Spent the first few minutes just re-reading the problem because the entry/exit duality in the same records array tripped me up.
Clarify the event semantics (entry/exit, capacity, payment on first successful entry) and edge cases, then propose an efficient solution using a hash set to track customers who have paid and a counter for current occupancy. Walk through a small example to validate the logic, and discuss time/space complexity.
Pro tip: Explicitly handle the case where a customer who was previously turned away tries to enter again—they should be treated as a new customer and can pay if space is available. Also, confirm whether exits can occur for customers who never entered (invalid events) and how to handle them.
Ask about event format (e.g., positive ID for entry, negative for exit), capacity constraints, and whether a customer can exit without having entered. Confirm that payment occurs only on first successful entry and that turned-away customers do not retry automatically.
Use a hash set to track customers who have already paid (to avoid double charging) and an integer counter for current occupancy. Optionally, a hash set for customers currently inside to validate exits.
Iterate through events: for an entry, if occupancy < capacity and customer hasn't paid, add fee to revenue, mark as paid, and increment occupancy; if full, ignore. For an exit, decrement occupancy if the customer is inside.
Consider scenarios like multiple entries by the same customer, exits without entry, capacity zero, and empty event list. Walk through a small example to ensure correctness.
State time complexity O(n) and space O(n) for n events. Mention that the solution is optimal for a single pass, and discuss potential variations like streaming events or concurrency if relevant.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.