This one took me a minute to even parse correctly.
Start by clarifying the rules and edge cases, then outline a step-by-step algorithm that groups payments by method, sorts within each group by date descending, and allocates the refund while tracking remaining amounts. Finally, analyze the time complexity and discuss potential optimizations or trade-offs.
Pro tip: Demonstrate maturity by proactively discussing how to handle floating-point precision (e.g., using integers for cents) and by mentioning that the algorithm should be idempotent and safe for concurrent refunds.
Ask questions to confirm the method priority order, date sorting (most recent first), and how to handle partial refunds and shortfalls. Also clarify if payments can be refunded multiple times and if refunds are linked to specific payments.
Choose appropriate data structures: a map from payment ID to remaining refundable amount, and a map from method to a list of payments (or a priority queue) sorted by date descending. This allows efficient lookup and allocation.
Iterate through methods in priority order. For each method, iterate through payments from most recent to oldest, allocating as much as possible from each until the refund amount is exhausted. Track allocations and any remaining shortfall.
State that the time complexity is O(P log P) due to sorting payments within each method, where P is the number of payments. Space complexity is O(P) for storing remaining amounts and allocations.
Mention potential optimizations like using a heap for each method to avoid full sorting if only a few refunds are needed, or precomputing remaining amounts. Also discuss handling of concurrent refunds and idempotency.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.