Sunday, February 24, 2019

LeetCode 98. 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.
Example 1:
Input:
    2
   / \
  1   3
Output: true
Example 2:
    5
   / \
  1   4
     / \
    3   6
Output: false
Explanation: The input is: [5,1,4,null,null,3,6]. The root node's value
             is 5 but its right child's value is 4.
















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

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