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My first instinct was to reach for a counter dict and i got partway through before realizing rejected requests not counting completely breaks a naive counter approach.
Clarify the problem constraints and edge cases, then propose a solution using a per-URL deque of timestamps for successful requests, with two sliding windows (5s and 30s). Explain how to enforce both limits in O(1) amortized time by pruning expired timestamps and checking the deque lengths, and discuss space complexity and potential optimizations.
Pro tip: Emphasize that rejected requests are not recorded, which simplifies the state and ensures fairness; also mention that the 30-second window inherently bounds the deque size, making space O(U) where U is distinct URLs in the last 30 seconds.
Ask clarifying questions about input format, timing precision, and whether the function is called in real-time or with timestamps. Confirm that rejected requests do not count and that limits are per URL.
Propose a hash map from URL to a deque (or two deques) storing timestamps of successful requests. Explain that deques allow O(1) append and popleft for pruning expired entries.
For each request at time t, prune timestamps older than t-5 and t-30 from the respective deques. Check if the number of timestamps in the last 5 seconds is <2 and in the last 30 seconds is <5; if both, accept and record t; else reject.
Show that each request is processed in amortized O(1) time because each timestamp is added and removed at most once. Discuss space O(U) where U is distinct URLs with successful requests in the last 30 seconds. Handle edge cases like multiple requests at the same timestamp.
Mention alternative approaches like token buckets or fixed windows, and explain why sliding windows are more accurate. Suggest possible optimizations like using a single deque with two pointers or a circular buffer if needed.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.