The sliding window itself wasn't the hard part.
Clarify the problem constraints and edge cases, then propose a solution using a sliding window with a deque or two pointers to maintain the rolling sum per (merchant_id, status_code) pair. Track the current state (below/above threshold) for each pair to emit TRIGGER and RESOLVE events only on state transitions, ensuring no duplicate consecutive events and chronological output.
Pro tip: Emphasize the importance of handling out-of-order timestamps and the need for a data structure that efficiently supports both adding new entries and removing expired ones, such as a deque per pair. Also, mention that you would confirm whether the window is inclusive of both endpoints and how ties are handled.
Ask about window size definition, threshold crossing semantics (inclusive/exclusive), handling of out-of-order timestamps, and whether multiple events can occur at the same timestamp.
Use a hash map to store per-pair state: a deque of (timestamp, count) for the window, the current rolling sum, and the current state (below/above threshold).
For each log entry, update the rolling sum by adding the new count and removing entries older than t - window_size + 1. Then check if the sum crosses the threshold and emit events accordingly.
If the sum transitions from below to at/above threshold, emit TRIGGER; if from at/above to below, emit RESOLVE. Update the state and ensure no duplicate consecutive events.
Discuss time complexity O(N) with amortized O(1) per log entry, and space O(N) in worst case. Mention potential optimizations like using a balanced BST for out-of-order handling.
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