How do you count subarrays whose sum equals k?
PICTURE THIS: ARRAY IN MEMORY
Index starts at 0. Scan once for max — O(n).
Simple meaning
Keep a prefix-sum frequency map starting with 0:1.
WHY — Hashing instead of guessing?
Why interviewers care about Hashing:
question about Hashing.
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:
- 1Keep a prefix-sum frequency
map starting with 0:1.
- 2For each prefix p,
add the count of p-k, then increment p.
- 3Average O(n) time and
O(n) space.
- 4Sliding window only works
when all numbers are positive, so hashing is the general interview solution.
- 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
Keep a prefix-sum frequency map starting with 0:1. For each prefix p, add the count of p-k, then increment p.