I went straight for a hashmap keyed on invoice_id, which felt right.
Start by clarifying the data model and edge cases (e.g., duplicate invoice_ids, missing fields, data types). Then propose a hash map-based solution: build a map from invoice_id to a list of invoices, iterate through payments to match and collect unmatched payments, and finally identify invoices with no payments. Discuss trade-offs of alternative structures and how you'd handle duplicates (e.g., FIFO matching or flagging for manual review).
Pro tip: Mention that in a real payment system like Stripe, you'd also consider idempotency and partial payments; showing awareness of domain-specific concerns beyond the algorithm sets you apart.
Ask about data types, whether invoice_id can be null, how to handle duplicate invoice_ids (e.g., multiple invoices with same ID), and if payments can partially match invoices. Confirm output format.
Propose using a hash map (dictionary) to index invoices by invoice_id, mapping to a list to handle duplicates. This allows O(1) average lookup per payment. Alternatively, consider sorting if memory is constrained.
Iterate through payments: for each, look up invoice_id in the map. If found and invoices remain, pair them (e.g., FIFO) and mark invoice as matched; else add payment to unmatched list. After processing, any invoices not marked matched are unmatched invoices.
For duplicate invoice_ids, decide on a policy: match payments to invoices in order (FIFO), or if multiple invoices share an ID, treat as ambiguous and flag. Also handle missing invoice_id in payment by adding to unmatched.
State time complexity: O(P + I) with hash map, space O(I). Discuss alternatives like sorting (O(P log P + I log I)) and when they might be preferable. Mention potential need for stable matching or business rules.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.