b21 := (1,3,6)(2,4,8)(5,9,7)(10,13,17)(11,14,19)(12,15,21)(16,22,29)(18,24,32)
     (20,26,35)(23,30,40)(25,33,44)(27,36,48)(28,37,50)(31,41,55)(34,45,60)
     (38,51,67)(39,52,69)(42,56,74)(43,57,76)(46,61,81)(47,62,83)(49,64,86)
     (53,70,93)(54,71,95)(58,77,102)(59,78,104)(63,84,111)(65,87,115)(66,88,
     116)(68,90,119)(72,96,126)(73,97,128)(75,99,131)(79,105,138)(80,106,140)
     (82,108,143)(85,112,148)(89,117,154)(91,120,158)(92,121,160)(94,123,163)
     (98,129,170)(100,132,174)(101,133,176)(103,135,179)(107,141,186)(109,144,
     190)(110,145,192)(113,149,197)(114,150,199)(118,155,205)(122,161,211)
     (124,164,215)(125,165,217)(127,167,220)(130,171,225)(134,177,232)(136,
     180,236)(137,181,238)(139,183,241)(142,187,246)(146,193,253)(147,194,255)
     (151,200,262)(152,201,264)(153,202,266)(156,206,271)(157,207,273)(159,
     208,275)(162,212,280)(166,218,287)(168,221,291)(169,222,293)(172,226,298)
     (173,227,300)(175,229,303)(178,233,308)(182,239,315)(184,242,318)(185,
     243,320)(188,247,325)(189,248,327)(191,250,330)(195,256,337)(196,257,339)
     (198,259,342)(203,267,351)(204,268,353)(209,276,362)(210,277,364)(213,
     281,369)(214,282,371)(216,284,374)(219,288,379)(223,294,386)(224,295,388)
     (228,301,394)(230,304,398)(231,305,400)(234,309,404)(235,310,406)(237,
     312,409)(240,316,414)(244,321,420)(245,322,422)(249,328,429)(251,331,433)
     (252,332,435)(254,334,438)(258,340,445)(260,343,449)(261,344,450)(263,
     346,453)(265,348,456)(269,354,463)(270,355,465)(272,357,468)(274,359,471)
     (278,365,478)(279,366,480)(283,372,487)(285,375,491)(286,376,493)(289,
     380,498)(290,381,500)(292,383,503)(296,389,510)(297,390,512)(299,392,515)
     (302,395,519)(306,401,525)(307,402,527)(311,407,533)(313,410,537)(314,
     411,539)(317,415,544)(319,417,547)(323,423,554)(324,424,556)(326,426,559)
     (329,430,564)(333,436,571)(335,439,574)(336,440,576)(338,442,579)(341,
     446,584)(345,451,590)(347,454,594)(349,457,598)(350,458,600)(352,460,603)
     (356,466,610)(358,469,614)(360,472,618)(361,473,620)(363,475,623)(367,
     481,629)(368,482,631)(370,484,634)(373,488,639)(377,494,646)(378,495,648)
     (382,501,655)(384,504,659)(385,505,661)(387,507,664)(391,513,671)(393,
     516,674)(396,520,679)(397,521,681)(399,523,684)(403,528,690)(405,530,693)
     (408,534,698)(412,540,705)(413,541,707)(416,545,711)(418,548,715)(419,
     549,717)(421,551,720)(425,557,727)(427,560,731)(428,561,733)(431,565,738)
     (432,566,740)(434,568,743)(437,572,747)(441,577,753)(443,580,757)(444,
     581,759)(447,585,764)(448,586,766)(452,591,772)(455,595,777)(459,601,784)
     (461,604,788)(462,605,790)(464,607,793)(467,611,798)(470,615,803)(474,
     621,810)(476,624,814)(477,625,816)(479,626,818)(483,632,825)(485,635,829)
     (486,636,831)(489,640,835)(490,641,837)(492,643,840)(496,649,847)(497,
     650,849)(499,652,852)(502,656,857)(506,662,864)(508,665,868)(509,666,870)
     (511,668,873)(514,672,878)(517,675,882)(518,676,884)(522,682,891)(524,
     685,895)(526,687,898)(529,691,903)(531,694,907)(532,695,909)(535,699,914)
     (536,700,916)(538,702,919)(542,708,926)(543,709,928)(546,712,932)(550,
     718,939)(552,721,943)(553,722,945)(555,724,948)(558,728,953)(562,734,960)
     (563,735,962)(567,741,969)(569,744,973)(570,745,975)(573,748,979)(575,
     750,982)(578,754,987)(582,760,994)(583,761,996)(587,767,1003)(588,768,
     1005)(589,769,1007)(592,773,1012)(593,774,1014)(596,778,1019)(597,779,
     1021)(599,781,1024)(602,785,1029)(606,791,1036)(608,794,1039)(609,795,
     1041)(612,799,1046)(613,800,1048)(616,804,1053)(617,805,1055)(619,807,
     1057)(622,811,1062)(627,819,1071)(628,820,1073)(630,822,1076)(633,826,
     1081)(637,832,1088)(638,833,1090)(642,838,1096)(644,841,1100)(645,842,
     1102)(647,844,1105)(651,850,1112)(653,853,1116)(654,854,1118)(657,858,
     1123)(658,859,1125)(660,861,1128)(663,865,1133)(667,871,1140)(669,874,
     1144)(670,875,1146)(673,879,1151)(677,885,1158)(678,886,1160)(680,888,
     1163)(683,892,1167)(686,896,897)(688,899,1174)(689,900,1176)(692,904,
     1181)(696,910,1188)(697,911,1190)(701,917,1197)(703,920,1201)(704,921,
     1203)(706,923,1206)(710,929,1213)(713,933,1218)(714,934,1220)(716,936,
     1222)(719,940,1227)(723,946,1234)(725,949,1238)(726,950,1240)(729,954,
     1245)(730,955,1247)(732,957,1250)(736,963,1257)(737,964,1259)(739,966,
     1262)(742,970,1267)(746,976,1274)(749,980,1279)(751,983,1283)(752,984,
     1285)(755,988,1289)(756,989,1291)(758,991,1294)(762,997,1301)(763,998,
     1303)(765,1000,1305)(770,1008,1314)(771,1009,1316)(775,1015,1323)(776,
     1016,1325)(780,1022,1331)(782,1025,1335)(783,1026,1337)(786,1030,1342)
     (787,1031,1344)(789,1033,1347)(792,1037,1352)(796,1042,1358)(797,1043,
     1360)(801,1049,1367)(802,1050,1369)(806,977,1275)(808,1058,1378)(809,
     1059,1380)(812,1063,1385)(813,1064,1387)(815,1066,1390)(817,1068,1392)
     (821,1074,1399)(823,1077,1403)(824,1078,1405)(827,1082,1410)(828,1083,
     1412)(830,1085,1415)(834,1091,1422)(836,1093,1425)(839,1097,1430)(843,
     1103,1437)(845,1106,1441)(846,1107,1443)(848,1109,1446)(851,1113,1451)
     (855,1119,1458)(856,1120,1460)(860,1126,1467)(862,1129,1471)(863,1130,
     1473)(866,1134,1478)(867,1135,1480)(869,1137,1483)(872,1141,1488)(876,
     1147,1495)(877,1148,1497)(880,1152,1502)(881,1153,1504)(883,1155,1507)
     (887,1161,1514)(889,1164,1518)(890,1165,1520)(893,1168,1524)(894,1169,
     1526)(901,1177,1535)(902,1178,1537)(905,1182,1542)(906,1183,1544)(908,
     1185,1547)(912,1191,1554)(913,1192,1556)(915,1194,1559)(918,1198,1564)
     (922,1204,1571)(924,1207,1575)(925,1208,1577)(927,1210,1580)(930,1214,
     1585)(931,1215,1587)(935,1142,1489)(937,1223,1596)(938,1224,1598)(941,
     1228,1603)(942,1229,1605)(944,1231,1608)(947,1235,1613)(951,1241,1620)
     (952,1242,1622)(956,1248,1629)(958,1251,1633)(959,1252,1635)(961,1254,
     1638)(965,1260,1645)(967,1263,1649)(968,1264,1651)(971,1268,1656)(972,
     1269,1658)(974,1271,1661)(978,1276,1665)(981,1280,1670)(985,1286,1677)
     (986,1287,1679)(990,1292,1685)(992,1295,1689)(993,1296,1691)(995,1298,
     1693)(999,1304,1700)(1001,1306,1703)(1002,1307,1705)(1004,1309,1708)
     (1006,1311,1711)(1010,1317,1718)(1011,1318,1627)(1013,1320,1722)(1017,
     1326,1729)(1018,1327,1731)(1020,1329,1734)(1023,1332,1738)(1027,1338,
     1745)(1028,1339,1747)(1032,1345,1754)(1034,1348,1757)(1035,1349,1759)
     (1038,1353,1764)(1040,1355,1767)(1044,1361,1774)(1045,1362,1776)(1047,
     1364,1779)(1051,1370,1785)(1052,1371,1787)(1054,1373,1790)(1056,1375,
     1793)(1060,1381,1800)(1061,1382,1802)(1065,1388,1809)(1067,1391,1813)
     (1069,1393,1816)(1070,1394,1818)(1072,1396,1821)(1075,1400,1826)(1079,
     1406,1833)(1080,1407,1835)(1084,1413,1842)(1086,1416,1846)(1087,1417,
     1848)(1089,1419,1851)(1092,1423,1856)(1094,1426,1860)(1095,1427,1862)
     (1098,1431,1867)(1099,1432,1869)(1101,1434,1872)(1104,1438,1877)(1108,
     1444,1884)(1110,1447,1888)(1111,1448,1890)(1114,1452,1895)(1115,1453,
     1365)(1117,1455,1899)(1121,1461,1906)(1122,1462,1908)(1124,1464,1911)
     (1127,1468,1916)(1131,1474,1923)(1132,1475,1925)(1136,1481,1932)(1138,
     1484,1936)(1139,1485,1938)(1143,1490,1944)(1145,1492,1947)(1149,1498,
     1954)(1150,1499,1956)(1154,1505,1963)(1156,1508,1967)(1157,1509,1969)
     (1159,1511,1972)(1162,1515,1977)(1166,1521,1984)(1170,1527,1991)(1171,
     1528,1993)(1172,1529,1995)(1173,1530,1997)(1175,1532,2000)(1179,1538,
     2007)(1180,1539,2009)(1184,1545,2016)(1186,1548,2020)(1187,1549,2022)
     (1189,1551,2025)(1193,1557,2032)(1195,1560,2036)(1196,1561,2038)(1199,
     1565,2043)(1200,1566,2045)(1202,1568,2048)(1205,1572,2053)(1209,1578,
     2060)(1211,1581,2064)(1212,1582,2066)(1216,1588,2073)(1217,1589,2075)
     (1219,1591,2078)(1221,1593,2081)(1225,1599,2088)(1226,1600,2090)(1230,
     1606,2097)(1232,1609,2101)(1233,1610,2103)(1236,1614,2108)(1237,1615,
     2110)(1239,1617,2113)(1243,1623,2120)(1244,1624,2122)(1246,1626,2125)
     (1249,1630,2129)(1253,1636,2136)(1255,1639,2140)(1256,1640,2142)(1258,
     1642,2145)(1261,1646,2150)(1265,1652,2156)(1266,1653,2158)(1270,1659,
     2165)(1272,1662,2169)(1273,1663,2171)(1277,1666,2175)(1278,1667,2177)
     (1281,1671,2182)(1282,1672,2184)(1284,1674,2187)(1288,1680,2194)(1290,
     1682,2197)(1293,1686,2202)(1297,1692,2209)(1299,1694,2212)(1300,1695,
     2214)(1302,1697,2217)(1308,1706,2227)(1310,1709,2231)(1312,1712,2234)
     (1313,1713,2236)(1315,1715,2239)(1319,1720,2245)(1321,1723,2249)(1322,
     1724,2251)(1324,1726,2254)(1328,1732,2261)(1330,1735,2265)(1333,1739,
     2270)(1334,1740,2272)(1336,1742,2275)(1340,1748,2282)(1341,1749,2284)
     (1343,1751,2287)(1346,1755,2292)(1350,1760,2298)(1351,1761,2300)(1354,
     1765,2305)(1356,1768,2309)(1357,1769,2311)(1359,1771,2314)(1363,1777,
     2321)(1366,1780,2325)(1368,1782,2328)(1372,1788,2334)(1374,1791,2337)
     (1376,1794,2341)(1377,1795,2343)(1379,1797,2346)(1383,1803,2353)(1384,
     1804,2355)(1386,1806,2358)(1389,1810,2363)(1395,1819,2373)(1397,1822,
     2377)(1398,1823,2379)(1401,1827,2384)(1402,1828,2386)(1404,1830,2389)
     (1408,1836,2396)(1409,1837,2398)(1411,1839,2401)(1414,1843,2406)(1418,
     1849,2413)(1420,1852,2417)(1421,1853,2419)(1424,1857,2424)(1428,1863,
     2431)(1429,1864,2433)(1433,1870,2440)(1435,1873,2444)(1436,1874,2446)
     (1439,1878,2451)(1440,1879,2453)(1442,1881,2456)(1445,1885,2461)(1449,
     1891,2468)(1450,1892,2470)(1454,1897,2476)(1456,1900,2479)(1457,1901,
     2481)(1459,1903,2484)(1463,1909,2491)(1465,1912,2495)(1466,1913,2497)
     (1469,1917,2502)(1470,1918,2504)(1472,1920,2507)(1476,1926,2514)(1477,
     1927,2516)(1479,1929,2519)(1482,1933,2524)(1486,1939,2529)(1487,1940,
     2530)(1491,1945,2536)(1493,1948,2539)(1494,1949,2541)(1496,1951,2544)
     (1500,1957,2551)(1501,1958,2553)(1503,1960,2556)(1506,1964,2561)(1510,
     1970,2568)(1512,1973,2571)(1513,1974,2573)(1516,1978,2578)(1517,1979,
     2580)(1519,1981,2583)(1522,1985,2588)(1523,1986,2590)(1525,1988,2593)
     (1531,1998,2604)(1533,2001,2608)(1534,2002,2610)(1536,2004,2613)(1540,
     2010,2620)(1541,2011,2622)(1543,2013,2625)(1546,2017,2630)(1550,2023,
     2361)(1552,2026,2640)(1553,2027,2642)(1555,2029,2645)(1558,2033,2650)
     (1562,2039,2656)(1563,2040,2658)(1567,2046,2664)(1569,2049,2668)(1570,
     2050,2670)(1573,2054,2675)(1574,2055,2677)(1576,2057,2680)(1579,2061,
     2685)(1583,2067,2692)(1584,2068,2694)(1586,2070,2697)(1590,2076,1946)
     (1592,2079,2707)(1594,2082,2711)(1595,2083,2712)(1597,2085,2715)(1601,
     2091,2722)(1602,2092,2724)(1604,2094,2727)(1607,2098,2732)(1611,2104,
     2739)(1612,2105,2741)(1616,2111,2748)(1618,2114,2752)(1619,2115,2754)
     (1621,2117,2757)(1625,2123,2763)(1628,2126,2767)(1631,2130,2772)(1632,
     2131,2372)(1634,2133,2776)(1637,2137,2781)(1641,2143,2788)(1643,2146,
     2792)(1644,2147,2794)(1647,2151,2799)(1648,2152,2801)(1650,2154,2804)
     (1654,2159,2810)(1655,2160,2812)(1657,2162,2815)(1660,2166,2820)(1664,
     2172,2827)(1668,2178,2833)(1669,2179,2835)(1673,2185,2842)(1675,2188,
     2846)(1676,2189,2848)(1678,2191,2851)(1681,2195,2856)(1683,2198,2859)
     (1684,2199,2861)(1687,2203,2866)(1688,2204,2868)(1690,2206,2871)(1696,
     2215,2881)(1698,2218,2885)(1699,2219,2887)(1701,2221,2890)(1702,2222,
     2892)(1704,2224,2895)(1707,2228,2900)(1710,2232,2905)(1714,2237,2911)
     (1716,2240,2915)(1717,2241,2917)(1719,2243,2920)(1721,2246,2924)(1725,
     2252,2931)(1727,2255,2935)(1728,2256,2937)(1730,2258,2940)(1733,2262,
     2945)(1736,2266,2950)(1737,2267,2952)(1741,2273,2957)(1743,2276,2961)
     (1744,2277,2963)(1746,2279,2966)(1750,2285,2973)(1752,2288,2977)(1753,
     2289,2979)(1756,2293,2983)(1758,2295,2986)(1762,2301,2993)(1763,2302,
     2995)(1766,2306,3000)(1770,2312,3007)(1772,2315,3011)(1773,2316,3013)
     (1775,2318,3016)(1778,2322,2971)(1781,2326,3025)(1783,2329,3029)(1784,
     2330,3031)(1786,2332,3034)(1789,2335,3038)(1792,2338,3042)(1796,2344,
     3049)(1798,2347,3053)(1799,2348,3055)(1801,2350,3058)(1805,2356,3065)
     (1807,2359,3069)(1808,2360,3071)(1811,2364,3075)(1812,2365,3077)(1814,
     2367,3079)(1815,2368,3081)(1817,2370,3084)(1820,2374,3088)(1824,2380,
     3095)(1825,2381,3097)(1829,2387,3104)(1831,2390,3108)(1832,2391,3110)
     (1834,2393,3113)(1838,2399,3120)(1840,2402,3124)(1841,2403,3126)(1844,
     2407,3130)(1845,2408,3132)(1847,2410,3135)(1850,2414,3140)(1854,2420,
     3147)(1855,2421,3149)(1858,2425,3153)(1859,2426,3155)(1861,2428,3158)
     (1865,2434,3165)(1866,2435,3167)(1868,2437,3170)(1871,2441,3175)(1875,
     2447,3182)(1876,2448,3184)(1880,2454,3191)(1882,2457,3195)(1883,2458,
     3197)(1886,2462,3201)(1887,2463,3202)(1889,2465,3205)(1893,2471,3212)
     (1894,2472,3214)(1896,2474,3217)(1898,2477,3221)(1902,2482,3227)(1904,
     2485,3231)(1905,2486,3233)(1907,2488,3236)(1910,2492,3241)(1914,2498,
     3248)(1915,2499,3250)(1919,2505,3257)(1921,2508,3261)(1922,2509,3263)
     (1924,2511,3266)(1928,2517,3272)(1930,2520,3276)(1931,2521,3278)(1934,
     2525,3283)(1935,2526,3285)(1937,2527,3287)(1941,2531,3292)(1942,2532,
     3294)(1943,2533,3296)(1950,2542,3306)(1952,2545,3310)(1953,2546,3312)
     (1955,2548,3314)(1959,2554,3321)(1961,2557,3325)(1962,2558,3327)(1965,
     2562,3332)(1966,2563,3334)(1968,2565,3337)(1971,2569,3342)(1975,2574,
     3348)(1976,2575,3350)(1980,2581,3357)(1982,2584,3361)(1983,2585,3363)
     (1987,2591,3370)(1989,2594,3373)(1990,2595,3375)(1992,2597,3378)(1994,
     2599,3381)(1996,2601,2854)(1999,2605,3388)(2003,2611,3395)(2005,2614,
     3399)(2006,2615,3401)(2008,2617,3404)(2012,2623,3410)(2014,2626,3414)
     (2015,2627,3416)(2018,2631,3421)(2019,2632,3423)(2021,2634,3426)(2024,
     2637,3430)(2028,2643,3437)(2030,2646,3441)(2031,2647,3443)(2034,2651,
     3448)(2035,2442,3176)(2037,2653,3451)(2041,2659,3458)(2042,2660,3460)
     (2044,2662,3463)(2047,2665,3467)(2051,2671,3474)(2052,2672,3476)(2056,
     2678,3483)(2058,2681,3487)(2059,2682,3489)(2062,2686,3494)(2063,2687,
     3496)(2065,2689,3498)(2069,2695,3505)(2071,2698,3509)(2072,2699,3511)
     (2074,2701,3514)(2077,2704,3518)(2080,2708,3523)(2084,2713,3528)(2086,
     2716,3532)(2087,2717,3533)(2089,2719,3536)(2093,2725,3543)(2095,2728,
     3547)(2096,2729,3549)(2099,2733,3553)(2100,2734,3555)(2102,2736,3558)
     (2106,2742,3565)(2107,2743,3567)(2109,2745,3570)(2112,2749,3575)(2116,
     2755,3582)(2118,2758,3586)(2119,2759,3588)(2121,2761,3591)(2124,2764,
     3595)(2127,2768,3600)(2128,2769,3602)(2132,2774,3608)(2134,2777,3612)
     (2135,2778,3614)(2138,2782,3619)(2139,2783,3621)(2141,2785,3624)(2144,
     2789,3628)(2148,2795,3635)(2149,2796,3637)(2153,2802,3642)(2155,2805,
     3645)(2157,2807,3648)(2161,2813,3655)(2163,2816,3659)(2164,2817,3661)
     (2167,2821,3666)(2168,2822,3668)(2170,2824,3671)(2173,2828,3676)(2174,
     2829,3678)(2176,2830,3680)(2180,2836,3687)(2181,2837,3688)(2183,2839,
     3690)(2186,2843,3695)(2190,2849,3702)(2192,2852,3706)(2193,2853,3708)
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