Finite Group DatabasebetaFinite Group Databasebeta| order | 30964 |
| automorphism | ? |
| homology | Abelianization (H1) = C4 · Schur multiplier (H2) = C1 |
| dicyclic | Dic7741 |
| derived, Sylow | C7741 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C2 | D7741 |
| commutator, hypocenter | C7741 | C4 |
| Fitting, socle, prime radical, cosocle | C2×C7741 | C2 |
| LCS | G ▷ C7741 | |
| UCS | C1 ◁ C2 | |
6 conjugacy classes of subgroups.
| minimal degree | μ(G) = 7745 |
| transitive degree | μt(G) = 30964 |
A minimal faithful permutation representation — 2 generators on 7745 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);(1,3,2,4)(6,7745)(7,7744)(8,7743)(9,7742)(10,7741)(11,7740)(12,7739)(13,7738)(14,7737)(15,7736)(16,7735)(17,7734)(18,7733)(19,7732)(20,7731)(21,7730)(22,7729)(23,7728)(24,7727)(25,7726)(26,7725)(27,7724)(28,7723)(29,7722)(30,7721)(31,7720)(32,7719)(33,7718)(34,7717)(35,7716)(36,7715)(37,7714)(38,7713)(39,7712)(40,7711)(41,7710)(42,7709)(43,7708)(44,7707)(45,7706)(46,7705)(47,7704)(48,7703)(49,7702)(50,7701)(51,7700)(52,7699)(53,7698)(54,7697)(55,7696)(56,7695)(57,7694)(58,7693)(59,7692)(60,7691)(61,7690)(62,7689)(63,7688)(64,7687)(65,7686)(66,7685)(67,7684)(68,7683)(69,7682)(70,7681)(71,7680)(72,7679)(73,7678)(74,7677)(75,7676)(76,7675)(77,7674)(78,7673)(79,7672)(80,7671)(81,7670)(82,7669)(83,7668)(84,7667)(85,7666)(86,7665)(87,7664)(88,7663)(89,7662)(90,7661)(91,7660)(92,7659)(93,7658)(94,7657)(95,7656)(96,7655)(97,7654)(98,7653)(99,7652)(100,7651)(101,7650)(102,7649)(103,7648)(104,7647)(105,7646)(106,7645)(107,7644)(108,7643)(109,7642)(110,7641)(111,7640)(112,7639)(113,7638)(114,7637)(115,7636)(116,7635)(117,7634)(118,7633)(119,7632)(120,7631)(121,7630)(122,7629)(123,7628)(124,7627)(125,7626)(126,7625)(127,7624)(128,7623)(129,7622)(130,7621)(131,7620)(132,7619)(133,7618)(134,7617)(135,7616)(136,7615)(137,7614)(138,7613)(139,7612)(140,7611)(141,7610)(142,7609)(143,7608)(144,7607)(145,7606)(146,7605)(147,7604)(148,7603)(149,7602)(150,7601)(151,7600)(152,7599)(153,7598)(154,7597)(155,7596)(156,7595)(157,7594)(158,7593)(159,7592)(160,7591)(161,7590)(162,7589)(163,7588)(164,7587)(165,7586)(166,7585)(167,7584)(168,7583)(169,7582)(170,7581)(171,7580)(172,7579)(173,7578)(174,7577)(175,7576)(176,7575)(177,7574)(178,7573)(179,7572)(180,7571)(181,7570)(182,7569)(183,7568)(184,7567)(185,7566)(186,7565)(187,7564)(188,7563)(189,7562)(190,7561)(191,7560)(192,7559)(193,7558)(194,7557)(195,7556)(196,7555)(197,7554)(198,7553)(199,7552)(200,7551)(201,7550)(202,7549)(203,7548)(204,7547)(205,7546)(206,7545)(207,7544)(208,7543)(209,7542)(210,7541)(211,7540)(212,7539)(213,7538)(214,7537)(215,7536)(216,7535)(217,7534)(218,7533)(219,7532)(220,7531)(221,7530)(222,7529)(223,7528)(224,7527)(225,7526)(226,7525)(227,7524)(228,7523)(229,7522)(230,7521)(231,7520)(232,7519)(233,7518)(234,7517)(235,7516)(236,7515)(237,7514)(238,7513)(239,7512)(240,7511)(241,7510)(242,7509)(243,7508)(244,7507)(245,7506)(246,7505)(247,7504)(248,7503)(249,7502)(250,7501)(251,7500)(252,7499)(253,7498)(254,7497)(255,7496)(256,7495)(257,7494)(258,7493)(259,7492)(260,7491)(261,7490)(262,7489)(263,7488)(264,7487)(265,7486)(266,7485)(267,7484)(268,7483)(269,7482)(270,7481)(271,7480)(272,7479)(273,7478)(274,7477)(275,7476)(276,7475)(277,7474)(278,7473)(279,7472)(280,7471)(281,7470)(282,7469)(283,7468)(284,7467)(285,7466)(286,7465)(287,7464)(288,7463)(289,7462)(290,7461)(291,7460)(292,7459)(293,7458)(294,7457)(295,7456)(296,7455)(297,7454)(298,7453)(299,7452)(300,7451)(301,7450)(302,7449)(303,7448)(304,7447)(305,7446)(306,7445)(307,7444)(308,7443)(309,7442)(310,7441)(311,7440)(312,7439)(313,7438)(314,7437)(315,7436)(316,7435)(317,7434)(318,7433)(319,7432)(320,7431)(321,7430)(322,7429)(323,7428)(324,7427)(325,7426)(326,7425)(327,7424)(328,7423)(329,7422)(330,7421)(331,7420)(332,7419)(333,7418)(334,7417)(335,7416)(336,7415)(337,7414)(338,7413)(339,7412)(340,7411)(341,7410)(342,7409)(343,7408)(344,7407)(345,7406)(346,7405)(347,7404)(348,7403)(349,7402)(350,7401)(351,7400)(352,7399)(353,7398)(354,7397)(355,7396)(356,7395)(357,7394)(358,7393)(359,7392)(360,7391)(361,7390)(362,7389)(363,7388)(364,7387)(365,7386)(366,7385)(367,7384)(368,7383)(369,7382)(370,7381)(371,7380)(372,7379)(373,7378)(374,7377)(375,7376)(376,7375)(377,7374)(378,7373)(379,7372)(380,7371)(381,7370)(382,7369)(383,7368)(384,7367)(385,7366)(386,7365)(387,7364)(388,7363)(389,7362)(390,7361)(391,7360)(392,7359)(393,7358)(394,7357)(395,7356)(396,7355)(397,7354)(398,7353)(399,7352)(400,7351)(401,7350)(402,7349)(403,7348)(404,7347)(405,7346)(406,7345)(407,7344)(408,7343)(409,7342)(410,7341)(411,7340)(412,7339)(413,7338)(414,7337)(415,7336)(416,7335)(417,7334)(418,7333)(419,7332)(420,7331)(421,7330)(422,7329)(423,7328)(424,7327)(425,7326)(426,7325)(427,7324)(428,7323)(429,7322)(430,7321)(431,7320)(432,7319)(433,7318)(434,7317)(435,7316)(436,7315)(437,7314)(438,7313)(439,7312)(440,7311)(441,7310)(442,7309)(443,7308)(444,7307)(445,7306)(446,7305)(447,7304)(448,7303)(449,7302)(450,7301)(451,7300)(452,7299)(453,7298)(454,7297)(455,7296)(456,7295)(457,7294)(458,7293)(459,7292)(460,7291)(461,7290)(462,7289)(463,7288)(464,7287)(465,7286)(466,7285)(467,7284)(468,7283)(469,7282)(470,7281)(471,7280)(472,7279)(473,7278)(474,7277)(475,7276)(476,7275)(477,7274)(478,7273)(479,7272)(480,7271)(481,7270)(482,7269)(483,7268)(484,7267)(485,7266)(486,7265)(487,7264)(488,7263)(489,7262)(490,7261)(491,7260)(492,7259)(493,7258)(494,7257)(495,7256)(496,7255)(497,7254)(498,7253)(499,7252)(500,7251)(501,7250)(502,7249)(503,7248)(504,7247)(505,7246)(506,7245)(507,7244)(508,7243)(509,7242)(510,7241)(511,7240)(512,7239)(513,7238)(514,7237)(515,7236)(516,7235)(517,7234)(518,7233)(519,7232)(520,7231)(521,7230)(522,7229)(523,7228)(524,7227)(525,7226)(526,7225)(527,7224)(528,7223)(529,7222)(530,7221)(531,7220)(532,7219)(533,7218)(534,7217)(535,7216)(536,7215)(537,7214)(538,7213)(539,7212)(540,7211)(541,7210)(542,7209)(543,7208)(544,7207)(545,7206)(546,7205)(547,7204)(548,7203)(549,7202)(550,7201)(551,7200)(552,7199)(553,7198)(554,7197)(555,7196)(556,7195)(557,7194)(558,7193)(559,7192)(560,7191)(561,7190)(562,7189)(563,7188)(564,7187)(565,7186)(566,7185)(567,7184)(568,7183)(569,7182)(570,7181)(571,7180)(572,7179)(573,7178)(574,7177)(575,7176)(576,7175)(577,7174)(578,7173)(579,7172)(580,7171)(581,7170)(582,7169)(583,7168)(584,7167)(585,7166)(586,7165)(587,7164)(588,7163)(589,7162)(590,7161)(591,7160)(592,7159)(593,7158)(594,7157)(595,7156)(596,7155)(597,7154)(598,7153)(599,7152)(600,7151)(601,7150)(602,7149)(603,7148)(604,7147)(605,7146)(606,7145)(607,7144)(608,7143)(609,7142)(610,7141)(611,7140)(612,7139)(613,7138)(614,7137)(615,7136)(616,7135)(617,7134)(618,7133)(619,7132)(620,7131)(621,7130)(622,7129)(623,7128)(624,7127)(625,7126)(626,7125)(627,7124)(628,7123)(629,7122)(630,7121)(631,7120)(632,7119)(633,7118)(634,7117)(635,7116)(636,7115)(637,7114)(638,7113)(639,7112)(640,7111)(641,7110)(642,7109)(643,7108)(644,7107)(645,7106)(646,7105)(647,7104)(648,7103)(649,7102)(650,7101)(651,7100)(652,7099)(653,7098)(654,7097)(655,7096)(656,7095)(657,7094)(658,7093)(659,7092)(660,7091)(661,7090)(662,7089)(663,7088)(664,7087)(665,7086)(666,7085)(667,7084)(668,7083)(669,7082)(670,7081)(671,7080)(672,7079)(673,7078)(674,7077)(675,7076)(676,7075)(677,7074)(678,7073)(679,7072)(680,7071)(681,7070)(682,7069)(683,7068)(684,7067)(685,7066)(686,7065)(687,7064)(688,7063)(689,7062)(690,7061)(691,7060)(692,7059)(693,7058)(694,7057)(695,7056)(696,7055)(697,7054)(698,7053)(699,7052)(700,7051)(701,7050)(702,7049)(703,7048)(704,7047)(705,7046)(706,7045)(707,7044)(708,7043)(709,7042)(710,7041)(711,7040)(712,7039)(713,7038)(714,7037)(715,7036)(716,7035)(717,7034)(718,7033)(719,7032)(720,7031)(721,7030)(722,7029)(723,7028)(724,7027)(725,7026)(726,7025)(727,7024)(728,7023)(729,7022)(730,7021)(731,7020)(732,7019)(733,7018)(734,7017)(735,7016)(736,7015)(737,7014)(738,7013)(739,7012)(740,7011)(741,7010)(742,7009)(743,7008)(744,7007)(745,7006)(746,7005)(747,7004)(748,7003)(749,7002)(750,7001)(751,7000)(752,6999)(753,6998)(754,6997)(755,6996)(756,6995)(757,6994)(758,6993)(759,6992)(760,6991)(761,6990)(762,6989)(763,6988)(764,6987)(765,6986)(766,6985)(767,6984)(768,6983)(769,6982)(770,6981)(771,6980)(772,6979)(773,6978)(774,6977)(775,6976)(776,6975)(777,6974)(778,6973)(779,6972)(780,6971)(781,6970)(782,6969)(783,6968)(784,6967)(785,6966)(786,6965)(787,6964)(788,6963)(789,6962)(790,6961)(791,6960)(792,6959)(793,6958)(794,6957)(795,6956)(796,6955)(797,6954)(798,6953)(799,6952)(800,6951)(801,6950)(802,6949)(803,6948)(804,6947)(805,6946)(806,6945)(807,6944)(808,6943)(809,6942)(810,6941)(811,6940)(812,6939)(813,6938)(814,6937)(815,6936)(816,6935)(817,6934)(818,6933)(819,6932)(820,6931)(821,6930)(822,6929)(823,6928)(824,6927)(825,6926)(826,6925)(827,6924)(828,6923)(829,6922)(830,6921)(831,6920)(832,6919)(833,6918)(834,6917)(835,6916)(836,6915)(837,6914)(838,6913)(839,6912)(840,6911)(841,6910)(842,6909)(843,6908)(844,6907)(845,6906)(846,6905)(847,6904)(848,6903)(849,6902)(850,6901)(851,6900)(852,6899)(853,6898)(854,6897)(855,6896)(856,6895)(857,6894)(858,6893)(859,6892)(860,6891)(861,6890)(862,6889)(863,6888)(864,6887)(865,6886)(866,6885)(867,6884)(868,6883)(869,6882)(870,6881)(871,6880)(872,6879)(873,6878)(874,6877)(875,6876)(876,6875)(877,6874)(878,6873)(879,6872)(880,6871)(881,6870)(882,6869)(883,6868)(884,6867)(885,6866)(886,6865)(887,6864)(888,6863)(889,6862)(890,6861)(891,6860)(892,6859)(893,6858)(894,6857)(895,6856)(896,6855)(897,6854)(898,6853)(899,6852)(900,6851)(901,6850)(902,6849)(903,6848)(904,6847)(905,6846)(906,6845)(907,6844)(908,6843)(909,6842)(910,6841)(911,6840)(912,6839)(913,6838)(914,6837)(915,6836)(916,6835)(917,6834)(918,6833)(919,6832)(920,6831)(921,6830)(922,6829)(923,6828)(924,6827)(925,6826)(926,6825)(927,6824)(928,6823)(929,6822)(930,6821)(931,6820)(932,6819)(933,6818)(934,6817)(935,6816)(936,6815)(937,6814)(938,6813)(939,6812)(940,6811)(941,6810)(942,6809)(943,6808)(944,6807)(945,6806)(946,6805)(947,6804)(948,6803)(949,6802)(950,6801)(951,6800)(952,6799)(953,6798)(954,6797)(955,6796)(956,6795)(957,6794)(958,6793)(959,6792)(960,6791)(961,6790)(962,6789)(963,6788)(964,6787)(965,6786)(966,6785)(967,6784)(968,6783)(969,6782)(970,6781)(971,6780)(972,6779)(973,6778)(974,6777)(975,6776)(976,6775)(977,6774)(978,6773)(979,6772)(980,6771)(981,6770)(982,6769)(983,6768)(984,6767)(985,6766)(986,6765)(987,6764)(988,6763)(989,6762)(990,6761)(991,6760)(992,6759)(993,6758)(994,6757)(995,6756)(996,6755)(997,6754)(998,6753)(999,6752)(1000,6751)(1001,6750)(1002,6749)(1003,6748)(1004,6747)(1005,6746)(1006,6745)(1007,6744)(1008,6743)(1009,6742)(1010,6741)(1011,6740)(1012,6739)(1013,6738)(1014,6737)(1015,6736)(1016,6735)(1017,6734)(1018,6733)(1019,6732)(1020,6731)(1021,6730)(1022,6729)(1023,6728)(1024,6727)(1025,6726)(1026,6725)(1027,6724)(1028,6723)(1029,6722)(1030,6721)(1031,6720)(1032,6719)(1033,6718)(1034,6717)(1035,6716)(1036,6715)(1037,6714)(1038,6713)(1039,6712)(1040,6711)(1041,6710)(1042,6709)(1043,6708)(1044,6707)(1045,6706)(1046,6705)(1047,6704)(1048,6703)(1049,6702)(1050,6701)(1051,6700)(1052,6699)(1053,6698)(1054,6697)(1055,6696)(1056,6695)(1057,6694)(1058,6693)(1059,6692)(1060,6691)(1061,6690)(1062,6689)(1063,6688)(1064,6687)(1065,6686)(1066,6685)(1067,6684)(1068,6683)(1069,6682)(1070,6681)(1071,6680)(1072,6679)(1073,6678)(1074,6677)(1075,6676)(1076,6675)(1077,6674)(1078,6673)(1079,6672)(1080,6671)(1081,6670)(1082,6669)(1083,6668)(1084,6667)(1085,6666)(1086,6665)(1087,6664)(1088,6663)(1089,6662)(1090,6661)(1091,6660)(1092,6659)(1093,6658)(1094,6657)(1095,6656)(1096,6655)(1097,6654)(1098,6653)(1099,6652)(1100,6651)(1101,6650)(1102,6649)(1103,6648)(1104,6647)(1105,6646)(1106,6645)(1107,6644)(1108,6643)(1109,6642)(1110,6641)(1111,6640)(1112,6639)(1113,6638)(1114,6637)(1115,6636)(1116,6635)(1117,6634)(1118,6633)(1119,6632)(1120,6631)(1121,6630)(1122,6629)(1123,6628)(1124,6627)(1125,6626)(1126,6625)(1127,6624)(1128,6623)(1129,6622)(1130,6621)(1131,6620)(1132,6619)(1133,6618)(1134,6617)(1135,6616)(1136,6615)(1137,6614)(1138,6613)(1139,6612)(1140,6611)(1141,6610)(1142,6609)(1143,6608)(1144,6607)(1145,6606)(1146,6605)(1147,6604)(1148,6603)(1149,6602)(1150,6601)(1151,6600)(1152,6599)(1153,6598)(1154,6597)(1155,6596)(1156,6595)(1157,6594)(1158,6593)(1159,6592)(1160,6591)(1161,6590)(1162,6589)(1163,6588)(1164,6587)(1165,6586)(1166,6585)(1167,6584)(1168,6583)(1169,6582)(1170,6581)(1171,6580)(1172,6579)(1173,6578)(1174,6577)(1175,6576)(1176,6575)(1177,6574)(1178,6573)(1179,6572)(1180,6571)(1181,6570)(1182,6569)(1183,6568)(1184,6567)(1185,6566)(1186,6565)(1187,6564)(1188,6563)(1189,6562)(1190,6561)(1191,6560)(1192,6559)(1193,6558)(1194,6557)(1195,6556)(1196,6555)(1197,6554)(1198,6553)(1199,6552)(1200,6551)(1201,6550)(1202,6549)(1203,6548)(1204,6547)(1205,6546)(1206,6545)(1207,6544)(1208,6543)(1209,6542)(1210,6541)(1211,6540)(1212,6539)(1213,6538)(1214,6537)(1215,6536)(1216,6535)(1217,6534)(1218,6533)(1219,6532)(1220,6531)(1221,6530)(1222,6529)(1223,6528)(1224,6527)(1225,6526)(1226,6525)(1227,6524)(1228,6523)(1229,6522)(1230,6521)(1231,6520)(1232,6519)(1233,6518)(1234,6517)(1235,6516)(1236,6515)(1237,6514)(1238,6513)(1239,6512)(1240,6511)(1241,6510)(1242,6509)(1243,6508)(1244,6507)(1245,6506)(1246,6505)(1247,6504)(1248,6503)(1249,6502)(1250,6501)(1251,6500)(1252,6499)(1253,6498)(1254,6497)(1255,6496)(1256,6495)(1257,6494)(1258,6493)(1259,6492)(1260,6491)(1261,6490)(1262,6489)(1263,6488)(1264,6487)(1265,6486)(1266,6485)(1267,6484)(1268,6483)(1269,6482)(1270,6481)(1271,6480)(1272,6479)(1273,6478)(1274,6477)(1275,6476)(1276,6475)(1277,6474)(1278,6473)(1279,6472)(1280,6471)(1281,6470)(1282,6469)(1283,6468)(1284,6467)(1285,6466)(1286,6465)(1287,6464)(1288,6463)(1289,6462)(1290,6461)(1291,6460)(1292,6459)(1293,6458)(1294,6457)(1295,6456)(1296,6455)(1297,6454)(1298,6453)(1299,6452)(1300,6451)(1301,6450)(1302,6449)(1303,6448)(1304,6447)(1305,6446)(1306,6445)(1307,6444)(1308,6443)(1309,6442)(1310,6441)(1311,6440)(1312,6439)(1313,6438)(1314,6437)(1315,6436)(1316,6435)(1317,6434)(1318,6433)(1319,6432)(1320,6431)(1321,6430)(1322,6429)(1323,6428)(1324,6427)(1325,6426)(1326,6425)(1327,6424)(1328,6423)(1329,6422)(1330,6421)(1331,6420)(1332,6419)(1333,6418)(1334,6417)(1335,6416)(1336,6415)(1337,6414)(1338,6413)(1339,6412)(1340,6411)(1341,6410)(1342,6409)(1343,6408)(1344,6407)(1345,6406)(1346,6405)(1347,6404)(1348,6403)(1349,6402)(1350,6401)(1351,6400)(1352,6399)(1353,6398)(1354,6397)(1355,6396)(1356,6395)(1357,6394)(1358,6393)(1359,6392)(1360,6391)(1361,6390)(1362,6389)(1363,6388)(1364,6387)(1365,6386)(1366,6385)(1367,6384)(1368,6383)(1369,6382)(1370,6381)(1371,6380)(1372,6379)(1373,6378)(1374,6377)(1375,6376)(1376,6375)(1377,6374)(1378,6373)(1379,6372)(1380,6371)(1381,6370)(1382,6369)(1383,6368)(1384,6367)(1385,6366)(1386,6365)(1387,6364)(1388,6363)(1389,6362)(1390,6361)(1391,6360)(1392,6359)(1393,6358)(1394,6357)(1395,6356)(1396,6355)(1397,6354)(1398,6353)(1399,6352)(1400,6351)(1401,6350)(1402,6349)(1403,6348)(1404,6347)(1405,6346)(1406,6345)(1407,6344)(1408,6343)(1409,6342)(1410,6341)(1411,6340)(1412,6339)(1413,6338)(1414,6337)(1415,6336)(1416,6335)(1417,6334)(1418,6333)(1419,6332)(1420,6331)(1421,6330)(1422,6329)(1423,6328)(1424,6327)(1425,6326)(1426,6325)(1427,6324)(1428,6323)(1429,6322)(1430,6321)(1431,6320)(1432,6319)(1433,6318)(1434,6317)(1435,6316)(1436,6315)(1437,6314)(1438,6313)(1439,6312)(1440,6311)(1441,6310)(1442,6309)(1443,6308)(1444,6307)(1445,6306)(1446,6305)(1447,6304)(1448,6303)(1449,6302)(1450,6301)(1451,6300)(1452,6299)(1453,6298)(1454,6297)(1455,6296)(1456,6295)(1457,6294)(1458,6293)(1459,6292)(1460,6291)(1461,6290)(1462,6289)(1463,6288)(1464,6287)(1465,6286)(1466,6285)(1467,6284)(1468,6283)(1469,6282)(1470,6281)(1471,6280)(1472,6279)(1473,6278)(1474,6277)(1475,6276)(1476,6275)(1477,6274)(1478,6273)(1479,6272)(1480,6271)(1481,6270)(1482,6269)(1483,6268)(1484,6267)(1485,6266)(1486,6265)(1487,6264)(1488,6263)(1489,6262)(1490,6261)(1491,6260)(1492,6259)(1493,6258)(1494,6257)(1495,6256)(1496,6255)(1497,6254)(1498,6253)(1499,6252)(1500,6251)(1501,6250)(1502,6249)(1503,6248)(1504,6247)(1505,6246)(1506,6245)(1507,6244)(1508,6243)(1509,6242)(1510,6241)(1511,6240)(1512,6239)(1513,6238)(1514,6237)(1515,6236)(1516,6235)(1517,6234)(1518,6233)(1519,6232)(1520,6231)(1521,6230)(1522,6229)(1523,6228)(1524,6227)(1525,6226)(1526,6225)(1527,6224)(1528,6223)(1529,6222)(1530,6221)(1531,6220)(1532,6219)(1533,6218)(1534,6217)(1535,6216)(1536,6215)(1537,6214)(1538,6213)(1539,6212)(1540,6211)(1541,6210)(1542,6209)(1543,6208)(1544,6207)(1545,6206)(1546,6205)(1547,6204)(1548,6203)(1549,6202)(1550,6201)(1551,6200)(1552,6199)(1553,6198)(1554,6197)(1555,6196)(1556,6195)(1557,6194)(1558,6193)(1559,6192)(1560,6191)(1561,6190)(1562,6189)(1563,6188)(1564,6187)(1565,6186)(1566,6185)(1567,6184)(1568,6183)(1569,6182)(1570,6181)(1571,6180)(1572,6179)(1573,6178)(1574,6177)(1575,6176)(1576,6175)(1577,6174)(1578,6173)(1579,6172)(1580,6171)(1581,6170)(1582,6169)(1583,6168)(1584,6167)(1585,6166)(1586,6165)(1587,6164)(1588,6163)(1589,6162)(1590,6161)(1591,6160)(1592,6159)(1593,6158)(1594,6157)(1595,6156)(1596,6155)(1597,6154)(1598,6153)(1599,6152)(1600,6151)(1601,6150)(1602,6149)(1603,6148)(1604,6147)(1605,6146)(1606,6145)(1607,6144)(1608,6143)(1609,6142)(1610,6141)(1611,6140)(1612,6139)(1613,6138)(1614,6137)(1615,6136)(1616,6135)(1617,6134)(1618,6133)(1619,6132)(1620,6131)(1621,6130)(1622,6129)(1623,6128)(1624,6127)(1625,6126)(1626,6125)(1627,6124)(1628,6123)(1629,6122)(1630,6121)(1631,6120)(1632,6119)(1633,6118)(1634,6117)(1635,6116)(1636,6115)(1637,6114)(1638,6113)(1639,6112)(1640,6111)(1641,6110)(1642,6109)(1643,6108)(1644,6107)(1645,6106)(1646,6105)(1647,6104)(1648,6103)(1649,6102)(1650,6101)(1651,6100)(1652,6099)(1653,6098)(1654,6097)(1655,6096)(1656,6095)(1657,6094)(1658,6093)(1659,6092)(1660,6091)(1661,6090)(1662,6089)(1663,6088)(1664,6087)(1665,6086)(1666,6085)(1667,6084)(1668,6083)(1669,6082)(1670,6081)(1671,6080)(1672,6079)(1673,6078)(1674,6077)(1675,6076)(1676,6075)(1677,6074)(1678,6073)(1679,6072)(1680,6071)(1681,6070)(1682,6069)(1683,6068)(1684,6067)(1685,6066)(1686,6065)(1687,6064)(1688,6063)(1689,6062)(1690,6061)(1691,6060)(1692,6059)(1693,6058)(1694,6057)(1695,6056)(1696,6055)(1697,6054)(1698,6053)(1699,6052)(1700,6051)(1701,6050)(1702,6049)(1703,6048)(1704,6047)(1705,6046)(1706,6045)(1707,6044)(1708,6043)(1709,6042)(1710,6041)(1711,6040)(1712,6039)(1713,6038)(1714,6037)(1715,6036)(1716,6035)(1717,6034)(1718,6033)(1719,6032)(1720,6031)(1721,6030)(1722,6029)(1723,6028)(1724,6027)(1725,6026)(1726,6025)(1727,6024)(1728,6023)(1729,6022)(1730,6021)(1731,6020)(1732,6019)(1733,6018)(1734,6017)(1735,6016)(1736,6015)(1737,6014)(1738,6013)(1739,6012)(1740,6011)(1741,6010)(1742,6009)(1743,6008)(1744,6007)(1745,6006)(1746,6005)(1747,6004)(1748,6003)(1749,6002)(1750,6001)(1751,6000)(1752,5999)(1753,5998)(1754,5997)(1755,5996)(1756,5995)(1757,5994)(1758,5993)(1759,5992)(1760,5991)(1761,5990)(1762,5989)(1763,5988)(1764,5987)(1765,5986)(1766,5985)(1767,5984)(1768,5983)(1769,5982)(1770,5981)(1771,5980)(1772,5979)(1773,5978)(1774,5977)(1775,5976)(1776,5975)(1777,5974)(1778,5973)(1779,5972)(1780,5971)(1781,5970)(1782,5969)(1783,5968)(1784,5967)(1785,5966)(1786,5965)(1787,5964)(1788,5963)(1789,5962)(1790,5961)(1791,5960)(1792,5959)(1793,5958)(1794,5957)(1795,5956)(1796,5955)(1797,5954)(1798,5953)(1799,5952)(1800,5951)(1801,5950)(1802,5949)(1803,5948)(1804,5947)(1805,5946)(1806,5945)(1807,5944)(1808,5943)(1809,5942)(1810,5941)(1811,5940)(1812,5939)(1813,5938)(1814,5937)(1815,5936)(1816,5935)(1817,5934)(1818,5933)(1819,5932)(1820,5931)(1821,5930)(1822,5929)(1823,5928)(1824,5927)(1825,5926)(1826,5925)(1827,5924)(1828,5923)(1829,5922)(1830,5921)(1831,5920)(1832,5919)(1833,5918)(1834,5917)(1835,5916)(1836,5915)(1837,5914)(1838,5913)(1839,5912)(1840,5911)(1841,5910)(1842,5909)(1843,5908)(1844,5907)(1845,5906)(1846,5905)(1847,5904)(1848,5903)(1849,5902)(1850,5901)(1851,5900)(1852,5899)(1853,5898)(1854,5897)(1855,5896)(1856,5895)(1857,5894)(1858,5893)(1859,5892)(1860,5891)(1861,5890)(1862,5889)(1863,5888)(1864,5887)(1865,5886)(1866,5885)(1867,5884)(1868,5883)(1869,5882)(1870,5881)(1871,5880)(1872,5879)(1873,5878)(1874,5877)(1875,5876)(1876,5875)(1877,5874)(1878,5873)(1879,5872)(1880,5871)(1881,5870)(1882,5869)(1883,5868)(1884,5867)(1885,5866)(1886,5865)(1887,5864)(1888,5863)(1889,5862)(1890,5861)(1891,5860)(1892,5859)(1893,5858)(1894,5857)(1895,5856)(1896,5855)(1897,5854)(1898,5853)(1899,5852)(1900,5851)(1901,5850)(1902,5849)(1903,5848)(1904,5847)(1905,5846)(1906,5845)(1907,5844)(1908,5843)(1909,5842)(1910,5841)(1911,5840)(1912,5839)(1913,5838)(1914,5837)(1915,5836)(1916,5835)(1917,5834)(1918,5833)(1919,5832)(1920,5831)(1921,5830)(1922,5829)(1923,5828)(1924,5827)(1925,5826)(1926,5825)(1927,5824)(1928,5823)(1929,5822)(1930,5821)(1931,5820)(1932,5819)(1933,5818)(1934,5817)(1935,5816)(1936,5815)(1937,5814)(1938,5813)(1939,5812)(1940,5811)(1941,5810)(1942,5809)(1943,5808)(1944,5807)(1945,5806)(1946,5805)(1947,5804)(1948,5803)(1949,5802)(1950,5801)(1951,5800)(1952,5799)(1953,5798)(1954,5797)(1955,5796)(1956,5795)(1957,5794)(1958,5793)(1959,5792)(1960,5791)(1961,5790)(1962,5789)(1963,5788)(1964,5787)(1965,5786)(1966,5785)(1967,5784)(1968,5783)(1969,5782)(1970,5781)(1971,5780)(1972,5779)(1973,5778)(1974,5777)(1975,5776)(1976,5775)(1977,5774)(1978,5773)(1979,5772)(1980,5771)(1981,5770)(1982,5769)(1983,5768)(1984,5767)(1985,5766)(1986,5765)(1987,5764)(1988,5763)(1989,5762)(1990,5761)(1991,5760)(1992,5759)(1993,5758)(1994,5757)(1995,5756)(1996,5755)(1997,5754)(1998,5753)(1999,5752)(2000,5751)(2001,5750)(2002,5749)(2003,5748)(2004,5747)(2005,5746)(2006,5745)(2007,5744)(2008,5743)(2009,5742)(2010,5741)(2011,5740)(2012,5739)(2013,5738)(2014,5737)(2015,5736)(2016,5735)(2017,5734)(2018,5733)(2019,5732)(2020,5731)(2021,5730)(2022,5729)(2023,5728)(2024,5727)(2025,5726)(2026,5725)(2027,5724)(2028,5723)(2029,5722)(2030,5721)(2031,5720)(2032,5719)(2033,5718)(2034,5717)(2035,5716)(2036,5715)(2037,5714)(2038,5713)(2039,5712)(2040,5711)(2041,5710)(2042,5709)(2043,5708)(2044,5707)(2045,5706)(2046,5705)(2047,5704)(2048,5703)(2049,5702)(2050,5701)(2051,5700)(2052,5699)(2053,5698)(2054,5697)(2055,5696)(2056,5695)(2057,5694)(2058,5693)(2059,5692)(2060,5691)(2061,5690)(2062,5689)(2063,5688)(2064,5687)(2065,5686)(2066,5685)(2067,5684)(2068,5683)(2069,5682)(2070,5681)(2071,5680)(2072,5679)(2073,5678)(2074,5677)(2075,5676)(2076,5675)(2077,5674)(2078,5673)(2079,5672)(2080,5671)(2081,5670)(2082,5669)(2083,5668)(2084,5667)(2085,5666)(2086,5665)(2087,5664)(2088,5663)(2089,5662)(2090,5661)(2091,5660)(2092,5659)(2093,5658)(2094,5657)(2095,5656)(2096,5655)(2097,5654)(2098,5653)(2099,5652)(2100,5651)(2101,5650)(2102,5649)(2103,5648)(2104,5647)(2105,5646)(2106,5645)(2107,5644)(2108,5643)(2109,5642)(2110,5641)(2111,5640)(2112,5639)(2113,5638)(2114,5637)(2115,5636)(2116,5635)(2117,5634)(2118,5633)(2119,5632)(2120,5631)(2121,5630)(2122,5629)(2123,5628)(2124,5627)(2125,5626)(2126,5625)(2127,5624)(2128,5623)(2129,5622)(2130,5621)(2131,5620)(2132,5619)(2133,5618)(2134,5617)(2135,5616)(2136,5615)(2137,5614)(2138,5613)(2139,5612)(2140,5611)(2141,5610)(2142,5609)(2143,5608)(2144,5607)(2145,5606)(2146,5605)(2147,5604)(2148,5603)(2149,5602)(2150,5601)(2151,5600)(2152,5599)(2153,5598)(2154,5597)(2155,5596)(2156,5595)(2157,5594)(2158,5593)(2159,5592)(2160,5591)(2161,5590)(2162,5589)(2163,5588)(2164,5587)(2165,5586)(2166,5585)(2167,5584)(2168,5583)(2169,5582)(2170,5581)(2171,5580)(2172,5579)(2173,5578)(2174,5577)(2175,5576)(2176,5575)(2177,5574)(2178,5573)(2179,5572)(2180,5571)(2181,5570)(2182,5569)(2183,5568)(2184,5567)(2185,5566)(2186,5565)(2187,5564)(2188,5563)(2189,5562)(2190,5561)(2191,5560)(2192,5559)(2193,5558)(2194,5557)(2195,5556)(2196,5555)(2197,5554)(2198,5553)(2199,5552)(2200,5551)(2201,5550)(2202,5549)(2203,5548)(2204,5547)(2205,5546)(2206,5545)(2207,5544)(2208,5543)(2209,5542)(2210,5541)(2211,5540)(2212,5539)(2213,5538)(2214,5537)(2215,5536)(2216,5535)(2217,5534)(2218,5533)(2219,5532)(2220,5531)(2221,5530)(2222,5529)(2223,5528)(2224,5527)(2225,5526)(2226,5525)(2227,5524)(2228,5523)(2229,5522)(2230,5521)(2231,5520)(2232,5519)(2233,5518)(2234,5517)(2235,5516)(2236,5515)(2237,5514)(2238,5513)(2239,5512)(2240,5511)(2241,5510)(2242,5509)(2243,5508)(2244,5507)(2245,5506)(2246,5505)(2247,5504)(2248,5503)(2249,5502)(2250,5501)(2251,5500)(2252,5499)(2253,5498)(2254,5497)(2255,5496)(2256,5495)(2257,5494)(2258,5493)(2259,5492)(2260,5491)(2261,5490)(2262,5489)(2263,5488)(2264,5487)(2265,5486)(2266,5485)(2267,5484)(2268,5483)(2269,5482)(2270,5481)(2271,5480)(2272,5479)(2273,5478)(2274,5477)(2275,5476)(2276,5475)(2277,5474)(2278,5473)(2279,5472)(2280,5471)(2281,5470)(2282,5469)(2283,5468)(2284,5467)(2285,5466)(2286,5465)(2287,5464)(2288,5463)(2289,5462)(2290,5461)(2291,5460)(2292,5459)(2293,5458)(2294,5457)(2295,5456)(2296,5455)(2297,5454)(2298,5453)(2299,5452)(2300,5451)(2301,5450)(2302,5449)(2303,5448)(2304,5447)(2305,5446)(2306,5445)(2307,5444)(2308,5443)(2309,5442)(2310,5441)(2311,5440)(2312,5439)(2313,5438)(2314,5437)(2315,5436)(2316,5435)(2317,5434)(2318,5433)(2319,5432)(2320,5431)(2321,5430)(2322,5429)(2323,5428)(2324,5427)(2325,5426)(2326,5425)(2327,5424)(2328,5423)(2329,5422)(2330,5421)(2331,5420)(2332,5419)(2333,5418)(2334,5417)(2335,5416)(2336,5415)(2337,5414)(2338,5413)(2339,5412)(2340,5411)(2341,5410)(2342,5409)(2343,5408)(2344,5407)(2345,5406)(2346,5405)(2347,5404)(2348,5403)(2349,5402)(2350,5401)(2351,5400)(2352,5399)(2353,5398)(2354,5397)(2355,5396)(2356,5395)(2357,5394)(2358,5393)(2359,5392)(2360,5391)(2361,5390)(2362,5389)(2363,5388)(2364,5387)(2365,5386)(2366,5385)(2367,5384)(2368,5383)(2369,5382)(2370,5381)(2371,5380)(2372,5379)(2373,5378)(2374,5377)(2375,5376)(2376,5375)(2377,5374)(2378,5373)(2379,5372)(2380,5371)(2381,5370)(2382,5369)(2383,5368)(2384,5367)(2385,5366)(2386,5365)(2387,5364)(2388,5363)(2389,5362)(2390,5361)(2391,5360)(2392,5359)(2393,5358)(2394,5357)(2395,5356)(2396,5355)(2397,5354)(2398,5353)(2399,5352)(2400,5351)(2401,5350)(2402,5349)(2403,5348)(2404,5347)(2405,5346)(2406,5345)(2407,5344)(2408,5343)(2409,5342)(2410,5341)(2411,5340)(2412,5339)(2413,5338)(2414,5337)(2415,5336)(2416,5335)(2417,5334)(2418,5333)(2419,5332)(2420,5331)(2421,5330)(2422,5329)(2423,5328)(2424,5327)(2425,5326)(2426,5325)(2427,5324)(2428,5323)(2429,5322)(2430,5321)(2431,5320)(2432,5319)(2433,5318)(2434,5317)(2435,5316)(2436,5315)(2437,5314)(2438,5313)(2439,5312)(2440,5311)(2441,5310)(2442,5309)(2443,5308)(2444,5307)(2445,5306)(2446,5305)(2447,5304)(2448,5303)(2449,5302)(2450,5301)(2451,5300)(2452,5299)(2453,5298)(2454,5297)(2455,5296)(2456,5295)(2457,5294)(2458,5293)(2459,5292)(2460,5291)(2461,5290)(2462,5289)(2463,5288)(2464,5287)(2465,5286)(2466,5285)(2467,5284)(2468,5283)(2469,5282)(2470,5281)(2471,5280)(2472,5279)(2473,5278)(2474,5277)(2475,5276)(2476,5275)(2477,5274)(2478,5273)(2479,5272)(2480,5271)(2481,5270)(2482,5269)(2483,5268)(2484,5267)(2485,5266)(2486,5265)(2487,5264)(2488,5263)(2489,5262)(2490,5261)(2491,5260)(2492,5259)(2493,5258)(2494,5257)(2495,5256)(2496,5255)(2497,5254)(2498,5253)(2499,5252)(2500,5251)(2501,5250)(2502,5249)(2503,5248)(2504,5247)(2505,5246)(2506,5245)(2507,5244)(2508,5243)(2509,5242)(2510,5241)(2511,5240)(2512,5239)(2513,5238)(2514,5237)(2515,5236)(2516,5235)(2517,5234)(2518,5233)(2519,5232)(2520,5231)(2521,5230)(2522,5229)(2523,5228)(2524,5227)(2525,5226)(2526,5225)(2527,5224)(2528,5223)(2529,5222)(2530,5221)(2531,5220)(2532,5219)(2533,5218)(2534,5217)(2535,5216)(2536,5215)(2537,5214)(2538,5213)(2539,5212)(2540,5211)(2541,5210)(2542,5209)(2543,5208)(2544,5207)(2545,5206)(2546,5205)(2547,5204)(2548,5203)(2549,5202)(2550,5201)(2551,5200)(2552,5199)(2553,5198)(2554,5197)(2555,5196)(2556,5195)(2557,5194)(2558,5193)(2559,5192)(2560,5191)(2561,5190)(2562,5189)(2563,5188)(2564,5187)(2565,5186)(2566,5185)(2567,5184)(2568,5183)(2569,5182)(2570,5181)(2571,5180)(2572,5179)(2573,5178)(2574,5177)(2575,5176)(2576,5175)(2577,5174)(2578,5173)(2579,5172)(2580,5171)(2581,5170)(2582,5169)(2583,5168)(2584,5167)(2585,5166)(2586,5165)(2587,5164)(2588,5163)(2589,5162)(2590,5161)(2591,5160)(2592,5159)(2593,5158)(2594,5157)(2595,5156)(2596,5155)(2597,5154)(2598,5153)(2599,5152)(2600,5151)(2601,5150)(2602,5149)(2603,5148)(2604,5147)(2605,5146)(2606,5145)(2607,5144)(2608,5143)(2609,5142)(2610,5141)(2611,5140)(2612,5139)(2613,5138)(2614,5137)(2615,5136)(2616,5135)(2617,5134)(2618,5133)(2619,5132)(2620,5131)(2621,5130)(2622,5129)(2623,5128)(2624,5127)(2625,5126)(2626,5125)(2627,5124)(2628,5123)(2629,5122)(2630,5121)(2631,5120)(2632,5119)(2633,5118)(2634,5117)(2635,5116)(2636,5115)(2637,5114)(2638,5113)(2639,5112)(2640,5111)(2641,5110)(2642,5109)(2643,5108)(2644,5107)(2645,5106)(2646,5105)(2647,5104)(2648,5103)(2649,5102)(2650,5101)(2651,5100)(2652,5099)(2653,5098)(2654,5097)(2655,5096)(2656,5095)(2657,5094)(2658,5093)(2659,5092)(2660,5091)(2661,5090)(2662,5089)(2663,5088)(2664,5087)(2665,5086)(2666,5085)(2667,5084)(2668,5083)(2669,5082)(2670,5081)(2671,5080)(2672,5079)(2673,5078)(2674,5077)(2675,5076)(2676,5075)(2677,5074)(2678,5073)(2679,5072)(2680,5071)(2681,5070)(2682,5069)(2683,5068)(2684,5067)(2685,5066)(2686,5065)(2687,5064)(2688,5063)(2689,5062)(2690,5061)(2691,5060)(2692,5059)(2693,5058)(2694,5057)(2695,5056)(2696,5055)(2697,5054)(2698,5053)(2699,5052)(2700,5051)(2701,5050)(2702,5049)(2703,5048)(2704,5047)(2705,5046)(2706,5045)(2707,5044)(2708,5043)(2709,5042)(2710,5041)(2711,5040)(2712,5039)(2713,5038)(2714,5037)(2715,5036)(2716,5035)(2717,5034)(2718,5033)(2719,5032)(2720,5031)(2721,5030)(2722,5029)(2723,5028)(2724,5027)(2725,5026)(2726,5025)(2727,5024)(2728,5023)(2729,5022)(2730,5021)(2731,5020)(2732,5019)(2733,5018)(2734,5017)(2735,5016)(2736,5015)(2737,5014)(2738,5013)(2739,5012)(2740,5011)(2741,5010)(2742,5009)(2743,5008)(2744,5007)(2745,5006)(2746,5005)(2747,5004)(2748,5003)(2749,5002)(2750,5001)(2751,5000)(2752,4999)(2753,4998)(2754,4997)(2755,4996)(2756,4995)(2757,4994)(2758,4993)(2759,4992)(2760,4991)(2761,4990)(2762,4989)(2763,4988)(2764,4987)(2765,4986)(2766,4985)(2767,4984)(2768,4983)(2769,4982)(2770,4981)(2771,4980)(2772,4979)(2773,4978)(2774,4977)(2775,4976)(2776,4975)(2777,4974)(2778,4973)(2779,4972)(2780,4971)(2781,4970)(2782,4969)(2783,4968)(2784,4967)(2785,4966)(2786,4965)(2787,4964)(2788,4963)(2789,4962)(2790,4961)(2791,4960)(2792,4959)(2793,4958)(2794,4957)(2795,4956)(2796,4955)(2797,4954)(2798,4953)(2799,4952)(2800,4951)(2801,4950)(2802,4949)(2803,4948)(2804,4947)(2805,4946)(2806,4945)(2807,4944)(2808,4943)(2809,4942)(2810,4941)(2811,4940)(2812,4939)(2813,4938)(2814,4937)(2815,4936)(2816,4935)(2817,4934)(2818,4933)(2819,4932)(2820,4931)(2821,4930)(2822,4929)(2823,4928)(2824,4927)(2825,4926)(2826,4925)(2827,4924)(2828,4923)(2829,4922)(2830,4921)(2831,4920)(2832,4919)(2833,4918)(2834,4917)(2835,4916)(2836,4915)(2837,4914)(2838,4913)(2839,4912)(2840,4911)(2841,4910)(2842,4909)(2843,4908)(2844,4907)(2845,4906)(2846,4905)(2847,4904)(2848,4903)(2849,4902)(2850,4901)(2851,4900)(2852,4899)(2853,4898)(2854,4897)(2855,4896)(2856,4895)(2857,4894)(2858,4893)(2859,4892)(2860,4891)(2861,4890)(2862,4889)(2863,4888)(2864,4887)(2865,4886)(2866,4885)(2867,4884)(2868,4883)(2869,4882)(2870,4881)(2871,4880)(2872,4879)(2873,4878)(2874,4877)(2875,4876)(2876,4875)(2877,4874)(2878,4873)(2879,4872)(2880,4871)(2881,4870)(2882,4869)(2883,4868)(2884,4867)(2885,4866)(2886,4865)(2887,4864)(2888,4863)(2889,4862)(2890,4861)(2891,4860)(2892,4859)(2893,4858)(2894,4857)(2895,4856)(2896,4855)(2897,4854)(2898,4853)(2899,4852)(2900,4851)(2901,4850)(2902,4849)(2903,4848)(2904,4847)(2905,4846)(2906,4845)(2907,4844)(2908,4843)(2909,4842)(2910,4841)(2911,4840)(2912,4839)(2913,4838)(2914,4837)(2915,4836)(2916,4835)(2917,4834)(2918,4833)(2919,4832)(2920,4831)(2921,4830)(2922,4829)(2923,4828)(2924,4827)(2925,4826)(2926,4825)(2927,4824)(2928,4823)(2929,4822)(2930,4821)(2931,4820)(2932,4819)(2933,4818)(2934,4817)(2935,4816)(2936,4815)(2937,4814)(2938,4813)(2939,4812)(2940,4811)(2941,4810)(2942,4809)(2943,4808)(2944,4807)(2945,4806)(2946,4805)(2947,4804)(2948,4803)(2949,4802)(2950,4801)(2951,4800)(2952,4799)(2953,4798)(2954,4797)(2955,4796)(2956,4795)(2957,4794)(2958,4793)(2959,4792)(2960,4791)(2961,4790)(2962,4789)(2963,4788)(2964,4787)(2965,4786)(2966,4785)(2967,4784)(2968,4783)(2969,4782)(2970,4781)(2971,4780)(2972,4779)(2973,4778)(2974,4777)(2975,4776)(2976,4775)(2977,4774)(2978,4773)(2979,4772)(2980,4771)(2981,4770)(2982,4769)(2983,4768)(2984,4767)(2985,4766)(2986,4765)(2987,4764)(2988,4763)(2989,4762)(2990,4761)(2991,4760)(2992,4759)(2993,4758)(2994,4757)(2995,4756)(2996,4755)(2997,4754)(2998,4753)(2999,4752)(3000,4751)(3001,4750)(3002,4749)(3003,4748)(3004,4747)(3005,4746)(3006,4745)(3007,4744)(3008,4743)(3009,4742)(3010,4741)(3011,4740)(3012,4739)(3013,4738)(3014,4737)(3015,4736)(3016,4735)(3017,4734)(3018,4733)(3019,4732)(3020,4731)(3021,4730)(3022,4729)(3023,4728)(3024,4727)(3025,4726)(3026,4725)(3027,4724)(3028,4723)(3029,4722)(3030,4721)(3031,4720)(3032,4719)(3033,4718)(3034,4717)(3035,4716)(3036,4715)(3037,4714)(3038,4713)(3039,4712)(3040,4711)(3041,4710)(3042,4709)(3043,4708)(3044,4707)(3045,4706)(3046,4705)(3047,4704)(3048,4703)(3049,4702)(3050,4701)(3051,4700)(3052,4699)(3053,4698)(3054,4697)(3055,4696)(3056,4695)(3057,4694)(3058,4693)(3059,4692)(3060,4691)(3061,4690)(3062,4689)(3063,4688)(3064,4687)(3065,4686)(3066,4685)(3067,4684)(3068,4683)(3069,4682)(3070,4681)(3071,4680)(3072,4679)(3073,4678)(3074,4677)(3075,4676)(3076,4675)(3077,4674)(3078,4673)(3079,4672)(3080,4671)(3081,4670)(3082,4669)(3083,4668)(3084,4667)(3085,4666)(3086,4665)(3087,4664)(3088,4663)(3089,4662)(3090,4661)(3091,4660)(3092,4659)(3093,4658)(3094,4657)(3095,4656)(3096,4655)(3097,4654)(3098,4653)(3099,4652)(3100,4651)(3101,4650)(3102,4649)(3103,4648)(3104,4647)(3105,4646)(3106,4645)(3107,4644)(3108,4643)(3109,4642)(3110,4641)(3111,4640)(3112,4639)(3113,4638)(3114,4637)(3115,4636)(3116,4635)(3117,4634)(3118,4633)(3119,4632)(3120,4631)(3121,4630)(3122,4629)(3123,4628)(3124,4627)(3125,4626)(3126,4625)(3127,4624)(3128,4623)(3129,4622)(3130,4621)(3131,4620)(3132,4619)(3133,4618)(3134,4617)(3135,4616)(3136,4615)(3137,4614)(3138,4613)(3139,4612)(3140,4611)(3141,4610)(3142,4609)(3143,4608)(3144,4607)(3145,4606)(3146,4605)(3147,4604)(3148,4603)(3149,4602)(3150,4601)(3151,4600)(3152,4599)(3153,4598)(3154,4597)(3155,4596)(3156,4595)(3157,4594)(3158,4593)(3159,4592)(3160,4591)(3161,4590)(3162,4589)(3163,4588)(3164,4587)(3165,4586)(3166,4585)(3167,4584)(3168,4583)(3169,4582)(3170,4581)(3171,4580)(3172,4579)(3173,4578)(3174,4577)(3175,4576)(3176,4575)(3177,4574)(3178,4573)(3179,4572)(3180,4571)(3181,4570)(3182,4569)(3183,4568)(3184,4567)(3185,4566)(3186,4565)(3187,4564)(3188,4563)(3189,4562)(3190,4561)(3191,4560)(3192,4559)(3193,4558)(3194,4557)(3195,4556)(3196,4555)(3197,4554)(3198,4553)(3199,4552)(3200,4551)(3201,4550)(3202,4549)(3203,4548)(3204,4547)(3205,4546)(3206,4545)(3207,4544)(3208,4543)(3209,4542)(3210,4541)(3211,4540)(3212,4539)(3213,4538)(3214,4537)(3215,4536)(3216,4535)(3217,4534)(3218,4533)(3219,4532)(3220,4531)(3221,4530)(3222,4529)(3223,4528)(3224,4527)(3225,4526)(3226,4525)(3227,4524)(3228,4523)(3229,4522)(3230,4521)(3231,4520)(3232,4519)(3233,4518)(3234,4517)(3235,4516)(3236,4515)(3237,4514)(3238,4513)(3239,4512)(3240,4511)(3241,4510)(3242,4509)(3243,4508)(3244,4507)(3245,4506)(3246,4505)(3247,4504)(3248,4503)(3249,4502)(3250,4501)(3251,4500)(3252,4499)(3253,4498)(3254,4497)(3255,4496)(3256,4495)(3257,4494)(3258,4493)(3259,4492)(3260,4491)(3261,4490)(3262,4489)(3263,4488)(3264,4487)(3265,4486)(3266,4485)(3267,4484)(3268,4483)(3269,4482)(3270,4481)(3271,4480)(3272,4479)(3273,4478)(3274,4477)(3275,4476)(3276,4475)(3277,4474)(3278,4473)(3279,4472)(3280,4471)(3281,4470)(3282,4469)(3283,4468)(3284,4467)(3285,4466)(3286,4465)(3287,4464)(3288,4463)(3289,4462)(3290,4461)(3291,4460)(3292,4459)(3293,4458)(3294,4457)(3295,4456)(3296,4455)(3297,4454)(3298,4453)(3299,4452)(3300,4451)(3301,4450)(3302,4449)(3303,4448)(3304,4447)(3305,4446)(3306,4445)(3307,4444)(3308,4443)(3309,4442)(3310,4441)(3311,4440)(3312,4439)(3313,4438)(3314,4437)(3315,4436)(3316,4435)(3317,4434)(3318,4433)(3319,4432)(3320,4431)(3321,4430)(3322,4429)(3323,4428)(3324,4427)(3325,4426)(3326,4425)(3327,4424)(3328,4423)(3329,4422)(3330,4421)(3331,4420)(3332,4419)(3333,4418)(3334,4417)(3335,4416)(3336,4415)(3337,4414)(3338,4413)(3339,4412)(3340,4411)(3341,4410)(3342,4409)(3343,4408)(3344,4407)(3345,4406)(3346,4405)(3347,4404)(3348,4403)(3349,4402)(3350,4401)(3351,4400)(3352,4399)(3353,4398)(3354,4397)(3355,4396)(3356,4395)(3357,4394)(3358,4393)(3359,4392)(3360,4391)(3361,4390)(3362,4389)(3363,4388)(3364,4387)(3365,4386)(3366,4385)(3367,4384)(3368,4383)(3369,4382)(3370,4381)(3371,4380)(3372,4379)(3373,4378)(3374,4377)(3375,4376)(3376,4375)(3377,4374)(3378,4373)(3379,4372)(3380,4371)(3381,4370)(3382,4369)(3383,4368)(3384,4367)(3385,4366)(3386,4365)(3387,4364)(3388,4363)(3389,4362)(3390,4361)(3391,4360)(3392,4359)(3393,4358)(3394,4357)(3395,4356)(3396,4355)(3397,4354)(3398,4353)(3399,4352)(3400,4351)(3401,4350)(3402,4349)(3403,4348)(3404,4347)(3405,4346)(3406,4345)(3407,4344)(3408,4343)(3409,4342)(3410,4341)(3411,4340)(3412,4339)(3413,4338)(3414,4337)(3415,4336)(3416,4335)(3417,4334)(3418,4333)(3419,4332)(3420,4331)(3421,4330)(3422,4329)(3423,4328)(3424,4327)(3425,4326)(3426,4325)(3427,4324)(3428,4323)(3429,4322)(3430,4321)(3431,4320)(3432,4319)(3433,4318)(3434,4317)(3435,4316)(3436,4315)(3437,4314)(3438,4313)(3439,4312)(3440,4311)(3441,4310)(3442,4309)(3443,4308)(3444,4307)(3445,4306)(3446,4305)(3447,4304)(3448,4303)(3449,4302)(3450,4301)(3451,4300)(3452,4299)(3453,4298)(3454,4297)(3455,4296)(3456,4295)(3457,4294)(3458,4293)(3459,4292)(3460,4291)(3461,4290)(3462,4289)(3463,4288)(3464,4287)(3465,4286)(3466,4285)(3467,4284)(3468,4283)(3469,4282)(3470,4281)(3471,4280)(3472,4279)(3473,4278)(3474,4277)(3475,4276)(3476,4275)(3477,4274)(3478,4273)(3479,4272)(3480,4271)(3481,4270)(3482,4269)(3483,4268)(3484,4267)(3485,4266)(3486,4265)(3487,4264)(3488,4263)(3489,4262)(3490,4261)(3491,4260)(3492,4259)(3493,4258)(3494,4257)(3495,4256)(3496,4255)(3497,4254)(3498,4253)(3499,4252)(3500,4251)(3501,4250)(3502,4249)(3503,4248)(3504,4247)(3505,4246)(3506,4245)(3507,4244)(3508,4243)(3509,4242)(3510,4241)(3511,4240)(3512,4239)(3513,4238)(3514,4237)(3515,4236)(3516,4235)(3517,4234)(3518,4233)(3519,4232)(3520,4231)(3521,4230)(3522,4229)(3523,4228)(3524,4227)(3525,4226)(3526,4225)(3527,4224)(3528,4223)(3529,4222)(3530,4221)(3531,4220)(3532,4219)(3533,4218)(3534,4217)(3535,4216)(3536,4215)(3537,4214)(3538,4213)(3539,4212)(3540,4211)(3541,4210)(3542,4209)(3543,4208)(3544,4207)(3545,4206)(3546,4205)(3547,4204)(3548,4203)(3549,4202)(3550,4201)(3551,4200)(3552,4199)(3553,4198)(3554,4197)(3555,4196)(3556,4195)(3557,4194)(3558,4193)(3559,4192)(3560,4191)(3561,4190)(3562,4189)(3563,4188)(3564,4187)(3565,4186)(3566,4185)(3567,4184)(3568,4183)(3569,4182)(3570,4181)(3571,4180)(3572,4179)(3573,4178)(3574,4177)(3575,4176)(3576,4175)(3577,4174)(3578,4173)(3579,4172)(3580,4171)(3581,4170)(3582,4169)(3583,4168)(3584,4167)(3585,4166)(3586,4165)(3587,4164)(3588,4163)(3589,4162)(3590,4161)(3591,4160)(3592,4159)(3593,4158)(3594,4157)(3595,4156)(3596,4155)(3597,4154)(3598,4153)(3599,4152)(3600,4151)(3601,4150)(3602,4149)(3603,4148)(3604,4147)(3605,4146)(3606,4145)(3607,4144)(3608,4143)(3609,4142)(3610,4141)(3611,4140)(3612,4139)(3613,4138)(3614,4137)(3615,4136)(3616,4135)(3617,4134)(3618,4133)(3619,4132)(3620,4131)(3621,4130)(3622,4129)(3623,4128)(3624,4127)(3625,4126)(3626,4125)(3627,4124)(3628,4123)(3629,4122)(3630,4121)(3631,4120)(3632,4119)(3633,4118)(3634,4117)(3635,4116)(3636,4115)(3637,4114)(3638,4113)(3639,4112)(3640,4111)(3641,4110)(3642,4109)(3643,4108)(3644,4107)(3645,4106)(3646,4105)(3647,4104)(3648,4103)(3649,4102)(3650,4101)(3651,4100)(3652,4099)(3653,4098)(3654,4097)(3655,4096)(3656,4095)(3657,4094)(3658,4093)(3659,4092)(3660,4091)(3661,4090)(3662,4089)(3663,4088)(3664,4087)(3665,4086)(3666,4085)(3667,4084)(3668,4083)(3669,4082)(3670,4081)(3671,4080)(3672,4079)(3673,4078)(3674,4077)(3675,4076)(3676,4075)(3677,4074)(3678,4073)(3679,4072)(3680,4071)(3681,4070)(3682,4069)(3683,4068)(3684,4067)(3685,4066)(3686,4065)(3687,4064)(3688,4063)(3689,4062)(3690,4061)(3691,4060)(3692,4059)(3693,4058)(3694,4057)(3695,4056)(3696,4055)(3697,4054)(3698,4053)(3699,4052)(3700,4051)(3701,4050)(3702,4049)(3703,4048)(3704,4047)(3705,4046)(3706,4045)(3707,4044)(3708,4043)(3709,4042)(3710,4041)(3711,4040)(3712,4039)(3713,4038)(3714,4037)(3715,4036)(3716,4035)(3717,4034)(3718,4033)(3719,4032)(3720,4031)(3721,4030)(3722,4029)(3723,4028)(3724,4027)(3725,4026)(3726,4025)(3727,4024)(3728,4023)(3729,4022)(3730,4021)(3731,4020)(3732,4019)(3733,4018)(3734,4017)(3735,4016)(3736,4015)(3737,4014)(3738,4013)(3739,4012)(3740,4011)(3741,4010)(3742,4009)(3743,4008)(3744,4007)(3745,4006)(3746,4005)(3747,4004)(3748,4003)(3749,4002)(3750,4001)(3751,4000)(3752,3999)(3753,3998)(3754,3997)(3755,3996)(3756,3995)(3757,3994)(3758,3993)(3759,3992)(3760,3991)(3761,3990)(3762,3989)(3763,3988)(3764,3987)(3765,3986)(3766,3985)(3767,3984)(3768,3983)(3769,3982)(3770,3981)(3771,3980)(3772,3979)(3773,3978)(3774,3977)(3775,3976)(3776,3975)(3777,3974)(3778,3973)(3779,3972)(3780,3971)(3781,3970)(3782,3969)(3783,3968)(3784,3967)(3785,3966)(3786,3965)(3787,3964)(3788,3963)(3789,3962)(3790,3961)(3791,3960)(3792,3959)(3793,3958)(3794,3957)(3795,3956)(3796,3955)(3797,3954)(3798,3953)(3799,3952)(3800,3951)(3801,3950)(3802,3949)(3803,3948)(3804,3947)(3805,3946)(3806,3945)(3807,3944)(3808,3943)(3809,3942)(3810,3941)(3811,3940)(3812,3939)(3813,3938)(3814,3937)(3815,3936)(3816,3935)(3817,3934)(3818,3933)(3819,3932)(3820,3931)(3821,3930)(3822,3929)(3823,3928)(3824,3927)(3825,3926)(3826,3925)(3827,3924)(3828,3923)(3829,3922)(3830,3921)(3831,3920)(3832,3919)(3833,3918)(3834,3917)(3835,3916)(3836,3915)(3837,3914)(3838,3913)(3839,3912)(3840,3911)(3841,3910)(3842,3909)(3843,3908)(3844,3907)(3845,3906)(3846,3905)(3847,3904)(3848,3903)(3849,3902)(3850,3901)(3851,3900)(3852,3899)(3853,3898)(3854,3897)(3855,3896)(3856,3895)(3857,3894)(3858,3893)(3859,3892)(3860,3891)(3861,3890)(3862,3889)(3863,3888)(3864,3887)(3865,3886)(3866,3885)(3867,3884)(3868,3883)(3869,3882)(3870,3881)(3871,3880)(3872,3879)(3873,3878)(3874,3877)(3875,3876)Polycyclic presentation:
2^2,7741|a^2=b,c^a=c^77407744 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30964, 1);