[leetcode]98. Validate Binary Search Tree验证BST

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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.
Input:
    2
   /   1   3
Output: true

 

题意:

验证BST

 

思路:

dfs

根据BST的性质: 左子树<根<右子树

要特别留心,对于input的root,没有办法给定一个确定的范围。所以初始化为null

 

代码:

 1 class Solution {
 2     public boolean isValidBST(TreeNode root) {
 3         return helper(root, null, null);
 4     }
 5     
 6     boolean helper(TreeNode root, Integer min, Integer max) {
 7         if (root == null)
 8             return true;
 9         
10         if ((min != null && root.val <= min) || (max != null && root.val >= max))
11             return false;
12         
13         return helper(root.left, min, root.val) && helper(root.right, root.val, max);
14     }
15 }

 

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