z1 := (1,2)(3,6)(4,7)(5,9)(8,14)(10,17)(11,19)(12,20)(13,22)(15,25)(16,27)(18,
     30)(21,35)(23,38)(24,40)(26,43)(28,44)(29,46)(31,49)(32,51)(33,52)(34,54)
     (36,57)(37,59)(39,62)(41,65)(42,67)(45,72)(47,75)(48,77)(50,80)(53,85)
     (55,88)(56,90)(58,93)(60,96)(61,98)(63,100)(64,102)(66,105)(68,108)(69,
     110)(70,111)(71,113)(73,116)(74,118)(76,121)(78,124)(79,126)(81,129)(82,
     131)(83,132)(84,134)(86,137)(87,139)(89,136)(91,144)(92,146)(94,149)(95,
     151)(97,154)(99,157)(101,159)(103,162)(104,164)(106,166)(107,168)(109,
     135)(112,173)(114,176)(115,178)(117,181)(119,184)(120,186)(122,188)(123,
     190)(125,193)(127,196)(128,198)(130,200)(133,205)(138,211)(140,171)(141,
     214)(142,215)(143,217)(145,220)(147,223)(148,225)(150,228)(152,231)(153,
     233)(155,236)(156,238)(158,241)(160,244)(161,246)(163,249)(165,252)(167,
     255)(169,258)(170,260)(172,262)(174,265)(175,267)(177,270)(179,273)(180,
     275)(182,278)(183,280)(185,243)(187,285)(189,234)(191,290)(192,292)(194,
     295)(195,297)(197,300)(199,301)(201,304)(202,306)(203,307)(204,309)(206,
     312)(207,314)(208,315)(209,316)(210,318)(212,321)(213,323)(216,328)(218,
     331)(219,333)(221,336)(222,338)(224,340)(226,343)(227,345)(229,348)(230,
     350)(232,353)(235,357)(237,360)(239,363)(240,365)(242,368)(245,372)(247,
     375)(248,377)(250,379)(251,381)(253,382)(254,384)(256,386)(257,388)(259,
     391)(261,394)(263,397)(264,399)(266,402)(268,405)(269,406)(271,409)(272,
     411)(274,414)(276,417)(277,419)(279,422)(281,425)(282,427)(283,428)(284,
     430)(286,433)(287,435)(288,436)(289,438)(291,441)(293,444)(294,446)(296,
     449)(298,452)(299,454)(302,457)(303,459)(305,462)(308,465)(310,468)(311,
     470)(313,473)(317,479)(319,482)(320,484)(322,487)(324,490)(325,492)(326,
     493)(327,495)(329,498)(330,500)(332,503)(334,506)(335,508)(337,511)(339,
     513)(341,514)(342,515)(344,518)(346,521)(347,523)(349,526)(351,529)(352,
     531)(354,534)(355,536)(356,537)(358,540)(359,542)(361,545)(362,547)(364,
     497)(366,552)(367,554)(369,555)(370,556)(371,558)(373,561)(374,563)(376,
     566)(378,569)(380,572)(383,577)(385,580)(387,583)(389,586)(390,588)(392,
     589)(393,591)(395,594)(396,596)(398,599)(400,602)(401,604)(403,607)(404,
     609)(407,614)(408,615)(410,618)(412,621)(413,623)(415,625)(416,627)(418,
     630)(420,633)(421,635)(423,638)(424,640)(426,643)(429,648)(431,651)(432,
     653)(434,656)(437,661)(439,663)(440,665)(442,668)(443,670)(445,671)(447,
     674)(448,676)(450,679)(451,681)(453,684)(455,687)(456,689)(458,692)(460,
     693)(461,695)(463,698)(464,699)(466,702)(467,704)(469,707)(471,710)(472,
     712)(474,715)(475,717)(476,718)(477,719)(478,720)(480,723)(481,725)(483,
     728)(485,731)(486,733)(488,736)(489,738)(491,741)(494,746)(496,749)(499,
     752)(501,755)(502,757)(504,760)(505,762)(507,763)(509,766)(510,768)(512,
     771)(516,778)(517,780)(519,783)(520,785)(522,788)(524,789)(525,791)(527,
     794)(528,796)(530,798)(532,801)(533,803)(535,806)(538,811)(539,812)(541,
     815)(543,818)(544,820)(546,823)(548,826)(549,828)(550,829)(551,831)(553,
     834)(557,839)(559,842)(560,844)(562,847)(564,849)(565,851)(567,854)(568,
     856)(570,859)(571,861)(573,864)(574,866)(575,867)(576,869)(578,872)(579,
     874)(581,875)(582,877)(584,880)(585,882)(587,885)(590,890)(592,893)(593,
     895)(595,898)(597,901)(598,902)(600,905)(601,907)(603,910)(605,913)(606,
     915)(608,918)(610,921)(611,923)(612,924)(613,926)(616,931)(617,933)(619,
     936)(620,938)(622,941)(624,944)(626,947)(628,950)(629,952)(631,953)(632,
     954)(634,957)(636,960)(637,962)(639,965)(641,968)(642,970)(644,973)(645,
     975)(646,976)(647,978)(649,981)(650,983)(652,935)(654,988)(655,990)(657,
     993)(658,995)(659,996)(660,998)(662,1001)(664,1004)(667,697)(669,1010)
     (672,1015)(673,1017)(675,1020)(677,1023)(678,1025)(680,1028)(682,1031)
     (683,1033)(685,1034)(686,1036)(688,1039)(690,1042)(691,1044)(694,1047)
     (696,1050)(700,1056)(701,1058)(703,1061)(705,1064)(706,1065)(708,1068)
     (709,1070)(711,1073)(713,1076)(714,1078)(716,1081)(721,1090)(722,1092)
     (724,1095)(726,1098)(727,1100)(729,1101)(730,1102)(732,1105)(734,1108)
     (735,1110)(737,1113)(739,1116)(740,1118)(742,1121)(743,1123)(744,1124)
     (745,1126)(747,1129)(748,1131)(750,1133)(751,1135)(753,1138)(754,1140)
     (756,1143)(758,1146)(759,1148)(761,1151)(764,1156)(765,1158)(767,1161)
     (769,1164)(770,1166)(772,1169)(773,1171)(774,1172)(775,1174)(776,1175)
     (777,1177)(779,1180)(781,1183)(782,1185)(784,1188)(786,1191)(787,1193)
     (790,1196)(792,1199)(793,1201)(795,1204)(797,1206)(799,1072)(802,1212)
     (804,1215)(805,1217)(807,1220)(808,1222)(809,1223)(810,1224)(813,1229)
     (814,1231)(816,1234)(817,1236)(819,1239)(821,1240)(822,1111)(824,1244)
     (825,1246)(827,1249)(830,1254)(832,1257)(833,1258)(835,1261)(836,1263)
     (837,1264)(838,1266)(840,1269)(841,1271)(843,1274)(845,1275)(846,1082)
     (848,1278)(850,1280)(852,1283)(853,1285)(855,1288)(857,1291)(858,1292)
     (860,1295)(862,1298)(863,1300)(865,1303)(868,1308)(870,1311)(871,1313)
     (873,1316)(876,1321)(878,1324)(879,1326)(881,1329)(883,1332)(884,1334)
     (886,1337)(887,1339)(888,1340)(889,1342)(891,1345)(892,1347)(894,1350)
     (896,1353)(897,1355)(899,1358)(900,1360)(903,1365)(904,1366)(906,1369)
     (908,1372)(909,1374)(911,1377)(912,1379)(914,1382)(916,1385)(917,1387)
     (919,1390)(920,1392)(922,1395)(925,1400)(927,1403)(928,1405)(929,1406)
     (930,1408)(932,1411)(934,1414)(937,1417)(939,1420)(940,1422)(942,1425)
     (943,1427)(945,1428)(946,1430)(948,1433)(949,1435)(951,1438)(955,1445)
     (956,1447)(958,1450)(959,1452)(961,1455)(963,1456)(964,1458)(966,1461)
     (967,1463)(969,1465)(971,1468)(972,1470)(974,1473)(977,1478)(979,1481)
     (980,1483)(982,1486)(984,1488)(985,1490)(986,1491)(987,1493)(989,1496)
     (991,1499)(992,1501)(994,1504)(997,1509)(999,1512)(1000,1514)(1002,1516)
     (1003,1518)(1005,1521)(1006,1523)(1007,1524)(1008,1525)(1009,1527)(1011,
     1530)(1012,1532)(1013,1533)(1014,1534)(1016,1537)(1018,1540)(1019,1542)
     (1021,1545)(1022,1547)(1024,1550)(1026,1551)(1027,1553)(1029,1556)(1030,
     1558)(1032,1561)(1035,1566)(1037,1569)(1038,1570)(1040,1573)(1041,1575)
     (1043,1578)(1045,1581)(1046,1583)(1048,1585)(1049,1587)(1051,1590)(1052,
     1591)(1053,1593)(1054,1594)(1055,1596)(1057,1599)(1059,1602)(1060,1604)
     (1062,1607)(1063,1609)(1066,1614)(1067,1615)(1069,1618)(1071,1621)(1074,
     1625)(1075,1627)(1077,1630)(1079,1633)(1080,1635)(1083,1639)(1084,1640)
     (1085,1642)(1086,1643)(1087,1645)(1088,1646)(1089,1648)(1091,1649)(1093,
     1652)(1094,1479)(1096,1656)(1097,1658)(1099,1661)(1103,1667)(1104,1669)
     (1106,1232)(1107,1219)(1109,1675)(1112,1677)(1114,1680)(1115,1348)(1117,
     1389)(1119,1685)(1120,1687)(1122,1690)(1125,1694)(1127,1697)(1128,1699)
     (1130,1702)(1132,1705)(1134,1708)(1136,1711)(1137,1354)(1139,1715)(1141,
     1717)(1142,1719)(1144,1722)(1145,1724)(1147,1726)(1149,1729)(1150,1731)
     (1152,1734)(1153,1736)(1154,1737)(1155,1738)(1157,1741)(1159,1744)(1160,
     1746)(1162,1485)(1163,1750)(1165,1753)(1167,1756)(1168,1758)(1170,1759)
     (1173,1764)(1176,1769)(1178,1772)(1179,1774)(1181,1777)(1182,1779)(1184,
     1780)(1186,1783)(1187,1785)(1189,1788)(1190,1790)(1192,1793)(1194,1796)
     (1195,1546)(1197,1800)(1198,1802)(1200,1805)(1202,1806)(1203,1808)(1205,
     1811)(1207,1813)(1208,1815)(1209,1816)(1210,1817)(1211,1818)(1213,1821)
     (1214,1823)(1216,1826)(1218,1829)(1221,1833)(1225,1840)(1226,1842)(1227,
     1843)(1228,1845)(1230,1847)(1233,1851)(1235,1853)(1237,1856)(1238,1858)
     (1241,1861)(1242,1862)(1243,1864)(1245,1867)(1247,1870)(1248,1872)(1250,
     1875)(1251,1877)(1252,1878)(1253,1880)(1255,1883)(1256,1576)(1259,1889)
     (1260,1890)(1262,1893)(1265,1898)(1267,1901)(1268,1903)(1270,1906)(1272,
     1909)(1273,1911)(1276,1914)(1277,1915)(1279,1917)(1281,1920)(1282,1922)
     (1284,1925)(1286,1928)(1287,1930)(1289,1933)(1290,1935)(1293,1940)(1294,
     1942)(1296,1945)(1297,1947)(1299,1950)(1301,1953)(1302,1383)(1304,1957)
     (1305,1959)(1306,1960)(1307,1962)(1309,1965)(1310,1967)(1312,1968)(1314,
     1971)(1315,1484)(1317,1975)(1318,1977)(1319,1978)(1320,1980)(1322,1983)
     (1323,1985)(1325,1988)(1327,1989)(1328,1991)(1330,1994)(1331,1996)(1333,
     1998)(1335,1359)(1336,2002)(1338,2005)(1341,2010)(1343,2013)(1344,2015)
     (1346,2018)(1349,2021)(1351,2024)(1352,2026)(1356,2031)(1357,2033)(1361,
     2034)(1362,2036)(1363,2037)(1364,2039)(1367,2042)(1368,2044)(1370,2047)
     (1371,2049)(1373,2050)(1375,2051)(1376,2053)(1378,2056)(1380,2059)(1381,
     2060)(1384,2061)(1386,2064)(1388,2067)(1391,2071)(1393,2074)(1394,2076)
     (1396,2079)(1397,2081)(1398,2082)(1399,2084)(1401,2087)(1402,2089)(1404,
     2046)(1407,2096)(1409,2099)(1410,2101)(1412,2104)(1413,2106)(1415,2108)
     (1416,2110)(1418,2113)(1419,2115)(1421,2118)(1423,2121)(1424,2123)(1426,
     2126)(1429,2130)(1431,2132)(1432,2134)(1434,2137)(1436,2140)(1437,2142)
     (1439,2144)(1440,2146)(1441,2147)(1442,2149)(1443,2150)(1444,2152)(1446,
     2155)(1448,2158)(1449,2160)(1451,2163)(1453,2166)(1454,2168)(1457,2171)
     (1459,2174)(1460,2176)(1462,2179)(1464,2181)(1466,2184)(1467,2186)(1469,
     2189)(1471,2192)(1472,2194)(1474,2197)(1475,2199)(1476,2200)(1477,2119)
     (1480,2205)(1482,2208)(1487,2213)(1489,2216)(1492,2220)(1494,2223)(1495,
     2224)(1497,2226)(1498,2228)(1500,2229)(1502,2232)(1503,2234)(1505,2237)
     (1506,2238)(1507,2239)(1508,2241)(1510,2242)(1511,2243)(1513,2246)(1515,
     2247)(1517,2248)(1519,2251)(1520,2253)(1522,2256)(1526,2263)(1528,2266)
     (1529,2268)(1531,2271)(1535,2278)(1536,2280)(1538,2281)(1539,2283)(1541,
     2286)(1543,2288)(1544,2290)(1548,1554)(1549,2296)(1552,2299)(1555,2303)
     (1557,2306)(1559,2309)(1560,2311)(1562,2314)(1563,2316)(1564,2317)(1565,
     2319)(1567,2322)(1568,2324)(1571,2328)(1572,2329)(1574,2332)(1577,2336)
     (1579,2337)(1580,2339)(1582,2340)(1584,2341)(1586,2344)(1588,2347)(1589,
     2349)(1592,2352)(1595,2357)(1597,2360)(1598,2361)(1600,2364)(1601,2366)
     (1603,2369)(1605,2372)(1606,2374)(1608,2377)(1610,2380)(1611,2382)(1612,
     2383)(1613,2385)(1616,2390)(1617,2392)(1619,2395)(1620,2397)(1622,2400)
     (1623,2401)(1624,2403)(1626,2406)(1628,2409)(1629,2411)(1631,2412)(1632,
     2413)(1634,2416)(1636,2419)(1637,2421)(1638,2422)(1641,2394)(1644,2429)
     (1647,2432)(1650,2437)(1651,2439)(1653,2442)(1654,2443)(1655,2445)(1657,
     2448)(1659,2451)(1660,2453)(1662,2455)(1663,2209)(1664,2457)(1665,2458)
     (1666,2460)(1668,2463)(1670,2466)(1671,2467)(1672,2468)(1673,2469)(1676,
     2471)(1678,2474)(1679,2475)(1681,2478)(1682,2479)(1683,2480)(1684,1812)
     (1686,2032)(1688,2485)(1689,2487)(1691,2490)(1692,2063)(1693,2492)(1695,
     2495)(1696,2497)(1698,2498)(1700,2501)(1701,2503)(1703,2506)(1704,2508)
     (1706,2511)(1707,2513)(1709,2516)(1710,2518)(1712,2521)(1713,2522)(1714,
     2524)(1716,2527)(1718,2529)(1720,2532)(1721,2533)(1723,2536)(1725,2538)
     (1727,2540)(1728,2542)(1730,2545)(1732,2548)(1733,2549)(1735,2552)(1739,
     2559)(1740,2561)(1742,2562)(1743,2564)(1745,2567)(1747,2570)(1748,2572)
     (1749,2573)(1751,2576)(1752,2578)(1754,2579)(1755,2580)(1757,2582)(1760,
     2585)(1761,2587)(1762,2588)(1763,2590)(1765,2593)(1766,2595)(1767,2596)
     (1768,2598)(1770,2601)(1771,2603)(1773,2606)(1775,2609)(1776,2611)(1778,
     2614)(1781,2619)(1782,2621)(1784,2624)(1786,2627)(1787,2629)(1789,2632)
     (1791,2635)(1792,2637)(1794,2638)(1795,2640)(1797,2643)(1798,2644)(1799,
     2646)(1801,2649)(1803,2652)(1804,2654)(1807,2657)(1809,2660)(1810,2662)
     (1814,2667)(1819,2676)(1820,2677)(1822,2680)(1824,2683)(1825,2685)(1827,
     2688)(1828,2690)(1830,2693)(1831,2694)(1832,2696)(1834,2699)(1835,2701)
     (1836,2702)(1837,2704)(1838,1969)(1839,2706)(1841,2709)(1844,2714)(1846,
     2717)(1848,2720)(1849,2722)(1850,2723)(1852,2726)(1854,2729)(1855,2731)
     (1857,2734)(1859,2737)(1860,2739)(1863,2744)(1865,2745)(1866,2615)(1868,
     2749)(1869,2751)(1871,2753)(1873,2755)(1874,2757)(1876,2760)(1879,2765)
     (1881,2768)(1882,2770)(1884,2773)(1885,2774)(1886,2776)(1887,2777)(1888,
     2779)(1891,2784)(1892,2786)(1894,2789)(1895,2791)(1896,2792)(1897,2794)
     (1899,2797)(1900,2799)(1902,2800)(1904,2803)(1905,2805)(1907,2807)(1908,
     2809)(1910,2812)(1912,2815)(1913,2817)(1916,2822)(1918,2825)(1919,2827)
     (1921,2830)(1923,2833)(1924,2834)(1926,2837)(1927,2839)(1929,2842)(1931,
     2845)(1932,2847)(1934,2850)(1936,2853)(1937,2605)(1938,2855)(1939,2857)
     (1941,2860)(1943,2861)(1944,2863)(1946,2864)(1948,2867)(1949,2869)(1951,
     2870)(1952,2871)(1954,2873)(1955,2874)(1956,2876)(1958,2879)(1961,2884)
     (1963,2886)(1964,2888)(1966,2891)(1970,2897)(1972,2900)(1973,2901)(1974,
     2903)(1976,2904)(1979,2909)(1981,2912)(1982,2913)(1984,2916)(1986,2919)
     (1987,2921)(1990,2924)(1992,2927)(1993,2928)(1995,2931)(1997,2933)(1999,
     2936)(2000,2938)(2001,2939)(2003,2940)(2004,2942)(2006,2872)(2007,2946)
     (2008,2947)(2009,2885)(2011,2949)(2012,2951)(2014,2952)(2016,2953)(2017,
     2955)(2019,2956)(2020,2958)(2022,2959)(2023,2960)(2025,2961)(2027,2964)
     (2028,2966)(2029,2967)(2030,2969)(2035,2976)(2038,2981)(2040,2984)(2041,
     2986)(2043,2989)(2045,2991)(2048,2994)(2052,2999)(2054,2182)(2055,2212)
     (2057,3004)(2058,3006)(2062,3013)(2065,3016)(2066,3018)(2068,3021)(2069,
     3022)(2070,2586)(2072,3026)(2073,3028)(2075,3029)(2077,3032)(2078,3034)
     (2080,3037)(2083,3042)(2085,3045)(2086,3047)(2088,3050)(2090,3053)(2091,
     3055)(2092,3056)(2093,3058)(2094,3059)(2095,3061)(2097,3062)(2098,3064)
     (2100,3066)(2102,3069)(2103,3071)(2105,3074)(2107,3077)(2109,3080)(2111,
     3083)(2112,3085)(2114,3088)(2116,3090)(2117,3092)(2120,3096)(2122,3099)
     (2124,3102)(2125,3104)(2127,3107)(2128,3109)(2129,3110)(2131,3111)(2133,
     3114)(2135,3117)(2136,3118)(2138,3119)(2139,3120)(2141,3123)(2143,3126)
     (2145,3129)(2148,3134)(2151,3139)(2153,3142)(2154,3144)(2156,3147)(2157,
     3149)(2159,3150)(2161,3153)(2162,3155)(2164,3158)(2165,3160)(2167,3163)
     (2169,3166)(2170,3168)(2172,3171)(2173,3173)(2175,3176)(2177,3177)(2178,
     3179)(2180,3182)(2183,3186)(2185,3189)(2187,3192)(2188,3193)(2190,3196)
     (2191,3198)(2193,3201)(2195,3204)(2196,3206)(2198,3209)(2201,2948)(2202,
     3211)(2203,3212)(2204,2950)(2206,3213)(2207,3215)(2210,3216)(2211,3217)
     (2214,3220)(2215,3222)(2217,3225)(2218,3227)(2219,3228)(2221,3230)(2222,
     3232)(2225,3237)(2227,3238)(2230,3243)(2231,3245)(2233,3248)(2235,3251)
     (2236,3252)(2240,3258)(2244,3264)(2245,3266)(2249,3271)(2250,3273)(2252,
     3276)(2254,3279)(2255,3281)(2257,3284)(2258,3286)(2259,3287)(2260,3288)
     (2261,3289)(2262,3291)(2264,3294)(2265,3296)(2267,3299)(2269,3302)(2270,
     3304)(2272,3307)(2273,3309)(2274,3310)(2275,3311)(2276,3312)(2277,3314)
     (2279,3317)(2282,3322)(2284,3325)(2285,3327)(2287,3330)(2289,3331)(2291,
     3334)(2292,3336)(2293,3337)(2294,3339)(2295,3340)(2297,3343)(2298,3345)
     (2300,3348)(2301,3350)(2302,3351)(2304,3352)(2305,3354)(2307,3357)(2308,
     3359)(2310,3361)(2312,3364)(2313,3366)(2315,3369)(2318,3374)(2320,3377)
     (2321,3379)(2323,3381)(2325,3039)(2326,3385)(2327,3386)(2330,3389)(2331,
     3391)(2333,3394)(2334,3396)(2335,3397)(2338,3402)(2342,3408)(2343,3410)
     (2345,3413)(2346,3415)(2350,3418)(2351,3419)(2353,3422)(2354,3424)(2355,
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     20308)(19660,20312)(19662,20313)(19668,20273)(19680,19891)(19682,20321)
     (19690,19983)(19692,20323)(19694,20122)(19695,19864)(19698,19946)(19705,
     20331)(19706,20299)(19708,20318)(19712,20336)(19713,20337)(19718,20230)
     (19719,20338)(19721,20153)(19724,20339)(19725,20197)(19728,20340)(19732,
     20342)(19736,20343)(19737,20345)(19741,19807)(19742,20347)(19743,20348)
     (19744,19808)(19745,20240)(19749,19886)(19751,20349)(19752,20350)(19753,
     20203)(19756,20353)(19761,20357)(19762,20358)(19765,20361)(19768,20181)
     (19770,19960)(19775,20333)(19776,20368)(19779,19791)(19783,20371)(19787,
     20344)(19793,20016)(19797,19984)(19803,20373)(19804,20375)(19806,20377)
     (19810,19830)(19811,19833)(19812,20242)(19815,19943)(19818,20386)(19819,
     20309)(19820,19995)(19827,20352)(19828,20388)(19832,19856)(19834,20393)
     (19835,20394)(19836,20395)(19839,20396)(19843,19854)(19846,20327)(19848,
     20326)(19852,20387)(19859,20238)(19860,19958)(19863,20103)(19867,19909)
     (19868,20278)(19872,20404)(19878,20409)(19879,20411)(19881,20412)(19883,
     20235)(19884,20222)(19896,20419)(19899,20422)(19901,20224)(19902,20322)
     (19903,20128)(19906,20424)(19907,20034)(19913,20079)(19918,20425)(19919,
     20426)(19940,20398)(19941,20423)(19945,20399)(19947,20431)(19955,20435)
     (19956,20056)(19961,20436)(19965,20438)(19966,20439)(19968,20006)(19971,
     20441)(19975,20445)(19976,20446)(19978,20442)(19981,20159)(19985,20384)
     (19986,20448)(19989,20449)(19990,20413)(19992,20452)(19994,20069)(20010,
     20335)(20011,20459)(20018,20463)(20023,20177)(20024,20077)(20025,20467)
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     20268)(20044,20475)(20045,20476)(20046,20460)(20047,20478)(20048,20480)
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     20183)(20065,20450)(20070,20172)(20073,20495)(20078,20497)(20080,20134)
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     20510)(20106,20511)(20107,20507)(20108,20506)(20109,20366)(20119,20519)
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     20407)(20170,20285)(20171,20547)(20176,20251)(20178,20550)(20180,20464)
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     (20707,20732)(20716,20719)(20717,20736)(20729,20735);