High Sliding Window Question 151 of 224

How do you find the maximum in every sliding window of size k?

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

PICTURE THIS: DATABASE INDEX

Without indexScan every row
With indexJump to keys
CostWrites slower

Simple meaning

Maintain a deque of indices with values in decreasing order

1

WHY — Sliding Window instead of guessing?

Why interviewers care about Sliding Window:

This is a process

question about Sliding Window.

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
    Maintain a deque of

    indices with values in decreasing order

  2. 2
    the front is the

    window max.

  3. 3
    Pop back while the

    new value is larger, pop front when it leaves the window.

  4. 4
    Each index enters and

    leaves once: O(n) time and O(k) space.

  5. 5
    A heap of (value,

    index) is O(n log n) with lazy deletes.

  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
“Each index enters and leaves once: O(n) time and O(k) space.”
Break into beats
Eachindexentersandleavesonce
Speaking order
2987408337471632900

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

Key takeaway

Maintain a deque of indices with values in decreasing order the front is the window max.

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