Start by clarifying requirements and assumptions, then propose a data structure that supports efficient insertion, charging, and querying under out-of-order events. Discuss trade-offs between different approaches (e.g., segment tree vs. balanced BST) and outline the algorithm for each operation, emphasizing correctness and complexity.
Pro tip: Mention that you would handle out-of-order events by using a data structure that maintains credits sorted by expiration, and that you would consider lazy deletion or time-based indexing to avoid reprocessing. Also, discuss how to handle edge cases like charging more than available balance or overlapping expirations.
Ask clarifying questions about the expected scale, whether timestamps are integers or floats, and if concurrent operations are needed. Confirm that credits expire after activation + duration and that charging consumes from earliest-expiring first.
Propose a data structure that maintains active credits ordered by expiration time, activation time, and id. Consider a balanced BST (e.g., TreeMap) or a segment tree over time for efficient range queries and updates.
For add: insert the credit into the structure, handling out-of-order by placing it correctly. For charge: traverse credits in order, deducting amounts until the charge is satisfied, removing expired or fully consumed credits. For query: sum active balances at the given timestamp, possibly using a prefix sum or range query.
Discuss time and space complexity for each operation. Compare alternatives like using a priority queue with lazy deletion vs. a segment tree, and explain why your choice is optimal for the given constraints.
Consider edge cases: charging when insufficient balance, credits expiring exactly at the query timestamp, and out-of-order inserts that affect past charges. Walk through a small example to validate the design.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.