How do you find the maximum in every sliding window of size k?
PICTURE THIS: DATABASE INDEX
Simple meaning
Maintain a deque of indices with values in decreasing order
WHY — Sliding Window instead of guessing?
Why interviewers care about Sliding Window:
question about Sliding Window.
trade-offs, and what you would actually do on a DSA project - not buzzwords.
Name the idea, why it exists, then one short example.
End with when you use it and one common pitfall.
STEPS — What happens step by step?
Before you speak the answer, walk the interviewer through these steps:
- 1Maintain a deque of
indices with values in decreasing order
- 2the front is the
window max.
- 3Pop back while the
new value is larger, pop front when it leaves the window.
- 4Each index enters and
leaves once: O(n) time and O(k) space.
- 5A heap of (value,
index) is O(n log n) with lazy deletes.
- 6Close
When you pick this over the alternative.
EXAMPLE — See it in action
Here's a short line you can speak, broken into clear beats:
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.