Moderate BST Question 113 of 224

How do you find the LCA of two nodes in a BST?

DSA interview set · Speak this in 60–90 seconds · Faridabad & Delhi NCR

PICTURE THIS: HOW TO EXPLAIN IT

IdeaBST
HowWhat happens inside
Why they askShows real use

Simple meaning

Walk from the root: go left if both keys are smaller, right if both are larger

1

WHY — BST instead of guessing?

Why interviewers care about BST:

This is a process

question about BST.

Panels listen for order,

trade-offs, and what you would actually do on a DSA project - not buzzwords.

Stay structured

Name the idea, why it exists, then one short example.

Close cleanly

End with when you use it and one common pitfall.

2

STEPS — What happens step by step?

Before you speak the answer, walk the interviewer through these steps:

  1. 1
    Walk from the root:

    go left if both keys are smaller, right if both are larger

  2. 2
    otherwise the split node

    is the LCA.

  3. 3
    Time is O(h) and

    extra space is O(1) iterative.

  4. 4
    This uses the ordering

    invariant and is simpler than general-tree LCA.

  5. 5
    Common mistake

    What juniors usually get wrong.

  6. 6
    Close

    When you pick this over the alternative.

3

EXAMPLE — See it in action

Here's a short line you can speak, broken into clear beats:

Say this line
“Time is O(h) and extra space is O(1) iterative.”
Break into beats
TimeisOhandextra
Speaking order
2987408337471632900

Note: Adapt this scaffold to your own project — keep it under 60–90 seconds.

Key takeaway

Walk from the root: go left if both keys are smaller, right if both are larger otherwise the split node is the LCA.

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