// 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:
// 2
// / \
// 1 3
// Binary tree [2,1,3], return true.
// Example 2:
// 1
// / \
// 2 3
// Binary tree [1,2,3], return false.
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
public class ValidateBinarySearchTree {
public boolean isValidBST(TreeNode root) {
if(root == null) {
return true;
}
return validBSTRecursive(root, Long.MIN_VALUE, Long.MAX_VALUE);
}
public boolean validBSTRecursive(TreeNode root, long minValue, long maxValue) {
if(root == null) {
return true;
} else if(root.val >= maxValue || root.val <= minValue) {
return false;
} else {
return validBSTRecursive(root.left, minValue, root.val) && validBSTRecursive(root.right, root.val, maxValue);
}
}
}
// 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:
// 2
// / \
// 1 3
// Binary tree [2,1,3], return true.
// Example 2:
// 1
// / \
// 2 3
// Binary tree [1,2,3], return false.
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
public class ValidateBinarySearchTree {
public boolean isValidBST(TreeNode root) {
if(root == null) {
return true;
}
return validBSTRecursive(root, Long.MIN_VALUE, Long.MAX_VALUE);
}
public boolean validBSTRecursive(TreeNode root, long minValue, long maxValue) {
if(root == null) {
return true;
} else if(root.val >= maxValue || root.val <= minValue) {
return false;
} else {
return validBSTRecursive(root.left, minValue, root.val) && validBSTRecursive(root.right, root.val, maxValue);
}
}
}
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