This one took me a minute to even figure out where to start.
Start by clarifying requirements and assumptions, then propose a modular pipeline: validation, deduplication, late-arrival handling, and sliding-window aggregation. For each component, choose data structures that meet the O(n log n) bound, such as a hash set for duplicates, a min-heap for late events, and a deque with running sum for the rolling average.
Pro tip: Emphasize that the sliding window average can be maintained in O(1) amortized time per event using a deque and a running sum, which keeps the overall complexity dominated by the O(log n) deduplication/late-arrival checks. Also mention that checksum validation is O(payload size) but can be parallelized or done asynchronously to avoid blocking the main pipeline.
Ask about event ordering guarantees, allowed lateness threshold, duplicate definition (by id or checksum), and whether the 60-second window is event-time or processing-time. Confirm that O(n log n) is acceptable and that memory is not unbounded.
Outline stages: checksum validation, duplicate detection, late-arrival filtering, and rolling average computation. Explain how events flow through these stages and how backpressure or buffering is handled.
For duplicates, use a hash set of event ids with TTL or a Bloom filter for memory efficiency. For late arrivals, use a min-heap keyed by timestamp to evict events older than the allowed lateness. For the rolling average, use a deque of (timestamp, payload length) and maintain a running sum.
Show that each event incurs O(1) amortized for deque operations, O(1) average for hash set lookups, and O(log n) for heap operations, yielding O(n log n) overall. Discuss space complexity and trade-offs (e.g., exact vs approximate duplicate detection).
Address handling of out-of-order events, window boundary conditions, and potential optimizations like parallel checksum validation. Mention how the design scales with multiple partitions or distributed processing.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.