主要就是通过先序找到当前子树根节点,再用中序遍历分子树,不断递归下去。
#include <iostream>
#include <stdio.h>
#include <cstring>
#include <vector>
#include <cmath>
#include <algorithm>
#include <set>
#include <cassert>
#include <time.h>
#include <queue>
#include <map>
#include <stack>
#include <bitset>
#include <string>
#include <sstream>
#define INF 0x3f3f3f3f
using namespace std;
template <class Type>
Type stringToNum(const string& str)
{
istringstream iss(str);
Type num;
iss >> num;
return num;
}
//======================================================
typedef struct node
{
int m_key;
node * m_pLeft,*m_pRight;
}BinaryTreeNode;
//BinaryTreeNode* constructTree(int* preOrder,int preLen,int* sMidOrder, int midLen){
BinaryTreeNode* constructRoot(int* preOrder, int* midOrder, int len){
//先根遍历(前序遍历)的第一个值就是根节点的key
int rootKey=preOrder[0];
BinaryTreeNode* root=new BinaryTreeNode;
root->m_key=rootKey;
root->m_pLeft=root->m_pRight=NULL;
if(len==1 && *preOrder==*midOrder)//只有一个节点
return root;
//在中根遍历(中序遍历)中找到根节点
int* rootMidOrder=midOrder;
int leftLen=0; //左子树节点数
while(*rootMidOrder!=rootKey&&rootMidOrder<=(midOrder+len-1)){
++rootMidOrder;
++leftLen;
}
if(*rootMidOrder!=rootKey)//在中根序列未找到根节点,输入错误
return NULL;
if(leftLen>0){ //构建左子树
root->m_pLeft=constructRoot(preOrder+1,midOrder,leftLen);
}
if(len-leftLen-1>0){ //构建右子树
root->m_pRight=constructRoot(preOrder+leftLen+1,rootMidOrder+1,len-leftLen-1);
}
return root;
}
BinaryTreeNode* construct(int* preOrder,int* midOrder,int len){
if(preOrder==NULL||midOrder==NULL||len<=0)
return NULL;
return constructRoot(preOrder,midOrder,len);
}
//先根遍历
void preOrderRecursionPrint(BinaryTreeNode* root){
if(root==NULL)
return;
cout<<root->m_key<<endl; //visit
preOrderRecursionPrint(root->m_pLeft);
preOrderRecursionPrint(root->m_pRight);
}
int main()
{
//freopen("input.txt","r",stdin);
//先根序列
int preOrder[8]={1,2,4,7,3,5,6,8};
//中根序列
int midOrder[8]={4,7,2,1,5,3,8,6};
BinaryTreeNode * treeRoot = construct(preOrder,midOrder,8);
preOrderRecursionPrint(treeRoot);
return 0;
}
输出如下: