/* www-ATLAS of Group Representations. HS represented as permutations on 4125 points. */ G:=PermutationGroup<4125|\[ 2,1,5,7,3,10,4,13,15,6,18,20,8,23,9,26,28,11,31,12,33,35,14,38,39, 16,42,17,45,47,19,50,21,53,22,56,58,24,25,62,64,27,67,68,29,71,30,74,76,32, 79,81,34,84,85,36,88,37,91,93,95,40,98,41,101,102,43,44,106,108,46,111,112,48,115, 49,118,120,51,123,52,126,128,54,55,131,133,57,136,137,59,140,60,143,61,146,148,63,151,152, 65,66,156,158,160,69,163,70,166,168,72,73,172,174,75,177,178,77,181,78,184,186,80,189,190, 82,193,83,196,198,86,201,87,204,206,89,90,210,212,92,192,215,94,218,220,96,223,97,226,228, 99,100,232,234,236,103,239,104,242,105,245,247,107,250,251,109,254,110,257,259,261,113,264,114,267, 269,116,117,273,275,119,278,183,121,281,122,284,286,124,125,290,141,127,294,295,129,298,130,301,303, 132,306,307,134,310,135,313,315,317,138,320,139,323,325,142,328,330,144,332,145,334,335,147,338,339, 149,342,150,345,347,349,153,352,154,355,155,358,360,157,363,282,159,366,368,161,371,162,374,376,164, 165,380,382,167,385,354,169,388,170,391,171,394,396,173,399,370,175,402,176,405,407,409,179,412,180, 415,417,182,420,422,185,241,425,187,428,188,431,433,435,191,438,440,442,194,195,446,448,197,451,453, 199,456,200,459,460,202,203,464,466,205,469,470,207,473,208,476,209,479,319,211,483,484,213,487,214, 490,492,216,495,217,498,219,501,221,222,505,507,224,225,511,513,227,516,517,229,520,230,522,231,525, 351,233,529,256,235,532,534,237,359,238,539,541,240,411,545,243,548,244,550,266,246,553,554,248,557, 249,560,559,562,252,565,253,568,570,255,573,575,258,572,578,260,581,583,262,586,263,589,527,265,593, 595,268,598,599,270,602,271,605,272,608,364,274,612,613,276,616,277,619,621,279,624,280,627,629,283, 632,634,285,637,638,287,640,288,643,289,646,437,291,650,292,652,293,655,657,659,296,662,297,665,667, 299,670,300,672,674,302,677,678,304,305,682,684,686,308,689,309,692,694,311,312,697,698,314,701,702, 316,705,707,318,710,712,714,321,322,718,720,324,658,723,326,726,327,729,731,329,734,735,331,663,739, 333,742,743,504,336,747,337,512,750,752,340,508,341,757,759,343,344,762,764,346,766,348,758,769,350, 772,398,775,353,778,780,356,533,357,784,786,788,789,361,792,362,795,797,798,365,801,803,367,806,369, 809,811,372,373,815,817,375,820,378,377,823,379,826,828,381,830,831,383,833,384,835,389,386,839,387, 842,844,390,847,849,392,852,393,854,856,395,859,860,397,863,865,867,400,870,401,873,875,403,404,879, 848,406,883,884,408,887,889,410,891,800,894,413,414,898,900,416,903,904,418,907,419,910,912,421,915, 916,423,628,424,920,921,426,924,427,926,928,429,430,932,432,934,935,434,937,939,436,941,943,945,439, 651,441,949,654,443,952,444,488,445,956,719,447,499,851,449,962,450,964,966,452,969,454,972,455,974, 976,457,458,980,982,984,461,987,462,990,463,993,995,465,997,998,467,1001,468,1004,906,471,472,1007,1009, 474,475,913,1014,477,1016,478,1018,1020,480,1023,481,1025,482,1027,1029,1031,485,661,486,1036,1038,489,1041,1043, 491,1046,1047,493,1050,494,1053,785,496,497,1058,1060,1062,500,1064,1065,502,503,843,1070,1072,506,1075,1076,509, 1078,510,1081,1083,1085,1086,514,523,515,1090,1092,518,763,519,951,521,1099,796,524,1102,1104,526,1107,1108,528, 1110,1112,530,1115,531,1118,1120,1122,535,733,536,1127,537,538,1131,1132,540,1134,1135,542,768,543,544,1140,610, 546,1143,547,1145,1147,549,1150,1152,551,1154,552,1156,1158,1160,555,1163,556,1166,1168,558,1171,1173,561,991,1177, 563,1179,564,1181,566,567,832,569,1186,571,1189,1191,1193,574,1196,1197,576,744,577,1201,1203,579,601,580,1208, 664,582,1212,584,1215,585,1218,1220,587,588,1224,1226,590,1229,591,1231,592,1234,1236,594,1239,1240,596,1243,597, 1246,1248,1250,600,1252,1254,1256,603,604,1260,1262,606,1265,607,1267,609,1270,1271,611,1274,1276,1278,614,1280,615, 1283,1285,617,618,1288,696,620,1292,1293,622,1296,623,703,1299,625,626,1303,1305,1307,630,631,1311,1313,633,1316, 635,1318,636,1129,1322,1324,639,933,641,642,936,644,1332,645,1334,647,1337,648,1339,649,1342,1344,1346,653,1349, 765,656,1352,954,1354,660,1255,1358,1360,1362,1363,666,1365,668,1368,669,1370,1372,671,1375,1377,673,1380,675,1381, 676,1383,1123,1386,679,1389,680,1392,681,1394,1396,683,1063,1399,685,824,1128,687,1404,688,1012,690,691,1410,1412, 693,1415,1340,695,1418,1006,699,1422,700,1425,1427,996,1430,704,1433,706,1436,708,1439,709,1441,1442,711,1444,713, 1447,715,1028,716,1452,717,1455,1457,1069,1459,721,1175,722,1463,1465,724,1468,725,1470,1472,727,728,1476,1478,730, 1481,1482,732,1485,1487,1489,1491,736,1494,737,1497,738,988,740,741,1502,1504,1506,1034,745,1510,746,1513,1515,748, 749,1519,751,1522,1524,753,1527,754,1530,755,756,1534,1536,1537,760,1539,761,1542,1544,1546,1547,1549,1550,767,1553, 1555,770,1558,771,1561,1563,773,774,1566,776,1568,777,1571,1573,779,1575,1576,781,1579,782,1581,783,978,1584,1221, 1586,787,992,929,1574,790,791,1592,793,794,1596,1597,1138,1599,799,1601,1603,802,1606,804,1607,805,1610,1611,807, 1614,808,1616,810,1617,812,1619,813,1621,814,1624,1626,816,1629,1630,818,1632,819,1635,1637,821,1172,822,1642,1037, 1645,825,1647,827,1649,829,1652,1654,1656,1657,834,1659,1661,836,1663,837,1665,838,1668,1670,840,841,1673,1674,1567, 845,1677,846,1680,1682,1684,1685,850,1688,1690,1692,853,1695,1697,855,1700,1701,857,1704,858,1125,1708,1357,861,1711, 862,1714,1228,864,1718,866,1720,1721,868,1572,869,1662,1727,871,872,1731,1732,874,1735,1736,876,1739,877,1742,878, 1744,880,1747,881,957,882,1750,1752,1754,885,1757,886,1760,1762,888,1765,890,1768,1769,892,893,1552,1773,895,1275, 896,1778,897,1781,899,1784,1785,901,1787,902,1790,1792,905,1795,1797,1798,908,909,1315,1802,911,1298,1297,914,1806, 1808,1810,917,1813,918,1815,919,1817,1819,1535,922,1822,923,1824,1294,925,1828,927,1319,1678,1679,930,1834,931,1836, 1838,1840,1841,1843,1845,1847,938,1850,940,1853,1855,942,1858,944,1003,1683,946,1666,947,1865,948,1868,1870,950,1873, 1875,953,1437,955,1880,1881,1223,958,1884,959,1886,960,961,1889,963,1891,1893,965,1896,967,1898,968,1901,1903,970, 1906,971,1908,1910,973,975,1914,977,1916,1918,979,1921,1922,981,1925,1926,983,1929,985,1932,986,1935,1937,989,1940, 1941,1943,1944,994,1946,1947,1948,1950,1952,999,1954,1000,1413,1958,1002,1961,1963,1005,1966,1967,1969,1008,1972,1973,1010, 1976,1011,1979,1980,1013,1936,1983,1015,1985,1987,1017,1353,1991,1019,1440,1021,1022,1995,1024,1997,1999,1026,2001,2003,2005, 2006,1030,1866,1706,1032,1764,1033,2013,1035,2016,2018,1462,1039,2021,1040,2024,2026,1042,2028,1044,2030,1045,2032,2033,2035, 1048,2038,1049,2041,2043,1051,1052,2047,2048,1054,2051,1055,2053,1056,2055,1057,2058,2060,1059,2063,2064,1061,2066,2067,1648, 1501,1066,2071,1067,2074,1068,1615,2076,1724,1071,2079,2080,1073,2082,1074,2085,1578,2088,1077,2091,2092,1079,2095,1080,1525, 1557,1082,2100,2101,1084,2103,2105,2107,1087,1310,1088,1089,2110,1091,1540,2113,1093,2115,1094,2118,1095,1096,2122,1097,1098, 1551,1272,1100,1733,1101,2130,1526,1103,2134,1686,1105,2136,1106,2138,1565,1109,1200,1111,2144,2145,1113,1235,1114,1130,1116, 1117,2039,1517,1119,2152,1121,2153,2155,1124,2158,1126,2161,1777,2164,2165,1949,1133,2169,2170,2171,1136,1137,1775,1139,2176, 1141,2179,1142,2181,2183,1144,1146,2187,2188,1148,1149,2192,1990,1151,1507,1153,1155,1770,1157,2201,1159,2204,2205,1161,2207, 1162,2209,2211,1164,1165,2214,1167,2217,2218,1169,2220,1170,2223,1930,2225,2226,1174,1883,2230,1176,2135,1178,1500,1180,2237, 2239,1182,2240,1183,2242,1184,1185,2245,1187,2248,1188,1237,1190,1725,1192,1343,1667,1194,2255,1195,2258,2260,1198,1199,2263, 2264,1202,1320,1321,1204,2267,1205,1341,1206,1207,1560,2273,1209,1689,1210,2276,1211,2279,1748,1213,2282,1214,2285,1699,1216, 1217,2289,2291,1219,2294,1454,2296,1222,2298,1780,1225,2302,2303,1227,2306,1911,2309,1230,2311,1232,1233,2299,2316,1509,1664, 2319,1238,2265,2321,2323,1241,1242,1554,2327,1244,1245,2330,2332,1247,2328,2334,1249,2337,1251,2339,2341,1253,1694,2345,1257, 2347,1258,2046,1259,2351,2353,1261,2229,1799,1263,2357,1264,2359,1456,1266,2363,2365,1268,1269,1618,2369,2371,1273,2373,1598, 2375,1588,1277,2378,1710,1279,2381,1783,1281,1282,2287,1284,2385,2386,1286,2388,1287,2391,2393,1289,2396,1290,1291,1759,1800, 2401,1295,1882,2405,2407,1300,2409,1301,1957,1302,2413,2415,1304,2418,1306,2420,1308,2423,1309,2426,2428,1312,2431,1314,2433, 2435,2437,1317,2439,2441,1993,2444,2445,1323,1835,1325,1861,1326,2450,1327,1328,1842,1329,2020,1330,2455,1331,2456,2457,1333, 2459,2461,1335,2464,1336,2466,2468,1338,2471,2472,1837,2474,2009,2476,1345,1453,2479,1347,2481,1348,2483,2485,1350,2488,1351, 2490,2454,2493,2494,1355,1356,1803,1643,1359,2380,1361,2500,2167,1364,2504,1366,2506,1367,2452,2509,1369,2512,1371,2514,1917, 1373,2516,1374,2519,2521,1376,2523,1378,2526,1379,1716,2529,2531,1382,2533,1384,1900,1385,2534,2389,1387,1388,2538,2448,1390, 1391,2542,2544,1393,1639,2408,1395,2547,2548,1397,1431,1398,2532,2421,1400,1401,2015,1402,1403,2556,1405,1406,1407,1591,1408, 2562,1409,2564,1411,2567,2568,1809,1414,2571,2572,1416,1962,1417,2123,2109,1419,1420,2580,1421,2583,2089,1423,1424,2587,2576, 1426,2591,2592,1428,1429,2596,2598,1432,2121,1434,2411,1435,2603,2605,1613,1438,2609,1831,2612,1443,2614,1445,2617,1446,2620, 1448,2623,1449,2625,1450,1451,2629,2078,1863,2406,2065,2056,1458,2636,1942,1460,2639,1461,2640,1844,1464,2644,2569,1466,2185, 1467,2647,1469,2650,1471,2653,1473,1474,2655,1475,2656,2658,1477,1577,2660,1479,2662,1480,2665,2667,1753,1483,1484,2672,2674, 1486,2676,1488,2679,1490,2012,2682,1492,2059,1493,2686,2687,1495,1496,2011,1498,1499,2693,2695,2070,1503,2698,2699,1505,2702, 1508,2077,2008,1511,1512,2708,1514,2711,2712,1516,2714,2716,1518,1971,2718,1520,1521,2721,2094,1523,2724,2726,2727,2729,1528, 1529,2424,1531,2732,1532,2733,1533,2736,1965,1538,2739,2741,1541,2742,1543,2745,2685,1545,2748,2749,1984,1548,1964,2750,2752, 2432,2755,2499,2756,1556,2759,2761,2762,1559,1646,1562,2766,1564,2768,2769,2770,2142,2772,1569,1570,2146,2776,2778,2779,2606, 2782,1580,1582,2784,1583,2156,2785,1585,2771,2789,1587,2659,2792,1589,1590,2796,1888,2798,1593,1594,1595,2801,2803,2805,2806, 1600,2177,2809,1602,2555,1604,2812,1605,2815,2025,2818,1608,1609,2822,2730,2191,1612,2825,2827,2829,2831,2833,2835,2837,2266, 1620,2839,2840,1622,1623,2844,1625,2847,1627,2460,1628,2851,2853,1631,2856,2621,1633,1634,2860,1636,2863,2864,1638,2224,1640, 1641,2867,2228,1758,1644,2870,2634,2871,2244,2713,2875,1650,2877,1651,1653,2241,1655,2880,2234,1658,2671,2884,1660,2885,2669, 2277,2887,2889,2891,1669,2894,2850,1671,2896,1672,2898,2590,1675,1676,1728,2200,1681,2903,2904,2906,2908,2910,1687,2913,2915, 1691,2251,2577,1693,2919,2921,1696,2924,2925,1698,2787,1786,2929,1702,2931,1703,2933,2935,1705,2937,1707,2939,1709,1722,2942, 2943,1712,1713,2947,2949,1715,2952,2862,1717,2954,1719,2956,2957,2495,2960,1723,2963,2326,1726,2966,1729,2916,1730,2969,2971, 2318,1734,1740,2329,1737,2976,1738,2979,1741,2335,2983,1743,2985,1745,2984,1746,2987,2989,2920,1749,2993,1751,2995,2996,2998, 1755,2352,1756,3001,2508,3004,1761,3006,1763,3009,3011,2673,1766,3014,1767,2559,3017,3019,1771,3022,1772,2515,1774,3025,1776, 3027,3028,1779,3030,1885,1782,3033,3035,3037,1788,1789,3040,1791,1920,2535,1793,2981,1794,3046,3048,1796,3051,3053,3055,3056, 1801,3057,2968,3059,1804,2010,1805,1931,1807,3062,1986,3063,1811,3065,1812,2930,3068,1814,2819,1816,1939,3072,1818,2102,3074, 1820,3077,1821,2992,3078,1823,2126,1825,3081,1826,3083,1827,3085,1829,3088,1830,3090,3091,1832,1833,2446,3094,1924,2841,1839, 2487,1894,2823,1877,1846,1848,1849,3100,1851,2210,1852,3102,2980,1854,2651,1856,3106,1857,3104,3107,1859,1860,3109,1862,3071, 1864,3113,3115,1867,2654,1869,3117,1871,2484,1872,3120,2451,1874,3123,1876,3125,3127,1878,1879,2314,3132,3133,3135,2128,1887, 3139,3140,3142,1890,3144,1892,3147,2355,1895,3149,3151,1897,3153,1899,2372,1902,2518,2517,1904,3156,1905,3158,1907,3160,2795, 1909,3164,3165,1912,3168,1913,1938,1915,1919,2390,3174,3176,1923,3179,2677,2728,1927,3182,1928,2808,3003,1933,1934,3185,3099, 3187,3188,3189,3191,2180,1945,2600,3195,2366,2602,3196,1951,3198,1953,3200,3201,1955,1956,2023,3205,1959,1960,3207,3209,3211, 1975,2278,3212,2797,1968,3214,3215,1970,3217,3219,2593,1974,3221,2692,2262,1977,1978,2586,3224,3226,1981,3228,1982,3230,2557, 3233,2560,1988,3236,1989,2150,3240,3170,1992,3242,3243,1994,2613,1996,2911,3248,1998,3239,3250,2000,2216,2917,2002,3254,2004, 3255,3257,3259,2007,3262,3241,3263,3265,2232,3268,2014,3271,3076,2017,2019,3275,2649,2661,2022,2830,3279,2027,3128,2642,2029, 2465,3283,2031,2480,2034,2036,3288,2037,2162,2040,2643,2042,3294,3295,2044,3296,2045,3299,2250,2974,2246,2049,2362,2050,2842, 2052,2540,2757,2054,3276,3289,2057,3095,3307,2117,2061,2062,2688,3311,2690,3313,2589,2068,3316,2069,3318,3103,2072,2073,3322, 2901,2075,3060,2846,3325,3326,3327,2081,3329,3331,2083,2084,2235,2086,3336,2087,3338,2090,3341,3342,2093,3343,2828,2096,3344, 2097,2098,2541,2099,2190,3349,2104,2106,3352,3354,2108,2909,3357,2111,3359,2112,2114,3362,3363,2116,3365,3366,2119,2120,2124, 3369,2125,3370,3235,2127,2129,2678,2888,2131,3374,2132,2133,3377,3379,3380,2137,3382,2139,2140,2141,2159,2143,3385,3386,3129, 2147,3389,2148,2149,3335,3393,2151,3395,2154,2157,3398,2286,3401,2160,3403,3404,2163,3406,2794,2525,2166,2579,2168,3410,2800, 2172,3411,2173,3414,2174,2175,3418,2545,2178,3419,3420,2182,3421,3422,2184,3424,3116,2186,2419,3427,2821,2189,2453,3428,2193, 2826,2194,2723,2195,2645,2196,3086,2197,3435,2198,3437,2199,3439,2202,2203,2449,2675,3440,2206,3442,2704,2208,3446,3345,2257, 2212,3449,2213,3451,3452,2215,3392,3010,2893,2219,3457,2308,2221,2222,3093,3458,2227,3461,3192,2231,2233,3463,3464,3466,2236, 3468,2238,3470,3471,2243,3473,3024,3438,2247,2249,3478,2252,2758,2253,3480,2254,3483,2859,2256,3485,2259,3486,2261,3488,3490, 2701,3491,2268,2269,2948,2270,3266,2271,2737,2272,2615,2912,2274,3500,2275,2322,2622,3007,2280,2344,2281,3251,3505,2283,2284, 3509,3126,3510,2288,2416,2290,3222,2292,3514,2293,3517,2295,3021,2297,2940,3122,2300,2301,3269,3155,3520,2304,2905,2305,3494, 3523,2307,3332,2310,3526,2312,2313,3529,3530,2315,3533,3534,2317,3536,2965,2320,3166,2403,2324,3539,2325,3542,3543,2670,3545, 2331,3547,3321,2333,2463,2392,3550,2336,2340,2338,3508,2342,3555,2343,3334,3394,2429,2346,3560,2348,2349,3562,2350,3564,3565, 2354,3568,2546,2356,3570,2358,2918,3573,2360,2858,2361,3575,3577,2364,3579,3580,2367,3582,2368,3584,2938,2370,3588,2882,2374, 3591,2376,2377,3594,2379,3596,3597,2382,3569,2383,3353,2384,3479,3602,2387,3317,3605,3606,3607,3350,2394,3609,2395,3612,3614, 2397,3615,2398,3616,2399,2400,2402,3620,2404,2703,3622,2410,2412,3064,2414,3625,3089,2417,3137,3070,2475,2422,3629,2425,3417, 2638,2427,2430,3079,3080,2434,3203,2436,3638,2438,2832,3639,2440,3067,2442,2443,3642,2865,2447,2683,3282,3551,3445,2550,2458, 3647,2462,2697,2469,3549,2467,2470,3623,2473,3652,3653,3654,2477,3381,2478,2817,2482,3656,3292,2486,3658,2941,2489,3634,2491, 2927,2492,2648,2775,3472,3194,2496,2497,3666,2498,3668,3069,3197,2501,2502,3284,2503,3673,2505,3676,3678,2507,3680,2510,3587, 2511,3675,2513,3216,2945,2520,3157,2522,3685,2524,3391,3689,3163,2527,2528,2967,3613,2530,3553,2608,3232,3696,3650,2536,3698, 2537,3700,3521,2539,3180,3703,2543,3648,3706,2549,3186,2551,2552,2553,3709,2554,2869,3711,3131,2558,2561,3138,2563,3247,2565, 2566,3481,3082,3460,2570,3717,2573,3208,2574,3590,2575,2578,3213,2581,2582,3154,2584,3692,2585,3256,2588,2932,3726,2594,3729, 2595,3277,2597,3731,2599,3402,3171,2601,3732,2754,2604,3238,3237,2618,2607,2631,2610,2611,3244,3527,3737,3199,2616,3686,2619, 2922,3252,3741,2624,2626,3220,2627,3258,2628,3745,3532,2630,2632,3749,2633,2907,3431,2635,2944,3600,2637,3272,3752,3754,2641, 2680,3227,3756,2646,3758,3760,3096,2652,3141,3397,3447,3763,2657,2681,3765,3682,3119,3768,2663,2664,2666,3771,3747,2668,3774, 3301,3576,3775,3776,3777,3778,2684,3779,3780,3782,2689,3563,2691,3610,3537,2694,3041,2696,3783,3785,2978,2700,3787,3789,2705, 2706,2707,3502,2709,3793,2710,2953,3795,2990,2780,2715,3687,2717,3799,3566,2719,2720,2722,2725,2849,3802,3804,3498,2731,3045, 3384,2734,3036,2735,3501,3808,2738,3810,2740,3812,3813,2743,2744,3815,2746,2747,3651,3693,2751,2753,3415,3818,3819,2760,3820, 3821,2763,3822,2764,2765,3114,2767,3407,3351,2773,2774,3455,3388,2777,3829,3161,2857,2781,2991,2783,3636,3285,2786,3833,3834, 2788,3231,2790,2791,3837,2793,3383,3839,3409,2799,2802,3841,3843,2804,3371,3796,3075,2807,2810,2811,2813,2814,3702,2816,3454, 3850,2820,2824,3853,3574,3267,3503,3655,3740,2834,3856,2836,2883,2838,2843,3641,2845,3859,3861,3098,2848,3286,3806,2852,3864, 2854,2855,3453,3425,3387,3809,2861,2866,3866,3204,2868,3670,2872,2873,3522,2874,3870,2876,3644,2878,2879,3130,2881,3874,3489, 3876,3877,2886,3038,2890,3202,3879,2892,3881,2895,2897,3546,2899,3475,2900,2902,3492,3885,2950,3720,3886,3887,3348,3759,2914, 3355,3328,3432,3890,2923,3598,3892,2986,2926,2928,3792,3705,3592,2934,3897,3898,2936,3899,3583,2946,3178,3465,2951,3901,3902, 2955,3245,3903,2958,2959,3904,3261,2961,2962,3535,2964,3315,3909,2970,3912,3628,2972,2973,3544,2975,3487,2977,3917,3105,2982, 3097,3667,3169,3581,2988,3920,3873,3660,3674,2994,3921,2997,3312,2999,3000,3340,3862,3002,3034,3005,3728,3924,3008,3430,3012, 3302,3013,3832,3015,3016,3554,3018,3519,3020,3585,3601,3150,3023,3589,3210,3026,3513,3929,3029,3932,3031,3032,3506,3840,3270, 3586,3039,3935,3604,3042,3043,3044,3716,3047,3314,3939,3049,3167,3050,3052,3054,3942,3943,3906,3058,3894,3061,3108,3948,3066, 3836,3951,3541,3073,3827,3882,3953,3954,3124,3761,3396,3807,3084,3087,3848,3441,3092,3956,3469,3958,3960,3101,3183,3962,3173, 3367,3110,3111,3112,3433,3118,3854,3121,3966,3558,3661,3662,3967,3969,3915,3134,3552,3136,3972,3462,3933,3941,3143,3559,3152, 3145,3975,3146,3976,3148,3681,3291,3683,3978,3159,3249,3337,3846,3162,3690,3980,3218,3368,3913,3981,3172,3838,3175,3727,3177, 3900,3423,3181,3704,3512,3184,3983,3984,3190,3985,3193,3936,3986,3988,3989,3608,3206,3990,3991,3495,3791,3994,3995,3996,3997, 3223,3699,3571,3225,3965,3229,3234,3733,4000,3907,4001,3246,4003,3755,3434,3253,3786,3847,3816,3260,4006,3298,4008,3264,3750, 4011,3273,4013,3274,3739,3278,3757,3280,3499,3281,3635,4016,3287,3931,3290,4019,3767,3293,4020,4021,3297,3944,3878,3300,3303, 3304,3305,3306,3308,3309,3891,3310,3319,4027,3320,3742,3323,3961,3324,4029,3721,3511,3330,3880,3333,3416,3817,3798,3339,4033, 3801,3346,4034,3347,4035,3448,3637,3356,3456,3358,4010,3360,3361,3910,3364,3744,3797,3372,3373,3375,3376,3378,3823,3968,3825, 3826,3630,3835,3390,4025,4041,3578,3399,3400,3828,3626,3405,3697,3408,3599,3412,4009,3413,4039,4047,3688,3743,3640,4050,3426, 4051,4053,3429,3657,3919,3436,4056,3974,3443,4057,3444,3567,4026,3450,4060,3459,4061,4044,4062,3467,3871,3872,3557,3474,3908, 3476,3477,3773,3482,3794,3484,3631,4066,3911,3493,3496,3497,3895,3998,3504,3781,3507,3893,3621,3888,4071,3515,3516,3518,3701, 3524,3525,3528,3531,4055,3619,3735,3875,3538,3814,3884,3540,3694,3923,3665,4075,3548,4024,3855,3556,3561,3949,3914,3572,3925, 4038,4080,4015,3593,4081,3764,3595,3671,4079,3603,3712,3937,4023,3611,3950,3672,3617,3618,3772,4085,4086,4064,3624,3922,3940, 3627,4088,3632,3633,3970,3643,3957,3645,4090,3646,3788,3649,4093,3964,3730,3659,3663,3824,3664,3955,4078,3669,4032,3858,3677, 3679,3992,3684,4012,3691,3695,3982,3707,3708,3710,3713,4074,3714,3715,3718,3719,3977,4040,3722,3723,3724,3725,3889,4100,3734, 3736,4103,3738,4004,4068,3746,4072,3748,3842,3811,3751,3979,3753,4105,3928,3762,4017,4106,3766,3769,3770,4022,3938,3918,3830, 3863,3784,4109,3790,4030,4058,3973,3800,3803,3805,4045,4073,3926,3844,3993,3831,4077,4104,3868,4036,4076,3845,4083,4049,3849, 3851,4063,3852,4082,3905,3857,3860,4031,4115,3865,3867,3869,4052,3947,4065,3883,4067,4005,4117,4094,3896,4007,4037,3987,3916, 4046,4042,3971,3934,3927,3930,4054,4048,4116,3945,3946,4087,3952,4097,3959,4095,4110,3963,4070,4091,4113,4089,4120,4122,3999, 4123,4107,4002,4043,4014,4018,4102,4108,4028,4092,4111,4124,4096,4114,4059,4084,4069,4118,4121,4098,4119,4099,4101,4112,4125] ,\[ 3,4,6,8,9,11,12,14,16,17,19,21,22,24,25,27,29,30,1,32,34,36,37,2,40, 41,43,44,46,48,49,51,52,54,55,57,59,60,61,63,65,66,5,69,70,72,73,75,77,78, 80,82,83,7,86,87,89,90,92,94,96,97,99,100,53,103,104,105,107,109,110,10,113,114,116, 117,119,121,122,124,125,127,26,129,130,132,134,135,13,138,139,141,142,144,145,147,149,150,15,153, 154,155,157,159,161,162,164,165,167,169,170,171,173,175,176,18,179,180,182,183,185,187,188,20,191, 192,194,195,197,199,200,202,203,205,207,208,209,211,213,214,23,216,217,219,221,222,224,225,227,229, 230,231,233,235,237,238,240,241,243,244,246,248,249,28,252,253,255,256,258,260,262,263,265,266,268, 270,271,272,274,276,277,31,279,280,282,283,285,287,288,289,291,292,293,33,296,297,299,300,302,304, 305,35,308,309,311,312,314,316,318,319,321,322,324,326,327,329,331,184,38,333,245,336,337,39,340, 341,343,344,346,348,350,351,353,354,356,357,359,361,362,42,364,365,367,369,370,372,373,375,377,378, 379,381,383,384,45,386,387,389,390,392,393,395,397,398,47,400,401,403,404,406,408,410,411,413,414, 416,418,419,421,423,424,50,426,427,429,430,432,434,436,437,439,441,443,444,445,447,449,450,452,454, 455,457,458,382,461,462,463,465,467,468,56,471,472,474,475,477,478,480,481,482,58,485,486,488,489, 491,493,494,496,497,499,500,502,503,504,506,508,509,510,512,514,515,62,518,519,521,210,523,524,526, 527,528,64,530,531,533,535,536,537,538,540,542,543,544,546,547,67,549,551,95,552,68,555,556,558, 559,435,561,563,564,566,567,569,571,572,574,576,577,71,579,580,582,584,585,587,588,590,591,592,594, 596,597,74,600,601,603,604,606,607,609,610,611,76,614,615,617,618,620,622,623,625,626,628,630,631, 633,635,636,79,639,479,641,642,644,645,647,648,649,81,651,653,654,656,658,660,661,663,664,666,668, 669,84,671,673,675,676,85,679,680,681,683,685,687,688,690,691,693,695,638,696,550,699,700,88,703, 704,706,708,709,711,713,715,716,717,719,721,722,91,724,725,727,728,730,732,733,93,736,737,738,740, 741,464,744,745,746,748,749,539,751,753,754,755,756,758,684,760,761,763,520,765,98,767,768,770,771, 773,774,776,777,779,781,782,101,783,785,787,102,790,791,793,794,796,757,799,800,802,804,805,807,808, 810,812,813,814,816,818,819,106,821,822,824,825,827,541,829,108,131,832,634,834,836,837,838,840,841, 843,845,846,848,850,851,111,853,855,857,858,112,861,862,864,866,868,869,871,872,874,876,877,878,880, 881,882,115,885,886,888,890,368,892,893,895,896,897,899,901,902,118,905,906,908,909,911,913,914,120, 917,918,218,919,759,922,923,925,166,927,929,930,931,933,498,123,936,371,938,163,940,942,944,946,947, 948,242,126,950,951,953,954,955,900,957,958,959,128,960,961,698,963,965,967,968,970,971,973,422,975, 977,978,979,981,983,985,986,988,989,991,992,994,220,996,133,999,1000,1002,1003,1005,778,1006,196,1008,1010, 1011,1012,1013,448,1015,136,1017,1019,1021,1022,137,1024,347,1026,1028,1030,1032,1033,1034,1035,1037,1039,1040,1042,1044, 1045,140,1048,1049,1051,1052,1054,1055,1056,1057,1059,1061,143,1063,1065,1066,1067,1068,1069,1071,1073,1074,146,966,1077, 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731,1351,193,1353,1355,1356,1357,1359,1361,476,1158,1364,1366,1367,1369,513,1371,1373,1374,1376,1378,1379,198,863,1382, 251,1384,1385,1387,1388,1390,1391,1393,409,1395,1397,1398,201,1400,1401,1402,873,1403,1405,1406,1407,1408,1409,1411,1413, 1414,204,1416,1417,1419,1420,1421,1423,1424,1426,1428,1429,1431,1432,1434,1435,1437,1438,1108,1440,1122,1443,646,1445,1446, 1448,1449,1450,1451,1453,1454,1456,1458,212,1460,1461,1462,820,1464,1466,1467,1469,659,1471,1473,1474,1475,1477,1479,1480, 215,1483,1484,1486,1488,1490,1492,1493,1495,1496,1498,941,1499,1500,1501,1503,1505,1507,1508,1509,1511,1512,1514,1516,1517, 1518,1520,1521,1523,1525,1526,1528,1529,1531,1532,1533,1535,226,281,1538,1540,1541,1543,1545,228,1548,345,1551,1552,1554, 1556,1557,1559,1560,1562,1564,1565,317,232,1567,1569,1570,1572,1574,667,234,1577,1578,1580,1558,1582,431,1583,1585,236, 1587,1588,1589,1590,1292,1591,1107,1593,1594,1595,380,1598,1303,1600,1007,1602,1604,1605,1487,1250,1608,1609,1611,1612,1613, 608,1615,943,612,1370,1618,643,1620,1622,1623,1625,1627,1628,247,1631,1029,1633,1634,1636,1638,1639,1640,1641,1643,1644, 250,1646,891,1648,1650,1651,1653,1655,743,1354,1658,1660,1662,1363,254,1664,1666,1667,1669,1267,1671,1672,1481,257,1675, 1676,1678,1679,1681,1683,259,1686,1687,1689,1691,1693,1694,1696,1698,1699,261,1702,1703,1705,1706,1707,1709,1710,1009,1712, 1713,1715,1716,1717,1719,997,264,1722,1723,1724,1725,1726,1728,1729,1730,1546,1733,1734,267,1737,1738,1740,1741,562,1743, 1745,1746,269,1748,1749,1606,1751,1753,1755,1756,1758,1759,1761,1763,1764,1766,1767,984,1770,1771,1772,273,1774,1775,1776, 1777,1779,1780,1782,1783,275,1786,1181,1788,1789,1791,1793,1794,1796,1134,870,1799,1800,1801,1803,1720,278,1804,1805,1807, 1809,1811,1812,674,1814,1816,1586,1818,1820,1821,1191,1823,833,1825,1826,1827,1829,1830,284,1831,1832,1833,1835,1581,1837, 1839,286,1842,1844,1846,1848,1849,1851,1852,1854,1856,1857,1859,1860,290,1861,1862,1863,1864,1866,1867,1869,1871,1872,1874, 1876,1877,1878,1879,294,1882,295,1883,1885,1004,1887,1888,844,1549,1890,1892,1894,1895,298,1897,1899,1900,1902,1904,1905, 1603,1907,1909,1911,1912,1913,301,1915,1917,1919,1920,1489,1923,1924,303,1927,1928,1930,1931,1933,1934,1936,1938,1939,342, 1942,306,1945,910,307,1078,1949,1951,1953,1910,1955,1956,1957,1959,1960,1962,1964,1965,310,1968,1970,1971,313,1974,1975, 1977,1978,1868,1981,1982,315,360,1984,1986,1988,1989,1990,1992,1993,1994,1196,1739,1996,1697,1998,1969,2000,2002,2004,320, 2007,2008,1946,2009,2010,2011,2012,2014,2015,2017,2019,323,2020,2022,2023,2025,1599,2027,325,2029,2031,1601,1850,2034,2036, 2037,2039,2040,2042,2044,2045,2046,655,2049,2050,328,2052,2054,1760,2056,2057,2059,2061,2062,330,2065,1673,640,2068,2069, 332,2070,2072,2073,1792,2075,831,334,2077,2078,335,1797,2081,2083,2084,2086,2087,2089,2090,613,2093,2094,338,2096,2097, 2098,2099,339,2102,817,2104,2106,2016,2108,363,860,2109,2111,2112,1918,420,2114,2116,2117,2119,2120,2121,2123,1313,2124, 2125,2126,2127,2128,2129,2131,2132,2133,349,1342,2135,2137,2130,2139,2140,2141,2142,2143,352,2146,2147,2148,1685,470,2149, 2150,1271,2151,1482,355,1399,2154,2156,2157,2159,2160,2162,2163,358,2166,2167,2168,575,619,1102,2172,2173,2174,2175,2177, 2178,2180,453,2182,2184,2185,2186,366,2189,2190,2191,2193,2194,2195,2196,2197,2198,2199,2200,2202,2203,1624,2206,553,1843, 2208,2210,2212,2213,1239,2215,2216,374,1768,2219,2221,2222,2224,1468,376,2227,2228,2229,2231,2232,2233,2234,2235,2236,2238, 1332,1880,2241,1163,2243,2244,939,2246,2247,2249,2250,2251,2252,2115,1140,385,2253,2254,2256,2257,2259,2261,2262,1718,1189, 2265,1147,388,1173,2266,2268,2269,2270,1999,2271,2272,2274,1896,391,2275,2277,2278,2280,2281,1853,2283,2284,2286,2101,2287, 2288,2290,2292,2293,394,2295,2179,2297,2299,2300,2301,396,2304,2305,2307,2308,2310,1983,2312,2313,2314,2315,2317,399,2318, 2320,2321,907,2322,2324,2325,2326,686,1307,2328,2329,2331,2333,937,402,2335,2336,2338,2018,2340,2342,2343,2344,405,2346, 2348,2349,2350,1381,2352,2354,2355,407,2356,678,2033,2358,2360,2361,2362,2364,2366,2367,2368,826,2370,780,2372,2374,1412, 412,2376,2377,1154,2379,2380,2382,2383,2055,2384,1043,762,415,2387,811,2389,2390,2392,2394,2395,417,2397,2398,2399,2400, 2402,2403,2404,2406,2060,2408,2410,2071,2411,2412,2414,2416,2417,2100,2419,2421,2422,2424,2425,2427,2429,2430,425,2432,2434, 2436,2373,2438,2440,2442,2443,428,2446,2447,2448,2449,469,998,2451,2381,2452,2453,554,2454,2303,433,1784,1442,1283,2458, 2460,2462,2463,1023,2465,2467,2469,2470,809,1452,2473,2475,438,2477,2478,2035,2480,2258,440,2482,2484,2486,2487,442,2489, 2491,2492,2375,568,2495,2496,2497,2498,2457,446,2499,2501,2502,2503,2505,752,1115,2507,2508,2510,2511,1790,2513,451,2515, 1152,2517,2518,2520,2311,2522,2524,2525,2527,2528,2332,2530,2532,1610,2066,1922,456,516,2535,2536,1276,2537,2539,2540,1828, 2541,2543,1278,2545,459,2391,2546,460,2549,1948,2550,1418,2551,2552,2553,2323,2554,2555,1064,2557,483,2558,2559,2560,2561, 2152,2563,2565,2566,466,2569,2347,2570,1553,2573,2574,2575,2556,2576,2577,2578,2579,2581,2582,1665,2584,2585,2586,2588,2589, 2590,473,2593,2594,2595,2597,2599,1785,2600,2289,2601,2602,2604,2606,2607,2608,2610,2611,2613,772,2615,2616,2618,2619,2621, 2622,2624,1132,2626,2627,2628,2630,2631,2632,2633,484,2634,2635,2637,1668,2638,2296,1815,2641,2642,2643,487,1510,1455,2645, 2646,2648,2649,2651,2652,490,2654,605,2337,650,2657,1337,2659,492,2661,949,2663,2664,2666,2668,2669,2670,2671,2673,2675, 2032,2677,2678,495,2680,2681,2683,2620,2684,2685,2214,1935,2688,2689,2690,2691,2692,2694,2279,2696,2697,501,2700,2701,2703, 859,2704,2705,2706,2707,2709,2710,505,1504,2713,2715,2717,1875,2674,1808,2719,2720,995,2722,2723,2725,1891,2728,2730,2731, 2267,2662,2533,511,1967,2734,2735,2737,2091,2738,2740,1750,1441,2743,2744,517,2746,2747,1787,595,1642,1937,2548,2751,2753, 2754,1001,522,2757,2758,2760,1135,1649,2763,2764,2765,525,2767,1995,2003,2771,1884,2773,2774,2775,2080,2777,529,2780,2781, 2783,1231,980,532,1810,534,2786,2787,2788,1243,2790,2791,2793,2794,2795,2797,1661,2187,865,2799,2800,2802,2804,2756,2807, 2733,2808,2810,586,545,2811,2813,2814,2816,2817,2819,2820,2821,2823,2824,548,883,2826,2828,2830,2832,2834,2836,2838,2369, 1070,665,2841,2842,2843,2845,2846,2848,2739,2849,2850,2852,2854,2855,1530,2857,2858,2859,2861,2862,557,2865,2209,1038,2866, 2623,1203,2868,560,2869,2523,1550,2872,2873,2874,1120,2876,2878,2864,1513,565,2879,2881,2158,2882,2883,2359,1352,570,1131, 2886,2888,2890,2892,2893,573,2895,701,2113,2897,2899,2181,1701,1752,2900,2901,2902,578,2905,2907,2909,2911,2912,2914,2916, 2917,581,2918,1944,2920,2922,2923,583,2542,2926,2927,2928,2285,2930,2547,2932,2934,1950,2936,2938,720,2940,2941,2076,1536, 2944,2945,2946,2948,2950,2951,589,974,2953,2955,2413,2169,2958,2959,2961,2962,2964,2067,2965,593,2967,2968,1629,2970,1700, 1318,2972,2973,2974,2975,2977,2978,2980,2981,2982,1961,2984,2898,2986,599,884,2988,2990,2991,2992,2994,692,602,2997,2192, 2999,2341,3000,3002,3003,3005,2960,3007,3008,3010,3012,3013,2043,3015,3016,839,3018,3020,3021,1958,921,3023,3024,3026,657, 2625,1979,3029,1392,3031,3032,3034,3036,1674,3038,3039,3041,3042,616,742,3043,3044,3045,3047,3049,3050,3052,3054,789,2464, 2587,621,3058,1404,2989,3060,3061,1736,1626,624,2880,3064,2514,3066,3067,797,3069,3070,3071,2051,627,3073,935,629,3075, 3076,2665,1472,2371,3079,3080,2644,2699,632,3082,3084,3068,3086,3087,904,3089,1732,3092,1663,1893,3093,3095,637,2063,3096, 2837,3097,3098,2423,3099,1396,1110,726,1018,1657,3101,2761,3103,3104,3105,2745,1062,987,1476,2538,3108,2426,3110,3111,1104, 3112,3114,3116,2853,1980,1537,3118,2155,2041,3119,2612,3121,3122,3124,3001,3126,3128,3129,3130,3131,2726,3134,3136,3137,3138, 662,3141,3143,1372,3145,3146,2079,3148,1976,3150,2319,3152,2431,1375,3154,2656,670,1684,3155,3157,3151,3159,823,3161,3162, 3163,672,3166,3167,3169,3170,3171,3172,3173,677,3175,3177,3178,2153,3180,3063,3181,2860,3183,3184,2856,856,764,3186,682, 2468,1324,3190,2919,3192,3193,3194,2736,1494,689,3197,1762,2947,3199,1838,3202,3203,3204,1274,1270,3206,2353,3208,3210,694, 1360,2122,3213,2095,1819,697,3216,2998,3218,1522,2766,3220,1224,3139,2188,1156,3222,3223,3225,1346,3227,702,3229,3231,3232, 705,3234,3235,3237,3238,3239,707,2526,3241,2459,3244,3245,3246,3247,710,2291,3249,712,1903,3251,3196,3252,3253,714,1921, 3256,3258,3260,3261,1166,1339,3264,3266,3267,3269,3270,718,3272,3273,3274,3276,3277,2906,3278,723,3280,3281,1171,3282,3065, 2393,3284,3285,3286,2614,3287,3289,3290,2242,3291,3292,3293,729,3265,920,3297,3298,842,3300,1802,2894,3301,3302,3303,3304, 1081,803,3305,3306,2954,734,2118,2494,735,3308,3309,3149,3310,3187,3312,3314,1236,3315,739,3317,3319,1519,3320,3321,1515, 3323,2058,3324,2201,1465,2445,1112,3328,3330,3332,3333,2500,3334,3335,747,3337,3339,3340,2481,2433,1260,1972,2105,2796,3345, 3346,2985,2676,3347,3348,3189,3350,3351,3353,2687,3355,3356,2006,3358,3360,3361,2306,2851,1311,3364,2230,3367,3288,3368,2931, 1645,2013,766,3371,3372,795,3182,3373,2330,769,3375,3376,3378,3090,2605,3381,2490,2863,3383,3384,2437,2650,2640,1670,3387, 3388,3390,2749,3391,3392,2405,3394,3359,3396,3397,3399,3400,784,3402,1926,786,3405,3336,3407,2479,3408,788,3409,3411,2145, 3412,3393,3413,3415,3416,3417,1041,798,3028,2428,1497,1711,801,3423,1296,3425,3366,1932,3426,3198,2509,2913,1677,3429,1747, 806,3430,3431,2695,3432,3433,1901,3434,3135,3436,3438,932,2591,3395,3120,2617,3030,1680,3441,3443,3444,3445,3447,815,3448, 3313,1654,3450,1941,1058,3453,3454,3455,3456,982,2875,1966,3091,2822,3418,3459,3460,1547,1544,3462,2686,879,3465,2896,3467, 3469,2987,828,3472,915,830,3474,3475,3476,3477,835,1607,2983,3479,3481,3482,1459,3074,3484,2144,1179,3487,1145,3489,3326, 2205,1215,3492,3493,3494,3495,847,3496,3497,3498,849,3499,3100,3501,2784,3502,2891,3503,990,852,3504,3370,3506,3507,3508, 2263,854,1731,3109,3511,3512,3513,3311,3515,3516,2485,3059,3518,3519,2729,3217,2471,1906,3062,3471,2351,2949,3521,3522,3520, 3524,3349,3525,1847,3527,3528,3259,2815,3531,3532,867,3535,1425,3537,1688,3538,2782,1630,1765,3540,3541,2779,3544,1806,3094, 3546,875,972,3548,3549,1873,3551,2444,1046,3552,3553,3554,3556,1576,3557,3558,3559,2639,1539,3561,1690,3035,3563,1845,3566, 3567,2721,2636,3569,3571,3572,3398,3574,2021,887,1463,3576,3107,3578,889,2672,3581,1168,3583,3585,3586,3587,2889,3589,3590, 894,3592,3593,3595,3363,2762,3598,3599,898,2264,3600,3601,2778,3603,2718,3604,3200,3342,903,1470,3608,3610,3611,3613,3295, 1682,1072,1447,3617,3271,3618,3619,2047,3621,912,3623,2812,2161,2483,3624,916,3626,1566,3627,3628,1744,3530,3630,3125,3631, 3632,3633,3634,3240,3635,3636,3637,3560,924,3639,3640,3153,2276,3486,3641,2708,928,3565,3463,3643,3644,3645,934,3646,2239, 3509,3648,3649,1293,3650,3144,2969,3651,2134,945,3243,3325,1991,3542,2714,2908,3655,3514,3654,3657,2334,1940,3659,3660,3661, 952,3662,2248,3663,1491,3664,3209,3665,956,3667,3669,3670,3380,2963,3671,3570,3672,3674,3675,3677,3255,3679,964,3573,3681, 2867,3682,3683,2504,3684,2971,969,3605,3686,3687,3688,2785,3113,3690,1386,3691,3692,3693,3694,3695,1754,3488,2226,3697,3165, 3699,3205,3701,2921,3702,1444,3704,3705,3579,3435,2456,3707,3708,1305,2488,3710,2769,3712,993,3713,3053,1704,1592,2966,3714, 3715,3622,3248,3716,1916,3718,3719,3720,3721,1742,2925,3722,2220,3723,3545,1025,3406,3724,3725,2806,2237,2260,3727,3728,1778, 3389,3730,2603,3647,3442,3668,3732,3580,3275,3733,3403,1016,3734,3735,3449,2455,3483,3736,3374,1349,1020,3738,3726,1621,1575, 3739,3740,2534,2572,3742,1027,3743,3744,3195,2110,3746,3747,3748,1031,3750,2024,3751,3451,3404,1757,2544,1086,3753,1568,3755, 1036,3011,3757,3698,3759,2801,3761,3652,3201,3762,2420,3764,3458,1047,2903,3766,3767,1083,1584,3769,3770,1050,3772,3773,1579, 3437,1053,1076,3329,3500,3046,3568,1299,3781,1836,3629,1060,1542,1383,2583,1632,2839,2571,3784,3786,2092,3468,3788,3790,3791, 1201,3792,2768,1485,2240,3794,3440,3796,2831,3797,1127,3798,2298,1075,3800,1692,1394,2885,3801,3642,3803,1708,3782,2835,3805, 3806,3446,1085,3807,3774,3575,3809,3811,1118,1090,3226,3539,3814,3085,3816,1256,3817,2385,3758,1212,1099,3343,3490,1439,1334, 1781,3689,2929,3369,3823,3824,3825,1943,3826,3827,3828,2171,3606,3588,3830,3706,3250,3831,1727,2829,3832,1908,2562,3294,1656, 3835,3836,3106,2752,3775,3338,3838,3840,3584,2048,3331,3842,3473,3318,3577,3844,2401,3591,3821,3845,3846,3847,3848,3849,1143, 2887,3851,3852,1914,2798,1150,3480,2085,3854,3855,3857,2365,3858,3014,3859,2748,3860,1160,3424,3862,2598,2409,3863,1822,2165, 2339,3865,2818,3316,3533,3804,2345,2844,3212,3867,3868,2877,2759,3869,3609,3421,1635,3871,3612,3872,3873,2038,3763,3875,1186, 3856,2755,3878,1773,1614,1193,3088,3880,3410,3882,3883,2592,3653,1197,1563,1813,3884,3057,3051,3009,1865,1573,2568,3888,3889, 1208,2996,3341,3891,3892,3893,3894,3543,3056,3354,3895,3594,1997,3896,1218,3377,2792,1220,2776,3900,1226,1952,2629,3877,3596, 3461,1229,3219,2924,3025,3905,3188,3906,3907,3908,3158,1234,3910,3911,1240,3913,1344,3914,3915,3550,2531,3916,3918,1246,3919, 1248,3004,3268,2870,3081,1252,2825,1254,3850,3703,2840,3922,2693,3923,1322,3254,2138,3799,2727,1362,1262,3925,2107,1659,1534, 1265,1597,3327,3810,3904,3427,3926,2653,2827,3927,1619,3912,2741,1316,3928,1637,2415,3930,3931,3638,3933,3517,3934,3818,1280, 3897,3917,3936,1285,3428,2939,3937,3938,1647,1288,3940,3221,3941,3040,1817,3233,3903,2461,3944,3382,3945,3946,3947,3949,3950, 3027,3491,3452,3952,3615,2580,3783,3470,3780,1898,3955,3562,3815,2466,1925,1561,1524,3754,3957,3959,2609,3352,3961,1695,3963, 3833,2519,2103,2294,3964,3965,2995,2512,3808,2088,2255,3263,3968,1652,3970,3971,1616,1430,1358,3973,3037,2698,3717,3974,3236, 3422,1365,3685,3006,3547,1368,3920,3977,3283,2711,2943,3666,1377,3979,3870,1410,3779,3972,1380,2976,3813,3185,3982,3898,3771, 1858,1389,3802,1555,3055,2327,3765,2357,3228,3620,2979,3960,3987,3789,2030,2910,3956,3414,3992,1415,3993,2225,3981,1422,3998, 3839,1427,3999,3969,3962,3385,1433,3709,2136,1436,4002,3478,3954,2702,4004,3214,3778,3322,4005,3777,4007,3890,4009,4010,2363, 1457,4012,3822,1834,1987,2833,1824,4014,3984,3819,4015,3019,4017,4018,2064,3582,1478,3033,3976,3935,4022,4023,3505,1947,3597, 3132,3879,2506,4024,4025,4026,1527,2472,1502,3168,3142,3680,4028,2388,1506,4030,3439,3990,2170,4031,3678,4020,3386,4032,3614, 3760,3866,1881,3958,4036,4037,3729,4038,4011,1929,2223,3909,3996,2204,2378,4039,2682,4040,3995,2667,3207,2993,2712,1973,3191, 3939,3921,2716,3741,1571,1596,3881,2942,4042,4043,3607,3787,4044,2567,4045,3980,2647,4046,3902,3876,3997,4048,4049,2207,3457, 4052,3536,3929,4054,3174,4055,2952,1617,2082,3793,2407,4058,4059,4057,2418,3083,2521,3749,4063,3853,3257,3932,4064,2441,3942, 4065,2742,3975,3656,3752,2915,3700,3874,2658,2933,4067,4068,3924,2053,4033,4069,3985,3966,4070,1985,1870,3140,4072,3785,1714, 2937,4035,1798,4073,1721,2217,3357,3978,3986,2564,4060,4008,4074,3211,1735,3837,4076,4077,4078,3658,4051,2435,4079,2273,3147, 2660,1769,3072,3164,4082,2750,3077,2309,1840,4083,4084,2789,2679,4006,3951,1795,2245,3887,2904,3901,1954,3861,4087,2772,4016, 4047,3885,4021,2655,4089,4000,4081,2218,1841,1963,4091,4092,1855,4094,3745,2282,3296,4095,3510,4001,4096,3899,1886,1889,4066, 2396,2439,2316,2935,4061,3829,4097,3625,2026,3299,4098,2957,3420,3102,3230,3994,3419,3776,3564,3344,4050,4099,2956,4101,4075, 4102,2474,3602,2001,2005,2770,3523,4104,3127,3526,3534,3242,3224,4056,2028,4071,2803,2516,4107,3115,3943,3485,3820,2529,4108, 2871,3307,2074,3696,2476,4085,4027,4041,4110,2805,4080,2176,4111,4034,3768,3262,4093,4112,2164,2724,4105,3048,4100,2183,4029, 3731,3017,4109,3756,4113,3379,3841,4114,2211,4088,3864,3843,4116,2302,3988,3737,4106,3953,3179,3529,3983,4115,3616,3156,3673, 4118,3711,3215,3991,2732,2450,2809,3967,2386,4119,4120,3834,3362,3555,3401,3989,2596,3948,4121,2493,3160,4103,4122,3466,3676, 4013,3133,3279,3022,4117,4086,4124,3078,4019,3365,3123,4090,2884,2847,3176,4123,4062,4003,4125,3886,3117,3812,3464,4053,3795] >; print "Group G is HS < Sym(4125)";