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)(31,43,58)(32,44,60)
     (36,50,67)(38,53,71)(39,54,73)(41,56,76)(45,61,82)(46,62,84)(48,64,87)
     (51,68,92)(55,74,99)(57,77,103)(59,79,106)(63,85,113)(65,88,117)(66,89,
     119)(69,93,124)(70,94,126)(72,96,129)(75,100,134)(78,104,139)(80,107,143)
     (81,108,145)(83,110,148)(86,114,153)(90,120,160)(91,121,162)(95,127,169)
     (97,130,173)(98,131,175)(101,135,180)(102,136,182)(105,140,187)(109,146,
     194)(111,149,198)(112,150,200)(115,154,205)(116,155,207)(118,157,210)
     (122,163,217)(123,164,219)(125,166,222)(128,170,227)(132,176,234)(133,
     177,236)(137,183,243)(138,184,245)(141,188,250)(142,189,252)(144,191,255)
     (147,195,260)(151,201,267)(152,202,269)(156,208,276)(158,211,280)(159,
     212,282)(161,214,285)(165,220,292)(167,223,296)(168,224,298)(171,228,303)
     (172,229,305)(174,231,308)(178,237,315)(179,238,317)(181,240,320)(185,
     246,327)(186,247,329)(190,253,336)(192,256,340)(193,257,342)(196,261,347)
     (197,262,349)(199,264,352)(203,270,359)(204,271,361)(206,273,364)(209,
     277,369)(213,283,376)(215,286,380)(216,287,382)(218,289,385)(221,293,390)
     (225,299,397)(226,300,399)(230,306,406)(232,309,410)(233,310,412)(235,
     312,415)(239,318,422)(241,321,426)(242,322,428)(244,324,431)(248,330,438)
     (249,331,440)(251,333,443)(254,337,448)(258,343,455)(259,344,457)(263,
     350,464)(265,353,468)(266,354,470)(268,356,473)(272,362,480)(274,365,484)
     (275,366,486)(278,370,491)(279,371,493)(281,373,496)(284,377,501)(288,
     383,508)(290,386,512)(291,387,514)(294,391,519)(295,392,521)(297,394,524)
     (301,400,531)(302,401,533)(304,403,536)(307,407,541)(311,413,548)(313,
     416,552)(314,417,554)(316,419,557)(319,423,562)(323,429,569)(325,432,573)
     (326,433,575)(328,435,578)(332,441,585)(334,444,589)(335,445,591)(338,
     449,596)(339,450,598)(341,452,601)(345,458,608)(346,459,610)(348,461,613)
     (351,465,618)(355,471,625)(357,474,629)(358,475,631)(360,477,634)(363,
     481,639)(367,487,646)(368,488,648)(372,494,655)(374,497,659)(375,498,661)
     (378,502,666)(379,503,664)(381,505,670)(384,509,675)(388,515,682)(389,
     516,684)(393,522,690)(395,525,694)(396,526,696)(398,528,699)(402,534,705)
     (404,537,709)(405,538,711)(408,542,716)(409,543,718)(411,545,721)(414,
     549,726)(418,555,733)(420,558,737)(421,559,739)(424,563,744)(425,564,746)
     (427,566,748)(430,570,529)(434,576,758)(436,579,762)(437,580,764)(439,
     582,767)(442,586,772)(446,592,778)(447,593,780)(451,599,787)(453,602,791)
     (454,603,793)(456,605,796)(460,611,803)(462,614,807)(463,615,809)(466,
     619,814)(467,620,816)(469,622,819)(472,626,824)(476,632,831)(478,635,835)
     (479,636,837)(482,640,842)(483,641,844)(485,643,847)(489,649,854)(490,
     650,856)(492,652,859)(495,656,864)(499,662,871)(500,663,873)(504,668,878)
     (506,671,882)(507,672,884)(510,676,889)(511,677,891)(513,679,894)(517,
     685,901)(518,686,903)(520,688,906)(523,691,908)(527,697,916)(530,700,920)
     (532,702,923)(535,706,928)(539,712,935)(540,713,937)(544,719,944)(546,
     722,948)(547,723,950)(550,727,955)(551,728,957)(553,730,960)(556,734,965)
     (560,740,972)(561,741,974)(565,747,981)(567,749,984)(568,750,986)(571,
     753,990)(572,754,992)(574,755,994)(577,759,999)(581,765,1006)(583,768,
     1010)(584,769,1012)(587,773,1017)(588,774,1019)(590,775,1021)(594,781,
     1028)(595,782,1030)(597,784,1033)(600,788,1038)(604,794,1045)(606,797,
     1049)(607,798,1051)(609,800,1054)(612,804,1059)(616,810,1066)(617,811,
     1068)(621,817,1074)(623,820,1078)(624,821,1080)(627,825,1085)(628,826,
     1087)(630,828,1090)(633,832,1095)(637,838,1102)(638,839,1104)(642,845,
     1111)(644,848,1115)(645,849,1117)(647,851,1120)(651,857,1127)(653,860,
     1131)(654,861,1133)(657,865,1138)(658,866,1140)(660,868,1143)(665,874,
     1150)(667,876,1153)(669,879,1157)(673,885,1164)(674,886,1166)(678,892,
     1173)(680,895,1175)(681,896,1177)(683,898,1180)(687,904,893)(689,907,
     1190)(692,910,1193)(693,911,1195)(695,913,1198)(698,917,1203)(701,921,
     1208)(703,924,1212)(704,925,1214)(707,929,1219)(708,930,1221)(710,932,
     1224)(714,938,1231)(715,939,1233)(717,941,1236)(720,945,1241)(724,951,
     1248)(725,952,1250)(729,958,1257)(731,961,1261)(732,962,1263)(735,966,
     1268)(736,967,1270)(738,969,1273)(742,975,1280)(743,976,1282)(745,978,
     1285)(751,987,1295)(752,988,1297)(756,995,1304)(757,996,1306)(760,1000,
     1311)(761,1001,1313)(763,1003,1316)(766,1007,1321)(770,1013,1328)(771,
     1014,1320)(776,1022,1338)(777,1023,1340)(779,1025,1343)(783,1031,1350)
     (785,1034,1354)(786,1035,1356)(789,1039,1361)(790,1040,1363)(792,1042,
     1366)(795,1046,1371)(799,1052,1378)(801,1055,1382)(802,1056,1383)(805,
     1060,1388)(806,1061,1390)(808,1063,1393)(812,1069,1400)(813,1070,1402)
     (815,1071,1404)(818,1075,1409)(822,1081,1416)(823,1082,1418)(827,1088,
     1425)(829,1091,1428)(830,1092,1430)(833,1096,1435)(834,1097,1412)(836,
     1099,1439)(840,1105,1446)(841,1106,1448)(843,1108,1451)(846,1112,1456)
     (850,1118,1463)(852,1121,1467)(853,1122,1469)(855,1124,1472)(858,1128,
     1477)(862,1134,1484)(863,1135,1486)(867,1141,1493)(869,1144,1497)(870,
     1145,1499)(872,1147,1502)(875,1151,1507)(877,1154,1511)(880,1158,1516)
     (881,1159,1518)(883,1161,1521)(887,1167,1528)(888,1168,1530)(890,1170,
     1533)(897,1178,1541)(899,1181,1545)(900,1182,1547)(902,1184,1550)(905,
     1187,1554)(909,1191,1559)(912,1196,1565)(914,1199,1569)(915,1200,1571)
     (918,1204,1576)(919,1205,1578)(922,1209,1583)(926,1215,1590)(927,1216,
     1592)(931,1222,1599)(933,1225,1603)(934,1226,1605)(936,1228,1608)(940,
     1234,1615)(942,1237,1619)(943,1238,1621)(946,1242,1626)(947,1243,1628)
     (949,1245,1631)(953,1251,1638)(954,1252,1640)(956,1254,1643)(959,1258,
     1647)(963,1264,1653)(964,1265,1655)(968,1271,1662)(970,1274,1666)(971,
     1275,1668)(973,1277,1670)(977,1283,1677)(979,1286,1681)(980,1287,1683)
     (982,1289,1686)(983,1290,1688)(985,1292,1691)(989,1298,1698)(993,1301,
     1702)(997,1307,1709)(998,1308,1710)(1002,1314,1717)(1004,1317,1721)(1005,
     1318,1723)(1008,1322,1256)(1009,1323,1728)(1011,1325,1731)(1015,1330,
     1737)(1016,1331,1739)(1018,1333,1742)(1020,1335,1745)(1024,1341,1752)
     (1026,1344,1756)(1027,1345,1758)(1029,1347,1761)(1032,1351,1766)(1036,
     1357,1773)(1037,1358,1775)(1041,1364,1782)(1043,1367,1786)(1044,1368,
     1788)(1047,1372,1793)(1048,1373,1795)(1050,1375,1798)(1053,1379,1803)
     (1057,1384,1809)(1058,1385,1811)(1062,1391,1818)(1064,1394,1821)(1065,
     1395,1823)(1067,1397,1825)(1072,1405,1834)(1073,1406,1836)(1076,1410,
     1841)(1077,1411,1843)(1079,1413,1845)(1083,1419,1851)(1084,1420,1853)
     (1086,1422,1856)(1089,1426,1861)(1093,1431,1867)(1094,1432,1869)(1098,
     1437,1875)(1100,1440,1879)(1101,1441,1881)(1103,1443,1884)(1107,1449,
     1890)(1109,1452,1894)(1110,1453,1896)(1113,1457,1901)(1114,1458,1903)
     (1116,1460,1905)(1119,1464,1910)(1123,1470,1917)(1125,1473,1921)(1126,
     1474,1923)(1129,1478,1928)(1130,1479,1930)(1132,1481,1933)(1136,1487,
     1940)(1137,1488,1754)(1139,1490,1944)(1142,1494,1949)(1146,1500,1956)
     (1148,1503,1960)(1149,1504,1962)(1152,1508,1967)(1155,1512,1972)(1156,
     1513,1974)(1160,1519,1981)(1162,1522,1985)(1163,1523,1987)(1165,1525,
     1990)(1169,1531,1997)(1171,1534,2001)(1172,1535,2003)(1174,1537,2006)
     (1176,1539,2009)(1179,1542,2013)(1183,1548,2020)(1185,1551,2024)(1186,
     1552,2026)(1188,1555,2030)(1189,1556,2032)(1192,1560,2037)(1194,1562,
     2040)(1197,1566,2045)(1201,1572,2052)(1202,1573,2054)(1206,1579,2061)
     (1207,1580,2063)(1210,1584,2068)(1211,1585,2070)(1213,1587,2073)(1217,
     1593,2080)(1218,1594,2082)(1220,1596,1630)(1223,1600,2089)(1227,1606,
     2096)(1229,1609,2100)(1230,1610,2102)(1232,1612,2105)(1235,1616,2110)
     (1239,1622,2116)(1240,1623,2118)(1244,1629,2125)(1246,1632,2128)(1247,
     1633,2130)(1249,1635,2133)(1253,1641,2140)(1255,1644,2144)(1259,1648,
     2149)(1260,1649,2151)(1262,1651,2154)(1266,1656,1952)(1267,1657,2160)
     (1269,1659,2162)(1272,1663,2167)(1276,1669,2174)(1278,1671,2177)(1279,
     1672,2179)(1281,1674,2182)(1284,1678,2187)(1288,1684,2193)(1291,1689,
     2199)(1293,1692,2203)(1294,1693,2205)(1296,1695,2208)(1299,1699,2213)
     (1300,1700,2215)(1302,1703,2219)(1303,1704,2221)(1305,1706,2224)(1309,
     1711,2230)(1310,1712,2232)(1312,1714,2235)(1315,1718,2240)(1319,1724,
     2247)(1324,1729,2253)(1326,1732,2257)(1327,1733,2259)(1329,1735,2262)
     (1332,1740,2268)(1334,1743,1965)(1336,1746,2275)(1337,1747,2277)(1339,
     1749,2280)(1342,1753,2285)(1346,1759,2290)(1348,1762,2294)(1349,1763,
     2296)(1352,1767,2301)(1353,1768,2303)(1355,1770,2306)(1359,1776,2313)
     (1360,1777,2315)(1362,1779,2318)(1365,1783,2323)(1369,1789,2330)(1370,
     1790,2332)(1374,1796,2339)(1376,1799,2343)(1377,1800,2345)(1380,1804,
     2350)(1381,1805,2352)(1386,1812,1444)(1387,1813,2361)(1389,1815,2364)
     (1392,1819,2369)(1396,1824,2375)(1398,1826,2378)(1399,1827,2380)(1401,
     1829,2383)(1403,1831,2386)(1407,1837,2393)(1408,1838,2395)(1414,1846,
     2403)(1415,1847,2405)(1417,1849,2408)(1421,1854,2414)(1423,1857,2418)
     (1424,1858,2420)(1427,1862,2425)(1429,1864,2428)(1433,1870,2435)(1434,
     1871,2437)(1436,1873,2440)(1438,1876,2444)(1442,1882,2451)(1445,1885,
     2455)(1447,1887,2458)(1450,1891,2463)(1454,1897,2469)(1455,1898,2471)
     (1459,1874,2441)(1461,1906,2480)(1462,1907,2482)(1465,1911,2487)(1466,
     1912,2489)(1468,1914,2492)(1471,1918,2497)(1475,1924,2504)(1476,1925,
     2506)(1480,1931,2513)(1482,1934,2517)(1483,1935,2519)(1485,1937,2522)
     (1489,1942,2528)(1491,1945,2531)(1492,1946,2533)(1495,1950,2538)(1496,
     1951,2540)(1498,1953,2542)(1501,1957,2547)(1505,1963,2554)(1506,1964,
     2556)(1509,1968,2560)(1510,1969,2562)(1514,1975,2569)(1515,1976,2571)
     (1517,1978,2574)(1520,1982,2579)(1524,1988,2586)(1526,1991,2590)(1527,
     1992,2592)(1529,1994,2595)(1532,1998,2600)(1536,2004,2607)(1538,2007,
     2611)(1540,2010,2615)(1543,2014,2620)(1544,2015,2622)(1546,2017,2625)
     (1549,2021,2630)(1553,2027,2636)(1557,2033,2643)(1558,2034,2645)(1561,
     2038,2650)(1563,2041,2653)(1564,2042,2655)(1567,2046,2660)(1568,2047,
     2662)(1570,2049,2665)(1574,2055,2672)(1575,2056,2674)(1577,2058,2677)
     (1581,2064,2684)(1582,2065,2686)(1586,2071,2693)(1588,2074,2697)(1589,
     2075,2699)(1591,2077,2702)(1595,2083,2709)(1597,2085,2711)(1598,2086,
     2713)(1601,2090,2718)(1602,2091,2720)(1604,2093,2723)(1607,2097,2728)
     (1611,2103,2735)(1613,2106,2739)(1614,2107,2741)(1617,2111,2746)(1618,
     2112,2748)(1620,2114,2751)(1624,2119,2757)(1625,2120,2759)(1627,2122,
     2762)(1634,2131,2772)(1636,2134,2654)(1637,2135,2777)(1639,2137,2780)
     (1642,2141,2785)(1645,2145,2790)(1646,2146,2791)(1650,2152,2798)(1652,
     2155,2802)(1654,1913,2490)(1658,2161,2809)(1660,2163,2812)(1661,2164,
     2814)(1664,2168,2818)(1665,2169,2820)(1667,2171,2823)(1673,2180,2832)
     (1675,2183,2836)(1676,2184,2838)(1679,2188,2843)(1680,2189,2845)(1682,
     2191,2848)(1685,2194,2852)(1687,2196,2854)(1690,2200,2859)(1694,2206,
     2866)(1696,2209,2870)(1697,2210,2872)(1701,2216,2878)(1705,2222,2885)
     (1707,2225,2889)(1708,2226,2891)(1713,2233,2897)(1715,2236,2901)(1716,
     2237,2903)(1719,2241,2908)(1720,2242,2910)(1722,2244,2913)(1725,2248,
     2918)(1726,2249,2920)(1727,2250,2922)(1730,2254,2927)(1734,2260,2934)
     (1736,2263,2938)(1738,2265,2941)(1741,2269,2946)(1744,2272,2950)(1748,
     2278,2957)(1750,2281,2961)(1751,2282,2963)(1755,2286,2968)(1757,2287,
     2970)(1760,2291,2975)(1764,2297,2982)(1765,2298,2984)(1769,2304,2991)
     (1771,2307,2995)(1772,2308,2997)(1774,2310,3000)(1778,2316,3007)(1780,
     2319,3011)(1781,2320,3013)(1784,2324,3018)(1785,2325,3020)(1787,2327,
     3023)(1791,2333,3030)(1792,2334,3032)(1794,2336,3035)(1797,2340,3039)
     (1801,2346,3046)(1802,2347,3048)(1806,2353,3055)(1807,2354,3057)(1808,
     2355,3059)(1810,2357,3062)(1814,2362,3068)(1816,2365,3071)(1817,2366,
     3073)(1820,2370,3078)(1822,2372,3081)(1828,2381,3091)(1830,2384,3095)
     (1832,2387,3099)(1833,2388,3101)(1835,2390,3104)(1839,2396,3110)(1840,
     2397,3112)(1842,2399,3115)(1844,2401,3118)(1848,2406,3124)(1850,2409,
     3128)(1852,2411,3130)(1855,2415,3135)(1859,2421,3142)(1860,2422,3144)
     (1863,2426,3149)(1865,2429,3153)(1866,2430,3155)(1868,2432,3158)(1872,
     2438,3165)(1877,2445,3173)(1878,2446,3175)(1880,2448,3178)(1883,2452,
     3183)(1886,2456,3188)(1888,2459,3192)(1889,2460,3194)(1892,2464,3199)
     (1893,2465,3201)(1895,2467,3204)(1899,2472,3209)(1900,2473,3211)(1902,
     2475,3214)(1904,2477,3217)(1908,2483,3224)(1909,2484,3226)(1915,2493,
     3236)(1916,2494,3238)(1919,2498,3243)(1920,2499,3245)(1922,2501,3248)
     (1926,2507,3255)(1927,2508,3257)(1929,2510,3260)(1932,2514,3265)(1936,
     2520,3272)(1938,2523,3275)(1939,2524,3277)(1941,2526,3280)(1943,2529,
     3283)(1947,2534,3288)(1948,2535,3290)(1954,2543,3299)(1955,2544,3301)
     (1958,2548,3305)(1959,2549,3307)(1961,2551,3310)(1966,2557,3317)(1970,
     2563,3324)(1971,2564,3326)(1973,2566,3329)(1977,2572,3336)(1979,2575,
     3340)(1980,2576,3342)(1983,2580,3347)(1984,2581,3349)(1986,2583,3352)
     (1989,2587,3357)(1993,2593,3363)(1995,2596,3367)(1996,2597,3369)(1999,
     2601,3374)(2000,2602,3376)(2002,2604,3379)(2005,2608,3384)(2008,2612,
     3388)(2011,2616,3393)(2012,2617,3395)(2016,2623,3402)(2018,2626,3406)
     (2019,2627,3408)(2022,2631,3413)(2023,2632,3415)(2025,2417,3137)(2028,
     2637,3421)(2029,2638,3423)(2031,2640,3426)(2035,2646,3433)(2036,2647,
     3435)(2039,2651,3439)(2043,2656,3444)(2044,2657,3446)(2048,2663,3453)
     (2050,2666,3457)(2051,2667,3459)(2053,2669,3237)(2057,2675,3467)(2059,
     2678,3471)(2060,2679,3473)(2062,2681,3476)(2066,2687,3483)(2067,2688,
     3485)(2069,2690,3488)(2072,2694,3493)(2076,2700,3500)(2078,2703,3504)
     (2079,2704,3506)(2081,2706,3509)(2084,2710,3514)(2087,2714,3519)(2088,
     2715,3521)(2092,2721,3528)(2094,2724,3532)(2095,2725,3534)(2098,2729,
     3539)(2099,2730,3541)(2101,2732,3543)(2104,2736,3548)(2108,2742,3555)
     (2109,2743,3557)(2113,2749,3564)(2115,2752,3568)(2117,2754,3571)(2121,
     2760,3577)(2123,2763,3581)(2124,2764,3583)(2126,2766,3586)(2127,2767,
     3588)(2129,2769,3591)(2132,2773,3596)(2136,2778,3602)(2138,2781,3606)
     (2139,2782,3608)(2142,2786,3613)(2143,2787,3615)(2147,2792,3621)(2148,
     2793,3623)(2150,2795,3626)(2153,2799,3631)(2156,2803,3636)(2157,2804,
     3481)(2158,2805,3639)(2159,2806,3641)(2165,2815,3650)(2166,2816,3652)
     (2170,2821,3658)(2172,2824,3662)(2173,2825,3664)(2175,2826,3666)(2176,
     2827,3668)(2178,2829,3671)(2181,2833,3676)(2185,2839,3683)(2186,2840,
     3685)(2190,2846,3691)(2192,2849,3695)(2195,2853,3700)(2197,2855,3703)
     (2198,2856,3705)(2201,2860,3710)(2202,2861,3712)(2204,2863,3715)(2207,
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