Start by clarifying requirements (e.g., exact window semantics, memory constraints, concurrency) and then design a simple in-memory solution using a hash map of deques or a circular buffer per key. After implementing the basic version, discuss scaling to 1M increments/sec by sharding, using approximate algorithms like count-min sketch with time buckets, and leveraging distributed systems like Kafka and Redis.
Pro tip: Demonstrate awareness of the trade-off between accuracy and scalability: for 1M ops/sec, exact counting per key is infeasible, so propose probabilistic data structures or time-bucketed aggregation with eventual consistency.
Ask about window semantics (sliding vs. tumbling), expected number of keys, memory limits, and consistency requirements. This shows you think before coding.
Propose a hash map where each key maps to a deque of timestamps or a circular buffer of time buckets. Explain how increment adds a timestamp and getCount prunes old entries.
Write pseudocode for the class, ensuring O(1) amortized increment and O(1) getCount (with pruning). Discuss time and space complexity, and potential optimizations like bucketing.
Discuss partitioning by key across multiple nodes, using a distributed queue (e.g., Kafka) for increments, and approximate counting (e.g., count-min sketch) or pre-aggregation with time buckets to reduce memory and compute.
Talk about consistency vs. availability, latency, memory overhead, and handling hot keys. Mention monitoring and backpressure.
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