Took me a while to even understand what 'credit' meant here because the problem statement is pretty dense.
Model the problem as an optimization over the sequence of skips, recognizing that credits are earned only when a warehouse is reduced to zero or below by your dispatch. Use dynamic programming with state representing remaining skips and current inventory levels, or derive a greedy strategy based on prioritizing warehouses that can be zeroed with minimal skips. Implement and test with brute force for small n to validate.
Pro tip: Clarify the rules with the interviewer before diving in—especially whether the co-worker's dispatch can also reduce inventory and whether skips can be used at any time. This shows attention to detail and avoids solving the wrong problem.
Restate the problem in your own words, ask clarifying questions about the dispatch amounts, skip mechanics, and credit conditions. Identify the input size to determine the required algorithmic efficiency.
Formalize the goal: maximize credits by choosing when the co-worker skips. Define a state that captures remaining skips, current inventory levels, and whose turn it is.
Consider dynamic programming, greedy, or search strategies. For DP, define transitions for your dispatch, co-worker's dispatch, and skip. For greedy, identify a priority rule (e.g., warehouses closest to zero).
Write clean code for the chosen approach. Test with small cases using brute force to ensure correctness, and analyze time/space complexity.
Explain why the chosen approach is optimal or near-optimal. Mention potential improvements, edge cases, and how the solution scales with n and skip limit.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.