I went straight to a circular buffer of size 300, keyed by timestamp mod 300, storing a count per second bucket.
Clarify the API and constraints, then propose a ring buffer of 300 buckets indexed by timestamp modulo 300, where each bucket stores the count of hits for that second. On each hit, update the bucket for the current timestamp, resetting it if it's stale (older than 300 seconds), and maintain a running total; on query, return the total. Explain that this achieves O(1) amortized time and O(300) space by aggregating hits per second and expiring old data via the circular index.
Pro tip: Emphasize that the non-decreasing timestamp guarantee simplifies expiration: you only need to check the bucket you're about to overwrite, not scan all buckets. Also, mention that you'd handle out-of-order timestamps gracefully by ignoring or logging them, since the problem states they won't occur.
Confirm the API signatures, the window size (300 seconds), and that timestamps are non-decreasing integers. Discuss edge cases like multiple hits in the same second and queries at the same timestamp.
Propose a circular buffer (array) of size 300, where each slot stores the count of hits for a specific second. Use the timestamp modulo 300 as the index, and keep a running total of hits in the window.
For recordHit(timestamp): compute index = timestamp % 300; if the bucket's stored timestamp is not equal to timestamp, reset the bucket to 0 and subtract its old count from the total; then increment the bucket and total. For getHits(): return the total.
Explain that both operations are O(1) amortized (each hit does constant work) and space is O(300). Discuss why storing individual hits would be O(n) space and slower, and how the circular buffer aggregates data.
Outline tests for: no hits, single hit, multiple hits in same second, hits spanning the 300-second boundary, and queries at various times. Include a test for the non-decreasing timestamp assumption.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.