Question Definition
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.
Java Solution
public boolean isValidBST(TreeNode root) {
return isValidBST(root, Long.MIN_VALUE, Long.MAX_VALUE);
}
private boolean isValidBST(TreeNode root, long left, long right) {
if(root == null) return true;
if(root.val <= left || root.val >= right) return false;
if(root.left == null && root.right == null){
return true;
}
return isValidBST(root.left, left, root.val) && isValidBST(root.right, root.val, right);
}
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