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Validate Binary Search Tree

Asked atamazongooglemicrosoftbloombergapple

01 · Problem

Given the root of a binary tree, determine if it is a valid binary search tree (BST).

A valid 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.

02 · Examples

Example 01
  2
 / \
1   3
Input
root = [2,1,3]
Output
true

Node 1 < root 2 (valid left child). Node 3 > root 2 (valid right child). Both subtrees are valid BSTs.

Example 02
    5
   / \
  1   4
     / \
    3   6
Input
root = [5,1,4,null,null,3,6]
Output
false

The right child of the root has value 4, which is less than the root value 5. This violates the BST property.

03 · Constraints

  • 01The number of nodes in the tree is in the range [1, 104].
  • 02-231 <= Node.val <= 231 - 1

04 · Optimal complexity

Time
O(n)
Space
O(h)
05 · Two ways to work on it

Practice it alone or rehearse it as an interview.

Practice Mode gives you an editor and test runs, nothing else. AI Interview Mode puts a voice interviewer on the other side, adds a clock, and ends with a scored summary of the round.