I stared at this for a while before realizing the naive approach of just assigning deliveries directly was obviously suboptimal.
Clarify the problem constraints and objective, then propose an efficient algorithm such as dynamic programming or greedy with sorting. Discuss trade-offs between time and space complexity, and validate with examples.
Pro tip: Demonstrate Amazon's leadership principles by emphasizing customer obsession (maximizing remaining items) and ownership (considering edge cases like k > n).
Restate the problem in your own words, ask clarifying questions about constraints (e.g., n, k, item sizes) and confirm the objective.
Brainstorm potential algorithms (e.g., DP, greedy, binary search) and discuss their feasibility and complexity.
Select the most efficient approach, outline steps, and justify why it works for all cases.
Compute time and space complexity, and discuss possible optimizations.
Walk through small examples and edge cases to verify correctness.
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