How do you find the maximum sum of any contiguous subarray of length k?
PICTURE THIS: ARRAY IN MEMORY
Index starts at 0. Scan once for max — O(n).
Simple meaning
Sum the first k elements, then slide: add the incoming element and subtract the leaving one, tracking the max.
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:
- 1Sum the first k
elements, then slide: add the incoming element and subtract the leaving one, tracking the max.
- 2After the first window
each step is O(1), so total time is O(n) with O(1) extra space.
- 3Recomputing each window from
scratch would be O(nk), which you should call out as too slow.
- 4Give an example
One tiny concrete case you can say aloud.
- 5Common mistake
What juniors usually get wrong.
- 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
Sum the first k elements, then slide: add the incoming element and subtract the leaving one, tracking the max. After the first window each step is O(1), so total time is O(n) with O(1) extra space.