b21 := (1,3,5)(4,6,9)(7,10,14)(8,11,16)(12,17,23)(13,18,25)(15,20,28)(19,26,35)
     (21,29,39)(22,30,41)(24,32,44)(27,36,49)(31,42,56)(33,45,60)(34,46,62)
     (37,50,67)(38,51,69)(40,53,72)(43,57,77)(47,63,84)(48,64,86)(52,70,93)
     (54,73,97)(55,74,99)(58,78,104)(59,79,106)(61,81,109)(65,87,116)(66,88,
     118)(68,90,121)(71,94,126)(75,100,133)(76,101,135)(80,107,142)(82,110,
     146)(83,111,148)(85,113,151)(89,119,158)(91,122,162)(92,123,164)(95,127,
     169)(96,128,140)(98,130,173)(102,136,180)(103,137,182)(105,139,185)(108,
     143,189)(112,149,196)(114,152,200)(115,153,202)(117,155,205)(120,159,210)
     (124,165,217)(125,166,219)(129,171,225)(131,174,229)(132,175,231)(134,
     177,234)(138,183,241)(141,186,245)(144,190,250)(145,191,252)(147,193,255)
     (150,197,260)(154,203,267)(156,206,271)(157,207,273)(160,211,278)(161,
     212,280)(163,214,283)(167,220,290)(168,221,292)(170,223,295)(172,226,299)
     (176,232,306)(178,235,310)(179,236,312)(181,238,315)(184,242,320)(187,
     246,325)(188,247,327)(192,253,333)(194,256,337)(195,257,339)(198,261,344)
     (199,262,346)(201,264,349)(204,268,354)(208,274,361)(209,275,363)(213,
     281,369)(215,284,373)(216,285,375)(218,287,378)(222,293,385)(224,296,389)
     (227,300,394)(228,301,396)(230,303,399)(233,307,404)(237,313,411)(239,
     316,415)(240,317,417)(243,321,422)(244,322,424)(248,328,431)(249,329,433)
     (251,331,436)(254,334,440)(258,340,447)(259,341,449)(263,347,456)(265,
     350,460)(266,351,462)(269,355,467)(270,356,469)(272,358,472)(276,364,479)
     (277,365,481)(279,367,484)(282,370,488)(286,376,495)(288,379,499)(289,
     380,501)(291,382,504)(294,386,509)(297,390,514)(298,391,516)(302,397,522)
     (304,400,526)(305,401,528)(308,405,533)(309,406,535)(311,408,538)(314,
     412,543)(318,418,550)(319,419,552)(323,425,559)(324,426,561)(326,428,564)
     (330,434,571)(332,437,575)(335,441,580)(336,442,582)(338,444,585)(342,
     450,591)(343,451,593)(345,453,596)(348,457,601)(352,463,608)(353,464,610)
     (357,470,616)(359,473,620)(360,474,622)(362,476,625)(366,482,632)(368,
     485,636)(371,489,641)(372,490,643)(374,492,646)(377,496,651)(381,502,658)
     (383,505,662)(384,506,664)(387,510,669)(388,511,671)(392,517,678)(393,
     518,680)(395,520,683)(398,523,687)(402,529,694)(403,530,696)(407,536,703)
     (409,539,707)(410,540,709)(413,544,714)(414,545,716)(416,547,719)(420,
     553,726)(421,554,728)(423,556,731)(427,562,738)(429,565,742)(430,566,744)
     (432,568,747)(435,572,752)(438,576,757)(439,577,759)(443,583,765)(445,
     586,769)(446,587,771)(448,588,772)(452,594,779)(454,597,783)(455,598,785)
     (458,602,790)(459,603,792)(461,605,795)(465,611,802)(466,612,804)(468,
     614,807)(471,617,811)(475,623,818)(477,626,822)(478,627,824)(480,629,827)
     (483,633,832)(486,637,837)(487,638,839)(491,644,845)(493,647,849)(494,
     648,851)(497,652,856)(498,653,858)(500,655,861)(503,659,866)(507,665,873)
     (508,666,875)(512,672,882)(513,673,884)(515,675,887)(519,681,894)(521,
     684,898)(524,688,903)(525,689,905)(527,691,908)(531,697,915)(532,698,917)
     (534,700,920)(537,704,925)(541,710,932)(542,711,934)(546,717,940)(548,
     720,944)(549,721,946)(551,723,949)(555,729,955)(557,732,959)(558,733,961)
     (560,735,964)(563,739,968)(567,745,975)(569,748,979)(570,749,981)(573,
     753,986)(574,754,988)(578,760,995)(579,761,997)(581,763,1000)(584,766,
     1004)(589,773,1012)(590,774,1014)(592,776,1017)(595,780,1022)(599,786,
     1029)(600,787,1031)(604,793,1037)(606,796,1041)(607,797,1043)(609,799,
     1046)(613,805,1053)(615,808,1057)(618,812,1062)(619,813,1064)(621,815,
     1067)(624,819,1072)(628,825,1079)(630,828,1083)(631,829,1085)(634,833,
     1090)(635,834,1092)(639,840,1099)(640,841,1101)(642,843,1104)(645,846,
     1108)(649,852,1115)(650,853,1117)(654,859,1123)(656,862,1127)(657,863,
     1129)(660,867,1134)(661,868,1136)(663,870,1139)(667,876,1146)(668,877,
     1148)(670,879,1151)(674,885,1158)(676,888,1162)(677,889,1164)(679,891,
     1167)(682,895,1172)(685,899,1177)(686,900,1179)(690,906,1185)(692,909,
     1189)(693,910,1191)(695,912,1194)(699,918,1201)(701,921,1205)(702,922,
     1207)(705,926,1212)(706,927,1214)(708,929,1217)(712,935,1224)(713,936,
     1226)(715,938,1229)(718,941,1233)(722,947,1240)(724,950,1243)(725,951,
     1245)(727,953,1248)(730,956,1252)(734,962,1258)(736,965,1261)(737,966,
     1263)(740,969,1267)(741,970,1269)(743,972,1272)(746,976,1277)(750,982,
     1284)(751,983,1286)(755,989,1293)(756,990,1295)(758,992,1298)(762,998,
     1305)(764,1001,1309)(767,1005,1313)(768,1006,1315)(770,1008,1318)(775,
     1015,1326)(777,1018,1330)(778,1019,1332)(781,1023,1337)(782,1024,1339)
     (784,1026,1342)(788,1032,1349)(789,1033,1351)(791,1035,1354)(794,1038,
     1358)(798,1044,1365)(800,1047,1369)(801,1048,1371)(803,1050,1374)(806,
     1054,1379)(809,1058,1384)(810,1059,1386)(814,1065,1392)(816,1068,1396)
     (817,1069,1398)(820,1073,1403)(821,1074,1405)(823,1076,1408)(826,1080,
     1413)(830,1086,1419)(831,1087,1421)(835,1093,1428)(836,1094,1430)(838,
     1096,1433)(842,1102,1440)(844,1105,1444)(847,1109,1449)(848,1110,1451)
     (850,1112,1454)(854,1118,1460)(855,1119,1462)(857,1121,1465)(860,1124,
     1469)(864,1130,1476)(865,1131,1478)(869,1137,1483)(871,1140,1487)(872,
     1141,1489)(874,1143,1492)(878,1149,1499)(880,1152,1503)(881,1153,1505)
     (883,1155,1508)(886,1159,1513)(890,1165,1520)(892,1168,1523)(893,1169,
     1525)(896,1173,1530)(897,1174,1532)(901,1180,1538)(902,1181,1540)(904,
     1183,1543)(907,1186,1547)(911,1192,1193)(913,1195,1555)(914,1196,1557)
     (916,1198,1560)(919,1202,1565)(923,1208,1572)(924,1209,1574)(928,1215,
     1580)(930,1218,1584)(931,1219,1586)(933,1221,1589)(937,1227,1596)(939,
     1230,1600)(942,1234,1605)(943,1235,1607)(945,1237,1176)(948,1241,1614)
     (952,1246,1620)(954,1249,1624)(957,1253,1629)(958,1254,1631)(960,1256,
     1634)(963,1259,1638)(967,1264,1644)(971,1270,1651)(973,1273,1655)(974,
     1274,1657)(977,1278,1662)(978,1279,1664)(980,1281,1667)(984,1287,1674)
     (985,1288,1676)(987,1290,1679)(991,1296,1686)(993,1299,1690)(994,1300,
     1692)(996,1302,1695)(999,1306,1700)(1002,1310,1705)(1003,1311,1707)(1007,
     1316,1577)(1009,1319,1715)(1010,1320,1717)(1011,1321,1719)(1013,1323,
     1722)(1016,1327,1727)(1020,1333,1734)(1021,1334,1736)(1025,1340,1742)
     (1027,1343,1746)(1028,1344,1748)(1030,1346,1751)(1034,1352,1758)(1036,
     1355,1762)(1039,1359,1767)(1040,1360,1769)(1042,1362,1772)(1045,1366,
     1777)(1049,1372,1784)(1051,1375,1788)(1052,1376,1790)(1055,1380,1795)
     (1056,1381,1797)(1060,1387,1804)(1061,1388,1806)(1063,1390,1809)(1066,
     1393,1813)(1070,1399,1820)(1071,1400,1822)(1075,1406,1828)(1077,1409,
     1832)(1078,1410,1834)(1081,1414,1839)(1082,1415,1841)(1084,1417,1844)
     (1088,1422,1850)(1089,1423,1852)(1091,1425,1855)(1095,1431,1862)(1097,
     1434,1866)(1098,1435,1868)(1100,1437,1871)(1103,1441,1876)(1106,1445,
     1881)(1107,1446,1883)(1111,1452,1889)(1113,1455,1893)(1114,1456,1895)
     (1116,1458,1898)(1120,1463,1904)(1122,1466,1908)(1125,1470,1913)(1126,
     1471,1915)(1128,1473,1918)(1132,1479,1925)(1133,1416,1842)(1135,1481,
     1928)(1138,1484,1932)(1142,1490,1939)(1144,1493,1943)(1145,1494,1945)
     (1147,1496,1948)(1150,1500,1953)(1154,1506,1959)(1156,1509,1962)(1157,
     1510,1964)(1160,1514,1969)(1161,1515,1971)(1163,1517,1974)(1166,1521,
     1979)(1170,1526,1985)(1171,1527,1987)(1175,1533,1994)(1178,1535,1997)
     (1182,1541,2004)(1184,1544,2008)(1187,1548,2013)(1188,1549,2015)(1190,
     1551,2018)(1197,1558,2025)(1199,1561,2029)(1200,1562,2031)(1203,1566,
     2036)(1204,1567,2038)(1206,1569,2041)(1210,1575,2048)(1211,1576,2050)
     (1213,1578,2052)(1216,1581,2056)(1220,1587,2063)(1222,1590,2067)(1223,
     1591,2069)(1225,1593,2072)(1228,1597,2077)(1231,1601,2082)(1232,1602,
     2084)(1236,1608,2090)(1238,1610,2093)(1239,1611,2095)(1242,1615,2100)
     (1244,1617,2103)(1247,1621,2108)(1250,1625,2113)(1251,1626,2115)(1255,
     1632,2122)(1257,1635,2126)(1260,1639,2131)(1262,1641,2134)(1265,1645,
     2138)(1266,1646,2140)(1268,1648,2143)(1271,1652,2148)(1275,1658,2155)
     (1276,1659,2157)(1280,1665,2163)(1282,1668,2167)(1283,1669,2169)(1285,
     1671,2172)(1289,1677,2179)(1291,1680,2183)(1292,1681,2185)(1294,1683,
     2188)(1297,1687,2193)(1301,1693,2200)(1303,1696,2204)(1304,1697,2206)
     (1307,1701,2211)(1308,1702,2213)(1312,1708,2220)(1314,1710,2223)(1317,
     1712,2226)(1322,1720,2235)(1324,1723,2239)(1325,1724,2241)(1328,1728,
     2246)(1329,1729,2248)(1331,1731,2251)(1335,1737,2258)(1336,1738,2260)
     (1338,1740,2263)(1341,1743,2267)(1345,1749,2274)(1347,1752,2278)(1348,
     1753,2280)(1350,1755,2283)(1353,1759,2288)(1356,1763,2293)(1357,1764,
     2295)(1361,1770,2301)(1363,1773,2305)(1364,1774,2307)(1367,1778,2312)
     (1368,1779,2314)(1370,1781,2317)(1373,1785,2322)(1377,1791,2329)(1378,
     1792,2331)(1382,1798,2338)(1383,1799,2340)(1385,1801,2343)(1389,1807,
     2350)(1391,1810,2354)(1394,1814,2359)(1395,1815,2361)(1397,1817,2364)
     (1401,1823,2371)(1402,1824,2373)(1404,1826,2376)(1407,1829,2380)(1411,
     1835,2387)(1412,1836,2389)(1418,1845,2398)(1420,1847,2401)(1424,1853,
     2408)(1426,1856,2412)(1427,1857,2414)(1429,1859,2417)(1432,1863,2422)
     (1436,1869,2429)(1438,1872,2433)(1439,1873,2435)(1442,1877,2440)(1443,
     1878,2442)(1447,1884,2449)(1448,1885,2451)(1450,1887,2454)(1453,1890,
     2458)(1457,1896,1897)(1459,1899,2467)(1461,1901,2470)(1464,1905,2475)
     (1467,1909,2480)(1468,1910,2482)(1472,1916,2488)(1474,1919,2492)(1475,
     1920,2494)(1477,1922,2497)(1480,1926,2501)(1482,1929,2504)(1485,1933,
     2509)(1486,1934,2511)(1488,1936,2514)(1491,1940,2519)(1495,1946,2526)
     (1497,1949,2530)(1498,1950,2532)(1501,1954,2537)(1502,1955,2539)(1504,
     1957,2542)(1507,1960,2546)(1511,1965,2552)(1512,1966,2554)(1516,1972,
     2561)(1518,1975,2565)(1519,1976,2567)(1522,1980,2572)(1524,1982,2575)
     (1528,1988,2582)(1529,1989,2584)(1531,1991,2587)(1534,1995,2592)(1536,
     1998,2596)(1537,1999,2598)(1539,2001,2601)(1542,2005,2606)(1545,2009,
     2611)(1546,2010,2613)(1550,2016,2619)(1552,2019,2623)(1553,2020,2625)
     (1554,2021,2627)(1556,2022,2629)(1559,2026,2634)(1563,2032,2641)(1564,
     2033,2643)(1568,2039,2649)(1570,2042,2653)(1571,2043,2655)(1573,2045,
     2658)(1579,2053,2667)(1582,2057,2672)(1583,2058,2674)(1585,2060,2677)
     (1588,2064,2682)(1592,2070,2689)(1594,2073,2693)(1595,2074,2695)(1598,
     2078,2700)(1599,2079,2702)(1603,2085,2709)(1604,2086,2711)(1606,2088,
     2714)(1609,2091,2718)(1612,2096,2724)(1613,2097,2726)(1616,2101,2731)
     (1618,2104,2735)(1619,2105,2737)(1622,2109,2742)(1623,2110,2744)(1627,
     2116,2751)(1628,2117,2753)(1630,2119,2756)(1633,2123,2761)(1636,2127,
     2766)(1637,2128,2768)(1640,2132,2772)(1642,2135,2776)(1643,2129,2769)
     (1647,2141,2783)(1649,2144,2787)(1650,2145,2789)(1653,2149,2794)(1654,
     2150,2796)(1656,2152,2799)(1660,2158,2806)(1661,2159,2808)(1663,2161,
     2811)(1666,2164,2815)(1670,2170,2822)(1672,2173,2826)(1673,2174,2828)
     (1675,2176,2830)(1678,2180,2835)(1682,2186,2841)(1684,2189,2845)(1685,
     2190,2847)(1688,2194,2852)(1689,2195,2854)(1691,2197,2857)(1694,2201,
     2862)(1698,2207,2869)(1699,2208,2871)(1703,2214,2878)(1704,2215,2880)
     (1706,2217,2883)(1709,2221,2888)(1711,2224,2892)(1713,2227,2896)(1714,
     2228,2898)(1716,2230,2901)(1718,2232,2904)(1721,2236,2909)(1725,2242,
     2916)(1726,2243,2918)(1730,2249,2924)(1732,2252,2928)(1733,2253,2930)
     (1735,2255,2933)(1739,2261,2940)(1741,2264,2944)(1744,2268,2949)(1745,
     2269,2951)(1747,2271,2954)(1750,2275,2959)(1754,2281,2966)(1756,2284,
     2970)(1757,2285,2972)(1760,2289,2977)(1761,2290,2979)(1765,2296,2986)
     (1766,2297,2988)(1768,2299,2991)(1771,2302,2995)(1775,2308,3002)(1776,
     2309,3004)(1780,2315,3011)(1782,2318,3014)(1783,2319,3016)(1786,2323,
     3021)(1787,2324,3023)(1789,2326,3026)(1793,2332,3033)(1794,2333,3035)
     (1796,2335,3038)(1800,2341,3045)(1802,2344,3049)(1803,2345,3051)(1805,
     2347,3054)(1808,2351,3059)(1811,2355,3064)(1812,2356,3066)(1816,2362,
     3072)(1818,2365,3076)(1819,2366,3078)(1821,2368,3081)(1825,2374,3088)
     (1827,2377,3092)(1830,2381,3097)(1831,2382,3099)(1833,2384,3102)(1837,
     2390,3109)(1838,2391,3111)(1840,2393,3114)(1843,2395,3117)(1846,2399,
     3122)(1848,2402,3126)(1849,2403,3128)(1851,2405,3131)(1854,2409,3136)
     (1858,2415,3141)(1860,2418,3101)(1861,2419,3146)(1864,2423,3151)(1865,
     2424,3153)(1867,2426,3156)(1870,2430,3161)(1874,2436,3168)(1875,2437,
     3170)(1879,2443,3177)(1880,2444,3179)(1882,2446,3182)(1886,2452,3189)
     (1888,2455,3193)(1891,2459,3198)(1892,2460,3200)(1894,2462,3203)(1900,
     2468,3210)(1902,2471,3214)(1903,2472,3216)(1906,2476,3221)(1907,2477,
     3222)(1911,2483,3229)(1912,2484,3231)(1914,2486,3234)(1917,2489,3238)
     (1921,2495,3245)(1923,2498,3249)(1924,2499,3251)(1927,2502,3255)(1930,
     2505,3259)(1931,2506,3261)(1935,2512,3267)(1937,2515,3271)(1938,2516,
     3273)(1941,2520,3278)(1942,2521,3280)(1944,2523,3283)(1947,2527,3287)
     (1951,2533,3294)(1952,2534,3296)(1956,2540,3303)(1958,2543,3307)(1961,
     2547,3312)(1963,2549,3315)(1967,2555,3322)(1968,2556,3324)(1970,2558,
     3327)(1973,2562,3332)(1977,2568,3339)(1978,2569,3341)(1981,2573,3345)
     (1983,2576,3349)(1984,2577,3351)(1986,2579,3354)(1990,2585,3361)(1992,
     2588,3365)(1993,2589,3367)(1996,2593,3372)(2000,2599,3379)(2002,2602,
     3383)(2003,2603,3385)(2006,2607,3390)(2007,2608,3392)(2011,2614,3399)
     (2012,2615,3401)(2014,2617,3404)(2017,2620,3408)(2023,2630,3419)(2024,
     2631,3421)(2027,2635,3426)(2028,2636,3428)(2030,2638,3431)(2034,2644,
     3438)(2035,2645,3440)(2037,2647,3443)(2040,2650,3447)(2044,2656,3454)
     (2046,2659,3458)(2047,2660,3460)(2049,2662,3463)(2051,2664,3466)(2054,
     2668,3471)(2055,2669,3473)(2059,2675,3479)(2061,2678,3483)(2062,2679,
     3485)(2065,2683,3490)(2066,2684,3492)(2068,2686,3495)(2071,2690,3500)
     (2075,2696,3506)(2076,2697,3508)(2080,2703,3515)(2081,2704,3517)(2083,
     2706,3520)(2087,2712,3527)(2089,2715,3531)(2092,2719,3536)(2094,2721,
     3539)(2098,2727,3546)(2099,2728,3548)(2102,2732,3553)(2106,2738,3560)
     (2107,2739,3562)(2111,2745,3568)(2112,2746,3570)(2114,2748,3573)(2118,
     2754,3580)(2120,2757,3584)(2121,2758,3586)(2124,2762,3591)(2125,2763,
     3593)(2130,2770,3601)(2133,2773,3605)(2136,2777,3610)(2137,2778,3612)
     (2139,2780,3615)(2142,2784,3620)(2146,2790,3627)(2147,2791,3629)(2151,
     2797,3635)(2153,2800,3639)(2154,2801,3641)(2156,2803,3644)(2160,2809,
     3651)(2162,2812,3655)(2165,2816,3660)(2166,2817,3662)(2168,2819,3665)
     (2171,2823,3670)(2177,2831,3679)(2178,2832,3681)(2181,2836,3685)(2182,
     2837,3687)(2184,2839,3690)(2187,2842,3694)(2191,2848,3701)(2192,2849,
     3703)(2196,2855,3710)(2198,2858,3714)(2199,2859,3716)(2202,2863,3721)
     (2203,2864,3723)(2205,2866,3726)(2209,2872,3733)(2210,2873,3735)(2212,
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