How do you find the longest run of 1s in a binary array if you may flip at most k zeros?
PICTURE THIS: ARRAY IN MEMORY
Index starts at 0. Scan once for max — O(n).
Simple meaning
This is a window where the number of zeros is at most k
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:
- 1This is a window
where the number of zeros is at most k
- 2expand right and shrink
left when zeros exceed k, tracking max length.
- 3Time is O(n) and
space is O(1).
- 4It is the same
pattern as longest repeating replacement with a two-symbol alphabet.
- 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
This is a window where the number of zeros is at most k expand right and shrink left when zeros exceed k, tracking max length.