b21 := (1,3,6)(2,4,8)(5,9,14)(7,11,17)(10,15,22)(12,18,26)(13,19,28)(16,23,33)
     (20,29,40)(21,30,42)(24,34,47)(25,35,49)(27,37,52)(31,43,59)(32,44,61)
     (36,50,68)(38,53,72)(39,54,74)(41,56,77)(45,62,84)(46,63,86)(48,65,89)
     (51,69,94)(55,75,101)(57,78,105)(58,79,107)(60,81,110)(64,87,117)(66,90,
     121)(67,91,123)(70,95,128)(71,96,130)(73,98,133)(76,102,138)(80,108,145)
     (82,111,149)(83,112,151)(85,114,154)(88,118,159)(92,124,166)(93,125,168)
     (97,131,175)(99,134,179)(100,135,181)(103,139,186)(104,140,188)(106,142,
     191)(109,146,196)(113,152,203)(115,155,207)(116,156,209)(119,160,214)
     (120,161,216)(122,163,219)(126,169,226)(127,170,228)(129,172,231)(132,
     176,236)(136,182,243)(137,183,245)(141,189,252)(143,192,256)(144,193,258)
     (147,197,263)(148,198,265)(150,200,268)(153,204,273)(157,210,280)(158,
     211,282)(162,217,289)(164,220,293)(165,221,295)(167,223,298)(171,229,305)
     (173,232,309)(174,233,311)(177,237,316)(178,238,318)(180,240,321)(184,
     246,328)(185,247,330)(187,249,333)(190,253,338)(194,259,345)(195,260,347)
     (199,266,354)(201,269,358)(202,270,360)(205,274,365)(206,275,367)(208,
     277,370)(212,283,377)(213,284,379)(215,286,382)(218,290,387)(222,296,394)
     (224,299,398)(225,300,400)(227,302,403)(230,306,408)(234,312,415)(235,
     313,417)(239,319,424)(241,322,428)(242,323,430)(244,325,433)(248,331,440)
     (250,334,444)(251,335,446)(254,339,451)(255,340,453)(257,342,456)(261,
     348,463)(262,349,465)(264,351,468)(267,355,473)(271,361,480)(272,362,482)
     (276,368,489)(278,371,493)(279,372,495)(281,374,498)(285,380,505)(287,
     383,509)(288,384,511)(291,388,516)(292,389,518)(294,391,521)(297,395,526)
     (301,401,533)(303,404,537)(304,405,539)(307,409,544)(308,410,546)(310,
     412,549)(314,418,556)(315,419,558)(317,421,561)(320,425,566)(324,431,573)
     (326,434,577)(327,435,579)(329,437,582)(332,441,587)(336,447,593)(337,
     448,595)(341,454,602)(343,457,606)(344,458,608)(346,460,611)(350,466,618)
     (352,469,622)(353,470,624)(356,474,629)(357,475,631)(359,477,634)(363,
     483,641)(364,484,643)(366,486,646)(369,490,651)(373,496,658)(375,499,662)
     (376,500,664)(378,502,667)(381,506,672)(385,512,679)(386,513,681)(390,
     519,445)(392,522,691)(393,523,693)(396,527,698)(397,528,700)(399,530,703)
     (402,534,708)(406,540,715)(407,541,717)(411,547,724)(413,550,728)(414,
     551,730)(416,553,733)(420,559,740)(422,562,744)(423,563,746)(426,567,751)
     (427,568,753)(429,570,756)(432,574,760)(436,580,767)(438,583,771)(439,
     584,773)(442,588,778)(443,589,780)(449,596,788)(450,597,790)(452,599,793)
     (455,603,798)(459,609,805)(461,612,809)(462,613,811)(464,615,814)(467,
     619,819)(471,625,826)(472,626,828)(476,632,835)(478,635,839)(479,636,841)
     (481,638,844)(485,644,851)(487,647,855)(488,648,857)(491,652,862)(492,
     653,864)(494,655,867)(497,659,871)(501,665,878)(503,668,882)(504,669,884)
     (507,673,889)(508,674,891)(510,676,894)(514,682,901)(515,683,903)(517,
     685,906)(520,688,910)(524,694,917)(525,695,919)(529,701,926)(531,704,930)
     (532,705,932)(535,709,937)(536,710,939)(538,712,942)(542,718,949)(543,
     719,951)(545,721,954)(548,725,959)(552,731,966)(554,734,970)(555,735,972)
     (557,737,974)(560,741,979)(564,747,986)(565,748,988)(569,754,995)(571,
     757,999)(572,758,1001)(575,761,1005)(576,762,1007)(578,764,1010)(581,768,
     1015)(585,774,1022)(586,775,1024)(590,781,1031)(591,782,1033)(592,783,
     1035)(594,785,1038)(598,791,1045)(600,794,1049)(601,795,1051)(604,799,
     1056)(605,800,1058)(607,802,1061)(610,806,1066)(614,812,1073)(616,815,
     1077)(617,816,1079)(620,820,1084)(621,821,1086)(623,823,1089)(627,829,
     1096)(628,830,1098)(630,832,1101)(633,836,1106)(637,842,1113)(639,845,
     1116)(640,846,1118)(642,848,1121)(645,852,1126)(649,858,1132)(650,859,
     1134)(654,865,1141)(656,868,1145)(657,869,1147)(660,872,1151)(661,873,
     1153)(663,875,1156)(666,879,1161)(670,885,1168)(671,886,1170)(675,892,
     1177)(677,895,1181)(678,896,1183)(680,898,1186)(684,904,1191)(686,907,
     1195)(687,908,1197)(689,911,1201)(690,912,1203)(692,914,1206)(696,920,
     1213)(697,921,1215)(699,923,1218)(702,927,1223)(706,933,1230)(707,934,
     1232)(711,940,1239)(713,943,1243)(714,944,1245)(716,946,1248)(720,952,
     1255)(722,955,1259)(723,956,1261)(726,960,1266)(727,961,1268)(729,963,
     1271)(732,967,1276)(736,973,1283)(738,975,1286)(739,976,1288)(742,980,
     1293)(743,981,1295)(745,983,1298)(749,989,1305)(750,990,1307)(752,992,
     1310)(755,996,1315)(759,1002,1322)(763,1008,1329)(765,1011,1333)(766,
     1012,1335)(769,1016,1340)(770,1017,1342)(772,1019,1345)(776,1025,1352)
     (777,1026,1354)(779,1028,1357)(784,1036,1365)(786,1039,1369)(787,1040,
     1371)(789,1042,1374)(792,1046,1379)(796,1052,1386)(797,1053,1388)(801,
     1059,1395)(803,1062,1398)(804,1063,1400)(807,1067,1405)(808,1068,1407)
     (810,1070,1410)(813,1074,1415)(817,1080,1422)(818,1081,1424)(822,1087,
     1430)(824,1090,1433)(825,1091,1435)(827,1093,1438)(831,1099,1445)(833,
     1102,1449)(834,1103,1451)(837,1107,1456)(838,1108,1458)(840,1110,1461)
     (843,1114,1466)(847,1119,1472)(849,1122,1476)(850,1123,1478)(853,1127,
     1483)(854,1128,1485)(856,958,1263)(860,1135,1493)(861,1136,1495)(863,
     1138,1498)(866,1142,1503)(870,1148,1510)(874,1154,1517)(876,1157,1521)
     (877,1158,1523)(880,1162,1528)(881,1163,1530)(883,1165,1533)(887,1171,
     1540)(888,1172,1542)(890,1174,1545)(893,1178,1550)(897,1184,1029)(899,
     1187,1560)(900,1188,1562)(902,1176,1547)(905,1192,1567)(909,1198,1574)
     (913,1204,1581)(915,1207,1585)(916,1208,1587)(918,1210,1590)(922,1216,
     1597)(924,1219,1601)(925,1220,1603)(928,1224,1608)(929,1225,1610)(931,
     1227,1613)(935,1233,1620)(936,1234,1622)(938,1236,1625)(941,1240,1630)
     (945,1246,1637)(947,1249,1641)(948,1250,1643)(950,1252,1646)(953,1256,
     1651)(957,1262,1658)(962,1269,1665)(964,1272,1669)(965,1273,1671)(968,
     1277,1676)(969,1278,1678)(971,1280,1681)(977,1289,1691)(978,1290,1693)
     (982,1296,1700)(984,1299,1704)(985,1300,1706)(987,1302,1709)(991,1308,
     1716)(993,1311,1720)(994,1312,1722)(997,1316,1727)(998,1317,1729)(1000,
     1319,1732)(1003,1323,1737)(1004,1324,1739)(1006,1326,1742)(1009,1330,
     1747)(1013,1336,1754)(1014,1337,1756)(1018,1343,1763)(1020,1346,1767)
     (1021,1347,1769)(1023,1349,1772)(1027,1355,1779)(1030,1358,1783)(1032,
     1360,1786)(1034,1362,1789)(1037,1366,1794)(1041,1372,1800)(1043,1375,
     1804)(1044,1376,1806)(1047,1380,1811)(1048,1381,1813)(1050,1383,1816)
     (1054,1389,1823)(1055,1390,1825)(1057,1392,1828)(1060,1396,1833)(1064,
     1401,1839)(1065,1402,1841)(1069,1408,1848)(1071,1411,1851)(1072,1412,
     1853)(1075,1416,1858)(1076,1417,1860)(1078,1419,1863)(1082,1425,1870)
     (1083,1426,1872)(1085,1428,1875)(1088,1431,1879)(1092,1436,1885)(1094,
     1439,1889)(1095,1440,1891)(1097,1442,1894)(1100,1446,1899)(1104,1452,
     1906)(1105,1453,1908)(1109,1459,1915)(1111,1462,1919)(1112,1463,1921)
     (1115,1467,1926)(1117,1469,1929)(1120,1473,1934)(1124,1479,1941)(1125,
     1480,1943)(1129,1486,1950)(1130,1487,1952)(1131,1488,1954)(1133,1490,
     1957)(1137,1496,1964)(1139,1499,1968)(1140,1500,1970)(1143,1504,1975)
     (1144,1505,1977)(1146,1507,1980)(1149,1511,1985)(1150,1512,1987)(1152,
     1514,1990)(1155,1518,1995)(1159,1524,2002)(1160,1525,2004)(1164,1531,
     2011)(1166,1534,2015)(1167,1535,2017)(1169,1537,2020)(1173,1543,2027)
     (1175,1546,2031)(1179,1551,2037)(1180,1552,2039)(1182,1554,2042)(1185,
     1557,2046)(1189,1563,2053)(1190,1564,2055)(1193,1568,2060)(1194,1569,
     2062)(1196,1571,2065)(1199,1575,2070)(1200,1576,2072)(1202,1578,2075)
     (1205,1582,2080)(1209,1588,2087)(1211,1591,2091)(1212,1592,2093)(1214,
     1594,2096)(1217,1598,2101)(1221,1604,2107)(1222,1605,2109)(1226,1611,
     2116)(1228,1614,2120)(1229,1615,2122)(1231,1617,2125)(1235,1623,2132)
     (1237,1626,2136)(1238,1627,2138)(1241,1631,2143)(1242,1632,2145)(1244,
     1634,2148)(1247,1638,2153)(1251,1644,2160)(1253,1647,2164)(1254,1648,
     2166)(1257,1652,2171)(1258,1653,2173)(1260,1655,2176)(1264,1660,2181)
     (1265,1661,2183)(1267,1662,2185)(1270,1666,2190)(1274,1672,2197)(1275,
     1673,2199)(1279,1679,2206)(1281,1682,2210)(1282,1683,2212)(1284,1685,
     2215)(1285,1686,2217)(1287,1688,2220)(1291,1694,2227)(1292,1695,2229)
     (1294,1697,2232)(1297,1701,2237)(1301,1707,2244)(1303,1710,2247)(1304,
     1711,2249)(1306,1713,2252)(1309,1717,2257)(1313,1723,2264)(1314,1724,
     2266)(1318,1730,2273)(1320,1733,2277)(1321,1734,2279)(1325,1740,2286)
     (1327,1743,2290)(1328,1744,2292)(1331,1748,2297)(1332,1749,2299)(1334,
     1751,2302)(1338,1757,2308)(1339,1758,2310)(1341,1760,2313)(1344,1764,
     2318)(1348,1770,2325)(1350,1773,2329)(1351,1774,2331)(1353,1776,2334)
     (1356,1780,2339)(1359,1784,2344)(1361,1787,2348)(1363,1790,2352)(1364,
     1791,2354)(1367,1795,2359)(1368,1796,2361)(1370,1798,2364)(1373,1801,
     2368)(1377,1807,2375)(1378,1808,2377)(1382,1814,2384)(1384,1817,2388)
     (1385,1818,2390)(1387,1820,2393)(1391,1826,2400)(1393,1829,2404)(1394,
     1830,2406)(1397,1834,2411)(1399,1836,2414)(1403,1842,2421)(1404,1843,
     2423)(1406,1845,2426)(1409,1849,2431)(1413,1854,2437)(1414,1855,2439)
     (1418,1861,2446)(1420,1864,2450)(1421,1865,2452)(1423,1867,2455)(1427,
     1873,2462)(1429,1876,2466)(1432,1880,2471)(1434,1882,2170)(1437,1886,
     2478)(1441,1892,2485)(1443,1895,2489)(1444,1896,2491)(1447,1900,2496)
     (1448,1901,2498)(1450,1903,2501)(1454,1909,2508)(1455,1910,2510)(1457,
     1912,2513)(1460,1916,2518)(1464,1922,2525)(1465,1923,2527)(1468,1927,
     2531)(1470,1930,2535)(1471,1931,2537)(1474,1935,2542)(1475,1936,2544)
     (1477,1938,2547)(1481,1944,2554)(1482,1945,2556)(1484,1947,2559)(1489,
     1955,2567)(1491,1958,2571)(1492,1959,2573)(1494,1961,2576)(1497,1965,
     2581)(1501,1971,2588)(1502,1972,2590)(1506,1978,2597)(1508,1981,2601)
     (1509,1982,2603)(1513,1988,2610)(1515,1991,2614)(1516,1992,2616)(1519,
     1996,2621)(1520,1997,2623)(1522,1999,2626)(1526,2005,2632)(1527,2006,
     2634)(1529,2008,2637)(1532,2012,2642)(1536,2018,2649)(1538,2021,2653)
     (1539,2022,2655)(1541,2024,2658)(1544,2028,2663)(1548,2033,2669)(1549,
     2034,2671)(1553,2040,2678)(1555,2043,2682)(1556,2044,2684)(1558,2047,
     2688)(1559,2048,2690)(1561,2050,2693)(1565,2056,2700)(1566,2057,2702)
     (1570,2063,2709)(1572,2066,2713)(1573,2067,2715)(1577,2073,2722)(1579,
     2076,2726)(1580,2077,2728)(1583,2081,2733)(1584,2082,2735)(1586,2084,
     2738)(1589,2088,2743)(1593,2094,2750)(1595,2097,2754)(1596,2098,2756)
     (1599,2102,2761)(1600,2103,2763)(1602,2105,2766)(1606,2110,2772)(1607,
     2111,2774)(1609,2113,2777)(1612,2117,2782)(1616,2123,2789)(1618,2126,
     2793)(1619,2127,2795)(1621,2129,2798)(1624,2133,2803)(1628,2139,2810)
     (1629,2140,2812)(1633,2146,2819)(1635,2149,2823)(1636,2150,2825)(1639,
     2154,2830)(1640,2155,2832)(1642,2157,2835)(1645,2161,2840)(1649,2167,
     2845)(1650,2168,2847)(1654,2174,2853)(1656,2177,2856)(1657,2178,2858)
     (1659,2064,2710)(1663,2186,2867)(1664,2187,2869)(1667,2191,2874)(1668,
     2192,2876)(1670,2194,2879)(1674,2200,2886)(1675,2201,2888)(1677,2203,
     2891)(1680,2207,2896)(1684,2213,2903)(1687,2218,2906)(1689,2221,2910)
     (1690,2222,2912)(1692,2224,2915)(1696,2230,2922)(1698,2233,2926)(1699,
     2234,2928)(1702,2238,2932)(1703,2239,2934)(1705,2241,2937)(1708,2162,
     2586)(1712,2250,2946)(1714,2253,2949)(1715,2254,2951)(1718,2258,2956)
     (1719,2259,2958)(1721,2261,2961)(1725,2267,2968)(1726,2268,2970)(1728,
     2270,2973)(1731,2274,2978)(1735,2280,2985)(1736,2281,2987)(1738,2283,
     2990)(1741,2287,2995)(1745,2293,3002)(1746,2294,3004)(1750,2300,3011)
     (1752,2303,3015)(1753,1815,2385)(1755,2305,3018)(1759,2311,3024)(1761,
     2314,3028)(1762,2315,3029)(1765,2319,3034)(1766,2320,3036)(1768,2322,
     3039)(1771,2326,3044)(1775,2332,3051)(1777,2335,3055)(1778,2336,3057)
     (1781,2340,3062)(1782,2341,3064)(1785,2345,3069)(1788,2349,3074)(1792,
     2355,3081)(1793,2356,3083)(1797,2362,3090)(1799,2365,3094)(1802,2369,
     3098)(1803,2370,3100)(1805,2372,3103)(1809,2378,3110)(1810,2379,3112)
     (1812,2381,3115)(1819,2391,3126)(1821,2394,3130)(1822,2395,3132)(1824,
     2397,3135)(1827,2401,3140)(1831,2407,3147)(1832,2408,3149)(1835,2412,
     3154)(1837,2415,3158)(1838,2416,3160)(1840,2418,3163)(1844,2424,3170)
     (1846,2427,3174)(1847,2428,3176)(1850,2432,3181)(1852,2434,3184)(1856,
     2440,3191)(1857,2441,3193)(1859,2443,3196)(1862,2447,3201)(1866,2453,
     3208)(1868,2456,3212)(1869,2457,3214)(1871,2459,3217)(1874,2463,3222)
     (1877,2467,3227)(1878,2468,3229)(1881,2472,3234)(1883,2474,3237)(1884,
     2475,2785)(1887,2479,3243)(1888,2480,3245)(1890,2482,3248)(1893,2486,
     3253)(1897,2492,3258)(1898,2493,3260)(1902,2499,3267)(1904,2502,3270)
     (1905,2503,3272)(1907,2505,3275)(1911,2511,3282)(1913,2514,3286)(1914,
     2515,3288)(1917,2519,3293)(1918,2520,2001)(1920,2522,3297)(1924,2528,
     3304)(1925,2529,3306)(1928,2532,3310)(1932,2538,3317)(1933,2539,3319)
     (1937,2545,3322)(1939,2548,3326)(1940,2549,3328)(1942,2551,3331)(1946,
     2557,3338)(1948,2560,3342)(1949,2561,3344)(1951,2563,3347)(1953,2565,
     3350)(1956,2568,3354)(1960,2574,3360)(1962,2577,3363)(1963,2578,3365)
     (1966,2582,3370)(1967,2583,3372)(1969,2585,3375)(1973,2591,3381)(1974,
     2592,3383)(1976,2594,3386)(1979,2598,3391)(1983,2604,3398)(1984,2605,
     3400)(1986,2607,3403)(1989,2611,3408)(1993,2617,3415)(1994,2618,3417)
     (1998,2624,3424)(2000,2627,3428)(2003,2629,3431)(2007,2635,3437)(2009,
     2638,3441)(2010,2639,3442)(2013,2643,3446)(2014,2644,3448)(2016,2646,
     3451)(2019,2650,3455)(2023,2656,3462)(2025,2659,3466)(2026,2660,3468)
     (2029,2664,3473)(2030,2665,3475)(2032,2667,3477)(2035,2672,3483)(2036,
     2673,3484)(2038,2675,3487)(2041,2679,3492)(2045,2685,3498)(2049,2691,
     3505)(2051,2694,3509)(2052,2695,3511)(2054,2697,3514)(2058,2703,2780)
     (2059,2704,3522)(2061,2706,3525)(2068,2716,3535)(2069,2717,3537)(2071,
     2719,3517)(2074,2723,3544)(2078,2729,3551)(2079,2730,3553)(2083,2736,
     3560)(2085,2739,3564)(2086,2740,3566)(2089,2744,3571)(2090,2745,3573)
     (2092,2747,3576)(2095,2751,3581)(2099,2757,3588)(2100,2758,3590)(2104,
     2764,3597)(2106,2767,3601)(2108,2769,3604)(2112,2775,3611)(2114,2778,
     3615)(2115,2779,3617)(2118,2783,3621)(2119,2784,3623)(2121,2786,3625)
     (2124,2790,3630)(2128,2796,3637)(2130,2799,3641)(2131,2800,3643)(2134,
     2804,3648)(2135,2805,3650)(2137,2807,3653)(2141,2813,3659)(2142,2814,
     3661)(2144,2816,3664)(2147,2820,3669)(2151,2826,3676)(2152,2827,3678)
     (2156,2833,3685)(2158,2836,3689)(2159,2837,3691)(2163,2841,3696)(2165,
     2842,3698)(2169,2848,3705)(2172,2850,3708)(2175,2854,3713)(2179,2859,
     3718)(2180,2860,3720)(2182,2862,3723)(2184,2864,3726)(2188,2870,3733)
     (2189,2871,3735)(2193,2877,3742)(2195,2880,3746)(2196,2881,3748)(2198,
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