This one sprawled in every direction and I kept second-guessing myself on where to start.
Start by clarifying requirements and assumptions, then propose a data structure that efficiently supports updates and top-K queries, such as a hash map for product scores combined with a heap or balanced tree for ordering. Discuss trade-offs for sliding window support, tie-breaking, and concurrency, and analyze time and space complexity for each operation.
Pro tip: Demonstrate awareness of real-world constraints by mentioning how you would handle out-of-order events and late data, and how you would ensure consistency during replay or backfill without blocking queries.
Ask about expected event volume, query frequency, K size, window size, and whether events can be out-of-order or late. Confirm tie-breaking rules and thread-safety needs.
Propose a hash map to store product scores and a max-heap or balanced BST to maintain top-K ordering. Explain how updates modify scores and maintain the heap/tree.
For sliding window, suggest a time-bucketed approach or a deque of events with incremental score updates. For replay/backfill, discuss idempotent updates and handling out-of-order events.
State time complexity for update (O(log N) or O(1) with lazy updates) and query_top_k (O(K log N) or O(K)). Discuss memory usage and alternatives like approximate algorithms for large scale.
Mention synchronization mechanisms (locks, concurrent data structures) or partitioning strategies to handle concurrent updates and queries without contention.
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