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Validate Binary Search Tree

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? 


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}".

答案

/**
 * Definition for binary tree
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
public class Solution {
    public boolean isValidBST(TreeNode root,int min,int max)
    {
        if(root==null)
        {
            return true;
        }
        if(root.val<=min||root.val>=max)
        {
            return false;
        }
        return isValidBST(root.left,min,Math.min(root.val,max))&&isValidBST(root.right,Math.max(min,root.val),max);
    }
    public boolean isValidBST(TreeNode root) {
        if(root==null)
        {
            return true;
        }
        return isValidBST(root.left,Integer.MIN_VALUE,root.val)&&isValidBST(root.right,root.val,Integer.MAX_VALUE);
    }
}


TreeDepth-first Search

Validate Binary Search Tree