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I jumped straight to the brute force because I wanted something on the board fast.
Start by clarifying requirements and constraints, then propose a data structure that maintains a running average per agent (e.g., total score and count) and a sorted collection for ranking. Discuss trade-offs between different approaches (e.g., sorting on demand vs. maintaining sorted order) and choose one that balances efficiency for the expected read/write patterns.
Pro tip: Mention that you would use a balanced binary search tree (like a TreeMap) keyed by average score to keep agents sorted, enabling O(log n) updates and O(1) retrieval of the full ranking, but also discuss the trade-off of handling ties and the need for a secondary index.
Ask about expected read/write ratio, number of agents, score distribution, and whether the ranking needs to be real-time or can be eventually consistent.
Propose storing per-agent total score and count for O(1) average calculation, and a sorted data structure (e.g., balanced BST or skip list) keyed by average score for efficient ranking.
For recording a score: update total and count, compute new average, and update the sorted structure (remove old entry, insert new). For ranking: traverse the sorted structure in descending order.
Discuss time and space complexity: O(1) for score update (excluding sorted structure update), O(log n) for sorted structure update, O(n) for retrieval of all agents, and O(n) space.
Compare with alternative approaches (e.g., sorting on demand, using a heap, or a database with indexes) and mention scalability considerations like sharding or caching.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.