**一. 题目描述**
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. 题目分析**
这道题和Construct Binary Tree from Preorder and Inorder Traversal类似,都是考察基本概念的,后序遍历是先遍历左子树,然后遍历右子树,最后遍历根节点。
做法都是先根据后序遍历的概念,找到后序遍历最后的一个值,即为根节点的值,然后根据根节点将中序遍历的结果分成左子树和右子树,然后就可以递归的实现了。
上述做法的时间复杂度为`O(n^2)`,空间复杂度为`O(1)`。
**三. 示例代码**
~~~
#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
struct TreeNode
{
int val;
TreeNode *left;
TreeNode *right;
TreeNode(int x) : val(x), left(NULL), right(NULL) {}
};
class Solution
{
private:
TreeNode* buildTree(vector<int>::iterator PostBegin, vector<int>::iterator PostEnd,
vector<int>::iterator InBegin, vector<int>::iterator InEnd)
{
if (InBegin == InEnd)
{
return NULL;
}
if (PostBegin == PostEnd)
{
return NULL;
}
int HeadValue = *(--PostEnd);
TreeNode *HeadNode = new TreeNode(HeadValue);
vector<int>::iterator LeftEnd = find(InBegin, InEnd, HeadValue);
if (LeftEnd != InEnd)
{
HeadNode->left = buildTree(PostBegin, PostBegin + (LeftEnd - InBegin),
InBegin, LeftEnd);
}
HeadNode->right = buildTree(PostBegin + (LeftEnd - InBegin), PostEnd,
LeftEnd + 1, InEnd);
return HeadNode;
}
public:
TreeNode* buildTree(vector<int>& inorder, vector<int>& postorder)
{
if (inorder.empty())
{
return NULL;
}
return buildTree(postorder.begin(), postorder.end(), inorder.begin(),
inorder.end());
}
};
~~~
**四. 小结**
与前面一题一样,该题考察了基础概念,并不涉及过多的算法问题。
- 前言
- 2Sum
- 3Sum
- 4Sum
- 3Sum Closest
- Remove Duplicates from Sorted Array
- Remove Duplicates from Sorted Array II
- Search in Rotated Sorted Array
- Remove Element
- Merge Sorted Array
- Add Binary
- Valid Palindrome
- Permutation Sequence
- Single Number
- Single Number II
- Gray Code(2016腾讯软件开发笔试题)
- Valid Sudoku
- Rotate Image
- Power of two
- Plus One
- Gas Station
- Set Matrix Zeroes
- Count and Say
- Climbing Stairs(斐波那契数列问题)
- Remove Nth Node From End of List
- Linked List Cycle
- Linked List Cycle 2
- Integer to Roman
- Roman to Integer
- Valid Parentheses
- Reorder List
- Path Sum
- Simplify Path
- Trapping Rain Water
- Path Sum II
- Factorial Trailing Zeroes
- Sudoku Solver
- Isomorphic Strings
- String to Integer (atoi)
- Largest Rectangle in Histogram
- Binary Tree Preorder Traversal
- Evaluate Reverse Polish Notation(逆波兰式的计算)
- Maximum Depth of Binary Tree
- Minimum Depth of Binary Tree
- Longest Common Prefix
- Recover Binary Search Tree
- Binary Tree Level Order Traversal
- Binary Tree Level Order Traversal II
- Binary Tree Zigzag Level Order Traversal
- Sum Root to Leaf Numbers
- Anagrams
- Unique Paths
- Unique Paths II
- Triangle
- Maximum Subarray(最大子串和问题)
- House Robber
- House Robber II
- Happy Number
- Interlaving String
- Minimum Path Sum
- Edit Distance
- Best Time to Buy and Sell Stock
- Best Time to Buy and Sell Stock II
- Best Time to Buy and Sell Stock III
- Best Time to Buy and Sell Stock IV
- Decode Ways
- N-Queens
- N-Queens II
- Restore IP Addresses
- Combination Sum
- Combination Sum II
- Combination Sum III
- Construct Binary Tree from Inorder and Postorder Traversal
- Construct Binary Tree from Preorder and Inorder Traversal
- Longest Consecutive Sequence
- Word Search
- Word Search II
- Word Ladder
- Spiral Matrix
- Jump Game
- Jump Game II
- Longest Substring Without Repeating Characters
- First Missing Positive
- Sort Colors
- Search for a Range
- First Bad Version
- Search Insert Position
- Wildcard Matching