Classic sweep line problem once you see it that way.
Extract all events into a list of (time, delta) pairs, where entry is +1 and exit is -1. Sort by time, and for ties, process exits before entries. Then sweep through the sorted events, maintaining a running count and tracking the maximum.
Pro tip: Clarify the tie-breaking rule upfront and confirm whether the lot can go negative (invalid logs). Also, mention that you can avoid sorting by using a hash map if timestamps are bounded, but sorting is generally simpler and O(n log n).
Convert each log entry into a tuple (time, delta), where delta = +1 for 'entry' and -1 for 'exit'.
Sort the list by time ascending. For equal timestamps, ensure exits (delta = -1) come before entries (delta = +1) to satisfy the problem's rule.
Initialize current_count = 0 and max_count = 0. Iterate through sorted events, add delta to current_count, and update max_count if current_count exceeds it.
Return max_count. Mention handling of empty input, invalid logs (e.g., exit without entry), and potential optimizations.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
This tripped me up more than it should have.
First, compute the maximum occupancy from the previous part (or assume it's given). Then, sweep through the sorted event times (entry/exit) to track the current occupancy, and whenever it equals the maximum, start an interval; when it drops below, close the interval. Collect all such intervals and return them as [start, end).
Pro tip: Clarify whether the logs are already sorted by time and whether the maximum occupancy is provided; if not, mention that you would compute it first. Also, handle edge cases like multiple events at the same timestamp and empty logs.
Confirm the format of the parking lot logs (e.g., list of (timestamp, car_id, action)) and whether the maximum occupancy is given or must be computed. Clarify that intervals are half-open [start, end).
If not provided, compute the maximum occupancy by sweeping through the logs, tracking the count of parked cars. This can be done by sorting events by time and processing entries before exits at the same timestamp.
Iterate through the sorted events, maintaining the current occupancy. When occupancy becomes equal to the maximum, record the start time; when it drops below, record the end time and add the interval to the result.
Ensure intervals are maximal (merge adjacent intervals if needed) and handle cases where occupancy remains at maximum until the last event. Return the list of intervals.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Model each car with missing exit as an interval that can extend up to 2 hours after entry, and treat known exits as fixed. Use a sweep-line algorithm with events, but for missing exits, consider them as flexible intervals that can be 'stretched' to maximize overlap. Compute the maximum possible overlap by allowing missing-exit cars to exit at the latest possible time (entry+2) to maximize peak occupancy, then identify intervals where this peak is achieved.
Pro tip: Clarify that the policy allows exit at exactly entry+2, and that maximizing peak occupancy may require aligning multiple missing-exit cars to exit at their latest times, potentially creating a plateau. Also, mention that if multiple intervals achieve the same maximum, return all.
Separate cars into those with known exit times (fixed intervals) and those with missing exits (flexible intervals with entry time and max possible exit = entry+2).
For each missing-exit car, set its exit time to entry+2 to maximize its duration and potential overlap with other cars.
Create events: +1 at entry, -1 at exit. Sort events by time, and sweep to compute occupancy over time. For missing-exit cars, use entry+2 as exit.
Track the maximum occupancy value during the sweep and record all time intervals where occupancy equals this maximum. Output as [start, end).
Consider cars with zero duration (entry=exit) if allowed, and ensure intervals are half-open. Verify that the chosen exit times are valid (<= entry+2).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.