At a logistics company operating in 50+ cities with millions of daily deliveries, small algorithmic improvements can save significant fuel and driver time. Many optimization tasks (route pricing, batching, capacity planning) involve exploring many combinations, where a naive recursive solution can explode exponentially and miss latency SLOs.
dp[i] or dp[i][j] mean?).Aim for an interview-level explanation: clear definitions, a worked example with a recurrence, and trade-offs between memoization vs tabulation. You don’t need to prove correctness formally, but you should be able to justify why your recurrence covers all cases and avoids recomputation.