q1 := (1,2,4)(3,5,7)(6,8,11)(9,12,16)(10,13,17)(14,18,22)(15,19,24)(20,25,31)
     (21,26,33)(23,28,36)(27,34,43)(29,37,47)(30,38,49)(32,40,52)(35,44,55)
     (39,50,62)(41,53,66)(42,54,68)(45,56,71)(46,57,73)(48,59,76)(51,63,79)
     (58,74,75)(60,77,93)(61,78,95)(64,80,98)(65,81,100)(67,83,103)(69,85,106)
     (70,86,108)(72,88,111)(82,101,125)(84,104,129)(87,109,135)(89,112,139)
     (90,113,141)(91,114,143)(92,115,145)(94,117,148)(96,119,151)(97,120,153)
     (99,122,156)(102,126,159)(105,130,164)(107,132,167)(110,136,170)(116,146,
     181)(118,149,185)(121,154,191)(123,157,195)(124,158,197)(127,160,200)
     (128,161,202)(131,165,206)(133,168,210)(134,169,212)(137,171,215)(138,
     172,217)(140,174,180)(142,176,222)(144,178,225)(147,182,227)(150,186,232)
     (152,188,235)(155,192,238)(162,163,203)(166,207,251)(173,218,263)(175,
     220,266)(177,223,269)(179,226,273)(183,228,276)(184,229,278)(187,233,283)
     (189,236,287)(190,237,289)(193,239,292)(194,240,294)(196,242,296)(198,
     244,299)(199,245,301)(201,247,304)(204,249,307)(205,250,309)(208,252,312)
     (209,253,314)(211,255,317)(213,257,320)(214,258,322)(216,260,325)(219,
     264,328)(221,265,329)(224,270,332)(230,279,341)(231,280,342)(234,284,345)
     (241,262,327)(243,297,358)(246,302,364)(248,305,368)(254,315,379)(256,
     318,383)(259,323,389)(261,326,392)(267,330,395)(268,331,397)(271,333,399)
     (272,334,401)(274,335,403)(275,336,405)(277,338,407)(281,343,412)(282,
     344,414)(285,346,417)(286,347,419)(288,349,422)(290,351,425)(291,352,427)
     (293,354,430)(295,355,431)(298,359,436)(300,361,439)(303,365,442)(306,
     369,447)(308,371,450)(310,373,453)(311,374,455)(313,376,458)(316,380,461)
     (319,384,466)(321,386,469)(324,390,472)(337,356,432)(339,408,491)(340,
     409,493)(348,420,505)(350,423,509)(353,428,515)(357,433,519)(360,437,524)
     (362,440,528)(363,441,530)(366,443,533)(367,444,535)(370,448,539)(372,
     451,543)(375,456,549)(377,459,553)(378,460,555)(381,462,558)(382,463,560)
     (385,467,565)(387,470,569)(388,471,571)(391,473,574)(393,475,576)(394,
     476,578)(396,478,581)(398,480,584)(400,482,587)(402,484,589)(404,486,591)
     (406,488,593)(410,494,600)(411,495,602)(413,497,501)(415,499,607)(416,
     500,609)(418,502,611)(421,506,614)(424,510,619)(426,512,622)(429,516,625)
     (434,520,629)(435,521,630)(438,525,633)(445,536,446)(449,540,646)(452,
     544,651)(454,546,654)(457,550,657)(464,561,669)(465,562,670)(468,566,673)
     (474,575,683)(477,579,688)(479,582,583)(481,585,694)(483,490,595)(485,
     590,698)(487,592,518)(489,594,703)(492,597,705)(496,603,712)(498,605,715)
     (503,612,722)(504,613,724)(507,615,727)(508,616,729)(511,620,734)(513,
     623,738)(514,624,739)(517,626,741)(522,631,746)(523,632,748)(526,634,751)
     (527,635,753)(529,637,756)(531,638,757)(532,639,759)(534,641,762)(537,
     644,765)(538,645,767)(541,647,770)(542,648,772)(545,652,777)(547,655,781)
     (548,656,783)(551,658,786)(552,659,642)(554,661,790)(556,663,793)(557,
     664,795)(559,666,797)(563,671,802)(564,672,804)(567,674,807)(568,675,809)
     (570,677,812)(572,679,815)(573,680,816)(577,685,820)(580,689,822)(586,
     695,827)(588,684,819)(596,704,835)(598,706,837)(599,707,839)(601,709,842)
     (604,713,610)(606,716,848)(608,718,851)(617,730,863)(618,731,864)(621,
     735,867)(627,742,874)(628,743,876)(636,754,888)(640,760,895)(643,763,899)
     (649,773,909)(650,774,910)(653,778,913)(660,788,923)(662,791,927)(665,
     775,911)(667,798,935)(668,799,937)(676,810,949)(678,813,953)(681,817,958)
     (682,818,959)(686,821,963)(687,766,901)(690,823,966)(691,824,968)(692,
     825,970)(693,826,972)(696,828,975)(697,829,977)(699,830,700)(701,831,980)
     (702,832,982)(708,840,990)(710,843,994)(711,844,995)(714,845,997)(717,
     849,1002)(719,852,1006)(720,853,1008)(721,854,1010)(723,856,1013)(725,
     858,1016)(726,847,999)(728,860,920)(732,865,1023)(733,866,1025)(736,868,
     785)(737,784,919)(740,871,1031)(744,877,1038)(745,878,1040)(747,880,1043)
     (749,882,1046)(750,883,1048)(752,885,1051)(755,889,1054)(758,892,1058)
     (761,896,1061)(764,900,1066)(768,903,1068)(769,904,1070)(771,906,1073)
     (776,912,1078)(779,914,1081)(780,915,1083)(782,917,1086)(787,921,1090)
     (789,924,1092)(792,928,1097)(794,930,1100)(796,932,1102)(800,938,1095)
     (801,939,1110)(803,941,1112)(805,943,1115)(806,944,1117)(808,946,1120)
     (811,950,1123)(814,954,1128)(833,983,1157)(834,984,1159)(836,985,1161)
     (838,987,1164)(841,991,1167)(846,998,1174)(850,1003,1177)(855,1011,1185)
     (857,1014,1189)(859,1017,1193)(861,1019,1196)(862,1020,1198)(869,1028,
     1207)(870,1029,1208)(872,1032,1212)(873,1033,1214)(875,1035,1217)(879,
     1041,1223)(881,1044,1227)(884,1049,1233)(886,1052,1237)(887,1053,1239)
     (890,1055,940)(891,1056,1242)(893,1059,1246)(894,1060,1248)(897,1062,
     1251)(898,1063,1253)(902,1067,1257)(905,1071,1262)(907,1074,1266)(908,
     1075,1268)(916,1084,1277)(918,1087,1281)(922,1091,1285)(925,1093,1288)
     (926,1094,1290)(929,1098,1293)(931,1101,1077)(933,1103,1299)(934,1104,
     1301)(936,1106,1304)(942,1113,1311)(945,1118,1317)(947,1121,1321)(948,
     1122,1323)(951,1124,1326)(952,1125,1328)(955,1129,1333)(956,1130,1334)
     (957,1131,1336)(960,1133,1339)(961,1134,1340)(962,1135,1342)(964,1137,
     1345)(965,1138,1347)(967,1140,1350)(969,1142,1353)(971,1144,993)(973,
     1146,1357)(974,1147,1359)(976,1149,1362)(978,1151,1365)(979,1152,1366)
     (981,1154,1369)(986,1162,1163)(988,1165,1378)(989,1166,1380)(992,1168,
     1383)(996,1171,1386)(1000,1175,1390)(1001,1176,1392)(1004,1178,1394)
     (1005,1179,1396)(1007,1180,1398)(1009,1182,1401)(1012,1186,1403)(1015,
     1190,1408)(1018,1194,1089)(1021,1199,1415)(1022,1200,1308)(1024,1202,
     1418)(1026,1204,1420)(1027,1205,1422)(1030,1209,1426)(1034,1215,1431)
     (1036,1218,1435)(1037,1219,1437)(1039,1220,1438)(1042,1224,1309)(1045,
     1228,1445)(1047,1230,1448)(1050,1234,1451)(1057,1243,1458)(1064,1254,
     1468)(1065,1255,1470)(1069,1259,1474)(1072,1263,1477)(1076,1269,1484)
     (1079,1271,1487)(1080,1272,1489)(1082,1274,1492)(1085,1278,1495)(1088,
     1282,1500)(1096,1108,1306)(1099,1294,1507)(1105,1302,1516)(1107,1305,
     1520)(1109,1307,1522)(1111,1241,1457)(1114,1312,1526)(1116,1314,1529)
     (1119,1318,1531)(1126,1329,1543)(1127,1330,1544)(1132,1337,1550)(1136,
     1343,1256)(1139,1348,1562)(1141,1351,1566)(1143,1354,1569)(1145,1355,
     1482)(1148,1360,1158)(1150,1363,1364)(1153,1367,1582)(1155,1370,1586)
     (1156,1371,1588)(1160,1373,1591)(1169,1384,1603)(1170,1385,1605)(1172,
     1387,1608)(1173,1388,1610)(1181,1399,1619)(1183,1265,1479)(1184,1402,
     1623)(1187,1404,1626)(1188,1405,1628)(1191,1247,1389)(1192,1409,1633)
     (1195,1410,1578)(1197,1412,1637)(1201,1416,1641)(1203,1419,1645)(1206,
     1423,1650)(1210,1427,1655)(1211,1428,1657)(1213,1429,1395)(1216,1432,
     1660)(1221,1439,1664)(1222,1440,1666)(1225,1441,1668)(1226,1442,1670)
     (1229,1446,1675)(1231,1449,1679)(1232,1450,1681)(1235,1452,1684)(1236,
     1453,1514)(1238,1349,1563)(1240,1456,1689)(1244,1459,1315)(1245,1460,
     1694)(1249,1463,1698)(1250,1464,1700)(1252,1283,1501)(1258,1472,1707)
     (1260,1475,1711)(1261,1476,1713)(1264,1478,1716)(1267,1481,1720)(1270,
     1485,1723)(1273,1490,1729)(1275,1493,1733)(1276,1494,1735)(1279,1496,
     1738)(1280,1497,1740)(1284,1465,1701)(1286,1503,1747)(1287,1504,1749)
     (1289,1332,1546)(1291,1505,1751)(1292,1506,1753)(1295,1508,1756)(1296,
     1509,1758)(1297,1510,1760)(1298,1511,1761)(1300,1513,1764)(1303,1517,
     1766)(1310,1523,1773)(1313,1527,1778)(1316,1530,1782)(1319,1532,1785)
     (1320,1533,1787)(1322,1535,1790)(1324,1537,1793)(1325,1538,1795)(1327,
     1540,1798)(1331,1545,1803)(1335,1547,1805)(1338,1551,1808)(1341,1554,
     1812)(1344,1557,1815)(1346,1559,1817)(1352,1567,1823)(1356,1571,1824)
     (1358,1573,1827)(1361,1576,1831)(1368,1583,1653)(1372,1589,1590)(1374,
     1592,1843)(1375,1593,1625)(1376,1594,1846)(1377,1595,1848)(1379,1597,
     1851)(1381,1599,1854)(1382,1600,1856)(1391,1612,1864)(1393,1614,1867)
     (1397,1616,1869)(1400,1620,1871)(1406,1629,1879)(1407,1630,1880)(1411,
     1635,1884)(1413,1638,1888)(1414,1639,1890)(1417,1642,1891)(1421,1647,
     1897)(1424,1651,1902)(1425,1652,1903)(1430,1659,1568)(1433,1661,1909)
     (1434,1662,1911)(1436,1632,1882)(1443,1671,1921)(1444,1672,1922)(1447,
     1676,1925)(1454,1686,1564)(1455,1687,1935)(1461,1695,1611)(1462,1696,
     1941)(1466,1702,1948)(1467,1703,1950)(1469,1704,1951)(1471,1706,1604)
     (1473,1708,1954)(1480,1718,1965)(1483,1721,1968)(1486,1724,1972)(1488,
     1726,1975)(1491,1730,1878)(1498,1741,1986)(1499,1742,1987)(1502,1745,
     1991)(1512,1762,2007)(1515,1765,2011)(1518,1767,2014)(1519,1768,2016)
     (1521,1770,1750)(1524,1774,2022)(1525,1775,2023)(1528,1779,2026)(1534,
     1788,2036)(1536,1791,2039)(1539,1796,2045)(1541,1799,2049)(1542,1800,
     2051)(1548,1806,2057)(1549,1719,1966)(1552,1809,2061)(1553,1810,2063)
     (1555,1607,1859)(1556,1813,1953)(1558,1784,2031)(1560,1818,2071)(1561,
     1819,2073)(1565,1820,2034)(1570,1601,1857)(1572,1825,2078)(1574,1828,
     2082)(1575,1829,2083)(1577,1832,2087)(1579,1833,1658)(1580,1834,2090)
     (1581,1835,2092)(1584,1836,2094)(1585,1837,2095)(1587,1838,2041)(1596,
     1849,2105)(1598,1852,2109)(1602,1858,2114)(1606,1649,1899)(1609,1861,
     2118)(1613,1865,2122)(1615,1868,2125)(1617,1870,2128)(1618,1699,1944)
     (1621,1872,2131)(1622,1873,1801)(1624,1875,1845)(1627,1876,2136)(1631,
     1881,2140)(1634,1648,1898)(1636,1885,2143)(1640,1839,1691)(1643,1892,
     2149)(1644,1893,2151)(1646,1895,2154)(1654,1904,2162)(1656,1905,2164)
     (1663,1912,2169)(1665,1914,2171)(1667,1916,2174)(1669,1918,2176)(1673,
     1923,2181)(1674,1924,2183)(1677,1926,2186)(1678,1927,2135)(1680,1844,
     2100)(1682,1929,2190)(1683,1930,2192)(1685,1932,2194)(1688,1936,2198)
     (1690,1938,2201)(1692,1792,2040)(1693,1780,2027)(1697,1942,2206)(1705,
     1952,1814)(1709,1955,2218)(1710,1956,2220)(1712,1958,2222)(1714,1960,
     2224)(1715,1961,2226)(1717,1963,2229)(1722,1969,2233)(1725,1973,2236)
     (1727,1976,2240)(1728,1977,2242)(1731,1978,2244)(1732,1979,2245)(1734,
     1981,2248)(1736,1982,2249)(1737,1794,2042)(1739,1984,2251)(1743,1988,
     2255)(1744,1989,2256)(1746,1992,2260)(1748,1994,2184)(1752,1996,2265)
     (1754,1998,2268)(1755,1999,2270)(1757,2001,2273)(1759,2003,2275)(1763,
     2008,2278)(1769,2017,2018)(1771,2019,2289)(1772,1915,2172)(1776,2024,
     2294)(1777,2025,2296)(1781,2028,2108)(1783,2030,2301)(1786,2033,2067)
     (1789,2037,2305)(1797,2046,2309)(1802,2052,2314)(1804,2054,2316)(1807,
     2058,2163)(1811,2064,2321)(1816,2068,2324)(1821,2075,1822)(1826,2079,
     2332)(1830,2084,2337)(1840,2096,2347)(1841,2097,2349)(1842,2098,2351)
     (1847,2102,2355)(1850,2106,2358)(1853,2110,2307)(1855,2111,2361)(1860,
     2116,2367)(1862,2119,2141)(1863,1940,2203)(1866,2123,2375)(1874,2133,
     2386)(1877,2137,2390)(1883,2142,2394)(1886,2144,2397)(1887,2145,2197)
     (1889,1934,2196)(1894,2152,2153)(1896,2155,1906)(1900,2158,2407)(1901,
     2159,2409)(1907,2165,2414)(1908,2166,2099)(1910,2168,2418)(1913,2148,
     2400)(1917,2175,2426)(1919,2177,2429)(1920,2178,2431)(1928,2188,2441)
     (1931,2193,2445)(1933,2195,2447)(1937,2199,2451)(1939,2202,2453)(1943,
     2207,2459)(1945,2209,2380)(1946,2210,2461)(1947,2182,2435)(1949,2212,
     2464)(1957,2185,2437)(1959,2223,2476)(1962,2227,2481)(1964,2230,2484)
     (1967,2113,2363)(1970,2189,2442)(1971,2234,2487)(1974,2237,2489)(1980,
     2246,2499)(1983,2250,2427)(1985,2252,2503)(1990,2257,2507)(1993,2261,
     2512)(1995,2263,2515)(1997,2266,2519)(2000,2271,2525)(2002,2274,2401)
     (2004,2276,2147)(2005,2277,2006)(2009,2279,2531)(2010,2280,2532)(2012,
     2282,2535)(2013,2283,2069)(2015,2285,2538)(2020,2290,2335)(2021,2291,
     2543)(2029,2299,2551)(2032,2302,2555)(2035,2304,2558)(2038,2306,2360)
     (2043,2308,2561)(2044,2300,2552)(2047,2310,2564)(2048,2150,2402)(2050,
     2312,2567)(2053,2315,2570)(2055,2317,2056)(2059,2319,2574)(2060,2320,
     2576)(2062,2146,2399)(2065,2322,2579)(2066,2323,2581)(2070,2325,2584)
     (2072,2326,2585)(2074,2328,2588)(2076,2330,2590)(2077,2331,2592)(2080,
     2333,2595)(2081,2334,2596)(2085,2338,2600)(2086,2339,2602)(2088,2340,
     2603)(2089,2341,2604)(2091,2343,2607)(2093,2345,2610)(2101,2353,2617)
     (2103,2356,2621)(2104,2357,2623)(2107,2359,2625)(2112,2362,2628)(2115,
     2365,2631)(2117,2368,2633)(2120,2371,2637)(2121,2372,2639)(2124,2376,
     2644)(2126,2378,2479)(2127,2379,2648)(2129,2381,2650)(2130,2382,2652)
     (2132,2384,2654)(2134,2387,2658)(2138,2391,2593)(2139,2392,2191)(2156,
     2404,2559)(2157,2405,2669)(2160,2410,2674)(2161,2344,2608)(2167,2416,
     2680)(2170,2420,2683)(2173,2423,2686)(2179,2432,2693)(2180,2433,2694)
     (2187,2439,2700)(2200,2452,2707)(2204,2455,2711)(2205,2456,2712)(2208,
     2460,2713)(2211,2462,2714)(2213,2465,2716)(2214,2466,2718)(2215,2467,
     2329)(2216,2468,2720)(2217,2469,2722)(2219,2471,2725)(2221,2473,2727)
     (2225,2478,2732)(2228,2482,2734)(2231,2485,2737)(2232,2486,2739)(2235,
     2488,2741)(2238,2490,2744)(2239,2491,2746)(2241,2493,2749)(2243,2495,
     2751)(2247,2500,2754)(2253,2428,2689)(2254,2504,2758)(2258,2508,2762)
     (2259,2509,2763)(2262,2513,2765)(2264,2516,2767)(2267,2520,2771)(2269,
     2522,2774)(2272,2526,2777)(2281,2533,2782)(2284,2536,2785)(2286,2539,
     2789)(2287,2540,2791)(2288,2541,2624)(2292,2411,2675)(2293,2544,2794)
     (2295,2546,2797)(2297,2548,2800)(2298,2549,2802)(2303,2556,2808)(2311,
     2565,2816)(2313,2568,2820)(2318,2573,2824)(2327,2586,2835)(2336,2597,
     2842)(2342,2605,2851)(2346,2611,2858)(2348,2514,2766)(2350,2614,2861)
     (2352,2415,2678)(2354,2618,2664)(2364,2458,2457)(2366,2632,2872)(2369,
     2634,2875)(2370,2635,2710)(2373,2640,2881)(2374,2641,2882)(2377,2645,
     2406)(2383,2653,2483)(2385,2655,2892)(2388,2659,2530)(2389,2529,2780)
     (2393,2443,2419)(2395,2662,2900)(2396,2663,2619)(2398,2616,2863)(2403,
     2667,2904)(2408,2671,2906)(2412,2676,2911)(2413,2677,2912)(2417,2681,
     2914)(2421,2684,2917)(2422,2685,2919)(2424,2687,2922)(2425,2688,2924)
     (2430,2690,2927)(2434,2695,2930)(2436,2697,2572)(2438,2698,2933)(2440,
     2701,2936)(2444,2682,2781)(2446,2702,2867)(2448,2704,2474)(2449,2705,
     2938)(2450,2706,2940)(2454,2709,2944)(2463,2715,2946)(2470,2723,2953)
     (2472,2726,2956)(2475,2728,2958)(2477,2730,2961)(2480,2733,2964)(2492,
     2747,2978)(2494,2750,2982)(2496,2752,2841)(2497,2542,2792)(2498,2753,
     2985)(2501,2755,2560)(2502,2756,2926)(2505,2591,2838)(2506,2759,2991)
     (2510,2764,2995)(2511,2575,2826)(2517,2768,2627)(2518,2626,2868)(2521,
     2772,3004)(2523,2775,3008)(2524,2776,3010)(2527,2778,3013)(2528,2779,
     2666)(2534,2783,3016)(2537,2786,3018)(2545,2795,3027)(2547,2798,2971)
     (2550,2803,3034)(2553,2806,3038)(2554,2807,3039)(2557,2809,3040)(2562,
     2812,3044)(2563,2813,2670)(2566,2817,3046)(2569,2821,3047)(2571,2822,
     3049)(2577,2828,3054)(2578,2829,3056)(2580,2830,2646)(2582,2831,3057)
     (2583,2832,3058)(2587,2703,2937)(2589,2837,2935)(2594,2839,3062)(2598,
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