The overlap-detection part I got through fine, sort by start time and check adjacent pairs.
Start by clarifying the problem and edge cases, then propose sorting intervals by start time to check for overlaps. For the minimum rooms, use a min-heap to track end times of ongoing meetings, incrementing the room count when a new meeting starts before the earliest end time.
Pro tip: Mention that the problem can be solved in O(n log n) time due to sorting, and that the heap approach is optimal. Also, note that the two parts are related: if no overlaps, only one room is needed.
Restate the problem to ensure understanding, ask about input format, edge cases (empty list, single meeting, back-to-back meetings), and whether intervals are inclusive/exclusive.
Sort intervals by start time. Iterate through and check if the current meeting's start time is less than the previous meeting's end time. If any overlap, return false; otherwise true.
Sort intervals by start time. Use a min-heap to store end times of ongoing meetings. For each meeting, if the heap is not empty and the earliest end time is <= current start, pop it (room freed). Then push the current end time. The heap size at the end is the minimum rooms needed.
Explain that sorting takes O(n log n) and heap operations take O(n log n), so overall O(n log n) time and O(n) space.
Walk through a simple example (e.g., [[0,30],[5,10],[15,20]]) to demonstrate the algorithm and verify correctness.
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