b21 := (1,3,6)(2,4,8)(5,9,13)(7,10,15)(11,16,22)(12,17,24)(14,19,27)(18,25,33)
     (20,28,37)(21,29,39)(23,31,42)(26,34,46)(30,40,53)(32,43,57)(35,47,62)
     (36,48,64)(38,50,67)(41,54,72)(44,58,77)(45,59,79)(49,65,86)(51,68,90)
     (52,69,92)(55,73,97)(56,74,99)(60,80,106)(61,81,108)(63,83,111)(66,87,
     116)(70,93,123)(71,94,125)(75,100,132)(76,101,134)(78,103,137)(82,109,
     144)(84,112,148)(85,113,150)(88,117,155)(89,118,157)(91,120,160)(95,126,
     167)(96,127,169)(98,129,172)(102,135,179)(104,138,183)(105,139,185)(107,
     141,188)(110,145,193)(114,151,200)(115,152,202)(119,158,209)(121,161,213)
     (122,162,215)(124,164,218)(128,170,224)(130,173,228)(131,174,230)(133,
     176,233)(136,180,238)(140,186,245)(142,189,249)(143,190,251)(146,194,256)
     (147,195,258)(149,197,261)(153,203,268)(154,204,270)(156,206,273)(159,
     210,278)(163,216,285)(165,219,288)(166,220,290)(168,222,293)(171,225,297)
     (175,231,304)(177,234,308)(178,235,310)(181,239,315)(182,240,317)(184,
     242,320)(187,246,325)(191,252,332)(192,253,334)(196,259,341)(198,262,345)
     (199,263,347)(201,265,350)(205,271,357)(207,274,361)(208,275,363)(211,
     279,368)(212,280,370)(214,282,373)(217,286,378)(221,291,384)(223,294,388)
     (226,298,393)(227,299,395)(229,301,398)(232,305,403)(236,311,410)(237,
     312,412)(241,318,419)(243,321,423)(244,322,425)(247,326,430)(248,327,432)
     (250,329,435)(254,335,442)(255,336,444)(257,338,447)(260,342,452)(264,
     348,459)(266,351,462)(267,352,464)(269,354,467)(272,358,472)(276,364,479)
     (277,365,481)(281,371,488)(283,374,492)(284,375,494)(287,379,499)(289,
     381,502)(292,385,507)(295,389,512)(296,390,514)(300,396,521)(302,399,525)
     (303,400,527)(306,404,532)(307,405,534)(309,407,537)(313,413,544)(314,
     414,546)(316,416,549)(319,420,554)(323,426,561)(324,427,563)(328,433,570)
     (330,436,574)(331,437,576)(333,439,579)(337,445,586)(339,448,589)(340,
     449,591)(343,453,595)(344,454,597)(346,456,600)(349,460,605)(353,465,611)
     (355,468,615)(356,469,617)(359,473,622)(360,474,624)(362,476,627)(366,
     482,634)(367,483,635)(369,485,638)(372,489,643)(376,495,650)(377,496,652)
     (380,500,657)(382,503,661)(383,504,663)(386,508,668)(387,509,670)(391,
     515,676)(392,516,678)(394,518,681)(397,522,686)(401,528,693)(402,529,695)
     (406,535,702)(408,538,706)(409,539,708)(411,541,711)(415,547,718)(417,
     550,722)(418,551,724)(421,555,729)(422,556,731)(424,558,734)(428,564,741)
     (429,565,743)(431,567,746)(434,571,751)(438,577,758)(440,580,762)(441,
     581,764)(443,583,767)(446,587,772)(450,592,778)(451,593,780)(455,598,786)
     (457,601,790)(458,602,792)(461,606,797)(463,608,800)(466,612,805)(470,
     618,812)(471,619,814)(475,625,821)(477,628,825)(478,629,827)(480,631,830)
     (484,636,836)(486,639,840)(487,640,842)(490,644,847)(491,645,849)(493,
     647,852)(497,653,859)(498,654,861)(501,658,866)(505,664,873)(506,665,875)
     (510,671,882)(511,672,884)(513,673,886)(517,679,893)(519,682,897)(520,
     683,899)(523,687,903)(524,688,905)(526,690,908)(530,696,685)(531,697,916)
     (533,699,918)(536,703,923)(540,709,929)(542,712,933)(543,713,935)(545,
     715,938)(548,719,943)(552,725,950)(553,726,952)(557,732,959)(559,735,963)
     (560,736,965)(562,738,968)(566,744,975)(568,747,979)(569,748,981)(572,
     752,986)(573,753,988)(575,755,991)(578,759,996)(582,765,1003)(584,768,
     1007)(585,769,1009)(588,773,1014)(590,775,1017)(594,781,1024)(596,783,
     1005)(599,787,1031)(603,793,1038)(604,794,1040)(607,798,1045)(609,801,
     1049)(610,802,1051)(613,806,1056)(614,807,1058)(616,809,1061)(620,815,
     1068)(621,816,1070)(623,818,1073)(626,822,1078)(630,828,1085)(632,831,
     1089)(633,832,1091)(637,837,1097)(641,843,1104)(642,844,1106)(646,850,
     1113)(648,853,1117)(649,854,1119)(651,856,1122)(655,862,1129)(656,863,
     1131)(659,867,1136)(660,868,1138)(662,870,1141)(666,876,1148)(667,877,
     1150)(669,879,1153)(674,887,1162)(675,888,1164)(677,890,1167)(680,894,
     1172)(684,900,1179)(689,906,1186)(691,909,1190)(692,910,1192)(694,912,
     1195)(698,817,1071)(700,919,1203)(701,920,1205)(704,891,1168)(705,924,
     1210)(707,926,1213)(710,930,1218)(714,936,1225)(716,939,1229)(717,940,
     1231)(720,944,1236)(721,945,1238)(723,947,1241)(727,953,1248)(728,954,
     1250)(730,956,1253)(733,960,1258)(737,966,1265)(739,969,1269)(740,970,
     1271)(742,972,1274)(745,976,1279)(749,982,1286)(750,983,1288)(754,989,
     1295)(756,992,1299)(757,993,1301)(760,997,1306)(761,998,1308)(763,1000,
     1311)(766,1004,1316)(770,1010,1321)(771,1011,1323)(774,1015,1328)(776,
     1018,1332)(777,1019,1334)(779,1021,1337)(782,1025,1341)(784,1027,1343)
     (785,1028,1345)(788,1032,1350)(789,1033,1352)(791,1035,1355)(795,1041,
     1362)(796,1042,1364)(799,1046,1369)(803,1052,1376)(804,1053,1378)(808,
     1059,1385)(810,1062,1389)(811,1063,1391)(813,1065,1394)(819,1074,1403)
     (820,1075,1405)(823,1079,1410)(824,1080,1412)(826,1082,1415)(829,1086,
     1420)(833,1092,1427)(834,1093,1429)(835,1094,1431)(838,1098,1436)(839,
     1099,1438)(841,1101,1441)(845,1107,1448)(846,1108,1450)(848,1110,1453)
     (851,1114,1458)(855,1120,1464)(857,1123,1468)(858,1124,1470)(860,1126,
     1472)(864,1132,1479)(865,1133,1481)(869,1139,1488)(871,1142,1492)(872,
     1143,1494)(874,1145,1497)(878,1151,1504)(880,1154,1507)(881,1155,1509)
     (883,1157,1512)(885,1159,1514)(889,1165,1521)(892,1169,1526)(895,1173,
     1531)(896,1174,1533)(898,1176,1536)(901,1180,1541)(902,1181,1543)(904,
     1183,1546)(907,1187,1551)(911,1193,1223)(913,1196,1560)(914,1197,1562)
     (915,1198,1564)(917,1200,1567)(921,1206,1574)(922,1207,1576)(925,1211,
     1581)(927,1214,1585)(928,1215,1587)(931,1219,1591)(932,1220,1593)(934,
     1222,1596)(937,1226,1600)(941,1232,1607)(942,1233,1609)(946,1239,1616)
     (948,1242,1620)(949,1243,1622)(951,1245,1625)(955,1251,1632)(957,1254,
     1636)(958,1255,1638)(961,1259,1643)(962,1260,1645)(964,1262,1648)(967,
     1266,1653)(971,1272,1660)(973,1275,1664)(974,1276,1666)(977,1280,1671)
     (978,1281,1673)(980,1283,1676)(984,1289,1683)(985,1290,1685)(987,1292,
     1688)(990,1296,1693)(994,1302,1700)(995,1303,1702)(999,1309,1709)(1001,
     1312,1713)(1002,1313,1715)(1006,1317,1719)(1008,1319,1721)(1012,1324,
     1727)(1013,1325,1728)(1016,1329,1733)(1020,1335,1740)(1022,1338,1744)
     (1023,1339,1746)(1026,1105,1445)(1029,1346,1754)(1030,1347,1756)(1034,
     1353,1762)(1036,1356,1766)(1037,1357,1768)(1039,1359,1771)(1043,1365,
     1778)(1044,1366,1780)(1047,1370,1785)(1048,1371,1787)(1050,1373,1790)
     (1054,1379,1796)(1055,1380,1798)(1057,1382,1801)(1060,1386,1806)(1064,
     1392,1813)(1066,1395,1817)(1067,1396,1819)(1069,1398,1822)(1072,1401,
     1826)(1076,1406,1832)(1077,1407,1834)(1081,1413,1841)(1083,1416,1845)
     (1084,1417,1847)(1087,1421,1851)(1088,1422,1853)(1090,1424,1856)(1095,
     1432,1865)(1096,1433,1500)(1100,1439,1873)(1102,1442,1877)(1103,1443,
     1879)(1109,1451,1888)(1111,1454,1892)(1112,1455,1894)(1115,1459,1899)
     (1116,1460,1901)(1118,1462,1904)(1121,1465,1908)(1125,1471,1914)(1127,
     1473,1917)(1128,1474,1919)(1130,1476,1922)(1134,1482,1929)(1135,1483,
     1931)(1137,1485,1934)(1140,1489,1938)(1144,1495,1945)(1146,1498,1949)
     (1147,1499,1951)(1149,1501,1953)(1152,1505,1958)(1156,1510,1964)(1158,
     1513,1968)(1160,1515,1971)(1161,1516,1973)(1163,1518,1976)(1166,1522,
     1980)(1170,1527,1985)(1171,1528,1987)(1175,1534,1994)(1177,1537,1998)
     (1178,1538,2000)(1182,1544,2007)(1184,1547,2010)(1185,1548,2012)(1188,
     1552,2017)(1189,1553,2019)(1191,1555,2022)(1194,1557,2025)(1199,1565,
     2034)(1201,1568,2038)(1202,1569,2040)(1204,1571,2043)(1208,1577,2050)
     (1209,1578,2052)(1212,1582,2057)(1216,1588,1217)(1221,1594,2070)(1224,
     1597,2074)(1227,1601,2079)(1228,1602,2081)(1230,1604,2084)(1234,1610,
     2091)(1235,1611,2093)(1237,1613,2096)(1240,1617,2101)(1244,1623,2108)
     (1246,1626,2112)(1247,1627,2114)(1249,1629,2117)(1252,1633,2122)(1256,
     1639,2129)(1257,1640,2131)(1261,1646,2138)(1263,1649,2142)(1264,1650,
     1374)(1267,1654,2148)(1268,1655,2150)(1270,1657,2153)(1273,1661,2158)
     (1277,1667,2164)(1278,1668,2166)(1282,1674,2172)(1284,1677,2176)(1285,
     1678,2178)(1287,1680,2181)(1291,1686,2188)(1293,1689,2192)(1294,1690,
     2194)(1297,1694,2199)(1298,1695,2201)(1300,1697,2204)(1304,1703,2211)
     (1305,1704,2213)(1307,1706,2216)(1310,1710,2221)(1314,1716,2228)(1315,
     1717,2230)(1318,1720,2234)(1320,1722,2237)(1322,1724,2239)(1326,1729,
     2244)(1327,1730,2246)(1330,1734,2251)(1331,1735,2253)(1333,1737,2256)
     (1336,1741,2260)(1340,1747,2267)(1342,1749,2270)(1344,1751,2273)(1348,
     1757,2280)(1349,1758,2282)(1351,1759,2284)(1354,1763,2288)(1358,1769,
     2295)(1360,1772,2299)(1361,1773,2301)(1363,1775,2304)(1367,1781,2311)
     (1368,1782,2313)(1372,1788,2320)(1375,1791,2324)(1377,1793,2327)(1381,
     1799,2334)(1383,1802,2337)(1384,1803,2339)(1387,1807,2344)(1388,1808,
     2346)(1390,1810,2349)(1393,1814,2354)(1397,1820,2361)(1399,1823,2365)
     (1400,1824,2367)(1402,1827,2371)(1404,1829,2374)(1408,1835,2381)(1409,
     1836,2383)(1411,1838,2386)(1414,1842,2391)(1418,1848,2398)(1419,1849,
     2400)(1423,1854,2406)(1425,1857,2410)(1426,1858,2412)(1428,1860,2415)
     (1430,1862,2418)(1434,1867,2423)(1435,1868,2425)(1437,1870,2428)(1440,
     1874,2433)(1444,1880,2440)(1446,1882,2443)(1447,1883,2445)(1449,1885,
     2448)(1452,1889,2453)(1456,1895,2460)(1457,1896,2462)(1461,1902,2469)
     (1463,1905,2473)(1466,1909,2477)(1467,1910,2478)(1469,1912,2481)(1475,
     1920,2490)(1477,1923,2494)(1478,1924,2496)(1480,1926,2499)(1484,1932,
     2506)(1486,1828,2372)(1487,1935,2510)(1490,1939,2515)(1491,1940,2517)
     (1493,1942,2520)(1496,1946,2525)(1502,1954,2534)(1503,1955,2536)(1506,
     1959,2541)(1508,1961,2544)(1511,1965,2549)(1517,1974,2558)(1519,1977,
     2562)(1520,1978,2564)(1523,1981,2568)(1524,1982,2570)(1525,1983,2572)
     (1529,1988,2578)(1530,1989,2580)(1532,1991,2582)(1535,1995,2587)(1539,
     2001,2594)(1540,2002,2596)(1542,2004,2599)(1545,2008,2604)(1549,2013,
     2610)(1550,2014,2611)(1554,2020,2618)(1556,2023,2622)(1558,2026,2626)
     (1559,2027,2628)(1561,2029,2128)(1563,2031,2632)(1566,2035,2637)(1570,
     2041,2643)(1572,2044,2647)(1573,2045,2648)(1575,2047,2651)(1579,2053,
     2658)(1580,2054,2660)(1583,2058,2229)(1584,2059,2666)(1586,2061,2669)
     (1589,2064,2673)(1590,2065,2675)(1592,2067,2678)(1595,2071,2683)(1598,
     2075,2688)(1599,2076,2690)(1603,2082,2697)(1605,2085,2701)(1606,2086,
     2703)(1608,2088,2706)(1612,2094,2713)(1614,2097,2717)(1615,2098,2719)
     (1618,2102,2724)(1619,2103,2726)(1621,2105,2169)(1624,2109,2733)(1628,
     2115,2740)(1630,2118,2744)(1631,2119,2746)(1634,2123,2751)(1635,2124,
     2753)(1637,2126,2756)(1641,2132,2761)(1642,2133,2763)(1644,2135,2766)
     (1647,2139,1969)(1651,2144,2776)(1652,2145,2778)(1656,2151,2785)(1658,
     2154,2788)(1659,2155,2790)(1662,2159,2795)(1663,2060,2667)(1665,2161,
     2797)(1669,2167,2804)(1670,2168,2806)(1672,2136,2767)(1675,2173,2811)
     (1679,2179,2817)(1681,2182,2821)(1682,2183,2823)(1684,2185,2826)(1687,
     2189,2831)(1691,2195,2838)(1692,2196,2840)(1696,2202,2847)(1698,2205,
     2851)(1699,2206,2853)(1701,2208,2856)(1705,2214,2863)(1707,2217,2866)
     (1708,2218,2868)(1711,2222,2872)(1712,2223,2874)(1714,2225,2877)(1718,
     2231,2883)(1723,2238,2891)(1725,2240,2276)(1726,2241,2895)(1731,2247,
     2900)(1732,2248,2902)(1736,2254,2909)(1738,2257,2913)(1739,2258,2915)
     (1742,2261,2919)(1743,2262,2921)(1745,2264,2924)(1748,2268,2929)(1750,
     2271,1800)(1752,2274,2935)(1753,2275,2937)(1755,2277,2939)(1760,2110,
     2734)(1761,2285,2948)(1764,2289,2953)(1765,2290,2955)(1767,2292,2958)
     (1770,2296,2963)(1774,2302,2970)(1776,2305,2974)(1777,2306,2976)(1779,
     2308,2978)(1783,2314,2985)(1784,2315,2987)(1786,2317,2990)(1789,2321,
     2995)(1792,2325,3000)(1794,2328,3004)(1795,2329,3006)(1797,2331,3009)
     (1804,2340,3018)(1805,2341,3020)(1809,2347,3027)(1811,2350,3030)(1812,
     2351,3032)(1815,2355,3036)(1816,2356,3038)(1818,2358,3041)(1821,2362,
     3046)(1825,2368,3053)(1830,2375,3061)(1831,2376,3063)(1833,2378,3066)
     (1837,2384,3073)(1839,2387,3077)(1840,2388,2635)(1843,2392,3083)(1844,
     2393,3085)(1846,2395,3088)(1850,2401,3094)(1852,2403,3097)(1855,2407,
     3102)(1859,2413,3109)(1861,2416,3113)(1863,2419,3117)(1864,2420,3119)
     (1866,2421,3121)(1869,2426,3127)(1871,2429,3130)(1872,2430,3132)(1875,
     2434,3137)(1876,2435,3139)(1878,2437,3142)(1881,2441,3146)(1884,2446,
     3151)(1886,2449,3154)(1887,2450,3156)(1890,2454,3161)(1891,2455,3163)
     (1893,2457,3166)(1897,2463,3173)(1898,2464,2867)(1900,2466,3177)(1903,
     2470,3182)(1906,2474,1907)(1911,2479,3192)(1913,2482,3195)(1915,2484,
     3198)(1916,2485,3200)(1918,2487,3203)(1921,2491,3207)(1925,2497,3214)
     (1927,2500,3218)(1928,2501,3220)(1930,2503,3223)(1933,2507,3228)(1936,
     2511,3233)(1937,2512,3235)(1941,2518,3242)(1943,2521,3246)(1944,2522,
     3248)(1947,2526,3253)(1948,2527,3255)(1950,2529,3258)(1952,2531,3261)
     (1956,2537,3267)(1957,2538,3269)(1960,2542,3274)(1962,2545,3278)(1963,
     2546,2488)(1966,2550,3284)(1967,2551,3286)(1970,2553,3289)(1972,2555,
     3292)(1975,2559,3297)(1979,2565,3304)(1984,2573,3313)(1986,2575,3316)
     (1990,2581,3322)(1992,2583,3325)(1993,2584,3327)(1996,2588,3332)(1997,
     2589,3334)(1999,2591,3337)(2003,2597,3344)(2005,2600,3348)(2006,2601,
     2728)(2009,2605,3354)(2011,2607,3357)(2015,2612,3363)(2016,2613,3365)
     (2018,2615,3368)(2021,2619,3373)(2024,2623,3377)(2028,2629,3384)(2030,
     2476,3188)(2032,2633,3389)(2033,2634,3390)(2036,2638,3394)(2037,2639,
     3396)(2039,2641,3399)(2042,2644,3403)(2046,2649,3407)(2048,2652,3410)
     (2049,2653,3412)(2051,2655,3415)(2055,2661,3421)(2056,2662,3423)(2062,
     2670,3431)(2063,2671,3433)(2066,2676,3439)(2068,2679,3443)(2069,2680,
     3445)(2072,2684,3450)(2073,2685,3451)(2077,2691,3457)(2078,2692,3459)
     (2080,2694,3462)(2083,2698,3467)(2087,2704,3473)(2089,2707,3477)(2090,
     2708,3479)(2092,2710,3481)(2095,2714,3486)(2099,2720,3493)(2100,2721,
     3495)(2104,2727,3502)(2106,2729,3504)(2107,2730,3506)(2111,2735,3512)
     (2113,2737,3515)(2116,2741,3520)(2120,2747,3527)(2121,2748,3529)(2125,
     2754,3536)(2127,2757,3540)(2130,2759,3543)(2134,2764,3548)(2137,2768,
     3553)(2140,2771,3557)(2141,2772,3559)(2143,2774,3562)(2146,2779,3567)
     (2147,2780,3569)(2149,2782,3572)(2152,2786,3575)(2156,2791,3580)(2157,
     2792,3582)(2160,2796,3587)(2162,2798,3590)(2163,2799,3592)(2165,2801,
     3595)(2170,2807,3601)(2171,2808,3603)(2174,2812,3608)(2175,2813,3610)
     (2177,2814,2762)(2180,2818,3616)(2184,2824,3623)(2186,2827,3627)(2187,
     2828,3629)(2190,2832,3633)(2191,2833,3635)(2193,2835,3638)(2197,2841,
     3644)(2198,2842,3646)(2200,2844,3649)(2203,2848,3654)(2207,2854,3661)
     (2209,2857,3664)(2210,2858,3666)(2212,2860,2307)(2215,2864,3672)(2219,
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