b21 := (1,3,6)(2,4,8)(5,9,13)(7,11,16)(10,14,20)(12,17,24)(15,21,29)(18,25,33)
     (19,26,35)(22,30,39)(23,31,41)(27,36,47)(28,37,49)(32,42,55)(34,44,58)
     (38,50,65)(40,52,68)(43,56,73)(45,59,77)(46,60,79)(48,62,82)(51,66,87)
     (53,69,91)(54,70,93)(57,74,98)(61,80,105)(63,83,109)(64,84,111)(67,88,
     116)(71,94,123)(72,95,125)(75,99,130)(76,100,132)(78,102,135)(81,106,140)
     (85,112,147)(86,113,149)(89,117,154)(90,118,156)(92,120,159)(96,126,166)
     (97,127,168)(101,133,175)(103,136,179)(104,137,181)(107,141,186)(108,142,
     188)(110,144,191)(114,150,198)(115,151,200)(119,157,207)(121,160,211)
     (122,161,213)(124,163,216)(128,169,223)(129,170,225)(131,172,228)(134,
     176,233)(138,182,240)(139,183,242)(143,189,249)(145,192,253)(146,193,255)
     (148,195,258)(152,201,265)(153,202,267)(155,204,270)(158,208,275)(162,
     214,282)(164,217,286)(165,218,288)(167,220,291)(171,226,298)(173,229,302)
     (174,230,304)(177,234,309)(178,235,311)(180,237,314)(184,243,321)(185,
     244,323)(187,246,326)(190,250,331)(194,256,337)(196,259,341)(197,260,343)
     (199,262,346)(203,268,353)(205,271,356)(206,272,251)(209,276,361)(210,
     277,363)(212,279,366)(215,283,371)(219,289,377)(221,292,381)(222,293,383)
     (224,295,386)(227,299,391)(231,305,398)(232,306,400)(236,312,407)(238,
     315,411)(239,316,413)(241,318,416)(245,324,423)(247,327,427)(248,328,429)
     (252,332,434)(254,334,437)(257,338,442)(261,344,449)(263,347,452)(264,
     348,454)(266,350,457)(269,339,443)(273,358,466)(278,364,473)(280,367,476)
     (281,368,478)(284,372,482)(285,373,484)(287,375,487)(290,378,491)(294,
     384,497)(296,387,501)(297,388,503)(300,392,508)(301,393,510)(303,395,513)
     (307,401,519)(308,402,521)(310,404,524)(313,408,529)(317,414,536)(319,
     417,540)(320,418,542)(322,420,545)(325,424,550)(329,430,557)(330,431,559)
     (333,435,564)(335,438,568)(336,439,570)(340,444,576)(342,446,396)(349,
     455,588)(351,458,592)(352,459,594)(354,461,597)(355,462,599)(357,464,602)
     (359,467,606)(360,468,608)(362,470,611)(365,447,579)(369,479,621)(370,
     480,623)(374,485,629)(376,488,633)(379,440,571)(380,492,638)(382,494,641)
     (385,498,646)(389,504,653)(390,505,655)(394,511,661)(397,514,665)(399,
     516,668)(403,522,675)(405,525,679)(406,526,681)(409,530,686)(410,531,688)
     (412,533,691)(415,537,696)(419,543,703)(421,546,707)(422,547,709)(425,
     551,714)(426,552,716)(428,554,719)(432,560,726)(433,561,728)(436,565,733)
     (441,572,741)(445,577,747)(448,580,751)(450,582,754)(451,583,756)(453,
     585,759)(456,589,764)(460,595,771)(463,600,776)(465,603,780)(469,609,787)
     (471,612,791)(472,613,793)(474,615,596)(475,616,797)(477,618,800)(481,
     624,807)(483,626,810)(486,630,815)(489,634,820)(490,635,822)(493,639,827)
     (495,642,831)(496,643,833)(499,647,838)(500,648,840)(502,650,843)(506,
     656,850)(507,563,730)(509,658,853)(512,662,858)(515,666,863)(517,669,867)
     (518,670,869)(520,672,872)(523,676,877)(527,682,884)(528,683,886)(532,
     689,893)(534,692,897)(535,693,899)(538,697,904)(539,698,906)(541,700,909)
     (544,704,913)(548,710,920)(549,711,922)(553,717,929)(555,720,933)(556,
     721,935)(558,723,938)(562,729,945)(566,734,951)(567,735,953)(569,737,956)
     (573,742,962)(574,743,964)(575,744,966)(578,748,971)(581,752,753)(584,
     757,980)(586,760,984)(587,761,986)(590,765,991)(591,766,993)(593,768,996)
     (598,773,1002)(601,777,1007)(604,781,1012)(605,782,1014)(607,784,1017)
     (610,788,1022)(614,794,1029)(617,798,1034)(619,801,1038)(620,802,1040)
     (622,804,1043)(625,808,1048)(627,811,1052)(628,812,1054)(631,816,1059)
     (632,817,1061)(636,823,1068)(637,824,1070)(640,828,1075)(644,834,1082)
     (645,835,1084)(649,841,1090)(651,844,1094)(652,845,1096)(654,847,1099)
     (657,851,1104)(659,854,1107)(660,855,1109)(663,859,1114)(664,860,1116)
     (667,864,1121)(671,870,1128)(673,873,1132)(674,874,1134)(677,878,1137)
     (678,879,1139)(680,881,1142)(684,887,1149)(685,888,1151)(687,890,1154)
     (690,894,1159)(694,900,1166)(695,901,1168)(699,907,1175)(701,910,1179)
     (702,718,930)(705,914,1184)(706,915,1186)(708,917,1189)(712,923,1195)
     (713,924,1196)(715,926,1199)(722,936,1209)(724,939,1213)(725,940,1215)
     (727,942,1218)(731,947,1224)(732,948,1226)(736,954,1233)(738,957,1237)
     (739,958,1239)(740,959,1241)(745,967,1250)(746,968,1252)(749,972,1257)
     (750,973,1259)(755,977,1264)(758,981,1269)(762,987,1276)(763,988,1278)
     (767,994,1285)(769,997,1289)(770,998,1291)(772,1000,1293)(774,1003,1296)
     (775,1004,1298)(778,1008,1303)(779,1009,1305)(783,1015,1312)(785,1018,
     1316)(786,1019,1318)(789,1023,1322)(790,1024,1324)(792,1026,1327)(795,
     1030,1332)(796,1031,1334)(799,1035,1339)(803,1041,1346)(805,1044,1349)
     (806,1045,1351)(809,1049,1356)(813,1055,1363)(814,1056,1365)(818,1062,
     1372)(819,1063,1374)(821,1065,1376)(825,1071,1383)(826,1072,1385)(829,
     1076,1390)(830,1077,1392)(832,1079,1395)(836,1085,1402)(837,1086,932)
     (839,1088,1406)(842,1091,1410)(846,1097,1417)(848,1100,1421)(849,1101,
     1423)(852,1105,1370)(856,1110,1433)(857,1111,1435)(861,1117,1442)(862,
     1118,1444)(865,1122,1350)(866,1123,1450)(868,1125,1453)(871,1129,1458)
     (875,895,1160)(876,1135,1464)(880,1140,1470)(882,1143,1474)(883,1144,
     1476)(885,1146,1064)(889,1152,1485)(891,1155,1489)(892,1156,1491)(896,
     1161,1497)(898,1163,1500)(902,1169,1507)(903,1170,1509)(905,1172,1512)
     (908,1176,1517)(911,1180,1522)(912,1181,1524)(916,1187,1531)(918,1190,
     1535)(919,1191,1537)(921,1192,1398)(925,1197,1544)(927,1200,1548)(928,
     1201,1550)(931,1204,1553)(934,1206,1556)(937,1210,1561)(941,1216,1568)
     (943,1219,1572)(944,1220,1573)(946,1222,1576)(949,1227,1582)(950,1228,
     1584)(952,1230,1587)(955,1234,1592)(960,1242,1601)(961,1243,1603)(963,
     1245,1606)(965,1247,1609)(969,1253,1616)(970,1254,1618)(974,1260,1625)
     (975,1261,1627)(976,1262,1629)(978,1265,1633)(979,1266,1635)(982,1270,
     1640)(983,1271,1642)(985,1273,1645)(989,1279,1652)(990,1280,1654)(992,
     1282,1657)(995,1286,1662)(999,1292,1669)(1001,1294,1672)(1005,1299,1678)
     (1006,1300,1680)(1010,1306,1687)(1011,1307,1689)(1013,1309,1692)(1016,
     1313,1697)(1020,1036,1340)(1021,1319,1704)(1025,1325,1711)(1027,1328,
     1715)(1028,1329,1717)(1032,1335,1723)(1033,1336,1725)(1037,1341,1731)
     (1039,1343,1734)(1042,1347,1739)(1046,1352,1744)(1047,1353,1746)(1050,
     1357,1443)(1051,1358,1752)(1053,1360,1755)(1057,1366,1762)(1058,1367,
     1764)(1060,1369,1767)(1066,1377,1774)(1067,1378,1776)(1069,1380,1778)
     (1073,1386,1785)(1074,1387,1787)(1078,1393,1794)(1080,1396,1798)(1081,
     1397,1800)(1083,1399,1802)(1087,1404,1808)(1089,1407,1812)(1092,1411,
     1817)(1093,1412,1819)(1095,1414,1822)(1098,1418,1826)(1102,1424,1833)
     (1103,1425,1835)(1106,1428,1838)(1108,1430,1841)(1112,1436,1848)(1113,
     1437,1850)(1115,1439,1853)(1119,1445,1859)(1120,1446,1861)(1124,1451,
     1867)(1126,1454,1871)(1127,1455,1873)(1130,1459,1878)(1131,1460,1880)
     (1133,1462,1882)(1136,1465,1886)(1138,1467,1889)(1141,1471,1894)(1145,
     1477,1900)(1147,1479,1903)(1148,1480,1905)(1150,1482,1908)(1153,1486,
     1912)(1157,1492,1919)(1158,1493,1920)(1162,1498,1926)(1164,1501,1930)
     (1165,1502,1932)(1167,1504,1935)(1171,1510,1942)(1173,1513,1946)(1174,
     1514,1948)(1177,1518,1953)(1178,1519,1955)(1182,1525,1962)(1183,1526,
     1964)(1185,1528,1967)(1188,1532,1972)(1193,1539,1980)(1194,1540,1982)
     (1198,1545,1988)(1202,1551,1790)(1203,1552,1994)(1205,1554,1997)(1207,
     1557,2001)(1208,1558,2003)(1211,1562,2008)(1212,1563,2010)(1214,1565,
     2013)(1217,1569,2017)(1221,1574,2022)(1223,1577,2026)(1225,1579,2029)
     (1229,1585,2036)(1231,1588,2039)(1232,1589,1461)(1235,1593,2045)(1236,
     1594,2047)(1238,1596,2049)(1240,1598,2052)(1244,1604,2059)(1246,1607,
     2063)(1248,1610,2067)(1249,1611,2069)(1251,1613,2072)(1255,1619,2079)
     (1256,1620,2081)(1258,1622,2084)(1263,1630,2092)(1267,1636,2098)(1268,
     1637,2100)(1272,1643,2106)(1274,1646,2110)(1275,1647,1566)(1277,1649,
     2114)(1281,1655,2121)(1283,1658,2125)(1284,1659,1484)(1287,1663,2131)
     (1288,1664,2133)(1290,1666,2136)(1295,1673,2144)(1297,1675,2147)(1301,
     1681,2153)(1302,1682,2155)(1304,1684,2158)(1308,1690,2165)(1310,1693,
     2169)(1311,1694,1999)(1314,1698,2175)(1315,1699,2177)(1317,1701,2180)
     (1320,1705,2185)(1321,1706,2187)(1323,1708,2190)(1326,1712,2195)(1330,
     1718,2202)(1331,1719,2204)(1333,1720,2206)(1337,1726,2213)(1338,1727,
     2214)(1342,1732,2220)(1344,1735,2224)(1345,1736,2226)(1348,1740,2230)
     (1354,1747,2238)(1355,1748,2240)(1359,1753,2245)(1361,1756,2249)(1362,
     1757,2251)(1364,1759,2254)(1368,1765,2261)(1371,1564,2011)(1373,1769,
     2266)(1375,1771,2269)(1379,1777,1738)(1381,1779,2278)(1382,1780,2280)
     (1384,1782,2283)(1388,1788,2290)(1389,1789,2292)(1391,1791,2294)(1394,
     1795,2299)(1400,1803,2306)(1401,1804,2308)(1403,1806,2311)(1405,1809,
     2315)(1408,1813,2320)(1409,1814,2322)(1413,1820,2329)(1415,1823,2333)
     (1416,1580,2030)(1419,1827,2338)(1420,1828,2340)(1422,1830,2343)(1426,
     1639,2102)(1427,1836,2350)(1429,1839,2352)(1431,1842,2355)(1432,1843,
     2357)(1434,1845,2360)(1438,1851,2366)(1440,1854,2370)(1441,1855,2372)
     (1447,1862,2380)(1448,1863,2382)(1449,1864,2384)(1452,1868,2389)(1456,
     1874,2396)(1457,1875,2398)(1463,1883,2407)(1466,1887,2412)(1468,1890,
     2415)(1469,1891,2417)(1472,1895,2422)(1473,1896,2424)(1475,1897,2426)
     (1478,1901,2268)(1481,1906,2435)(1483,1909,2439)(1487,1913,2444)(1488,
     1914,2109)(1490,1916,2448)(1494,1921,2454)(1495,1922,2456)(1496,1923,
     2458)(1499,1927,2463)(1503,1933,1934)(1505,1936,1837)(1506,1937,2473)
     (1508,1939,2476)(1511,1943,1849)(1515,1949,2487)(1516,1950,2489)(1520,
     1956,2496)(1521,1957,2498)(1523,1959,2501)(1527,1965,2508)(1529,1968,
     2512)(1530,1969,2514)(1533,1973,2519)(1534,1974,2520)(1536,1976,2523)
     (1538,1978,2526)(1541,1983,2532)(1542,1984,2534)(1543,1985,2536)(1546,
     1989,2541)(1547,1709,2191)(1549,1991,2544)(1555,1998,2552)(1559,2004,
     2558)(1560,2005,2560)(1567,2014,2570)(1570,2018,2575)(1571,2019,2577)
     (1575,2023,2581)(1578,2027,2586)(1581,2031,2591)(1583,2033,2594)(1586,
     2037,2599)(1590,2041,2604)(1591,2042,2429)(1595,1884,2408)(1597,2050,
     2613)(1599,2053,2616)(1600,2054,2618)(1602,2056,2621)(1605,2060,2625)
     (1608,2064,2629)(1612,2070,2636)(1614,2073,2640)(1615,2074,2642)(1617,
     2076,2644)(1621,2082,2649)(1623,2085,2653)(1624,2086,2655)(1626,2088,
     2658)(1628,2090,2661)(1632,2093,2665)(1634,2095,2668)(1638,2101,2675)
     (1641,2104,2679)(1644,2107,2683)(1648,2112,2687)(1650,2115,2691)(1651,
     2116,2693)(1653,2118,2696)(1656,2122,2701)(1660,2127,2707)(1661,2128,
     2709)(1665,2134,1840)(1667,2137,2719)(1668,2138,2721)(1670,2140,2724)
     (1671,2141,2726)(1674,2145,2730)(1676,2148,2734)(1677,2149,2736)(1679,
     2150,2738)(1683,2156,2745)(1685,2159,2749)(1686,2160,2751)(1688,2162,
     2754)(1691,2166,2759)(1695,2171,2765)(1696,2172,2767)(1700,2178,2774)
     (1702,2181,2778)(1703,2182,2780)(1707,2188,2787)(1710,2192,2791)(1713,
     2196,2796)(1714,2197,2798)(1716,2199,2801)(1721,2207,2810)(1722,2208,
     1797)(1724,2210,2814)(1728,2215,2820)(1729,2216,2822)(1730,2217,2824)
     (1733,2221,2829)(1737,2227,2836)(1741,2231,2841)(1742,2232,2843)(1743,
     2233,2845)(1745,2235,2848)(1749,2241,2855)(1750,2242,2857)(1751,2243,
     2859)(1754,2246,2863)(1758,2252,2870)(1760,2255,2874)(1761,2256,2876)
     (1763,2258,2879)(1766,2262,2883)(1768,2264,2886)(1770,2267,2890)(1772,
     2270,2893)(1773,2271,2895)(1775,2273,2898)(1781,2281,2907)(1783,2284,
     2911)(1784,2285,2913)(1786,2287,2916)(1792,2295,2924)(1793,2296,2926)
     (1796,2300,2930)(1799,2302,2933)(1801,2303,2935)(1805,2309,2942)(1807,
     2312,2946)(1810,2316,2951)(1811,2317,2953)(1815,2323,2960)(1816,2324,
     2962)(1818,2326,2965)(1821,2330,2969)(1824,2334,2974)(1825,2335,2976)
     (1829,2341,2983)(1831,2344,2986)(1832,2345,2988)(1834,2347,2991)(1844,
     2358,3002)(1846,2361,3006)(1847,2362,3008)(1852,2367,3014)(1856,2373,
     3021)(1857,2374,3023)(1858,2375,3025)(1860,2377,3028)(1865,2385,3037)
     (1866,2386,3039)(1869,2390,3044)(1870,2391,3046)(1872,2393,3049)(1876,
     2399,3055)(1877,2400,3057)(1879,2402,3060)(1881,2404,3063)(1885,2409,
     3069)(1888,2413,3074)(1892,2418,3080)(1893,2419,3082)(1898,2427,3091)
     (1899,2428,3092)(1902,2431,3094)(1904,2433,3097)(1907,2436,3101)(1910,
     2440,3105)(1911,2441,3107)(1915,2446,2790)(1917,2449,3116)(1918,2450,
     3118)(1924,2459,3128)(1925,2460,3130)(1928,2464,3135)(1929,2465,3137)
     (1931,2467,3140)(1938,2474,3148)(1940,2477,3152)(1941,2478,2982)(1944,
     2481,3157)(1945,2482,3159)(1947,2484,2817)(1951,2490,3167)(1952,2491,
     3169)(1954,2493,3172)(1958,2499,3179)(1960,2502,3183)(1961,2503,3185)
     (1963,2505,3146)(1966,2509,3191)(1970,2515,3197)(1971,2516,3199)(1975,
     2521,3205)(1977,2524,3209)(1979,2527,3213)(1981,2529,3216)(1986,2537,
     3224)(1987,2538,3226)(1990,2542,3231)(1992,2545,3235)(1993,2546,3237)
     (1995,2548,3240)(1996,2549,2985)(2000,2553,3246)(2002,2555,3249)(2006,
     2561,2827)(2007,2562,3257)(2009,2564,3260)(2012,2567,3264)(2015,2571,
     3269)(2016,2572,3271)(2020,2578,3278)(2021,2579,3280)(2024,2582,3284)
     (2025,2583,3286)(2028,2587,3290)(2032,2592,3296)(2034,2595,3300)(2035,
     2596,3302)(2038,2600,3307)(2040,2602,3310)(2043,2606,3315)(2044,2607,
     3317)(2046,2609,3320)(2048,2610,3322)(2051,2614,3327)(2055,2619,3333)
     (2057,2622,3337)(2058,2071,2637)(2061,2626,3342)(2062,2627,3344)(2065,
     2630,3348)(2066,2631,3350)(2068,2633,3190)(2077,2163,2755)(2078,2645,
     3364)(2080,2647,3366)(2083,2650,2720)(2087,2656,3376)(2089,2659,3379)
     (2091,2662,3383)(2094,2666,3388)(2096,2669,3392)(2097,2670,3394)(2099,
     2672,3396)(2103,2677,3402)(2105,2680,3406)(2108,2684,3411)(2111,2686,
     3414)(2113,2688,3417)(2117,2694,3424)(2119,2697,3428)(2120,2698,3430)
     (2123,2702,3435)(2124,2703,3437)(2126,2705,3440)(2129,2710,3446)(2130,
     2711,3448)(2132,2713,3451)(2135,2716,3454)(2139,2722,3415)(2142,2727,
     3267)(2143,2728,3466)(2146,2731,3470)(2151,2739,3479)(2152,2740,3481)
     (2154,2742,3484)(2157,2746,3489)(2161,2752,3496)(2164,2756,3501)(2167,
     2760,3505)(2168,2761,3507)(2170,2763,3510)(2173,2768,3515)(2174,2769,
     3517)(2176,2771,3520)(2179,2775,3525)(2183,2781,3532)(2184,2782,3534)
     (2186,2784,3537)(2189,2788,3542)(2193,2792,3546)(2194,2793,3548)(2198,
     2799,3554)(2200,2802,3558)(2201,2803,3560)(2203,2805,3563)(2205,2807,
     3566)(2209,2812,3572)(2211,2815,3575)(2212,2816,3577)(2218,2825,2533)
     (2219,2826,3587)(2222,2830,3591)(2223,2831,3593)(2225,2833,3596)(2228,
     2837,3601)(2229,2838,3603)(2234,2846,3500)(2236,2849,3614)(2237,2850,
     3616)(2239,2852,3619)(2244,2860,3627)(2247,2864,3632)(2248,2865,3634)
     (2250,2867,3637)(2253,2871,3642)(2257,2877,3648)(2259,2880,3652)(2260,
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