How do you find the starting gas station to complete a circular tour, or determine it is impossible?
PICTURE THIS: DATABASE INDEX
Simple meaning
If total gas is less than total cost, no start works.
WHY — Greedy instead of guessing?
Why interviewers care about Greedy:
question about Greedy.
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:
- 1If total gas is
less than total cost, no start works.
- 2Otherwise the unique start
is the index after the worst prefix tank dip (reset tank when it goes negative).
- 3One O(n) pass and
O(1) space.
- 4Give an example
Trying every start is O(n^2).
- 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
If total gas is less than total cost, no start works. Otherwise the unique start is the index after the worst prefix tank dip (reset tank when it goes negative).