Dic₈₇₀₇ #46852622

order	34828
automorphism	?
homology	Abelianization (H₁) = C₄ · Schur multiplier (H₂) = C₁

Aliases

dicyclic	Dic₈₇₀₇
unambiguous semidirect product	C₈₇₀₇⋊C₄

Splittings

derived, Sylow

C₈₇₀₇ ⋊ C₄

Subgroups

	subgroup	G/H
center, Frattini, hypercenter	C₂	D₈₇₀₇
commutator, hypocenter	C₈₇₀₇	C₄
Fitting, socle, prime radical, cosocle	C₂×C₈₇₀₇	C₂
LCS	G ▷ C₈₇₀₇
UCS	C₁ ◁ C₂

6 conjugacy classes of subgroups.

Full subgroup data →

Presentation

minimal degree	μ(G) = 8711
transitive degree	μ_t(G) = 34828

A minimal faithful permutation representation — 2 generators on 8711 points:

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

Polycyclic presentation:

2^2,8707|a^2=b,c^a=c^8706

Conjugacy classes & character table

8710 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34828, 1);

Dic8707 #46852622