z1 := (1,2,3)(4,6,8)(5,7,9)(10,14,17)(11,15,12)(13,16,18)(19,24,29)(20,25,30)
     (21,26,31)(22,27,32)(23,28,33)(34,44,54)(35,45,55)(36,46,56)(37,47,57)
     (38,48,58)(39,49,59)(40,50,60)(41,51,61)(42,52,62)(43,53,63)(64,84,104)
     (65,85,105)(66,86,106)(67,87,107)(68,88,108)(69,89,109)(70,90,110)(71,91,
     111)(72,92,112)(73,93,113)(74,94,114)(75,95,115)(76,96,116)(77,97,117)
     (78,98,118)(79,99,119)(80,100,120)(81,101,121)(82,102,122)(83,103,123)
     (124,162,200)(125,163,201)(126,164,202)(127,165,203)(128,166,204)(129,
     167,205)(130,168,206)(131,169,207)(132,170,208)(133,171,209)(134,172,210)
     (135,173,211)(136,174,212)(137,175,213)(138,176,214)(139,177,215)(140,
     178,216)(141,179,217)(142,180,218)(143,181,219)(144,182,220)(145,183,221)
     (146,184,222)(147,185,223)(148,186,224)(149,187,225)(150,188,226)(151,
     189,227)(152,190,228)(153,191,229)(154,192,230)(155,193,231)(156,194,232)
     (157,195,233)(158,196,234)(159,197,235)(160,198,236)(161,199,237)(238,
     312,385)(239,313,386)(240,314,387)(241,315,388)(242,316,389)(243,317,390)
     (244,318,391)(245,319,392)(246,320,393)(247,321,394)(248,322,395)(249,
     323,396)(250,324,397)(251,325,398)(252,326,399)(253,327,400)(254,328,401)
     (255,329,402)(256,330,403)(257,331,404)(258,332,405)(259,333,406)(260,
     334,407)(261,335,408)(262,336,409)(263,337,410)(264,338,286)(265,339,411)
     (266,340,412)(267,341,413)(268,342,414)(269,343,415)(270,344,416)(271,
     345,417)(272,346,418)(273,347,419)(274,348,420)(275,349,421)(276,350,422)
     (277,351,423)(278,352,424)(279,353,425)(280,354,426)(281,355,427)(282,
     356,428)(283,357,429)(284,358,430)(285,359,431)(287,360,432)(288,361,433)
     (289,362,434)(290,363,435)(291,364,436)(292,365,437)(293,366,438)(294,
     367,439)(295,368,440)(296,369,441)(297,370,442)(298,371,443)(299,372,444)
     (300,373,445)(301,374,446)(302,375,447)(303,376,448)(304,377,449)(305,
     378,450)(306,379,451)(307,380,452)(308,381,453)(309,382,454)(310,383,455)
     (311,384,456)(457,598,727)(458,599,471)(459,600,728)(460,601,729)(461,
     602,462)(463,603,489)(464,604,730)(465,605,731)(466,606,732)(467,607,733)
     (468,608,734)(469,609,735)(470,610,736)(472,611,737)(473,612,738)(474,
     613,739)(475,614,740)(476,615,527)(477,616,741)(478,617,742)(479,618,743)
     (480,619,744)(481,620,745)(482,621,746)(483,622,747)(484,623,748)(485,
     624,749)(486,512,649)(487,625,750)(488,626,751)(490,627,752)(491,628,753)
     (492,629,754)(493,630,755)(494,631,756)(495,632,757)(496,633,758)(497,
     634,759)(498,635,760)(499,636,761)(500,637,762)(501,638,763)(502,639,764)
     (503,640,765)(504,641,766)(505,642,767)(506,643,578)(507,644,546)(508,
     645,768)(509,646,769)(510,647,770)(511,648,771)(513,650,772)(514,651,773)
     (515,539,673)(516,652,774)(517,653,775)(518,654,776)(519,655,777)(520,
     656,778)(521,657,779)(522,658,780)(523,659,781)(524,660,782)(525,661,783)
     (526,662,531)(528,663,784)(529,664,785)(530,665,786)(532,666,787)(533,
     667,788)(534,668,789)(535,669,790)(536,670,791)(537,671,792)(538,672,793)
     (540,674,794)(541,675,795)(542,592,722)(543,676,796)(544,677,797)(545,
     678,798)(547,679,799)(548,680,800)(549,681,801)(550,682,802)(551,683,803)
     (552,684,804)(553,685,805)(554,686,806)(555,687,807)(556,688,808)(557,
     689,809)(558,690,810)(559,691,811)(560,692,812)(561,693,813)(562,694,814)
     (563,695,815)(564,696,816)(565,697,817)(566,698,818)(567,699,819)(568,
     700,820)(569,701,821)(570,702,822)(571,703,823)(572,704,824)(573,705,825)
     (574,706,826)(575,707,827)(576,708,828)(577,709,829)(579,710,830)(580,
     711,831)(581,712,594)(582,713,832)(583,714,833)(584,715,834)(585,716,835)
     (586,717,836)(587,718,837)(588,719,838)(589,720,839)(590,591,721)(593,
     723,840)(595,724,841)(596,725,842)(597,726,843)(844,1061,1263)(845,1062,
     1264)(846,1063,1265)(847,1064,869)(848,1065,1266)(849,1066,1267)(850,
     1067,1056)(851,884,1097)(852,1068,1268)(853,1069,1269)(854,1070,1270)
     (855,1071,1271)(856,897,1110)(857,1072,1272)(858,1073,1273)(859,1074,
     1274)(860,1075,1275)(861,1076,1276)(862,1077,1277)(863,1078,1278)(864,
     1079,1279)(865,1080,1280)(866,1081,1281)(867,1082,1282)(868,1083,1283)
     (870,1084,1284)(871,1085,1285)(872,1086,1286)(873,1087,1287)(874,1088,
     1288)(875,1089,1289)(876,1090,1290)(877,1091,1291)(878,1092,1292)(879,
     1093,1293)(880,1094,1294)(881,1046,1249)(882,1095,1295)(883,1096,1296)
     (885,1098,1297)(886,1099,1298)(887,1100,1299)(888,1101,1300)(889,1102,
     1301)(890,1103,1302)(891,1104,1303)(892,1105,1304)(893,1106,1305)(894,
     1107,1306)(895,1108,1307)(896,1109,1308)(898,1014,1218)(900,961,1169)
     (901,1111,1309)(902,1112,1310)(903,1113,1311)(904,1114,1312)(905,1115,
     1313)(906,1116,1314)(907,1117,1315)(908,1118,1316)(909,1119,1317)(910,
     1120,1318)(911,1121,1319)(912,1122,1320)(913,1123,1321)(914,1124,1322)
     (915,1125,1323)(916,1126,1324)(917,1127,1325)(918,1128,1326)(919,1129,
     1327)(920,1130,1328)(921,1131,1329)(922,1132,1330)(923,1133,1331)(924,
     1134,1332)(925,1135,989)(926,1136,1333)(927,1137,1009)(928,1138,1334)
     (929,1139,1335)(930,1140,1336)(931,1141,1337)(932,1142,1338)(933,1143,
     1339)(934,1144,1340)(935,1145,1341)(936,1146,1342)(937,1147,1343)(938,
     1148,1344)(939,1149,1345)(940,1150,1346)(941,1151,1347)(942,1152,1348)
     (943,1153,1349)(944,1154,1350)(945,1155,1351)(946,1156,1352)(947,1157,
     1353)(948,1158,1354)(949,1159,1355)(950,1160,1356)(951,1161,1357)(952,
     1162,1358)(953,1163,1359)(954,1039,1243)(955,1164,1360)(956,1013,1217)
     (957,1165,1361)(958,1166,1362)(959,1167,1363)(960,1168,1364)(962,1170,
     1365)(963,1171,1366)(964,1172,1367)(965,1173,1368)(966,1174,1369)(967,
     1175,1370)(968,1176,1371)(969,1177,1372)(970,1178,1373)(971,1179,1374)
     (972,1180,1375)(973,1181,1376)(974,1182,1377)(975,1183,1378)(976,1184,
     1379)(977,1185,1380)(978,1186,1381)(979,1187,1382)(980,1188,1383)(981,
     1189,1384)(982,1190,1005)(983,1191,1385)(984,1192,1386)(985,1193,1387)
     (986,1194,1388)(987,1195,1389)(988,1196,1390)(990,1197,1391)(991,1198,
     1392)(992,1199,1393)(993,1027,1231)(994,1200,1394)(995,1201,1395)(996,
     1202,1396)(997,1203,1043)(998,1204,1397)(999,1205,1398)(1000,1206,1399)
     (1001,1207,1400)(1002,1208,1401)(1003,1209,1402)(1004,1210,1403)(1006,
     1211,1404)(1007,1212,1405)(1008,1213,1406)(1010,1214,1407)(1011,1215,
     1408)(1012,1216,1409)(1015,1219,1410)(1016,1220,1411)(1017,1221,1412)
     (1018,1222,1413)(1019,1223,1414)(1020,1224,1415)(1021,1225,1416)(1022,
     1226,1417)(1023,1227,1418)(1024,1228,1419)(1025,1229,1420)(1026,1230,
     1421)(1028,1232,1422)(1029,1233,1423)(1030,1234,1424)(1031,1235,1425)
     (1032,1236,1426)(1033,1237,1427)(1034,1238,1428)(1035,1239,1429)(1036,
     1240,1430)(1037,1241,1431)(1038,1242,1432)(1040,1244,1433)(1041,1245,
     1434)(1042,1246,1435)(1044,1247,1436)(1045,1248,1437)(1047,1250,1438)
     (1048,1251,1439)(1049,1252,1440)(1050,1253,1441)(1051,1254,1442)(1052,
     1255,1443)(1053,1256,1444)(1054,1257,1445)(1055,1258,1446)(1057,1259,
     1447)(1058,1260,1448)(1059,1261,1449)(1060,1262,1450)(1451,1796,2094)
     (1452,1797,2095)(1453,1798,2096)(1454,1799,2097)(1455,1800,2098)(1456,
     1801,2099)(1457,1802,2100)(1458,1544,1621)(1459,1803,2101)(1460,1804,
     2102)(1461,1805,2103)(1462,1806,2104)(1463,1807,2105)(1464,1808,1742)
     (1465,1589,1917)(1466,1653,1974)(1467,1809,2106)(1468,1810,2107)(1469,
     1811,2108)(1470,1812,2109)(1471,1813,2110)(1472,1814,1652)(1473,1499,
     1836)(1474,1815,2111)(1475,1745,2052)(1476,1816,1678)(1477,1817,2112)
     (1478,1818,2113)(1479,1819,2114)(1480,1820,2115)(1481,1656,1977)(1482,
     1821,2116)(1483,1822,2117)(1484,1823,2118)(1485,1824,2119)(1486,1708,
     2018)(1487,1825,2120)(1488,1826,1616)(1489,1827,2121)(1490,1828,2122)
     (1491,1829,2123)(1492,1830,2124)(1493,1831,1773)(1494,1712,2022)(1495,
     1832,2125)(1496,1833,2126)(1497,1834,1727)(1498,1835,2127)(1500,1837,
     1672)(1501,1838,2128)(1502,1732,2041)(1503,1839,2129)(1504,1840,1612)
     (1505,1841,2130)(1506,1842,2131)(1507,1843,2132)(1508,1844,1686)(1509,
     1744,2051)(1510,1845,2133)(1511,1846,2134)(1512,1847,2135)(1513,1848,
     2136)(1514,1849,2137)(1515,1850,2138)(1516,1851,2139)(1517,1676,1585)
     (1518,1852,2140)(1519,1853,2141)(1520,1854,2142)(1521,1855,1778)(1522,
     1856,2143)(1523,1857,2144)(1524,1858,2145)(1525,1859,2146)(1526,1608,
     1934)(1527,1860,2147)(1528,1861,2148)(1529,1862,2149)(1530,1863,2150)
     (1531,1864,2151)(1532,1865,2152)(1533,1866,2153)(1534,1867,2154)(1535,
     1868,2155)(1536,1869,2156)(1537,1870,2157)(1538,1871,2158)(1539,1872,
     2159)(1540,1873,2160)(1541,1874,2161)(1542,1875,2162)(1543,1876,1591)
     (1545,1877,2163)(1546,1791,1671)(1547,1878,2164)(1548,1879,2165)(1549,
     1880,2166)(1550,1881,2167)(1551,1882,2168)(1552,1883,2169)(1553,1884,
     1753)(1554,1885,2170)(1555,1886,2171)(1556,1887,2172)(1557,1888,2173)
     (1558,1889,2174)(1559,1890,2175)(1560,1891,2176)(1561,1685,1999)(1562,
     1892,2177)(1563,1893,2178)(1564,1894,2179)(1565,1895,2180)(1566,1896,
     2181)(1567,1897,2182)(1568,1898,2183)(1569,1899,2184)(1570,1900,2185)
     (1571,1901,2186)(1572,1902,2187)(1573,1903,1741)(1574,1904,2188)(1575,
     1905,2189)(1576,1906,2190)(1577,1907,2191)(1578,1908,2192)(1579,1909,
     2193)(1580,1910,2194)(1581,1911,2195)(1582,1912,2196)(1583,1913,2197)
     (1584,1914,2198)(1586,1915,2199)(1587,1665,1985)(1588,1916,2200)(1590,
     1918,2201)(1592,1919,2202)(1593,1920,2203)(1594,1921,2204)(1595,1922,
     2205)(1596,1923,2206)(1597,1924,2207)(1598,1925,2208)(1599,1926,2209)
     (1600,1927,2210)(1601,1716,2026)(1602,1928,2211)(1603,1929,2212)(1604,
     1930,2213)(1605,1931,2214)(1606,1932,2215)(1607,1933,2216)(1609,1935,
     2217)(1610,1936,2218)(1611,1937,2219)(1613,1938,2220)(1614,1939,2221)
     (1615,1940,2222)(1617,1941,1687)(1618,1942,2223)(1619,1943,2224)(1620,
     1944,2225)(1622,1945,2226)(1623,1946,2227)(1624,1947,2228)(1625,1948,
     1706)(1626,1949,1650)(1627,1950,2229)(1628,1951,2230)(1629,1952,2231)
     (1630,1953,2232)(1631,1954,2233)(1632,1955,2234)(1633,1956,2235)(1634,
     1957,2236)(1635,1958,2237)(1636,1959,2238)(1637,1960,1760)(1638,1961,
     2239)(1639,1962,2240)(1640,1963,2241)(1641,1964,2242)(1642,1965,2243)
     (1643,1966,2244)(1644,1967,2245)(1645,1968,2246)(1646,1969,2247)(1647,
     1970,2248)(1648,1971,2249)(1649,1972,2250)(1651,1973,2251)(1654,1975,
     2252)(1655,1976,2253)(1657,1978,2254)(1658,1979,2255)(1659,1980,2256)
     (1660,1981,2257)(1661,1982,2258)(1662,1715,2025)(1663,1983,2259)(1664,
     1984,1669)(1666,1783,2082)(1667,1986,2260)(1668,1987,2261)(1670,1988,
     2262)(1673,1989,2263)(1674,1990,2264)(1675,1991,1693)(1677,1992,2265)
     (1679,1993,2266)(1680,1994,2267)(1681,1995,2268)(1682,1996,2269)(1683,
     1997,2270)(1684,1998,2271)(1688,2000,2272)(1689,2001,2273)(1690,2002,
     2274)(1691,2003,2275)(1692,2004,2276)(1694,2005,2277)(1695,2006,2278)
     (1696,2007,2279)(1697,2008,2280)(1698,2009,2281)(1699,2010,2282)(1700,
     2011,2283)(1701,2012,2284)(1702,2013,2285)(1703,2014,2286)(1704,2015,
     2287)(1705,2016,2288)(1707,2017,2289)(1709,2019,2290)(1710,2020,2291)
     (1711,2021,2292)(1713,2023,2293)(1714,2024,2294)(1717,2027,2295)(1718,
     2028,2296)(1719,2029,2297)(1720,2030,2298)(1721,2031,2299)(1722,2032,
     2300)(1723,2033,2301)(1724,2034,2302)(1725,2035,2303)(1726,2036,2304)
     (1728,2037,2305)(1729,2038,2306)(1730,2039,2307)(1731,2040,2308)(1733,
     2042,2309)(1734,2043,2310)(1735,2044,2311)(1736,2045,2312)(1737,2046,
     2313)(1738,2047,2314)(1739,2048,2315)(1740,2049,2316)(1743,2050,2317)
     (1746,2053,2318)(1747,2054,2319)(1748,1772,2075)(1749,2055,2320)(1750,
     2056,2321)(1751,2057,2322)(1752,2058,2323)(1754,2059,2324)(1755,2060,
     1782)(1756,2061,2325)(1757,2062,2326)(1758,2063,2327)(1759,2064,2328)
     (1761,2065,2329)(1762,1768,2071)(1763,2066,2330)(1764,2067,2331)(1765,
     2068,2332)(1766,2069,2333)(1767,2070,2334)(1769,2072,2335)(1770,2073,
     2336)(1771,2074,2337)(1774,2076,2338)(1775,2077,2339)(1776,2078,2340)
     (1777,2079,2341)(1779,1794,2092)(1780,2080,2342)(1781,2081,2343)(1784,
     2083,2344)(1785,2084,2345)(1786,2085,2346)(1787,2086,2347)(1788,2087,
     2348)(1789,2088,2349)(1790,2089,2350)(1792,2090,2351)(1793,2091,2352)
     (1795,2093,2353)(2354,2778,2675)(2355,2779,3072)(2356,2780,2777)(2357,
     2428,2828)(2358,2781,3073)(2359,2480,2860)(2360,2646,2974)(2361,2373,
     2789)(2362,2782,3074)(2363,2624,2960)(2364,2776,2774)(2365,2783,3075)
     (2366,2784,2714)(2367,2785,3076)(2368,2786,2546)(2369,2417,2820)(2370,
     2466,2851)(2371,2787,3077)(2372,2788,3078)(2374,2790,3079)(2375,2791,
     3080)(2376,2737,2609)(2377,2704,2475)(2378,2792,3081)(2379,2793,2415)
     (2380,2794,3082)(2381,2795,3083)(2382,2796,2420)(2383,2797,3084)(2384,
     2798,3085)(2385,2799,3086)(2386,2800,3087)(2387,2498,2875)(2388,2801,
     3088)(2389,2802,3089)(2390,2803,3090)(2391,2617,2594)(2392,2585,2934)
     (2393,2804,3091)(2394,2805,3092)(2395,2447,2575)(2396,2806,3093)(2397,
     2807,3094)(2398,2752,2529)(2399,2808,3095)(2400,2723,3032)(2401,2642,
     2562)(2402,2809,2730)(2403,2810,2528)(2404,2697,3014)(2405,2811,2440)
     (2406,2812,2553)(2407,2813,3096)(2408,2814,3097)(2409,2524,2897)(2410,
     2815,3098)(2411,2775,3071)(2412,2816,3099)(2413,2817,3100)(2414,2818,
     3101)(2416,2819,3102)(2418,2821,3103)(2419,2822,3104)(2421,2823,3105)
     (2422,2824,3106)(2423,2427,2707)(2424,2825,3107)(2425,2826,3108)(2426,
     2827,2542)(2429,2653,2519)(2430,2829,3109)(2431,2568,2923)(2432,2830,
     3110)(2433,2831,3111)(2434,2832,3112)(2435,2833,2605)(2436,2604,2947)
     (2437,2834,3113)(2438,2680,3001)(2439,2835,2592)(2441,2836,3114)(2442,
     2837,2561)(2443,2838,3115)(2444,2685,3005)(2445,2608,2454)(2448,2839,
     3116)(2449,2511,2886)(2450,2840,2571)(2451,2841,3117)(2452,2842,3118)
     (2453,2632,2967)(2455,2843,3119)(2456,2538,2906)(2457,2844,3120)(2458,
     2845,2563)(2459,2846,3121)(2460,2847,3122)(2461,2848,3123)(2462,2600,
     2945)(2463,2684,3004)(2464,2849,3124)(2465,2850,3125)(2467,2852,3126)
     (2468,2731,3038)(2469,2716,2587)(2470,2853,3127)(2471,2854,3128)(2472,
     2855,3129)(2473,2856,3130)(2474,2743,3044)(2476,2857,3131)(2477,2858,
     3132)(2478,2859,3133)(2479,2676,2997)(2481,2861,3134)(2482,2862,3135)
     (2483,2863,3136)(2484,2864,3137)(2485,2865,3138)(2486,2648,2976)(2487,
     2866,3139)(2488,2867,3140)(2489,2868,3141)(2490,2869,3142)(2491,2870,
     3143)(2492,2533,2901)(2493,2552,2627)(2494,2871,3144)(2495,2872,2655)
     (2496,2873,3145)(2497,2874,3146)(2499,2693,3010)(2500,2876,3147)(2501,
     2877,2640)(2502,2878,3148)(2503,2879,3149)(2504,2880,3150)(2505,2651,
     2734)(2506,2881,2691)(2507,2882,2623)(2508,2883,3151)(2509,2884,2557)
     (2510,2885,3152)(2512,2887,3153)(2513,2767,3065)(2514,2888,3154)(2515,
     2889,2635)(2516,2890,3155)(2517,2891,3156)(2518,2892,3157)(2520,2893,
     3158)(2521,2894,3159)(2522,2895,3160)(2523,2896,2643)(2525,2593,2940)
     (2526,2898,3161)(2527,2690,2641)(2530,2610,2950)(2531,2899,3162)(2532,
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