q1 := (1,2,4)(3,5,8)(6,9,13)(7,10,15)(11,16,22)(12,17,24)(14,19,27)(18,25,33) (20,28,37)(21,29,39)(23,31,36)(26,34,45)(30,40,51)(32,42,54)(35,46,59) (38,48,62)(41,52,67)(43,55,71)(44,56,73)(47,60,78)(49,63,82)(50,64,84) (53,68,89)(57,74,96)(58,75,98)(61,79,103)(65,85,110)(66,86,112)(69,90, 117)(70,91,119)(72,93,122)(76,99,128)(77,100,130)(80,104,134)(81,105,136) (83,107,139)(87,113,146)(88,114,148)(92,120,155)(94,123,159)(95,124,161) (97,126,164)(101,131,170)(102,132,172)(106,137,178)(108,140,181)(109,141, 183)(111,143,185)(115,149,191)(116,150,193)(118,152,196)(121,156,201) (125,162,142)(127,165,211)(129,167,214)(133,173,221)(135,175,224)(138, 163,208)(144,180,229)(145,186,236)(147,188,239)(151,194,246)(153,197,250) (154,198,252)(157,202,257)(158,203,259)(160,205,262)(166,212,269)(168, 215,273)(169,216,275)(171,218,278)(174,222,283)(176,225,287)(177,226,289) (179,228,292)(182,231,296)(184,233,299)(187,237,303)(189,240,307)(190, 241,309)(192,243,312)(195,247,317)(199,253,324)(200,254,326)(204,260,333) (206,235,301)(207,263,337)(209,265,340)(210,266,342)(213,270,347)(217, 276,354)(219,279,358)(220,280,360)(223,284,364)(227,290,323)(230,294,375) (232,297,379)(234,300,383)(238,304,388)(242,310,395)(244,313,398)(245, 314,400)(248,318,405)(249,319,406)(251,321,409)(255,327,415)(256,328,417) (258,330,420)(261,334,425)(264,338,430)(267,343,435)(268,344,437)(271, 348,442)(272,349,444)(274,351,447)(277,355,452)(281,311,396)(282,361,459) (285,365,464)(286,366,466)(288,368,469)(291,371,473)(293,373,475)(295, 376,479)(298,380,484)(302,385,490)(305,389,495)(306,390,497)(308,392,500) (315,401,510)(316,402,512)(320,407,518)(322,410,522)(325,412,525)(329, 418,531)(331,421,535)(332,422,537)(335,426,541)(336,427,543)(339,431,548) (341,432,550)(345,438,557)(346,439,521)(350,445,565)(352,448,569)(353, 449,571)(356,453,576)(357,454,578)(359,456,487)(362,460,583)(363,461,585) (367,467,591)(369,470,595)(370,471,597)(372,474,601)(374,476,604)(377, 480,609)(378,481,611)(381,485,616)(382,486,618)(384,488,620)(386,491,624) (387,492,626)(391,498,632)(393,501,636)(394,502,638)(397,505,642)(399, 507,645)(403,513,652)(404,514,654)(408,519,660)(411,523,664)(413,526,668) (414,527,670)(416,529,673)(419,532,677)(423,538,424)(428,544,690)(429, 545,692)(433,551,699)(434,552,700)(436,554,703)(440,559,709)(441,560,711) (443,562,714)(446,566,718)(450,572,724)(451,573,726)(455,579,731)(457, 580,733)(458,581,735)(462,586,740)(463,587,742)(465,588,744)(468,592,749) (472,598,755)(477,605,763)(478,606,765)(482,612,771)(483,613,773)(489, 621,782)(493,627,574)(494,628,790)(496,629,792)(499,633,796)(503,639,803) (504,640,805)(506,643,809)(508,646,812)(509,647,814)(511,649,817)(515, 655,824)(516,656,826)(517,657,828)(520,661,833)(524,665,836)(528,671,843) (530,674,847)(533,678,852)(534,679,854)(536,681,856)(539,684,860)(540, 685,862)(542,687,865)(546,693,872)(547,694,874)(549,696,877)(553,701,883) (555,704,887)(556,705,889)(558,707,892)(561,712,898)(563,715,902)(564, 716,904)(567,719,908)(568,720,910)(570,722,913)(575,727,919)(577,729,922) (582,736,930)(584,738,933)(589,745,940)(590,746,942)(593,750,947)(594, 751,949)(596,752,951)(599,756,956)(600,757,958)(602,759,961)(603,760,963) (607,766,969)(608,767,971)(610,769,974)(614,774,979)(615,775,981)(617, 777,984)(619,779,986)(622,783,990)(623,784,992)(625,786,994)(630,793, 1002)(631,794,1004)(634,797,1008)(635,798,1010)(637,800,1013)(641,806, 1020)(644,810,1024)(648,815,1029)(650,818,1032)(651,819,1034)(653,821, 1037)(658,829,1046)(659,830,1047)(662,834,873)(663,835,1053)(666,837, 1056)(667,838,1058)(669,840,1061)(672,844,1066)(675,848,1071)(676,849, 1073)(680,855,1080)(682,857,1083)(683,858,1085)(686,863,1091)(688,866, 1094)(689,867,1096)(691,869,1099)(695,875,1105)(697,878,1109)(698,879, 1111)(702,884,1117)(706,890,1124)(708,893,1128)(710,895,1131)(713,899, 1136)(717,905,1142)(721,911,1149)(723,914,1153)(725,916,1156)(728,920, 1161)(730,923,1165)(732,925,1168)(734,927,1171)(737,931,1176)(739,934, 1180)(741,935,1182)(743,937,1185)(747,943,1082)(748,944,1192)(753,952, 1201)(754,953,1202)(758,959,1209)(761,964,1215)(762,965,1217)(764,967, 1220)(768,972,1225)(770,975,1228)(772,868,1097)(776,982,1236)(778,985, 1240)(780,987,1243)(781,980,1233)(785,993,1250)(787,995,1251)(788,996, 1253)(789,997,1255)(791,999,1257)(795,1005,1263)(799,1011,1270)(801,1014, 1274)(802,1015,1276)(804,1017,1278)(807,1021,1282)(808,1022,1284)(811, 1025,1287)(813,1026,1289)(816,1030,1294)(820,1035,1300)(822,1038,1303) (823,1039,1123)(825,1041,1307)(827,1043,1310)(831,1048,903)(832,1049, 1316)(839,1059,1327)(841,1062,1330)(842,1063,1332)(845,1067,1337)(846, 1068,1339)(850,1074,1346)(851,1075,1348)(853,1077,1351)(859,1086,1358) (861,1088,1360)(864,1092,1365)(870,1100,1374)(871,1101,1376)(876,1106, 1381)(880,1112,1387)(881,1113,1170)(882,1114,1390)(885,1118,1395)(886, 1119,1396)(888,1121,1399)(891,1125,1402)(894,1129,1406)(896,1132,1410) (897,1133,1412)(900,1137,1416)(901,1138,1418)(906,1143,1423)(907,1144, 1425)(909,1146,1428)(912,1150,1433)(915,1154,1438)(917,1157,1442)(918, 1158,1444)(921,1162,1449)(924,1166,1454)(926,1169,1457)(928,1172,1460) (929,1173,1461)(932,1177,1465)(936,1183,1472)(938,1186,1475)(941,1188, 1478)(945,1193,1484)(946,1194,1486)(948,1196,1489)(950,1198,1492)(954, 1203,1498)(955,1204,1500)(957,1206,1503)(960,1210,1508)(962,1212,1511) (966,1218,1140)(968,1033,1297)(970,1222,1520)(973,1226,1524)(976,1229, 1527)(977,1230,1529)(978,1231,1531)(983,1237,1537)(988,1244,1544)(989, 1245,1546)(991,1247,1548)(998,1256,1557)(1000,1258,1560)(1001,1259,1562) (1003,1261,1565)(1006,1264,1174)(1007,1265,1569)(1009,1267,1571)(1012, 1271,1576)(1016,1277,1580)(1018,1279,1582)(1023,1285,1586)(1027,1290, 1592)(1028,1291,1405)(1031,1295,1596)(1036,1301,1602)(1040,1305,1087) (1042,1308,1610)(1044,1311,1613)(1045,1312,1615)(1050,1317,1621)(1051, 1318,1623)(1052,1319,1625)(1054,1321,1628)(1055,1322,1232)(1057,1324, 1630)(1060,1328,1635)(1064,1333,1640)(1065,1334,1642)(1069,1340,1649) (1070,1341,1651)(1072,1343,1654)(1076,1349,1104)(1078,1352,1662)(1079, 1353,1663)(1081,1355,1666)(1084,1356,1668)(1089,1361,1674)(1090,1362, 1676)(1093,1366,1680)(1095,1368,1683)(1098,1371,1687)(1102,1377,1694) (1103,1378,1696)(1107,1370,1685)(1108,1382,1700)(1110,1384,1703)(1115, 1391,1709)(1116,1392,1711)(1120,1397,1715)(1122,1400,1719)(1126,1403, 1723)(1127,1404,1725)(1130,1407,1728)(1134,1413,1735)(1135,1347,1658) (1139,1419,1742)(1141,1420,1744)(1145,1426,1750)(1147,1429,1754)(1148, 1430,1756)(1151,1434,1760)(1152,1435,1762)(1155,1439,1765)(1159,1445, 1770)(1160,1446,1772)(1163,1450,1776)(1164,1451,1778)(1167,1455,1782) (1175,1462,1788)(1178,1466,1793)(1179,1467,1795)(1181,1469,1797)(1184, 1473,1483)(1187,1476,1805)(1189,1479,1808)(1190,1480,1743)(1191,1481, 1811)(1195,1487,1817)(1197,1490,1820)(1199,1493,1823)(1200,1494,1804) (1205,1501,1831)(1207,1504,1835)(1208,1505,1837)(1211,1509,1842)(1213, 1512,1846)(1214,1513,1848)(1216,1515,1850)(1219,1518,1441)(1221,1519, 1855)(1223,1262,1566)(1224,1521,1858)(1227,1525,1862)(1234,1533,1871) (1235,1534,1873)(1238,1538,1600)(1239,1539,1879)(1241,1541,1881)(1242, 1542,1882)(1246,1331,1638)(1249,1549,1840)(1252,1552,1893)(1254,1554, 1350)(1260,1563,1904)(1266,1570,1910)(1268,1572,1913)(1269,1573,1915) (1272,1577,1920)(1273,1578,1922)(1275,1579,1923)(1280,1583,1926)(1281, 1584,1928)(1283,1585,1930)(1286,1587,1932)(1288,1589,1935)(1292,1593, 1940)(1293,1594,1941)(1296,1398,1716)(1298,1598,1946)(1299,1599,1948) (1302,1603,1951)(1304,1605,1954)(1306,1607,1957)(1309,1551,1891)(1313, 1616,1966)(1314,1617,1968)(1315,1618,1970)(1320,1626,1979)(1323,1380, 1698)(1325,1631,1984)(1326,1632,1986)(1329,1636,1991)(1335,1643,1995) (1336,1644,1997)(1338,1646,1999)(1342,1652,2005)(1344,1655,2009)(1345, 1656,2011)(1354,1664,2020)(1357,1669,1629)(1359,1671,2027)(1363,1677, 1830)(1364,1678,2033)(1367,1681,2037)(1369,1684,2040)(1372,1688,2044) (1373,1689,2046)(1375,1691,1929)(1379,1697,2054)(1383,1701,1639)(1385, 1704,2059)(1386,1705,2061)(1388,1706,1994)(1389,1707,1448)(1393,1712, 2066)(1394,1713,2068)(1401,1720,2076)(1408,1729,2085)(1409,1730,2087) (1411,1732,2089)(1414,1736,2094)(1415,1737,1523)(1417,1739,2098)(1421, 1745,2102)(1422,1746,2104)(1424,1747,2106)(1427,1751,2110)(1431,1757, 2115)(1432,1591,1937)(1436,1763,2121)(1437,1764,2086)(1440,1766,2125) (1443,1768,2128)(1447,1773,2134)(1452,1648,2001)(1453,1779,2141)(1456, 1783,2144)(1458,1784,2146)(1459,1690,2047)(1463,1789,2151)(1464,1790, 2153)(1468,1796,2159)(1470,1798,2093)(1471,1799,2163)(1474,1802,2167) (1477,1806,2171)(1482,1812,2178)(1485,1814,1938)(1488,1818,2185)(1491, 1821,2188)(1495,1825,2191)(1496,1826,2193)(1497,1827,2194)(1499,1829, 2197)(1502,1832,2200)(1506,1838,2207)(1507,1839,2209)(1510,1843,2212) (1514,1849,1943)(1516,1851,2053)(1517,1852,2221)(1522,1859,2226)(1526, 1863,1854)(1528,1865,2231)(1530,1867,2234)(1532,1869,2236)(1535,1874, 2241)(1536,1875,2243)(1540,1880,2249)(1543,1883,2252)(1545,1885,2255) (1547,1887,2258)(1550,1890,2262)(1553,1894,2266)(1555,1895,2160)(1556, 1896,2269)(1558,1898,2272)(1559,1899,2274)(1561,1901,2277)(1564,1905, 2282)(1567,1907,2284)(1568,1908,1753)(1574,1916,1924)(1575,1917,2294) (1581,1888,2259)(1588,1933,2304)(1590,1936,2307)(1595,1942,2311)(1597, 1944,2312)(1601,1949,2317)(1604,1952,2320)(1606,1955,2323)(1608,1958, 2326)(1609,1959,2328)(1611,1961,2331)(1612,1672,2028)(1614,1963,2333) (1619,1971,2342)(1620,1972,2344)(1622,1974,2055)(1624,1976,2349)(1627, 1980,2354)(1633,1987,2362)(1634,1988,2364)(1637,1836,2204)(1641,1993, 2332)(1645,1787,1675)(1647,2000,2376)(1650,2002,2379)(1653,2006,2383) (1657,2012,2390)(1659,2014,2393)(1660,2015,2242)(1661,2016,2396)(1665, 2021,2402)(1667,2023,2404)(1670,1934,2305)(1673,2029,1947)(1679,2034, 1749)(1682,2038,2414)(1686,1864,2230)(1692,2049,2422)(1693,2050,2424) (1695,2052,2427)(1699,2013,2391)(1702,1927,1914)(1708,2063,2435)(1710, 2064,2437)(1714,2069,2441)(1717,2072,2444)(1718,2073,2446)(1721,2077, 2450)(1722,2078,2065)(1724,2080,2453)(1726,2082,2456)(1727,2083,2458) (1731,2088,1780)(1733,2090,2464)(1734,2091,2166)(1738,2096,2470)(1740, 2099,2473)(1741,1794,2156)(1748,2107,2250)(1752,2111,2483)(1755,2112, 2463)(1758,2116,2043)(1759,2117,2489)(1761,2119,2491)(1767,2126,2499) (1769,2129,2501)(1771,2131,2208)(1774,2135,2507)(1775,2136,2509)(1777, 2138,2338)(1781,2127,1857)(1785,2147,2518)(1786,2148,2519)(1791,2154, 2525)(1792,2155,1892)(1800,2164,2534)(1801,2165,2535)(1803,2168,2538) (1807,2172,2543)(1809,2174,2433)(1810,2175,2421)(1813,2179,2549)(1815, 2181,2114)(1816,2182,1939)(1819,2186,2554)(1822,2189,1860)(1824,1903, 2279)(1828,2195,2560)(1833,2201,2567)(1834,2202,2569)(1841,2210,2400) (1844,2213,2578)(1845,2214,2290)(1847,2216,2582)(1853,2222,2586)(1856, 2223,2588)(1861,2227,2591)(1866,2232,2596)(1868,2235,2600)(1870,2237, 2603)(1872,2238,2605)(1876,2244,2609)(1877,2245,2611)(1878,2246,2612) (1884,2253,2618)(1886,2256,2622)(1889,2260,2626)(1897,2270,2635)(1900, 2275,2639)(1902,2278,1918)(1906,2124,2496)(1909,2286,2220)(1911,2288, 2045)(1912,2289,2649)(1919,2295,1962)(1921,2297,2656)(1925,2299,2659) (1931,2302,2663)(1945,2313,2673)(1950,2292,2651)(1953,2161,2530)(1956, 2324,2682)(1960,2329,2687)(1964,2334,2691)(1965,2335,2693)(1967,2337, 2696)(1969,2339,2698)(1973,2345,2372)(1975,2347,2705)(1977,2350,2062) (1978,2351,2707)(1981,2355,2497)(1982,2356,2712)(1983,2357,2714)(1985, 2359,2004)(1989,2365,2506)(1990,2366,2723)(1992,2368,2340)(1996,2371, 2727)(1998,2373,2449)(2003,2380,2734)(2007,2384,2101)(2008,2385,2739) (2010,2387,2742)(2017,2397,2751)(2018,2398,2753)(2019,2399,2755)(2022, 2403,2758)(2024,2039,2415)(2025,2405,2761)(2026,2406,2762)(2030,2409, 2577)(2031,2315,2675)(2032,2410,2192)(2035,2412,2769)(2036,2413,2367) (2041,2417,2773)(2042,2336,2694)(2048,2420,2776)(2051,2425,2779)(2056, 2429,2784)(2057,2430,2786)(2058,2431,2787)(2060,2291,2650)(2067,2438, 2793)(2070,2442,2797)(2071,2443,2798)(2074,2447,2802)(2075,2448,2804) (2079,2452,2808)(2081,2454,2765)(2084,2459,2813)(2092,2466,2819)(2095, 2468,2822)(2097,2471,2729)(2100,2474,2828)(2103,2475,2830)(2105,2477, 2832)(2108,2480,2479)(2109,2481,2835)(2113,2485,2285)(2118,2199,2564) (2120,2492,2517)(2122,2494,2844)(2123,2495,2846)(2130,2502,2851)(2132, 2504,2225)(2133,2505,2143)(2137,2510,2562)(2139,2512,2858)(2140,2513, 2695)(2142,2514,2526)(2145,2515,2831)(2149,2520,2865)(2150,2521,2268) (2152,2522,2868)(2157,2528,2874)(2158,2529,2876)(2162,2531,2879)(2169, 2539,2887)(2170,2540,2648)(2173,2544,2893)(2176,2546,2896)(2177,2547, 2293)(2180,2183,2551)(2184,2552,2903)(2187,2555,2906)(2190,2557,2909) (2196,2561,2913)(2198,2563,2283)(2203,2570,2921)(2205,2527,2872)(2206, 2571,2922)(2211,2575,2924)(2215,2580,2756)(2217,2583,2932)(2218,2584, 2933)(2219,2585,2935)(2224,2589,2938)(2228,2592,2941)(2229,2593,2942) (2233,2597,2944)(2239,2606,2950)(2240,2607,2952)(2247,2613,2956)(2248, 2353,2709)(2251,2615,2957)(2254,2619,2960)(2257,2623,2963)(2261,2411, 2767)(2263,2628,2968)(2264,2629,2966)(2265,2630,2970)(2267,2632,2972) (2271,2636,2976)(2273,2638,2977)(2276,2640,2978)(2280,2643,2979)(2281, 2644,2981)(2287,2646,2984)(2296,2654,2990)(2298,2657,2766)(2300,2660, 2837)(2301,2661,2995)(2303,2664,2999)(2306,2667,3002)(2308,2669,3004) (2309,2316,2620)(2310,2670,3006)(2314,2674,2901)(2318,2677,2655)(2319, 2536,2884)(2321,2679,2559)(2322,2680,2931)(2325,2683,3017)(2327,2685, 3019)(2330,2688,3022)(2341,2699,3028)(2343,2701,3031)(2346,2703,3034) (2348,2706,2864)(2352,2708,3039)(2358,2715,3046)(2360,2717,3047)(2361, 2718,3048)(2363,2720,3051)(2369,2724,3055)(2370,2725,2573)(2374,2556, 2907)(2375,2503,2587)(2377,2730,3059)(2378,2731,2949)(2381,2634,2974) (2382,2735,3062)(2386,2740,3067)(2388,2743,2770)(2389,2744,3071)(2392, 2747,2825)(2394,2749,3076)(2395,2548,2898)(2401,2416,2772)(2407,2763, 3088)(2408,2764,3090)(2419,2774,3092)(2423,2568,2918)(2426,2780,2905) (2428,2782,3100)(2432,2486,2839)(2434,2788,3105)(2436,2790,3107)(2439, 2794,3111)(2445,2799,3115)(2451,2806,3120)(2455,2810,3125)(2457,2812, 2867)(2460,2814,3127)(2461,2815,2738)(2462,2816,3130)(2465,2817,3131) (2467,2820,3135)(2469,2823,3139)(2472,2826,3142)(2476,2803,2627)(2478, 2833,3146)(2482,2836,3149)(2484,2838,3150)(2487,2807,3121)(2488,2840, 3152)(2490,2604,2614)(2493,2843,3155)(2498,2847,3160)(2500,2849,3161) (2508,2853,3163)(2511,2856,3166)(2516,2862,3170)(2523,2869,3176)(2524, 2870,2572)(2532,2880,3185)(2533,2881,3186)(2537,2885,3191)(2541,2889, 2733)(2542,2890,2653)(2545,2894,3197)(2550,2900,3201)(2553,2904,3202) (2558,2910,2610)(2565,2916,2595)(2566,2760,3085)(2574,2852,2666)(2576, 2925,2728)(2579,2927,2637)(2581,2929,3219)(2590,2939,3210)(2594,2716, 2967)(2598,2945,3174)(2599,2672,3008)(2602,2947,3213)(2608,2953,3234) (2616,2684,3018)(2617,2958,3239)(2621,2961,3241)(2624,2964,3243)(2625, 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