How do you compute the nearest 0 for every cell in a binary matrix?
PICTURE THIS: HOW TO EXPLAIN IT
Simple meaning
Multi-source BFS from all zeros at once, spreading to ones with increasing distance.
WHY — Graphs instead of guessing?
Why interviewers care about Graphs:
question about Graphs.
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:
- 1Multi-source BFS from all
zeros at once, spreading to ones with increasing distance.
- 2Time is O(m*n) and
space is O(m*n).
- 3Independent BFS from each
one would be O((m*n)^2) and is the naive answer to beat.
- 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
Multi-source BFS from all zeros at once, spreading to ones with increasing distance. Time is O(m*n) and space is O(m*n).