Coin Change: fewest coins to make an amount (unbounded knapsack DP).
The DP that reveals why greedy quietly fails on non-standard denominations, and how a single bottom-up table fixes it. What interviewers watch for: the dp[amount] recurrence and the unbounded-reuse insight.
Updated Sep 2026 · Grounded in real GenAI, LLM, and AI/ML engineering interview loops and written to a senior-engineer editorial bar.
The DP that reveals why greedy quietly fails on non-standard denominations, and how a single bottom-up table fixes it. What interviewers watch for: the dp[amount] recurrence and the unbounded-reuse insight.
Lead with where the obvious approach breaks, because that is the judgment they are screening for — most candidates jump straight to the happy path and lose the room.
Then walk the failure back through the pipeline in order, naming the one metric the customer's exec sponsor actually cares about before you propose the fix.
