High Heap Question 170 of 224

How do you merge k sorted arrays into one sorted array?

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

PICTURE THIS: GIT FLOW

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Simple meaning

Min-heap of the current head of each array with (value, array_id, index).

1

WHY — Heap instead of guessing?

Why interviewers care about Heap:

This is a process

question about Heap.

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
    Min-heap of the current

    head of each array with (value, array_id, index).

  2. 2
    Pop and push the

    next element from that array.

  3. 3
    Time is O(N log

    k) for N total elements and space is O(k) plus the output.

  4. 4
    Concatenate-and-sort is O(N log

    N) and ignores the sorted runs.

  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(N log k) for N total elements and space is O(k) plus the output.”
Break into beats
TimeisONlogk
Speaking order
2987408337471632900

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

Key takeaway

Min-heap of the current head of each array with (value, array_id, index). Pop and push the next element from that array.

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