Start by clarifying requirements and edge cases, then propose a per-user sliding window using a deque or timestamp-indexed structure to track distinct devices. Explain eviction, late-event handling with a 30-second buffer, and precise alerting semantics at boundaries. Finally, provide pseudocode and discuss trade-offs.
Pro tip: Explicitly define the window as half-open [t-10min, t) and state that alerts fire only when the distinct device count transitions from 3 to 4, avoiding duplicate alerts. This shows attention to boundary conditions and production readiness.
Ask about event ordering, definition of 'distinct devices', alert frequency (once per window or per event), and handling of failed logins. Confirm the sliding window is half-open [t-10min, t) to avoid ambiguity.
Propose a per-user deque of (timestamp, device_id) for successful logins, plus a hash map from device_id to count for O(1) distinct device tracking. Alternatively, use a balanced BST or timestamp-indexed structure for efficient eviction.
Evict events older than t-10min from the front of the deque, updating device counts. For late events (up to 30s), maintain a small buffer and reorder by timestamp before processing, or use a watermark to allow out-of-order processing within the allowed lateness.
Alert when the distinct device count reaches 4 within the window. To avoid duplicates, alert only on the transition from 3 to 4 distinct devices. After an alert, either suppress further alerts until the window clears or reset the count, depending on requirements.
Write clear pseudocode for the streaming processor, including eviction, late-event handling, and alert logic. Discuss time/space complexity, scalability, and potential optimizations like approximate counting for high-cardinality users.
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