q1 := (1,2,4)(3,5,8)(6,9,13)(7,10,15)(11,16,22)(12,17,24)(14,19,26)(18,25,32)
     (20,27,35)(21,28,37)(23,30,40)(29,38,48)(31,41,52)(33,42,54)(34,43,56)
     (36,45,59)(39,49,62)(44,57,70)(46,60,74)(47,61,76)(50,63,51)(53,65,81)
     (55,67,84)(58,71,87)(64,79,80)(66,82,98)(68,85,102)(69,86,104)(72,88,107)
     (73,89,109)(75,91,112)(77,93,115)(78,94,117)(83,99,121)(90,110,133)(92,
     113,137)(95,118,143)(96,119,145)(97,120,147)(100,122,150)(101,123,152)
     (103,125,155)(105,127,158)(106,128,159)(108,130,162)(111,134,165)(114,
     138,170)(116,140,173)(124,153,187)(126,156,191)(129,160,196)(131,163,200)
     (132,164,202)(135,166,205)(136,167,207)(139,171,211)(141,174,215)(142,
     175,217)(144,177,220)(146,179,223)(148,181,226)(149,182,228)(151,184,231)
     (154,188,234)(157,192,239)(161,197,243)(168,208,255)(169,209,256)(172,
     212,258)(176,218,264)(178,221,268)(180,224,272)(183,229,278)(185,232,282)
     (186,233,284)(189,235,287)(190,236,289)(193,240,294)(194,241,295)(195,
     242,297)(198,244,300)(199,245,302)(201,247,305)(203,249,308)(204,250,310)
     (206,252,313)(210,257,318)(213,259,321)(214,260,323)(216,261,324)(219,
     265,329)(222,269,332)(225,273,337)(227,275,340)(230,279,343)(237,290,355)
     (238,291,356)(246,303,368)(248,306,371)(251,311,377)(253,314,381)(254,
     315,383)(262,325,394)(263,326,395)(266,330,399)(267,331,401)(270,333,404)
     (271,334,406)(274,338,411)(276,341,415)(277,342,417)(280,344,420)(281,
     345,422)(283,347,425)(285,349,428)(286,350,430)(288,352,433)(292,357,438)
     (293,358,440)(296,360,443)(298,362,446)(299,363,448)(301,365,451)(304,
     369,453)(307,372,457)(309,374,460)(312,378,463)(316,384,470)(317,385,472)
     (319,387,474)(320,388,476)(322,390,479)(327,396,328)(335,407,496)(336,
     408,497)(339,412,500)(346,423,512)(348,426,516)(351,431,522)(353,434,526)
     (354,435,528)(359,441,534)(361,444,538)(364,449,544)(366,391,480)(367,
     452,548)(370,454,551)(373,458,556)(375,461,560)(376,462,562)(379,464,565)
     (380,465,567)(382,467,570)(386,400,473)(389,477,580)(392,481,585)(393,
     482,587)(397,486,592)(398,487,594)(402,490,598)(403,491,600)(405,493,603)
     (409,498,608)(410,499,610)(413,501,613)(414,502,615)(416,504,618)(418,
     506,621)(419,507,623)(421,509,625)(424,513,627)(427,517,632)(429,519,635)
     (432,523,638)(436,529,644)(437,530,646)(439,531,647)(442,535,650)(445,
     539,655)(447,541,658)(450,545,661)(455,552,669)(456,553,670)(459,557,673)
     (466,568,684)(468,571,688)(469,572,690)(471,574,511)(475,577,695)(478,
     581,698)(483,588,704)(484,589,705)(485,590,707)(488,595,576)(489,596,714)
     (492,601,720)(494,604,724)(495,605,726)(503,616,737)(505,619,741)(508,
     624,745)(510,626,748)(514,628,751)(515,629,753)(518,633,758)(520,636,762)
     (521,637,764)(524,639,525)(527,641,768)(532,648,775)(533,649,777)(536,
     651,780)(537,652,782)(540,656,787)(542,659,791)(543,660,793)(546,662,584)
     (547,663,797)(549,665,800)(550,666,801)(554,671,806)(555,672,808)(558,
     674,811)(559,675,813)(561,677,815)(563,679,818)(564,680,820)(566,682,823)
     (569,685,825)(573,691,832)(575,693,835)(578,696,838)(579,697,840)(582,
     699,843)(583,700,845)(586,702,848)(591,708,854)(593,710,857)(597,715,862)
     (599,717,865)(602,721,867)(606,727,874)(607,728,876)(609,730,879)(611,
     732,882)(612,733,884)(614,735,887)(617,738,889)(620,742,894)(622,743,895)
     (630,754,906)(631,755,907)(634,759,910)(640,766,918)(642,769,922)(643,
     770,924)(645,772,927)(653,783,939)(654,784,940)(657,788,943)(664,798,954)
     (667,802,958)(668,803,960)(676,814,972)(678,816,974)(681,821,980)(683,
     824,983)(686,826,986)(687,827,988)(689,829,991)(692,833,994)(694,712,858)
     (701,846,1005)(703,849,1009)(706,851,1012)(709,855,1017)(711,779,934)
     (713,859,1022)(716,863,1027)(718,866,842)(719,841,1001)(722,868,1033)
     (723,869,1035)(725,871,1038)(729,877,1045)(731,880,1049)(734,885,1055)
     (736,888,1058)(739,890,1061)(740,891,1063)(744,896,1069)(746,897,1071)
     (747,898,1073)(749,900,1076)(750,901,1078)(752,903,1081)(756,908,1086)
     (757,909,1088)(760,911,1091)(761,912,1093)(763,914,1096)(765,916,1099)
     (767,919,1101)(771,925,1107)(773,928,1111)(774,929,1113)(776,931,1116)
     (778,933,1119)(781,936,1123)(785,941,1128)(786,942,973)(789,944,1132)
     (790,945,1134)(792,947,1135)(794,949,1138)(795,950,1140)(796,951,1141)
     (799,955,1146)(804,961,1153)(805,962,1155)(807,964,1158)(809,966,1161)
     (810,967,1163)(812,969,1165)(817,975,1170)(819,977,1173)(822,981,1176)
     (828,989,990)(830,992,1187)(831,993,1189)(834,899,1074)(836,996,1193)
     (837,997,1195)(839,999,1198)(844,1003,1203)(847,1006,1205)(850,1010,1210)
     (852,1013,1214)(853,1014,1216)(856,1018,1219)(860,1023,1224)(861,1024,
     1225)(864,1028,1228)(870,1036,1236)(872,1039,1240)(873,1040,1242)(875,
     1042,1245)(878,1046,1248)(881,1050,1253)(883,1052,1256)(886,1056,1259)
     (892,1064,1267)(893,1065,1268)(902,1079,1283)(904,1082,1286)(905,1083,
     1288)(913,1094,1300)(915,1097,1304)(917,1100,946)(920,1034,1233)(921,
     1102,1309)(923,1104,1312)(926,1108,1315)(930,1114,1115)(932,1117,1324)
     (935,1121,1329)(937,1124,1144)(938,1125,1334)(948,1136,1344)(952,1142,
     1351)(953,1143,1353)(956,1147,1355)(957,1148,1357)(959,1150,1360)(963,
     1156,1367)(965,1159,1370)(968,1164,1375)(970,1166,1378)(971,1167,1130)
     (976,1171,1384)(978,1174,1388)(979,1175,1390)(982,1177,1393)(984,1179,
     1396)(985,1180,1398)(987,1182,1401)(995,1191,1021)(998,1196,1415)(1000,
     1199,1419)(1002,1201,1422)(1004,1204,1425)(1007,1206,1428)(1008,1207,
     1429)(1011,1211,1432)(1015,1217,1437)(1016,1218,1439)(1019,1220,1442)
     (1020,1221,1444)(1025,1226,1449)(1026,1227,1451)(1029,1229,1454)(1030,
     1230,1456)(1031,1231,1458)(1032,1062,1264)(1037,1237,1463)(1041,1243,
     1470)(1043,1246,1474)(1044,1247,1476)(1047,1249,1479)(1048,1250,1481)
     (1051,1254,1486)(1053,1257,1490)(1054,1258,1492)(1057,1260,1495)(1059,
     1261,1497)(1060,1262,1499)(1066,1269,1392)(1067,1270,1507)(1068,1271,
     1509)(1070,1273,1512)(1072,1275,1515)(1075,1278,1518)(1077,1280,1521)
     (1080,1284,1524)(1084,1289,1530)(1085,1290,1532)(1087,1292,1535)(1089,
     1294,1538)(1090,1295,1540)(1092,1297,1543)(1095,1301,1545)(1098,1305,
     1550)(1103,1310,1311)(1105,1313,1558)(1106,1314,1560)(1109,1316,1563)
     (1110,1317,1565)(1112,1319,1568)(1118,1325,1575)(1120,1327,1577)(1122,
     1330,1579)(1126,1335,1585)(1127,1336,1587)(1129,1338,1337)(1131,1266,
     1503)(1133,1340,1591)(1137,1345,1597)(1139,1347,1600)(1145,1332,1581)
     (1149,1358,1610)(1151,1361,1614)(1152,1362,1616)(1154,1364,1619)(1157,
     1368,1622)(1160,1371,1626)(1162,1373,1629)(1168,1380,1636)(1169,1381,
     1637)(1172,1385,1640)(1178,1394,1649)(1181,1399,1655)(1183,1402,1659)
     (1184,1403,1277)(1185,1404,1662)(1186,1405,1664)(1188,1407,1667)(1190,
     1408,1668)(1192,1410,1671)(1194,1412,1674)(1197,1416,1677)(1200,1420,
     1682)(1202,1423,1684)(1208,1430,1691)(1209,1431,1693)(1212,1433,1696)
     (1213,1434,1698)(1215,1435,1699)(1222,1445,1710)(1223,1446,1712)(1232,
     1459,1726)(1234,1461,1729)(1235,1462,1731)(1238,1464,1733)(1239,1465,
     1735)(1241,1467,1738)(1244,1471,1741)(1251,1482,1753)(1252,1483,1754)
     (1255,1487,1756)(1263,1500,1769)(1265,1502,1772)(1272,1510,1511)(1274,
     1513,1781)(1276,1516,1661)(1279,1519,1788)(1281,1522,1792)(1282,1523,
     1794)(1285,1525,1484)(1287,1527,1799)(1291,1533,1806)(1293,1536,1809)
     (1296,1541,1813)(1298,1400,1656)(1299,1544,1817)(1302,1546,1819)(1303,
     1547,1821)(1306,1551,1496)(1307,1552,1777)(1308,1553,1828)(1318,1566,
     1842)(1320,1569,1846)(1321,1570,1848)(1322,1571,1850)(1323,1572,1852)
     (1326,1576,1855)(1328,1578,1706)(1331,1580,1858)(1333,1582,1860)(1339,
     1589,1867)(1341,1592,1871)(1342,1593,1873)(1343,1594,1875)(1346,1598,
     1880)(1348,1601,1884)(1349,1602,1885)(1350,1603,1795)(1352,1605,1888)
     (1354,1606,1890)(1356,1608,1893)(1359,1611,1895)(1363,1617,1902)(1365,
     1620,1906)(1366,1621,1908)(1369,1623,1910)(1372,1627,1915)(1374,1630,
     1919)(1376,1631,1921)(1377,1632,1923)(1379,1634,1504)(1382,1638,1928)
     (1383,1639,1930)(1386,1641,1932)(1387,1642,1933)(1389,1644,1936)(1391,
     1646,1938)(1395,1650,1943)(1397,1652,1946)(1406,1665,1956)(1409,1669,
     1960)(1411,1672,1964)(1413,1675,1967)(1414,1676,1969)(1417,1678,1972)
     (1418,1679,1974)(1421,1683,1979)(1424,1685,1981)(1426,1687,1898)(1427,
     1688,1984)(1436,1700,1997)(1438,1702,2000)(1440,1704,1808)(1441,1705,
     2003)(1443,1707,1931)(1447,1713,2010)(1448,1714,2012)(1450,1716,2015)
     (1452,1718,2018)(1453,1719,2019)(1455,1721,1645)(1457,1723,2024)(1460,
     1727,2026)(1466,1736,1737)(1468,1739,2034)(1469,1740,2036)(1472,1742,
     2039)(1473,1743,2040)(1475,1745,2043)(1477,1747,2046)(1478,1748,2048)
     (1480,1750,2051)(1485,1755,2055)(1488,1757,2058)(1489,1758,2059)(1491,
     1760,2062)(1493,1762,2064)(1494,1763,2065)(1498,1766,2069)(1501,1770,
     2072)(1505,1695,1991)(1506,1774,2076)(1508,1776,1728)(1514,1782,2080)
     (1517,1785,1958)(1520,1789,2037)(1526,1797,2090)(1528,1800,2094)(1529,
     1801,1886)(1531,1803,2098)(1534,1807,1856)(1537,1810,2103)(1539,1567,
     1843)(1542,1814,2105)(1548,1822,2113)(1549,1823,1663)(1554,1829,2117)
     (1555,1830,2119)(1556,1831,2121)(1557,1832,1604)(1559,1834,2124)(1561,
     1836,2127)(1562,1837,2129)(1564,1839,2132)(1573,1853,2141)(1574,1854,
     2142)(1583,1861,2148)(1584,1862,2150)(1586,1864,2153)(1590,1868,2155)
     (1595,1876,2161)(1596,1877,2162)(1599,1881,2165)(1607,1891,2171)(1609,
     1894,2174)(1612,1896,2176)(1613,1897,2178)(1615,1899,2179)(1618,1903,
     2181)(1624,1911,2187)(1625,1912,2188)(1628,1916,2191)(1633,1924,2198)
     (1635,1926,2201)(1643,1934,2208)(1647,1939,2214)(1648,1940,2216)(1651,
     1944,2221)(1653,1947,2225)(1654,1948,2227)(1657,1949,2228)(1658,1950,
     2230)(1660,1952,2233)(1666,1957,1845)(1670,1961,2240)(1673,1965,2243)
     (1680,1975,2253)(1681,1976,1734)(1686,1982,2258)(1689,1985,2262)(1690,
     1986,1783)(1692,1988,2266)(1694,1990,2269)(1697,1993,2273)(1701,1998,
     2278)(1703,2001,2282)(1708,2004,2285)(1709,2005,2287)(1711,2007,2289)
     (1715,2013,2296)(1717,2016,2300)(1720,2020,2304)(1722,2022,2307)(1724,
     2025,1771)(1725,1968,2245)(1730,2027,2312)(1732,2029,2315)(1744,2041,
     2325)(1746,2044,2329)(1749,2049,2335)(1751,2052,2324)(1752,2053,1980)
     (1759,2060,2344)(1761,2056,2341)(1764,2066,2350)(1765,2067,2352)(1767,
     2070,2356)(1768,2071,2358)(1773,2074,1866)(1775,2077,2365)(1778,2079,
     2368)(1779,1954,2235)(1780,1971,2248)(1784,2081,2371)(1786,1844,1811)
     (1787,2082,2372)(1790,2083,2373)(1791,2084,2375)(1793,2086,2378)(1796,
     2088,2381)(1798,2091,2382)(1802,2096,2387)(1804,2099,2391)(1805,2100,
     2393)(1812,2104,2314)(1815,2106,2398)(1816,2107,2311)(1818,2108,2160)
     (1820,2110,2401)(1824,1953,2234)(1825,2114,2405)(1826,2115,2406)(1827,
     2116,2407)(1833,2087,2379)(1835,2125,2416)(1838,2130,2131)(1840,2133,
     2424)(1841,2134,2426)(1847,2136,1909)(1849,2137,2429)(1851,2139,2432)
     (1857,2143,2436)(1859,2145,2439)(1863,2151,2445)(1865,2154,2200)(1869,
     2156,1870)(1872,2157,2449)(1874,2159,2452)(1878,2163,2455)(1879,2164,
     2457)(1882,2166,2460)(1883,2167,2462)(1887,2122,2413)(1889,2169,2464)
     (1892,2172,2255)(1900,2180,1901)(1904,2182,2475)(1905,2183,2477)(1907,
     2185,2480)(1913,2189,2483)(1914,2190,1927)(1917,2192,2486)(1918,2193,
     2488)(1920,2195,2491)(1922,2197,2494)(1925,2199,2495)(1929,2203,2499)
     (1935,2209,2504)(1937,2211,2507)(1941,2217,2513)(1942,2218,2514)(1945,
     2222,2517)(1951,2231,2526)(1955,2236,2531)(1959,2237,2533)(1962,2241,
     2538)(1963,2242,2540)(1966,2244,2541)(1970,2247,2544)(1973,2250,2530)
     (1977,2030,2316)(1978,2254,2550)(1983,2259,2554)(1987,2264,2265)(1989,
     2267,2561)(1992,2271,2564)(1994,2274,2568)(1995,2275,2570)(1996,2276,
     2572)(1999,2279,2574)(2002,2283,2577)(2006,2288,2581)(2008,2290,2583)
     (2009,2291,2585)(2011,2293,2586)(2014,2297,2589)(2017,2301,2593)(2021,
     2305,2596)(2023,2308,2599)(2028,2313,2496)(2031,2317,2605)(2032,2318,
     2606)(2033,2319,2469)(2035,2321,2610)(2038,2102,2395)(2042,2326,2612)
     (2045,2330,2616)(2047,2332,2619)(2050,2336,2622)(2054,2339,2625)(2057,
     2342,2109)(2061,2345,2630)(2063,2347,2632)(2068,2353,2636)(2073,2360,
     2644)(2075,2362,2646)(2078,2366,2649)(2085,2376,2657)(2089,2170,2465)
     (2092,2383,2664)(2093,2384,2524)(2095,2386,2668)(2097,2388,2323)(2101,
     2394,2675)(2111,2402,2681)(2112,2403,2683)(2118,2409,2688)(2120,2411,
     2422)(2123,2414,2692)(2126,2417,2696)(2128,2419,2699)(2135,2427,2707)
     (2138,2430,2710)(2140,2433,2714)(2144,2437,2717)(2146,2440,2721)(2147,
     2441,2723)(2149,2443,2726)(2152,2446,2728)(2158,2450,2733)(2168,2453,
     2736)(2173,2466,2747)(2175,2468,2750)(2177,2470,2752)(2184,2478,2761)
     (2186,2481,2522)(2194,2489,2490)(2196,2492,2768)(2202,2497,2771)(2204,
     2500,2774)(2205,2501,2776)(2206,2502,2777)(2207,2503,2779)(2210,2505,
     2782)(2212,2281,2575)(2213,2508,2785)(2215,2510,2674)(2219,2515,2791)
     (2220,2516,2793)(2223,2518,2796)(2224,2519,2798)(2226,2521,2801)(2229,
     2523,2803)(2232,2527,2805)(2238,2534,2639)(2239,2535,2529)(2246,2542,
     2815)(2249,2546,2818)(2251,2547,2819)(2252,2548,2820)(2256,2551,2822)
     (2257,2552,2824)(2260,2555,2827)(2261,2556,2829)(2263,2557,2831)(2268,
     2562,2837)(2270,2563,2838)(2272,2565,2839)(2277,2573,2848)(2280,2559,
     2833)(2284,2578,2404)(2286,2355,2638)(2292,2377,2658)(2294,2587,2856)
     (2295,2588,2857)(2298,2590,2860)(2299,2591,2861)(2302,2594,2864)(2303,
     2595,2865)(2306,2597,2867)(2309,2600,2870)(2310,2601,2872)(2320,2608,
     2880)(2322,2611,2654)(2327,2613,2885)(2328,2614,2887)(2331,2617,2890)
     (2333,2620,2894)(2334,2621,2895)(2337,2623,2897)(2338,2351,2635)(2340,
     2626,2899)(2343,2629,2902)(2346,2400,2628)(2348,2633,2821)(2349,2634,
     2907)(2354,2637,2553)(2357,2640,2910)(2359,2642,2814)(2361,2645,2914)
     (2363,2647,2916)(2364,2648,2918)(2367,2650,2920)(2369,2651,2921)(2370,
     2652,2923)(2374,2655,2883)(2380,2660,2912)(2385,2666,2667)(2389,2669,
     2934)(2390,2670,2936)(2392,2672,2917)(2396,2676,2940)(2397,2677,2942)
     (2399,2678,2943)(2408,2686,2950)(2410,2689,2954)(2412,2690,2956)(2415,
     2693,2959)(2418,2697,2964)(2420,2700,2968)(2421,2701,2876)(2423,2702,
     2580)(2425,2704,2972)(2428,2708,2975)(2431,2711,2976)(2434,2715,2981)
     (2435,2673,2939)(2438,2718,2982)(2442,2724,2725)(2444,2727,2990)(2447,
     2729,2941)(2448,2730,2994)(2451,2734,2996)(2454,2737,3000)(2456,2739,
     3003)(2458,2740,3005)(2459,2741,3007)(2461,2743,2906)(2463,2744,3011)
     (2467,2748,3015)(2471,2753,3018)(2472,2754,3019)(2473,2755,3021)(2474,
     2756,3023)(2476,2758,3025)(2479,2762,3028)(2482,2609,2881)(2484,2512,
     2789)(2485,2764,2716)(2487,2766,3033)(2493,2769,3035)(2498,2772,3037)
     (2506,2783,2576)(2509,2786,3045)(2511,2788,2884)(2520,2799,3055)(2525,
     2804,3060)(2528,2806,2532)(2536,2809,3066)(2537,2810,3068)(2539,2812,
     3071)(2543,2816,2830)(2545,2817,3075)(2549,2598,2868)(2558,2832,2680)
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