Dic₈₆₄₇ #46829209

order	34588
automorphism	?
homology	Abelianization (H₁) = C₄ · Schur multiplier (H₂) = C₁

Aliases

dicyclic	Dic₈₆₄₇
unambiguous semidirect product	C₈₆₄₇⋊C₄

Splittings

derived, Sylow

C₈₆₄₇ ⋊ C₄

Subgroups

	subgroup	G/H
center, Frattini, hypercenter	C₂	D₈₆₄₇
commutator, hypocenter	C₈₆₄₇	C₄
Fitting, socle, prime radical, cosocle	C₂×C₈₆₄₇	C₂
LCS	G ▷ C₈₆₄₇
UCS	C₁ ◁ C₂

6 conjugacy classes of subgroups.

Full subgroup data →

Presentation

minimal degree	μ(G) = 8651
transitive degree	μ_t(G) = 34588

A minimal faithful permutation representation — 2 generators on 8651 points:

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

Polycyclic presentation:

2^2,8647|a^2=b,c^a=c^8646

Conjugacy classes & character table

8650 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34588, 1);

Dic8647 #46829209