The out-of-order timestamp part is what got me initially.
Start by clarifying requirements: events can arrive out of order, so you need to store events and process them in timestamp order for queries. Design a class that maintains a sorted list of events (or a balanced BST) and computes balance on demand by replaying events up to the query timestamp, ensuring charges only succeed if sufficient balance exists at that point. Discuss trade-offs between eager and lazy processing, and consider using a Fenwick tree or segment tree for efficient range queries if needed.
Pro tip: Mention that you would use a self-balancing BST (like a TreeMap) to store events keyed by timestamp, and for each query, iterate through events in order, maintaining a running balance. This shows you understand the need for ordered processing and can handle out-of-order arrivals without sorting the entire dataset each time.
Ask about expected event volume, query frequency, and whether timestamps are unique. Confirm that charges must be validated against the balance at their timestamp, and that events can arrive in any order.
Propose storing events in a balanced BST (e.g., TreeMap) keyed by timestamp to maintain chronological order. For efficient balance queries, consider augmenting with a Fenwick tree or segment tree to compute cumulative sums, or use a sorted list with binary search.
Define methods: addCredit(timestamp, amount), charge(timestamp, amount) returning success/failure, and getBalance(timestamp). Explain that charge must simulate processing all events up to that timestamp in order to determine if the charge succeeds.
Describe how to process events in timestamp order for each query or charge. For charge, replay events up to the charge timestamp, maintaining a running balance, and only apply the charge if balance >= amount. If not, the charge fails and is not recorded.
Discuss time complexity: O(log n) for insertion, O(k) for query where k is number of events up to timestamp, or O(log n) with augmented trees. Mention potential optimizations like caching balances at checkpoints or using a segment tree with lazy propagation.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.