z1 := (1,3,5)(2,4,6)(7,11,15)(8,12,16)(9,13,17)(10,14,18)(19,27,35)(20,28,36)
     (21,29,37)(22,30,38)(23,31,39)(24,32,40)(25,33,41)(26,34,42)(43,59,75)
     (44,60,76)(45,61,77)(46,62,78)(47,63,79)(48,64,80)(49,65,81)(50,66,82)
     (51,67,83)(52,68,84)(53,69,85)(54,70,86)(55,71,87)(56,72,88)(57,73,89)
     (58,74,90)(91,121,151)(92,122,152)(93,123,153)(94,124,154)(95,125,155)
     (96,126,156)(97,127,157)(98,128,158)(99,129,159)(100,130,160)(101,131,
     161)(102,132,162)(103,133,163)(104,134,164)(105,135,165)(106,136,166)
     (107,137,167)(108,138,168)(109,139,169)(110,140,170)(111,141,171)(112,
     142,172)(113,143,173)(114,144,174)(115,145,175)(116,146,176)(117,147,177)
     (118,148,178)(119,149,179)(120,150,180)(181,237,291)(182,238,292)(183,
     239,293)(184,240,294)(185,241,295)(186,242,296)(187,243,297)(188,244,298)
     (189,245,299)(190,246,300)(191,247,301)(192,248,302)(193,249,303)(194,
     250,304)(195,251,305)(196,252,306)(197,253,307)(198,254,308)(199,255,217)
     (200,256,218)(201,257,309)(202,258,310)(203,259,311)(204,260,312)(205,
     261,313)(206,262,314)(207,263,315)(208,264,316)(209,265,317)(210,266,318)
     (211,267,319)(212,268,320)(213,269,321)(214,270,322)(215,271,323)(216,
     272,324)(219,273,325)(220,274,326)(221,275,327)(222,276,328)(223,277,329)
     (224,278,330)(225,279,331)(226,280,332)(227,281,333)(228,282,334)(229,
     283,335)(230,284,336)(231,285,337)(232,286,338)(233,287,339)(234,288,340)
     (235,289,341)(236,290,342)(343,445,544)(344,446,545)(345,447,546)(346,
     448,547)(347,449,548)(348,450,549)(349,451,550)(350,452,551)(351,453,552)
     (352,454,553)(353,455,554)(354,456,555)(355,457,556)(356,458,557)(357,
     459,558)(358,460,559)(359,461,560)(360,462,561)(361,463,562)(362,464,563)
     (363,465,564)(364,466,565)(365,467,566)(366,468,567)(367,469,568)(368,
     470,569)(369,471,570)(370,472,571)(371,473,572)(372,474,573)(373,475,574)
     (374,476,575)(375,477,576)(376,478,577)(377,479,408)(378,480,409)(379,
     481,410)(380,482,578)(381,483,579)(382,484,580)(383,485,581)(384,486,582)
     (385,487,583)(386,488,584)(387,489,585)(388,490,586)(389,491,587)(390,
     492,588)(391,493,589)(392,494,590)(393,495,591)(394,496,592)(395,497,593)
     (396,498,594)(397,499,595)(398,500,596)(399,501,597)(400,502,598)(401,
     503,599)(402,504,600)(403,505,601)(404,506,602)(405,507,603)(406,508,604)
     (407,509,605)(411,510,606)(412,511,607)(413,512,608)(414,513,609)(415,
     514,610)(416,515,611)(417,516,612)(418,517,613)(419,518,614)(420,519,615)
     (421,520,616)(422,521,617)(423,522,618)(424,523,619)(425,524,620)(426,
     525,621)(427,526,622)(428,527,623)(429,528,624)(430,529,625)(431,530,626)
     (432,531,627)(433,532,628)(434,533,629)(435,534,630)(436,535,631)(437,
     536,632)(438,537,633)(439,538,634)(440,539,635)(441,540,636)(442,541,637)
     (443,542,638)(444,543,639)(640,834,1020)(641,835,1021)(642,836,1022)(643,
     837,1023)(644,838,1024)(645,839,1025)(646,840,1026)(647,841,1027)(648,
     842,1028)(649,843,1029)(650,844,1030)(651,845,1031)(652,846,1032)(653,
     847,1033)(654,848,1034)(655,849,1035)(656,850,1036)(657,851,1037)(658,
     852,1038)(659,853,1039)(660,854,1040)(661,855,1041)(662,856,1042)(663,
     857,1043)(664,858,1044)(665,859,1045)(666,860,1046)(667,861,1047)(668,
     862,1048)(669,863,1049)(670,864,1050)(671,865,1051)(672,866,1052)(673,
     867,1053)(674,868,1054)(675,869,1055)(676,870,1056)(677,871,1057)(678,
     872,1058)(679,873,1059)(680,874,1060)(681,875,1061)(682,876,1062)(683,
     877,1063)(684,878,1064)(685,879,1065)(686,880,1066)(687,881,1067)(688,
     882,1068)(689,883,1069)(690,884,1070)(691,885,1071)(692,886,1072)(693,
     887,1073)(694,888,1074)(695,889,1075)(696,890,1076)(697,891,1077)(698,
     892,1078)(699,893,1079)(700,894,1080)(701,895,1081)(702,896,1082)(703,
     897,1083)(704,898,764)(705,899,765)(706,900,766)(707,901,767)(708,902,
     768)(709,903,769)(710,904,770)(711,905,771)(712,906,1084)(713,907,1085)
     (714,908,1086)(715,909,1087)(716,910,1088)(717,911,1089)(718,912,1090)
     (719,913,1091)(720,914,1092)(721,915,1093)(722,916,1094)(723,917,1095)
     (724,918,1096)(725,919,1097)(726,920,1098)(727,921,1099)(728,922,1100)
     (729,923,1101)(730,924,1102)(731,925,1103)(732,926,1104)(733,927,1105)
     (734,928,1106)(735,929,1107)(736,930,1108)(737,931,1109)(738,932,1110)
     (739,933,1111)(740,934,1112)(741,935,1113)(742,936,1114)(743,937,1115)
     (744,938,1116)(745,939,1117)(746,940,1118)(747,941,1119)(748,942,1120)
     (749,943,1121)(750,944,1122)(751,945,1123)(752,946,1124)(753,947,1125)
     (754,948,1126)(755,949,1127)(756,950,1128)(757,951,1129)(758,952,1130)
     (759,953,1131)(760,954,1132)(761,955,1133)(762,956,1134)(763,957,1135)
     (772,958,1136)(773,959,1137)(774,960,1138)(775,961,1139)(776,962,1140)
     (777,963,1141)(778,964,1142)(779,965,1143)(780,966,1144)(781,967,1145)
     (782,968,1146)(783,969,1147)(784,970,1148)(785,971,1149)(786,972,1150)
     (787,973,1151)(788,974,1152)(789,975,1153)(790,976,1154)(791,977,1155)
     (792,978,1156)(793,979,1157)(794,980,1158)(795,981,1159)(796,982,1160)
     (797,983,1161)(798,984,1162)(799,985,1163)(800,986,1164)(801,987,1165)
     (802,988,1166)(803,989,1167)(804,990,1168)(805,991,1169)(806,992,1170)
     (807,993,1171)(808,994,1172)(809,995,1173)(810,996,1174)(811,997,1175)
     (812,998,1176)(813,999,1177)(814,1000,1178)(815,1001,1179)(816,1002,1180)
     (817,1003,1181)(818,1004,1182)(819,1005,1183)(820,1006,1184)(821,1007,
     1185)(822,1008,1186)(823,1009,1187)(824,1010,1188)(825,1011,1189)(826,
     1012,1190)(827,1013,1191)(828,1014,1192)(829,1015,1193)(830,1016,1194)
     (831,1017,1195)(832,1018,1196)(833,1019,1197)(1198,1549,1886)(1199,1550,
     1887)(1200,1551,1888)(1201,1552,1889)(1202,1553,1890)(1203,1554,1891)
     (1204,1555,1892)(1205,1556,1893)(1206,1557,1894)(1207,1558,1895)(1208,
     1559,1896)(1209,1560,1897)(1210,1561,1898)(1211,1562,1899)(1212,1563,
     1900)(1213,1564,1901)(1214,1565,1902)(1215,1566,1903)(1216,1567,1904)
     (1217,1568,1905)(1218,1569,1906)(1219,1570,1907)(1220,1571,1908)(1221,
     1572,1909)(1222,1573,1910)(1223,1574,1911)(1224,1575,1912)(1225,1576,
     1913)(1226,1577,1914)(1227,1578,1915)(1228,1579,1916)(1229,1580,1917)
     (1230,1581,1918)(1231,1582,1919)(1232,1583,1920)(1233,1584,1921)(1234,
     1585,1922)(1235,1586,1923)(1236,1587,1924)(1237,1588,1925)(1238,1589,
     1926)(1239,1590,1927)(1240,1591,1928)(1241,1592,1929)(1242,1593,1930)
     (1243,1594,1931)(1244,1595,1932)(1245,1596,1933)(1246,1597,1934)(1247,
     1598,1935)(1248,1599,1936)(1249,1600,1937)(1250,1601,1938)(1251,1602,
     1939)(1252,1603,1940)(1253,1604,1941)(1254,1605,1942)(1255,1606,1943)
     (1256,1607,1944)(1257,1608,1945)(1258,1609,1946)(1259,1610,1947)(1260,
     1611,1948)(1261,1612,1949)(1262,1613,1950)(1263,1614,1951)(1264,1615,
     1952)(1265,1616,1953)(1266,1617,1954)(1267,1618,1955)(1268,1619,1956)
     (1269,1620,1957)(1270,1621,1958)(1271,1622,1959)(1272,1623,1960)(1273,
     1624,1961)(1274,1625,1962)(1275,1626,1963)(1276,1627,1964)(1277,1628,
     1965)(1278,1629,1966)(1279,1630,1967)(1280,1631,1968)(1281,1632,1969)
     (1282,1633,1970)(1283,1634,1971)(1284,1635,1972)(1285,1636,1973)(1286,
     1637,1974)(1287,1638,1975)(1288,1639,1976)(1289,1640,1977)(1290,1641,
     1978)(1291,1642,1979)(1292,1643,1980)(1293,1644,1981)(1294,1645,1982)
     (1295,1646,1983)(1296,1647,1984)(1297,1648,1985)(1298,1649,1986)(1299,
     1650,1987)(1300,1651,1988)(1301,1652,1989)(1302,1653,1990)(1303,1654,
     1991)(1304,1655,1992)(1305,1656,1993)(1306,1657,1994)(1307,1658,1995)
     (1308,1659,1996)(1309,1660,1997)(1310,1661,1998)(1311,1662,1999)(1312,
     1663,2000)(1313,1664,2001)(1314,1665,2002)(1315,1666,2003)(1316,1667,
     2004)(1317,1668,2005)(1318,1669,2006)(1319,1670,2007)(1320,1671,1425)
     (1321,1672,1426)(1322,1673,1427)(1323,1674,1428)(1324,1675,1429)(1325,
     1676,1430)(1326,1677,1431)(1327,1678,1432)(1328,1679,1433)(1329,1680,
     1434)(1330,1681,1435)(1331,1682,1436)(1332,1683,1437)(1333,1684,2008)
     (1334,1685,2009)(1335,1686,2010)(1336,1687,2011)(1337,1688,2012)(1338,
     1689,2013)(1339,1690,2014)(1340,1691,2015)(1341,1692,2016)(1342,1693,
     2017)(1343,1694,2018)(1344,1695,2019)(1345,1696,2020)(1346,1697,2021)
     (1347,1698,2022)(1348,1699,2023)(1349,1700,2024)(1350,1701,2025)(1351,
     1702,2026)(1352,1703,2027)(1353,1704,2028)(1354,1705,2029)(1355,1706,
     2030)(1356,1707,2031)(1357,1708,2032)(1358,1709,2033)(1359,1710,2034)
     (1360,1711,2035)(1361,1712,2036)(1362,1713,2037)(1363,1714,2038)(1364,
     1715,2039)(1365,1716,2040)(1366,1717,2041)(1367,1718,2042)(1368,1719,
     2043)(1369,1720,2044)(1370,1721,2045)(1371,1722,2046)(1372,1723,2047)
     (1373,1724,2048)(1374,1725,2049)(1375,1726,2050)(1376,1727,2051)(1377,
     1728,2052)(1378,1729,2053)(1379,1730,2054)(1380,1731,2055)(1381,1732,
     2056)(1382,1733,2057)(1383,1734,2058)(1384,1497,1834)(1385,1735,2059)
     (1386,1736,2060)(1387,1737,2061)(1388,1738,2062)(1389,1739,2063)(1390,
     1740,2064)(1391,1741,2065)(1392,1742,2066)(1393,1743,2067)(1394,1744,
     2068)(1395,1745,2069)(1396,1746,2070)(1397,1747,2071)(1398,1748,2072)
     (1399,1749,2073)(1400,1750,2074)(1401,1751,2075)(1402,1752,2076)(1403,
     1753,2077)(1404,1754,2078)(1405,1755,2079)(1406,1756,2080)(1407,1757,
     2081)(1408,1758,2082)(1409,1759,2083)(1410,1760,2084)(1411,1761,2085)
     (1412,1762,2086)(1413,1763,2087)(1414,1764,2088)(1415,1765,2089)(1416,
     1766,2090)(1417,1767,2091)(1418,1768,2092)(1419,1769,2093)(1420,1770,
     2094)(1421,1771,2095)(1422,1772,2096)(1423,1773,2097)(1424,1774,2098)
     (1438,1775,2099)(1439,1776,2100)(1440,1777,2101)(1441,1778,2102)(1442,
     1779,2103)(1443,1780,2104)(1444,1781,2105)(1445,1782,2106)(1446,1783,
     2107)(1447,1784,2108)(1448,1785,2109)(1449,1786,2110)(1450,1787,2111)
     (1451,1788,2112)(1452,1789,2113)(1453,1790,2114)(1454,1791,2115)(1455,
     1792,2116)(1456,1793,2117)(1457,1794,2118)(1458,1795,2119)(1459,1796,
     2120)(1460,1797,2121)(1461,1798,2122)(1462,1799,2123)(1463,1800,2124)
     (1464,1801,2125)(1465,1802,2126)(1466,1803,2127)(1467,1804,2128)(1468,
     1805,2129)(1469,1806,2130)(1470,1807,2131)(1471,1808,2132)(1472,1809,
     2133)(1473,1810,2134)(1474,1811,2135)(1475,1812,2136)(1476,1813,2137)
     (1477,1814,2138)(1478,1815,2139)(1479,1816,2140)(1480,1817,2141)(1481,
     1818,2142)(1482,1819,2143)(1483,1820,2144)(1484,1821,2145)(1485,1822,
     2146)(1486,1823,2147)(1487,1824,2148)(1488,1825,2149)(1489,1826,2150)
     (1490,1827,2151)(1491,1828,2152)(1492,1829,2153)(1493,1830,2154)(1494,
     1831,2155)(1495,1832,2156)(1496,1833,2157)(1498,1835,2158)(1499,1836,
     2159)(1500,1837,2160)(1501,1838,2161)(1502,1839,2162)(1503,1840,2163)
     (1504,1841,2164)(1505,1842,2165)(1506,1843,2166)(1507,1844,2167)(1508,
     1845,2168)(1509,1846,2169)(1510,1847,2170)(1511,1848,2171)(1512,1849,
     2172)(1513,1850,2173)(1514,1851,2174)(1515,1852,2175)(1516,1853,2176)
     (1517,1854,2177)(1518,1855,2178)(1519,1856,2179)(1520,1857,2180)(1521,
     1858,2181)(1522,1859,2182)(1523,1860,2183)(1524,1861,2184)(1525,1862,
     2185)(1526,1863,2186)(1527,1864,2187)(1528,1865,2188)(1529,1866,2189)
     (1530,1867,2190)(1531,1868,2191)(1532,1869,2192)(1533,1870,2193)(1534,
     1871,2194)(1535,1872,2195)(1536,1873,2196)(1537,1874,2197)(1538,1875,
     2198)(1539,1876,2199)(1540,1877,2200)(1541,1878,2201)(1542,1879,2202)
     (1543,1880,2203)(1544,1881,2204)(1545,1882,2205)(1546,1883,2206)(1547,
     1884,2207)(1548,1885,2208)(2209,2856,3478)(2210,2857,3479)(2211,2858,
     3480)(2212,2859,3481)(2213,2860,3482)(2214,2861,3483)(2215,2862,3484)
     (2216,2863,3485)(2217,2864,3486)(2218,2865,3487)(2219,2866,3488)(2220,
     2867,3489)(2221,2868,3490)(2222,2869,3491)(2223,2870,3492)(2224,2871,
     3493)(2225,2872,3494)(2226,2873,3495)(2227,2874,3496)(2228,2875,3497)
     (2229,2876,3498)(2230,2877,3499)(2231,2878,3500)(2232,2879,3501)(2233,
     2880,3502)(2234,2881,3503)(2235,2882,3504)(2236,2883,3505)(2237,2884,
     3506)(2238,2885,3507)(2239,2886,3508)(2240,2887,3509)(2241,2888,3510)
     (2242,2889,3511)(2243,2890,3512)(2244,2891,3513)(2245,2892,3514)(2246,
     2893,3515)(2247,2894,3516)(2248,2895,3517)(2249,2896,3518)(2250,2897,
     3519)(2251,2898,3520)(2252,2899,3521)(2253,2900,3522)(2254,2901,3523)
     (2255,2902,3524)(2256,2903,3525)(2257,2904,3526)(2258,2905,3527)(2259,
     2906,3528)(2260,2907,3529)(2261,2908,3530)(2262,2909,3531)(2263,2910,
     3532)(2264,2911,3533)(2265,2912,3534)(2266,2913,3535)(2267,2914,3536)
     (2268,2915,3537)(2269,2916,3538)(2270,2917,3539)(2271,2918,3540)(2272,
     2919,3541)(2273,2920,3542)(2274,2921,3543)(2275,2922,3544)(2276,2923,
     3545)(2277,2924,3546)(2278,2925,3547)(2279,2926,3548)(2280,2927,3549)
     (2281,2928,3550)(2282,2929,3551)(2283,2930,3552)(2284,2931,3553)(2285,
     2932,3554)(2286,2933,3555)(2287,2934,3556)(2288,2935,3557)(2289,2936,
     3558)(2290,2937,3559)(2291,2938,3560)(2292,2939,3561)(2293,2940,3562)
     (2294,2941,3563)(2295,2942,3564)(2296,2943,3565)(2297,2944,3566)(2298,
     2945,3567)(2299,2946,3568)(2300,2947,3569)(2301,2948,3570)(2302,2949,
     3571)(2303,2950,3572)(2304,2951,3573)(2305,2952,3574)(2306,2953,3575)
     (2307,2954,3576)(2308,2955,3577)(2309,2956,3578)(2310,2957,3579)(2311,
     2958,3580)(2312,2959,3581)(2313,2960,3582)(2314,2961,3583)(2315,2962,
     3584)(2316,2963,3585)(2317,2964,3586)(2318,2965,3587)(2319,2966,3588)
     (2320,2967,3589)(2321,2968,3590)(2322,2969,3591)(2323,2970,3592)(2324,
     2971,3593)(2325,2972,3594)(2326,2973,3595)(2327,2974,3596)(2328,2975,
     3597)(2329,2976,3598)(2330,2977,3599)(2331,2978,3600)(2332,2979,3601)
     (2333,2980,3602)(2334,2981,3603)(2335,2982,3604)(2336,2983,3605)(2337,
     2984,3606)(2338,2985,3607)(2339,2986,3608)(2340,2987,3609)(2341,2988,
     3610)(2342,2989,3611)(2343,2990,3612)(2344,2991,3613)(2345,2992,3614)
     (2346,2993,3615)(2347,2994,3616)(2348,2995,3617)(2349,2996,3618)(2350,
     2997,3619)(2351,2998,3620)(2352,2999,3621)(2353,3000,3622)(2354,3001,
     3623)(2355,3002,3624)(2356,3003,3625)(2357,3004,3626)(2358,3005,3627)
     (2359,3006,3628)(2360,3007,3629)(2361,3008,3630)(2362,3009,3631)(2363,
     3010,3632)(2364,3011,3633)(2365,3012,3634)(2366,3013,3635)(2367,3014,
     3636)(2368,3015,3637)(2369,3016,3638)(2370,3017,3639)(2371,3018,3640)
     (2372,3019,3641)(2373,3020,3642)(2374,3021,3643)(2375,3022,3644)(2376,
     3023,3645)(2377,3024,3646)(2378,3025,3647)(2379,3026,3648)(2380,3027,
     3649)(2381,3028,3650)(2382,3029,3651)(2383,3030,3652)(2384,3031,3653)
     (2385,3032,3654)(2386,3033,3655)(2387,3034,3656)(2388,3035,3657)(2389,
     3036,3658)(2390,3037,3659)(2391,3038,3660)(2392,3039,3661)(2393,3040,
     3662)(2394,3041,3663)(2395,3042,3664)(2396,3043,3665)(2397,3044,3666)
     (2398,3045,3667)(2399,3046,3668)(2400,3047,2643)(2401,3048,2644)(2402,
     3049,3669)(2403,3050,3670)(2404,3051,3671)(2405,3052,3672)(2406,3053,
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     111615,117870)(102932,111616,117871)(102937,111618,117872)
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     111698,117934)(103048,111700,117935)(103049,111701,117936)
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     111709,117942)(103061,111710,117943)(103062,111711,117944)
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     111735,117966)(103099,111736,117967)(103102,111737,117968)
     (103103,111738,117969)(103107,111740,117970)(103108,111741,
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