← Goldman Sachs Interview Insights
I went with a per-user deque of (timestamp, amount) pairs.
Start by clarifying the requirements: per-user sliding window, need to track approved transactions with timestamps, and compute sum of amounts in last 60 minutes. Propose a data structure like a deque (or balanced BST) per user to maintain the window, and analyze time complexity for each check, considering both average and worst-case scenarios.
Pro tip: Mention that in a real trading system, you'd also consider concurrency and persistence, and that the deque approach gives O(1) amortized time per check, which is crucial for high-throughput fraud detection.
Confirm that the window is sliding (not fixed), that only approved transactions count, and that the check is per user. Ask about expected transaction volume and whether the system is distributed.
Propose a per-user deque (double-ended queue) storing (timestamp, amount) pairs in chronological order. Alternatively, mention a balanced BST or a Fenwick tree if updates are frequent, but deque is simpler and efficient for sliding window.
On each new transaction, remove from the front of the deque all entries older than 60 minutes, maintain a running sum of amounts in the window, then check if running sum + new amount > 5000. If approved, add the new transaction to the back and update the sum.
Each transaction is added once and removed once, so amortized O(1) per check. Worst-case for a single check could be O(n) if many expired entries are removed, but amortized over all checks it's O(1). Space complexity is O(n) per user for the window.
Mention alternatives like using a circular buffer or a balanced BST for O(log n) worst-case, and discuss how to handle multiple users (e.g., hash map from user ID to deque) and distributed scenarios (e.g., sharding by user).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.