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Validate Binary Search Tree

时间:2014-05-02 15:03:57      阅读:386      评论:0      收藏:0      [点我收藏+]

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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.

 

confused what "{1,#,2,3}" means? > read more on how binary tree is serialized on OJ.


OJ‘s Binary Tree Serialization:

The serialization of a binary tree follows a level order traversal, where ‘#‘ signifies a path terminator where no node exists below.

Here‘s an example:

   1
  /  2   3
    /
   4
         5
The above binary tree is serialized as "{1,2,3,#,#,4,#,#,5}".
思路:判断二叉树是否满足二叉搜索树,可以使用中序遍历的方法,将二叉树遍历一遍,然后判断这个中序遍历是否是递增的,如果不是则返回false,如果不是则返回true;
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/**
 * Definition for binary tree
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */
class Solution {
public:
    void InOrder(TreeNode *root,vector<int> &result)
    {
        if(root==NULL)
            return;
        InOrder(root->left,result);
        result.push_back(root->val);
        InOrder(root->right,result);
    }
    bool isValidBST(TreeNode *root) {
        vector<int> result;
        result.clear();
        InOrder(root,result);
        int n=result.size();
        for(int i=1;i<n;i++)
        {
            if(result[i]<=result[i-1])
                return false;
        }
        return true;
    }
};
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第二种思路:递归判断这个二叉树。首先定义左右边界,判断该节点是否处于这个范围之内,然后递归调用左子树,左右边界为min和root->val,递归调用右子树,左右边界为root->val和max,如果这两者都为真,则返回true,否则返回false。

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/**
 * 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 check(TreeNode *root,int min,int max)
    {
        if(root==NULL)
            return true;
        if(root->val>min && root->val<max)
        {
            return check(root->left,min,root->val) && check(root->right,root->val,max);
        }
        else
            return false;
    }
    bool isValidBST(TreeNode *root) {
        int min=INT_MIN;
        int max=INT_MAX;
        return check(root,min,max);
    }
};
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Validate Binary Search Tree

标签:des   style   blog   class   code   java   

原文地址:http://www.cnblogs.com/awy-blog/p/3703750.html

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