Moderate Sorting Question 135 of 224

How do you sort a k-sorted array where each element is at most k positions from its sorted place?

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

PICTURE THIS: ARRAY IN MEMORY

01234

Index starts at 0. Scan once for max — O(n).

Simple meaning

Slide a min-heap of size k+1: push the next element and pop the min into the result.

1

WHY — Sorting instead of guessing?

Why interviewers care about Sorting:

This is a process

question about Sorting.

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
    Slide a min-heap of

    size k+1: push the next element and pop the min into the result.

  2. 2
    Time is O(n log

    k) and space is O(k).

  3. 3
    Full sorting is O(n

    log n), which ignores the almost-sorted structure.

  4. 4
    Give an example

    One tiny concrete case you can say aloud.

  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) and space is O(k).”
Break into beats
TimeisOnlogk
Speaking order
2987408337471632900

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

Key takeaway

Slide a min-heap of size k+1: push the next element and pop the min into the result. Time is O(n log k) and space is O(k).

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