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Start by clarifying requirements and constraints, then propose a design using a circular buffer (or deque) to store the last N events and a hash map to track per-user word counts, ensuring O(1) ingest and bounded memory. Explain how to maintain the longest sentence and unique user count efficiently, and discuss trade-offs like handling duplicates and eviction.
Pro tip: Mention that you would use a doubly linked list for the buffer to allow O(1) removal of the oldest event, and a hash map for user counts that is updated on both insertion and eviction to keep the unique user count accurate.
Ask about the lookback window size (fixed or dynamic), event rate, and whether 'longest transcribed sentence' means maximum word count in a single event or cumulative per user. Confirm that O(1) time and bounded memory are hard requirements.
Propose a circular buffer (array + head/tail indices) or a doubly linked list to store the last N events. Use a hash map to track per-user word counts for the current window, and maintain variables for the current maximum word count and the user who achieved it.
On each event, add it to the buffer and update the user's count in the hash map. If the buffer exceeds the window size, evict the oldest event: decrement its user's count (removing the user if count reaches zero) and update the max if the evicted event was the current max.
Discuss handling ties for longest sentence (e.g., keep the most recent or any), and how to efficiently update the max when the current max is evicted (e.g., by scanning the buffer, which is O(N) but N is bounded). Mention that unique user count is the size of the hash map.
Confirm O(1) amortized time for ingest (except occasional O(N) scan for max update, which is acceptable if N is small). Memory is O(N) for the buffer plus O(U) for the hash map, where U ≤ N. Discuss alternatives like using a heap for max, but note that eviction complicates it.
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