I got the first two layers down pretty quickly, the id lookup is just a hashmap and the exact-amount fallback is another map keyed by amount.
Start by clarifying the problem requirements and edge cases, then outline a layered matching algorithm that processes rules in order, using appropriate data structures for efficient lookups. Discuss the impact of processing order on matching outcomes and justify your design choices with trade-offs.
Pro tip: Emphasize the importance of deterministic tie-breaking (e.g., earliest date) and consider using a balanced BST or sorted list for range queries to achieve O(log n) lookups, which is crucial for large datasets.
Ask about input sizes, data formats, tolerance inclusivity, and whether matches should be one-to-one. Confirm if multiple matches are possible and how to handle ties.
Process rules sequentially: first match by invoice ID, then by exact amount (earliest date), then by amount within tolerance (earliest date). Ensure each payment/invoice is matched at most once.
For invoice ID matching, use a hash map. For amount-based matching, use a balanced BST or sorted list to support range queries and earliest date retrieval efficiently.
Explain how the order of processing payments or invoices can affect which items get matched, especially when multiple candidates exist. Discuss strategies to ensure fairness or optimize matches.
Compare time/space complexity of different approaches (e.g., sorting vs. BST) and justify your choices based on expected data size and performance requirements.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.