High Trees Question 163 of 224

How do you reconstruct a binary tree from preorder and inorder traversals?

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

PICTURE THIS: HASH MAP

Key"user_id"
Hashslot 17
Valuethe record

Simple meaning

The first preorder value is the root

1

WHY — Trees instead of guessing?

Why interviewers care about Trees:

This is a process

question about Trees.

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
    The first preorder value

    is the root

  2. 2
    find it in inorder

    to split left and right sizes, then recurse.

  3. 3
    A hashmap of inorder

    indices makes each split O(1), so total time is O(n) and space is O(n).

  4. 4
    Without the map, scanning

    inorder each time is O(n^2).

  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
“A hashmap of inorder indices makes each split O(1), so total time is O(n) and sp”
Break into beats
Ahashmapofinorderindicesmakes
Speaking order
2987408337471632900

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

Key takeaway

The first preorder value is the root find it in inorder to split left and right sizes, then recurse.

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