The rejected-requests-don't-count part is what trips people up, me included for a bit.
Use a sliding window approach with a hash map that tracks accepted request timestamps per IP address, maintaining a deque or list of accepted timestamps to efficiently check and enforce the rate limit within any rolling time window. Since timestamps are sorted, you can process requests sequentially and prune stale timestamps outside the window as you go. Emphasize that only accepted requests count toward the limit, which is a critical constraint that simplifies the counting logic.
Pro tip: Explicitly call out the 'rejected requests don't count' rule early — this is a deliberate design choice that mirrors real-world rate limiting (e.g., Ramp's own API infrastructure), and acknowledging it shows you read requirements carefully and understand the product implications of fairness in rate limiting.
Confirm input assumptions: are timestamps guaranteed sorted globally or per-IP? Ask about edge cases like duplicate timestamps, empty input, or limit=0. This demonstrates thoroughness before writing any code.
Use a hash map from IP address to a deque (or list) of accepted request timestamps. The deque allows O(1) removal from the front when timestamps fall outside the time window, keeping the solution efficient.
For each incoming request, first evict all timestamps from the front of that IP's deque that fall outside the window (i.e., timestamp < current_timestamp - window_length). Then check if the deque's size is less than the limit to decide accept or reject.
If accepted, append the current timestamp to the deque and record 'accepted' in the result array; if rejected, do NOT append the timestamp (since rejected requests don't count), and record 'rejected'. This is the key invariant to maintain.
State that time complexity is O(n) amortized since each timestamp is added and removed from a deque at most once, and space is O(n) in the worst case. Discuss how this approach scales and how it compares to alternatives like token bucket or fixed window counters.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.