Start by clarifying requirements and edge cases, then propose a data model that supports efficient lookups and updates. For refunds without a reference, use a pluggable comparator to select payments, and implement a greedy offsetting algorithm that returns consumed pairs. Finally, analyze time and space complexity for each operation, discussing trade-offs.
Pro tip: Demonstrate awareness of real-world constraints like concurrency, idempotency, and auditability; mention that in production you'd likely use a database with transactions and indexes, but for this exercise you'll focus on in-memory data structures.
Ask about refund behavior: can refunds exceed payment amount? Are partial refunds allowed? What if no payments match? How to handle duplicate IDs? This shows thoroughness.
Propose using a hash map for payments by ID, and for each user, a list or priority queue of payments sorted by the comparator (e.g., most recent first). Also track refunds and remaining amounts per payment.
addPayment inserts into maps and updates user's payment list. addRefund with reference directly offsets that payment; without reference, iterate through user's payments in comparator order, consuming amounts until refund is satisfied, collecting (paymentId, amount) pairs.
Compute balance as sum of remaining amounts of all payments for the user (or maintain a running balance updated on each operation).
Discuss time complexity: addPayment O(1) or O(log n) if maintaining sorted structure; addRefund O(k) where k is number of payments touched; getUserBalance O(1) if maintained. Space O(n + m). Mention alternative approaches like using a balanced BST or segment tree for better refund performance.
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