Description
Given inorder and postorder traversal of a tree, construct the binary tree.
Note:
You may assume that duplicates do not exist in the tree.
The original problem is here.
The original code is here.
My Solution
I solve this problem in C++, as below:
/*
*Construct Binary Tree from Inorder and Postorder Traversal
*Author: shuaijiang
*Email: zhaoshuaijiang8@gmail.com
*/
#include<iostream>
#include<vector>
#include<stdlib.h>
using namespace std;
//Definition for a binary tree node.
struct TreeNode {
int val;
TreeNode *left;
TreeNode *right;
TreeNode(int x) : val(x), left(NULL), right(NULL) {}
};
class Solution {
public:
TreeNode* buildTree(vector<int>& inorder, vector<int>& postorder) {
int len1 = postorder.size();
int len2 = inorder.size();
if(len1 != len2)
return NULL;
if(len1 <= 0)
return NULL;
TreeNode * root = build(inorder, 0, len1-1, postorder, 0, len1-1);
return root;
}
TreeNode* build(vector<int>& inorder, int ni, int nj, vector<int>& postorder, int pi, int pj){
if(pi > pj)
return NULL;
if(ni > nj)
return NULL;
int val = postorder[pj];
TreeNode *node = new TreeNode(val);
if(pi == pj){
return node;
}
int pos = ni;
for(int i=ni;i<=nj;i++){
if(inorder[i] == val) {
pos = i;
break;
}
}
int leftLen = pos-ni;
int rightLen = nj-pos;
node->left = build(inorder, ni, pos-1, postorder, pi, pi+leftLen-1);
node->right = build(inorder, pos+1, nj, postorder, pj-rightLen, pj-1);
return node;
}
};
Note
根据后序序列,可以找到根节点,或者子树的根节点;在根据中序序列,可以分别找到左子树和右子树。递归地计算左子树和右子树,直至序列中只有一个节点,即叶子节点,就返回。