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Which of the following problems CANNOT be solved using the Minimum Platforms (Train Stations) greedy pattern of counting overlapping intervals?

easy🔍 Pattern Recognition Q2 of Q15
Greedy Algorithms - Minimum Platforms (Train Stations)
Which of the following problems CANNOT be solved using the Minimum Platforms (Train Stations) greedy pattern of counting overlapping intervals?
AFinding the minimum number of meeting rooms required given start and end times of meetings
BSelecting the maximum number of non-overlapping intervals from a set of intervals
CDetermining the minimum number of platforms needed for trains arriving and departing at different times
DCalculating the maximum number of trains that can be scheduled without overlapping at a station
Step-by-Step Solution
Solution:
  1. Step 1: Understand the difference between maximum overlap and maximum non-overlapping intervals

    Minimum Platforms pattern counts maximum simultaneous intervals (overlaps), while maximum non-overlapping intervals is a scheduling optimization problem.
  2. Step 2: Identify that maximum non-overlapping intervals requires interval scheduling greedy, not overlap counting

    This problem is solved by sorting by finish time and selecting intervals greedily, not by counting overlaps.
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Maximum non-overlapping intervals ≠ minimum platforms problem [OK]
Quick Trick: Max non-overlapping intervals ≠ overlap counting [OK]
Common Mistakes:
MISTAKES
  • Confusing maximum overlap with maximum non-overlapping
  • Applying platform counting to scheduling selection
  • Misidentifying problem pattern
Trap Explanation:
PITFALL
  • Candidates often assume all interval problems reduce to counting overlaps, missing the scheduling selection distinction.
Interviewer Note:
CONTEXT
  • Tests anti-pattern recognition and problem classification skills.
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