My first instinct was to sort by start time and use a min-heap to track when rooms free up.
Clarify the problem constraints and edge cases, then propose an efficient algorithm such as sorting start and end times separately and using a two-pointer sweep to count concurrent meetings. Alternatively, use a min-heap to track end times of ongoing meetings. Analyze time and space complexity, and discuss potential optimizations or alternative approaches.
Pro tip: Mention that the problem is equivalent to finding the maximum number of overlapping intervals, which can be solved in O(n log n) time. Also, explicitly state that you assume the input is valid and meetings are half-open intervals, showing attention to detail.
Restate the problem in your own words, confirm the half-open interval semantics, and ask clarifying questions about input size, constraints, and expected output.
Briefly mention a naive O(n^2) approach that checks all pairs for conflicts, and explain why it's inefficient for large inputs.
Describe the two-pointer sweep after sorting start and end times, or the min-heap approach, and explain how it computes the minimum rooms needed.
State the time and space complexity (O(n log n) time, O(n) space) and discuss edge cases like empty input, back-to-back meetings, and simultaneous start/end.
Walk through a small example to validate the algorithm, and if time permits, mention potential optimizations or variations.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.