剑指offer 重建二叉树
参与人数：5246 时间限制：1秒 空间限制：32768K
分析：
如图所示，先在中序中找到根节点的位置inRootpos，然后根节点左边递归地生成左子树，根节点右边递归地生成右子树.
其中preRootpos是逐一右移的.
AC代码：
#include <iostream>
#include <vector>
using namespace std;
struct TreeNode {
int val;
TreeNode *left;
TreeNode *right;
TreeNode(int x) : val(x), left(NULL), right(NULL) {}
};
class Solution {
public:
struct TreeNode* reConstructBinaryTree(vector<int> pre,vector<int> in)
{
if(pre.size() != in.size() || pre.size()==0 || in.size()==0) return NULL;
else {
TreeNode* inRoot = createTreeHelper(pre,in, 0, 0, in.size()-1);
return inRoot;
}
}
TreeNode* createTreeHelper(vector<int> pre,vector<int> in, int preRootpos, int inLeft,int inRight)
{ // pre:前序，in:中序, preRoot: 前序中的根节点,inLeft:中序中的左边界，inRight:中序中的右边界
int inRootpos, RootVal;
RootVal = pre[preRootpos]; // 不建议使用.at()取下标的值
// cout<<preRootpos<<endl;
if(inLeft>inRight) return NULL;
for(int i=inLeft; i<=inRight; i++)
{
if(in[i] == RootVal)
inRootpos = i; // 找到根节点在中序中的位置inRootpos，for循环中循环完成后增量i无法使用，于是用全局变量存储下来
}
int leftLen=inRootpos-inLeft;
TreeNode* inRoot = new TreeNode(RootVal);
inRoot->left = createTreeHelper(pre,in, preRootpos+1,inLeft,inRootpos-1);
inRoot->right = createTreeHelper(pre,in, preRootpos+leftLen+1,inRootpos+1,inRight); //注意这里的下一个根节点的位置
return inRoot;
}
};
// 以下为测试部分
/*
void InTraverse(TreeNode *pRoot)
{
if(pRoot == NULL) return;
InTraverse(pRoot->left); // 遍历左子树
cout<<pRoot->val<<" "; // 访问根节点
InTraverse(pRoot->right); // 遍历右子树
}
void PostTraverse(TreeNode *pRoot)
{
if(pRoot == NULL) return;
PostTraverse(pRoot->left); // 后序遍历左子树
PostTraverse(pRoot->right); // 后序遍历右子树
cout<<pRoot->val<<" "; // 访问根节点
}
int main()
{
int arrA[7] = {1,2,3,4,5,6,7};
int arrB[7] = {3,2,4,1,6,5,7};
vector<int> a(arrA,arrA+7);
vector<int> b(arrB,arrB+7);
Solution sol;
TreeNode *root;
root = sol.reConstructBinaryTree(a,b);
// PostTraverse(root);
InTraverse(root);
return 0;
}
*/Leecode AC代码：
class Solution {
public:
TreeNode* buildTree(vector<int>& preorder, vector<int>& inorder) {
if(preorder.size() != inorder.size() || preorder.size()==0 || inorder.size()==0) return NULL;
else {
return createTreeHelper(preorder,inorder, 0, 0, inorder.size()-1);
}
}
TreeNode* createTreeHelper(vector<int> &preorder,vector<int> &inorder, int preRootpos, int inLeft,int inRight)
{
int inRootpos, RootVal;
RootVal = preorder[preRootpos];
if(inLeft>inRight) return NULL;
for(int i=inLeft; i<=inRight; i++)
{
if(inorder[i] == RootVal)
inRootpos = i;
}
int leftLen=inRootpos-inLeft;
TreeNode* inRoot = new TreeNode(RootVal);
inRoot->left = createTreeHelper(preorder,inorder, preRootpos+1,inLeft,inRootpos-1);
inRoot->right = createTreeHelper(preorder,inorder, preRootpos+leftLen+1,inRootpos+1,inRight);
return inRoot;
}
};ps: 刚开始函数 createTreeHelper没使用&引用传递，提交时总是提示 Memory Limit Exceeded，加上后轻松AC。
Status: Memory Limit Exceeded
Last executed input:
[-999,-998,-997,-996,-995,-994,-993,-992,-991,-990,-989,-988,-987,-986,-985,-984,-983,-982,-981,-980,-979,-978,-977,-976,-975,-974,-973,-972,-971,-970,-969,-968,-967,-966,-965,-964,-963,-962,-961,-960,-959,-958,-957,-956,-955,-954,-953,-952,-951,-950,-949,-948,-947,-946,-945,-944,-943,-942,-941,-940,-939,-938,-937,-936,-935,-934,-933,-932,-931,-930,-929,-928,-927,-926,-925,-924,-923,-922,-921,-920,-919,-918,-917,-916,-915,-914,-913,-912,-911,-910,-909,-908,-907,-906,-905,-904,-903,-902,-901,-900,-899,-898,-897,-896,-895,-894,-893,-892,-891,-890,-889,-888,-887,-886,-885,-884,-883,-882,-881,-880,-879,-878,-877,-876,-875,-874,-873,-872,-871,-870,-869,-868,-867,-866,-865,-864,-863,-862,-861,-860,-859,-858,-857,-856,-855,-854,-853,-852,-851,-850,-849,-848,-847,-846,-845,-844,-843,-842,-841,-840,-839,-838,-837,-836,-835,-834,-833,-832,-831,-830,-829,-828,-827,-826,-825,-824,-823,-822,-821,-820,-819,-818,-817,-816,-815,-814,-813,-812,-811,-810,-809,-808,-807,-806,-805,-804,-803,-802,-801,-800,-799,-798,-797,-796,-795,-794,-793,-792,-791,-790,-789,-788,-787,-786,-785,-784,-783,-782,-781,-780,-779,-778,-777,-776,-775,-774,-773,-772,-771,-770,-769,-768,-767,-766,-765,-764,-763,-762,-761,-760,-759,-758,-757,-756,-755,-754,-753,-752,-751,-750,-749,-748,-747,-746,-745,-744,-743,-742,-741,-740,-739,-738,-737,-736,-735,-734,-733,-732,-731,-730,-729,-728,-727,-726,-725,-724,-723,-722,-721,-720,-719,-718,-717,-716,-715,-714,-713,-712,-711,-710,-709,-708,-707,-706,-705,-704,-703,-702,-701,-700,-699,-698,-697,-696,-695,-694,-693,-692,-691,-690,-689,-688,-687,-686,-685,-684,-683,-682,-681,-680,-679,-678,-677,-676,-675,-674,-673,-672,-671,-670,-669,-668,-667,-666,-665,-664,-663,-662,-661,-660,-659,-658,-657,-656,-655,-654,-653,-652,-651,-650,-649,-648,-647,-646,-645,-644,-643,-642,-641,-640,-639,-638,-637,-636,-635,-634,-633,-632,-631,-630,-629,-628,-627,-626,-625,-624,-623,-622,-621,-620,-619,-618,-617,-616,-615,-614,-613,-612,-611,-610,-609,-608,-607,-606,-605,-604,-603,-602,-601,-600,-599,-598,-597,-596,-595,-594,-593,-592,-591,-590,-589,-588,-587,-586,-585,-584,-583,-582,-581,-580,-579,-578,-577,-576,-575,-574,-573,-572,-571,-570,-569,-568,-567,-566,-565,-564,-563,-562,-561,-560,-559,-558,-557,-556,-555,-554,-553,-552,-551,-550,-549,-548,-547,-546,-545,-544,-543,-542,-541,-540,-539,-538,-537,-536,-535,-534,-533,-532,-531,-530,-529,-528,-527,-526,-525,-524,-523,-522,-521,-520,-519,-518,-517,-516,-515,-514,-513,-512,-511,-510,-509,-508,-507,-506,-505,-504,-503,-502,-501,-500,-499,-498,-497,-496,-495,-494,-493,-492,-491,-490,-489,-488,-487,-486,-485,-484,-483,-482,-481,-480,-479,-478,-477,-476,-475,-474,-473,-472,-471,-470,-469,-468,-467,-466,-465,-464,-463,-462,-461,-460,-459,-458,-457,-456,-455,-454,-453,-452,-451,-450,-449,-448,-447,-446,-445,-444,-443,-442,-441,-440,-439,-438,-437,-436,-435,-434,-433,-432,-431,-430,-429,-428,-427,-426,-425,-424,-423,-422,-421,-420,-419,-418,-417,-416,-415,-414,-413,-412,-411,-410,-409,-408,-407,-406,-405,-404,-403,-402,-401,-400,-399,-398,-397,-396,-395,-394,-393,-392,-391,-390,-389,-388,-387,-386,-385,-384,-383,-382,-381,-380,-379,-378,-377,-376,-375,-374,-373,-372,-371,-370,-369,-368,-367,-366,-365,-364,-363,-362,-361,-360,-359,-358,-357,-356,-355,-354,-353,-352,-351,-350,-349,-348,-347,-346,-345,-344,-343,-342,-341,-340,-339,-338,-337,-336,-335,-334,-333,-332,-331,-330,-329,-328,-327,-326,-325,-324,-323,-322,-321,-320,-319,-318,-317,-316,-315,-314,-313,-312,-311,-310,-309,-308,-307,-306,-305,-304,-303,-302,-301,-300,-299,-298,-297,-296,-295,-294,-293,-292,-291,-290,-289,-288,-287,-286,-285,-284,-283,-282,-281,-280,-279,-278,-277,-276,-275,-274,-273,-272,-271,-270,-269,-268,-267,-266,-265,-264,-263,-262,-261,-260,-259,-258,-257,-256,-255,-254,-253,-252,-251,-250,-249,-248,-247,-246,-245,-244,-243,-242,-241,-240,-239,-238,-237,-236,-235,-234,-233,-232,-231,-230,-229,-228,-227,-226,-225,-224,-223,-222,-221,-220,-219,-218,-217,-216,-215,-214,-213,-212,-211,-210,-209,-208,-207,-206,-205,-204,-203,-202,-201,-200,-199,-198,-197,-196,-195,-194,-193,-192,-191,-190,-189,-188,-187,-186,-185,-184,-183,-182,-181,-180,-179,-178,-177,-176,-175,-174,-173,-172,-171,-170,-169,-168,-167,-166,-165,-164,-163,-162,-161,-160,-159,-158,-157,-156,-155,-154,-153,-152,-151,-150,-149,-148,-147,-146,-145,-144,-143,-142,-141,-140,-139,-138,-137,-136,-135,-134,-133,-132,-131,-130,-129,-128,-127,-126,-125,-124,-123,-122,-121,-120,-119,-118,-117,-116,-115,-114,-113,-112,-111,-110,-109,-108,-107,-106,-105,-104,-103,-102,-101,-100,-99,-98,-97,-96,-95,-94,-93,-92,-91,-90,-89,-88,-87,-86,-85,-84,-83,-82,-81,-80,-79,-78,-77,-76,-75,-74,-73,-72,-71,-70,-69,-68,-67,-66,-65,-64,-63,-62,-61,-60,-59,-58,-57,-56,-55,-54,-53,-52,-51,-50,-49,-48,-47,-46,-45,-44,-43,-42,-41,-40,-39,-38,-37,-36,-35,-34,-33,-32,-31,-30,-29,-28,-27,-26,-25,-24,-23,-22,-21,-20,-19,-18,-17,-16,-15,-14,-13,-12,-11,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000][2000,1999,1998,1997,1996,1995,1994,1993,1992,1991,1990,1989,1988,1987,1986,1985,1984,1983,1982,1981,1980,1979,1978,1977,1976,1975,1974,1973,1972,1971,1970,1969,1968,1967,1966,1965,1964,1963,1962,1961,1960,1959,1958,1957,1956,1955,1954,1953,1952,1951,1950,1949,1948,1947,1946,1945,1944,1943,1942,1941,1940,1939,1938,1937,1936,1935,1934,1933,1932,1931,1930,1929,1928,1927,1926,1925,1924,1923,1922,1921,1920,1919,1918,1917,1916,1915,1914,1913,1912,1911,1910,1909,1908,1907,1906,1905,1904,1903,1902,1901,1900,1899,1898,1897,1896,1895,1894,1893,1892,1891,1890,1889,1888,1887,1886,1885,1884,1883,1882,1881,1880,1879,1878,1877,1876,1875,1874,1873,1872,1871,1870,1869,1868,1867,1866,1865,1864,1863,1862,1861,1860,1859,1858,1857,1856,1855,1854,1853,1852,1851,1850,1849,1848,1847,1846,1845,1844,1843,1842,1841,1840,1839,1838,1837,1836,1835,1834,1833,1832,1831,1830,1829,1828,1827,1826,1825,1824,1823,1822,1821,1820,1819,1818,1817,1816,1815,1814,1813,1812,1811,1810,1809,1808,1807,1806,1805,1804,1803,1802,1801,1800,1799,1798,1797,1796,1795,1794,1793,1792,1791,1790,1789,1788,1787,1786,1785,1784,1783,1782,1781,1780,1779,1778,1777,1776,1775,1774,1773,1772,1771,1770,1769,1768,1767,1766,1765,1764,1763,1762,1761,1760,1759,1758,1757,1756,1755,1754,1753,1752,1751,1750,1749,1748,1747,1746,1745,1744,1743,1742,1741,1740,1739,1738,1737,1736,1735,1734,1733,1732,1731,1730,1729,1728,1727,1726,1725,1724,1723,1722,1721,1720,1719,1718,1717,1716,1715,1714,1713,1712,1711,1710,1709,1708,1707,1706,1705,1704,1703,1702,1701,1700,1699,1698,1697,1696,1695,1694,1693,1692,1691,1690,1689,1688,1687,1686,1685,1684,1683,1682,1681,1680,1679,1678,1677,1676,1675,1674,1673,1672,1671,1670,1669,1668,1667,1666,1665,1664,1663,1662,1661,1660,1659,1658,1657,1656,1655,1654,1653,1652,1651,1650,1649,1648,1647,1646,1645,1644,1643,1642,1641,1640,1639,1638,1637,1636,1635,1634,1633,1632,1631,1630,1629,1628,1627,1626,1625,1624,1623,1622,1621,1620,1619,1618,1617,1616,1615,1614,1613,1612,1611,1610,1609,1608,1607,1606,1605,1604,1603,1602,1601,1600,1599,1598,1597,1596,1595,1594,1593,1592,1591,1590,1589,1588,1587,1586,1585,1584,1583,1582,1581,1580,1579,1578,1577,1576,1575,1574,1573,1572,1571,1570,1569,1568,1567,1566,1565,1564,1563,1562,1561,1560,1559,1558,1557,1556,1555,1554,1553,1552,1551,1550,1549,1548,1547,1546,1545,1544,1543,1542,1541,1540,1539,1538,1537,1536,1535,1534,1533,1532,1531,1530,1529,1528,1527,1526,1525,1524,1523,1522,1521,1520,1519,1518,1517,1516,1515,1514,1513,1512,1511,1510,1509,1508,1507,1506,1505,1504,1503,1502,1501,1500,1499,1498,1497,1496,1495,1494,1493,1492,1491,1490,1489,1488,1487,1486,1485,1484,1483,1482,1481,1480,1479,1478,1477,1476,1475,1474,1473,1472,1471,1470,1469,1468,1467,1466,1465,1464,1463,1462,1461,1460,1459,1458,1457,1456,1455,1454,1453,1452,1451,1450,1449,1448,1447,1446,1445,1444,1443,1442,1441,1440,1439,1438,1437,1436,1435,1434,1433,1432,1431,1430,1429,1428,1427,1426,1425,1424,1423,1422,1421,1420,1419,1418,1417,1416,1415,1414,1413,1412,1411,1410,1409,1408,1407,1406,1405,1404,1403,1402,1401,1400,1399,1398,1397,1396,1395,1394,1393,1392,1391,1390,1389,1388,1387,1386,1385,1384,1383,1382,1381,1380,1379,1378,1377,1376,1375,1374,1373,1372,1371,1370,1369,1368,1367,1366,1365,1364,1363,1362,1361,1360,1359,1358,1357,1356,1355,1354,1353,1352,1351,1350,1349,1348,1347,1346,1345,1344,1343,1342,1341,1340,1339,1338,1337,1336,1335,1334,1333,1332,1331,1330,1329,1328,1327,1326,1325,1324,1323,1322,1321,1320,1319,1318,1317,1316,1315,1314,1313,1312,1311,1310,1309,1308,1307,1306,1305,1304,1303,1302,1301,1300,1299,1298,1297,1296,1295,1294,1293,1292,1291,1290,1289,1288,1287,1286,1285,1284,1283,1282,1281,1280,1279,1278,1277,1276,1275,1274,1273,1272,1271,1270,1269,1268,1267,1266,1265,1264,1263,1262,1261,1260,1259,1258,1257,1256,1255,1254,1253,1252,1251,1250,1249,1248,1247,1246,1245,1244,1243,1242,1241,1240,1239,1238,1237,1236,1235,1234,1233,1232,1231,1230,1229,1228,1227,1226,1225,1224,1223,1222,1221,1220,1219,1218,1217,1216,1215,1214,1213,1212,1211,1210,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1199,1198,1197,1196,1195,1194,1193,1192,1191,1190,1189,1188,1187,1186,1185,1184,1183,1182,1181,1180,1179,1178,1177,1176,1175,1174,1173,1172,1171,1170,1169,1168,1167,1166,1165,1164,1163,1162,1161,1160,1159,1158,1157,1156,1155,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,1137,1136,1135,1134,1133,1132,1131,1130,1129,1128,1127,1126,1125,1124,1123,1122,1121,1120,1119,1118,1117,1116,1115,1114,1113,1112,1111,1110,1109,1108,1107,1106,1105,1104,1103,1102,1101,1100,1099,1098,1097,1096,1095,1094,1093,1092,1091,1090,1089,1088,1087,1086,1085,1084,1083,1082,1081,1080,1079,1078,1077,1076,1075,1074,1073,1072,1071,1070,1069,1068,1067,1066,1065,1064,1063,1062,1061,1060,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1049,1048,1047,1046,1045,1044,1043,1042,1041,1040,1039,1038,1037,1036,1035,1034,1033,1032,1031,1030,1029,1028,1027,1026,1025,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,991,990,989,988,987,986,985,984,983,982,981,980,979,978,977,976,975,974,973,972,971,970,969,968,967,966,965,964,963,962,961,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,932,931,930,929,928,927,926,925,924,923,922,921,920,919,918,917,916,915,914,913,912,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,895,894,893,892,891,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,874,873,872,871,870,869,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,851,850,849,848,847,846,845,844,843,842,841,840,839,838,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0,-1,-2,-3,-4,-5,-6,-7,-8,-9,-10,-11,-12,-13,-14,-15,-16,-17,-18,-19,-20,-21,-22,-23,-24,-25,-26,-27,-28,-29,-30,-31,-32,-33,-34,-35,-36,-37,-38,-39,-40,-41,-42,-43,-44,-45,-46,-47,-48,-49,-50,-51,-52,-53,-54,-55,-56,-57,-58,-59,-60,-61,-62,-63,-64,-65,-66,-67,-68,-69,-70,-71,-72,-73,-74,-75,-76,-77,-78,-79,-80,-81,-82,-83,-84,-85,-86,-87,-88,-89,-90,-91,-92,-93,-94,-95,-96,-97,-98,-99,-100,-101,-102,-103,-104,-105,-106,-107,-108,-109,-110,-111,-112,-113,-114,-115,-116,-117,-118,-119,-120,-121,-122,-123,-124,-125,-126,-127,-128,-129,-130,-131,-132,-133,-134,-135,-136,-137,-138,-139,-140,-141,-142,-143,-144,-145,-146,-147,-148,-149,-150,-151,-152,-153,-154,-155,-156,-157,-158,-159,-160,-161,-162,-163,-164,-165,-166,-167,-168,-169,-170,-171,-172,-173,-174,-175,-176,-177,-178,-179,-180,-181,-182,-183,-184,-185,-186,-187,-188,-189,-190,-191,-192,-193,-194,-195,-196,-197,-198,-199,-200,-201,-202,-203,-204,-205,-206,-207,-208,-209,-210,-211,-212,-213,-214,-215,-216,-217,-218,-219,-220,-221,-222,-223,-224,-225,-226,-227,-228,-229,-230,-231,-232,-233,-234,-235,-236,-237,-238,-239,-240,-241,-242,-243,-244,-245,-246,-247,-248,-249,-250,-251,-252,-253,-254,-255,-256,-257,-258,-259,-260,-261,-262,-263,-264,-265,-266,-267,-268,-269,-270,-271,-272,-273,-274,-275,-276,-277,-278,-279,-280,-281,-282,-283,-284,-285,-286,-287,-288,-289,-290,-291,-292,-293,-294,-295,-296,-297,-298,-299,-300,-301,-302,-303,-304,-305,-306,-307,-308,-309,-310,-311,-312,-313,-314,-315,-316,-317,-318,-319,-320,-321,-322,-323,-324,-325,-326,-327,-328,-329,-330,-331,-332,-333,-334,-335,-336,-337,-338,-339,-340,-341,-342,-343,-344,-345,-346,-347,-348,-349,-350,-351,-352,-353,-354,-355,-356,-357,-358,-359,-360,-361,-362,-363,-364,-365,-366,-367,-368,-369,-370,-371,-372,-373,-374,-375,-376,-377,-378,-379,-380,-381,-382,-383,-384,-385,-386,-387,-388,-389,-390,-391,-392,-393,-394,-395,-396,-397,-398,-399,-400,-401,-402,-403,-404,-405,-406,-407,-408,-409,-410,-411,-412,-413,-414,-415,-416,-417,-418,-419,-420,-421,-422,-423,-424,-425,-426,-427,-428,-429,-430,-431,-432,-433,-434,-435,-436,-437,-438,-439,-440,-441,-442,-443,-444,-445,-446,-447,-448,-449,-450,-451,-452,-453,-454,-455,-456,-457,-458,-459,-460,-461,-462,-463,-464,-465,-466,-467,-468,-469,-470,-471,-472,-473,-474,-475,-476,-477,-478,-479,-480,-481,-482,-483,-484,-485,-486,-487,-488,-489,-490,-491,-492,-493,-494,-495,-496,-497,-498,-499,-500,-501,-502,-503,-504,-505,-506,-507,-508,-509,-510,-511,-512,-513,-514,-515,-516,-517,-518,-519,-520,-521,-522,-523,-524,-525,-526,-527,-528,-529,-530,-531,-532,-533,-534,-535,-536,-537,-538,-539,-540,-541,-542,-543,-544,-545,-546,-547,-548,-549,-550,-551,-552,-553,-554,-555,-556,-557,-558,-559,-560,-561,-562,-563,-564,-565,-566,-567,-568,-569,-570,-571,-572,-573,-574,-575,-576,-577,-578,-579,-580,-581,-582,-583,-584,-585,-586,-587,-588,-589,-590,-591,-592,-593,-594,-595,-596,-597,-598,-599,-600,-601,-602,-603,-604,-605,-606,-607,-608,-609,-610,-611,-612,-613,-614,-615,-616,-617,-618,-619,-620,-621,-622,-623,-624,-625,-626,-627,-628,-629,-630,-631,-632,-633,-634,-635,-636,-637,-638,-639,-640,-641,-642,-643,-644,-645,-646,-647,-648,-649,-650,-651,-652,-653,-654,-655,-656,-657,-658,-659,-660,-661,-662,-663,-664,-665,-666,-667,-668,-669,-670,-671,-672,-673,-674,-675,-676,-677,-678,-679,-680,-681,-682,-683,-684,-685,-686,-687,-688,-689,-690,-691,-692,-693,-694,-695,-696,-697,-698,-699,-700,-701,-702,-703,-704,-705,-706,-707,-708,-709,-710,-711,-712,-713,-714,-715,-716,-717,-718,-719,-720,-721,-722,-723,-724,-725,-726,-727,-728,-729,-730,-731,-732,-733,-734,-735,-736,-737,-738,-739,-740,-741,-742,-743,-744,-745,-746,-747,-748,-749,-750,-751,-752,-753,-754,-755,-756,-757,-758,-759,-760,-761,-762,-763,-764,-765,-766,-767,-768,-769,-770,-771,-772,-773,-774,-775,-776,-777,-778,-779,-780,-781,-782,-783,-784,-785,-786,-787,-788,-789,-790,-791,-792,-793,-794,-795,-796,-797,-798,-799,-800,-801,-802,-803,-804,-805,-806,-807,-808,-809,-810,-811,-812,-813,-814,-815,-816,-817,-818,-819,-820,-821,-822,-823,-824,-825,-826,-827,-828,-829,-830,-831,-832,-833,-834,-835,-836,-837,-838,-839,-840,-841,-842,-843,-844,-845,-846,-847,-848,-849,-850,-851,-852,-853,-854,-855,-856,-857,-858,-859,-860,-861,-862,-863,-864,-865,-866,-867,-868,-869,-870,-871,-872,-873,-874,-875,-876,-877,-878,-879,-880,-881,-882,-883,-884,-885,-886,-887,-888,-889,-890,-891,-892,-893,-894,-895,-896,-897,-898,-899,-900,-901,-902,-903,-904,-905,-906,-907,-908,-909,-910,-911,-912,-913,-914,-915,-916,-917,-918,-919,-920,-921,-922,-923,-924,-925,-926,-927,-928,-929,-930,-931,-932,-933,-934,-935,-936,-937,-938,-939,-940,-941,-942,-943,-944,-945,-946,-947,-948,-949,-950,-951,-952,-953,-954,-955,-956,-957,-958,-959,-960,-961,-962,-963,-964,-965,-966,-967,-968,-969,-970,-971,-972,-973,-974,-975,-976,-977,-978,-979,-980,-981,-982,-983,-984,-985,-986,-987,-988,-989,-990,-991,-992,-993,-994,-995,-996,-997,-998,-999]