Finite Group DatabasebetaFinite Group Databasebeta| order | 37684 |
| automorphism | ? |
| homology | Abelianization (H1) = C4 · Schur multiplier (H2) = C1 |
| dicyclic | Dic9421 |
| derived, Sylow | C9421 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C2 | D9421 |
| commutator, hypocenter | C9421 | C4 |
| Fitting, socle, prime radical, cosocle | C2×C9421 | C2 |
| LCS | G ▷ C9421 | |
| UCS | C1 ◁ C2 | |
6 conjugacy classes of subgroups.
| minimal degree | μ(G) = 9425 |
| transitive degree | μt(G) = 37684 |
A minimal faithful permutation representation — 2 generators on 9425 points:
(1,2)(3,4)(5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2732,2733,2734,2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750,2751,2752,2753,2754,2755,2756,2757,2758,2759,2760,2761,2762,2763,2764,2765,2766,2767,2768,2769,2770,2771,2772,2773,2774,2775,2776,2777,2778,2779,2780,2781,2782,2783,2784,2785,2786,2787,2788,2789,2790,2791,2792,2793,2794,2795,2796,2797,2798,2799,2800,2801,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2812,2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2827,2828,2829,2830,2831,2832,2833,2834,2835,2836,2837,2838,2839,2840,2841,2842,2843,2844,2845,2846,2847,2848,2849,2850,2851,2852,2853,2854,2855,2856,2857,2858,2859,2860,2861,2862,2863,2864,2865,2866,2867,2868,2869,2870,2871,2872,2873,2874,2875,2876,2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,2892,2893,2894,2895,2896,2897,2898,2899,2900,2901,2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,2914,2915,2916,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,2929,2930,2931,2932,2933,2934,2935,2936,2937,2938,2939,2940,2941,2942,2943,2944,2945,2946,2947,2948,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2964,2965,2966,2967,2968,2969,2970,2971,2972,2973,2974,2975,2976,2977,2978,2979,2980,2981,2982,2983,2984,2985,2986,2987,2988,2989,2990,2991,2992,2993,2994,2995,2996,2997,2998,2999,3000,3001,3002,3003,3004,3005,3006,3007,3008,3009,3010,3011,3012,3013,3014,3015,3016,3017,3018,3019,3020,3021,3022,3023,3024,3025,3026,3027,3028,3029,3030,3031,3032,3033,3034,3035,3036,3037,3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3049,3050,3051,3052,3053,3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,3069,3070,3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,3081,3082,3083,3084,3085,3086,3087,3088,3089,3090,3091,3092,3093,3094,3095,3096,3097,3098,3099,3100,3101,3102,3103,3104,3105,3106,3107,3108,3109,3110,3111,3112,3113,3114,3115,3116,3117,3118,3119,3120,3121,3122,3123,3124,3125,3126,3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,3147,3148,3149,3150,3151,3152,3153,3154,3155,3156,3157,3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3168,3169,3170,3171,3172,3173,3174,3175,3176,3177,3178,3179,3180,3181,3182,3183,3184,3185,3186,3187,3188,3189,3190,3191,3192,3193,3194,3195,3196,3197,3198,3199,3200,3201,3202,3203,3204,3205,3206,3207,3208,3209,3210,3211,3212,3213,3214,3215,3216,3217,3218,3219,3220,3221,3222,3223,3224,3225,3226,3227,3228,3229,3230,3231,3232,3233,3234,3235,3236,3237,3238,3239,3240,3241,3242,3243,3244,3245,3246,3247,3248,3249,3250,3251,3252,3253,3254,3255,3256,3257,3258,3259,3260,3261,3262,3263,3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,3279,3280,3281,3282,3283,3284,3285,3286,3287,3288,3289,3290,3291,3292,3293,3294,3295,3296,3297,3298,3299,3300,3301,3302,3303,3304,3305,3306,3307,3308,3309,3310,3311,3312,3313,3314,3315,3316,3317,3318,3319,3320,3321,3322,3323,3324,3325,3326,3327,3328,3329,3330,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,3344,3345,3346,3347,3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3370,3371,3372,3373,3374,3375,3376,3377,3378,3379,3380,3381,3382,3383,3384,3385,3386,3387,3388,3389,3390,3391,3392,3393,3394,3395,3396,3397,3398,3399,3400,3401,3402,3403,3404,3405,3406,3407,3408,3409,3410,3411,3412,3413,3414,3415,3416,3417,3418,3419,3420,3421,3422,3423,3424,3425,3426,3427,3428,3429,3430,3431,3432,3433,3434,3435,3436,3437,3438,3439,3440,3441,3442,3443,3444,3445,3446,3447,3448,3449,3450,3451,3452,3453,3454,3455,3456,3457,3458,3459,3460,3461,3462,3463,3464,3465,3466,3467,3468,3469,3470,3471,3472,3473,3474,3475,3476,3477,3478,3479,3480,3481,3482,3483,3484,3485,3486,3487,3488,3489,3490,3491,3492,3493,3494,3495,3496,3497,3498,3499,3500,3501,3502,3503,3504,3505,3506,3507,3508,3509,3510,3511,3512,3513,3514,3515,3516,3517,3518,3519,3520,3521,3522,3523,3524,3525,3526,3527,3528,3529,3530,3531,3532,3533,3534,3535,3536,3537,3538,3539,3540,3541,3542,3543,3544,3545,3546,3547,3548,3549,3550,3551,3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,3562,3563,3564,3565,3566,3567,3568,3569,3570,3571,3572,3573,3574,3575,3576,3577,3578,3579,3580,3581,3582,3583,3584,3585,3586,3587,3588,3589,3590,3591,3592,3593,3594,3595,3596,3597,3598,3599,3600,3601,3602,3603,3604,3605,3606,3607,3608,3609,3610,3611,3612,3613,3614,3615,3616,3617,3618,3619,3620,3621,3622,3623,3624,3625,3626,3627,3628,3629,3630,3631,3632,3633,3634,3635,3636,3637,3638,3639,3640,3641,3642,3643,3644,3645,3646,3647,3648,3649,3650,3651,3652,3653,3654,3655,3656,3657,3658,3659,3660,3661,3662,3663,3664,3665,3666,3667,3668,3669,3670,3671,3672,3673,3674,3675,3676,3677,3678,3679,3680,3681,3682,3683,3684,3685,3686,3687,3688,3689,3690,3691,3692,3693,3694,3695,3696,3697,3698,3699,3700,3701,3702,3703,3704,3705,3706,3707,3708,3709,3710,3711,3712,3713,3714,3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3725,3726,3727,3728,3729,3730,3731,3732,3733,3734,3735,3736,3737,3738,3739,3740,3741,3742,3743,3744,3745,3746,3747,3748,3749,3750,3751,3752,3753,3754,3755,3756,3757,3758,3759,3760,3761,3762,3763,3764,3765,3766,3767,3768,3769,3770,3771,3772,3773,3774,3775,3776,3777,3778,3779,3780,3781,3782,3783,3784,3785,3786,3787,3788,3789,3790,3791,3792,3793,3794,3795,3796,3797,3798,3799,3800,3801,3802,3803,3804,3805,3806,3807,3808,3809,3810,3811,3812,3813,3814,3815,3816,3817,3818,3819,3820,3821,3822,3823,3824,3825,3826,3827,3828,3829,3830,3831,3832,3833,3834,3835,3836,3837,3838,3839,3840,3841,3842,3843,3844,3845,3846,3847,3848,3849,3850,3851,3852,3853,3854,3855,3856,3857,3858,3859,3860,3861,3862,3863,3864,3865,3866,3867,3868,3869,3870,3871,3872,3873,3874,3875,3876,3877,3878,3879,3880,3881,3882,3883,3884,3885,3886,3887,3888,3889,3890,3891,3892,3893,3894,3895,3896,3897,3898,3899,3900,3901,3902,3903,3904,3905,3906,3907,3908,3909,3910,3911,3912,3913,3914,3915,3916,3917,3918,3919,3920,3921,3922,3923,3924,3925,3926,3927,3928,3929,3930,3931,3932,3933,3934,3935,3936,3937,3938,3939,3940,3941,3942,3943,3944,3945,3946,3947,3948,3949,3950,3951,3952,3953,3954,3955,3956,3957,3958,3959,3960,3961,3962,3963,3964,3965,3966,3967,3968,3969,3970,3971,3972,3973,3974,3975,3976,3977,3978,3979,3980,3981,3982,3983,3984,3985,3986,3987,3988,3989,3990,3991,3992,3993,3994,3995,3996,3997,3998,3999,4000,4001,4002,4003,4004,4005,4006,4007,4008,4009,4010,4011,4012,4013,4014,4015,4016,4017,4018,4019,4020,4021,4022,4023,4024,4025,4026,4027,4028,4029,4030,4031,4032,4033,4034,4035,4036,4037,4038,4039,4040,4041,4042,4043,4044,4045,4046,4047,4048,4049,4050,4051,4052,4053,4054,4055,4056,4057,4058,4059,4060,4061,4062,4063,4064,4065,4066,4067,4068,4069,4070,4071,4072,4073,4074,4075,4076,4077,4078,4079,4080,4081,4082,4083,4084,4085,4086,4087,4088,4089,4090,4091,4092,4093,4094,4095,4096,4097,4098,4099,4100,4101,4102,4103,4104,4105,4106,4107,4108,4109,4110,4111,4112,4113,4114,4115,4116,4117,4118,4119,4120,4121,4122,4123,4124,4125,4126,4127,4128,4129,4130,4131,4132,4133,4134,4135,4136,4137,4138,4139,4140,4141,4142,4143,4144,4145,4146,4147,4148,4149,4150,4151,4152,4153,4154,4155,4156,4157,4158,4159,4160,4161,4162,4163,4164,4165,4166,4167,4168,4169,4170,4171,4172,4173,4174,4175,4176,4177,4178,4179,4180,4181,4182,4183,4184,4185,4186,4187,4188,4189,4190,4191,4192,4193,4194,4195,4196,4197,4198,4199,4200,4201,4202,4203,4204,4205,4206,4207,4208,4209,4210,4211,4212,4213,4214,4215,4216,4217,4218,4219,4220,4221,4222,4223,4224,4225,4226,4227,4228,4229,4230,4231,4232,4233,4234,4235,4236,4237,4238,4239,4240,4241,4242,4243,4244,4245,4246,4247,4248,4249,4250,4251,4252,4253,4254,4255,4256,4257,4258,4259,4260,4261,4262,4263,4264,4265,4266,4267,4268,4269,4270,4271,4272,4273,4274,4275,4276,4277,4278,4279,4280,4281,4282,4283,4284,4285,4286,4287,4288,4289,4290,4291,4292,4293,4294,4295,4296,4297,4298,4299,4300,4301,4302,4303,4304,4305,4306,4307,4308,4309,4310,4311,4312,4313,4314,4315,4316,4317,4318,4319,4320,4321,4322,4323,4324,4325,4326,4327,4328,4329,4330,4331,4332,4333,4334,4335,4336,4337,4338,4339,4340,4341,4342,4343,4344,4345,4346,4347,4348,4349,4350,4351,4352,4353,4354,4355,4356,4357,4358,4359,4360,4361,4362,4363,4364,4365,4366,4367,4368,4369,4370,4371,4372,4373,4374,4375,4376,4377,4378,4379,4380,4381,4382,4383,4384,4385,4386,4387,4388,4389,4390,4391,4392,4393,4394,4395,4396,4397,4398,4399,4400,4401,4402,4403,4404,4405,4406,4407,4408,4409,4410,4411,4412,4413,4414,4415,4416,4417,4418,4419,4420,4421,4422,4423,4424,4425,4426,4427,4428,4429,4430,4431,4432,4433,4434,4435,4436,4437,4438,4439,4440,4441,4442,4443,4444,4445,4446,4447,4448,4449,4450,4451,4452,4453,4454,4455,4456,4457,4458,4459,4460,4461,4462,4463,4464,4465,4466,4467,4468,4469,4470,4471,4472,4473,4474,4475,4476,4477,4478,4479,4480,4481,4482,4483,4484,4485,4486,4487,4488,4489,4490,4491,4492,4493,4494,4495,4496,4497,4498,4499,4500,4501,4502,4503,4504,4505,4506,4507,4508,4509,4510,4511,4512,4513,4514,4515,4516,4517,4518,4519,4520,4521,4522,4523,4524,4525,4526,4527,4528,4529,4530,4531,4532,4533,4534,4535,4536,4537,4538,4539,4540,4541,4542,4543,4544,4545,4546,4547,4548,4549,4550,4551,4552,4553,4554,4555,4556,4557,4558,4559,4560,4561,4562,4563,4564,4565,4566,4567,4568,4569,4570,4571,4572,4573,4574,4575,4576,4577,4578,4579,4580,4581,4582,4583,4584,4585,4586,4587,4588,4589,4590,4591,4592,4593,4594,4595,4596,4597,4598,4599,4600,4601,4602,4603,4604,4605,4606,4607,4608,4609,4610,4611,4612,4613,4614,4615,4616,4617,4618,4619,4620,4621,4622,4623,4624,4625,4626,4627,4628,4629,4630,4631,4632,4633,4634,4635,4636,4637,4638,4639,4640,4641,4642,4643,4644,4645,4646,4647,4648,4649,4650,4651,4652,4653,4654,4655,4656,4657,4658,4659,4660,4661,4662,4663,4664,4665,4666,4667,4668,4669,4670,4671,4672,4673,4674,4675,4676,4677,4678,4679,4680,4681,4682,4683,4684,4685,4686,4687,4688,4689,4690,4691,4692,4693,4694,4695,4696,4697,4698,4699,4700,4701,4702,4703,4704,4705,4706,4707,4708,4709,4710,4711,4712,4713,4714,4715,4716,4717,4718,4719,4720,4721,4722,4723,4724,4725,4726,4727,4728,4729,4730,4731,4732,4733,4734,4735,4736,4737,4738,4739,4740,4741,4742,4743,4744,4745,4746,4747,4748,4749,4750,4751,4752,4753,4754,4755,4756,4757,4758,4759,4760,4761,4762,4763,4764,4765,4766,4767,4768,4769,4770,4771,4772,4773,4774,4775,4776,4777,4778,4779,4780,4781,4782,4783,4784,4785,4786,4787,4788,4789,4790,4791,4792,4793,4794,4795,4796,4797,4798,4799,4800,4801,4802,4803,4804,4805,4806,4807,4808,4809,4810,4811,4812,4813,4814,4815,4816,4817,4818,4819,4820,4821,4822,4823,4824,4825,4826,4827,4828,4829,4830,4831,4832,4833,4834,4835,4836,4837,4838,4839,4840,4841,4842,4843,4844,4845,4846,4847,4848,4849,4850,4851,4852,4853,4854,4855,4856,4857,4858,4859,4860,4861,4862,4863,4864,4865,4866,4867,4868,4869,4870,4871,4872,4873,4874,4875,4876,4877,4878,4879,4880,4881,4882,4883,4884,4885,4886,4887,4888,4889,4890,4891,4892,4893,4894,4895,4896,4897,4898,4899,4900,4901,4902,4903,4904,4905,4906,4907,4908,4909,4910,4911,4912,4913,4914,4915,4916,4917,4918,4919,4920,4921,4922,4923,4924,4925,4926,4927,4928,4929,4930,4931,4932,4933,4934,4935,4936,4937,4938,4939,4940,4941,4942,4943,4944,4945,4946,4947,4948,4949,4950,4951,4952,4953,4954,4955,4956,4957,4958,4959,4960,4961,4962,4963,4964,4965,4966,4967,4968,4969,4970,4971,4972,4973,4974,4975,4976,4977,4978,4979,4980,4981,4982,4983,4984,4985,4986,4987,4988,4989,4990,4991,4992,4993,4994,4995,4996,4997,4998,4999,5000,5001,5002,5003,5004,5005,5006,5007,5008,5009,5010,5011,5012,5013,5014,5015,5016,5017,5018,5019,5020,5021,5022,5023,5024,5025,5026,5027,5028,5029,5030,5031,5032,5033,5034,5035,5036,5037,5038,5039,5040,5041,5042,5043,5044,5045,5046,5047,5048,5049,5050,5051,5052,5053,5054,5055,5056,5057,5058,5059,5060,5061,5062,5063,5064,5065,5066,5067,5068,5069,5070,5071,5072,5073,5074,5075,5076,5077,5078,5079,5080,5081,5082,5083,5084,5085,5086,5087,5088,5089,5090,5091,5092,5093,5094,5095,5096,5097,5098,5099,5100,5101,5102,5103,5104,5105,5106,5107,5108,5109,5110,5111,5112,5113,5114,5115,5116,5117,5118,5119,5120,5121,5122,5123,5124,5125,5126,5127,5128,5129,5130,5131,5132,5133,5134,5135,5136,5137,5138,5139,5140,5141,5142,5143,5144,5145,5146,5147,5148,5149,5150,5151,5152,5153,5154,5155,5156,5157,5158,5159,5160,5161,5162,5163,5164,5165,5166,5167,5168,5169,5170,5171,5172,5173,5174,5175,5176,5177,5178,5179,5180,5181,5182,5183,5184,5185,5186,5187,5188,5189,5190,5191,5192,5193,5194,5195,5196,5197,5198,5199,5200,5201,5202,5203,5204,5205,5206,5207,5208,5209,5210,5211,5212,5213,5214,5215,5216,5217,5218,5219,5220,5221,5222,5223,5224,5225,5226,5227,5228,5229,5230,5231,5232,5233,5234,5235,5236,5237,5238,5239,5240,5241,5242,5243,5244,5245,5246,5247,5248,5249,5250,5251,5252,5253,5254,5255,5256,5257,5258,5259,5260,5261,5262,5263,5264,5265,5266,5267,5268,5269,5270,5271,5272,5273,5274,5275,5276,5277,5278,5279,5280,5281,5282,5283,5284,5285,5286,5287,5288,5289,5290,5291,5292,5293,5294,5295,5296,5297,5298,5299,5300,5301,5302,5303,5304,5305,5306,5307,5308,5309,5310,5311,5312,5313,5314,5315,5316,5317,5318,5319,5320,5321,5322,5323,5324,5325,5326,5327,5328,5329,5330,5331,5332,5333,5334,5335,5336,5337,5338,5339,5340,5341,5342,5343,5344,5345,5346,5347,5348,5349,5350,5351,5352,5353,5354,5355,5356,5357,5358,5359,5360,5361,5362,5363,5364,5365,5366,5367,5368,5369,5370,5371,5372,5373,5374,5375,5376,5377,5378,5379,5380,5381,5382,5383,5384,5385,5386,5387,5388,5389,5390,5391,5392,5393,5394,5395,5396,5397,5398,5399,5400,5401,5402,5403,5404,5405,5406,5407,5408,5409,5410,5411,5412,5413,5414,5415,5416,5417,5418,5419,5420,5421,5422,5423,5424,5425,5426,5427,5428,5429,5430,5431,5432,5433,5434,5435,5436,5437,5438,5439,5440,5441,5442,5443,5444,5445,5446,5447,5448,5449,5450,5451,5452,5453,5454,5455,5456,5457,5458,5459,5460,5461,5462,5463,5464,5465,5466,5467,5468,5469,5470,5471,5472,5473,5474,5475,5476,5477,5478,5479,5480,5481,5482,5483,5484,5485,5486,5487,5488,5489,5490,5491,5492,5493,5494,5495,5496,5497,5498,5499,5500,5501,5502,5503,5504,5505,5506,5507,5508,5509,5510,5511,5512,5513,5514,5515,5516,5517,5518,5519,5520,5521,5522,5523,5524,5525,5526,5527,5528,5529,5530,5531,5532,5533,5534,5535,5536,5537,5538,5539,5540,5541,5542,5543,5544,5545,5546,5547,5548,5549,5550,5551,5552,5553,5554,5555,5556,5557,5558,5559,5560,5561,5562,5563,5564,5565,5566,5567,5568,5569,5570,5571,5572,5573,5574,5575,5576,5577,5578,5579,5580,5581,5582,5583,5584,5585,5586,5587,5588,5589,5590,5591,5592,5593,5594,5595,5596,5597,5598,5599,5600,5601,5602,5603,5604,5605,5606,5607,5608,5609,5610,5611,5612,5613,5614,5615,5616,5617,5618,5619,5620,5621,5622,5623,5624,5625,5626,5627,5628,5629,5630,5631,5632,5633,5634,5635,5636,5637,5638,5639,5640,5641,5642,5643,5644,5645,5646,5647,5648,5649,5650,5651,5652,5653,5654,5655,5656,5657,5658,5659,5660,5661,5662,5663,5664,5665,5666,5667,5668,5669,5670,5671,5672,5673,5674,5675,5676,5677,5678,5679,5680,5681,5682,5683,5684,5685,5686,5687,5688,5689,5690,5691,5692,5693,5694,5695,5696,5697,5698,5699,5700,5701,5702,5703,5704,5705,5706,5707,5708,5709,5710,5711,5712,5713,5714,5715,5716,5717,5718,5719,5720,5721,5722,5723,5724,5725,5726,5727,5728,5729,5730,5731,5732,5733,5734,5735,5736,5737,5738,5739,5740,5741,5742,5743,5744,5745,5746,5747,5748,5749,5750,5751,5752,5753,5754,5755,5756,5757,5758,5759,5760,5761,5762,5763,5764,5765,5766,5767,5768,5769,5770,5771,5772,5773,5774,5775,5776,5777,5778,5779,5780,5781,5782,5783,5784,5785,5786,5787,5788,5789,5790,5791,5792,5793,5794,5795,5796,5797,5798,5799,5800,5801,5802,5803,5804,5805,5806,5807,5808,5809,5810,5811,5812,5813,5814,5815,5816,5817,5818,5819,5820,5821,5822,5823,5824,5825,5826,5827,5828,5829,5830,5831,5832,5833,5834,5835,5836,5837,5838,5839,5840,5841,5842,5843,5844,5845,5846,5847,5848,5849,5850,5851,5852,5853,5854,5855,5856,5857,5858,5859,5860,5861,5862,5863,5864,5865,5866,5867,5868,5869,5870,5871,5872,5873,5874,5875,5876,5877,5878,5879,5880,5881,5882,5883,5884,5885,5886,5887,5888,5889,5890,5891,5892,5893,5894,5895,5896,5897,5898,5899,5900,5901,5902,5903,5904,5905,5906,5907,5908,5909,5910,5911,5912,5913,5914,5915,5916,5917,5918,5919,5920,5921,5922,5923,5924,5925,5926,5927,5928,5929,5930,5931,5932,5933,5934,5935,5936,5937,5938,5939,5940,5941,5942,5943,5944,5945,5946,5947,5948,5949,5950,5951,5952,5953,5954,5955,5956,5957,5958,5959,5960,5961,5962,5963,5964,5965,5966,5967,5968,5969,5970,5971,5972,5973,5974,5975,5976,5977,5978,5979,5980,5981,5982,5983,5984,5985,5986,5987,5988,5989,5990,5991,5992,5993,5994,5995,5996,5997,5998,5999,6000,6001,6002,6003,6004,6005,6006,6007,6008,6009,6010,6011,6012,6013,6014,6015,6016,6017,6018,6019,6020,6021,6022,6023,6024,6025,6026,6027,6028,6029,6030,6031,6032,6033,6034,6035,6036,6037,6038,6039,6040,6041,6042,6043,6044,6045,6046,6047,6048,6049,6050,6051,6052,6053,6054,6055,6056,6057,6058,6059,6060,6061,6062,6063,6064,6065,6066,6067,6068,6069,6070,6071,6072,6073,6074,6075,6076,6077,6078,6079,6080,6081,6082,6083,6084,6085,6086,6087,6088,6089,6090,6091,6092,6093,6094,6095,6096,6097,6098,6099,6100,6101,6102,6103,6104,6105,6106,6107,6108,6109,6110,6111,6112,6113,6114,6115,6116,6117,6118,6119,6120,6121,6122,6123,6124,6125,6126,6127,6128,6129,6130,6131,6132,6133,6134,6135,6136,6137,6138,6139,6140,6141,6142,6143,6144,6145,6146,6147,6148,6149,6150,6151,6152,6153,6154,6155,6156,6157,6158,6159,6160,6161,6162,6163,6164,6165,6166,6167,6168,6169,6170,6171,6172,6173,6174,6175,6176,6177,6178,6179,6180,6181,6182,6183,6184,6185,6186,6187,6188,6189,6190,6191,6192,6193,6194,6195,6196,6197,6198,6199,6200,6201,6202,6203,6204,6205,6206,6207,6208,6209,6210,6211,6212,6213,6214,6215,6216,6217,6218,6219,6220,6221,6222,6223,6224,6225,6226,6227,6228,6229,6230,6231,6232,6233,6234,6235,6236,6237,6238,6239,6240,6241,6242,6243,6244,6245,6246,6247,6248,6249,6250,6251,6252,6253,6254,6255,6256,6257,6258,6259,6260,6261,6262,6263,6264,6265,6266,6267,6268,6269,6270,6271,6272,6273,6274,6275,6276,6277,6278,6279,6280,6281,6282,6283,6284,6285,6286,6287,6288,6289,6290,6291,6292,6293,6294,6295,6296,6297,6298,6299,6300,6301,6302,6303,6304,6305,6306,6307,6308,6309,6310,6311,6312,6313,6314,6315,6316,6317,6318,6319,6320,6321,6322,6323,6324,6325,6326,6327,6328,6329,6330,6331,6332,6333,6334,6335,6336,6337,6338,6339,6340,6341,6342,6343,6344,6345,6346,6347,6348,6349,6350,6351,6352,6353,6354,6355,6356,6357,6358,6359,6360,6361,6362,6363,6364,6365,6366,6367,6368,6369,6370,6371,6372,6373,6374,6375,6376,6377,6378,6379,6380,6381,6382,6383,6384,6385,6386,6387,6388,6389,6390,6391,6392,6393,6394,6395,6396,6397,6398,6399,6400,6401,6402,6403,6404,6405,6406,6407,6408,6409,6410,6411,6412,6413,6414,6415,6416,6417,6418,6419,6420,6421,6422,6423,6424,6425,6426,6427,6428,6429,6430,6431,6432,6433,6434,6435,6436,6437,6438,6439,6440,6441,6442,6443,6444,6445,6446,6447,6448,6449,6450,6451,6452,6453,6454,6455,6456,6457,6458,6459,6460,6461,6462,6463,6464,6465,6466,6467,6468,6469,6470,6471,6472,6473,6474,6475,6476,6477,6478,6479,6480,6481,6482,6483,6484,6485,6486,6487,6488,6489,6490,6491,6492,6493,6494,6495,6496,6497,6498,6499,6500,6501,6502,6503,6504,6505,6506,6507,6508,6509,6510,6511,6512,6513,6514,6515,6516,6517,6518,6519,6520,6521,6522,6523,6524,6525,6526,6527,6528,6529,6530,6531,6532,6533,6534,6535,6536,6537,6538,6539,6540,6541,6542,6543,6544,6545,6546,6547,6548,6549,6550,6551,6552,6553,6554,6555,6556,6557,6558,6559,6560,6561,6562,6563,6564,6565,6566,6567,6568,6569,6570,6571,6572,6573,6574,6575,6576,6577,6578,6579,6580,6581,6582,6583,6584,6585,6586,6587,6588,6589,6590,6591,6592,6593,6594,6595,6596,6597,6598,6599,6600,6601,6602,6603,6604,6605,6606,6607,6608,6609,6610,6611,6612,6613,6614,6615,6616,6617,6618,6619,6620,6621,6622,6623,6624,6625,6626,6627,6628,6629,6630,6631,6632,6633,6634,6635,6636,6637,6638,6639,6640,6641,6642,6643,6644,6645,6646,6647,6648,6649,6650,6651,6652,6653,6654,6655,6656,6657,6658,6659,6660,6661,6662,6663,6664,6665,6666,6667,6668,6669,6670,6671,6672,6673,6674,6675,6676,6677,6678,6679,6680,6681,6682,6683,6684,6685,6686,6687,6688,6689,6690,6691,6692,6693,6694,6695,6696,6697,6698,6699,6700,6701,6702,6703,6704,6705,6706,6707,6708,6709,6710,6711,6712,6713,6714,6715,6716,6717,6718,6719,6720,6721,6722,6723,6724,6725,6726,6727,6728,6729,6730,6731,6732,6733,6734,6735,6736,6737,6738,6739,6740,6741,6742,6743,6744,6745,6746,6747,6748,6749,6750,6751,6752,6753,6754,6755,6756,6757,6758,6759,6760,6761,6762,6763,6764,6765,6766,6767,6768,6769,6770,6771,6772,6773,6774,6775,6776,6777,6778,6779,6780,6781,6782,6783,6784,6785,6786,6787,6788,6789,6790,6791,6792,6793,6794,6795,6796,6797,6798,6799,6800,6801,6802,6803,6804,6805,6806,6807,6808,6809,6810,6811,6812,6813,6814,6815,6816,6817,6818,6819,6820,6821,6822,6823,6824,6825,6826,6827,6828,6829,6830,6831,6832,6833,6834,6835,6836,6837,6838,6839,6840,6841,6842,6843,6844,6845,6846,6847,6848,6849,6850,6851,6852,6853,6854,6855,6856,6857,6858,6859,6860,6861,6862,6863,6864,6865,6866,6867,6868,6869,6870,6871,6872,6873,6874,6875,6876,6877,6878,6879,6880,6881,6882,6883,6884,6885,6886,6887,6888,6889,6890,6891,6892,6893,6894,6895,6896,6897,6898,6899,6900,6901,6902,6903,6904,6905,6906,6907,6908,6909,6910,6911,6912,6913,6914,6915,6916,6917,6918,6919,6920,6921,6922,6923,6924,6925,6926,6927,6928,6929,6930,6931,6932,6933,6934,6935,6936,6937,6938,6939,6940,6941,6942,6943,6944,6945,6946,6947,6948,6949,6950,6951,6952,6953,6954,6955,6956,6957,6958,6959,6960,6961,6962,6963,6964,6965,6966,6967,6968,6969,6970,6971,6972,6973,6974,6975,6976,6977,6978,6979,6980,6981,6982,6983,6984,6985,6986,6987,6988,6989,6990,6991,6992,6993,6994,6995,6996,6997,6998,6999,7000,7001,7002,7003,7004,7005,7006,7007,7008,7009,7010,7011,7012,7013,7014,7015,7016,7017,7018,7019,7020,7021,7022,7023,7024,7025,7026,7027,7028,7029,7030,7031,7032,7033,7034,7035,7036,7037,7038,7039,7040,7041,7042,7043,7044,7045,7046,7047,7048,7049,7050,7051,7052,7053,7054,7055,7056,7057,7058,7059,7060,7061,7062,7063,7064,7065,7066,7067,7068,7069,7070,7071,7072,7073,7074,7075,7076,7077,7078,7079,7080,7081,7082,7083,7084,7085,7086,7087,7088,7089,7090,7091,7092,7093,7094,7095,7096,7097,7098,7099,7100,7101,7102,7103,7104,7105,7106,7107,7108,7109,7110,7111,7112,7113,7114,7115,7116,7117,7118,7119,7120,7121,7122,7123,7124,7125,7126,7127,7128,7129,7130,7131,7132,7133,7134,7135,7136,7137,7138,7139,7140,7141,7142,7143,7144,7145,7146,7147,7148,7149,7150,7151,7152,7153,7154,7155,7156,7157,7158,7159,7160,7161,7162,7163,7164,7165,7166,7167,7168,7169,7170,7171,7172,7173,7174,7175,7176,7177,7178,7179,7180,7181,7182,7183,7184,7185,7186,7187,7188,7189,7190,7191,7192,7193,7194,7195,7196,7197,7198,7199,7200,7201,7202,7203,7204,7205,7206,7207,7208,7209,7210,7211,7212,7213,7214,7215,7216,7217,7218,7219,7220,7221,7222,7223,7224,7225,7226,7227,7228,7229,7230,7231,7232,7233,7234,7235,7236,7237,7238,7239,7240,7241,7242,7243,7244,7245,7246,7247,7248,7249,7250,7251,7252,7253,7254,7255,7256,7257,7258,7259,7260,7261,7262,7263,7264,7265,7266,7267,7268,7269,7270,7271,7272,7273,7274,7275,7276,7277,7278,7279,7280,7281,7282,7283,7284,7285,7286,7287,7288,7289,7290,7291,7292,7293,7294,7295,7296,7297,7298,7299,7300,7301,7302,7303,7304,7305,7306,7307,7308,7309,7310,7311,7312,7313,7314,7315,7316,7317,7318,7319,7320,7321,7322,7323,7324,7325,7326,7327,7328,7329,7330,7331,7332,7333,7334,7335,7336,7337,7338,7339,7340,7341,7342,7343,7344,7345,7346,7347,7348,7349,7350,7351,7352,7353,7354,7355,7356,7357,7358,7359,7360,7361,7362,7363,7364,7365,7366,7367,7368,7369,7370,7371,7372,7373,7374,7375,7376,7377,7378,7379,7380,7381,7382,7383,7384,7385,7386,7387,7388,7389,7390,7391,7392,7393,7394,7395,7396,7397,7398,7399,7400,7401,7402,7403,7404,7405,7406,7407,7408,7409,7410,7411,7412,7413,7414,7415,7416,7417,7418,7419,7420,7421,7422,7423,7424,7425,7426,7427,7428,7429,7430,7431,7432,7433,7434,7435,7436,7437,7438,7439,7440,7441,7442,7443,7444,7445,7446,7447,7448,7449,7450,7451,7452,7453,7454,7455,7456,7457,7458,7459,7460,7461,7462,7463,7464,7465,7466,7467,7468,7469,7470,7471,7472,7473,7474,7475,7476,7477,7478,7479,7480,7481,7482,7483,7484,7485,7486,7487,7488,7489,7490,7491,7492,7493,7494,7495,7496,7497,7498,7499,7500,7501,7502,7503,7504,7505,7506,7507,7508,7509,7510,7511,7512,7513,7514,7515,7516,7517,7518,7519,7520,7521,7522,7523,7524,7525,7526,7527,7528,7529,7530,7531,7532,7533,7534,7535,7536,7537,7538,7539,7540,7541,7542,7543,7544,7545,7546,7547,7548,7549,7550,7551,7552,7553,7554,7555,7556,7557,7558,7559,7560,7561,7562,7563,7564,7565,7566,7567,7568,7569,7570,7571,7572,7573,7574,7575,7576,7577,7578,7579,7580,7581,7582,7583,7584,7585,7586,7587,7588,7589,7590,7591,7592,7593,7594,7595,7596,7597,7598,7599,7600,7601,7602,7603,7604,7605,7606,7607,7608,7609,7610,7611,7612,7613,7614,7615,7616,7617,7618,7619,7620,7621,7622,7623,7624,7625,7626,7627,7628,7629,7630,7631,7632,7633,7634,7635,7636,7637,7638,7639,7640,7641,7642,7643,7644,7645,7646,7647,7648,7649,7650,7651,7652,7653,7654,7655,7656,7657,7658,7659,7660,7661,7662,7663,7664,7665,7666,7667,7668,7669,7670,7671,7672,7673,7674,7675,7676,7677,7678,7679,7680,7681,7682,7683,7684,7685,7686,7687,7688,7689,7690,7691,7692,7693,7694,7695,7696,7697,7698,7699,7700,7701,7702,7703,7704,7705,7706,7707,7708,7709,7710,7711,7712,7713,7714,7715,7716,7717,7718,7719,7720,7721,7722,7723,7724,7725,7726,7727,7728,7729,7730,7731,7732,7733,7734,7735,7736,7737,7738,7739,7740,7741,7742,7743,7744,7745,7746,7747,7748,7749,7750,7751,7752,7753,7754,7755,7756,7757,7758,7759,7760,7761,7762,7763,7764,7765,7766,7767,7768,7769,7770,7771,7772,7773,7774,7775,7776,7777,7778,7779,7780,7781,7782,7783,7784,7785,7786,7787,7788,7789,7790,7791,7792,7793,7794,7795,7796,7797,7798,7799,7800,7801,7802,7803,7804,7805,7806,7807,7808,7809,7810,7811,7812,7813,7814,7815,7816,7817,7818,7819,7820,7821,7822,7823,7824,7825,7826,7827,7828,7829,7830,7831,7832,7833,7834,7835,7836,7837,7838,7839,7840,7841,7842,7843,7844,7845,7846,7847,7848,7849,7850,7851,7852,7853,7854,7855,7856,7857,7858,7859,7860,7861,7862,7863,7864,7865,7866,7867,7868,7869,7870,7871,7872,7873,7874,7875,7876,7877,7878,7879,7880,7881,7882,7883,7884,7885,7886,7887,7888,7889,7890,7891,7892,7893,7894,7895,7896,7897,7898,7899,7900,7901,7902,7903,7904,7905,7906,7907,7908,7909,7910,7911,7912,7913,7914,7915,7916,7917,7918,7919,7920,7921,7922,7923,7924,7925,7926,7927,7928,7929,7930,7931,7932,7933,7934,7935,7936,7937,7938,7939,7940,7941,7942,7943,7944,7945,7946,7947,7948,7949,7950,7951,7952,7953,7954,7955,7956,7957,7958,7959,7960,7961,7962,7963,7964,7965,7966,7967,7968,7969,7970,7971,7972,7973,7974,7975,7976,7977,7978,7979,7980,7981,7982,7983,7984,7985,7986,7987,7988,7989,7990,7991,7992,7993,7994,7995,7996,7997,7998,7999,8000,8001,8002,8003,8004,8005,8006,8007,8008,8009,8010,8011,8012,8013,8014,8015,8016,8017,8018,8019,8020,8021,8022,8023,8024,8025,8026,8027,8028,8029,8030,8031,8032,8033,8034,8035,8036,8037,8038,8039,8040,8041,8042,8043,8044,8045,8046,8047,8048,8049,8050,8051,8052,8053,8054,8055,8056,8057,8058,8059,8060,8061,8062,8063,8064,8065,8066,8067,8068,8069,8070,8071,8072,8073,8074,8075,8076,8077,8078,8079,8080,8081,8082,8083,8084,8085,8086,8087,8088,8089,8090,8091,8092,8093,8094,8095,8096,8097,8098,8099,8100,8101,8102,8103,8104,8105,8106,8107,8108,8109,8110,8111,8112,8113,8114,8115,8116,8117,8118,8119,8120,8121,8122,8123,8124,8125,8126,8127,8128,8129,8130,8131,8132,8133,8134,8135,8136,8137,8138,8139,8140,8141,8142,8143,8144,8145,8146,8147,8148,8149,8150,8151,8152,8153,8154,8155,8156,8157,8158,8159,8160,8161,8162,8163,8164,8165,8166,8167,8168,8169,8170,8171,8172,8173,8174,8175,8176,8177,8178,8179,8180,8181,8182,8183,8184,8185,8186,8187,8188,8189,8190,8191,8192,8193,8194,8195,8196,8197,8198,8199,8200,8201,8202,8203,8204,8205,8206,8207,8208,8209,8210,8211,8212,8213,8214,8215,8216,8217,8218,8219,8220,8221,8222,8223,8224,8225,8226,8227,8228,8229,8230,8231,8232,8233,8234,8235,8236,8237,8238,8239,8240,8241,8242,8243,8244,8245,8246,8247,8248,8249,8250,8251,8252,8253,8254,8255,8256,8257,8258,8259,8260,8261,8262,8263,8264,8265,8266,8267,8268,8269,8270,8271,8272,8273,8274,8275,8276,8277,8278,8279,8280,8281,8282,8283,8284,8285,8286,8287,8288,8289,8290,8291,8292,8293,8294,8295,8296,8297,8298,8299,8300,8301,8302,8303,8304,8305,8306,8307,8308,8309,8310,8311,8312,8313,8314,8315,8316,8317,8318,8319,8320,8321,8322,8323,8324,8325,8326,8327,8328,8329,8330,8331,8332,8333,8334,8335,8336,8337,8338,8339,8340,8341,8342,8343,8344,8345,8346,8347,8348,8349,8350,8351,8352,8353,8354,8355,8356,8357,8358,8359,8360,8361,8362,8363,8364,8365,8366,8367,8368,8369,8370,8371,8372,8373,8374,8375,8376,8377,8378,8379,8380,8381,8382,8383,8384,8385,8386,8387,8388,8389,8390,8391,8392,8393,8394,8395,8396,8397,8398,8399,8400,8401,8402,8403,8404,8405,8406,8407,8408,8409,8410,8411,8412,8413,8414,8415,8416,8417,8418,8419,8420,8421,8422,8423,8424,8425,8426,8427,8428,8429,8430,8431,8432,8433,8434,8435,8436,8437,8438,8439,8440,8441,8442,8443,8444,8445,8446,8447,8448,8449,8450,8451,8452,8453,8454,8455,8456,8457,8458,8459,8460,8461,8462,8463,8464,8465,8466,8467,8468,8469,8470,8471,8472,8473,8474,8475,8476,8477,8478,8479,8480,8481,8482,8483,8484,8485,8486,8487,8488,8489,8490,8491,8492,8493,8494,8495,8496,8497,8498,8499,8500,8501,8502,8503,8504,8505,8506,8507,8508,8509,8510,8511,8512,8513,8514,8515,8516,8517,8518,8519,8520,8521,8522,8523,8524,8525,8526,8527,8528,8529,8530,8531,8532,8533,8534,8535,8536,8537,8538,8539,8540,8541,8542,8543,8544,8545,8546,8547,8548,8549,8550,8551,8552,8553,8554,8555,8556,8557,8558,8559,8560,8561,8562,8563,8564,8565,8566,8567,8568,8569,8570,8571,8572,8573,8574,8575,8576,8577,8578,8579,8580,8581,8582,8583,8584,8585,8586,8587,8588,8589,8590,8591,8592,8593,8594,8595,8596,8597,8598,8599,8600,8601,8602,8603,8604,8605,8606,8607,8608,8609,8610,8611,8612,8613,8614,8615,8616,8617,8618,8619,8620,8621,8622,8623,8624,8625,8626,8627,8628,8629,8630,8631,8632,8633,8634,8635,8636,8637,8638,8639,8640,8641,8642,8643,8644,8645,8646,8647,8648,8649,8650,8651,8652,8653,8654,8655,8656,8657,8658,8659,8660,8661,8662,8663,8664,8665,8666,8667,8668,8669,8670,8671,8672,8673,8674,8675,8676,8677,8678,8679,8680,8681,8682,8683,8684,8685,8686,8687,8688,8689,8690,8691,8692,8693,8694,8695,8696,8697,8698,8699,8700,8701,8702,8703,8704,8705,8706,8707,8708,8709,8710,8711,8712,8713,8714,8715,8716,8717,8718,8719,8720,8721,8722,8723,8724,8725,8726,8727,8728,8729,8730,8731,8732,8733,8734,8735,8736,8737,8738,8739,8740,8741,8742,8743,8744,8745,8746,8747,8748,8749,8750,8751,8752,8753,8754,8755,8756,8757,8758,8759,8760,8761,8762,8763,8764,8765,8766,8767,8768,8769,8770,8771,8772,8773,8774,8775,8776,8777,8778,8779,8780,8781,8782,8783,8784,8785,8786,8787,8788,8789,8790,8791,8792,8793,8794,8795,8796,8797,8798,8799,8800,8801,8802,8803,8804,8805,8806,8807,8808,8809,8810,8811,8812,8813,8814,8815,8816,8817,8818,8819,8820,8821,8822,8823,8824,8825,8826,8827,8828,8829,8830,8831,8832,8833,8834,8835,8836,8837,8838,8839,8840,8841,8842,8843,8844,8845,8846,8847,8848,8849,8850,8851,8852,8853,8854,8855,8856,8857,8858,8859,8860,8861,8862,8863,8864,8865,8866,8867,8868,8869,8870,8871,8872,8873,8874,8875,8876,8877,8878,8879,8880,8881,8882,8883,8884,8885,8886,8887,8888,8889,8890,8891,8892,8893,8894,8895,8896,8897,8898,8899,8900,8901,8902,8903,8904,8905,8906,8907,8908,8909,8910,8911,8912,8913,8914,8915,8916,8917,8918,8919,8920,8921,8922,8923,8924,8925,8926,8927,8928,8929,8930,8931,8932,8933,8934,8935,8936,8937,8938,8939,8940,8941,8942,8943,8944,8945,8946,8947,8948,8949,8950,8951,8952,8953,8954,8955,8956,8957,8958,8959,8960,8961,8962,8963,8964,8965,8966,8967,8968,8969,8970,8971,8972,8973,8974,8975,8976,8977,8978,8979,8980,8981,8982,8983,8984,8985,8986,8987,8988,8989,8990,8991,8992,8993,8994,8995,8996,8997,8998,8999,9000,9001,9002,9003,9004,9005,9006,9007,9008,9009,9010,9011,9012,9013,9014,9015,9016,9017,9018,9019,9020,9021,9022,9023,9024,9025,9026,9027,9028,9029,9030,9031,9032,9033,9034,9035,9036,9037,9038,9039,9040,9041,9042,9043,9044,9045,9046,9047,9048,9049,9050,9051,9052,9053,9054,9055,9056,9057,9058,9059,9060,9061,9062,9063,9064,9065,9066,9067,9068,9069,9070,9071,9072,9073,9074,9075,9076,9077,9078,9079,9080,9081,9082,9083,9084,9085,9086,9087,9088,9089,9090,9091,9092,9093,9094,9095,9096,9097,9098,9099,9100,9101,9102,9103,9104,9105,9106,9107,9108,9109,9110,9111,9112,9113,9114,9115,9116,9117,9118,9119,9120,9121,9122,9123,9124,9125,9126,9127,9128,9129,9130,9131,9132,9133,9134,9135,9136,9137,9138,9139,9140,9141,9142,9143,9144,9145,9146,9147,9148,9149,9150,9151,9152,9153,9154,9155,9156,9157,9158,9159,9160,9161,9162,9163,9164,9165,9166,9167,9168,9169,9170,9171,9172,9173,9174,9175,9176,9177,9178,9179,9180,9181,9182,9183,9184,9185,9186,9187,9188,9189,9190,9191,9192,9193,9194,9195,9196,9197,9198,9199,9200,9201,9202,9203,9204,9205,9206,9207,9208,9209,9210,9211,9212,9213,9214,9215,9216,9217,9218,9219,9220,9221,9222,9223,9224,9225,9226,9227,9228,9229,9230,9231,9232,9233,9234,9235,9236,9237,9238,9239,9240,9241,9242,9243,9244,9245,9246,9247,9248,9249,9250,9251,9252,9253,9254,9255,9256,9257,9258,9259,9260,9261,9262,9263,9264,9265,9266,9267,9268,9269,9270,9271,9272,9273,9274,9275,9276,9277,9278,9279,9280,9281,9282,9283,9284,9285,9286,9287,9288,9289,9290,9291,9292,9293,9294,9295,9296,9297,9298,9299,9300,9301,9302,9303,9304,9305,9306,9307,9308,9309,9310,9311,9312,9313,9314,9315,9316,9317,9318,9319,9320,9321,9322,9323,9324,9325,9326,9327,9328,9329,9330,9331,9332,9333,9334,9335,9336,9337,9338,9339,9340,9341,9342,9343,9344,9345,9346,9347,9348,9349,9350,9351,9352,9353,9354,9355,9356,9357,9358,9359,9360,9361,9362,9363,9364,9365,9366,9367,9368,9369,9370,9371,9372,9373,9374,9375,9376,9377,9378,9379,9380,9381,9382,9383,9384,9385,9386,9387,9388,9389,9390,9391,9392,9393,9394,9395,9396,9397,9398,9399,9400,9401,9402,9403,9404,9405,9406,9407,9408,9409,9410,9411,9412,9413,9414,9415,9416,9417,9418,9419,9420,9421,9422,9423,9424,9425);(1,3,2,4)(6,9425)(7,9424)(8,9423)(9,9422)(10,9421)(11,9420)(12,9419)(13,9418)(14,9417)(15,9416)(16,9415)(17,9414)(18,9413)(19,9412)(20,9411)(21,9410)(22,9409)(23,9408)(24,9407)(25,9406)(26,9405)(27,9404)(28,9403)(29,9402)(30,9401)(31,9400)(32,9399)(33,9398)(34,9397)(35,9396)(36,9395)(37,9394)(38,9393)(39,9392)(40,9391)(41,9390)(42,9389)(43,9388)(44,9387)(45,9386)(46,9385)(47,9384)(48,9383)(49,9382)(50,9381)(51,9380)(52,9379)(53,9378)(54,9377)(55,9376)(56,9375)(57,9374)(58,9373)(59,9372)(60,9371)(61,9370)(62,9369)(63,9368)(64,9367)(65,9366)(66,9365)(67,9364)(68,9363)(69,9362)(70,9361)(71,9360)(72,9359)(73,9358)(74,9357)(75,9356)(76,9355)(77,9354)(78,9353)(79,9352)(80,9351)(81,9350)(82,9349)(83,9348)(84,9347)(85,9346)(86,9345)(87,9344)(88,9343)(89,9342)(90,9341)(91,9340)(92,9339)(93,9338)(94,9337)(95,9336)(96,9335)(97,9334)(98,9333)(99,9332)(100,9331)(101,9330)(102,9329)(103,9328)(104,9327)(105,9326)(106,9325)(107,9324)(108,9323)(109,9322)(110,9321)(111,9320)(112,9319)(113,9318)(114,9317)(115,9316)(116,9315)(117,9314)(118,9313)(119,9312)(120,9311)(121,9310)(122,9309)(123,9308)(124,9307)(125,9306)(126,9305)(127,9304)(128,9303)(129,9302)(130,9301)(131,9300)(132,9299)(133,9298)(134,9297)(135,9296)(136,9295)(137,9294)(138,9293)(139,9292)(140,9291)(141,9290)(142,9289)(143,9288)(144,9287)(145,9286)(146,9285)(147,9284)(148,9283)(149,9282)(150,9281)(151,9280)(152,9279)(153,9278)(154,9277)(155,9276)(156,9275)(157,9274)(158,9273)(159,9272)(160,9271)(161,9270)(162,9269)(163,9268)(164,9267)(165,9266)(166,9265)(167,9264)(168,9263)(169,9262)(170,9261)(171,9260)(172,9259)(173,9258)(174,9257)(175,9256)(176,9255)(177,9254)(178,9253)(179,9252)(180,9251)(181,9250)(182,9249)(183,9248)(184,9247)(185,9246)(186,9245)(187,9244)(188,9243)(189,9242)(190,9241)(191,9240)(192,9239)(193,9238)(194,9237)(195,9236)(196,9235)(197,9234)(198,9233)(199,9232)(200,9231)(201,9230)(202,9229)(203,9228)(204,9227)(205,9226)(206,9225)(207,9224)(208,9223)(209,9222)(210,9221)(211,9220)(212,9219)(213,9218)(214,9217)(215,9216)(216,9215)(217,9214)(218,9213)(219,9212)(220,9211)(221,9210)(222,9209)(223,9208)(224,9207)(225,9206)(226,9205)(227,9204)(228,9203)(229,9202)(230,9201)(231,9200)(232,9199)(233,9198)(234,9197)(235,9196)(236,9195)(237,9194)(238,9193)(239,9192)(240,9191)(241,9190)(242,9189)(243,9188)(244,9187)(245,9186)(246,9185)(247,9184)(248,9183)(249,9182)(250,9181)(251,9180)(252,9179)(253,9178)(254,9177)(255,9176)(256,9175)(257,9174)(258,9173)(259,9172)(260,9171)(261,9170)(262,9169)(263,9168)(264,9167)(265,9166)(266,9165)(267,9164)(268,9163)(269,9162)(270,9161)(271,9160)(272,9159)(273,9158)(274,9157)(275,9156)(276,9155)(277,9154)(278,9153)(279,9152)(280,9151)(281,9150)(282,9149)(283,9148)(284,9147)(285,9146)(286,9145)(287,9144)(288,9143)(289,9142)(290,9141)(291,9140)(292,9139)(293,9138)(294,9137)(295,9136)(296,9135)(297,9134)(298,9133)(299,9132)(300,9131)(301,9130)(302,9129)(303,9128)(304,9127)(305,9126)(306,9125)(307,9124)(308,9123)(309,9122)(310,9121)(311,9120)(312,9119)(313,9118)(314,9117)(315,9116)(316,9115)(317,9114)(318,9113)(319,9112)(320,9111)(321,9110)(322,9109)(323,9108)(324,9107)(325,9106)(326,9105)(327,9104)(328,9103)(329,9102)(330,9101)(331,9100)(332,9099)(333,9098)(334,9097)(335,9096)(336,9095)(337,9094)(338,9093)(339,9092)(340,9091)(341,9090)(342,9089)(343,9088)(344,9087)(345,9086)(346,9085)(347,9084)(348,9083)(349,9082)(350,9081)(351,9080)(352,9079)(353,9078)(354,9077)(355,9076)(356,9075)(357,9074)(358,9073)(359,9072)(360,9071)(361,9070)(362,9069)(363,9068)(364,9067)(365,9066)(366,9065)(367,9064)(368,9063)(369,9062)(370,9061)(371,9060)(372,9059)(373,9058)(374,9057)(375,9056)(376,9055)(377,9054)(378,9053)(379,9052)(380,9051)(381,9050)(382,9049)(383,9048)(384,9047)(385,9046)(386,9045)(387,9044)(388,9043)(389,9042)(390,9041)(391,9040)(392,9039)(393,9038)(394,9037)(395,9036)(396,9035)(397,9034)(398,9033)(399,9032)(400,9031)(401,9030)(402,9029)(403,9028)(404,9027)(405,9026)(406,9025)(407,9024)(408,9023)(409,9022)(410,9021)(411,9020)(412,9019)(413,9018)(414,9017)(415,9016)(416,9015)(417,9014)(418,9013)(419,9012)(420,9011)(421,9010)(422,9009)(423,9008)(424,9007)(425,9006)(426,9005)(427,9004)(428,9003)(429,9002)(430,9001)(431,9000)(432,8999)(433,8998)(434,8997)(435,8996)(436,8995)(437,8994)(438,8993)(439,8992)(440,8991)(441,8990)(442,8989)(443,8988)(444,8987)(445,8986)(446,8985)(447,8984)(448,8983)(449,8982)(450,8981)(451,8980)(452,8979)(453,8978)(454,8977)(455,8976)(456,8975)(457,8974)(458,8973)(459,8972)(460,8971)(461,8970)(462,8969)(463,8968)(464,8967)(465,8966)(466,8965)(467,8964)(468,8963)(469,8962)(470,8961)(471,8960)(472,8959)(473,8958)(474,8957)(475,8956)(476,8955)(477,8954)(478,8953)(479,8952)(480,8951)(481,8950)(482,8949)(483,8948)(484,8947)(485,8946)(486,8945)(487,8944)(488,8943)(489,8942)(490,8941)(491,8940)(492,8939)(493,8938)(494,8937)(495,8936)(496,8935)(497,8934)(498,8933)(499,8932)(500,8931)(501,8930)(502,8929)(503,8928)(504,8927)(505,8926)(506,8925)(507,8924)(508,8923)(509,8922)(510,8921)(511,8920)(512,8919)(513,8918)(514,8917)(515,8916)(516,8915)(517,8914)(518,8913)(519,8912)(520,8911)(521,8910)(522,8909)(523,8908)(524,8907)(525,8906)(526,8905)(527,8904)(528,8903)(529,8902)(530,8901)(531,8900)(532,8899)(533,8898)(534,8897)(535,8896)(536,8895)(537,8894)(538,8893)(539,8892)(540,8891)(541,8890)(542,8889)(543,8888)(544,8887)(545,8886)(546,8885)(547,8884)(548,8883)(549,8882)(550,8881)(551,8880)(552,8879)(553,8878)(554,8877)(555,8876)(556,8875)(557,8874)(558,8873)(559,8872)(560,8871)(561,8870)(562,8869)(563,8868)(564,8867)(565,8866)(566,8865)(567,8864)(568,8863)(569,8862)(570,8861)(571,8860)(572,8859)(573,8858)(574,8857)(575,8856)(576,8855)(577,8854)(578,8853)(579,8852)(580,8851)(581,8850)(582,8849)(583,8848)(584,8847)(585,8846)(586,8845)(587,8844)(588,8843)(589,8842)(590,8841)(591,8840)(592,8839)(593,8838)(594,8837)(595,8836)(596,8835)(597,8834)(598,8833)(599,8832)(600,8831)(601,8830)(602,8829)(603,8828)(604,8827)(605,8826)(606,8825)(607,8824)(608,8823)(609,8822)(610,8821)(611,8820)(612,8819)(613,8818)(614,8817)(615,8816)(616,8815)(617,8814)(618,8813)(619,8812)(620,8811)(621,8810)(622,8809)(623,8808)(624,8807)(625,8806)(626,8805)(627,8804)(628,8803)(629,8802)(630,8801)(631,8800)(632,8799)(633,8798)(634,8797)(635,8796)(636,8795)(637,8794)(638,8793)(639,8792)(640,8791)(641,8790)(642,8789)(643,8788)(644,8787)(645,8786)(646,8785)(647,8784)(648,8783)(649,8782)(650,8781)(651,8780)(652,8779)(653,8778)(654,8777)(655,8776)(656,8775)(657,8774)(658,8773)(659,8772)(660,8771)(661,8770)(662,8769)(663,8768)(664,8767)(665,8766)(666,8765)(667,8764)(668,8763)(669,8762)(670,8761)(671,8760)(672,8759)(673,8758)(674,8757)(675,8756)(676,8755)(677,8754)(678,8753)(679,8752)(680,8751)(681,8750)(682,8749)(683,8748)(684,8747)(685,8746)(686,8745)(687,8744)(688,8743)(689,8742)(690,8741)(691,8740)(692,8739)(693,8738)(694,8737)(695,8736)(696,8735)(697,8734)(698,8733)(699,8732)(700,8731)(701,8730)(702,8729)(703,8728)(704,8727)(705,8726)(706,8725)(707,8724)(708,8723)(709,8722)(710,8721)(711,8720)(712,8719)(713,8718)(714,8717)(715,8716)(716,8715)(717,8714)(718,8713)(719,8712)(720,8711)(721,8710)(722,8709)(723,8708)(724,8707)(725,8706)(726,8705)(727,8704)(728,8703)(729,8702)(730,8701)(731,8700)(732,8699)(733,8698)(734,8697)(735,8696)(736,8695)(737,8694)(738,8693)(739,8692)(740,8691)(741,8690)(742,8689)(743,8688)(744,8687)(745,8686)(746,8685)(747,8684)(748,8683)(749,8682)(750,8681)(751,8680)(752,8679)(753,8678)(754,8677)(755,8676)(756,8675)(757,8674)(758,8673)(759,8672)(760,8671)(761,8670)(762,8669)(763,8668)(764,8667)(765,8666)(766,8665)(767,8664)(768,8663)(769,8662)(770,8661)(771,8660)(772,8659)(773,8658)(774,8657)(775,8656)(776,8655)(777,8654)(778,8653)(779,8652)(780,8651)(781,8650)(782,8649)(783,8648)(784,8647)(785,8646)(786,8645)(787,8644)(788,8643)(789,8642)(790,8641)(791,8640)(792,8639)(793,8638)(794,8637)(795,8636)(796,8635)(797,8634)(798,8633)(799,8632)(800,8631)(801,8630)(802,8629)(803,8628)(804,8627)(805,8626)(806,8625)(807,8624)(808,8623)(809,8622)(810,8621)(811,8620)(812,8619)(813,8618)(814,8617)(815,8616)(816,8615)(817,8614)(818,8613)(819,8612)(820,8611)(821,8610)(822,8609)(823,8608)(824,8607)(825,8606)(826,8605)(827,8604)(828,8603)(829,8602)(830,8601)(831,8600)(832,8599)(833,8598)(834,8597)(835,8596)(836,8595)(837,8594)(838,8593)(839,8592)(840,8591)(841,8590)(842,8589)(843,8588)(844,8587)(845,8586)(846,8585)(847,8584)(848,8583)(849,8582)(850,8581)(851,8580)(852,8579)(853,8578)(854,8577)(855,8576)(856,8575)(857,8574)(858,8573)(859,8572)(860,8571)(861,8570)(862,8569)(863,8568)(864,8567)(865,8566)(866,8565)(867,8564)(868,8563)(869,8562)(870,8561)(871,8560)(872,8559)(873,8558)(874,8557)(875,8556)(876,8555)(877,8554)(878,8553)(879,8552)(880,8551)(881,8550)(882,8549)(883,8548)(884,8547)(885,8546)(886,8545)(887,8544)(888,8543)(889,8542)(890,8541)(891,8540)(892,8539)(893,8538)(894,8537)(895,8536)(896,8535)(897,8534)(898,8533)(899,8532)(900,8531)(901,8530)(902,8529)(903,8528)(904,8527)(905,8526)(906,8525)(907,8524)(908,8523)(909,8522)(910,8521)(911,8520)(912,8519)(913,8518)(914,8517)(915,8516)(916,8515)(917,8514)(918,8513)(919,8512)(920,8511)(921,8510)(922,8509)(923,8508)(924,8507)(925,8506)(926,8505)(927,8504)(928,8503)(929,8502)(930,8501)(931,8500)(932,8499)(933,8498)(934,8497)(935,8496)(936,8495)(937,8494)(938,8493)(939,8492)(940,8491)(941,8490)(942,8489)(943,8488)(944,8487)(945,8486)(946,8485)(947,8484)(948,8483)(949,8482)(950,8481)(951,8480)(952,8479)(953,8478)(954,8477)(955,8476)(956,8475)(957,8474)(958,8473)(959,8472)(960,8471)(961,8470)(962,8469)(963,8468)(964,8467)(965,8466)(966,8465)(967,8464)(968,8463)(969,8462)(970,8461)(971,8460)(972,8459)(973,8458)(974,8457)(975,8456)(976,8455)(977,8454)(978,8453)(979,8452)(980,8451)(981,8450)(982,8449)(983,8448)(984,8447)(985,8446)(986,8445)(987,8444)(988,8443)(989,8442)(990,8441)(991,8440)(992,8439)(993,8438)(994,8437)(995,8436)(996,8435)(997,8434)(998,8433)(999,8432)(1000,8431)(1001,8430)(1002,8429)(1003,8428)(1004,8427)(1005,8426)(1006,8425)(1007,8424)(1008,8423)(1009,8422)(1010,8421)(1011,8420)(1012,8419)(1013,8418)(1014,8417)(1015,8416)(1016,8415)(1017,8414)(1018,8413)(1019,8412)(1020,8411)(1021,8410)(1022,8409)(1023,8408)(1024,8407)(1025,8406)(1026,8405)(1027,8404)(1028,8403)(1029,8402)(1030,8401)(1031,8400)(1032,8399)(1033,8398)(1034,8397)(1035,8396)(1036,8395)(1037,8394)(1038,8393)(1039,8392)(1040,8391)(1041,8390)(1042,8389)(1043,8388)(1044,8387)(1045,8386)(1046,8385)(1047,8384)(1048,8383)(1049,8382)(1050,8381)(1051,8380)(1052,8379)(1053,8378)(1054,8377)(1055,8376)(1056,8375)(1057,8374)(1058,8373)(1059,8372)(1060,8371)(1061,8370)(1062,8369)(1063,8368)(1064,8367)(1065,8366)(1066,8365)(1067,8364)(1068,8363)(1069,8362)(1070,8361)(1071,8360)(1072,8359)(1073,8358)(1074,8357)(1075,8356)(1076,8355)(1077,8354)(1078,8353)(1079,8352)(1080,8351)(1081,8350)(1082,8349)(1083,8348)(1084,8347)(1085,8346)(1086,8345)(1087,8344)(1088,8343)(1089,8342)(1090,8341)(1091,8340)(1092,8339)(1093,8338)(1094,8337)(1095,8336)(1096,8335)(1097,8334)(1098,8333)(1099,8332)(1100,8331)(1101,8330)(1102,8329)(1103,8328)(1104,8327)(1105,8326)(1106,8325)(1107,8324)(1108,8323)(1109,8322)(1110,8321)(1111,8320)(1112,8319)(1113,8318)(1114,8317)(1115,8316)(1116,8315)(1117,8314)(1118,8313)(1119,8312)(1120,8311)(1121,8310)(1122,8309)(1123,8308)(1124,8307)(1125,8306)(1126,8305)(1127,8304)(1128,8303)(1129,8302)(1130,8301)(1131,8300)(1132,8299)(1133,8298)(1134,8297)(1135,8296)(1136,8295)(1137,8294)(1138,8293)(1139,8292)(1140,8291)(1141,8290)(1142,8289)(1143,8288)(1144,8287)(1145,8286)(1146,8285)(1147,8284)(1148,8283)(1149,8282)(1150,8281)(1151,8280)(1152,8279)(1153,8278)(1154,8277)(1155,8276)(1156,8275)(1157,8274)(1158,8273)(1159,8272)(1160,8271)(1161,8270)(1162,8269)(1163,8268)(1164,8267)(1165,8266)(1166,8265)(1167,8264)(1168,8263)(1169,8262)(1170,8261)(1171,8260)(1172,8259)(1173,8258)(1174,8257)(1175,8256)(1176,8255)(1177,8254)(1178,8253)(1179,8252)(1180,8251)(1181,8250)(1182,8249)(1183,8248)(1184,8247)(1185,8246)(1186,8245)(1187,8244)(1188,8243)(1189,8242)(1190,8241)(1191,8240)(1192,8239)(1193,8238)(1194,8237)(1195,8236)(1196,8235)(1197,8234)(1198,8233)(1199,8232)(1200,8231)(1201,8230)(1202,8229)(1203,8228)(1204,8227)(1205,8226)(1206,8225)(1207,8224)(1208,8223)(1209,8222)(1210,8221)(1211,8220)(1212,8219)(1213,8218)(1214,8217)(1215,8216)(1216,8215)(1217,8214)(1218,8213)(1219,8212)(1220,8211)(1221,8210)(1222,8209)(1223,8208)(1224,8207)(1225,8206)(1226,8205)(1227,8204)(1228,8203)(1229,8202)(1230,8201)(1231,8200)(1232,8199)(1233,8198)(1234,8197)(1235,8196)(1236,8195)(1237,8194)(1238,8193)(1239,8192)(1240,8191)(1241,8190)(1242,8189)(1243,8188)(1244,8187)(1245,8186)(1246,8185)(1247,8184)(1248,8183)(1249,8182)(1250,8181)(1251,8180)(1252,8179)(1253,8178)(1254,8177)(1255,8176)(1256,8175)(1257,8174)(1258,8173)(1259,8172)(1260,8171)(1261,8170)(1262,8169)(1263,8168)(1264,8167)(1265,8166)(1266,8165)(1267,8164)(1268,8163)(1269,8162)(1270,8161)(1271,8160)(1272,8159)(1273,8158)(1274,8157)(1275,8156)(1276,8155)(1277,8154)(1278,8153)(1279,8152)(1280,8151)(1281,8150)(1282,8149)(1283,8148)(1284,8147)(1285,8146)(1286,8145)(1287,8144)(1288,8143)(1289,8142)(1290,8141)(1291,8140)(1292,8139)(1293,8138)(1294,8137)(1295,8136)(1296,8135)(1297,8134)(1298,8133)(1299,8132)(1300,8131)(1301,8130)(1302,8129)(1303,8128)(1304,8127)(1305,8126)(1306,8125)(1307,8124)(1308,8123)(1309,8122)(1310,8121)(1311,8120)(1312,8119)(1313,8118)(1314,8117)(1315,8116)(1316,8115)(1317,8114)(1318,8113)(1319,8112)(1320,8111)(1321,8110)(1322,8109)(1323,8108)(1324,8107)(1325,8106)(1326,8105)(1327,8104)(1328,8103)(1329,8102)(1330,8101)(1331,8100)(1332,8099)(1333,8098)(1334,8097)(1335,8096)(1336,8095)(1337,8094)(1338,8093)(1339,8092)(1340,8091)(1341,8090)(1342,8089)(1343,8088)(1344,8087)(1345,8086)(1346,8085)(1347,8084)(1348,8083)(1349,8082)(1350,8081)(1351,8080)(1352,8079)(1353,8078)(1354,8077)(1355,8076)(1356,8075)(1357,8074)(1358,8073)(1359,8072)(1360,8071)(1361,8070)(1362,8069)(1363,8068)(1364,8067)(1365,8066)(1366,8065)(1367,8064)(1368,8063)(1369,8062)(1370,8061)(1371,8060)(1372,8059)(1373,8058)(1374,8057)(1375,8056)(1376,8055)(1377,8054)(1378,8053)(1379,8052)(1380,8051)(1381,8050)(1382,8049)(1383,8048)(1384,8047)(1385,8046)(1386,8045)(1387,8044)(1388,8043)(1389,8042)(1390,8041)(1391,8040)(1392,8039)(1393,8038)(1394,8037)(1395,8036)(1396,8035)(1397,8034)(1398,8033)(1399,8032)(1400,8031)(1401,8030)(1402,8029)(1403,8028)(1404,8027)(1405,8026)(1406,8025)(1407,8024)(1408,8023)(1409,8022)(1410,8021)(1411,8020)(1412,8019)(1413,8018)(1414,8017)(1415,8016)(1416,8015)(1417,8014)(1418,8013)(1419,8012)(1420,8011)(1421,8010)(1422,8009)(1423,8008)(1424,8007)(1425,8006)(1426,8005)(1427,8004)(1428,8003)(1429,8002)(1430,8001)(1431,8000)(1432,7999)(1433,7998)(1434,7997)(1435,7996)(1436,7995)(1437,7994)(1438,7993)(1439,7992)(1440,7991)(1441,7990)(1442,7989)(1443,7988)(1444,7987)(1445,7986)(1446,7985)(1447,7984)(1448,7983)(1449,7982)(1450,7981)(1451,7980)(1452,7979)(1453,7978)(1454,7977)(1455,7976)(1456,7975)(1457,7974)(1458,7973)(1459,7972)(1460,7971)(1461,7970)(1462,7969)(1463,7968)(1464,7967)(1465,7966)(1466,7965)(1467,7964)(1468,7963)(1469,7962)(1470,7961)(1471,7960)(1472,7959)(1473,7958)(1474,7957)(1475,7956)(1476,7955)(1477,7954)(1478,7953)(1479,7952)(1480,7951)(1481,7950)(1482,7949)(1483,7948)(1484,7947)(1485,7946)(1486,7945)(1487,7944)(1488,7943)(1489,7942)(1490,7941)(1491,7940)(1492,7939)(1493,7938)(1494,7937)(1495,7936)(1496,7935)(1497,7934)(1498,7933)(1499,7932)(1500,7931)(1501,7930)(1502,7929)(1503,7928)(1504,7927)(1505,7926)(1506,7925)(1507,7924)(1508,7923)(1509,7922)(1510,7921)(1511,7920)(1512,7919)(1513,7918)(1514,7917)(1515,7916)(1516,7915)(1517,7914)(1518,7913)(1519,7912)(1520,7911)(1521,7910)(1522,7909)(1523,7908)(1524,7907)(1525,7906)(1526,7905)(1527,7904)(1528,7903)(1529,7902)(1530,7901)(1531,7900)(1532,7899)(1533,7898)(1534,7897)(1535,7896)(1536,7895)(1537,7894)(1538,7893)(1539,7892)(1540,7891)(1541,7890)(1542,7889)(1543,7888)(1544,7887)(1545,7886)(1546,7885)(1547,7884)(1548,7883)(1549,7882)(1550,7881)(1551,7880)(1552,7879)(1553,7878)(1554,7877)(1555,7876)(1556,7875)(1557,7874)(1558,7873)(1559,7872)(1560,7871)(1561,7870)(1562,7869)(1563,7868)(1564,7867)(1565,7866)(1566,7865)(1567,7864)(1568,7863)(1569,7862)(1570,7861)(1571,7860)(1572,7859)(1573,7858)(1574,7857)(1575,7856)(1576,7855)(1577,7854)(1578,7853)(1579,7852)(1580,7851)(1581,7850)(1582,7849)(1583,7848)(1584,7847)(1585,7846)(1586,7845)(1587,7844)(1588,7843)(1589,7842)(1590,7841)(1591,7840)(1592,7839)(1593,7838)(1594,7837)(1595,7836)(1596,7835)(1597,7834)(1598,7833)(1599,7832)(1600,7831)(1601,7830)(1602,7829)(1603,7828)(1604,7827)(1605,7826)(1606,7825)(1607,7824)(1608,7823)(1609,7822)(1610,7821)(1611,7820)(1612,7819)(1613,7818)(1614,7817)(1615,7816)(1616,7815)(1617,7814)(1618,7813)(1619,7812)(1620,7811)(1621,7810)(1622,7809)(1623,7808)(1624,7807)(1625,7806)(1626,7805)(1627,7804)(1628,7803)(1629,7802)(1630,7801)(1631,7800)(1632,7799)(1633,7798)(1634,7797)(1635,7796)(1636,7795)(1637,7794)(1638,7793)(1639,7792)(1640,7791)(1641,7790)(1642,7789)(1643,7788)(1644,7787)(1645,7786)(1646,7785)(1647,7784)(1648,7783)(1649,7782)(1650,7781)(1651,7780)(1652,7779)(1653,7778)(1654,7777)(1655,7776)(1656,7775)(1657,7774)(1658,7773)(1659,7772)(1660,7771)(1661,7770)(1662,7769)(1663,7768)(1664,7767)(1665,7766)(1666,7765)(1667,7764)(1668,7763)(1669,7762)(1670,7761)(1671,7760)(1672,7759)(1673,7758)(1674,7757)(1675,7756)(1676,7755)(1677,7754)(1678,7753)(1679,7752)(1680,7751)(1681,7750)(1682,7749)(1683,7748)(1684,7747)(1685,7746)(1686,7745)(1687,7744)(1688,7743)(1689,7742)(1690,7741)(1691,7740)(1692,7739)(1693,7738)(1694,7737)(1695,7736)(1696,7735)(1697,7734)(1698,7733)(1699,7732)(1700,7731)(1701,7730)(1702,7729)(1703,7728)(1704,7727)(1705,7726)(1706,7725)(1707,7724)(1708,7723)(1709,7722)(1710,7721)(1711,7720)(1712,7719)(1713,7718)(1714,7717)(1715,7716)(1716,7715)(1717,7714)(1718,7713)(1719,7712)(1720,7711)(1721,7710)(1722,7709)(1723,7708)(1724,7707)(1725,7706)(1726,7705)(1727,7704)(1728,7703)(1729,7702)(1730,7701)(1731,7700)(1732,7699)(1733,7698)(1734,7697)(1735,7696)(1736,7695)(1737,7694)(1738,7693)(1739,7692)(1740,7691)(1741,7690)(1742,7689)(1743,7688)(1744,7687)(1745,7686)(1746,7685)(1747,7684)(1748,7683)(1749,7682)(1750,7681)(1751,7680)(1752,7679)(1753,7678)(1754,7677)(1755,7676)(1756,7675)(1757,7674)(1758,7673)(1759,7672)(1760,7671)(1761,7670)(1762,7669)(1763,7668)(1764,7667)(1765,7666)(1766,7665)(1767,7664)(1768,7663)(1769,7662)(1770,7661)(1771,7660)(1772,7659)(1773,7658)(1774,7657)(1775,7656)(1776,7655)(1777,7654)(1778,7653)(1779,7652)(1780,7651)(1781,7650)(1782,7649)(1783,7648)(1784,7647)(1785,7646)(1786,7645)(1787,7644)(1788,7643)(1789,7642)(1790,7641)(1791,7640)(1792,7639)(1793,7638)(1794,7637)(1795,7636)(1796,7635)(1797,7634)(1798,7633)(1799,7632)(1800,7631)(1801,7630)(1802,7629)(1803,7628)(1804,7627)(1805,7626)(1806,7625)(1807,7624)(1808,7623)(1809,7622)(1810,7621)(1811,7620)(1812,7619)(1813,7618)(1814,7617)(1815,7616)(1816,7615)(1817,7614)(1818,7613)(1819,7612)(1820,7611)(1821,7610)(1822,7609)(1823,7608)(1824,7607)(1825,7606)(1826,7605)(1827,7604)(1828,7603)(1829,7602)(1830,7601)(1831,7600)(1832,7599)(1833,7598)(1834,7597)(1835,7596)(1836,7595)(1837,7594)(1838,7593)(1839,7592)(1840,7591)(1841,7590)(1842,7589)(1843,7588)(1844,7587)(1845,7586)(1846,7585)(1847,7584)(1848,7583)(1849,7582)(1850,7581)(1851,7580)(1852,7579)(1853,7578)(1854,7577)(1855,7576)(1856,7575)(1857,7574)(1858,7573)(1859,7572)(1860,7571)(1861,7570)(1862,7569)(1863,7568)(1864,7567)(1865,7566)(1866,7565)(1867,7564)(1868,7563)(1869,7562)(1870,7561)(1871,7560)(1872,7559)(1873,7558)(1874,7557)(1875,7556)(1876,7555)(1877,7554)(1878,7553)(1879,7552)(1880,7551)(1881,7550)(1882,7549)(1883,7548)(1884,7547)(1885,7546)(1886,7545)(1887,7544)(1888,7543)(1889,7542)(1890,7541)(1891,7540)(1892,7539)(1893,7538)(1894,7537)(1895,7536)(1896,7535)(1897,7534)(1898,7533)(1899,7532)(1900,7531)(1901,7530)(1902,7529)(1903,7528)(1904,7527)(1905,7526)(1906,7525)(1907,7524)(1908,7523)(1909,7522)(1910,7521)(1911,7520)(1912,7519)(1913,7518)(1914,7517)(1915,7516)(1916,7515)(1917,7514)(1918,7513)(1919,7512)(1920,7511)(1921,7510)(1922,7509)(1923,7508)(1924,7507)(1925,7506)(1926,7505)(1927,7504)(1928,7503)(1929,7502)(1930,7501)(1931,7500)(1932,7499)(1933,7498)(1934,7497)(1935,7496)(1936,7495)(1937,7494)(1938,7493)(1939,7492)(1940,7491)(1941,7490)(1942,7489)(1943,7488)(1944,7487)(1945,7486)(1946,7485)(1947,7484)(1948,7483)(1949,7482)(1950,7481)(1951,7480)(1952,7479)(1953,7478)(1954,7477)(1955,7476)(1956,7475)(1957,7474)(1958,7473)(1959,7472)(1960,7471)(1961,7470)(1962,7469)(1963,7468)(1964,7467)(1965,7466)(1966,7465)(1967,7464)(1968,7463)(1969,7462)(1970,7461)(1971,7460)(1972,7459)(1973,7458)(1974,7457)(1975,7456)(1976,7455)(1977,7454)(1978,7453)(1979,7452)(1980,7451)(1981,7450)(1982,7449)(1983,7448)(1984,7447)(1985,7446)(1986,7445)(1987,7444)(1988,7443)(1989,7442)(1990,7441)(1991,7440)(1992,7439)(1993,7438)(1994,7437)(1995,7436)(1996,7435)(1997,7434)(1998,7433)(1999,7432)(2000,7431)(2001,7430)(2002,7429)(2003,7428)(2004,7427)(2005,7426)(2006,7425)(2007,7424)(2008,7423)(2009,7422)(2010,7421)(2011,7420)(2012,7419)(2013,7418)(2014,7417)(2015,7416)(2016,7415)(2017,7414)(2018,7413)(2019,7412)(2020,7411)(2021,7410)(2022,7409)(2023,7408)(2024,7407)(2025,7406)(2026,7405)(2027,7404)(2028,7403)(2029,7402)(2030,7401)(2031,7400)(2032,7399)(2033,7398)(2034,7397)(2035,7396)(2036,7395)(2037,7394)(2038,7393)(2039,7392)(2040,7391)(2041,7390)(2042,7389)(2043,7388)(2044,7387)(2045,7386)(2046,7385)(2047,7384)(2048,7383)(2049,7382)(2050,7381)(2051,7380)(2052,7379)(2053,7378)(2054,7377)(2055,7376)(2056,7375)(2057,7374)(2058,7373)(2059,7372)(2060,7371)(2061,7370)(2062,7369)(2063,7368)(2064,7367)(2065,7366)(2066,7365)(2067,7364)(2068,7363)(2069,7362)(2070,7361)(2071,7360)(2072,7359)(2073,7358)(2074,7357)(2075,7356)(2076,7355)(2077,7354)(2078,7353)(2079,7352)(2080,7351)(2081,7350)(2082,7349)(2083,7348)(2084,7347)(2085,7346)(2086,7345)(2087,7344)(2088,7343)(2089,7342)(2090,7341)(2091,7340)(2092,7339)(2093,7338)(2094,7337)(2095,7336)(2096,7335)(2097,7334)(2098,7333)(2099,7332)(2100,7331)(2101,7330)(2102,7329)(2103,7328)(2104,7327)(2105,7326)(2106,7325)(2107,7324)(2108,7323)(2109,7322)(2110,7321)(2111,7320)(2112,7319)(2113,7318)(2114,7317)(2115,7316)(2116,7315)(2117,7314)(2118,7313)(2119,7312)(2120,7311)(2121,7310)(2122,7309)(2123,7308)(2124,7307)(2125,7306)(2126,7305)(2127,7304)(2128,7303)(2129,7302)(2130,7301)(2131,7300)(2132,7299)(2133,7298)(2134,7297)(2135,7296)(2136,7295)(2137,7294)(2138,7293)(2139,7292)(2140,7291)(2141,7290)(2142,7289)(2143,7288)(2144,7287)(2145,7286)(2146,7285)(2147,7284)(2148,7283)(2149,7282)(2150,7281)(2151,7280)(2152,7279)(2153,7278)(2154,7277)(2155,7276)(2156,7275)(2157,7274)(2158,7273)(2159,7272)(2160,7271)(2161,7270)(2162,7269)(2163,7268)(2164,7267)(2165,7266)(2166,7265)(2167,7264)(2168,7263)(2169,7262)(2170,7261)(2171,7260)(2172,7259)(2173,7258)(2174,7257)(2175,7256)(2176,7255)(2177,7254)(2178,7253)(2179,7252)(2180,7251)(2181,7250)(2182,7249)(2183,7248)(2184,7247)(2185,7246)(2186,7245)(2187,7244)(2188,7243)(2189,7242)(2190,7241)(2191,7240)(2192,7239)(2193,7238)(2194,7237)(2195,7236)(2196,7235)(2197,7234)(2198,7233)(2199,7232)(2200,7231)(2201,7230)(2202,7229)(2203,7228)(2204,7227)(2205,7226)(2206,7225)(2207,7224)(2208,7223)(2209,7222)(2210,7221)(2211,7220)(2212,7219)(2213,7218)(2214,7217)(2215,7216)(2216,7215)(2217,7214)(2218,7213)(2219,7212)(2220,7211)(2221,7210)(2222,7209)(2223,7208)(2224,7207)(2225,7206)(2226,7205)(2227,7204)(2228,7203)(2229,7202)(2230,7201)(2231,7200)(2232,7199)(2233,7198)(2234,7197)(2235,7196)(2236,7195)(2237,7194)(2238,7193)(2239,7192)(2240,7191)(2241,7190)(2242,7189)(2243,7188)(2244,7187)(2245,7186)(2246,7185)(2247,7184)(2248,7183)(2249,7182)(2250,7181)(2251,7180)(2252,7179)(2253,7178)(2254,7177)(2255,7176)(2256,7175)(2257,7174)(2258,7173)(2259,7172)(2260,7171)(2261,7170)(2262,7169)(2263,7168)(2264,7167)(2265,7166)(2266,7165)(2267,7164)(2268,7163)(2269,7162)(2270,7161)(2271,7160)(2272,7159)(2273,7158)(2274,7157)(2275,7156)(2276,7155)(2277,7154)(2278,7153)(2279,7152)(2280,7151)(2281,7150)(2282,7149)(2283,7148)(2284,7147)(2285,7146)(2286,7145)(2287,7144)(2288,7143)(2289,7142)(2290,7141)(2291,7140)(2292,7139)(2293,7138)(2294,7137)(2295,7136)(2296,7135)(2297,7134)(2298,7133)(2299,7132)(2300,7131)(2301,7130)(2302,7129)(2303,7128)(2304,7127)(2305,7126)(2306,7125)(2307,7124)(2308,7123)(2309,7122)(2310,7121)(2311,7120)(2312,7119)(2313,7118)(2314,7117)(2315,7116)(2316,7115)(2317,7114)(2318,7113)(2319,7112)(2320,7111)(2321,7110)(2322,7109)(2323,7108)(2324,7107)(2325,7106)(2326,7105)(2327,7104)(2328,7103)(2329,7102)(2330,7101)(2331,7100)(2332,7099)(2333,7098)(2334,7097)(2335,7096)(2336,7095)(2337,7094)(2338,7093)(2339,7092)(2340,7091)(2341,7090)(2342,7089)(2343,7088)(2344,7087)(2345,7086)(2346,7085)(2347,7084)(2348,7083)(2349,7082)(2350,7081)(2351,7080)(2352,7079)(2353,7078)(2354,7077)(2355,7076)(2356,7075)(2357,7074)(2358,7073)(2359,7072)(2360,7071)(2361,7070)(2362,7069)(2363,7068)(2364,7067)(2365,7066)(2366,7065)(2367,7064)(2368,7063)(2369,7062)(2370,7061)(2371,7060)(2372,7059)(2373,7058)(2374,7057)(2375,7056)(2376,7055)(2377,7054)(2378,7053)(2379,7052)(2380,7051)(2381,7050)(2382,7049)(2383,7048)(2384,7047)(2385,7046)(2386,7045)(2387,7044)(2388,7043)(2389,7042)(2390,7041)(2391,7040)(2392,7039)(2393,7038)(2394,7037)(2395,7036)(2396,7035)(2397,7034)(2398,7033)(2399,7032)(2400,7031)(2401,7030)(2402,7029)(2403,7028)(2404,7027)(2405,7026)(2406,7025)(2407,7024)(2408,7023)(2409,7022)(2410,7021)(2411,7020)(2412,7019)(2413,7018)(2414,7017)(2415,7016)(2416,7015)(2417,7014)(2418,7013)(2419,7012)(2420,7011)(2421,7010)(2422,7009)(2423,7008)(2424,7007)(2425,7006)(2426,7005)(2427,7004)(2428,7003)(2429,7002)(2430,7001)(2431,7000)(2432,6999)(2433,6998)(2434,6997)(2435,6996)(2436,6995)(2437,6994)(2438,6993)(2439,6992)(2440,6991)(2441,6990)(2442,6989)(2443,6988)(2444,6987)(2445,6986)(2446,6985)(2447,6984)(2448,6983)(2449,6982)(2450,6981)(2451,6980)(2452,6979)(2453,6978)(2454,6977)(2455,6976)(2456,6975)(2457,6974)(2458,6973)(2459,6972)(2460,6971)(2461,6970)(2462,6969)(2463,6968)(2464,6967)(2465,6966)(2466,6965)(2467,6964)(2468,6963)(2469,6962)(2470,6961)(2471,6960)(2472,6959)(2473,6958)(2474,6957)(2475,6956)(2476,6955)(2477,6954)(2478,6953)(2479,6952)(2480,6951)(2481,6950)(2482,6949)(2483,6948)(2484,6947)(2485,6946)(2486,6945)(2487,6944)(2488,6943)(2489,6942)(2490,6941)(2491,6940)(2492,6939)(2493,6938)(2494,6937)(2495,6936)(2496,6935)(2497,6934)(2498,6933)(2499,6932)(2500,6931)(2501,6930)(2502,6929)(2503,6928)(2504,6927)(2505,6926)(2506,6925)(2507,6924)(2508,6923)(2509,6922)(2510,6921)(2511,6920)(2512,6919)(2513,6918)(2514,6917)(2515,6916)(2516,6915)(2517,6914)(2518,6913)(2519,6912)(2520,6911)(2521,6910)(2522,6909)(2523,6908)(2524,6907)(2525,6906)(2526,6905)(2527,6904)(2528,6903)(2529,6902)(2530,6901)(2531,6900)(2532,6899)(2533,6898)(2534,6897)(2535,6896)(2536,6895)(2537,6894)(2538,6893)(2539,6892)(2540,6891)(2541,6890)(2542,6889)(2543,6888)(2544,6887)(2545,6886)(2546,6885)(2547,6884)(2548,6883)(2549,6882)(2550,6881)(2551,6880)(2552,6879)(2553,6878)(2554,6877)(2555,6876)(2556,6875)(2557,6874)(2558,6873)(2559,6872)(2560,6871)(2561,6870)(2562,6869)(2563,6868)(2564,6867)(2565,6866)(2566,6865)(2567,6864)(2568,6863)(2569,6862)(2570,6861)(2571,6860)(2572,6859)(2573,6858)(2574,6857)(2575,6856)(2576,6855)(2577,6854)(2578,6853)(2579,6852)(2580,6851)(2581,6850)(2582,6849)(2583,6848)(2584,6847)(2585,6846)(2586,6845)(2587,6844)(2588,6843)(2589,6842)(2590,6841)(2591,6840)(2592,6839)(2593,6838)(2594,6837)(2595,6836)(2596,6835)(2597,6834)(2598,6833)(2599,6832)(2600,6831)(2601,6830)(2602,6829)(2603,6828)(2604,6827)(2605,6826)(2606,6825)(2607,6824)(2608,6823)(2609,6822)(2610,6821)(2611,6820)(2612,6819)(2613,6818)(2614,6817)(2615,6816)(2616,6815)(2617,6814)(2618,6813)(2619,6812)(2620,6811)(2621,6810)(2622,6809)(2623,6808)(2624,6807)(2625,6806)(2626,6805)(2627,6804)(2628,6803)(2629,6802)(2630,6801)(2631,6800)(2632,6799)(2633,6798)(2634,6797)(2635,6796)(2636,6795)(2637,6794)(2638,6793)(2639,6792)(2640,6791)(2641,6790)(2642,6789)(2643,6788)(2644,6787)(2645,6786)(2646,6785)(2647,6784)(2648,6783)(2649,6782)(2650,6781)(2651,6780)(2652,6779)(2653,6778)(2654,6777)(2655,6776)(2656,6775)(2657,6774)(2658,6773)(2659,6772)(2660,6771)(2661,6770)(2662,6769)(2663,6768)(2664,6767)(2665,6766)(2666,6765)(2667,6764)(2668,6763)(2669,6762)(2670,6761)(2671,6760)(2672,6759)(2673,6758)(2674,6757)(2675,6756)(2676,6755)(2677,6754)(2678,6753)(2679,6752)(2680,6751)(2681,6750)(2682,6749)(2683,6748)(2684,6747)(2685,6746)(2686,6745)(2687,6744)(2688,6743)(2689,6742)(2690,6741)(2691,6740)(2692,6739)(2693,6738)(2694,6737)(2695,6736)(2696,6735)(2697,6734)(2698,6733)(2699,6732)(2700,6731)(2701,6730)(2702,6729)(2703,6728)(2704,6727)(2705,6726)(2706,6725)(2707,6724)(2708,6723)(2709,6722)(2710,6721)(2711,6720)(2712,6719)(2713,6718)(2714,6717)(2715,6716)(2716,6715)(2717,6714)(2718,6713)(2719,6712)(2720,6711)(2721,6710)(2722,6709)(2723,6708)(2724,6707)(2725,6706)(2726,6705)(2727,6704)(2728,6703)(2729,6702)(2730,6701)(2731,6700)(2732,6699)(2733,6698)(2734,6697)(2735,6696)(2736,6695)(2737,6694)(2738,6693)(2739,6692)(2740,6691)(2741,6690)(2742,6689)(2743,6688)(2744,6687)(2745,6686)(2746,6685)(2747,6684)(2748,6683)(2749,6682)(2750,6681)(2751,6680)(2752,6679)(2753,6678)(2754,6677)(2755,6676)(2756,6675)(2757,6674)(2758,6673)(2759,6672)(2760,6671)(2761,6670)(2762,6669)(2763,6668)(2764,6667)(2765,6666)(2766,6665)(2767,6664)(2768,6663)(2769,6662)(2770,6661)(2771,6660)(2772,6659)(2773,6658)(2774,6657)(2775,6656)(2776,6655)(2777,6654)(2778,6653)(2779,6652)(2780,6651)(2781,6650)(2782,6649)(2783,6648)(2784,6647)(2785,6646)(2786,6645)(2787,6644)(2788,6643)(2789,6642)(2790,6641)(2791,6640)(2792,6639)(2793,6638)(2794,6637)(2795,6636)(2796,6635)(2797,6634)(2798,6633)(2799,6632)(2800,6631)(2801,6630)(2802,6629)(2803,6628)(2804,6627)(2805,6626)(2806,6625)(2807,6624)(2808,6623)(2809,6622)(2810,6621)(2811,6620)(2812,6619)(2813,6618)(2814,6617)(2815,6616)(2816,6615)(2817,6614)(2818,6613)(2819,6612)(2820,6611)(2821,6610)(2822,6609)(2823,6608)(2824,6607)(2825,6606)(2826,6605)(2827,6604)(2828,6603)(2829,6602)(2830,6601)(2831,6600)(2832,6599)(2833,6598)(2834,6597)(2835,6596)(2836,6595)(2837,6594)(2838,6593)(2839,6592)(2840,6591)(2841,6590)(2842,6589)(2843,6588)(2844,6587)(2845,6586)(2846,6585)(2847,6584)(2848,6583)(2849,6582)(2850,6581)(2851,6580)(2852,6579)(2853,6578)(2854,6577)(2855,6576)(2856,6575)(2857,6574)(2858,6573)(2859,6572)(2860,6571)(2861,6570)(2862,6569)(2863,6568)(2864,6567)(2865,6566)(2866,6565)(2867,6564)(2868,6563)(2869,6562)(2870,6561)(2871,6560)(2872,6559)(2873,6558)(2874,6557)(2875,6556)(2876,6555)(2877,6554)(2878,6553)(2879,6552)(2880,6551)(2881,6550)(2882,6549)(2883,6548)(2884,6547)(2885,6546)(2886,6545)(2887,6544)(2888,6543)(2889,6542)(2890,6541)(2891,6540)(2892,6539)(2893,6538)(2894,6537)(2895,6536)(2896,6535)(2897,6534)(2898,6533)(2899,6532)(2900,6531)(2901,6530)(2902,6529)(2903,6528)(2904,6527)(2905,6526)(2906,6525)(2907,6524)(2908,6523)(2909,6522)(2910,6521)(2911,6520)(2912,6519)(2913,6518)(2914,6517)(2915,6516)(2916,6515)(2917,6514)(2918,6513)(2919,6512)(2920,6511)(2921,6510)(2922,6509)(2923,6508)(2924,6507)(2925,6506)(2926,6505)(2927,6504)(2928,6503)(2929,6502)(2930,6501)(2931,6500)(2932,6499)(2933,6498)(2934,6497)(2935,6496)(2936,6495)(2937,6494)(2938,6493)(2939,6492)(2940,6491)(2941,6490)(2942,6489)(2943,6488)(2944,6487)(2945,6486)(2946,6485)(2947,6484)(2948,6483)(2949,6482)(2950,6481)(2951,6480)(2952,6479)(2953,6478)(2954,6477)(2955,6476)(2956,6475)(2957,6474)(2958,6473)(2959,6472)(2960,6471)(2961,6470)(2962,6469)(2963,6468)(2964,6467)(2965,6466)(2966,6465)(2967,6464)(2968,6463)(2969,6462)(2970,6461)(2971,6460)(2972,6459)(2973,6458)(2974,6457)(2975,6456)(2976,6455)(2977,6454)(2978,6453)(2979,6452)(2980,6451)(2981,6450)(2982,6449)(2983,6448)(2984,6447)(2985,6446)(2986,6445)(2987,6444)(2988,6443)(2989,6442)(2990,6441)(2991,6440)(2992,6439)(2993,6438)(2994,6437)(2995,6436)(2996,6435)(2997,6434)(2998,6433)(2999,6432)(3000,6431)(3001,6430)(3002,6429)(3003,6428)(3004,6427)(3005,6426)(3006,6425)(3007,6424)(3008,6423)(3009,6422)(3010,6421)(3011,6420)(3012,6419)(3013,6418)(3014,6417)(3015,6416)(3016,6415)(3017,6414)(3018,6413)(3019,6412)(3020,6411)(3021,6410)(3022,6409)(3023,6408)(3024,6407)(3025,6406)(3026,6405)(3027,6404)(3028,6403)(3029,6402)(3030,6401)(3031,6400)(3032,6399)(3033,6398)(3034,6397)(3035,6396)(3036,6395)(3037,6394)(3038,6393)(3039,6392)(3040,6391)(3041,6390)(3042,6389)(3043,6388)(3044,6387)(3045,6386)(3046,6385)(3047,6384)(3048,6383)(3049,6382)(3050,6381)(3051,6380)(3052,6379)(3053,6378)(3054,6377)(3055,6376)(3056,6375)(3057,6374)(3058,6373)(3059,6372)(3060,6371)(3061,6370)(3062,6369)(3063,6368)(3064,6367)(3065,6366)(3066,6365)(3067,6364)(3068,6363)(3069,6362)(3070,6361)(3071,6360)(3072,6359)(3073,6358)(3074,6357)(3075,6356)(3076,6355)(3077,6354)(3078,6353)(3079,6352)(3080,6351)(3081,6350)(3082,6349)(3083,6348)(3084,6347)(3085,6346)(3086,6345)(3087,6344)(3088,6343)(3089,6342)(3090,6341)(3091,6340)(3092,6339)(3093,6338)(3094,6337)(3095,6336)(3096,6335)(3097,6334)(3098,6333)(3099,6332)(3100,6331)(3101,6330)(3102,6329)(3103,6328)(3104,6327)(3105,6326)(3106,6325)(3107,6324)(3108,6323)(3109,6322)(3110,6321)(3111,6320)(3112,6319)(3113,6318)(3114,6317)(3115,6316)(3116,6315)(3117,6314)(3118,6313)(3119,6312)(3120,6311)(3121,6310)(3122,6309)(3123,6308)(3124,6307)(3125,6306)(3126,6305)(3127,6304)(3128,6303)(3129,6302)(3130,6301)(3131,6300)(3132,6299)(3133,6298)(3134,6297)(3135,6296)(3136,6295)(3137,6294)(3138,6293)(3139,6292)(3140,6291)(3141,6290)(3142,6289)(3143,6288)(3144,6287)(3145,6286)(3146,6285)(3147,6284)(3148,6283)(3149,6282)(3150,6281)(3151,6280)(3152,6279)(3153,6278)(3154,6277)(3155,6276)(3156,6275)(3157,6274)(3158,6273)(3159,6272)(3160,6271)(3161,6270)(3162,6269)(3163,6268)(3164,6267)(3165,6266)(3166,6265)(3167,6264)(3168,6263)(3169,6262)(3170,6261)(3171,6260)(3172,6259)(3173,6258)(3174,6257)(3175,6256)(3176,6255)(3177,6254)(3178,6253)(3179,6252)(3180,6251)(3181,6250)(3182,6249)(3183,6248)(3184,6247)(3185,6246)(3186,6245)(3187,6244)(3188,6243)(3189,6242)(3190,6241)(3191,6240)(3192,6239)(3193,6238)(3194,6237)(3195,6236)(3196,6235)(3197,6234)(3198,6233)(3199,6232)(3200,6231)(3201,6230)(3202,6229)(3203,6228)(3204,6227)(3205,6226)(3206,6225)(3207,6224)(3208,6223)(3209,6222)(3210,6221)(3211,6220)(3212,6219)(3213,6218)(3214,6217)(3215,6216)(3216,6215)(3217,6214)(3218,6213)(3219,6212)(3220,6211)(3221,6210)(3222,6209)(3223,6208)(3224,6207)(3225,6206)(3226,6205)(3227,6204)(3228,6203)(3229,6202)(3230,6201)(3231,6200)(3232,6199)(3233,6198)(3234,6197)(3235,6196)(3236,6195)(3237,6194)(3238,6193)(3239,6192)(3240,6191)(3241,6190)(3242,6189)(3243,6188)(3244,6187)(3245,6186)(3246,6185)(3247,6184)(3248,6183)(3249,6182)(3250,6181)(3251,6180)(3252,6179)(3253,6178)(3254,6177)(3255,6176)(3256,6175)(3257,6174)(3258,6173)(3259,6172)(3260,6171)(3261,6170)(3262,6169)(3263,6168)(3264,6167)(3265,6166)(3266,6165)(3267,6164)(3268,6163)(3269,6162)(3270,6161)(3271,6160)(3272,6159)(3273,6158)(3274,6157)(3275,6156)(3276,6155)(3277,6154)(3278,6153)(3279,6152)(3280,6151)(3281,6150)(3282,6149)(3283,6148)(3284,6147)(3285,6146)(3286,6145)(3287,6144)(3288,6143)(3289,6142)(3290,6141)(3291,6140)(3292,6139)(3293,6138)(3294,6137)(3295,6136)(3296,6135)(3297,6134)(3298,6133)(3299,6132)(3300,6131)(3301,6130)(3302,6129)(3303,6128)(3304,6127)(3305,6126)(3306,6125)(3307,6124)(3308,6123)(3309,6122)(3310,6121)(3311,6120)(3312,6119)(3313,6118)(3314,6117)(3315,6116)(3316,6115)(3317,6114)(3318,6113)(3319,6112)(3320,6111)(3321,6110)(3322,6109)(3323,6108)(3324,6107)(3325,6106)(3326,6105)(3327,6104)(3328,6103)(3329,6102)(3330,6101)(3331,6100)(3332,6099)(3333,6098)(3334,6097)(3335,6096)(3336,6095)(3337,6094)(3338,6093)(3339,6092)(3340,6091)(3341,6090)(3342,6089)(3343,6088)(3344,6087)(3345,6086)(3346,6085)(3347,6084)(3348,6083)(3349,6082)(3350,6081)(3351,6080)(3352,6079)(3353,6078)(3354,6077)(3355,6076)(3356,6075)(3357,6074)(3358,6073)(3359,6072)(3360,6071)(3361,6070)(3362,6069)(3363,6068)(3364,6067)(3365,6066)(3366,6065)(3367,6064)(3368,6063)(3369,6062)(3370,6061)(3371,6060)(3372,6059)(3373,6058)(3374,6057)(3375,6056)(3376,6055)(3377,6054)(3378,6053)(3379,6052)(3380,6051)(3381,6050)(3382,6049)(3383,6048)(3384,6047)(3385,6046)(3386,6045)(3387,6044)(3388,6043)(3389,6042)(3390,6041)(3391,6040)(3392,6039)(3393,6038)(3394,6037)(3395,6036)(3396,6035)(3397,6034)(3398,6033)(3399,6032)(3400,6031)(3401,6030)(3402,6029)(3403,6028)(3404,6027)(3405,6026)(3406,6025)(3407,6024)(3408,6023)(3409,6022)(3410,6021)(3411,6020)(3412,6019)(3413,6018)(3414,6017)(3415,6016)(3416,6015)(3417,6014)(3418,6013)(3419,6012)(3420,6011)(3421,6010)(3422,6009)(3423,6008)(3424,6007)(3425,6006)(3426,6005)(3427,6004)(3428,6003)(3429,6002)(3430,6001)(3431,6000)(3432,5999)(3433,5998)(3434,5997)(3435,5996)(3436,5995)(3437,5994)(3438,5993)(3439,5992)(3440,5991)(3441,5990)(3442,5989)(3443,5988)(3444,5987)(3445,5986)(3446,5985)(3447,5984)(3448,5983)(3449,5982)(3450,5981)(3451,5980)(3452,5979)(3453,5978)(3454,5977)(3455,5976)(3456,5975)(3457,5974)(3458,5973)(3459,5972)(3460,5971)(3461,5970)(3462,5969)(3463,5968)(3464,5967)(3465,5966)(3466,5965)(3467,5964)(3468,5963)(3469,5962)(3470,5961)(3471,5960)(3472,5959)(3473,5958)(3474,5957)(3475,5956)(3476,5955)(3477,5954)(3478,5953)(3479,5952)(3480,5951)(3481,5950)(3482,5949)(3483,5948)(3484,5947)(3485,5946)(3486,5945)(3487,5944)(3488,5943)(3489,5942)(3490,5941)(3491,5940)(3492,5939)(3493,5938)(3494,5937)(3495,5936)(3496,5935)(3497,5934)(3498,5933)(3499,5932)(3500,5931)(3501,5930)(3502,5929)(3503,5928)(3504,5927)(3505,5926)(3506,5925)(3507,5924)(3508,5923)(3509,5922)(3510,5921)(3511,5920)(3512,5919)(3513,5918)(3514,5917)(3515,5916)(3516,5915)(3517,5914)(3518,5913)(3519,5912)(3520,5911)(3521,5910)(3522,5909)(3523,5908)(3524,5907)(3525,5906)(3526,5905)(3527,5904)(3528,5903)(3529,5902)(3530,5901)(3531,5900)(3532,5899)(3533,5898)(3534,5897)(3535,5896)(3536,5895)(3537,5894)(3538,5893)(3539,5892)(3540,5891)(3541,5890)(3542,5889)(3543,5888)(3544,5887)(3545,5886)(3546,5885)(3547,5884)(3548,5883)(3549,5882)(3550,5881)(3551,5880)(3552,5879)(3553,5878)(3554,5877)(3555,5876)(3556,5875)(3557,5874)(3558,5873)(3559,5872)(3560,5871)(3561,5870)(3562,5869)(3563,5868)(3564,5867)(3565,5866)(3566,5865)(3567,5864)(3568,5863)(3569,5862)(3570,5861)(3571,5860)(3572,5859)(3573,5858)(3574,5857)(3575,5856)(3576,5855)(3577,5854)(3578,5853)(3579,5852)(3580,5851)(3581,5850)(3582,5849)(3583,5848)(3584,5847)(3585,5846)(3586,5845)(3587,5844)(3588,5843)(3589,5842)(3590,5841)(3591,5840)(3592,5839)(3593,5838)(3594,5837)(3595,5836)(3596,5835)(3597,5834)(3598,5833)(3599,5832)(3600,5831)(3601,5830)(3602,5829)(3603,5828)(3604,5827)(3605,5826)(3606,5825)(3607,5824)(3608,5823)(3609,5822)(3610,5821)(3611,5820)(3612,5819)(3613,5818)(3614,5817)(3615,5816)(3616,5815)(3617,5814)(3618,5813)(3619,5812)(3620,5811)(3621,5810)(3622,5809)(3623,5808)(3624,5807)(3625,5806)(3626,5805)(3627,5804)(3628,5803)(3629,5802)(3630,5801)(3631,5800)(3632,5799)(3633,5798)(3634,5797)(3635,5796)(3636,5795)(3637,5794)(3638,5793)(3639,5792)(3640,5791)(3641,5790)(3642,5789)(3643,5788)(3644,5787)(3645,5786)(3646,5785)(3647,5784)(3648,5783)(3649,5782)(3650,5781)(3651,5780)(3652,5779)(3653,5778)(3654,5777)(3655,5776)(3656,5775)(3657,5774)(3658,5773)(3659,5772)(3660,5771)(3661,5770)(3662,5769)(3663,5768)(3664,5767)(3665,5766)(3666,5765)(3667,5764)(3668,5763)(3669,5762)(3670,5761)(3671,5760)(3672,5759)(3673,5758)(3674,5757)(3675,5756)(3676,5755)(3677,5754)(3678,5753)(3679,5752)(3680,5751)(3681,5750)(3682,5749)(3683,5748)(3684,5747)(3685,5746)(3686,5745)(3687,5744)(3688,5743)(3689,5742)(3690,5741)(3691,5740)(3692,5739)(3693,5738)(3694,5737)(3695,5736)(3696,5735)(3697,5734)(3698,5733)(3699,5732)(3700,5731)(3701,5730)(3702,5729)(3703,5728)(3704,5727)(3705,5726)(3706,5725)(3707,5724)(3708,5723)(3709,5722)(3710,5721)(3711,5720)(3712,5719)(3713,5718)(3714,5717)(3715,5716)(3716,5715)(3717,5714)(3718,5713)(3719,5712)(3720,5711)(3721,5710)(3722,5709)(3723,5708)(3724,5707)(3725,5706)(3726,5705)(3727,5704)(3728,5703)(3729,5702)(3730,5701)(3731,5700)(3732,5699)(3733,5698)(3734,5697)(3735,5696)(3736,5695)(3737,5694)(3738,5693)(3739,5692)(3740,5691)(3741,5690)(3742,5689)(3743,5688)(3744,5687)(3745,5686)(3746,5685)(3747,5684)(3748,5683)(3749,5682)(3750,5681)(3751,5680)(3752,5679)(3753,5678)(3754,5677)(3755,5676)(3756,5675)(3757,5674)(3758,5673)(3759,5672)(3760,5671)(3761,5670)(3762,5669)(3763,5668)(3764,5667)(3765,5666)(3766,5665)(3767,5664)(3768,5663)(3769,5662)(3770,5661)(3771,5660)(3772,5659)(3773,5658)(3774,5657)(3775,5656)(3776,5655)(3777,5654)(3778,5653)(3779,5652)(3780,5651)(3781,5650)(3782,5649)(3783,5648)(3784,5647)(3785,5646)(3786,5645)(3787,5644)(3788,5643)(3789,5642)(3790,5641)(3791,5640)(3792,5639)(3793,5638)(3794,5637)(3795,5636)(3796,5635)(3797,5634)(3798,5633)(3799,5632)(3800,5631)(3801,5630)(3802,5629)(3803,5628)(3804,5627)(3805,5626)(3806,5625)(3807,5624)(3808,5623)(3809,5622)(3810,5621)(3811,5620)(3812,5619)(3813,5618)(3814,5617)(3815,5616)(3816,5615)(3817,5614)(3818,5613)(3819,5612)(3820,5611)(3821,5610)(3822,5609)(3823,5608)(3824,5607)(3825,5606)(3826,5605)(3827,5604)(3828,5603)(3829,5602)(3830,5601)(3831,5600)(3832,5599)(3833,5598)(3834,5597)(3835,5596)(3836,5595)(3837,5594)(3838,5593)(3839,5592)(3840,5591)(3841,5590)(3842,5589)(3843,5588)(3844,5587)(3845,5586)(3846,5585)(3847,5584)(3848,5583)(3849,5582)(3850,5581)(3851,5580)(3852,5579)(3853,5578)(3854,5577)(3855,5576)(3856,5575)(3857,5574)(3858,5573)(3859,5572)(3860,5571)(3861,5570)(3862,5569)(3863,5568)(3864,5567)(3865,5566)(3866,5565)(3867,5564)(3868,5563)(3869,5562)(3870,5561)(3871,5560)(3872,5559)(3873,5558)(3874,5557)(3875,5556)(3876,5555)(3877,5554)(3878,5553)(3879,5552)(3880,5551)(3881,5550)(3882,5549)(3883,5548)(3884,5547)(3885,5546)(3886,5545)(3887,5544)(3888,5543)(3889,5542)(3890,5541)(3891,5540)(3892,5539)(3893,5538)(3894,5537)(3895,5536)(3896,5535)(3897,5534)(3898,5533)(3899,5532)(3900,5531)(3901,5530)(3902,5529)(3903,5528)(3904,5527)(3905,5526)(3906,5525)(3907,5524)(3908,5523)(3909,5522)(3910,5521)(3911,5520)(3912,5519)(3913,5518)(3914,5517)(3915,5516)(3916,5515)(3917,5514)(3918,5513)(3919,5512)(3920,5511)(3921,5510)(3922,5509)(3923,5508)(3924,5507)(3925,5506)(3926,5505)(3927,5504)(3928,5503)(3929,5502)(3930,5501)(3931,5500)(3932,5499)(3933,5498)(3934,5497)(3935,5496)(3936,5495)(3937,5494)(3938,5493)(3939,5492)(3940,5491)(3941,5490)(3942,5489)(3943,5488)(3944,5487)(3945,5486)(3946,5485)(3947,5484)(3948,5483)(3949,5482)(3950,5481)(3951,5480)(3952,5479)(3953,5478)(3954,5477)(3955,5476)(3956,5475)(3957,5474)(3958,5473)(3959,5472)(3960,5471)(3961,5470)(3962,5469)(3963,5468)(3964,5467)(3965,5466)(3966,5465)(3967,5464)(3968,5463)(3969,5462)(3970,5461)(3971,5460)(3972,5459)(3973,5458)(3974,5457)(3975,5456)(3976,5455)(3977,5454)(3978,5453)(3979,5452)(3980,5451)(3981,5450)(3982,5449)(3983,5448)(3984,5447)(3985,5446)(3986,5445)(3987,5444)(3988,5443)(3989,5442)(3990,5441)(3991,5440)(3992,5439)(3993,5438)(3994,5437)(3995,5436)(3996,5435)(3997,5434)(3998,5433)(3999,5432)(4000,5431)(4001,5430)(4002,5429)(4003,5428)(4004,5427)(4005,5426)(4006,5425)(4007,5424)(4008,5423)(4009,5422)(4010,5421)(4011,5420)(4012,5419)(4013,5418)(4014,5417)(4015,5416)(4016,5415)(4017,5414)(4018,5413)(4019,5412)(4020,5411)(4021,5410)(4022,5409)(4023,5408)(4024,5407)(4025,5406)(4026,5405)(4027,5404)(4028,5403)(4029,5402)(4030,5401)(4031,5400)(4032,5399)(4033,5398)(4034,5397)(4035,5396)(4036,5395)(4037,5394)(4038,5393)(4039,5392)(4040,5391)(4041,5390)(4042,5389)(4043,5388)(4044,5387)(4045,5386)(4046,5385)(4047,5384)(4048,5383)(4049,5382)(4050,5381)(4051,5380)(4052,5379)(4053,5378)(4054,5377)(4055,5376)(4056,5375)(4057,5374)(4058,5373)(4059,5372)(4060,5371)(4061,5370)(4062,5369)(4063,5368)(4064,5367)(4065,5366)(4066,5365)(4067,5364)(4068,5363)(4069,5362)(4070,5361)(4071,5360)(4072,5359)(4073,5358)(4074,5357)(4075,5356)(4076,5355)(4077,5354)(4078,5353)(4079,5352)(4080,5351)(4081,5350)(4082,5349)(4083,5348)(4084,5347)(4085,5346)(4086,5345)(4087,5344)(4088,5343)(4089,5342)(4090,5341)(4091,5340)(4092,5339)(4093,5338)(4094,5337)(4095,5336)(4096,5335)(4097,5334)(4098,5333)(4099,5332)(4100,5331)(4101,5330)(4102,5329)(4103,5328)(4104,5327)(4105,5326)(4106,5325)(4107,5324)(4108,5323)(4109,5322)(4110,5321)(4111,5320)(4112,5319)(4113,5318)(4114,5317)(4115,5316)(4116,5315)(4117,5314)(4118,5313)(4119,5312)(4120,5311)(4121,5310)(4122,5309)(4123,5308)(4124,5307)(4125,5306)(4126,5305)(4127,5304)(4128,5303)(4129,5302)(4130,5301)(4131,5300)(4132,5299)(4133,5298)(4134,5297)(4135,5296)(4136,5295)(4137,5294)(4138,5293)(4139,5292)(4140,5291)(4141,5290)(4142,5289)(4143,5288)(4144,5287)(4145,5286)(4146,5285)(4147,5284)(4148,5283)(4149,5282)(4150,5281)(4151,5280)(4152,5279)(4153,5278)(4154,5277)(4155,5276)(4156,5275)(4157,5274)(4158,5273)(4159,5272)(4160,5271)(4161,5270)(4162,5269)(4163,5268)(4164,5267)(4165,5266)(4166,5265)(4167,5264)(4168,5263)(4169,5262)(4170,5261)(4171,5260)(4172,5259)(4173,5258)(4174,5257)(4175,5256)(4176,5255)(4177,5254)(4178,5253)(4179,5252)(4180,5251)(4181,5250)(4182,5249)(4183,5248)(4184,5247)(4185,5246)(4186,5245)(4187,5244)(4188,5243)(4189,5242)(4190,5241)(4191,5240)(4192,5239)(4193,5238)(4194,5237)(4195,5236)(4196,5235)(4197,5234)(4198,5233)(4199,5232)(4200,5231)(4201,5230)(4202,5229)(4203,5228)(4204,5227)(4205,5226)(4206,5225)(4207,5224)(4208,5223)(4209,5222)(4210,5221)(4211,5220)(4212,5219)(4213,5218)(4214,5217)(4215,5216)(4216,5215)(4217,5214)(4218,5213)(4219,5212)(4220,5211)(4221,5210)(4222,5209)(4223,5208)(4224,5207)(4225,5206)(4226,5205)(4227,5204)(4228,5203)(4229,5202)(4230,5201)(4231,5200)(4232,5199)(4233,5198)(4234,5197)(4235,5196)(4236,5195)(4237,5194)(4238,5193)(4239,5192)(4240,5191)(4241,5190)(4242,5189)(4243,5188)(4244,5187)(4245,5186)(4246,5185)(4247,5184)(4248,5183)(4249,5182)(4250,5181)(4251,5180)(4252,5179)(4253,5178)(4254,5177)(4255,5176)(4256,5175)(4257,5174)(4258,5173)(4259,5172)(4260,5171)(4261,5170)(4262,5169)(4263,5168)(4264,5167)(4265,5166)(4266,5165)(4267,5164)(4268,5163)(4269,5162)(4270,5161)(4271,5160)(4272,5159)(4273,5158)(4274,5157)(4275,5156)(4276,5155)(4277,5154)(4278,5153)(4279,5152)(4280,5151)(4281,5150)(4282,5149)(4283,5148)(4284,5147)(4285,5146)(4286,5145)(4287,5144)(4288,5143)(4289,5142)(4290,5141)(4291,5140)(4292,5139)(4293,5138)(4294,5137)(4295,5136)(4296,5135)(4297,5134)(4298,5133)(4299,5132)(4300,5131)(4301,5130)(4302,5129)(4303,5128)(4304,5127)(4305,5126)(4306,5125)(4307,5124)(4308,5123)(4309,5122)(4310,5121)(4311,5120)(4312,5119)(4313,5118)(4314,5117)(4315,5116)(4316,5115)(4317,5114)(4318,5113)(4319,5112)(4320,5111)(4321,5110)(4322,5109)(4323,5108)(4324,5107)(4325,5106)(4326,5105)(4327,5104)(4328,5103)(4329,5102)(4330,5101)(4331,5100)(4332,5099)(4333,5098)(4334,5097)(4335,5096)(4336,5095)(4337,5094)(4338,5093)(4339,5092)(4340,5091)(4341,5090)(4342,5089)(4343,5088)(4344,5087)(4345,5086)(4346,5085)(4347,5084)(4348,5083)(4349,5082)(4350,5081)(4351,5080)(4352,5079)(4353,5078)(4354,5077)(4355,5076)(4356,5075)(4357,5074)(4358,5073)(4359,5072)(4360,5071)(4361,5070)(4362,5069)(4363,5068)(4364,5067)(4365,5066)(4366,5065)(4367,5064)(4368,5063)(4369,5062)(4370,5061)(4371,5060)(4372,5059)(4373,5058)(4374,5057)(4375,5056)(4376,5055)(4377,5054)(4378,5053)(4379,5052)(4380,5051)(4381,5050)(4382,5049)(4383,5048)(4384,5047)(4385,5046)(4386,5045)(4387,5044)(4388,5043)(4389,5042)(4390,5041)(4391,5040)(4392,5039)(4393,5038)(4394,5037)(4395,5036)(4396,5035)(4397,5034)(4398,5033)(4399,5032)(4400,5031)(4401,5030)(4402,5029)(4403,5028)(4404,5027)(4405,5026)(4406,5025)(4407,5024)(4408,5023)(4409,5022)(4410,5021)(4411,5020)(4412,5019)(4413,5018)(4414,5017)(4415,5016)(4416,5015)(4417,5014)(4418,5013)(4419,5012)(4420,5011)(4421,5010)(4422,5009)(4423,5008)(4424,5007)(4425,5006)(4426,5005)(4427,5004)(4428,5003)(4429,5002)(4430,5001)(4431,5000)(4432,4999)(4433,4998)(4434,4997)(4435,4996)(4436,4995)(4437,4994)(4438,4993)(4439,4992)(4440,4991)(4441,4990)(4442,4989)(4443,4988)(4444,4987)(4445,4986)(4446,4985)(4447,4984)(4448,4983)(4449,4982)(4450,4981)(4451,4980)(4452,4979)(4453,4978)(4454,4977)(4455,4976)(4456,4975)(4457,4974)(4458,4973)(4459,4972)(4460,4971)(4461,4970)(4462,4969)(4463,4968)(4464,4967)(4465,4966)(4466,4965)(4467,4964)(4468,4963)(4469,4962)(4470,4961)(4471,4960)(4472,4959)(4473,4958)(4474,4957)(4475,4956)(4476,4955)(4477,4954)(4478,4953)(4479,4952)(4480,4951)(4481,4950)(4482,4949)(4483,4948)(4484,4947)(4485,4946)(4486,4945)(4487,4944)(4488,4943)(4489,4942)(4490,4941)(4491,4940)(4492,4939)(4493,4938)(4494,4937)(4495,4936)(4496,4935)(4497,4934)(4498,4933)(4499,4932)(4500,4931)(4501,4930)(4502,4929)(4503,4928)(4504,4927)(4505,4926)(4506,4925)(4507,4924)(4508,4923)(4509,4922)(4510,4921)(4511,4920)(4512,4919)(4513,4918)(4514,4917)(4515,4916)(4516,4915)(4517,4914)(4518,4913)(4519,4912)(4520,4911)(4521,4910)(4522,4909)(4523,4908)(4524,4907)(4525,4906)(4526,4905)(4527,4904)(4528,4903)(4529,4902)(4530,4901)(4531,4900)(4532,4899)(4533,4898)(4534,4897)(4535,4896)(4536,4895)(4537,4894)(4538,4893)(4539,4892)(4540,4891)(4541,4890)(4542,4889)(4543,4888)(4544,4887)(4545,4886)(4546,4885)(4547,4884)(4548,4883)(4549,4882)(4550,4881)(4551,4880)(4552,4879)(4553,4878)(4554,4877)(4555,4876)(4556,4875)(4557,4874)(4558,4873)(4559,4872)(4560,4871)(4561,4870)(4562,4869)(4563,4868)(4564,4867)(4565,4866)(4566,4865)(4567,4864)(4568,4863)(4569,4862)(4570,4861)(4571,4860)(4572,4859)(4573,4858)(4574,4857)(4575,4856)(4576,4855)(4577,4854)(4578,4853)(4579,4852)(4580,4851)(4581,4850)(4582,4849)(4583,4848)(4584,4847)(4585,4846)(4586,4845)(4587,4844)(4588,4843)(4589,4842)(4590,4841)(4591,4840)(4592,4839)(4593,4838)(4594,4837)(4595,4836)(4596,4835)(4597,4834)(4598,4833)(4599,4832)(4600,4831)(4601,4830)(4602,4829)(4603,4828)(4604,4827)(4605,4826)(4606,4825)(4607,4824)(4608,4823)(4609,4822)(4610,4821)(4611,4820)(4612,4819)(4613,4818)(4614,4817)(4615,4816)(4616,4815)(4617,4814)(4618,4813)(4619,4812)(4620,4811)(4621,4810)(4622,4809)(4623,4808)(4624,4807)(4625,4806)(4626,4805)(4627,4804)(4628,4803)(4629,4802)(4630,4801)(4631,4800)(4632,4799)(4633,4798)(4634,4797)(4635,4796)(4636,4795)(4637,4794)(4638,4793)(4639,4792)(4640,4791)(4641,4790)(4642,4789)(4643,4788)(4644,4787)(4645,4786)(4646,4785)(4647,4784)(4648,4783)(4649,4782)(4650,4781)(4651,4780)(4652,4779)(4653,4778)(4654,4777)(4655,4776)(4656,4775)(4657,4774)(4658,4773)(4659,4772)(4660,4771)(4661,4770)(4662,4769)(4663,4768)(4664,4767)(4665,4766)(4666,4765)(4667,4764)(4668,4763)(4669,4762)(4670,4761)(4671,4760)(4672,4759)(4673,4758)(4674,4757)(4675,4756)(4676,4755)(4677,4754)(4678,4753)(4679,4752)(4680,4751)(4681,4750)(4682,4749)(4683,4748)(4684,4747)(4685,4746)(4686,4745)(4687,4744)(4688,4743)(4689,4742)(4690,4741)(4691,4740)(4692,4739)(4693,4738)(4694,4737)(4695,4736)(4696,4735)(4697,4734)(4698,4733)(4699,4732)(4700,4731)(4701,4730)(4702,4729)(4703,4728)(4704,4727)(4705,4726)(4706,4725)(4707,4724)(4708,4723)(4709,4722)(4710,4721)(4711,4720)(4712,4719)(4713,4718)(4714,4717)(4715,4716)Polycyclic presentation:
2^2,9421|a^2=b,c^a=c^94209424 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37684, 1);