I went greedy first because it's the obvious move, largest denomination down.
Start by clarifying the constraints: coin denominations, inventory limits, and whether the goal is to minimize coins dispensed or preserve certain denominations. Then compare greedy vs DP: greedy is simple and fast but only optimal for canonical systems, while DP guarantees optimality but costs more time/space. Finally, address the impossible-change scenario with a clear fallback policy (e.g., cancel transaction, offer credit, or exact-change-only mode).
Pro tip: Mention that real vending machines often use a hybrid: greedy for common cases and DP as a fallback when greedy fails or when inventory is constrained. Also note that the 'optimal' solution might prioritize keeping a healthy mix of coins for future transactions, not just minimizing coins for the current one.
Ask about coin denominations, whether the machine can dispense coins, inventory limits, and business rules (e.g., must return exact change or can it give credit).
Explain that greedy works if the coin system is canonical (e.g., US coins) and is O(n) time; DP is O(n*amount) and guarantees optimality for any system but may be overkill for typical vending machine amounts.
Note that even with a canonical system, limited coin inventory can break greedy; DP can incorporate inventory counts but becomes more complex (e.g., bounded knapsack).
Define fallback behavior: reject the purchase before dispensing, offer to keep the remainder as credit, or switch to exact-change-only mode until restocked.
Suggest encapsulating the change-making strategy behind an interface so it can be swapped, and emphasize unit tests for edge cases like exact change, insufficient coins, and non-canonical denominations.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
This felt like a product judgment question sneaking into a coding interview.
Start by clarifying the requirements and constraints, then compare the two options (reject vs. refund) based on user experience, technical complexity, and business impact. Recommend a solution that balances these factors, such as refunding inserted bills with clear communication, and outline how to implement it robustly.
Pro tip: Emphasize that the best solution often involves preventing the issue altogether by dynamically managing change inventory and integrating with payment systems for cashless alternatives. This shows forward-thinking and system-level design maturity.
Ask questions to understand the vending machine's capabilities, typical user scenarios, and business rules. For example, does it accept only bills, or also coins/cards? What is the expected user demographic?
Compare rejecting the purchase outright versus refunding inserted bills. Consider factors like user frustration, potential for lost sales, technical feasibility of refunding, and compliance with financial regulations.
Think about scenarios such as partial refunds, bill jams, or power failures during refund. How would the system recover? Ensure the chosen approach handles these gracefully.
Recommend a primary approach (e.g., refund inserted bills) and explain why it's better for user experience and business. Mention fallback mechanisms like offering cashless payment or exact change only.
Describe how to implement the solution, including hardware/software changes, and how to monitor change inventory to prevent future occurrences. Suggest logging and alerts for low change.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.