Dic₈₀₉₃ #44569175

order	32372
automorphism	?
homology	Abelianization (H₁) = C₄ · Schur multiplier (H₂) = C₁

Aliases

dicyclic

Dic₈₀₉₃

Splittings

derived, Sylow

C₈₀₉₃ ⋊ C₄

Subgroups

	subgroup	G/H
center, Frattini, hypercenter	C₂	D₈₀₉₃
commutator, hypocenter	C₈₀₉₃	C₄
Fitting, socle, prime radical, cosocle	C₂×C₈₀₉₃	C₂
LCS	G ▷ C₈₀₉₃
UCS	C₁ ◁ C₂

6 conjugacy classes of subgroups.

Full subgroup data →

Presentation

minimal degree	μ(G) = 8097
transitive degree	μ_t(G) = 32372

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

Polycyclic presentation:

2^2,8093|a^2=b,c^a=c^8092

Conjugacy classes & character table

8096 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32372, 1);

Dic8093 #44569175