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.
Solution:
/**
* 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) {
return isValidBST(root, Integer.MIN_VALUE, Integer.MAX_VALUE);
}
public boolean isValidBST(TreeNode root, int min, int max)
{
if(root == null)
return true;
if(root.val<min || root.val>max)
return false;
boolean solution = isValidBST(root.left, min, root.val-1);
solution = solution && isValidBST(root.right, root.val+1, max);
return solution;
}
}
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