z1 := (1,2,5,11,7,3)(4,8,16,27,17,9)(6,12,20,33,22,13)(10,18,30,23,14,19)(15,
     24,39,65,41,25)(21,34,55,92,57,35)(26,42,70,117,72,43)(28,45,76,122,78,
     46)(29,47,74,44,73,48)(31,49,81,131,83,50)(32,51,85,132,82,52)(36,58,97,
     153,99,59)(37,60,88,53,87,61)(38,62,103,163,105,63)(40,66,110,175,111,67)
     (54,89,140,223,141,90)(56,93,146,233,148,94)(64,106,168,270,170,107)(68,
     112,177,284,179,113)(69,114,98,154,181,115)(71,118,185,297,187,119)(75,
     109,173,278,191,121)(77,123,194,310,196,124)(79,126,200,320,202,127)(80,
     128,203,325,205,129)(84,134,212,341,214,135)(86,137,218,351,219,138)(91,
     142,226,365,227,143)(95,149,238,382,240,150)(96,151,242,389,244,152)(100,
     156,248,398,249,157)(101,158,251,402,253,159)(102,160,255,408,257,161)
     (104,164,262,421,264,165)(108,171,274,192,276,172)(116,182,291,466,293,
     183)(120,188,302,481,304,189)(125,197,314,499,316,198)(130,206,329,520,
     331,207)(133,209,335,492,337,210)(136,215,346,544,347,216)(139,220,354,
     555,356,221)(144,228,333,208,332,229)(145,230,369,581,371,231)(147,234,
     376,593,378,235)(155,245,393,617,395,246)(162,258,413,646,415,259)(166,
     265,426,667,428,266)(167,267,430,673,432,268)(169,271)(174,279,446,700,
     447,280)(176,282,451,707,453,283)(178,285,456,713,458,286)(180,288)(184,
     294,470,308,193,295)(186,298,387,241,386,299)(190,305,485,759,486,306)
     (195,311,494,772,496,312)(199,317,503,786,505,318)(201,321,508,405,509,
     322)(204,326,515,805,517,327)(211,338,532,828,534,339)(213,342,538,390,
     243,343)(217,348,545,849,546,349)(222,357,560,871,562,358)(224,360,565,
     880,566,361)(225,362,568,885,570,363)(232,372,585,915,587,373)(236,379,
     597,932,599,380)(237,381)(239,383,602,939,604,384)(247,396,621,970,623,
     397)(250,272,436,319,506,400)(252,403,630,986,632,404)(254,377,594,926,
     634,406)(256,409,639,1000,640,410)(260,416,651,454,653,417)(261,418,655,
     1026,656,419)(263,422,661,1035,662,423)(269,433,677,879,679,434)(273,437,
     684,1070,686,438)(275,440,690,1080,692,441)(277,443,695,1089,696,444)
     (281,448,681,435,680,449)(287,459,718,1119,720,460)(289,462,724,1126,726,
     463)(290,464,728,1132,730,465)(292,467,733,1141,735,468)(296,471,614,391,
     613,472)(300,476,747,1150,739,477)(301,478,750,1166,752,479)(303,482,553,
     353,552,483)(307,487,762,1103,764,488)(309,490,767,1193,768,491)(313,497,
     776,1206,778,498)(315,500,781,1213,783,501)(323,510,796,1235,798,511)
     (324,512,799,1238,801,513)(328,518,810,1176,812,519)(330,521,814,743,474,
     522)(334,526,608,948,821,527)(336,529,823,1279,825,530)(340,535,833,1296,
     835,536)(344,540,840,1307,842,541)(345,542,844,1314,846,543)(350,547,851,
     1326,853,548)(352,550,856,1332,858,551)(355,556,864,1346,866,557)(359,
     563,876,600,878,564)(364,571,889,1375,891,572)(366,574,895,1383,897,575)
     (367,576,899,1389,901,577)(368,578,902,1394,904,579)(370,539,839,1305,
     909,582)(374,588,893,573,892,589)(375,590,919,1421,921,591)(385,605,944,
     701,945,606)(388,609,950,1466,952,610)(392,615,959,1479,961,616)(394,618,
     964,1486,966,619)(399,624,975,1501,976,625)(401,626,978,1504,980,627)
     (407,635,993,1524,995,636)(411,641,1003,1540,1005,642)(412,643,1007,1546,
     1009,644)(414,647,1013,1557,1015,648)(420,657,1028,1582,1030,658)(424,
     663,1038,1598,1040,664)(425,665,1042,1605,1044,666)(427,650,1018,974,
     1047,668)(429,670,1051,1619,1053,671)(431,674,1057,1630,1058,675)(439,
     687,1075,1657,1077,688)(442,525,818,1270,1085,693)(445,697,1091,779,1093,
     698)(450,704,1098,1691,1100,705)(452,708,1105,1701,1106,709)(455,711,
     1109,1708,1111,712)(457,714,1112,719,1114,715)(461,721,1120,1722,1122,
     722)(469,736,1146,1756,1147,737)(473,741,1137,731,1136,742)(475,744,1156,
     1771,1158,745)(480,753,867,558,523,528)(484,757,1177,1791,1170,758)(489,
     755,1173,1760,1189,765)(493,769,1196,1827,1197,770)(495,773,689,1078,784,
     502)(504,787,1221,1865,1223,788)(507,791,1172,754,1171,792)(514,802,1242,
     1893,1244,803)(516,806,1249,1905,1251,807)(524,816,1266,1931,1268,817)
     (531,631,987,1384,896,826)(533,829,1288,1688,1290,830)(537,836,1301,1973,
     1302,837)(549,854,1319,847,1318,855)(554,860,1339,2030,1340,861)(559,868,
     1350,2043,1352,869)(561,872,1356,2052,1357,873)(567,882,1368,888,1369,
     883)(569,886,1373,2076,1374,887)(580,905,1398,2110,1400,906)(583,910,
     1407,2126,1409,911)(584,912,1240,800,1239,913)(586,916,1415,2140,1417,
     917)(592,922,1425,2153,1427,923)(595,927,1434,2163,1436,928)(596,929,
     1438,2169,1439,930)(598,933,1444,2177,1446,934)(601,936,1121,1723,1449,
     937)(603,940,1453,2188,1455,941)(607,946,1461,2201,1463,947)(611,953,
     1470,962,1287,954)(612,955,1283,1952,1473,956)(620,967,1489,1608,1491,
     968)(622,971,1496,2244,1498,972)(628,981,1342,862,1341,982)(629,983,1510,
     2262,1511,984)(633,989,1517,2273,1519,990)(637,996,1528,1045,1530,997)
     (638,998,1532,2065,1366,881)(645,1010,1551,2326,1553,1011)(649,1016,1269,
     1935,1562,1017)(652,1020,1567,2350,1569,1021)(654,1023,1573,2358,1575,
     1024)(659,1031,1555,1012,1554,1032)(660,1033,1589,2384,1591,1034)(669,
     1048,1613,2420,1615,1049)(672,1054,1624,2438,1626,1055)(676,1059,703,
     1097,1633,1060)(678,1061,1635,2452,1637,1062)(682,1065,1643,2461,1644,
     1066)(683,1067,1068)(685,1071,1651,2473,1653,1072)(691,1081,1666,2493,
     1668,1082)(694,1086,1673,2502,1675,1087)(699,1094,1685,2148,1422,920)
     (702,1095,1687,1774,1689,1096)(706,1101,1696,2484,1660,1102)(710,1107,
     1704,2544,1706,1108)(716,1115,1716,2562,1718,1116)(717,1117,1719,2566,
     1720,1118)(723,1123,1726,2574,1728,1124)(725,1127,1731,2581,1733,1128)
     (727,1130,1735,1487,965,1131)(729,1133,1737,2588,1739,1134)(732,1138,
     1744,2599,1745,1139)(734,1142,1749,2606,1751,1143)(738,1148,1758,2617,
     1759,1149)(740,1151,1762,1734,1129,1152)(746,1159,1345,2035,1777,1160)
     (748,1161,1779,2646,1780,1162)(749,1163,1782,2650,1783,1164)(751,1167,
     1788,2658,1789,1168)(756,1174,1796,2666,1798,1175)(760,1180,1804,2676,
     1806,1181)(761,1182,1694,2531,1808,1183)(763,1185,1812,2539,1700,1186)
     (766,1190,1819,1497,1820,1191)(771,1198,1830,2707,1832,1199)(774,1201,
     1836,2713,1838,1202)(775,1203,1840,2718,1842,1204)(777,1207,1843,2721,
     1845,1208)(780,1210,1847,2726,1849,1211)(782,1214,1852,2026,1854,1215)
     (785,1218,1859,2743,1861,1219)(789,1224,1669,1083,1568,1205)(790,1225,
     1628,1056,1627,1226)(793,1229,1875,1451,1877,1230)(794,1231,1878,2771,
     1880,1232)(795,1233,1882,2777,1884,1234)(797,1236,1886,2782,1887,1237)
     (804,1245,1897,1416,1899,1246)(808,1252,1908,2804,1910,1253)(809,1254,
     1255)(811,1257,1915,2815,1917,1258)(813,1260,1920,2823,1921,1261)(815,
     1263,1925,2105,1927,1264)(819,1271,1938,1588,1940,1272)(820,1273,1941,
     2634,1943,1274)(822,1276,1947,2856,1948,1277)(824,1280,1281)(827,1284,
     1953,2524,1954,1285)(831,1291,1960,2523,1686,1292)(832,1293,1963,2874,
     1964,1294)(834,1297,1966,2878,1968,1298)(838,1303,1975,2890,1977,1304)
     (841,1308,1892,1241,1891,1309)(843,1311,1986,1795,1988,1312)(845,1315,
     1992,2914,1994,1316)(848,1320,2000,2927,2002,1321)(850,1323,2006,2936,
     2008,1324)(852,1327,2011,2943,2013,1328)(857,1333,1574,2359,2021,1334)
     (859,1336,2025,2957,2027,1337)(863,1343,2033,2803,1907,1344)(865,1347,
     2037,2972,2039,1348)(870,1353,2047,2984,2049,1354)(874,1358,1930,2835,
     2056,1359)(875,1360,938,1450,1835,1361)(877,1363,2060,2200,2061,1364)
     (884,1370,2070,3011,2072,1371)(890,1376,2078,3022,2079,1377)(894,1380,
     2085,3031,2087,1381)(898,1386,2093,2279,2094,1387)(900,1390,1391)(903,
     1395,2104,3056,2106,1396)(907,1401,2115,1442,2117,1402)(908,1403,2118,
     3075,2120,1404)(914,1411,2133,3100,2135,1412)(918,1418,2142,3112,2144,
     1419)(924,1428,2137,1413,2136,1429)(925,1430,2158,3135,2159,1431)(931,
     1440,2172,1670,1084,1441)(935,1447,2180,3167,2182,1448)(942,1456,1837,
     2714,2193,1457)(943,1458,2195,3186,2197,1459)(949,1464,2205,3197,2207,
     1465)(951,1467,2209,1790,1169,1468)(957,1474,1125,1729,2220,1475)(958,
     1476,1623,2436,2222,1477)(960,1480,2225,3225,2227,1481)(963,1483,2231,
     3234,2232,1484)(969,1492,2239,3247,2240,1493)(973,1499,1603,1041,1602,
     1500)(977,1502,2248,3255,2249,1503)(979,1505,2252,3260,2254,1506)(985,
     1299,1969,1382,2088,1512)(988,1515,2269,3285,2271,1516)(991,1295,1965,
     2876,2278,1520)(992,1521,2280,3300,2282,1522)(994,1525,2287,3147,2167,
     1437)(999,1533,2298,2879,1967,1534)(1001,1536,2302,3329,2304,1537)(1002,
     1538,1073)(1004,1541,1187,1814,2311,1542)(1006,1445,1544)(1008,1547,2318,
     3350,2320,1548)(1014,1558,2336,3140,2161,1433)(1019,1564,2345,2426,2346,
     1565)(1022,1570,2353,3392,2355,1571)(1025,1576,2362,3403,2364,1577)(1027,
     1579,2368,3412,2370,1580)(1029,1583,2375,3424,2377,1584)(1036,1593,2390,
     3443,2392,1594)(1037,1595,2394,3447,2395,1596)(1039,1599,2400,3454,2402,
     1600)(1043,1606,2408,3466,2410,1607)(1046,1609,2412,3472,2414,1610)(1050,
     1616,2425,3486,2427,1617)(1052,1620,2431,3492,2433,1621)(1063,1638,1769,
     1155,1768,1639)(1064,1640,2456,3520,2458,1641)(1069,1647,2468,1679,1090,
     1648)(1074,1654,2477,3548,2478,1655)(1076,1658,2481,3552,2483,1659)(1079,
     1662,2488,3561,2490,1663)(1088,1676,2506,3580,2508,1677)(1092,1681,2515,
     3590,2517,1682)(1099,1692,2528,3605,2530,1693)(1104,1698,1145,1754,2538,
     1699)(1110,1650,2471,2542,1703,1709)(1113,1712,1212,1850,2557,1713)(1135,
     1740,2592,3134,2594,1741)(1140,1746,2602,3702,2604,1747)(1144,1752,2610,
     3713,2612,1753)(1153,1764,2623,3729,2625,1765)(1154,1766,2627,3280,2629,
     1767)(1157,1772,2636,3747,2638,1773)(1165,1784,2652,3766,2654,1785)(1178,
     1799,2668,3787,2670,1800)(1179,1801,2510,1678,2509,1802)(1184,1809,2682,
     1824,1194,1810)(1188,1815,2688,3812,2690,1816)(1192,1821,2697,3826,2699,
     1822)(1195,1278,1825)(1200,1833,2700,1823,2089,1834)(1209,1432,2160,3138,
     2308,1841)(1216,1855,2735,3870,2737,1856)(1217,1857,2739,2537,1958,1636)
     (1220,1862,2748,1885,2750,1863)(1222,1866,1867)(1227,1871,2762,3905,2764,
     1872)(1228,1873,2766,3859,2729,1874)(1243,1787,2657,3771,2792,1894)(1247,
     1900,2785,1888,2784,1901)(1248,1902,2798,3944,2799,1903)(1250,1906,1488)
     (1256,1913,2811,3956,2813,1914)(1259,1289,1918)(1262,1922,2825,3055,2827,
     1923)(1265,1928,2832,3981,2834,1929)(1267,1932,2836,3985,2838,1933)(1275,
     1944,2851,2386,2852,1945)(1282,1951,2712,3706,2605,1748)(1286,1955,1664,
     1981,2865,1956)(1300,1970,2882,4036,2884,1971)(1306,1979,2793,1895,1329,
     1980)(1310,1983,2901,4062,2902,1984)(1313,1989,2909,4074,2911,1990)(1317,
     1995,1367,2066,2920,1996)(1322,2003,2931,2018,2933,2004)(1325,2009,1424,
     2151,2941,2010)(1330,2014,2946,4116,2947,2015)(1331,2016,2948,2099,1392,
     2017)(1335,2022,2954,4123,2956,2023)(1338,2028,2960,4130,2962,2029)(1349,
     2040,2977,4154,2978,2041)(1351,2044,2873,2216,1472,2045)(1355,2050,2988,
     4168,2989,2051)(1362,2058,2203,1462,2202,2059)(1365,2062,3001,4185,3002,
     2063)(1372,2073,2048,2985,3015,2074)(1378,2080,3024,3178,2309,2081)(1379,
     2082,3027,3461,3029,2083)(1385,2091,3036,4223,3038,2092)(1388,2095,1426)
     (1393,2100,3049,4236,3051,2101)(1397,2107,3059,4246,3061,2108)(1399,2111,
     3065,4251,3067,2112)(1405,2121,3079,4048,3081,2122)(1406,2123,2967,4142,
     3084,2124)(1408,2127,3089,4275,3090,2128)(1410,2130,3094,4280,3096,2131)
     (1414,2138,3107,4294,3108,2139)(1420,2145,3117,3543,2474,1652)(1423,2149,
     1839,2716,3124,2150)(1435,2164,2511,3586,3143,2165)(1443,2174,3157,4343,
     3159,2175)(1452,2185,3174,4361,3176,2186)(1454,2189,3179,4366,3181,2190)
     (1460,2198,3189,4373,3191,2199)(1469,2211,3205,2738,3207,2212)(1471,2214,
     3211,4394,3213,2215)(1478,2223,3222,4404,3224,2224)(1482,2228,3229,4413,
     3231,2229)(1485,2233,3237,2276,3239,2234)(1490,2235,3240,4423,3242,2236)
     (1494,2241,3248,2247,3249,2242)(1495,2243,3251,4143,2968,2034)(1507,2255,
     2919,4085,3265,2256)(1508,2257,3267,4443,3269,2258)(1509,2259,2260)(1513,
     2265,3257,2250,3256,2266)(1514,2194,1826,2703,3281,2267)(1518,2274,3293,
     4473,3295,2275)(1523,2283,3304,3210,3306,2284)(1526,1656,2479,3549,3311,
     2288)(1527,2289,1889,2786,3313,2290)(1529,2292,3316,3587,3318,2293)(1531,
     2295,3154,4165,2986,2296)(1535,2300,3308,2285,3307,2301)(1539,2306,3336,
     2378,1585,2307)(1543,2312,2313)(1545,2315,3344,4349,3163,2178)(1549,2321,
     2322)(1550,2323,3356,4537,3357,2324)(1552,2327,3361,4540,3363,2328)(1556,
     2332,3369,4547,3370,2333)(1559,2337,3375,3681,3377,2338)(1560,1991,2912,
     4077,3379,2339)(1561,2340,2482,2171,3153,2341)(1563,2343,2156,3131,3367,
     2331)(1566,2347,3385,3236,3386,2348)(1572,2356,3397,3755,2644,1778)(1578,
     2365,3408,2398,3409,2366)(1581,2371,3417,4596,3419,2372)(1586,2379,3428,
     4610,3429,2380)(1587,2381,3431,3105,3433,2382)(1590,2385,3437,3054,2103,
     2314)(1592,2387,3420,2373,3080,2388)(1597,2396,3450,4556,3383,2397)(1601,
     2403,3458,4639,3460,2404)(1604,2405,3462,2787,1890,2406)(1611,2415,3477,
     3110,2141,2416)(1612,2417,3298,4478,3479,2418)(1614,2421,3332,4510,3484,
     2422)(1618,2428,3488,4114,2945,2429)(1622,2434,3497,2768,1876,2435)(1625,
     2439,2725,3853,3503,2440)(1629,2443,2684,1811,2514,2444)(1631,2445,3509,
     3742,3510,2446)(1632,2447,3512,4692,3513,2448)(1634,2449,3515,3026,3516,
     2450)(1642,2459,3524,4407,3525,2460)(1645,2463,3528,3253,2245,2464)(1646,
     2465,3465,4645,3532,2466)(1649,2451,2842,1936,2841,2470)(1661,2485,3556,
     3401,2360,2486)(1665,2491,2086)(1667,2494,2084)(1671,2498,3043,2096,3042,
     2499)(1672,2024,2071,3012,3574,2500)(1674,2503,3576,2681,3578,2504)(1680,
     2512,3588,3498,3589,2513)(1683,2518,2631,3740,3593,2519)(1684,2520,3595,
     4756,3597,2521)(1690,2526)(1695,2532,3610,4722,3612,2533)(1697,2535,3613,
     4772,3614,2536)(1702,2541)(1705,2545,3620,4777,3622,2546)(1707,2548,1763,
     2621,3625,2549)(1710,2552,3631,4789,3633,2553)(1711,2554,3634,2765,3636,
     2555)(1714,2558,3640,3200,2208,2559)(1715,1797,2020,2951,3643,2560)(1717,
     2563,3647,3230,3648,2564)(1721,2568,3216,2217,3215,2569)(1724,2570,2614,
     1755,2613,2571)(1725,2572,3657,4814,3659,2573)(1727,2575,3661,4818,3663,
     2576)(1730,2578,3667,4654,3668,2579)(1732,2582,3673,4813,3674,2583)(1736,
     2585,3678,4786,3679,2586)(1738,2589,3683,4837,3685,2590)(1742,2595,3693,
     4847,3694,2596)(1743,2597,2719,3846,3697,2598)(1750,2607,3618,4775,3709,
     2608)(1757,2615,3719,3973,2826,2600)(1761,2619,3725,3660,3726,2620)(1770,
     2632,2863,4018,3743,2633)(1775,2639,2640)(1776,2641,3751,3006,2067,2642)
     (1781,2637,3748,4894,3761,2648)(1786,2655,3439,2659,3770,2656)(1792,2660,
     3774,4923,3776,2661)(1793,2662,3778,4028,2872,1962)(1794,2663,3779,4926,
     3781,2664)(1803,2673,2001,2928,3796,2674)(1805,2677,3799,4951,3800,2678)
     (1807,2680,2952,2501,2944,2012)(1813,2685,3806,4956,3808,2686)(1817,2691,
     3817,4125,3818,2692)(1818,2693,3820,3373,2335,2694)(1828,2704,2492)(1829,
     2705,3835,4986,3836,2706)(1831,2708,3838,4990,3840,2709)(1844,2722,3849,
     4137,2964,2031)(1846,2723,3851,4181,2998,2724)(1848,2173,3155,4340,3856,
     2727)(1851,2730,3861,5010,3862,2731)(1853,2733,3866,4585,3410,2367)(1858,
     2740,3876,5024,3878,2741)(1860,2744,3881,5030,3883,2745)(1864,2751,2752)
     (1868,2756,3896,5043,3897,2757)(1869,2758,3583,4519,3340,2505)(1870,2759,
     3900,3177,2187,2760)(1879,2772,3914,3712,3916,2773)(1881,2774,3918,4195,
     3919,2775)(1883,2778,3922,3611,3250,2779)(1896,2794,3940,4993,3842,2711)
     (1898,2795,3594,3046,2098,2796)(1904,2800,2801)(1909,2805,3950,5092,3951,
     2806)(1911,2807,2808)(1912,2809,3953,5097,3954,2810)(1916,2816,3961,5107,
     3963,2817)(1919,2820,2821)(1924,2828,1939)(1926,2830)(1934,2162,2453,
     3517,3988,2839)(1937,2843)(1942,2847,2848)(1946,2853,4006,4638,3949,2854)
     (1949,2858,4013,5153,4014,2859)(1950,2860,2861)(1957,2866,2867)(1959,
     2868,4023,4760,4024,2869)(1961,2871,4027,4803,3649,2565)(1972,2885,4039,
     3783,4041,2886)(1974,2887,4043,5185,4045,2888)(1976,2891,2850,4004,4050,
     2892)(1978,2894,4053,3064,3427,2895)(1982,2898,3146,4331,4058,2899)(1985,
     2903,4064,4632,3453,2904)(1987,2905,4066,5201,4068,2906)(1993,2915,2454,
     3518,4081,2916)(1997,2781,3926,3901,4088,2921)(1998,2922,4089,4377,3192,
     2923)(1999,2924,4012,5152,4091,2925)(2005,2934,4102,5237,4104,2935)(2007,
     2937,2883,2183,3170,2938)(2019,2950,4111,2942,4107,2939)(2032,2965,4139,
     5263,4141,2966)(2036,2969,4135,2963,4134,2970)(2038,2973,4148,5271,4149,
     2974)(2042,2979)(2046,2981,4160,5281,4161,2982)(2053,2991)(2054,2330,
     3366,4545,4044,2992)(2055,2993,4173,5127,4175,2994)(2057,2996,4178,4379,
     4180,2997)(2064,3003,4188,5300,4189,3004)(2068,3007,4192,3264,4193,3008)
     (2069,3009,3700,2601,3699,3010)(2075,3016,3750,4897,4203,3017)(2077,3019,
     4206,3217,2218,3020)(2090,3033,3074,3599,4220,3034)(2097,3044,4230,5328,
     4232,3045)(2102,3052,2361,3087,4241,3053)(2109,3062,4248,5338,4250,3063)
     (2113,3068,4211,5315,4254,3069)(2114,3070,3320,2294,3319,3071)(2116,3072,
     4256,4929,4257,3073)(2119,2206,3198,4383,4259,3076)(2125,3085,4270,3128,
     2154,3086)(2129,3091,3962,5108,4278,3092)(2132,3097,4284,5065,4286,3098)
     (2134,3101,4288,5369,4290,3102)(2143,3113,3690,2593,3689,3114)(2146,3118,
     4303,3141,4304,3119)(2147,3120,2543,3380,2342,3121)(2152,3126,3127)(2155,
     3129,4316,4087,3677,3130)(2157,3132,4320,5393,4321,3133)(2166,3144,3731,
     2624,3730,3145)(2168,3148,4333,4419,4334,3149)(2170,3151,3819,4972,4338,
     3152)(2176,3160,3161)(2179,3164,4351,4888,4352,3165)(2181,3023,4210,5045,
     3898,3168)(2184,3171,4356,5297,4358,3172)(2191,3182,2516,3591,3927,2783)
     (2192,3183,4368,4082,2917,3184)(2196,3187,3394,2354,3393,3188)(2204,3194,
     4380,3843,2715,3195)(2210,3202,3203)(2213,3208,3955,5099,4392,3209)(2219,
     3218,4400,3671,4402,3219)(2221,3214,4397,5279,4156,3220)(2226,3226,4410,
     4031,2877,3227)(2230,3232,4416,4508,4418,3233)(2237,3243,3244)(2238,3245,
     4425,4684,3502,3246)(2246,2864,4019,5161,4430,3254)(2251,3258,2791,3936,
     3519,2455)(2253,3261,4435,3646,4436,3262)(2261,3272,4450,5478,4452,3273)
     (2263,3275,3276)(2264,2955,4110,5244,4122,3277)(2268,3282,4460,5486,4461,
     3283)(2270,3286,4464,5489,4466,3287)(2272,3289,4469,4612,3430,3290)(2277,
     3296,4061,5169,4117,3297)(2281,3301,4481,3490,2430,3302)(2286,3309,4337,
     3368,4326,3139)(2291,3314,4490,4752,3797,2675)(2297,3323,4499,4409,4501,
     3324)(2299,3326,4503,5320,4215,3028)(2303,3330,4507,5522,4509,3331)(2305,
     3333,3803,4731,3563,3334)(2310,3338,4516,3608,4518,3339)(2316,3345,3990,
     2840,3989,3346)(2317,3347,4476,5498,4528,3348)(2319,3351,3352)(2325,3358,
     4538,3598,2522,3359)(2329,3364,2419,3480,2534,3365)(2334,3371,4463,3360,
     4539,3372)(2344,3381,4555,5287,4172,3382)(2349,3387,4561,5363,4279,3388)
     (2351,3389,2561,3644,4563,3390)(2352,3391,4565,5381,4307,3122)(2357,3398,
     4571,3642,4573,3399)(2363,3404,4578,5576,4579,3405)(2369,3413,4590,4285,
     4592,3414)(2374,3421,4600,3937,4601,3422)(2376,2958,4126,5253,4606,3425)
     (2383,3434,4615,4293,4616,3435)(2389,3440,4128,2959,4127,3441)(2391,2424)
     (2393,3445,2683,2897,4057,3066)(2399,3060,4247,5337,4631,3452)(2401,3058,
     4244,4274,3415,3455)(2407,3463,4643,3481,4644,3464)(2409,3467,4648,5627,
     4649,3468)(2411,3470,4652,5630,4653,3471)(2413,3473,2769,3568,2496,3474)
     (2423,2475,3544,3623,2547,3485)(2432,3493,4675,4359,3173,3494)(2437,3500)
     (2441,3504,4360,5418,4687,3505)(2442,3506,3093,4217,3032,3507)(2457,3521,
     4698,5520,4699,3522)(2462,3526,3848,3221,4403,3527)(2467,3533,4709,3575,
     4710,3534)(2469,3536,3252,4428,4713,3537)(2472,3540,3305,4283,4716,3541)
     (2476,3545,4720,3562,2489,3546)(2480,3550,3551)(2487,3558,4729,5114,3968,
     3559)(2495,3030,3567)(2497,3569,4347,3162,4346,3570)(2507,3581,4747,5487,
     4748,3582)(2525,3600)(2527,3602,4763,3619,4764,3603)(2529,3606,4758,3596,
     4757,3607)(2540,3616,4725,3554,3698,3617)(2550,3626,4782,3645,4784,3627)
     (2551,3628,4785,4199,3014,3629)(2556,3637,4795,5734,4797,3638)(2567,3650,
     4804,5209,4073,3651)(2577,3664,4822,3672,4824,3665)(2580,3669,4670,3658,
     4815,3670)(2584,3675,3235,3680,2587,3676)(2591,3686,4661,3691,4841,3687)
     (2603,3703,3704)(2609,3710,4859,5773,4860,3711)(2611,3714,3292,2770,3913,
     3715)(2616,3720,4867,3841,2710,3721)(2618,3722,4846,4541,3362,3723)(2622,
     3727,4871,5780,4873,3728)(2626,3733,4647,5626,4877,3734)(2628,3736,4881,
     5790,4883,3737)(2630,3738,2679,3801,4886,3739)(2635,3744,4889,4372,4891,
     3745)(2643,3753,3754)(2645,3756,4442,5088,4902,3757)(2647,3758,4903,5469,
     4439,3759)(2649,3762,4907,5539,4533,3353)(2651,3763,4712,5675,4910,3764)
     (2653,3560,4459,3825,4746,3579)(2665,3082,4265,5352,4931,3782)(2667,3784,
     2753,3890,4332,3785)(2669,3788,4238,3050,4237,3789)(2671,3791,4939,5481,
     4455,3278)(2672,3792,4941,5827,4942,3793)(2687,3809,4608,3426,4607,3810)
     (2689,3813,4966,4781,4967,3814)(2695,3821,4975,5130,3987,3822)(2696,3823,
     4976,5856,4978,3824)(2698,3827,4911,3765,3895,3828)(2701,3831,4258,3615,
     4597,3418)(2702,3832,4005,5146,4983,3833)(2717,3844,4995,3847,2720,3845)
     (2728,3857,4988,3837,2913,3858)(2732,3863,3718,4865,5012,3864)(2734,3867,
     5015,3959,2814,3868)(2736,3871,5017,4904,5019,3872)(2742,3879,5027,5558,
     4559,3880)(2746,3884,4922,4672,3491,3775)(2747,3885,5033,4918,5034,3886)
     (2749,3887,5036,5234,4099,2932)(2754,3891,4719,5678,5040,3892)(2755,3893,
     5041,5898,5042,3894)(2761,3902,5048,4767,5050,3903)(2763,3906,4080,5217,
     5053,3907)(2767,3910,5056,4677,3495,3911)(2776,3920,5064,4770,5066,3921)
     (2780,3924,4317,4852,5070,3925)(2788,3930,3547,4721,5076,3931)(2789,3932,
     5078,5912,5079,3933)(2790,3934,2949,3948,5082,3935)(2797,3449,4628,4200,
     5087,3943)(2802,3945,3946)(2812,3957,5102,5924,5104,3958)(2818,3964,5109,
     5926,5111,3965)(2819,3966,5112,5119,3974,3967)(2822,3970,5115,5075,5116,
     3971)(2824,3972,3941)(2829,3975,5121,5086,3942,3976)(2831,3978,3979)
     (2833,3982,3983)(2837,3374,3035,4221,5129,3986)(2844,3994,3995)(2845,
     3996,3529,4704,5139,3997)(2846,3998,3999)(2849,4002,5143,4974,5144,4003)
     (2855,4007,5147,5943,5149,4008)(2857,4010,4640,3459,2910,4011)(2862,4016,
     5158,5945,5160,4017)(2870,4025,5166,4051,2893,4026)(2875,4029,5170,4032,
     2880,4030)(2881,4033,5173,5311,5175,4034)(2889,4046,4350,5414,5187,4047)
     (2896,4055,5193,4105,3396,4056)(2900,4059,4451,4155,5196,4060)(2907,4069,
     5204,5188,4049,4070)(2908,4071,5206,5432,5208,4072)(2918,4083,4898,5800,
     5195,4084)(2926,4092,3193,4378,5227,4093)(2929,4095,5071,5298,4186,3104)
     (2930,4096,5231,5496,4517,4097)(2940,4108,5242,4269,4514,4109)(2953,4120,
     5251,5029,5252,4121)(2961,4131,3376,4453,3274,4132)(2971,4146,4634,5614,
     5080,4147)(2975,4150,5273,5680,5275,4151)(2976,4124,5197,4063,3882,4152)
     (2980,4157,4408,3984,5126,4158)(2983,4162,3538,3039,3099,4163)(2987,4166,
     5286,4187,4901,4167)(2990,4170,5284,4164,5283,4171)(2995,4176,3103,4291,
     3166,4177)(2999,4182)(3000,4183,5294,5676,5296,4184)(3005,3741,4887,4355,
     3169,4190)(3013,4198,3111,3705,4842,3688)(3018,4204,5303,4196,5302,4205)
     (3021,4208,3873,5020,5314,4209)(3025,4212,3601,4761,5316,4213)(3037,4224,
     4001,5142,5326,4225)(3040,4226,4665,3483,4330,4227)(3041,3448,4222,5083,
     3938,4228)(3047,4233,4575,3400,4574,4234)(3048,3180)(3057,3303,4482,3469,
     4650,4243)(3077,4260,5304,4197,5190,4052)(3078,4261,5346,6048,5347,4262)
     (3083,4266,5353,4427,5355,4267)(3088,4272,4664,3482,4663,4273)(3095,4281,
     5364,6001,5262,4282)(3106,3708,4857,5501,5131,4292)(3109,3432,4613,4287,
     5367,4295)(3115,4298,3475,4655,5375,4299)(3116,4300,4673,5644,4831,4301)
     (3123,4308,4850,3696,4849,4309)(3125,4310,4595,4112,4483,4311)(3136,4323,
     4255,5342,4812,3656)(3137,4324,3535,4711,3829,4325)(3142,4328,3175,4362,
     4994,4194)(3150,4335,5402,4353,3877,4336)(3156,4341,4342)(3158,4296,5372,
     5518,4502,3325)(3185,4370)(3190,4374,4896,3749,4895,4375)(3196,4381,3909,
     5055,5433,4382)(3199,4384,5435,5054,3908,4385)(3201,4386,4387)(3204,4388,
     5438,6086,5440,4389)(3206,4038,5180,5610,4626,3446)(3212,4395,4708,5673,
     5447,4396)(3223,4405,5451,6095,5452,4406)(3228,3760,4412)(3238,4421,5458,
     4420,5368,4422)(3241,4424,4715,3539,4714,4253)(3259,4433,5466,4491,3315,
     4434)(3263,4437,5468,5291,4543,4438)(3266,4440,5105,4999,3850,4441)(3268,
     4444,5471,5285,5472,4445)(3270,4447,5474,5759,4836,3917)(3271,4448,5475,
     5933,5128,4449)(3279,4456,5482,5260,5483,4457)(3284,4138,4363,5419,5266,
     4462)(3288,4467,4843,5762,5491,4468)(3291,4470,5396,4322,5395,4471)(3294,
     4474,5495,5288,5497,4475)(3299,4479,4229,4695,3752,4480)(3310,4487,5270,
     5852,5505,4488)(3312,4365,5422,5332,4239,4489)(3317,4492,5507,6117,5508,
     4493)(3321,4496,5513,5719,4773,4497)(3322,3969,4774,5005,5514,4498)(3327,
     4504,5519,6100,5462,4429)(3328,4505,5521,5837,4948,4506)(3335,4512,5057,
     4588,5527,4513)(3337,4515,5528,5847,4965,3889)(3341,4520,5385,4313,4641,
     4521)(3342,4522,4629,5502,4484,4523)(3343,4524,5247,4113,5246,4525)(3349,
     4344,4529)(3354,4534,4535)(3355,4536,5541,5989,5232,4098)(3378,4553,4432,
     5465,5556,4554)(3384,4557,5557,5370,4289,4558)(3395,4568,5565,6144,5567,
     4569)(3402,4576,5573,5937,5575,4577)(3406,4580,5546,6135,5578,4581)(3407,
     4582,5579,4793,5437,4583)(3411,4586,5582,5366,5583,4587)(3416,4593,4821,
     5093,4101,4594)(3423,4602,3501,4683,4633,4603)(3436,4617,5605,4623,4242,
     4618)(3438,4619,5607,5643,4671,3489)(3442,4621,4669,3487,4318,4622)(3444,
     4624,5259,4133,5258,4625)(3451,4252,5340,5962,5612,4630)(3456,4635,5616,
     6161,5617,4636)(3457,4637,5564,6030,5339,4249)(3476,4656,5632,5371,5634,
     4657)(3478,4659,5506,5373,4297,4660)(3496,4678,5650,5648,5652,4679)(3499,
     4680,5654,5455,5655,4681)(3508,4179,4688)(3511,3947,5091,5919,5278,4690)
     (3514,4693,4694)(3523,4700,5459,5942,5666,4701)(3530,4705,5671,6185,5672,
     4706)(3531,4707,4329,4800,3641,4566)(3542,4717,5230,5649,5677,4718)(3553,
     4723,4724)(3555,4726,5682,4900,5072,3928)(3557,4727,5683,5849,5685,4728)
     (3565,4732,5687,4730,5686,4733)(3566,4734,5689,6192,5690,4735)(3571,4737,
     5694,6193,5695,4738)(3572,4739,5049,4458,5484,4740)(3573,4741,5699,4987,
     5701,4742)(3584,4749,5708,6075,5415,4354)(3585,4750,5709,6198,5710,4751)
     (3592,4753,3869,3815,4968,4754)(3604,4765,4169,4755,5711,4766)(3609,4768,
     5714,5394,5157,4769)(3621,4778,4159,5280,5656,4685)(3624,4779,5060,5906,
     5722,4780)(3630,4787,4788)(3632,4790,5730,6204,5732,4791)(3635,4106,4953,
     3804,4191,4792)(3639,4798,5737,6206,5739,4799)(3652,4806,4431,5464,5269,
     4145)(3653,4807,5745,5274,5183,4808)(3654,4809,4971,4906,5746,4810)(3655,
     3768,4915,5037,3888,4811)(3662,4819,5749,5261,4136,4820)(3666,4825,3777,
     4924,5752,4826)(3682,4834,5757,6217,5758,4835)(3684,4838,5760,6097,5456,
     4415)(3692,4844,5764,6120,5515,4845)(3695,4848,5413,6074,5534,4530)(3701,
     4486,4465)(3707,4855,5770,4853,5769,4856)(3716,4861,5774,5538,4682,4862)
     (3717,4863,5775,5110,4398,4864)(3724,4868,4823,5751,5779,4869)(3732,3746,
     4892,5101,5785,4876)(3735,4878,5786,5698,5787,4879)(3767,4913,3904,5051,
     5807,4914)(3769,4916,5809,6232,5810,4917)(3772,4357,5416,4912,5805,4919)
     (3773,4920,5812,5574,5813,4921)(3780,4927,5817,6022,5818,4928)(3786,4933,
     5330,4235,5098,4934)(3790,4937,5738,6172,5636,4938)(3794,4943,5829,5006,
     5831,4944)(3795,4945,5832,5431,5834,4946)(3798,4090,5224,5986,5838,4949)
     (3802,4952,5412,4348,5411,4609)(3805,4954,5177,5358,5842,4955)(3807,4957,
     4829,5362,4277,4958)(3811,4962,5846,5726,5820,4963)(3816,4969,4970)(3830,
     4980,5857,6225,5859,4981)(3834,4021,4984)(3839,4991,5865,5596,5828,4992)
     (3852,5000,5488,6110,5645,4674)(3854,5001,5873,5016,5679,5002)(3855,5003,
     5876,5137,5877,5004)(3860,5008,4696)(3865,5013,5014)(3874,5021,5133,3991,
     5132,5022)(3875,5023,4414)(3899,5046,5292,5423,5901,5047)(3912,5058,5641,
     4668,4662,5059)(3915,5061,5542,5761,4840,5062)(3923,5067,4339,5405,5763,
     5068)(3929,5073,5625,4646,5624,5074)(3939,5084,5917,6062,5376,4302)(3952,
     5094,5736,6205,5882,5095)(3960,5106,5923,5100,5410,4870)(3977,4908,5669,
     5918,5136,3993)(3980,5123,5124)(3992,5134,5936,6163,5622,5135)(4000,4305,
     5378,5976,5212,5141)(4009,5150,4527,4854,5771,4858)(4015,5155,5619,6162,
     5944,5156)(4020,5162,5697,6173,5947,5163)(4022,5164,5830,6053,5819,4930)
     (4035,4075,4979,4115,5248,5176)(4037,5178,5958,6023,5959,5179)(4040,5181,
     5182)(4042,4762,5530,5723,5494,5184)(4054,5191,4882,5301,5966,5192)(4065,
     5025,5199)(4067,4567,5202)(4076,4909,5804,5122,5670,5211)(4078,5213,5934,
     5210,5974,5214)(4079,5215,5978,5891,5032,5216)(4086,5222,5984,6138,5985,
     5223)(4094,5228,5794,4885,5793,5229)(4100,5235,5990,6115,5826,4940)(4103,
     5238,5584,4589,4964,5239)(4119,5249,5952,5167,5951,5250)(4129,5256,5999,
     6248,5885,5026)(4140,5264,6003,6049,6004,5265)(4144,4552,5555,6139,5977,
     5268)(4153,5276,6013,5473,4446,5277)(4174,5289,5103,4472,5493,5290)(4201,
     5306,6024,6202,5727,5307)(4202,5308,5309)(4207,5148,5778,5668,4703,5312)
     (4214,5317,5529,6126,5602,5318)(4216,5218,5981,5325,6033,5321)(4218,5322,
     6034,5955,5566,5323)(4219,4426,5460,5434,5611,4627)(4231,5125,5915,6260,
     6038,5329)(4240,4367,5424,6081,5589,5233)(4245,5334,6041,6288,6043,5335)
     (4263,4542,5544,6134,5718,5348)(4264,5349,6050,5693,6051,5350)(4268,4776,
     5336,5425,4369,5356)(4271,4454,5174,5956,6035,5324)(4276,5360,5588,4666,
     5638,5361)(4306,5379,4544,5545,6063,5380)(4312,5383,4875,5784,5341,5384)
     (4314,5386,6058,5359,4686,5387)(4315,5388,6066,6131,6067,5389)(4319,5391,
     5717,4771,5716,5392)(4327,5398,5674,5548,4905,4839)(4345,5409,4794)(4364,
     5420,6080,6078,5815,5421)(4371,5427,5428)(4376,4393,5444,5504,5159,5430)
     (4390,5441,6089,5995,5884,5151)(4391,5442,5766,6220,6090,5443)(4399,5448,
     5426,6011,5982,5219)(4401,5449,6093,5753,4828,5450)(4411,5408,6072,5531,
     4526,5454)(4417,5207,5909,6147,5577,5457)(4477,5499,5914,5081,5913,5500)
     (4485,5120,5931,5712,4759,5503)(4494,5509,4658,5635,5090,5510)(4495,5511,
     5748,4816,5400,5512)(4500,5516,6121,5908,5399,5517)(4511,5523,6123,5927,
     5850,5524)(4531,5407,5535)(4532,5536,4833,5756,5715,5537)(4546,5547,5172,
     5954,5964,5189)(4548,5549,5374,5018,5883,5550)(4549,5401,6069,5707,5996,
     5551)(4550,5552,6137,6064,5382,5553)(4551,4830,5754,5604,4614,5554)(4560,
     5559,5403,6070,5973,5205)(4562,5560,6083,6296,6141,5561)(4564,5319,6031,
     6284,6143,5562)(4570,5568,5035,5892,6145,5569)(4572,5571,6146,6269,5960,
     5467)(4584,5580,5581)(4591,5585,5586)(4598,5591,6136,6302,6150,5592)
     (4599,5593,5864,4989,5863,5594)(4604,5597,6149,5590,6148,5598)(4605,5599,
     5436,6085,6084,5600)(4611,5477,6104,5983,5220,5603)(4620,5608,5609)(4642,
     5620,5390,5811,5089,5621)(4651,5628,6167,6060,5365,5629)(4667,5639,5445,
     6091,5463,5640)(4676,5646,5647)(4689,5658,5659)(4691,5660,6094,6283,6025,
     5661)(4697,5663,5664)(4702,5203,5972,6157,6184,5667)(4736,5691,5692)
     (4743,5702,6155,5601,6154,5703)(4744,5704,5705)(4745,5706,6079,5843,5243,
     4827)(4783,5724,4961,5186,5963,5725)(4796,5572,5899,5044,5343,5735)(4801,
     5740,6125,6052,6209,5741)(4802,5052,5903,6158,5814,5742)(4805,5743,6210,
     5825,5833,5744)(4817,4960,5845,5651,5684,5245)(4832,5755,5406,6071,6014,
     5662)(4851,5767,5681,6188,5867,5768)(4866,5776,5869,4997,5868,5404)(4872,
     5781)(4874,5782,5282,5765,5085,5783)(4880,5788,5789)(4884,5791,5226,5987,
     6227,5792)(4890,5429,6082,6114,6200,5795)(4893,5623,5797)(4899,5801,5351,
     5728,5803,5802)(4925,5241,5993,5310,6026,5816)(4932,5821,5637,6119,5844,
     4959)(4935,5822,5255)(4936,5823,5254,5997,5606,5824)(4947,5835,5113,5860,
     4982,5836)(4950,5839,5840)(4973,5853,5854)(4977,5140,5939,5928,5117,5077)
     (4985,5862,6002,6189,6101,5470)(4996,5533,5171,5910,6170,5633)(4998,5870,
     5168,5221,5878,5007)(5009,5063,5907,6259,6165,5879)(5011,5880,5881)(5028,
     5887,6249,5886,6169,5631)(5031,5889,6065,5894,5038,5890)(5039,5895,5896)
     (5069,5851,6233,6289,6047,5345)(5096,5154,5874,6246,6236,5921)(5118,5929,
     5720,5543,5145,5930)(5138,5377,6021,5299,6020,5938)(5165,5949,6054,5354,
     5902,5950)(5194,5967,5968)(5198,5969,5916)(5200,5970,5971)(5225,5922,
     5941)(5236,5525,6124,5587,6000,5257)(5240,5991,5992)(5267,6005,6261,5925,
     6208,6006)(5272,6009,6010)(5293,5731,6016)(5295,6018,6019)(5305,5688,
     6191,6228,5796,5920)(5313,6028,5988,5998,6276,6029)(5327,6036,5961,5940,
     6265,6037)(5331,5897,6039)(5333,6040,6287,6303,6237,5841)(5344,6045,6257,
     5904,5480,6046)(5357,6056,6057)(5397,5613,6099,5461,6098,5642)(5417,6076,
     5729,6203,5777,6077)(5439,6087,6088)(5446,6092)(5453,5799,5953,6263,5932,
     6096)(5476,6102,6103)(5479,6105,5526,6108,5485,6106)(5490,6059,6252,6111,
     6179,5657)(5492,6112,6130,6292,6068,6113)(5532,6128,5713,5563,6127,5772)
     (5540,6132,6216,6175,6271,5979)(5570,5965,5808,6201,6274,6007)(5595,6152,
     6239,5848,6238,6153)(5615,6042,6160)(5618,5700,6151)(5653,6177,6032,6015,
     6280,6061)(5665,6182,6183)(5696,6194,5861,6224,5935,6195)(5721,5733,6027,
     5747,6212,5750)(5798,6229,6314,6186,6164,6230)(5806,6231,6012,5980,6245,
     5871)(5855,6240,6328,6329,6247,5875)(5858,6241,6242)(5866,6244)(5872,
     6129,6176,6213,6293,6073)(5888,6250,6305,6140,6304,6251)(5893,6254,6256,
     6133,6258,5905)(5900,6118,6294,6174,6297,6107)(5911,5975,6270,6324,6317,
     6199)(5946,6266,6142)(5948,6116)(5957,6267,6290,6055,6277,6268)(5994,
     6044,6275)(6008,6278,6171,6159,6307,6279)(6017,6281,6187)(6109,6211,6313,
     6219,6320,6298)(6122,6255,6301)(6156,6168)(6166,6309)(6178,6310)(6180,
     6311)(6181,6312,6197,6273,6306,6282)(6190,6299)(6196,6207)(6214,6223,
     6215,6272,6322,6222)(6218,6286,6319)(6221,6321)(6226,6323)(6234,6326,
     6243,6262,6332,6264)(6253,6285)(6291,6330)(6295,6327)(6308,6315,6318)
     (6335,6336);