 3738, 3739, 3740, 3742, 3743, 3744, 3746, 3747, 3748, 3750, 3752, 3753, 3754, 3755, 3756, 
      3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3769, 3770, 3773, 3774, 3776, 
      3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3787, 3788, 3790, 3791, 3792, 3793, 3795, 
      3796, 3797, 3799, 3800, 3801, 3804, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3816, 3818, 
      3819, 3820, 3821, 3822, 3823, 3825, 3826, 3827, 3828, 3830, 3831, 3832, 3833, 3835, 3837, 3838, 
      3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3849, 3850, 3851, 3853, 3854, 3855, 3856, 3857, 
      3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3868, 3869, 3870, 3872, 3873, 3874, 3876, 3877, 
      3878, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887, 3888, 3889, 3891, 3892, 3894, 3895, 3897, 
      3898, 3899, 3900, 3901, 3902, 3903, 3904, 3907, 3908, 3910, 3912, 3913, 3914, 3915, 3917, 3918, 
      3920, 3923, 3925, 3926, 3928, 3929, 3930, 3931, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 
      3942, 3943, 3945, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3956, 3957, 3958, 3959, 3961, 
      3962, 3963, 3964, 3965, 3966, 3969, 3970, 3972, 3974, 3975, 3977, 3978, 3979, 3980, 3981, 3982, 
      3983, 3984, 3985, 3986, 3987, 3988, 3990, 3991, 3992, 3993, 3994, 3995, 3997, 3998, 3999, 4000, 
      4001, 4003, 4004, 4005, 4006, 4007, 4010, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4022, 
      4023, 4025, 4026, 4027, 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4038, 4039, 4040, 4042, 
      4043, 4044, 4045, 4046, 4047, 4048, 4050, 4051, 4052, 4053, 4054, 4055, 4057, 4058, 4059, 4060, 
      4061, 4063, 4065, 4067, 4069, 4070, 4071, 4073, 4074, 4075, 4076, 4078, 4079, 4080, 4081, 4082, 
      4083, 4085, 4086, 4088, 4089, 4090, 4092, 4093, 4094, 4095, 4097, 4098, 4100, 4101, 4102, 4104, 
      4105, 4106, 4107, 4108 ], [ 1, 21, 36, 42, 42, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 
      50, 50, 52, 52, 65, 66, 66, 73, 73, 75, 75, 75, 75, 75, 75, 75, 75, 81, 81, 81, 81, 81, 81, 81, 
      81, 81, 81, 81, 81, 88, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 
      92, 92, 92, 97, 97, 101, 101, 106, 106, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 
      110, 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 116, 116, 116, 116, 116, 116, 
      116, 116, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
      117, 117, 117, 117, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
      126, 126, 126, 126, 126, 126, 134, 134, 135, 138, 138, 140, 140, 148, 148, 148, 148, 148, 148, 
      148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 158, 158, 158, 158, 
      158, 158, 158, 158, 160, 160, 163, 163, 163, 163, 163, 163, 163, 163, 166, 166, 171, 172, 172, 
      172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 
      175, 186, 186, 186, 186, 186, 186, 186, 186, 186, 186, 186, 186, 186, 186, 186, 186, 186, 186, 
      186, 186, 186, 188, 188, 188, 188, 188, 188, 188, 188, 188, 188, 188, 197, 197, 197, 197, 197, 
      197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 217, 217, 217, 
      217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 224, 
      226, 226, 230, 230, 230, 230, 230, 230, 230, 230, 237, 237, 238, 238, 238, 238, 238, 238, 238, 
      238, 240, 240, 248, 248, 251, 256, 261, 261, 261, 261, 261, 261, 261, 261, 294, 294, 294, 294, 
      294, 294, 294, 294, 294, 294, 294, 294, 296, 296, 296, 296, 296, 296, 296, 296, 296, 296, 296, 
      296, 299, 308, 308, 310, 310, 310, 310, 310, 310, 310, 310, 310, 310, 310, 310, 310, 310, 310, 
      310, 310, 310, 310, 310, 310, 314, 314, 320, 320, 334, 337, 337, 339, 343, 344, 346, 354, 354, 
      354, 354, 354, 354, 354, 354, 354, 354, 354, 359, 370, 370, 370, 370, 370, 370, 370, 370, 370, 
      370, 370, 370, 370, 370, 370, 370, 370, 370, 370, 370, 370, 389, 389, 390, 398, 403, 403, 404, 
      405, 405, 405, 405, 405, 405, 405, 405, 405, 405, 405, 405, 405, 405, 405, 405, 405, 405, 405, 
      405, 405, 406, 406, 406, 406, 406, 406, 406, 406, 418, 418, 418, 418, 418, 418, 418, 418, 418, 
      418, 418, 419, 419, 419, 419, 419, 419, 419, 419, 419, 419, 419, 422, 422, 425, 425, 425, 425, 
      425, 425, 425, 425, 425, 425, 425, 425, 426, 426, 426, 426, 426, 426, 426, 426, 426, 426, 426, 
      426, 426, 426, 426, 426, 426, 426, 426, 426, 426, 430, 430, 432, 432, 436, 436, 436, 436, 436, 
      436, 436, 436, 436, 436, 436, 436, 436, 436, 436, 436, 436, 436, 436, 436, 436, 439, 439, 456, 
      456, 456, 456, 456, 456, 456, 456, 456, 456, 456, 470, 470, 470, 470, 470, 470, 470, 470, 472, 
      476, 476, 476, 476, 476, 476, 476, 476, 478, 478, 478, 478, 478, 478, 478, 478, 478, 478, 478, 
      478, 478, 478, 478, 478, 478, 478, 478, 478, 478, 482, 482, 482, 482, 482, 482, 482, 482, 482, 
      482, 482, 482, 482, 482, 482, 482, 482, 482, 482, 482, 482, 484, 502, 505, 505, 506, 506, 506, 
      506, 506, 506, 506, 506, 506, 506, 506, 507, 507, 513, 513, 535, 535, 535, 535, 535, 535, 535, 
      535, 535, 535, 535, 535, 535, 535, 535, 535, 535, 535, 535, 535, 535, 537, 537, 543, 543, 543, 
      543, 543, 543, 543, 543, 543, 543, 543, 551, 551, 551, 551, 551, 551, 551, 551, 551, 551, 551, 
      551, 551, 551, 551, 551, 551, 551, 551, 551, 551, 560, 565, 565, 565, 565, 565, 565, 565, 565, 
      565, 565, 565, 565, 587, 590, 590, 590, 590, 590, 590, 590, 590, 590, 590, 590, 590, 590, 590, 
      590, 590, 590, 590, 590, 590, 590, 592, 604, 604, 605, 606, 606, 610, 636, 636, 636, 636, 636, 
      636, 636, 636, 636, 636, 636, 638, 638, 640, 640, 640, 640, 640, 640, 640, 640, 642, 642, 642, 
      642, 642, 642, 642, 642, 642, 642, 642, 650, 653, 653, 654, 654, 654, 654, 654, 654, 654, 654, 
      654, 654, 654, 654, 654, 654, 654, 654, 654, 654, 654, 654, 654, 674, 674, 681, 681, 681, 681, 
      681, 681, 681, 681, 690, 690, 690, 690, 690, 690, 690, 690, 690, 690, 690, 690, 690, 690, 690, 
      690, 690, 690, 690, 690, 690, 710, 710, 710, 710, 710, 710, 710, 710, 710, 710, 710, 710, 710, 
      710, 710, 710, 710, 710, 710, 710, 710, 715, 715, 735, 735, 735, 735, 735, 735, 735, 735, 735, 
      735, 735, 735, 735, 735, 735, 735, 735, 735, 735, 735, 735, 744, 753, 753, 753, 753, 753, 753, 
      753, 753, 753, 753, 753, 753, 770, 773, 786, 787, 791, 791, 792, 792, 793, 795, 795, 795, 795, 
      795, 795, 795, 795, 799, 799, 817, 817, 817, 817, 817, 817, 817, 817, 822, 822, 823, 823, 823, 
      823, 823, 823, 823, 823, 823, 823, 823, 827, 827, 827, 827, 827, 827, 827, 827, 827, 827, 827, 
      827, 830, 830, 832, 833, 833, 842, 842, 842, 842, 842, 842, 842, 842, 842, 842, 842, 842, 842, 
      842, 842, 842, 842, 842, 842, 842, 842, 852, 852, 852, 852, 852, 852, 852, 852, 877, 878, 878, 
      878, 878, 878, 878, 878, 878, 878, 878, 878, 890, 899, 899, 914, 914, 922, 922, 926, 926, 927, 
      927, 927, 927, 927, 927, 927, 927, 927, 927, 927, 928, 928, 928, 928, 928, 928, 928, 928, 928, 
      928, 928, 928, 928, 928, 928, 928, 928, 928, 928, 928, 928, 930, 930, 930, 930, 930, 930, 930, 
      930, 930, 930, 930, 938, 938, 942, 942, 980, 980, 980, 980, 980, 980, 980, 980, 980, 980, 980, 
      980, 980, 980, 980, 980, 980, 980, 980, 980, 980, 991, 991, 991, 991, 991, 991, 991, 991, 991, 
      991, 991, 991, 991, 991, 991, 991, 991, 991, 991, 991, 991, 997, 997, 1018, 1018, 1018, 1018, 
      1018, 1018, 1018, 1018, 1025, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 
      1027, 1036, 1036, 1036, 1036, 1036, 1036, 1036, 1036, 1036, 1036, 1036, 1036, 1041, 1041, 1041, 
      1041, 1041, 1041, 1041, 1041, 1041, 1041, 1041, 1041, 1041, 1041, 1041, 1041, 1041, 1041, 1041, 
      1041, 1041, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 
      1043, 1043, 1043, 1043, 1043, 1043, 1043, 1049, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 
      1052, 1052, 1052, 1059, 1069, 1069, 1077, 1077, 1077, 1077, 1077, 1077, 1077, 1077, 1077, 1077, 
      1077, 1087, 1095, 1095, 1095, 1095, 1095, 1095, 1095, 1095, 1095, 1095, 1095, 1105, 1105, 1105, 
      1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1107, 1107, 1107, 1107, 1107, 1107, 1107, 
      1107, 1110, 1110, 1110, 1110, 1110, 1110, 1110, 1110, 1110, 1110, 1110, 1110, 1110, 1110, 1110, 
      1110, 1110, 1110, 1110, 1110, 1110, 1126, 1126, 1127, 1127, 1128, 1128, 1128, 1128, 1128, 1128, 
      1128, 1128, 1128, 1128, 1128, 1128, 1128, 1128, 1128, 1128, 1128, 1128, 1128, 1128, 1128, 1130, 
      1130, 1135, 1135, 1135, 1135, 1135, 1135, 1135, 1135, 1135, 1135, 1135, 1140, 1140, 1140, 1140, 
      1140, 1140, 1140, 1140, 1140, 1140, 1140, 1147, 1147, 1147, 1147, 1147, 1147, 1147, 1147, 1147, 
      1147, 1147, 1147, 1147, 1147, 1147, 1147, 1147, 1147, 1147, 1147, 1147, 1148, 1148, 1149, 1149, 
      1149, 1149, 1149, 1149, 1149, 1149, 1149, 1149, 1149, 1149, 1156, 1156, 1156, 1156, 1156, 1156, 
      1156, 1156, 1156, 1156, 1156, 1156, 1156, 1156, 1156, 1156, 1156, 1156, 1156, 1156, 1156, 1157, 
      1157, 1162, 1162, 1162, 1162, 1162, 1162, 1162, 1162, 1162, 1162, 1162, 1169, 1169, 1169, 1169, 
      1169, 1169, 1169, 1169, 1169, 1169, 1169, 1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171, 1179, 
      1193, 1195, 1195, 1195, 1195, 1195, 1195, 1195, 1195, 1195, 1195, 1195, 1213, 1213, 1213, 1213, 
      1213, 1213, 1213, 1213, 1213, 1213, 1213, 1213, 1213, 1213, 1213, 1213, 1213, 1213, 1213, 1213, 
      1213, 1222, 1222, 1247, 1247, 1247, 1247, 1247, 1247, 1247, 1247, 1256, 1256, 1256, 1256, 1256, 
      1256, 1256, 1256, 1256, 1256, 1256, 1256, 1256, 1256, 1256, 1256, 1256, 1256, 1256, 1256, 1256, 
      1273, 1273, 1273, 1273, 1273, 1273, 1273, 1273, 1279, 1279, 1281, 1291, 1291, 1291, 1291, 1291, 
      1291, 1291, 1291, 1291, 1291, 1291, 1291, 1293, 1293, 1295, 1295, 1300, 1300, 1300, 1300, 1300, 
      1300, 1300, 1300, 1300, 1300, 1300, 1300, 1303, 1303, 1320, 1320, 1334, 1334, 1338, 1338, 1338, 
      1338, 1338, 1338, 1338, 1338, 1338, 1338, 1338, 1338, 1341, 1341, 1348, 1348, 1348, 1348, 1348, 
      1348, 1348, 1348, 1348, 1348, 1348, 1351, 1352, 1352, 1356, 1356, 1372, 1372, 1372, 1372, 1372, 
      1372, 1372, 1372, 1372, 1372, 1372, 1372, 1372, 1372, 1372, 1372, 1372, 1372, 1372, 1372, 1372, 
      1373, 1373, 1396, 1396, 1396, 1396, 1396, 1396, 1396, 1396, 1417, 1417, 1420, 1420, 1420, 1420, 
      1420, 1420, 1420, 1420, 1421, 1421, 1429, 1439, 1439, 1439, 1439, 1439, 1439, 1439, 1439, 1439, 
      1439, 1439, 1452, 1452, 1455, 1456, 1456, 1465, 1465, 1465, 1465, 1465, 1465, 1465, 1465, 1465, 
      1465, 1465, 1465, 1470, 1490, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1514, 1514, 1521, 
      1527, 1528, 1528, 1533, 1533, 1534, 1542, 1545, 1545, 1545, 1545, 1545, 1545, 1545, 1545, 1545, 
      1545, 1545, 1545, 1545, 1545, 1545, 1545, 1545, 1545, 1545, 1545, 1545, 1555, 1555, 1555, 1555, 
      1555, 1555, 1555, 1555, 1555, 1555, 1555, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 
      1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1562, 1563, 1563, 1563, 
      1563, 1563, 1563, 1563, 1563, 1563, 1563, 1563, 1564, 1565, 1565, 1566, 1566, 1566, 1566, 1566, 
      1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 
      1568, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1576, 1576, 1576, 1576, 
      1576, 1576, 1576, 1576, 1576, 1576, 1576, 1576, 1577, 1577, 1587, 1587, 1587, 1587, 1587, 1587, 
      1587, 1587, 1587, 1587, 1587, 1587, 1587, 1587, 1587, 1587, 1587, 1587, 1587, 1587, 1587, 1591, 
      1591, 1591, 1591, 1591, 1591, 1591, 1591, 1621, 1621, 1621, 1621, 1621, 1621, 1621, 1621, 1621, 
      1621, 1621, 1621, 1621, 1621, 1621, 1621, 1621, 1621, 1621, 1621, 1621, 1627, 1627, 1637, 1637, 
      1637, 1637, 1637, 1637, 1637, 1637, 1637, 1637, 1637, 1654, 1654, 1659, 1660, 1660, 1668, 1668, 
      1669, 1669, 1669, 1669, 1669, 1669, 1669, 1669, 1669, 1669, 1669, 1669, 1669, 1669, 1669, 1669, 
      1669, 1669, 1669, 1669, 1669, 1672, 1672, 1673, 1673, 1678, 1678, 1682, 1682, 1682, 1682, 1682, 
      1682, 1682, 1682, 1689, 1689, 1689, 1689, 1689, 1689, 1689, 1689, 1691, 1691, 1691, 1691, 1691, 
      1691, 1691, 1691, 1699, 1699, 1699, 1699, 1699, 1699, 1699, 1699, 1699, 1699, 1699, 1699, 1710, 
      1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 
      1710, 1710, 1710, 1710, 1714, 1733, 1733, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 
      1741, 1741, 1743, 1743, 1751, 1751, 1751, 1751, 1751, 1751, 1751, 1751, 1751, 1751, 1751, 1751, 
      1756, 1756, 1758, 1758, 1758, 1758, 1758, 1758, 1758, 1758, 1758, 1758, 1758, 1758, 1761, 1761, 
      1766, 1771, 1771, 1771, 1771, 1771, 1771, 1771, 1771, 1786, 1786, 1786, 1786, 1786, 1786, 1786, 
      1786, 1786, 1786, 1786, 1787, 1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793, 
      1793, 1798, 1798, 1808, 1816, 1816, 1816, 1816, 1816, 1816, 1816, 1816, 1828, 1828, 1832, 1841, 
      1841, 1843, 1846, 1846, 1846, 1846, 1846, 1846, 1846, 1846, 1846, 1846, 1846, 1846, 1849, 1849, 
      1853, 1853, 1853, 1853, 1853, 1853, 1853, 1853, 1853, 1853, 1853, 1856, 1856, 1856, 1856, 1856, 
      1856, 1856, 1856, 1856, 1856, 1856, 1856, 1856, 1856, 1856, 1856, 1856, 1856, 1856, 1856, 1856, 
      1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1886, 1886, 1895, 1895, 1895, 1895, 1895, 1895, 
      1895, 1895, 1895, 1895, 1895, 1895, 1895, 1895, 1895, 1895, 1895, 1895, 1895, 1895, 1895, 1902, 
      1902, 1902, 1902, 1902, 1902, 1902, 1902, 1917, 1917, 1923, 1923, 1929, 1929, 1929, 1929, 1929, 
      1929, 1929, 1929, 1929, 1929, 1929, 1933, 1933, 1933, 1933, 1933, 1933, 1933, 1933, 1939, 1939, 
      1944, 1944, 1959, 1959, 1959, 1959, 1959, 1959, 1959, 1959, 1959, 1959, 1959, 1959, 1959, 1959, 
      1959, 1959, 1959, 1959, 1959, 1959, 1959, 1973, 1973, 1973, 1973, 1973, 1973, 1973, 1973, 1973, 
      1973, 1973, 1974, 1974, 1976, 1983, 1983, 1983, 1983, 1983, 1983, 1983, 1983, 1983, 1983, 1983, 
      1983, 1984, 1984, 2003, 2014, 2021, 2021, 2021, 2021, 2021, 2021, 2021, 2021, 2021, 2021, 2021, 
      2021, 2032, 2032, 2040, 2040, 2046, 2046, 2063, 2064, 2064, 2064, 2064, 2064, 2064, 2064, 2064, 
      2064, 2064, 2064, 2064, 2064, 2064, 2064, 2064, 2064, 2064, 2064, 2064, 2064, 2077, 2077, 2077, 
      2077, 2077, 2077, 2077, 2077, 2077, 2077, 2077, 2077, 2077, 2077, 2077, 2077, 2077, 2077, 2077, 
      2077, 2077, 2080, 2080, 2089, 2089, 2089, 2089, 2089, 2089, 2089, 2089, 2089, 2089, 2089, 2090, 
      2090, 2090, 2090, 2090, 2090, 2090, 2090, 2090, 2090, 2090, 2090, 2090, 2090, 2090, 2090, 2090, 
      2090, 2090, 2090, 2090, 2100, 2100, 2100, 2100, 2100, 2100, 2100, 2100, 2100, 2100, 2100, 2106, 
      2106, 2106, 2106, 2106, 2106, 2106, 2106, 2106, 2106, 2106, 2106, 2106, 2106, 2106, 2106, 2106, 
      2106, 2106, 2106, 2106, 2109, 2109, 2109, 2109, 2109, 2109, 2109, 2109, 2109, 2109, 2109, 2109, 
      2109, 2109, 2109, 2109, 2109, 2109, 2109, 2109, 2109, 2111, 2111, 2118, 2118, 2118, 2118, 2118, 
      2118, 2118, 2118, 2118, 2118, 2118, 2118, 2118, 2118, 2118, 2118, 2118, 2118, 2118, 2118, 2118, 
      2129, 2130, 2130, 2130, 2130, 2130, 2130, 2130, 2130, 2139, 2140, 2140, 2140, 2140, 2140, 2140, 
      2140, 2140, 2140, 2140, 2140, 2158, 2158, 2173, 2173, 2177, 2177, 2177, 2177, 2177, 2177, 2177, 
      2177, 2177, 2177, 2177, 2179, 2198, 2198, 2198, 2198, 2198, 2198, 2198, 2198, 2198, 2198, 2198, 
      2198, 2216, 2216, 2216, 2216, 2216, 2216, 2216, 2216, 2216, 2216, 2216, 2216, 2216, 2216, 2216, 
      2216, 2216, 2216, 2216, 2216, 2216, 2219, 2219, 2219, 2219, 2219, 2219, 2219, 2219, 2233, 2233, 
      2233, 2233, 2233, 2233, 2233, 2233, 2233, 2233, 2233, 2238, 2240, 2240, 2240, 2240, 2240, 2240, 
      2240, 2240, 2240, 2240, 2240, 2240, 2240, 2240, 2240, 2240, 2240, 2240, 2240, 2240, 2240, 2247, 
      2247, 2250, 2250, 2250, 2250, 2250, 2250, 2250, 2250, 2250, 2250, 2250, 2253, 2253, 2261, 2261, 
      2261, 2261, 2261, 2261, 2261, 2261, 2263, 2263, 2265, 2268, 2268, 2268, 2268, 2268, 2268, 2268, 
      2268, 2268, 2268, 2268, 2273, 2273, 2273, 2273, 2273, 2273, 2273, 2273, 2273, 2273, 2273, 2273, 
      2273, 2273, 2273, 2273, 2273, 2273, 2273, 2273, 2273, 2281, 2281, 2301, 2301, 2302, 2302, 2310, 
      2333, 2333, 2338, 2338, 2338, 2338, 2338, 2338, 2338, 2338, 2352, 2352, 2352, 2352, 2352, 2352, 
      2352, 2352, 2352, 2352, 2352, 2361, 2361, 2367, 2367, 2367, 2367, 2367, 2367, 2367, 2367, 2371, 
      2371, 2371, 2371, 2371, 2371, 2371, 2371, 2373, 2374, 2374, 2376, 2376, 2376, 2376, 2376, 2376, 
      2376, 2376, 2376, 2376, 2376, 2379, 2379, 2381, 2381, 2382, 2382, 2382, 2382, 2382, 2382, 2382, 
      2382, 2382, 2382, 2382, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 
      2383, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 2384, 2390, 2399, 2399, 2405, 2408, 2408, 
      2409, 2409, 2409, 2409, 2409, 2409, 2409, 2409, 2409, 2409, 2409, 2409, 2414, 2414, 2419, 2419, 
      2419, 2419, 2419, 2419, 2419, 2419, 2419, 2419, 2419, 2424, 2426, 2426, 2426, 2426, 2426, 2426, 
      2426, 2426, 2430, 2430, 2439, 2440, 2440, 2440, 2440, 2440, 2440, 2440, 2440, 2443, 2443, 2443, 
      2443, 2443, 2443, 2443, 2443, 2443, 2443, 2443, 2443, 2443, 2443, 2443, 2443, 2443, 2443, 2443, 
      2443, 2443, 2448, 2448, 2454, 2454, 2454, 2454, 2454, 2454, 2454, 2454, 2455, 2455, 2455, 2455, 
      2455, 2455, 2455, 2455, 2455, 2455, 2455, 2457, 2457, 2457, 2457, 2457, 2457, 2457, 2457, 2468, 
      2468, 2468, 2468, 2468, 2468, 2468, 2468, 2468, 2468, 2468, 2468, 2468, 2468, 2468, 2468, 2468, 
      2468, 2468, 2468, 2468, 2483, 2483, 2493, 2493, 2493, 2493, 2493, 2493, 2493, 2493, 2494, 2503, 
      2503, 2512, 2517, 2517, 2517, 2517, 2517, 2517, 2517, 2517, 2517, 2517, 2517, 2517, 2517, 2517, 
      2517, 2517, 2517, 2517, 2517, 2517, 2517, 2525, 2525, 2530, 2530, 2538, 2556, 2556, 2556, 2556, 
      2556, 2556, 2556, 2556, 2557, 2557, 2557, 2557, 2557, 2557, 2557, 2557, 2568, 2569, 2569, 2569, 
      2569, 2569, 2569, 2569, 2569, 2570, 2570, 2582, 2582, 2588, 2589, 2589, 2589, 2589, 2589, 2589, 
      2589, 2589, 2604, 2604, 2604, 2604, 2604, 2604, 2604, 2604, 2604, 2604, 2604, 2604, 2604, 2604, 
      2604, 2604, 2604, 2604, 2604, 2604, 2604, 2605, 2605, 2605, 2605, 2605, 2605, 2605, 2605, 2605, 
      2605, 2605, 2605, 2605, 2605, 2605, 2605, 2605, 2605, 2605, 2605, 2605, 2610, 2610, 2610, 2610, 
      2610, 2610, 2610, 2610, 2611, 2611, 2611, 2611, 2611, 2611, 2611, 2611, 2611, 2611, 2611, 2626, 
      2626, 2628, 2638, 2638, 2642, 2642, 2647, 2647, 2647, 2647, 2647, 2647, 2647, 2647, 2651, 2659, 
      2659, 2667, 2667, 2667, 2667, 2667, 2667, 2667, 2667, 2667, 2667, 2667, 2667, 2667, 2667, 2667, 
      2667, 2667, 2667, 2667, 2667, 2667, 2669, 2677, 2677, 2677, 2677, 2677, 2677, 2677, 2677, 2694, 
      2694, 2694, 2694, 2694, 2694, 2694, 2694, 2694, 2694, 2694, 2694, 2709, 2716, 2716, 2716, 2716, 
      2716, 2716, 2716, 2716, 2716, 2716, 2716, 2717, 2717, 2717, 2717, 2717, 2717, 2717, 2717, 2717, 
      2717, 2717, 2717, 2717, 2717, 2717, 2717, 2717, 2717, 2717, 2717, 2717, 2727, 2727, 2727, 2727, 
      2727, 2727, 2727, 2727, 2732, 2732, 2732, 2732, 2732, 2732, 2732, 2732, 2732, 2732, 2732, 2748, 
      2748, 2755, 2755, 2760, 2760, 2772, 2772, 2780, 2798, 2803, 2803, 2803, 2803, 2803, 2803, 2803, 
      2803, 2803, 2803, 2803, 2808, 2808, 2812, 2812, 2813, 2813, 2813, 2813, 2813, 2813, 2813, 2813, 
      2813, 2813, 2813, 2835, 2835, 2847, 2847, 2847, 2847, 2847, 2847, 2847, 2847, 2848, 2848, 2848, 
      2848, 2848, 2848, 2848, 2848, 2848, 2848, 2848, 2848, 2858, 2858, 2858, 2858, 2858, 2858, 2858, 
      2858, 2858, 2858, 2858, 2858, 2859, 2859, 2859, 2859, 2859, 2859, 2859, 2859, 2859, 2859, 2859, 
      2864, 2864, 2866, 2866, 2870, 2870, 2882, 2882, 2882, 2882, 2882, 2882, 2882, 2882, 2886, 2886, 
      2886, 2886, 2886, 2886, 2886, 2886, 2886, 2886, 2886, 2889, 2891, 2891, 2892, 2892, 2899, 2902, 
      2902, 2902, 2902, 2902, 2902, 2902, 2902, 2902, 2902, 2902, 2921, 2921, 2927, 2927, 2930, 2930, 
      2934, 2934, 2934, 2934, 2934, 2934, 2934, 2934, 2934, 2934, 2934, 2945, 2945, 2948, 2948, 2948, 
      2948, 2948, 2948, 2948, 2948, 2958, 2958, 2958, 2958, 2958, 2958, 2958, 2958, 2963, 2963, 2963, 
      2963, 2963, 2963, 2963, 2963, 2966, 2966, 2969, 2969, 2984, 2984, 2984, 2984, 2984, 2984, 2984, 
      2984, 2984, 2984, 2984, 2985, 2985, 2994, 2995, 2995, 2997, 2997, 3003, 3003, 3003, 3003, 3003, 
      3003, 3003, 3003, 3003, 3003, 3003, 3012, 3012, 3018, 3018, 3018, 3018, 3018, 3018, 3018, 3018, 
      3031, 3031, 3031, 3031, 3031, 3031, 3031, 3031, 3033, 3057, 3057, 3074, 3080, 3080, 3082, 3082, 
      3082, 3082, 3082, 3082, 3082, 3082, 3082, 3082, 3082, 3082, 3082, 3082, 3082, 3082, 3082, 3082, 
      3082, 3082, 3082, 3085, 3085, 3085, 3085, 3085, 3085, 3085, 3085, 3085, 3085, 3085, 3087, 3087, 
      3087, 3087, 3087, 3087, 3087, 3087, 3087, 3087, 3087, 3094, 3094, 3094, 3094, 3094, 3094, 3094, 
      3094, 3105, 3105, 3115, 3115, 3115, 3115, 3115, 3115, 3115, 3115, 3115, 3115, 3115, 3128, 3128, 
      3134, 3134, 3134, 3134, 3134, 3134, 3134, 3134, 3134, 3134, 3134, 3141, 3141, 3141, 3141, 3141, 
      3141, 3141, 3141, 3141, 3141, 3141, 3141, 3156, 3156, 3162, 3162, 3162, 3162, 3162, 3162, 3162, 
      3162, 3172, 3172, 3172, 3172, 3172, 3172, 3172, 3172, 3172, 3172, 3172, 3172, 3172, 3172, 3172, 
      3172, 3172, 3172, 3172, 3172, 3172, 3186, 3186, 3186, 3186, 3186, 3186, 3186, 3186, 3186, 3186, 
      3186, 3198, 3198, 3211, 3211, 3211, 3211, 3211, 3211, 3211, 3211, 3211, 3211, 3211, 3216, 3216, 
      3216, 3216, 3216, 3216, 3216, 3216, 3221, 3221, 3221, 3221, 3221, 3221, 3221, 3221, 3221, 3221, 
      3221, 3223, 3225, 3225, 3226, 3239, 3239, 3266, 3270, 3270, 3274, 3274, 3285, 3285, 3285, 3285, 
      3285, 3285, 3285, 3285, 3287, 3288, 3288, 3296, 3296, 3296, 3296, 3296, 3296, 3296, 3296, 3296, 
      3296, 3296, 3308, 3308, 3308, 3308, 3308, 3308, 3308, 3308, 3308, 3308, 3308, 3308, 3320, 3320, 
      3323, 3323, 3323, 3323, 3323, 3323, 3323, 3323, 3323, 3323, 3323, 3323, 3323, 3323, 3323, 3323, 
      3323, 3323, 3323, 3323, 3323, 3331, 3331, 3348, 3348, 3348, 3348, 3348, 3348, 3348, 3348, 3362, 
      3362, 3362, 3362, 3362, 3362, 3362, 3362, 3362, 3362, 3362, 3363, 3363, 3363, 3363, 3363, 3363, 
      3363, 3363, 3363, 3363, 3363, 3363, 3363, 3363, 3363, 3363, 3363, 3363, 3363, 3363, 3363, 3368, 
      3368, 3368, 3368, 3368, 3368, 3368, 3368, 3368, 3368, 3368, 3381, 3381, 3386, 3386, 3393, 3393, 
      3393, 3393, 3393, 3393, 3393, 3393, 3395, 3396, 3412, 3419, 3421, 3421, 3421, 3421, 3421, 3421, 
      3421, 3421, 3421, 3421, 3421, 3421, 3421, 3421, 3421, 3421, 3421, 3421, 3421, 3421, 3421, 3437, 
      3437, 3437, 3437, 3437, 3437, 3437, 3437, 3437, 3437, 3437, 3439, 3439, 3439, 3439, 3439, 3439, 
      3439, 3439, 3439, 3439, 3439, 3439, 3443, 3443, 3453, 3453, 3471, 3471, 3493, 3493, 3494, 3494, 
      3497, 3506, 3506, 3510, 3510, 3510, 3510, 3510, 3510, 3510, 3510, 3510, 3510, 3510, 3510, 3510, 
      3510, 3510, 3510, 3510, 3510, 3510, 3510, 3510, 3522, 3527, 3527, 3527, 3527, 3527, 3527, 3527, 
      3527, 3532, 3532, 3532, 3532, 3532, 3532, 3532, 3532, 3547, 3547, 3547, 3547, 3547, 3547, 3547, 
      3547, 3547, 3547, 3547, 3547, 3547, 3547, 3547, 3547, 3547, 3547, 3547, 3547, 3547, 3550, 3550, 
      3561, 3561, 3562, 3562, 3571, 3571, 3573, 3573, 3573, 3573, 3573, 3573, 3573, 3573, 3573, 3573, 
      3573, 3573, 3574, 3581, 3581, 3581, 3581, 3581, 3581, 3581, 3581, 3581, 3581, 3581, 3581, 3590, 
      3590, 3596, 3596, 3596, 3596, 3596, 3596, 3596, 3596, 3602, 3602, 3602, 3602, 3602, 3602, 3602, 
      3602, 3615, 3615, 3615, 3615, 3615, 3615, 3615, 3615, 3619, 3619, 3622, 3622, 3622, 3622, 3622, 
      3622, 3622, 3622, 3622, 3622, 3622, 3622, 3622, 3622, 3622, 3622, 3622, 3622, 3622, 3622, 3622, 
      3626, 3632, 3648, 3648, 3648, 3648, 3648, 3648, 3648, 3648, 3653, 3653, 3659, 3660, 3679, 3679, 
      3679, 3679, 3679, 3679, 3679, 3679, 3679, 3679, 3679, 3683, 3683, 3684, 3684, 3689, 3700, 3700, 
      3700, 3700, 3700, 3700, 3700, 3700, 3700, 3700, 3700, 3700, 3700, 3700, 3700, 3700, 3700, 3700, 
      3700, 3700, 3700, 3711, 3711, 3711, 3711, 3711, 3711, 3711, 3711, 3711, 3711, 3711, 3718, 3718, 
      3718, 3718, 3718, 3718, 3718, 3718, 3721, 3721, 3721, 3721, 3721, 3721, 3721, 3721, 3721, 3721, 
      3721, 3726, 3736, 3736, 3740, 3751, 3751, 3751, 3751, 3751, 3751, 3751, 3751, 3751, 3751, 3751, 
      3752, 3757, 3758, 3758, 3758, 3758, 3758, 3758, 3758, 3758, 3758, 3758, 3758, 3761, 3769, 3769, 
      3781, 3781, 3781, 3781, 3781, 3781, 3781, 3781, 3781, 3781, 3781, 3781, 3781, 3781, 3781, 3781, 
      3781, 3781, 3781, 3781, 3781, 3783, 3783, 3783, 3783, 3783, 3783, 3783, 3783, 3785, 3810, 3810, 
      3823, 3823, 3831, 3845, 3845, 3845, 3845, 3845, 3845, 3845, 3845, 3846, 3846, 3846, 3846, 3846, 
      3846, 3846, 3846, 3855, 3855, 3859, 3859, 3859, 3859, 3859, 3859, 3859, 3859, 3859, 3859, 3859, 
      3871, 3871, 3871, 3871, 3871, 3871, 3871, 3871, 3871, 3871, 3871, 3871, 3871, 3871, 3871, 3871, 
      3871, 3871, 3871, 3871, 3871, 3907, 3907, 3909, 3909, 3913, 3922, 3922, 3922, 3922, 3922, 3922, 
      3922, 3922, 3922, 3922, 3922, 3922, 3928, 3928, 3928, 3928, 3928, 3928, 3928, 3928, 3942, 3942, 
      3942, 3942, 3942, 3942, 3942, 3942, 3942, 3942, 3942, 3942, 3942, 3942, 3942, 3942, 3942, 3942, 
      3942, 3942, 3942, 3947, 3947, 3947, 3947, 3947, 3947, 3947, 3947, 3947, 3947, 3947, 3947, 3948, 
      3954, 3954, 3954, 3954, 3954, 3954, 3954, 3954, 3962, 3962, 3962, 3962, 3962, 3962, 3962, 3962, 
      3962, 3962, 3962, 3962, 3962, 3962, 3962, 3962, 3962, 3962, 3962, 3962, 3962, 3965, 3965, 3965, 
      3965, 3965, 3965, 3965, 3965, 3965, 3965, 3965, 3969, 3970, 3979, 3980, 3985, 3985, 3985, 3985, 
      3985, 3985, 3985, 3985, 3985, 3985, 3985, 3985, 3985, 3985, 3985, 3985, 3985, 3985, 3985, 3985, 
      3985, 3988, 3988, 3988, 3988, 3988, 3988, 3988, 3988, 3992, 3992, 3993, 3993, 3993, 3993, 3993, 
      3993, 3993, 3993, 3993, 3993, 3993, 4007, 4007, 4012, 4012, 4012, 4012, 4012, 4012, 4012, 4012, 
      4012, 4012, 4012, 4012, 4012, 4012, 4012, 4012, 4012, 4012, 4012, 4012, 4012, 4021, 4033, 4034, 
      4034, 4034, 4034, 4034, 4034, 4034, 4034, 4034, 4034, 4034, 4034, 4038, 4038, 4051, 4057, 4057, 
      4062, 4062, 4062, 4062, 4062, 4062, 4062, 4062, 4068, 4068, 4068, 4068, 4068, 4068, 4068, 4068, 
      4068, 4068, 4068, 4073, 4087, 4087, 4087, 4087, 4087, 4087, 4087, 4087, 4087, 4087, 4087, 4087, 
      4087, 4087, 4087, 4087, 4087, 4087, 4087, 4087, 4087, 4098, 4098, 4098, 4098, 4098, 4098, 4098, 
      4098, 4098, 4098, 4098, 4103, 4103, 4105, 4105, 4105, 4105, 4105, 4105, 4105, 4105, 4105, 4105, 
      4105, 4108, 4108, 4108, 4108, 4108, 4108, 4108, 4108, 4108, 4108, 4108 ] ]