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)
     (97,131,174)(99,134,177)(100,135,179)(103,139,184)(104,140,186)(106,142,
     189)(109,146,194)(113,152,200)(115,155,204)(116,156,206)(119,160,211)
     (120,161,213)(122,163,216)(126,169,222)(127,170,224)(129,172,227)(132,
     175,231)(136,180,237)(137,181,239)(141,187,246)(143,190,250)(144,191,252)
     (147,195,257)(148,196,259)(150,198,262)(153,201,266)(157,207,273)(158,
     208,275)(162,214,282)(164,217,286)(165,218,288)(167,220,291)(171,225,297)
     (173,228,301)(176,232,306)(178,234,309)(182,240,316)(183,241,318)(185,
     243,321)(188,247,325)(192,253,332)(193,254,334)(197,260,341)(199,263,345)
     (202,267,350)(203,268,352)(205,270,355)(209,276,362)(210,277,364)(212,
     279,366)(215,283,371)(219,289,378)(221,292,382)(223,294,385)(226,298,390)
     (229,302,395)(230,303,397)(233,307,402)(235,310,406)(236,311,408)(238,
     313,411)(242,319,417)(245,322,421)(248,326,426)(249,327,427)(251,329,430)
     (255,335,437)(256,336,439)(258,338,442)(261,342,447)(264,346,278)(265,
     347,453)(269,353,459)(271,356,463)(272,357,465)(274,359,468)(280,367,476)
     (281,368,478)(284,372,483)(285,373,484)(287,375,487)(290,379,492)(293,
     383,497)(295,386,314)(296,387,502)(299,391,507)(300,392,509)(304,398,515)
     (305,399,517)(308,403,522)(312,409,528)(315,412,531)(317,414,534)(320,
     418,539)(323,422,544)(324,423,546)(328,428,552)(330,431,556)(331,432,558)
     (333,434,561)(337,440,568)(339,443,572)(340,444,574)(343,448,579)(344,
     449,581)(348,454,587)(349,455,588)(354,460,594)(358,466,601)(360,469,605)
     (361,470,607)(363,472,610)(365,474,613)(369,479,619)(370,480,621)(374,
     485,627)(376,488,631)(377,489,633)(380,493,638)(381,494,640)(384,498,644)
     (388,503,648)(389,504,650)(393,510,656)(394,511,658)(396,512,660)(400,
     518,667)(401,519,669)(404,523,671)(405,524,673)(407,526,676)(410,529,680)
     (413,532,684)(415,535,688)(416,536,690)(419,540,695)(420,541,697)(424,
     547,703)(425,548,705)(429,553,710)(433,559,716)(435,562,720)(436,563,722)
     (438,565,725)(441,569,729)(445,575,736)(446,576,738)(450,582,745)(451,
     583,747)(452,584,749)(456,589,755)(457,590,757)(458,591,759)(461,595,763)
     (462,596,765)(464,598,768)(467,602,773)(471,608,780)(473,611,784)(475,
     614,788)(477,616,791)(481,622,798)(482,623,800)(486,628,806)(490,634,813)
     (491,635,815)(495,641,822)(496,642,824)(499,645,828)(500,646,830)(501,
     647,657)(505,651,836)(506,652,838)(508,629,807)(513,661,847)(514,662,849)
     (516,664,850)(520,550,707)(525,674,859)(527,677,863)(530,681,868)(533,
     685,872)(537,691,879)(538,692,881)(542,698,888)(543,699,890)(545,701,855)
     (549,706,897)(551,708,900)(554,711,904)(555,712,796)(557,714,908)(560,
     717,912)(564,723,919)(566,726,923)(567,603,774)(570,730,927)(571,731,929)
     (573,733,932)(577,739,938)(578,740,940)(580,742,943)(585,750,951)(586,
     751,953)(592,760,961)(593,761,963)(597,766,969)(599,769,973)(600,770,975)
     (604,775,981)(606,777,984)(609,781,753)(612,785,993)(615,789,998)(617,
     792,1002)(618,793,1004)(620,795,1007)(624,801,1013)(625,802,1015)(626,
     803,1017)(630,808,1023)(632,810,1026)(636,816,1033)(637,817,1035)(639,
     819,871)(643,825,672)(649,833,1049)(653,839,1056)(654,840,1057)(655,841,
     1059)(659,844,1063)(663,689,876)(665,851,1071)(666,852,1073)(668,854,
     1076)(670,856,1078)(675,860,1082)(678,864,1087)(679,865,1089)(682,869,
     936)(683,870,903)(686,873,1097)(687,874,1099)(693,882,1107)(694,883,1109)
     (696,885,1112)(702,892,1119)(704,894,983)(709,901,1128)(713,906,1133)
     (715,909,1137)(718,913,1142)(719,914,1144)(721,916,895)(724,920,1151)
     (727,924,1156)(728,925,1158)(732,930,1163)(734,933,1167)(735,934,1169)
     (737,935,1171)(741,941,1176)(743,944,1180)(744,945,1182)(746,947,1184)
     (748,949,1187)(752,954,1191)(754,955,1193)(756,957,1196)(758,959,1199)
     (762,964,1205)(764,966,1208)(767,970,1213)(771,976,1219)(772,977,1221)
     (776,982,1227)(778,985,1230)(779,986,1232)(782,989,1236)(783,990,946)
     (786,994,1242)(787,995,1243)(790,999,1248)(794,1005,1255)(797,1008,1259)
     (799,1010,1262)(804,1018,1271)(805,1019,1273)(809,1024,1279)(811,1027,
     1283)(812,1028,1285)(814,1030,1287)(818,1036,1293)(820,1038,1295)(821,
     1039,1297)(823,1040,1299)(826,1042,1302)(827,1043,1304)(829,867,1091)
     (831,1046,1308)(832,1047,1310)(834,1050,1314)(835,1051,1316)(837,1053,
     1319)(842,1060,1327)(843,1061,858)(845,1064,1332)(846,1065,1094)(848,
     1067,1336)(853,1074,1343)(857,1079,1348)(861,1083,1352)(862,1084,1354)
     (866,1090,1360)(875,1100,1370)(877,1102,1373)(880,1104,1376)(884,1110,
     1381)(886,1113,1385)(887,1114,1387)(889,1116,1389)(891,1117,1391)(893,
     1120,1395)(896,1122,1398)(898,1124,1401)(899,1125,1403)(902,1129,1408)
     (905,1131,1411)(907,1134,1415)(910,1138,1420)(911,1139,1422)(915,1145,
     1428)(917,1147,1430)(918,1148,1432)(921,1152,1437)(922,1153,1439)(926,
     1159,1445)(928,1160,1447)(931,1164,1451)(937,1172,1459)(939,1173,1461)
     (942,1177,1466)(948,1185,1472)(950,1162,1448)(952,1189,1476)(956,1194,
     1481)(958,1197,1485)(960,1200,1489)(962,1202,1491)(965,1206,1496)(967,
     1209,1499)(968,1210,1500)(971,1214,1505)(972,1215,1507)(974,1217,1510)
     (978,1222,1515)(979,1223,1517)(980,1224,1519)(987,1233,1528)(988,1234,
     1530)(991,1238,1533)(992,1239,1115)(996,1244,1157)(997,1245,1186)(1000,
     1249,1545)(1001,1250,1547)(1003,1252,1549)(1006,1256,1554)(1009,1260,
     1559)(1011,1263,1563)(1012,1264,1072)(1014,1266,1567)(1016,1268,1170)
     (1020,1274,1575)(1021,1275,1577)(1022,1276,1579)(1025,1280,1106)(1029,
     1286,1237)(1031,1288,1569)(1032,1289,1592)(1034,1291,1595)(1041,1300,
     1605)(1044,1305,1572)(1045,1306,1612)(1048,1311,1604)(1052,1317,1623)
     (1054,1320,1627)(1055,1321,1629)(1058,1324,1633)(1062,1329,1639)(1066,
     1334,1636)(1068,1337,1648)(1069,1338,1650)(1070,1339,1652)(1075,1344,
     1658)(1077,1095,1364)(1080,1349,1663)(1081,1350,1665)(1085,1355,1671)
     (1086,1307,1613)(1088,1357,1674)(1092,1362,1680)(1093,1363,1681)(1096,
     1365,1529)(1098,1367,1686)(1101,1371,1691)(1103,1374,1695)(1105,1377,
     1699)(1111,1382,1703)(1118,1392,1713)(1121,1396,1718)(1123,1399,1721)
     (1126,1404,1725)(1127,1405,1727)(1130,1409,1732)(1132,1412,1736)(1135,
     1416,1741)(1136,1417,1743)(1140,1423,1749)(1141,1424,1751)(1143,1425,
     1753)(1146,1429,1758)(1149,1433,1763)(1150,1434,1765)(1154,1440,1484)
     (1155,1441,1772)(1165,1452,1780)(1166,1453,1781)(1168,1455,1784)(1174,
     1462,1790)(1175,1463,1792)(1178,1467,1796)(1179,1468,1798)(1181,1470,
     1801)(1183,1335,1645)(1188,1474,1748)(1190,1477,1697)(1192,1479,1810)
     (1195,1482,1814)(1198,1486,1818)(1201,1490,1822)(1203,1492,1825)(1204,
     1493,1826)(1207,1497,1664)(1211,1501,1835)(1212,1502,1837)(1216,1508,
     1844)(1218,1511,1848)(1220,1513,1850)(1225,1520,1857)(1226,1521,1859)
     (1228,1390,1532)(1229,1523,1861)(1231,1525,1864)(1235,1531,1869)(1240,
     1535,1873)(1241,1536,1874)(1246,1541,1879)(1247,1542,1881)(1251,1548,
     1887)(1253,1550,1889)(1254,1551,1789)(1257,1555,1895)(1258,1556,1897)
     (1261,1560,1901)(1265,1565,1905)(1267,1568,1907)(1269,1570,1909)(1270,
     1571,1911)(1272,1573,1913)(1277,1580,1921)(1278,1581,1923)(1281,1584,
     1927)(1282,1585,1929)(1284,1587,1932)(1290,1593,1938)(1292,1596,1619)
     (1294,1598,1944)(1296,1600,1946)(1298,1602,1948)(1301,1606,1951)(1303,
     1608,1954)(1309,1615,1961)(1312,1538,1876)(1313,1618,1965)(1315,1620,
     1967)(1318,1624,1971)(1322,1630,1976)(1323,1631,1978)(1325,1634,1982)
     (1326,1635,1379)(1328,1637,1788)(1330,1640,1987)(1331,1641,1989)(1333,
     1643,1609)(1340,1653,1998)(1341,1654,2000)(1342,1655,2002)(1345,1659,
     2006)(1346,1660,1667)(1347,1661,2008)(1351,1666,2013)(1353,1668,2015)
     (1356,1672,2019)(1358,1675,1997)(1359,1676,2024)(1361,1678,2026)(1366,
     1684,2033)(1368,1687,2037)(1369,1688,1444)(1372,1692,2041)(1375,1696,
     2046)(1378,1700,2049)(1380,1701,2051)(1383,1704,2054)(1384,1705,1457)
     (1386,1707,2057)(1388,1709,2060)(1393,1714,2064)(1394,1715,2066)(1400,
     1722,2074)(1402,1465,1794)(1406,1728,2081)(1407,1729,2083)(1410,1733,
     2088)(1413,1737,2093)(1414,1738,2095)(1418,1744,2101)(1419,1745,2103)
     (1421,1747,2106)(1426,1754,1443)(1427,1755,2111)(1431,1760,2116)(1435,
     1766,2122)(1436,1767,2123)(1438,1769,1779)(1442,1773,2129)(1446,1775,
     1912)(1449,1776,2133)(1450,1777,2134)(1454,1782,1566)(1456,1785,2142)
     (1458,1786,2144)(1460,1787,2146)(1464,1793,2149)(1469,1799,2155)(1471,
     1802,2159)(1473,1804,2162)(1475,1806,2163)(1478,1809,2166)(1480,1811,
     1562)(1483,1815,2172)(1487,1819,1995)(1488,1820,2177)(1494,1827,2184)
     (1495,1828,2185)(1498,1831,2189)(1503,1838,2195)(1504,1839,2197)(1506,
     1841,2200)(1509,1845,2204)(1512,1849,2209)(1514,1851,2212)(1516,1853,
     2215)(1518,1854,2216)(1522,1860,2222)(1524,1862,2225)(1526,1865,2228)
     (1527,1866,2230)(1534,1871,2232)(1537,1875,2235)(1539,1877,2238)(1540,
     1878,2240)(1543,1882,2244)(1544,1883,2245)(1546,1884,2247)(1552,1891,
     2254)(1553,1892,2255)(1557,1898,1647)(1558,1899,2262)(1561,1902,2265)
     (1564,1903,2115)(1574,1914,2276)(1576,1916,1750)(1578,1918,2281)(1582,
     1924,2287)(1583,1925,1622)(1586,1930,2293)(1588,1933,2297)(1589,1934,
     2299)(1590,1935,2301)(1594,1939,2306)(1597,1942,2310)(1599,1945,2314)
     (1601,1685,2034)(1603,1888,2250)(1607,1952,2321)(1610,1955,2325)(1611,
     1956,2327)(1614,1959,2300)(1616,1962,2334)(1617,1963,2336)(1621,1968,
     2340)(1625,1833,2191)(1626,1972,2343)(1628,1973,2344)(1632,1979,2349)
     (1638,1984,2354)(1642,1990,2359)(1644,1991,2361)(1646,1993,2364)(1649,
     1886,1757)(1651,1996,2367)(1656,2003,2373)(1657,2004,2298)(1662,2009,
     2380)(1669,2016,2387)(1670,2017,2389)(1673,2020,2393)(1679,2027,2399)
     (1682,2030,2402)(1683,2031,2272)(1690,2038,2410)(1693,2042,2413)(1694,
     2043,2415)(1698,2047,2419)(1702,2052,1812)(1706,2055,2427)(1708,2058,
     2430)(1710,1735,2090)(1711,2061,2433)(1712,2062,2435)(1716,2067,2441)
     (1717,2068,2443)(1719,2070,2446)(1720,2071,2447)(1723,2075,2451)(1724,
     2076,2452)(1726,2078,2454)(1730,2084,2460)(1731,2085,2396)(1734,2089,
     2466)(1739,2096,2471)(1740,1759,2114)(1742,2098,2473)(1746,2104,2437)
     (1752,2108,2481)(1756,2112,2486)(1761,2117,1894)(1762,1958,2329)(1764,
     2119,2491)(1768,2124,2496)(1770,2126,2498)(1771,2127,2358)(1774,2130,
     1867)(1778,2135,2507)(1783,2139,2512)(1791,2147,2520)(1795,2150,2523)
     (1797,2152,2526)(1800,2156,2531)(1803,2160,2535)(1805,2154,2528)(1807,
     2164,2539)(1808,1937,2303)(1813,2169,2366)(1816,2173,2547)(1817,2174,
     2275)(1823,2179,2552)(1824,2180,2554)(1829,2186,2560)(1830,2187,2102)
     (1832,2190,2565)(1834,2192,2567)(1836,2193,2569)(1840,2198,2573)(1842,
     2201,2553)(1843,2202,2125)(1846,2205,2578)(1847,2206,2296)(1852,2213,
     2586)(1855,2217,2591)(1856,2218,2593)(1858,2220,2596)(1863,2226,2602)
     (1868,2231,2077)(1870,1917,2279)(1872,2233,2608)(1880,2242,2236)(1885,
     2248,2618)(1890,2252,2622)(1893,2256,2476)(1896,2258,2629)(1900,2263,
     2633)(1904,2267,2637)(1906,2269,2639)(1908,2271,2641)(1910,2273,2585)
     (1915,2277,2646)(1919,2282,2651)(1920,2283,2653)(1922,2285,2656)(1926,
     2289,2661)(1928,2291,2663)(1931,2294,2666)(1936,2302,2672)(1940,2307,
     1986)(1941,2308,2678)(1943,2311,2682)(1947,2316,2636)(1949,2317,2688)
     (1950,2318,2690)(1953,2322,2694)(1957,2328,2699)(1960,2331,2702)(1964,
     2337,2705)(1966,2338,2707)(1969,2053,2424)(1970,2341,2710)(1974,2036,
     2408)(1975,2345,2714)(1977,2346,2716)(1980,2350,2720)(1981,2351,2029)
     (1983,2353,2724)(1985,2355,2726)(1988,2357,2729)(1992,2362,2734)(1994,
     2365,2738)(1999,2369,2741)(2001,2370,2743)(2005,2375,2749)(2007,2377,
     2752)(2010,2381,2755)(2011,2382,2757)(2012,2383,2759)(2014,2384,2761)
     (2018,2390,2768)(2021,2394,2773)(2022,2395,2774)(2025,2397,2776)(2028,
     2400,2780)(2032,2404,2783)(2035,2407,2786)(2040,2411,2791)(2044,2416,
     2795)(2045,2417,2797)(2048,2420,2440)(2050,2421,2801)(2056,2428,2808)
     (2059,2431,2811)(2063,2436,2815)(2065,2438,2449)(2069,2444,2335)(2072,
     2257,2627)(2073,2448,2210)(2079,2455,2333)(2080,2456,2832)(2082,2457,
     2833)(2086,2462,2758)(2087,2463,2837)(2091,2467,2323)(2092,2468,2842)
     (2094,2372,2745)(2097,2472,2846)(2100,2474,2848)(2105,2478,2851)(2107,
     2480,2854)(2109,2482,2855)(2110,2483,2464)(2113,2487,2859)(2118,2489,
     2313)(2120,2492,2865)(2121,2493,2332)(2128,2500,2469)(2131,2502,2874)
     (2132,2503,2730)(2136,2508,2881)(2137,2509,2434)(2138,2510,2171)(2141,
     2513,2886)(2143,2515,2889)(2145,2517,2676)(2148,2168,2543)(2151,2524,
     2897)(2153,2527,2900)(2157,2532,2904)(2158,2533,2906)(2161,2536,2910)
     (2165,2540,2913)(2167,2542,2916)(2170,2545,2919)(2175,2549,2924)(2176,
     2288,2659)(2178,2470,2843)(2181,2555,2199)(2182,2556,2930)(2183,2557,
     2931)(2188,2562,2937)(2194,2570,2945)(2196,2571,2946)(2203,2577,2951)
     (2207,2580,2955)(2208,2581,2896)(2211,2583,2958)(2214,2587,2959)(2219,
     2594,2649)(2221,2597,2968)(2223,2599,2971)(2224,2600,2973)(2227,2603,
     2756)(2229,2605,2976)(2234,2609,2979)(2237,2490,2862)(2239,2611,2981)
     (2241,2612,2982)(2243,2614,2604)(2246,2616,2986)(2249,2619,2988)(2251,
     2620,2378)(2253,2623,2992)(2259,2630,2999)(2260,2631,3001)(2261,2632,
     3002)(2264,2634,2751)(2266,2635,2606)(2268,2589,2961)(2270,2640,3007)
     (2274,2643,2885)(2278,2647,3015)(2280,2648,2610)(2284,2654,3020)(2286,
     2657,3023)(2290,2662,3027)(2292,2347,2717)(2295,2667,3033)(2304,2579,
     2953)(2305,2674,3038)(2309,2679,3041)(2312,2683,3043)(2315,2685,3046)
     (2319,2691,2723)(2320,2692,3054)(2324,2695,3058)(2326,2697,3061)(2330,
     2453,2828)(2339,2650,3016)(2342,2711,3073)(2348,2718,3079)(2352,2722,
     2414)(2356,2727,3084)(2360,2731,3087)(2363,2735,3092)(2368,2740,3098)
     (2371,2744,3102)(2374,2747,3105)(2376,2750,3109)(2379,2753,3112)(2385,
     2762,3116)(2386,2763,2677)(2388,2765,3119)(2391,2769,3123)(2392,2770,
     3124)(2398,2777,3130)(2401,2781,3134)(2403,2782,3136)(2405,2709,3070)
     (2406,2784,3138)(2409,2788,3141)(2412,2792,3145)(2418,2798,3150)(2422,
     2802,3155)(2423,2803,3157)(2425,2805,2905)(2426,2806,3161)(2429,2809,
     3165)(2432,2812,3167)(2439,2817,3170)(2442,2550,2925)(2445,2821,2625)
     (2450,2825,3179)(2458,2834,3186)(2459,2835,3187)(2461,2836,2590)(2465,
     2838,3191)(2475,2849,3199)(2477,2850,3201)(2479,2852,3202)(2484,2856,
     3083)(2485,2857,3052)(2488,2860,3209)(2494,2867,3216)(2495,2868,2839)
     (2497,2870,3219)(2499,2746,3103)(2501,2873,3222)(2504,2876,3226)(2505,
     2877,3228)(2506,2878,3230)(2514,2887,3237)(2516,2890,3240)(2518,2892,
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