a11 := (1,2)(3,5)(4,7)(6,10)(8,13)(9,15)(12,18)(14,21)(16,23)(17,25)(19,28)(20,
     30)(22,33)(24,36)(26,38)(27,40)(29,43)(31,45)(32,47)(34,50)(35,52)(37,55)
     (39,57)(41,59)(42,61)(44,64)(46,67)(48,69)(51,73)(53,75)(54,77)(56,80)
     (58,83)(60,86)(62,88)(63,90)(65,93)(66,95)(68,98)(70,101)(71,102)(72,104)
     (74,107)(76,110)(78,112)(79,114)(81,117)(82,118)(84,121)(85,123)(87,126)
     (89,129)(91,131)(92,133)(94,136)(96,138)(97,140)(99,143)(100,145)(103,
     149)(105,151)(106,153)(108,156)(109,158)(111,161)(113,164)(115,166)(116,
     168)(119,172)(120,174)(122,177)(124,179)(125,181)(127,184)(128,186)(130,
     189)(132,192)(134,194)(135,196)(137,199)(139,202)(141,204)(142,206)(144,
     209)(146,211)(147,213)(148,215)(150,218)(152,221)(154,223)(155,225)(157,
     228)(159,230)(160,232)(162,235)(163,237)(165,240)(167,243)(169,245)(170,
     247)(171,249)(173,252)(175,254)(176,256)(178,259)(180,262)(182,264)(183,
     266)(185,269)(187,271)(188,273)(190,276)(191,278)(193,281)(195,284)(197,
     286)(198,288)(200,291)(201,293)(203,296)(205,299)(207,301)(208,303)(210,
     306)(212,309)(214,311)(216,314)(217,316)(219,319)(220,321)(222,324)(224,
     327)(226,329)(227,331)(229,334)(231,337)(233,339)(234,341)(236,344)(238,
     346)(239,348)(241,351)(242,353)(244,356)(246,359)(248,361)(250,364)(251,
     366)(253,369)(255,372)(257,374)(258,376)(260,379)(261,381)(263,384)(265,
     387)(267,389)(268,391)(270,394)(272,397)(274,399)(275,401)(277,404)(279,
     406)(280,408)(282,411)(283,413)(285,416)(287,419)(289,421)(290,423)(292,
     426)(294,428)(295,430)(297,433)(298,435)(300,438)(302,441)(304,443)(305,
     445)(307,448)(308,450)(310,453)(312,456)(313,457)(315,460)(317,462)(318,
     464)(320,467)(322,469)(323,471)(325,474)(326,476)(328,479)(330,482)(332,
     484)(333,486)(335,489)(336,491)(338,494)(340,497)(342,499)(343,501)(345,
     504)(347,507)(349,509)(350,511)(352,514)(354,516)(355,518)(357,521)(358,
     523)(360,526)(362,529)(363,530)(365,533)(367,535)(368,537)(370,539)(371,
     541)(373,544)(375,547)(377,549)(378,551)(380,554)(382,556)(383,558)(385,
     561)(386,563)(388,566)(390,569)(392,571)(393,573)(395,576)(396,578)(398,
     581)(400,584)(402,586)(403,588)(405,591)(407,594)(409,596)(410,598)(412,
     601)(414,603)(415,605)(417,608)(418,610)(420,613)(422,616)(424,618)(425,
     620)(427,623)(429,626)(431,628)(432,630)(434,633)(436,635)(437,637)(439,
     640)(440,642)(442,645)(444,648)(446,650)(447,652)(449,655)(451,657)(452,
     659)(454,662)(455,664)(458,667)(459,669)(461,672)(463,675)(465,677)(466,
     679)(468,682)(470,685)(472,687)(473,689)(475,692)(477,694)(478,696)(480,
     699)(481,701)(483,704)(485,707)(487,709)(488,711)(490,714)(492,716)(493,
     718)(495,721)(496,723)(498,726)(500,729)(502,731)(503,733)(505,736)(506,
     738)(508,741)(510,744)(512,746)(513,748)(515,751)(517,754)(519,756)(520,
     758)(522,761)(524,763)(525,765)(527,768)(528,770)(531,774)(532,776)(534,
     779)(536,782)(538,784)(540,786)(542,788)(543,790)(545,793)(546,795)(548,
     798)(550,801)(552,803)(553,805)(555,808)(557,811)(559,813)(560,815)(562,
     818)(564,820)(565,822)(567,825)(568,827)(570,830)(572,833)(574,835)(575,
     837)(577,840)(579,842)(580,844)(582,847)(583,849)(585,852)(587,855)(589,
     857)(590,859)(592,862)(593,864)(595,867)(597,870)(599,872)(600,874)(602,
     877)(604,880)(606,882)(607,884)(609,887)(611,889)(612,891)(614,894)(615,
     896)(617,899)(619,902)(621,904)(622,906)(624,909)(625,911)(627,914)(629,
     917)(631,919)(632,921)(634,924)(636,927)(638,929)(639,931)(641,934)(643,
     936)(644,938)(646,941)(647,943)(649,946)(651,949)(653,951)(654,953)(656,
     956)(658,959)(660,961)(661,963)(663,966)(665,968)(666,970)(668,973)(670,
     975)(673,979)(674,981)(676,984)(678,987)(680,989)(681,991)(683,994)(684,
     996)(686,999)(688,1002)(690,1004)(691,1006)(693,1009)(695,1012)(697,1014)
     (698,1016)(700,1019)(702,1021)(703,1023)(705,1026)(706,1028)(708,1031)
     (710,1034)(712,1036)(713,1038)(715,1041)(717,1044)(719,1046)(720,1048)
     (722,1051)(724,1053)(725,1055)(727,1058)(728,1060)(730,1063)(732,1066)
     (734,1068)(735,1070)(737,1073)(739,1075)(740,1077)(742,1080)(743,1082)
     (745,1085)(747,1088)(749,1090)(750,1092)(752,1095)(753,1097)(755,1100)
     (757,1103)(759,1105)(760,1107)(764,1112)(766,1114)(767,1116)(769,1119)
     (771,1121)(772,1123)(773,1125)(775,1128)(777,1130)(778,1132)(780,1135)
     (781,1137)(783,1140)(785,1143)(787,1146)(789,1149)(791,1151)(792,1153)
     (794,1156)(796,1158)(797,1160)(799,1163)(800,1165)(802,1168)(804,1171)
     (806,1173)(807,1175)(809,1178)(810,1180)(812,1183)(814,1186)(816,1188)
     (817,1190)(819,1193)(821,1196)(823,1198)(824,1200)(826,1203)(828,1205)
     (829,1207)(831,1210)(832,1212)(834,1215)(836,1218)(838,1220)(839,1222)
     (841,1225)(843,1228)(845,1230)(846,1232)(848,1235)(850,1237)(851,1239)
     (853,1242)(854,1244)(856,1247)(858,1249)(860,1251)(861,1253)(863,1256)
     (865,1258)(866,1260)(868,1263)(869,1265)(871,1268)(873,1271)(875,1273)
     (876,1275)(878,1278)(879,1280)(881,1283)(883,1286)(885,1288)(886,1290)
     (888,1293)(890,1296)(892,1298)(893,1300)(895,1303)(897,1305)(898,1307)
     (900,1310)(901,1312)(903,1315)(905,1318)(907,1320)(908,1322)(910,1325)
     (912,1327)(913,1329)(915,1332)(916,1334)(918,1337)(920,1340)(922,1342)
     (923,1344)(925,1347)(926,1349)(928,1352)(930,1355)(932,1357)(933,1359)
     (935,1362)(937,1365)(939,1367)(940,1369)(942,1372)(944,1374)(945,1376)
     (947,1379)(948,1381)(950,1384)(952,1387)(954,1389)(955,1391)(957,1394)
     (958,1396)(960,1399)(962,1402)(964,1404)(965,1406)(967,1409)(969,1412)
     (971,1414)(972,1415)(974,1418)(976,1421)(977,1422)(978,1424)(980,1427)
     (982,1429)(983,1431)(985,1433)(986,1435)(988,1438)(990,1441)(992,1443)
     (993,1445)(995,1448)(997,1450)(998,1452)(1000,1455)(1001,1457)(1003,1460)
     (1005,1463)(1007,1465)(1008,1467)(1010,1470)(1011,1472)(1013,1475)(1015,
     1478)(1017,1480)(1018,1482)(1020,1485)(1022,1488)(1024,1490)(1025,1492)
     (1027,1495)(1029,1497)(1030,1499)(1032,1502)(1033,1504)(1035,1507)(1037,
     1510)(1039,1512)(1040,1514)(1042,1517)(1043,1519)(1045,1522)(1047,1525)
     (1049,1527)(1050,1529)(1052,1532)(1054,1535)(1056,1537)(1057,1539)(1059,
     1542)(1061,1544)(1062,1546)(1064,1549)(1065,1551)(1067,1554)(1069,1557)
     (1071,1559)(1072,1561)(1074,1564)(1076,1567)(1078,1569)(1079,1571)(1081,
     1574)(1083,1576)(1084,1578)(1086,1579)(1087,1581)(1089,1584)(1091,1587)
     (1093,1588)(1094,1590)(1096,1593)(1098,1595)(1099,1597)(1101,1600)(1102,
     1602)(1104,1605)(1106,1608)(1108,1610)(1109,1612)(1110,1614)(1111,1616)
     (1113,1619)(1115,1622)(1117,1624)(1118,1626)(1120,1629)(1122,1632)(1124,
     1634)(1126,1637)(1127,1639)(1129,1642)(1131,1645)(1133,1647)(1134,1649)
     (1136,1652)(1138,1654)(1139,1656)(1141,1659)(1142,1661)(1144,1664)(1145,
     1666)(1147,1669)(1148,1671)(1150,1674)(1152,1677)(1154,1679)(1155,1681)
     (1157,1684)(1159,1687)(1161,1689)(1162,1691)(1164,1694)(1166,1696)(1167,
     1698)(1169,1701)(1170,1703)(1172,1706)(1174,1709)(1176,1711)(1177,1713)
     (1179,1716)(1181,1718)(1182,1720)(1184,1723)(1185,1725)(1187,1728)(1189,
     1731)(1191,1733)(1192,1735)(1194,1738)(1195,1740)(1197,1743)(1199,1746)
     (1201,1748)(1202,1750)(1204,1753)(1206,1755)(1208,1757)(1209,1759)(1211,
     1762)(1213,1764)(1214,1766)(1216,1769)(1217,1771)(1219,1774)(1221,1776)
     (1223,1778)(1224,1780)(1226,1783)(1227,1785)(1229,1787)(1231,1790)(1233,
     1792)(1234,1794)(1236,1797)(1238,1800)(1240,1802)(1241,1804)(1243,1807)
     (1245,1809)(1246,1811)(1248,1814)(1250,1817)(1252,1820)(1254,1822)(1255,
     1824)(1257,1827)(1259,1830)(1261,1832)(1262,1834)(1264,1837)(1266,1839)
     (1267,1841)(1269,1843)(1270,1845)(1272,1848)(1274,1851)(1276,1853)(1277,
     1855)(1279,1858)(1281,1860)(1282,1862)(1284,1865)(1285,1867)(1287,1870)
     (1289,1873)(1291,1875)(1292,1877)(1294,1880)(1295,1882)(1297,1885)(1299,
     1888)(1301,1890)(1302,1892)(1304,1895)(1306,1898)(1308,1900)(1309,1902)
     (1311,1905)(1313,1907)(1314,1909)(1316,1912)(1317,1914)(1319,1917)(1321,
     1920)(1323,1922)(1324,1924)(1326,1927)(1328,1930)(1330,1932)(1331,1934)
     (1333,1937)(1335,1861)(1336,1940)(1338,1943)(1339,1945)(1341,1948)(1343,
     1951)(1345,1953)(1346,1955)(1348,1958)(1350,1960)(1351,1962)(1353,1965)
     (1354,1967)(1356,1969)(1358,1972)(1360,1974)(1361,1976)(1363,1979)(1364,
     1981)(1366,1984)(1368,1987)(1370,1989)(1371,1991)(1373,1994)(1375,1997)
     (1377,1999)(1378,2001)(1382,2005)(1383,2007)(1385,2010)(1386,2012)(1388,
     2015)(1390,2018)(1392,2020)(1393,2022)(1395,2025)(1397,2027)(1398,2029)
     (1400,2032)(1401,2034)(1403,2037)(1405,2040)(1407,2042)(1408,2044)(1410,
     2047)(1411,2049)(1413,2052)(1416,2056)(1417,2058)(1419,2061)(1420,2063)
     (1423,2067)(1425,2069)(1426,2071)(1428,2074)(1430,2077)(1432,2079)(1434,
     2082)(1436,2084)(1437,2086)(1439,2089)(1440,2091)(1442,2094)(1444,2097)
     (1446,2099)(1447,2101)(1449,2104)(1451,2107)(1453,2109)(1454,2111)(1456,
     2114)(1458,2116)(1459,2118)(1461,2121)(1462,2123)(1464,2126)(1466,2129)
     (1468,2131)(1469,2133)(1471,2136)(1473,2138)(1474,2140)(1476,2142)(1477,
     2144)(1479,2147)(1481,2150)(1483,1503)(1484,2153)(1486,2156)(1487,2158)
     (1489,2161)(1491,2164)(1493,2166)(1494,2168)(1496,2171)(1498,2174)(1500,
     2176)(1501,2178)(1505,2182)(1506,2184)(1508,2187)(1509,2189)(1511,2192)
     (1513,2195)(1515,2197)(1516,2199)(1518,2202)(1520,2204)(1521,2206)(1523,
     2209)(1524,2211)(1526,2214)(1528,2216)(1530,2218)(1531,2220)(1533,2223)
     (1534,2225)(1536,2228)(1538,2231)(1540,2233)(1541,2235)(1543,2238)(1545,
     2241)(1547,2243)(1548,2245)(1550,2248)(1552,2250)(1553,2252)(1555,2255)
     (1556,2257)(1558,2260)(1560,2263)(1562,2265)(1563,2267)(1565,2270)(1566,
     2272)(1568,2275)(1570,2278)(1572,2280)(1573,2282)(1575,2285)(1577,2288)
     (1580,2291)(1582,2293)(1583,2295)(1585,2298)(1586,2300)(1589,2304)(1591,
     2306)(1592,2308)(1594,2311)(1596,2314)(1598,2316)(1599,2318)(1601,2321)
     (1603,2323)(1604,2325)(1606,2328)(1607,2330)(1609,2333)(1611,2336)(1613,
     2338)(1615,2341)(1617,2343)(1618,2345)(1620,2348)(1621,2350)(1623,2353)
     (1625,2356)(1627,2358)(1628,2360)(1630,2363)(1631,2365)(1633,2368)(1635,
     1636)(1638,2373)(1640,2375)(1641,2377)(1643,2380)(1644,2382)(1646,2385)
     (1648,2388)(1650,2390)(1651,2392)(1653,2395)(1655,2398)(1657,2400)(1658,
     2402)(1660,2404)(1662,2406)(1663,2408)(1665,2411)(1667,2413)(1668,2415)
     (1670,2418)(1672,2420)(1673,2422)(1675,2425)(1676,2427)(1678,2430)(1680,
     2433)(1682,2435)(1683,2437)(1685,2440)(1686,2442)(1688,2445)(1690,2448)
     (1692,2450)(1693,2452)(1695,2455)(1697,2458)(1699,2460)(1700,2462)(1702,
     2465)(1704,2467)(1705,2469)(1707,2472)(1708,2474)(1710,2477)(1712,2480)
     (1714,2482)(1715,2484)(1717,2487)(1719,2490)(1722,2493)(1724,2496)(1726,
     2498)(1727,2500)(1729,2503)(1730,2505)(1732,2508)(1734,2511)(1736,2513)
     (1737,2515)(1739,2518)(1741,2520)(1742,2522)(1744,2525)(1745,2527)(1747,
     2530)(1749,2533)(1751,2535)(1752,2537)(1754,2540)(1756,2543)(1758,2546)
     (1760,2548)(1761,2550)(1763,2553)(1765,2556)(1767,2558)(1768,2560)(1770,
     2563)(1772,2565)(1773,2567)(1775,2570)(1777,2573)(1779,2576)(1781,2578)
     (1782,2580)(1784,2583)(1786,2585)(1788,2588)(1789,2589)(1791,2592)(1793,
     2595)(1795,2597)(1796,2599)(1798,2602)(1799,2604)(1801,2607)(1803,2610)
     (1805,2612)(1806,2614)(1808,2617)(1810,2620)(1812,2622)(1813,2624)(1815,
     2627)(1816,2629)(1818,2632)(1819,2634)(1821,2637)(1823,2640)(1825,2642)
     (1826,2644)(1828,2647)(1829,2649)(1831,2652)(1833,2655)(1835,2657)(1836,
     2659)(1838,2662)(1840,2665)(1842,2667)(1844,2669)(1846,2671)(1847,2673)
     (1849,2676)(1850,2678)(1852,2681)(1854,2684)(1856,2686)(1857,2688)(1859,
     2691)(1863,2695)(1864,2697)(1866,2700)(1868,2702)(1869,2704)(1871,2707)
     (1872,2709)(1874,2712)(1876,2715)(1878,2717)(1879,2719)(1881,2722)(1883,
     2724)(1884,2725)(1886,2728)(1887,2730)(1889,2733)(1891,2736)(1893,2738)
     (1894,2740)(1896,2742)(1897,2744)(1899,2747)(1901,2750)(1903,2752)(1904,
     2754)(1906,2757)(1908,2760)(1910,2762)(1911,2764)(1913,2767)(1915,2769)
     (1916,2771)(1918,2774)(1919,2776)(1921,2779)(1923,2782)(1925,2784)(1926,
     2786)(1928,2789)(1929,2791)(1931,2794)(1933,2797)(1935,2799)(1936,2801)
     (1938,2804)(1939,2806)(1941,2808)(1942,2810)(1944,2813)(1946,2453)(1947,
     2816)(1949,2819)(1950,2821)(1952,2824)(1954,2827)(1956,2829)(1957,2831)
     (1959,2834)(1961,2837)(1963,2839)(1964,2841)(1966,2844)(1968,2846)(1970,
     2848)(1971,2850)(1973,2853)(1975,2856)(1977,2858)(1978,2860)(1980,2863)
     (1982,2865)(1983,2867)(1985,2870)(1986,2872)(1988,2875)(1990,2878)(1992,
     2880)(1993,2882)(1995,2885)(1996,2887)(1998,2890)(2000,2893)(2002,2895)
     (2003,2897)(2004,2899)(2006,2902)(2008,2904)(2009,2906)(2011,2909)(2013,
     2911)(2014,2913)(2016,2916)(2017,2918)(2019,2921)(2021,2924)(2023,2926)
     (2024,2928)(2026,2931)(2028,2934)(2030,2936)(2031,2938)(2033,2941)(2035,
     2943)(2036,2945)(2038,2948)(2039,2950)(2041,2953)(2043,2956)(2045,2958)
     (2046,2960)(2048,2963)(2050,2965)(2051,2967)(2053,2970)(2054,2972)(2055,
     2974)(2057,2977)(2059,2979)(2060,2981)(2062,2984)(2064,2986)(2065,2988)
     (2066,2990)(2068,2993)(2070,2996)(2072,2998)(2073,3000)(2075,3003)(2076,
     3005)(2078,3008)(2080,3011)(2081,3013)(2083,3016)(2085,3019)(2087,3021)
     (2088,3023)(2090,3026)(2092,3028)(2093,3030)(2095,3033)(2096,3035)(2098,
     3038)(2100,3041)(2102,3043)(2103,3045)(2105,3048)(2106,3050)(2108,3053)
     (2110,3056)(2112,3058)(2113,3060)(2115,3062)(2117,3065)(2119,3067)(2120,
     3069)(2122,3072)(2124,3074)(2125,3076)(2127,3079)(2128,3081)(2130,3084)
     (2132,3087)(2134,3089)(2135,3091)(2137,3094)(2139,3097)(2141,3099)(2143,
     3102)(2145,3104)(2146,3106)(2148,3108)(2149,3110)(2151,3113)(2152,3115)
     (2154,3117)(2155,3119)(2157,3122)(2159,3123)(2160,3125)(2162,3128)(2163,
     3130)(2165,3133)(2167,3136)(2169,3138)(2170,3140)(2172,3143)(2173,3144)
     (2175,3147)(2177,3150)(2179,3152)(2180,3154)(2181,3156)(2183,3159)(2185,
     3161)(2186,3163)(2188,3166)(2190,3168)(2191,3170)(2193,3173)(2194,3175)
     (2196,3178)(2198,3181)(2200,3183)(2201,3185)(2203,3188)(2205,3191)(2207,
     3193)(2208,3195)(2210,3198)(2212,3200)(2213,3202)(2215,3205)(2217,3208)
     (2219,3211)(2221,3213)(2222,3215)(2224,3218)(2226,3220)(2227,3222)(2229,
     3225)(2230,3227)(2232,3230)(2234,3233)(2236,3235)(2237,3237)(2239,3240)
     (2240,3242)(2242,3245)(2244,3248)(2246,3250)(2247,3252)(2249,3255)(2251,
     3258)(2253,3260)(2254,3262)(2256,3265)(2258,3267)(2259,3269)(2261,3271)
     (2262,3273)(2264,3276)(2266,3279)(2268,3281)(2269,3283)(2271,3286)(2273,
     3194)(2274,3289)(2276,3292)(2277,3294)(2279,3297)(2281,3300)(2283,3302)
     (2284,3304)(2286,3307)(2287,3309)(2289,3312)(2290,3314)(2292,3317)(2294,
     3320)(2296,3322)(2297,3324)(2299,3327)(2301,3329)(2302,3331)(2303,3333)
     (2305,3336)(2307,3339)(2309,3341)(2310,3343)(2312,3346)(2313,3348)(2315,
     3351)(2317,3354)(2319,3356)(2320,3358)(2322,3361)(2324,3364)(2326,3366)
     (2327,3368)(2329,3371)(2331,3373)(2332,3375)(2334,3378)(2335,3380)(2337,
     3383)(2339,3386)(2340,3387)(2342,3389)(2344,3392)(2346,3394)(2347,3396)
     (2349,3399)(2351,3401)(2352,3403)(2354,3406)(2355,3408)(2357,3411)(2359,
     3414)(2361,3416)(2362,3418)(2364,3421)(2366,3423)(2367,3425)(2369,3428)
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     122710)(122286,122494)(122287,122684)(122288,122603)(122289,
     122705)(122305,122337)(122306,122403)(122310,122407)(122313,
     122417)(122315,122696)(122322,122434)(122328,122578)(122339,
     122442)(122344,122716)(122347,122607)(122352,122669)(122355,
     122658)(122357,122623)(122366,122593)(122371,122420)(122372,
     122721)(122374,122706)(122387,122566)(122391,122641)(122392,
     122708)(122398,122596)(122400,122430)(122402,122711)(122405,
     122656)(122406,122679)(122416,122577)(122423,122559)(122428,
     122670)(122432,122606)(122433,122460)(122436,122616)(122437,
     122726)(122451,122555)(122461,122529)(122470,122642)(122479,
     122484)(122482,122622)(122483,122732)(122490,122733)(122491,
     122680)(122495,122734)(122503,122735)(122508,122687)(122512,
     122651)(122513,122691)(122521,122655)(122523,122719)(122530,
     122667)(122533,122675)(122536,122737)(122538,122738)(122540,
     122589)(122544,122701)(122552,122614)(122561,122580)(122564,
     122660)(122568,122715)(122570,122725)(122571,122664)(122573,
     122743)(122582,122649)(122583,122745)(122600,122632)(122605,
     122654)(122610,122746)(122611,122663)(122619,122740)(122625,
     122712)(122633,122702)(122635,122717)(122637,122672)(122639,
     122739)(122647,122751)(122652,122749)(122661,122709)(122668,
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     122694)(122695,122722)(122713,122720)(122714,122742)(122718,
     122724)(122727,122750)(122728,122758)(122729,122754)(122730,
     122759)(122731,122744)(122741,122756)(122747,122748)(122757,
     122760);