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Validate Binary Search Tree

时间:2014-08-18 13:02:02      阅读:209      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.                                            

分析:采用递归的方法,先判断左子树和右子树是不是BST,如果不是返回false,如果左子树和右子树均为BST,那么再比较左子树最大值、根的值、右子树最小值的关系,如果左子树最大值<根值<右子树最小值,则返回true.代码如下:

 1 class Solution {
 2 public:
 3     bool isValidBST(TreeNode *root) {
 4         if(!root) return true;
 5         if(isValidBST(root->left)){
 6             int sub_max = tree_max(root->left);
 7             if(sub_max >= root->val) return false;
 8         }else return false;
 9         if(isValidBST(root->right)){
10             int sub_min = tree_min(root->right);
11             if(sub_min <= root->val) return false;
12         }else return false;
13         return true;
14     }
15     int tree_max(TreeNode * root){
16         if(!root) return INT_MIN;
17         int tmax = root->val;
18         TreeNode * p = root->right;
19         while(p){
20             tmax = p->val;
21             p = p->right;
22         }
23         return tmax;
24     }
25     int tree_min(TreeNode * root){
26         if(!root) return INT_MAX;
27         int tmin = root->val;
28         TreeNode * p = root->left;
29         while(p){
30             tmin = p->val;
31             p = p->left;
32         }
33         return tmin;
34     }
35 };

 

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Validate Binary Search Tree

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原文地址:http://www.cnblogs.com/Kai-Xing/p/3919224.html

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