Skip to content

Latest commit

 

History

History
executable file
·
98 lines (50 loc) · 4.06 KB

106. Construct Binary Tree from Inorder and Postorder Traversall.md

File metadata and controls

executable file
·
98 lines (50 loc) · 4.06 KB

#

一天一道LeetCode

本系列文章已全部上传至我的github,地址:ZeeCoder‘s Github

欢迎大家关注我的新浪微博,我的新浪微博

欢迎转载,转载请注明出处

##(一)题目

来源:https://leetcode.com/problems/construct-binary-tree-from-inorder-and-postorder-traversal/

Given inorder and postorder traversal of a tree, construct the binary tree.

Note: You may assume that duplicates do not exist in the tree

##(二)解题

本题大意:给定一个二叉树的中序和后序遍历,构造出该二叉树

思路可以参考: 【一天一道LeetCode】#105. Construct Binary Tree from Preorder and Inorder Traversal

与上题一样,只不过,后序遍历的最后一个节点为根节点,然后在中序遍历中找到根节点,从而找出根节点的左右子树。

中序遍历为:左子树+根节点+右子树

后序遍历为:左子树+右子树+根节点

例如:中序遍历213,后序遍历231,根节点为1,在中序遍历中确定2为左子树,3为右子树。

具体思路见代码:

/**

 * 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) {

        if(inorder.empty()||postorder.empty()) return NULL;//为空则返回NULL

        return constructTree(inorder,postorder,0,inorder.size()-1,0,postorder.size()-1);

    }

    TreeNode* constructTree(vector<int>& inorder, vector<int>& postorder, int inStart,int inEnd,int postStart,int postEnd)

    {

        if(postStart>postEnd||inStart>inEnd) return NULL;

        TreeNode* root = new TreeNode(postorder[postEnd]);//根节点为后序遍历的

        if(postStart==postEnd||inStart==inEnd) return root;

        int i ;

        for(i = inStart ;i<inEnd;i++)//在中序遍历中找到根节点

        {

            if(inorder[i]==postorder[postEnd]) break;

        }

        root->left = constructTree(inorder,postorder,inStart,i-1,postStart,postStart+i-inStart-1);//构造左子树

        root->right = constructTree(inorder,postorder,i+1,inEnd,postStart+i-inStart,postEnd-1);//构造右子树

        return root;

    }

};