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Closest Value in BST

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Welcome to your interview.

The question is on your right: Closest Value in BST. Take a moment with it first.

Talk your thinking through with me if you like - when you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes). Discussion and graded submissions share your five interviewer interactions, so spend them well.

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Problem

Given a binary search tree (BST), write an efficient algorithm to find the closest node value to a target number.