b21 := (1,2,4)(5,6,8)(7,9,12)(10,13,16)(11,14,18)(15,19,24)(17,21,27)(20,25,32)
     (22,28,36)(23,29,38)(26,33,43)(30,39,48)(31,40,50)(34,44,54)(35,45,56)
     (37,46,58)(41,51,42)(47,59,72)(49,61,75)(52,64,78)(53,65,80)(55,67,83)
     (57,69,86)(60,73,91)(62,76,94)(63,77,96)(66,81,101)(68,84,104)(70,87,108)
     (71,88,110)(74,92,115)(79,98,122)(82,102,127)(85,105,131)(89,111,137)(90,
     112,139)(93,116,144)(95,118,147)(97,120,150)(99,123,153)(100,124,154)
     (103,128,159)(106,132,164)(107,133,166)(109,135,169)(113,140,175)(114,
     141,176)(117,145,181)(119,148,184)(121,151,188)(125,155,193)(126,156,195)
     (129,160,200)(130,161,201)(134,167,208)(136,170,179)(138,172,214)(142,
     177,219)(143,178,221)(146,182,225)(149,185,229)(152,189,234)(157,196,242)
     (158,197,244)(162,202,249)(163,203,251)(165,205,254)(168,209,259)(171,
     212,263)(173,215,266)(174,216,268)(180,222,274)(183,226,278)(186,230,282)
     (187,231,284)(190,235,289)(191,236,290)(192,237,292)(194,239,295)(198,
     245,301)(199,246,303)(204,252,309)(206,255,312)(207,256,314)(210,260,319)
     (211,261,321)(213,264,325)(217,269,331)(218,270,333)(220,272,336)(223,
     275,340)(224,276,342)(227,279,346)(228,280,348)(232,285,354)(233,286,356)
     (238,293,363)(240,296,367)(241,297,369)(243,299,372)(247,304,378)(248,
     305,288)(250,307,382)(253,310,386)(257,315,392)(258,316,393)(262,322,399)
     (265,326,404)(267,328,407)(271,334,414)(273,337,418)(277,343,425)(281,
     349,431)(283,351,434)(287,357,441)(291,360,445)(294,364,448)(298,370,455)
     (300,373,459)(302,375,462)(306,380,467)(308,383,470)(311,387,475)(313,
     389,478)(317,330,409)(318,394,482)(320,396,485)(323,400,490)(324,401,492)
     (327,405,497)(329,408,500)(332,411,504)(335,415,509)(338,419,513)(339,
     420,515)(341,422,518)(344,426,522)(345,427,524)(347,429,527)(350,432,531)
     (352,435,535)(353,436,537)(355,438,540)(358,442,390)(359,443,546)(361,
     446,549)(362,447,551)(365,449,554)(366,450,556)(368,452,559)(371,456,564)
     (374,460,569)(376,463,572)(377,464,574)(379,466,577)(381,468,580)(384,
     471,583)(385,472,585)(388,476,590)(391,479,593)(395,483,598)(397,486,601)
     (398,487,603)(402,493,610)(403,494,612)(406,498,617)(410,502,622)(412,
     505,625)(413,506,627)(416,510,632)(417,511,634)(421,516,640)(423,519,644)
     (424,520,646)(428,525,652)(430,528,656)(433,532,659)(437,538,666)(439,
     541,669)(440,542,670)(444,547,676)(451,557,686)(453,560,689)(454,561,690)
     (457,565,695)(458,566,697)(461,570,702)(465,575,707)(469,581,714)(473,
     586,720)(474,587,722)(477,591,727)(480,594,731)(481,595,733)(484,599,738)
     (488,604,743)(489,605,745)(491,607,748)(495,613,754)(496,614,756)(499,
     618,761)(501,620,764)(503,623,768)(507,628,774)(508,629,776)(512,635,783)
     (514,637,786)(517,641,788)(521,647,795)(523,649,798)(526,653,571)(529,
     657,804)(530,658,806)(533,660,809)(534,661,811)(536,663,814)(539,667,818)
     (543,671,823)(544,672,825)(545,673,827)(548,677,832)(550,679,835)(552,
     680,837)(553,681,839)(555,683,842)(558,687,847)(562,691,852)(563,692,854)
     (567,698,859)(568,699,861)(573,704,866)(576,708,664)(578,710,872)(579,
     711,874)(582,715,878)(584,717,881)(588,723,888)(589,724,890)(592,728,895)
     (596,734,901)(597,735,903)(600,739,908)(602,741,911)(606,746,916)(608,
     749,920)(609,750,922)(611,752,925)(615,757,930)(616,758,932)(619,762,936)
     (621,765,753)(624,769,943)(626,771,946)(630,777,952)(631,778,954)(633,
     780,957)(636,784,961)(638,706,868)(639,787,964)(642,789,967)(643,790,969)
     (645,792,972)(648,796,977)(650,799,980)(651,800,982)(654,801,984)(655,
     802,986)(662,812,997)(665,815,1001)(668,819,1006)(674,828,1016)(675,829,
     1018)(678,833,1023)(682,840,1031)(684,843,1034)(685,844,1035)(688,848,
     1040)(693,855,1048)(694,856,1049)(696,858,1052)(700,862,956)(701,740,909)
     (703,864,1059)(705,867,1062)(709,870,1066)(712,875,1072)(713,876,1074)
     (716,879,1078)(718,882,1081)(719,883,1083)(721,885,1086)(725,891,1093)
     (726,892,1095)(729,896,1099)(730,897,1101)(732,899,1104)(736,904,1110)
     (737,905,1112)(742,912,1120)(744,914,1123)(747,917,1125)(751,923,1132)
     (755,927,1137)(759,933,1144)(760,934,772)(763,937,1149)(766,939,1152)
     (767,940,1154)(770,944,1159)(773,947,1163)(775,949,1166)(779,955,1173)
     (781,958,1176)(782,959,1178)(785,962,1182)(791,970,1189)(793,973,1192)
     (794,974,1194)(797,978,1199)(803,987,1208)(805,989,1211)(807,991,1214)
     (808,992,1216)(810,994,1219)(813,998,1222)(816,1002,1226)(817,1003,1228)
     (820,1007,1233)(821,1008,1234)(822,1009,1236)(824,1011,1239)(826,1013,
     1242)(830,1019,1249)(831,1020,1251)(834,1024,1256)(836,1026,1259)(838,
     1028,1262)(841,1032,1267)(845,1036,1271)(846,1037,1273)(849,1041,1278)
     (850,1042,1279)(851,1043,1281)(853,1045,1284)(857,1050,1290)(860,1054,
     1295)(863,1057,1299)(865,1060,1303)(869,1064,1308)(871,1067,1312)(873,
     1069,1315)(877,1075,1321)(880,1079,1323)(884,1084,1329)(886,1087,1332)
     (887,1088,1333)(889,1090,1335)(893,1096,1341)(894,1097,1343)(898,1102,
     1349)(900,1105,1353)(902,1107,1355)(906,1113,1362)(907,1114,1171)(910,
     1117,1367)(913,1121,1371)(915,1124,1374)(918,1126,1377)(919,1127,1379)
     (921,1129,1381)(924,1133,1386)(926,1135,1389)(928,1138,1392)(929,1139,
     1394)(931,1141,1397)(935,1146,1403)(938,1150,1408)(941,1155,1414)(942,
     1156,1416)(945,1160,1421)(948,1164,1426)(950,1167,1430)(951,1168,1432)
     (953,1170,1435)(960,1179,1444)(963,1183,1449)(965,1185,1452)(966,1186,
     1454)(968,1187,1456)(971,1190,1460)(975,1195,1466)(976,1196,1468)(979,
     1200,1471)(981,1202,1474)(983,1109,1357)(985,1205,1478)(988,1209,1483)
     (990,1212,1485)(993,1217,1491)(995,1220,1494)(996,1148,1405)(999,1025,
     1257)(1000,1223,1498)(1004,1229,1505)(1005,1230,1507)(1010,1237,1366)
     (1012,1240,1517)(1014,1243,1520)(1015,1244,1522)(1017,1246,1525)(1021,
     1252,1531)(1022,1253,1533)(1027,1260,1541)(1029,1263,1544)(1030,1264,
     1546)(1033,1268,1551)(1038,1274,1558)(1039,1275,1560)(1044,1282,1568)
     (1046,1285,1572)(1047,1286,1574)(1051,1291,1580)(1053,1293,1583)(1055,
     1296,1586)(1056,1297,1588)(1058,1300,1592)(1061,1304,1597)(1063,1306,
     1600)(1065,1309,1604)(1068,1313,1607)(1070,1316,1611)(1071,1317,1613)
     (1073,1319,1616)(1076,1322,1619)(1080,1324,1622)(1082,1326,1625)(1085,
     1330,1630)(1089,1334,1635)(1091,1336,1637)(1092,1337,1639)(1094,1339,
     1642)(1098,1344,1648)(1100,1346,1651)(1103,1350,1656)(1106,1354,1661)
     (1108,1356,1663)(1111,1359,1666)(1115,1364,1672)(1116,1365,1673)(1118,
     1368,1676)(1119,1369,1310)(1122,1372,1455)(1128,1380,1688)(1130,1382,
     1690)(1131,1383,1692)(1134,1387,1697)(1136,1390,1701)(1140,1395,1707)
     (1142,1398,1710)(1143,1399,1712)(1145,1401,1715)(1147,1404,1719)(1151,
     1409,1724)(1153,1411,1727)(1157,1417,1733)(1158,1418,1735)(1161,1422,
     1740)(1162,1423,1742)(1165,1427,1745)(1169,1433,1750)(1172,1436,1754)
     (1174,1438,1756)(1175,1439,1758)(1177,1441,1761)(1180,1445,1766)(1181,
     1446,1768)(1184,1450,1772)(1188,1457,1778)(1191,1461,1783)(1193,1463,
     1786)(1197,1348,1653)(1198,1469,1792)(1201,1472,1795)(1203,1475,1798)
     (1204,1476,1800)(1206,1479,1804)(1207,1480,1806)(1210,1484,1811)(1213,
     1486,1814)(1215,1488,1817)(1218,1492,1822)(1221,1495,1826)(1224,1499,
     1830)(1225,1500,1832)(1227,1502,1835)(1231,1508,1842)(1232,1509,1844)
     (1235,1512,1848)(1238,1515,1852)(1241,1518,1856)(1245,1523,1862)(1247,
     1526,1866)(1248,1527,1868)(1250,1529,1871)(1254,1534,1876)(1255,1535,
     1878)(1258,1538,1882)(1261,1542,1887)(1265,1547,1893)(1266,1548,1895)
     (1269,1552,1899)(1270,1553,1901)(1272,1555,1904)(1276,1561,1911)(1277,
     1562,1913)(1280,1565,1917)(1283,1569,1920)(1287,1575,1926)(1288,1576,
     1927)(1289,1577,1929)(1292,1581,1933)(1294,1584,1937)(1298,1589,1943)
     (1301,1593,1948)(1302,1594,1950)(1305,1598,1955)(1307,1601,1959)(1311,
     1605,1963)(1314,1608,1965)(1318,1614,1615)(1320,1617,1972)(1325,1623,
     1979)(1327,1626,1982)(1328,1627,1984)(1331,1631,1989)(1338,1640,1998)
     (1340,1643,2002)(1342,1645,2005)(1345,1649,2010)(1347,1652,2013)(1351,
     1657,2018)(1352,1658,2020)(1358,1664,2027)(1360,1667,2031)(1361,1668,
     2033)(1363,1670,2036)(1370,1678,2045)(1373,1681,2049)(1375,1683,2052)
     (1376,1684,2054)(1378,1686,2057)(1384,1693,2065)(1385,1694,2067)(1388,
     1698,2072)(1391,1702,2077)(1393,1704,2080)(1396,1708,2083)(1400,1713,
     2089)(1402,1716,2093)(1406,1647,2007)(1407,1721,2099)(1410,1725,2104)
     (1412,1728,2108)(1413,1729,2110)(1419,1736,2118)(1420,1737,2120)(1424,
     1743,2125)(1425,1744,2127)(1428,1746,2130)(1429,1747,2132)(1431,1748,
     2134)(1434,1751,2138)(1437,1755,2143)(1440,1759,2148)(1442,1762,2151)
     (1443,1763,2153)(1447,1769,2160)(1448,1770,2162)(1451,1773,2166)(1453,
     1775,2169)(1458,1779,2174)(1459,1780,2176)(1462,1784,2181)(1464,1787,
     2183)(1465,1788,2185)(1467,1790,2188)(1470,1793,2192)(1473,1796,2196)
     (1477,1801,2200)(1481,1807,2205)(1482,1808,2207)(1487,1815,2215)(1489,
     1818,2218)(1490,1819,2220)(1493,1823,2224)(1496,1827,2228)(1497,1828,
     2230)(1501,1833,2235)(1503,1836,2239)(1504,1837,2241)(1506,1839,1805)
     (1510,1845,2250)(1511,1846,2252)(1513,1849,2255)(1514,1850,2257)(1516,
     1853,2260)(1519,1857,2265)(1521,1859,2268)(1524,1863,2271)(1528,1869,
     2278)(1530,1540,1884)(1532,1873,2283)(1536,1879,2289)(1537,1880,1891)
     (1539,1883,2293)(1543,1888,2299)(1545,1890,2302)(1549,1896,2307)(1550,
     1897,2309)(1554,1902,2315)(1556,1905,2319)(1557,1906,2320)(1559,1908,
     2323)(1563,1914,1967)(1564,1915,2331)(1566,1918,2334)(1567,1919,2336)
     (1570,1921,2339)(1571,1922,1603)(1573,1924,2343)(1578,1930,2350)(1579,
     1931,2351)(1582,1934,2355)(1585,1938,2360)(1587,1940,2363)(1590,1944,
     2368)(1591,1945,2370)(1595,1951,2377)(1596,1952,2379)(1599,1956,2383)
     (1602,1960,2051)(1606,1964,2391)(1609,1966,2008)(1610,1824,2225)(1612,
     1968,2395)(1618,1973,2401)(1620,1975,2404)(1621,1976,2406)(1624,1980,
     2411)(1628,1985,2417)(1629,1986,2419)(1632,1990,2424)(1633,1991,2425)
     (1634,1992,2427)(1636,1994,2430)(1638,1996,2433)(1641,1999,2434)(1644,
     2003,2439)(1646,2006,2443)(1650,2011,2448)(1654,2014,2452)(1655,2015,
     2454)(1659,2021,2460)(1660,2022,2462)(1662,2024,2465)(1665,2028,2468)
     (1669,2034,2475)(1671,2037,2479)(1674,2040,2482)(1675,2041,2484)(1677,
     2043,2415)(1679,2046,2490)(1680,2047,2492)(1682,2050,2496)(1685,2055,
     2500)(1687,2058,2503)(1689,2060,2506)(1691,2062,2509)(1695,2068,2516)
     (1696,2069,2518)(1699,2073,2505)(1700,2074,2523)(1703,2078,2527)(1705,
     2081,2530)(1706,2082,2532)(1709,2084,2535)(1711,2086,2538)(1714,2090,
     2543)(1717,2094,2547)(1718,2095,2549)(1720,2097,2551)(1722,2100,2555)
     (1723,2101,2557)(1726,2105,2560)(1730,2111,2567)(1731,2112,2568)(1732,
     2113,2570)(1734,2115,1997)(1738,2121,2579)(1739,2122,2581)(1741,2123,
     2583)(1749,2135,2595)(1752,2139,2600)(1753,2140,2602)(1757,2145,2607)
     (1760,2149,2612)(1764,2154,2617)(1765,2155,2619)(1767,2157,2622)(1771,
     2163,2628)(1774,2167,2633)(1776,2170,2636)(1777,2171,2638)(1781,2177,
     2645)(1782,2178,2646)(1785,2182,2650)(1789,2186,2655)(1791,2189,2658)
     (1794,2193,2663)(1797,2197,2668)(1799,2199,2671)(1802,2201,2674)(1803,
     2202,2676)(1809,2208,2682)(1810,2209,2684)(1812,2211,2441)(1813,2212,
     2131)(1816,2216,2691)(1820,2221,2697)(1821,2222,2699)(1825,2226,2703)
     (1829,2231,2708)(1831,2233,2711)(1834,2236,2713)(1838,2242,2720)(1840,
     2244,2722)(1841,2245,2724)(1843,2247,2727)(1847,2253,2734)(1851,2258,
     2739)(1854,2261,2742)(1855,2262,2743)(1858,2266,2747)(1860,2269,2750)
     (1861,2270,2752)(1864,2272,2755)(1865,2273,2757)(1867,2275,2760)(1870,
     2279,2765)(1872,2281,2695)(1874,2284,2770)(1875,2285,2772)(1877,2287,
     2775)(1881,2291,2779)(1885,2295,2784)(1886,2296,2786)(1889,2300,2791)
     (1892,2303,2794)(1894,2305,2797)(1898,2310,2803)(1900,2312,2806)(1903,
     2316,2809)(1907,2321,2814)(1909,2324,2816)(1910,2325,2818)(1912,2327,
     2821)(1916,2332,2827)(1923,2341,2835)(1925,2344,2837)(1928,2347,1954)
     (1932,2352,2844)(1935,2356,2849)(1936,2357,2851)(1939,2361,2856)(1941,
     2364,2859)(1942,2365,2861)(1946,2371,2867)(1947,2372,2869)(1949,2374,
     2872)(1953,2380,2879)(1957,2384,2884)(1958,2385,2886)(1961,2388,2348)
     (1962,2389,2864)(1969,2396,2897)(1970,2397,2898)(1971,2398,2900)(1974,
     2402,2905)(1977,2407,2910)(1978,2408,2911)(1981,2412,2916)(1983,2414,
     2738)(1987,2420,2924)(1988,2421,2926)(1993,2428,2522)(1995,2431,2936)
     (2000,2435,2941)(2001,2436,2943)(2004,2440,2947)(2009,2445,2952)(2012,
     2449,2957)(2016,2455,2964)(2017,2456,2966)(2019,2458,2969)(2023,2463,
     2974)(2025,2466,2977)(2026,2467,2979)(2029,2469,2982)(2030,2470,2984)
     (2032,2472,2987)(2035,2476,2991)(2038,2480,2996)(2039,2481,2997)(2042,
     2485,3002)(2044,2487,3005)(2048,2493,3011)(2053,2498,3016)(2056,2501,
     3020)(2059,2504,3024)(2061,2507,3027)(2063,2510,3030)(2064,2511,3032)
     (2066,2513,3035)(2070,2519,3042)(2071,2520,3044)(2075,2524,3048)(2076,
     2525,3050)(2079,2528,3054)(2085,2536,3062)(2087,2539,3065)(2088,2540,
     3067)(2091,2544,3072)(2092,2545,3074)(2096,2213,2550)(2098,2552,3081)
     (2102,2558,3086)(2103,2559,3088)(2106,2561,3091)(2107,2562,3093)(2109,
     2564,3096)(2114,2571,3104)(2116,2573,3106)(2117,2574,3108)(2119,2576,
     3111)(2124,2584,3120)(2126,2586,3123)(2128,2588,3125)(2129,2589,3127)
     (2133,2592,3131)(2136,2596,3136)(2137,2597,3138)(2141,2603,3143)(2142,
     2604,3145)(2144,2605,3147)(2146,2608,3150)(2147,2609,3152)(2150,2613,
     3157)(2152,2615,3160)(2156,2620,3166)(2158,2623,3170)(2159,2624,3172)
     (2161,2626,3175)(2164,2629,3178)(2165,2630,3180)(2168,2634,3185)(2172,
     2639,3189)(2173,2640,3191)(2175,2642,3194)(2179,2647,3200)(2180,2648,
     3202)(2184,2652,3206)(2187,2656,3210)(2190,2659,3213)(2191,2660,3215)
     (2194,2664,3219)(2195,2665,3221)(2198,2669,3226)(2203,2677,3235)(2204,
     2214,2688)(2206,2679,3238)(2210,2685,3244)(2217,2692,3252)(2219,2694,
     3255)(2223,2700,3260)(2227,2704,3265)(2229,2705,3266)(2232,2709,3270)
     (2234,2712,3274)(2237,2714,3277)(2238,2715,3279)(2240,2717,3282)(2243,
     2721,3287)(2246,2725,3292)(2248,2728,3294)(2249,2729,3296)(2251,2731,
     3299)(2254,2735,3303)(2256,2737,3306)(2259,2740,2437)(2263,2744,3313)
     (2264,2745,3314)(2267,2748,3318)(2274,2758,3328)(2276,2761,3331)(2277,
     2762,3332)(2280,2766,3336)(2282,2768,3339)(2286,2773,3345)(2288,2776,
     3349)(2290,2778,3352)(2292,2780,3355)(2294,2782,3357)(2297,2787,3363)
     (2298,2788,3365)(2301,2792,3370)(2304,2795,3374)(2306,2798,3377)(2308,
     2800,3380)(2311,2804,3385)(2313,2807,3388)(2314,2808,3390)(2317,2810,
     3393)(2318,2811,3395)(2322,2815,3400)(2326,2819,3405)(2328,2822,3408)
     (2329,2823,3409)(2330,2824,3411)(2333,2828,3416)(2335,2830,3419)(2337,
     2831,3421)(2338,2832,3423)(2340,2834,3426)(2342,2836,3429)(2345,2838,
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