How do you schedule jobs for maximum profit when each job has start, end, and profit?
PICTURE THIS: HOW TO EXPLAIN IT
Simple meaning
Sort jobs by end time.
WHY — DP instead of guessing?
Why interviewers care about DP:
question about DP.
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:
- 1Define it
Sort jobs by end time.
- 2dp[i] is the best
using the first i jobs: skip or take job i plus dp of the last compatible job found by binary search on end times.
- 3Time is O(n log
n) and space is O(n).
- 4Give an example
Naive previous-scan 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
Sort jobs by end time. dp[i] is the best using the first i jobs: skip or take job i plus dp of the last compatible job found by binary search on end times.