z1 := (1,2,3)(4,6,7)(5,8,9)(10,14,15)(11,16,17)(12,18,19)(13,20,21)(22,30,31)
     (23,32,33)(24,34,35)(25,36,37)(26,38,39)(27,40,41)(28,42,43)(29,44,45)
     (46,59,60)(47,61,62)(48,63,57)(49,64,65)(50,66,67)(51,68,69)(52,70,71)
     (53,72,73)(54,74,75)(55,76,77)(56,78,79)(58,80,81)(82,102,103)(83,104,
     105)(84,106,91)(85,107,108)(86,109,110)(87,111,112)(88,113,114)(89,115,
     116)(90,117,118)(92,119,120)(93,121,122)(94,123,124)(95,125,126)(96,127,
     101)(97,128,129)(98,130,131)(99,132,133)(100,134,135)(136,167,168)(137,
     169,170)(138,171,145)(139,172,173)(140,174,175)(141,176,177)(142,178,179)
     (143,180,181)(144,182,183)(146,184,185)(147,186,187)(148,188,153)(149,
     189,190)(150,191,192)(151,193,194)(152,195,196)(154,197,198)(155,199,200)
     (156,201,160)(157,202,203)(158,204,205)(159,206,207)(161,208,209)(162,
     210,211)(163,212,213)(164,214,215)(165,216,217)(166,218,219)(220,269,270)
     (221,271,272)(222,273,230)(223,274,275)(224,276,277)(225,278,279)(226,
     280,281)(227,282,283)(228,284,285)(229,286,287)(231,288,289)(232,290,291)
     (233,292,293)(234,264,294)(235,295,296)(236,297,298)(237,299,300)(238,
     301,302)(239,303,304)(240,305,306)(241,307,308)(242,309,310)(243,311,312)
     (244,313,314)(245,315,249)(246,316,317)(247,318,319)(248,320,321)(250,
     322,323)(251,324,325)(252,326,327)(253,328,329)(254,330,331)(255,332,333)
     (256,334,335)(257,336,337)(258,338,339)(259,340,341)(260,342,343)(261,
     344,345)(262,346,347)(263,348,349)(265,350,351)(266,352,353)(267,354,355)
     (268,356,357)(358,444,445)(359,446,447)(360,448,368)(361,449,450)(362,
     451,452)(363,453,454)(364,455,456)(365,457,458)(366,459,460)(367,461,462)
     (369,463,464)(370,465,466)(371,467,468)(372,401,469)(373,470,378)(374,
     471,472)(375,473,474)(376,475,476)(377,477,478)(379,479,480)(380,481,482)
     (381,483,484)(382,485,486)(383,487,488)(384,489,490)(385,491,492)(386,
     493,494)(387,495,496)(388,497,498)(389,499,396)(390,500,501)(391,502,503)
     (392,504,505)(393,506,507)(394,508,509)(395,510,511)(397,512,513)(398,
     514,515)(399,516,517)(400,518,519)(402,520,521)(403,522,523)(404,524,525)
     (405,526,527)(406,528,529)(407,530,531)(408,532,533)(409,534,535)(410,
     536,537)(411,538,539)(412,540,417)(413,541,542)(414,543,544)(415,545,546)
     (416,547,548)(418,549,550)(419,551,552)(420,553,554)(421,440,555)(422,
     556,557)(423,558,559)(424,560,561)(425,562,430)(426,563,564)(427,565,566)
     (428,567,568)(429,569,570)(431,571,572)(432,573,574)(433,575,576)(434,
     577,578)(435,579,580)(436,581,582)(437,583,584)(438,585,586)(439,587,588)
     (441,589,590)(442,591,592)(443,593,594)(595,740,741)(596,742,743)(597,
     744,605)(598,745,746)(599,747,748)(600,749,750)(601,751,752)(602,753,754)
     (603,755,756)(604,757,758)(606,759,760)(607,761,762)(608,763,764)(609,
     641,765)(610,766,615)(611,767,768)(612,769,770)(613,771,772)(614,773,774)
     (616,775,776)(617,777,778)(618,779,780)(619,781,782)(620,783,670)(621,
     784,785)(622,786,787)(623,788,789)(624,790,791)(625,792,793)(626,794,631)
     (627,795,796)(628,711,797)(629,798,799)(630,800,801)(632,802,803)(633,
     804,805)(634,806,807)(635,808,809)(636,810,811)(637,812,813)(638,814,815)
     (639,816,817)(640,818,819)(642,820,821)(643,822,823)(644,824,825)(645,
     826,827)(646,828,829)(647,830,652)(648,831,832)(649,833,834)(650,835,836)
     (651,837,838)(653,839,840)(654,841,842)(655,843,844)(656,679,845)(657,
     846,662)(658,847,848)(659,849,850)(660,851,852)(661,853,854)(663,855,856)
     (664,857,858)(665,859,860)(666,861,862)(667,863,674)(668,864,865)(669,
     866,867)(671,868,869)(672,870,871)(673,872,873)(675,874,875)(676,876,877)
     (677,878,879)(678,880,881)(680,882,883)(681,884,885)(682,886,887)(683,
     888,889)(684,890,891)(685,892,893)(686,894,895)(687,896,897)(688,898,899)
     (689,900,901)(690,706,902)(691,903,696)(692,904,905)(693,906,907)(694,
     908,909)(695,910,911)(697,912,913)(698,914,915)(699,916,917)(700,918,919)
     (701,920,921)(702,922,923)(703,924,925)(704,926,927)(705,928,929)(707,
     930,931)(708,932,933)(709,934,935)(710,936,937)(712,938,939)(713,940,718)
     (714,941,942)(715,943,944)(716,945,946)(717,947,948)(719,949,950)(720,
     951,952)(721,953,954)(722,955,956)(723,957,728)(724,958,959)(725,960,961)
     (726,962,963)(727,964,965)(729,966,967)(730,968,969)(731,970,971)(732,
     972,737)(733,973,974)(734,975,976)(735,977,978)(736,979,980)(738,981,982)
     (739,983,984)(985,1217,1218)(986,1219,1220)(987,1221,995)(988,1222,1223)
     (989,1224,1225)(990,1226,1227)(991,1228,1229)(992,1230,1231)(993,1232,
     1233)(994,1234,1235)(996,1236,1237)(997,1238,1239)(998,1240,1241)(999,
     1037,1242)(1000,1243,1005)(1001,1244,1245)(1002,1246,1247)(1003,1248,
     1249)(1004,1250,1251)(1006,1252,1253)(1007,1254,1255)(1008,1256,1257)
     (1009,1258,1259)(1010,1260,1261)(1011,1262,1263)(1012,1264,1265)(1013,
     1266,1267)(1014,1268,1269)(1015,1270,1271)(1016,1272,1021)(1017,1273,
     1274)(1018,1275,1276)(1019,1277,1278)(1020,1279,1280)(1022,1281,1282)
     (1023,1283,1067)(1024,1284,1285)(1025,1286,1287)(1026,1288,1032)(1027,
     1289,1290)(1028,1291,1292)(1029,1293,1294)(1030,1295,1296)(1031,1297,
     1298)(1033,1299,1300)(1034,1301,1302)(1035,1303,1304)(1036,1305,1306)
     (1038,1307,1308)(1039,1309,1310)(1040,1311,1312)(1041,1313,1314)(1042,
     1315,1316)(1043,1317,1048)(1044,1177,1318)(1045,1319,1320)(1046,1321,
     1322)(1047,1323,1324)(1049,1325,1326)(1050,1327,1328)(1051,1329,1330)
     (1052,1331,1332)(1053,1333,1058)(1054,1334,1335)(1055,1336,1337)(1056,
     1338,1339)(1057,1340,1341)(1059,1342,1201)(1060,1343,1344)(1061,1345,
     1346)(1062,1347,1348)(1063,1349,1068)(1064,1350,1351)(1065,1352,1353)
     (1066,1354,1355)(1069,1356,1357)(1070,1358,1359)(1071,1360,1361)(1072,
     1362,1077)(1073,1363,1364)(1074,1365,1366)(1075,1367,1368)(1076,1369,
     1370)(1078,1371,1372)(1079,1373,1374)(1080,1375,1376)(1081,1377,1378)
     (1082,1379,1380)(1083,1381,1382)(1084,1383,1384)(1085,1385,1386)(1086,
     1387,1388)(1087,1389,1390)(1088,1391,1392)(1089,1393,1394)(1090,1395,
     1396)(1091,1397,1398)(1092,1399,1400)(1093,1401,1098)(1094,1402,1403)
     (1095,1404,1405)(1096,1406,1407)(1097,1408,1409)(1099,1410,1411)(1100,
     1412,1413)(1101,1414,1415)(1102,1416,1417)(1103,1418,1109)(1104,1419,
     1420)(1105,1421,1422)(1106,1423,1424)(1107,1425,1426)(1108,1427,1428)
     (1110,1429,1430)(1111,1126,1431)(1112,1432,1117)(1113,1433,1434)(1114,
     1435,1436)(1115,1437,1438)(1116,1439,1440)(1118,1441,1442)(1119,1443,
     1444)(1120,1445,1446)(1121,1447,1448)(1122,1449,1450)(1123,1451,1452)
     (1124,1453,1454)(1125,1455,1456)(1127,1457,1458)(1128,1459,1460)(1129,
     1461,1462)(1130,1463,1137)(1131,1464,1465)(1132,1466,1467)(1133,1468,
     1469)(1134,1470,1471)(1135,1472,1473)(1136,1474,1475)(1138,1476,1477)
     (1139,1478,1479)(1140,1480,1481)(1141,1482,1483)(1142,1484,1485)(1143,
     1486,1487)(1144,1488,1489)(1145,1490,1491)(1146,1492,1493)(1147,1494,
     1151)(1148,1495,1496)(1149,1497,1498)(1150,1499,1500)(1152,1501,1502)
     (1153,1503,1504)(1154,1505,1506)(1155,1507,1508)(1156,1509,1161)(1157,
     1510,1511)(1158,1512,1513)(1159,1514,1515)(1160,1516,1517)(1162,1518,
     1519)(1163,1520,1521)(1164,1522,1523)(1165,1524,1525)(1166,1526,1172)
     (1167,1527,1528)(1168,1529,1530)(1169,1531,1532)(1170,1533,1534)(1171,
     1535,1536)(1173,1537,1538)(1174,1539,1540)(1175,1541,1542)(1176,1543,
     1544)(1178,1545,1546)(1179,1547,1184)(1180,1548,1549)(1181,1550,1551)
     (1182,1552,1553)(1183,1554,1555)(1185,1556,1557)(1186,1558,1559)(1187,
     1560,1561)(1188,1562,1563)(1189,1564,1195)(1190,1565,1566)(1191,1567,
     1568)(1192,1569,1570)(1193,1571,1572)(1194,1573,1574)(1196,1575,1576)
     (1197,1577,1578)(1198,1579,1580)(1199,1581,1582)(1200,1583,1584)(1202,
     1585,1586)(1203,1587,1588)(1204,1589,1209)(1205,1590,1591)(1206,1592,
     1593)(1207,1594,1595)(1208,1596,1597)(1210,1598,1599)(1211,1600,1601)
     (1212,1602,1603)(1213,1604,1605)(1214,1606,1607)(1215,1608,1609)(1216,
     1610,1611)(1612,1985,1986)(1613,1987,1988)(1614,1989,1622)(1615,1990,
     1991)(1616,1992,1993)(1617,1994,1995)(1618,1996,1997)(1619,1998,1999)
     (1620,2000,2001)(1621,2002,2003)(1623,2004,2005)(1624,2006,2007)(1625,
     2008,2009)(1626,1663,2010)(1627,2011,1632)(1628,2012,2013)(1629,2014,
     2015)(1630,2016,2017)(1631,2018,2019)(1633,2020,2021)(1634,2022,2023)
     (1635,2024,2025)(1636,2026,2027)(1637,2028,2029)(1638,2030,2031)(1639,
     2032,2033)(1640,2034,2035)(1641,2036,2037)(1642,2038,1647)(1643,2039,
     2040)(1644,2041,2042)(1645,2043,2044)(1646,2045,2046)(1648,2047,2048)
     (1649,2049,2050)(1650,1702,2051)(1651,2052,2053)(1652,2054,1658)(1653,
     2055,2056)(1654,2057,2058)(1655,2059,2060)(1656,2061,2062)(1657,2063,
     2064)(1659,2065,2066)(1660,2067,2068)(1661,2069,1664)(1662,2070,2071)
     (1665,2072,2073)(1666,2074,2075)(1667,2076,2077)(1668,2078,2079)(1669,
     2080,1674)(1670,2081,2082)(1671,2083,2084)(1672,2085,2086)(1673,2087,
     2088)(1675,2089,2090)(1676,2091,2092)(1677,2093,2094)(1678,2095,1684)
     (1679,2096,2097)(1680,2098,2099)(1681,2100,2101)(1682,2102,2103)(1683,
     2104,2105)(1685,2106,2107)(1686,1707,2108)(1687,2109,1692)(1688,2110,
     2111)(1689,2112,2113)(1690,2114,2115)(1691,2116,2117)(1693,2118,2119)
     (1694,2120,2121)(1695,2122,2123)(1696,2124,2125)(1697,2126,1704)(1698,
     2127,2128)(1699,2129,2130)(1700,2131,2132)(1701,2133,2134)(1703,2135,
     2136)(1705,2137,2138)(1706,2139,2140)(1708,2141,2142)(1709,2143,2144)
     (1710,2145,2146)(1711,2147,1730)(1712,2148,2149)(1713,2150,1718)(1714,
     2151,2152)(1715,2153,2154)(1716,2155,2156)(1717,2157,2158)(1719,2159,
     2160)(1720,2161,2162)(1721,2163,2164)(1722,2165,2166)(1723,2167,1727)
     (1724,2168,2169)(1725,2170,2171)(1726,2172,2173)(1728,2174,2175)(1729,
     2176,2177)(1731,2178,2179)(1732,2180,2181)(1733,2182,2183)(1734,2184,
     2185)(1735,2186,2187)(1736,2188,2189)(1737,2190,1742)(1738,2191,2192)
     (1739,2193,2194)(1740,2195,2196)(1741,2197,2198)(1743,1927,2199)(1744,
     2200,2201)(1745,2202,2203)(1746,2204,2205)(1747,2206,2207)(1748,2208,
     2209)(1749,2210,2211)(1750,2212,2213)(1751,2214,2215)(1752,2216,2217)
     (1753,2218,2219)(1754,1783,2220)(1755,2221,1759)(1756,2222,2223)(1757,
     2224,2225)(1758,2226,2227)(1760,2228,2229)(1761,2230,2231)(1762,2232,
     1766)(1763,2233,2234)(1764,2235,2236)(1765,2237,2238)(1767,2239,2240)
     (1768,2241,2242)(1769,2243,2244)(1770,2245,2246)(1771,2247,1778)(1772,
     1966,2248)(1773,2249,2250)(1774,2251,2252)(1775,2253,2254)(1776,2255,
     2256)(1777,2257,2258)(1779,2259,2260)(1780,2261,2262)(1781,2263,2264)
     (1782,2265,2266)(1784,2267,2268)(1785,2269,2270)(1786,2271,2272)(1787,
     2273,1827)(1788,2274,2275)(1789,2276,2277)(1790,2278,1795)(1791,2279,
     2280)(1792,2281,2282)(1793,2283,2284)(1794,2285,2286)(1796,2287,2288)
     (1797,2289,2290)(1798,2291,2292)(1799,2293,1807)(1800,2294,2295)(1801,
     2296,2297)(1802,2298,2299)(1803,2300,2301)(1804,2302,2303)(1805,2304,
     2305)(1806,2306,2307)(1808,2308,2309)(1809,2310,2311)(1810,2312,2313)
     (1811,2314,2315)(1812,2316,2317)(1813,2318,2319)(1814,2320,2321)(1815,
     2322,2323)(1816,2324,2325)(1817,2326,2327)(1818,2328,2329)(1819,2330,
     2331)(1820,2332,1825)(1821,2333,2334)(1822,2335,2336)(1823,2337,2338)
     (1824,2339,2340)(1826,2341,2342)(1828,2343,2344)(1829,2345,2346)(1830,
     2347,1834)(1831,2348,2349)(1832,1964,2350)(1833,2351,2352)(1835,2353,
     2354)(1836,2355,2356)(1837,2357,1968)(1838,2358,2359)(1839,2360,2361)
     (1840,2362,2363)(1841,2364,2365)(1842,2366,1847)(1843,2367,2368)(1844,
     2369,2370)(1845,2371,2372)(1846,2373,2374)(1848,2375,2376)(1849,2377,
     2378)(1850,2379,2380)(1851,1872,2381)(1852,2382,1857)(1853,2383,2384)
     (1854,2385,2386)(1855,2387,2388)(1856,2389,2390)(1858,2391,2392)(1859,
     2393,2394)(1860,2395,2396)(1861,2397,2398)(1862,2399,1867)(1863,2400,
     2401)(1864,2402,2403)(1865,2404,2405)(1866,2406,2407)(1868,2408,2409)
     (1869,2410,2411)(1870,2412,2413)(1871,2414,2415)(1873,2416,2417)(1874,
     2418,2419)(1875,2420,2421)(1876,2422,2423)(1877,2424,1882)(1878,2425,
     2426)(1879,2427,2428)(1880,2429,2430)(1881,2431,2432)(1883,2433,2434)
     (1884,2435,2436)(1885,2437,2438)(1886,2439,2440)(1887,2441,1892)(1888,
     2442,1950)(1889,2443,2444)(1890,2445,2446)(1891,2447,2448)(1893,2449,
     1972)(1894,2450,2451)(1895,2452,2453)(1896,2454,2455)(1897,2456,2457)
     (1898,2458,2459)(1899,2460,2461)(1900,2462,2463)(1901,2464,2465)(1902,
     2466,1908)(1903,2467,2468)(1904,2469,1906)(1905,2470,2471)(1907,2472,
     2473)(1909,2474,2475)(1910,2476,2477)(1911,2478,1916)(1912,2479,2480)
     (1913,2481,2482)(1914,2483,2484)(1915,2485,2486)(1917,2487,2488)(1918,
     2489,2490)(1919,2491,2492)(1920,2493,2494)(1921,2495,2496)(1922,2497,
     2498)(1923,2499,2500)(1924,2501,2502)(1925,2503,2504)(1926,2505,2506)
     (1928,2507,2508)(1929,2509,1934)(1930,2510,2511)(1931,2512,2513)(1932,
     2514,2515)(1933,2516,2517)(1935,2518,2519)(1936,2520,2521)(1937,2522,
     2523)(1938,2524,2525)(1939,2526,1946)(1940,2527,2528)(1941,2529,2530)
     (1942,2531,2532)(1943,2533,2534)(1944,2535,2536)(1945,2537,2538)(1947,
     2539,2540)(1948,2541,2542)(1949,2543,2544)(1951,2545,2546)(1952,2547,
     2548)(1953,2549,2550)(1954,2551,1959)(1955,2552,2553)(1956,2554,2555)
     (1957,2556,2557)(1958,2558,2559)(1960,2560,2561)(1961,2562,2563)(1962,
     2564,2565)(1963,2566,2567)(1965,2568,2569)(1967,2570,2571)(1969,2572,
     2573)(1970,2574,2575)(1971,2576,2577)(1973,2578,2579)(1974,2580,2581)
     (1975,2582,2583)(1976,2584,2585)(1977,2586,1982)(1978,2587,2588)(1979,
     2589,2590)(1980,2591,2592)(1981,2593,2594)(1983,2595,2596)(1984,2597,
     2598)(2599,3161,3162)(2600,3163,3164)(2601,3165,2609)(2602,3166,3167)
     (2603,3168,3114)(2604,3169,3170)(2605,3062,3058)(2606,3171,3172)(2607,
     3173,3174)(2608,3175,3176)(2610,3177,3178)(2611,3179,3180)(2612,3181,
     3182)(2613,2648,3183)(2614,3184,2619)(2615,3185,3186)(2616,3187,3188)
     (2617,3189,3190)(2618,3191,3192)(2620,3193,3194)(2621,3195,3196)(2622,
     3197,3198)(2623,3199,3200)(2624,3201,3202)(2625,3203,3204)(2626,3205,
     3206)(2627,3207,3208)(2628,3209,3210)(2629,3211,3212)(2630,3213,2635)
     (2631,3214,3215)(2632,3216,3217)(2633,3218,3219)(2634,3220,3221)(2636,
     3222,3223)(2637,3224,3225)(2638,2820,3226)(2639,3227,2817)(2640,3228,
     2646)(2641,3229,3230)(2642,3231,3232)(2643,3233,3234)(2644,3235,3236)
     (2645,3237,3238)(2647,3239,3240)(2649,3241,3242)(2650,3243,3244)(2651,
     3245,3246)(2652,3247,2916)(2653,3248,3249)(2654,3250,3251)(2655,3252,
     2660)(2656,3253,3254)(2657,3005,3255)(2658,3256,3257)(2659,3258,3259)
     (2661,3260,3261)(2662,3262,3263)(2663,3264,2742)(2664,3265,2669)(2665,
     3266,3267)(2666,3268,3269)(2667,3270,3271)(2668,3272,3273)(2670,3274,
     2797)(2671,3275,3276)(2672,3277,3278)(2673,2687,2793)(2674,3279,2677)
     (2675,3280,3281)(2676,3282,3283)(2678,3284,3285)(2679,3286,3287)(2680,
     3288,2684)(2681,3289,3290)(2682,3291,3292)(2683,3293,3294)(2685,2790,
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