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Suppose meetings can be scheduled with real-number start and end times (e.g., 9.5 to 10.75). How does this affect the approach to find the minimum number of meeting rooms?

hard🎤 Interviewer Follow-up Q10 of Q15
Intervals - Meeting Rooms II (Minimum Conference Rooms)
Suppose meetings can be scheduled with real-number start and end times (e.g., 9.5 to 10.75). How does this affect the approach to find the minimum number of meeting rooms?
AThe min-heap approach fails because it requires integer times
BSweep Line approach must be adapted to handle floating-point precision carefully
CTwo Pointers approach cannot be used because sorting floats is unstable
DSorting and heap operations remain the same; no change needed
Step-by-Step Solution
Solution:

  1. Step 1: Consider floating-point times

    Real numbers introduce precision issues that can affect equality and comparison operations.

  2. Step 2: Adapt Sweep Line approach

    Must handle floating-point comparisons carefully, possibly with epsilon tolerance or stable sorting.

  3. Step 3: Evaluate other approaches

    Min-heap and Two Pointers still conceptually valid but require careful comparison logic.

  4. Final Answer:

    Option B -> Option B

  5. Quick Check:

    Floating-point times require precision-aware event processing [OK]
Quick Trick: Floating points need careful comparison in sweep line [OK]
Common Mistakes:
MISTAKES
  • Assuming integer-only intervals
  • Ignoring floating-point precision issues
Trap Explanation:
PITFALL
  • Candidates overlook floating-point comparison subtleties in interval problems.
Interviewer Note:
CONTEXT
  • Tests readiness for real-world data and precision handling.
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