How do you solve Two Sum in linear time?
PICTURE THIS: DATABASE INDEX
Simple meaning
While scanning, store each value and its index in a hash map and look up target minus the current number before inserting.
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:
- 1While scanning, store each
value and its index in a hash map and look up target minus the current number before inserting.
- 2Average time is O(n)
with O(n) space.
- 3Sorting plus two pointers
is O(n log n) and loses original indices unless you keep them, so hashing is the usual interview answer.
- 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
While scanning, store each value and its index in a hash map and look up target minus the current number before inserting. Average time is O(n) with O(n) space.