b21 := (1,3,5)(2,6,15,37,90,113,47,19,7)(4,10,25,61,143,165,71,29,11)(8,20,49, 117,268,285,124,52,21)(9,22,54,127,292,312,136,58,23)(12,30,73,169,386, 402,176,76,31)(13,32,77,178,406,423,187,81,33)(14,34,83,191,427,443,199, 86,35)(16,39,95,134,307,493,224,97,40)(17,41,99,228,500,517,236,102,42) (18,43,103,238,520,534,245,106,44)(24,59,138,316,667,641,302,131,56)(26, 63,148,339,706,717,345,150,64)(27,65,151,347,720,730,354,154,66)(28,67, 155,356,733,747,363,158,68)(36,87,201,447,900,912,455,204,88)(38,92,212, 472,418,185,215,216,93)(45,107,247,537,1053,1057,541,249,108)(46,109,250, 543,1061,1071,550,254,110)(48,114,261,563,1094,1103,568,264,115)(50,119, 273,585,1136,812,396,173,75)(51,120,275,589,1143,829,596,278,121)(53,125, 287,582,271,118,270,182,79)(55,129,297,559,259,558,635,299,130)(57,132, 303,643,1224,957,648,306,133)(60,140,321,677,1283,1288,682,324,141)(62, 145,332,553,256,111,255,336,146)(69,159,364,749,994,503,756,367,160)(70, 161,368,758,1047,533,765,372,162)(72,166,380,781,1423,1432,786,382,167) (74,171,391,803,1043,993,502,229,172)(78,180,411,834,899,1329,707,340, 181)(80,183,415,442,892,1176,614,417,184)(82,188,407,830,1479,815,397, 174,189)(84,193,431,868,1546,1554,874,433,194)(85,195,434,876,1556,1572, 882,437,196)(89,205,457,916,1616,1622,920,460,206)(91,209,465,930,567, 1102,875,469,210)(94,217,478,252,546,1064,839,414,214)(96,220,485,963, 1678,986,806,393,221)(98,225,207,461,922,1529,854,496,226)(100,230,504, 996,837,412,836,507,231)(101,232,274,587,1140,1738,1008,510,233)(104,240, 523,1019,516,1018,1035,526,241)(105,242,527,1036,1321,703,699,333,243) (112,257,554,1077,1813,1820,1083,557,258)(116,265,570,1107,1845,1854, 1114,573,266)(122,279,379,780,1421,1894,1147,600,280)(123,281,355,731, 1354,1073,552,601,282)(126,289,615,1178,1932,1883,1181,617,290)(128,294, 625,1195,1372,742,360,157,295)(135,308,649,1236,1982,1991,1243,653,309) (137,313,661,1257,2006,1606,908,453,314)(139,318,394,807,1467,1151,1086, 673,319)(142,325,684,1292,1887,1945,1299,687,326)(144,329,692,1308,1177, 1931,1316,696,330)(147,337,702,1322,2065,1509,838,413,334)(149,341,709, 1331,1965,1220,1332,711,342)(152,349,296,628,1200,1943,1191,624,350)(153, 351,272,583,1132,678,1284,727,352)(156,358,736,1362,1040,529,1039,739, 359)(163,373,767,796,387,795,1401,770,374)(164,375,771,1403,1759,1028, 1413,775,376)(168,383,788,1326,934,467,211,470,384)(170,388,798,1451, 1339,2067,1455,800,389)(175,398,642,1222,1967,2168,1484,819,399)(177,403, 826,1494,1583,889,440,198,404)(179,408,426,190,425,857,647,305,409)(186, 419,844,1515,2197,1753,1020,848,420)(192,429,864,1541,2216,1972,1394,766, 430)(197,438,494,981,685,1294,1580,886,439)(200,444,895,1589,2257,2130, 1430,847,445)(202,449,905,1602,2041,1878,1129,581,450)(203,451,335,700, 1319,1646,1605,907,452)(208,462,924,1626,1303,689,327,688,463)(213,474, 947,1534,2212,1843,1106,710,475)(218,480,954,1671,2302,2198,1517,846,481) (219,482,956,1672,2087,1366,738,960,483)(222,487,967,1684,2038,2314,1690, 970,488)(223,489,971,1691,2316,2326,1697,974,490)(227,497,898,446,897, 1591,1643,939,498)(234,511,540,1056,835,1212,1742,1011,512)(235,513,1012, 1743,1351,1338,1199,1015,514)(237,518,1023,755,1384,1215,638,301,519) (239,521,599,1155,1880,1131,593,277,522)(244,530,1041,1776,2362,2284, 1635,1045,531)(246,535,1050,1783,2048,2142,1447,1051,536)(248,538,950, 477,949,1663,1619,919,539)(251,544,551,1072,1809,1239,651,1063,545)(253, 405,827,1223,1969,2376,1801,1066,547)(260,560,1087,659,1254,2002,1258, 662,561)(262,564,657,311,656,1248,1775,1098,565)(263,390,801,1457,2147, 2389,1839,1101,566)(267,574,646,304,645,1228,1862,1118,575)(269,578,1124, 1624,921,1623,1876,1127,579)(276,591,1145,1892,2046,1297,1255,660,592) (283,602,1157,1161,1586,2254,1901,1158,603)(284,604,1159,1815,1079,555, 1078,1162,605)(286,608,1168,1912,1571,2242,1851,1112,609)(288,612,1173, 1923,2276,2426,1929,1175,613)(291,618,1183,1935,1496,1968,1647,1186,619) (293,622,1190,1942,2253,1584,1182,1193,623)(298,631,1205,1951,2100,2317, 1952,1207,632)(300,636,410,832,1501,1185,1936,1213,637)(310,654,1244,872, 1551,2153,1995,1247,655)(315,664,1261,926,464,928,1631,1263,665)(317,669, 1014,1346,725,1336,2023,1273,670)(320,674,1277,2027,1807,1270,1431,1280, 675)(322,679,1164,606,1163,1461,1453,799,680)(323,681,1286,1771,1852, 1113,1459,802,633)(328,690,1304,1553,873,1552,2052,1306,691)(331,697, 1318,1939,1655,1347,726,1312,694)(338,704,757,1387,2103,1749,1519,1325, 705)(343,712,1333,1110,571,1109,1744,1013,713)(344,714,1235,1981,2351, 1757,1480,816,590)(346,718,813,1476,1465,985,1642,938,719)(348,721,1034, 1770,2185,1504,2073,1342,722)(353,728,1349,1971,2424,2122,2079,1352,729) (357,734,1360,2081,2181,1565,879,436,735)(361,743,468,935,501,992,1027, 1376,744)(362,745,695,1313,1612,2169,1485,991,746)(365,750,715,1189,621, 768,1397,817,751)(366,752,959,1673,1368,740,1367,1382,753)(369,759,509, 1005,1735,2350,2104,1388,760)(370,761,1389,2106,2236,1562,878,435,762) (371,763,1390,1225,1970,2396,1848,1393,764)(377,776,1415,2121,1796,2372, 2037,1416,777)(378,778,1417,1406,772,1405,2113,1419,779)(381,783,1065, 1800,1337,1206,1723,1427,784)(385,791,1439,1788,2068,1334,1974,1442,792) (392,804,1463,1884,1137,1601,918,459,805)(395,808,1365,737,1364,2085, 2155,1469,809)(400,820,1486,2171,1821,1084,858,1374,821)(401,822,1487, 2173,1811,1075,1810,1489,823)(416,840,1510,1866,2318,1692,972,1511,841) (421,849,1520,1100,1227,644,1226,1523,850)(422,851,479,953,1669,2300, 2205,1526,852)(424,476,845,1516,2159,2484,2209,1531,855)(428,861,1537, 1986,2301,1670,1667,952,862)(432,870,1549,2226,2496,2471,2228,1550,871) (441,890,1105,569,1104,1240,652,955,891)(448,902,1596,2092,1832,1093, 1400,1600,903)(454,909,588,1141,1197,626,1196,1607,910)(456,913,1150,595, 698,893,1588,1613,914)(458,888,1582,2194,1773,2335,1708,982,495)(466,932, 1638,2285,2399,2505,2286,1639,933)(471,940,1645,2031,1279,2030,2005,1648, 941)(473,944,754,1383,2101,2117,1411,1656,945)(484,961,1674,1581,887, 1345,724,1340,958)(486,965,1574,883,1573,1000,506,999,966)(491,975,1253, 658,1252,2001,1418,1701,976)(492,977,1042,1777,2322,1695,2321,1705,978) (499,988,1712,2116,1408,773,1407,1714,989)(505,997,1722,2243,2370,1922, 2201,1725,998)(508,1003,1731,2347,1924,2425,2349,1734,1004)(515,1016, 1747,2220,2332,2131,2354,1750,1017)(524,1030,1493,2179,1746,1658,1375, 1765,1031)(525,1025,1664,2066,2458,2264,2361,1767,1032)(528,1037,1081, 556,1080,833,1503,1358,1038)(532,1026,894,1062,1797,1290,683,1289,1046) (542,1058,1794,2369,2174,1488,1709,984,1059)(548,1067,863,1539,885,1577, 1134,584,1068)(549,1069,1341,2072,2054,1309,2053,1805,1070)(562,1091, 1192,1944,1733,2348,1897,1156,1092)(572,748,1160,1903,2148,2479,2398, 1850,1111)(576,1119,1498,828,1497,1468,2154,1864,1120)(577,1121,1171,611, 1170,1402,2111,1869,1122)(580,1128,1877,1426,1300,1599,1353,1874,1126) (586,1138,1597,2178,2206,1977,1230,1095,1139)(594,1148,1831,2161,1474, 2018,2262,1595,1149)(597,980,1707,2026,1276,672,1275,1717,1153)(598,859, 1074,634,1208,1514,1814,1764,1154)(607,1165,1540,1849,2083,1361,2082, 1908,1166)(610,1169,1915,2360,1913,2419,2077,1350,867)(616,1179,1798, 1868,1620,2013,1847,1348,1180)(620,1187,1938,1727,2107,1391,1891,1941, 1188)(627,1198,1946,1271,671,1274,2024,1879,1130)(629,1201,1611,1525, 2203,2395,2255,1587,1194)(630,1202,1948,2019,1268,668,1267,1830,1203) (639,1216,1233,1096,1630,927,1302,1964,1217)(640,1218,1585,1793,1560, 2192,1933,1495,1219)(650,1237,1984,2239,1567,880,1566,1184,1238)(663, 1259,1739,1009,1049,1782,2337,2008,1260)(666,1264,2012,1262,2011,1928, 1324,1363,1265)(676,1281,1987,2441,2115,2280,2428,2034,1282)(686,1295, 915,1614,2269,1696,2323,2045,1296)(693,1310,2056,2143,2281,2411,1896, 1152,1311)(701,1320,2063,1713,1099,1836,2273,1846,1108)(708,1330,1425, 782,1307,1344,723,1343,1327)(716,1144,1890,2312,2467,2397,2215,2071,1335) (732,1356,1826,1089,923,1482,818,1481,1357)(741,1369,1404,2112,2469,2352, 1860,1786,1052)(769,1398,2110,2230,1898,1454,831,1499,1399)(774,1409, 1961,1745,1359,1881,1285,1438,1410)(785,1428,1456,2145,1825,1088,1824, 2129,1429)(787,1433,1386,1985,2382,1818,1082,1779,1434)(789,1435,1458, 2149,2235,1570,2241,2132,1436)(790,979,1706,2275,1625,2078,2182,1500, 1437)(793,1443,2139,2438,2137,1441,2136,2140,1444)(794,1445,1677,2305, 2004,1256,917,1617,1446)(797,1450,1715,990,1422,2126,1618,1781,1448)(810, 1470,1711,1778,1044,1024,1758,2156,1471)(811,1472,2157,2444,2109,1522, 2200,2160,1473)(814,1477,1716,1022,1756,2291,1906,1865,1478)(824,1490, 1604,906,1603,2190,1785,1812,1076)(825,1491,2177,2490,2207,1528,853,1527, 1492)(842,1048,1449,2144,1634,2283,2491,2193,1512)(843,896,1464,1242, 1990,2088,1787,2196,1513)(856,1532,2210,2486,2343,2297,2256,2211,1533) (860,1535,2040,1291,2039,2180,1724,2213,1536)(865,1543,2221,2493,2406, 1916,2076,2222,1544)(866,1545,2208,1530,1462,2151,2289,1640,936)(869, 1547,2223,2494,2513,2470,2114,2225,1548)(877,1558,2099,2152,1466,1241, 1989,1662,1559)(881,1568,2195,2293,2485,2355,1751,2240,1569)(884,1575, 1732,2183,1926,1174,1925,1699,1576)(901,1373,1396,2108,2468,2165,2341, 1806,1594)(904,1371,2091,2463,2202,1960,1994,2010,1598)(911,1301,2049, 2446,2025,2172,2334,2267,1608)(925,1628,1983,2233,1561,1940,1882,1133, 1629)(929,1632,2282,2125,2128,2460,2405,1871,1633)(931,1636,1578,2248, 2459,2187,1507,2084,1637)(937,1395,1755,1021,1754,2252,2029,1278,1641) (942,1649,2292,2133,2454,2047,1298,1452,1650)(943,1651,2294,2483,2464, 2164,2342,1726,1652)(946,1657,2146,2478,2310,2356,1803,2009,1654)(948, 1660,1060,1524,983,1323,1385,2102,1661)(951,1665,1834,1097,1833,1538, 1210,1954,1666)(962,1675,1837,2331,1704,2247,2502,2304,1676)(964,1679, 1900,1249,1998,2435,2000,1251,1680)(968,1685,1006,1736,2298,1795,2371, 1918,1686)(969,1687,2311,1934,2032,2448,2339,1721,1688)(973,1693,1902, 1774,2064,1381,2098,2320,1694)(987,1683,2308,2158,2442,2163,1475,2162, 1710)(995,1718,1772,2227,2432,2492,2386,1835,1719)(1001,1728,1659,2296, 1873,1125,1872,2258,1644)(1002,1729,2344,1804,1245,1992,1681,2307,1730) (1007,1720,1392,1973,2123,2473,2359,1766,1737)(1010,1740,1653,2295,2408, 1893,1146,1317,1741)(1029,1760,1508,1055,1791,1506,2186,1927,1761)(1033, 1768,2093,1752,1962,1886,2407,2075,1769)(1054,1789,2306,2461,2089,2358, 1763,2229,1790)(1085,1822,2299,2120,1414,2119,2127,1424,1823)(1090,1827, 2176,1682,2074,1930,2427,2345,1828)(1115,1855,2385,1859,1117,1840,2390, 2188,1856)(1116,1857,2365,2303,1700,2328,2509,2401,1858)(1123,1870,1885, 1590,2259,2403,1863,1621,1867)(1135,1370,2090,2462,2272,1615,2271,1966, 1221)(1142,1888,1976,1229,1975,2374,1799,2373,1889)(1167,1909,2415,2044, 2033,2449,2290,1937,1910)(1172,1921,2423,2378,2261,1593,1355,2080,1919) (1204,1950,2431,2457,2061,1956,1211,1955,1949)(1209,1460,2150,2481,2520, 2440,2500,2422,1953)(1214,1958,1905,2214,2324,1853,2400,2028,1959)(1231, 1829,2364,2266,2472,2474,2519,2437,1978)(1232,1979,1997,1817,2277,1627, 2138,2124,1420)(1234,1980,2051,1305,2050,1518,2199,1907,1875)(1246,1993, 1668,2003,2381,2353,1748,1963,1802)(1250,1999,2443,2451,2060,1917,1609, 2118,1412)(1266,2015,2274,2384,2515,2516,2410,2433,2016)(1269,2020,2017) (1272,2021,2414,2086,2141,2477,2456,2057,1314)(1287,2035,2278,2315,2497, 2487,2166,1521,2036)(1293,2042,2450,2388,1838,2387,2279,2452,2043)(1315, 2058,2338,2170,2246,2325,2268,2418,2059)(1328,1844,2394,2135,1440,2134, 2265,2288,2022)(1377,1996,2249,1579,2234,2368,2402,1861,1904)(1378,2094, 1563,2237,1957,1505,1592,2260,2095)(1379,2096,2439,2417,1911,2416,2270, 2204,2097)(1380,1483,2167,2430,2413,2436,2475,2393,1842)(1502,2184,2219, 1542,2218,1689,2313,2377,1808)(1555,2105,2465,2489,2175,2488,2453,2499, 2231)(1557,1610,2189,1819,2383,2244,2420,1914,2232)(1564,2191,2379,1816, 1780,1703,2330,2217,2238)(1698,1899,1784,1920,2224,2495,2319,2508,2327) (1702,1762,2357,2476,2504,2251,2466,2510,2329)(1792,2366,2340,2501,2245, 2346,2014,2263,2367)(1841,2391,2507,2309,2447,2062,1988,2404,2392)(1895, 1947,2007,2412,2517,2498,2518,2429,2409)(2055,2375,2455)(2069,2445,2070, 2421,2512,2514,2434,2506,2287)(2250,2503,2333,2480,2363,2482,2336,2511, 2380);