Moderate Hashing Question 81 of 224

How do you count subarrays whose sum equals k?

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

PICTURE THIS: ARRAY IN MEMORY

01234

Index starts at 0. Scan once for max — O(n).

Simple meaning

Keep a prefix-sum frequency map starting with 0:1.

1

WHY — Hashing instead of guessing?

Why interviewers care about Hashing:

This is a process

question about Hashing.

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
    Keep a prefix-sum frequency

    map starting with 0:1.

  2. 2
    For each prefix p,

    add the count of p-k, then increment p.

  3. 3
    Average O(n) time and

    O(n) space.

  4. 4
    Sliding window only works

    when all numbers are positive, so hashing is the general interview solution.

  5. 5
    Common mistake

    What juniors usually get wrong.

  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
“Average O(n) time and O(n) space.”
Break into beats
AverageOntimeandO
Speaking order
2987408337471632900

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.

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