leetcode--Validate Binary Search Tree

验证二叉搜索树的有效性
本文介绍了一种通过先序遍历来判断给定二叉树是否为有效二叉搜索树的方法。有效的二叉搜索树需满足左子树节点值小于根节点值,右子树节点值大于根节点值,且左右子树也必须是二叉搜索树。

1.题目描述

Given a binary tree, determine if it is a valid binary search tree (BST).
 
Assume a BST is defined as follows:
 
The left subtree of a node contains only nodes with keys less than the node's key.
The right subtree of a node contains only nodes with keys greater than the node's key.
Both the left and right subtrees must also be binary search trees.

2.解法分析

对树进行先序遍历,如果先序遍历的过程中始终有前一个元素比后一个元素小,那么就是一棵有效的BST,反之则不是

/**
 * Definition for binary tree
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */
class Solution {
public:
    bool isValidBST(TreeNode *root) {
        // Start typing your C/C++ solution below
        // DO NOT write int main() function
        if(!root)return true;
        vector<TreeNode *> v;
        
        int cur;
        int prev;
        bool firstRound=true;
        TreeNode *curT=root;
        
        while(curT||!v.empty())
        {
            while(curT)
            {
                v.push_back(curT);
                curT=curT->left;
            }
            if(!v.empty())
            {
                curT=v.back();v.pop_back();
                if(firstRound){cur=curT->val;prev=cur;firstRound=false;}
                else 
                {
                    cur=curT->val;
                    if(cur<=prev)return false;
                    prev=cur;
                }
 
                curT=curT->right;
            }
        }
        
        return true;
        
    }
};

转载于:https://www.cnblogs.com/obama/p/3261004.html

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