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Which of the following problems CANNOT be effectively solved using the Sweep Line / Event Processing pattern as applied in the Car Pooling problem?

easy🔍 Pattern Recognition Q2 of Q15
Intervals - Car Pooling
Which of the following problems CANNOT be effectively solved using the Sweep Line / Event Processing pattern as applied in the Car Pooling problem?
AFinding the maximum number of overlapping intervals
BChecking if a car's capacity is exceeded given passenger pick-up and drop-off intervals
CMerging overlapping intervals into a minimal set of intervals
DScheduling tasks to maximize total profit with start and end times
Step-by-Step Solution
Solution:

  1. Step 1: Analyze problem types

    Options A, B, and C involve interval overlaps or cumulative tracking, suitable for sweep line.

  2. Step 2: Identify anti-pattern

    Scheduling tasks to maximize profit is a weighted interval scheduling problem, typically solved with DP, not sweep line.

  3. Final Answer:

    Option D -> Option D

  4. Quick Check:

    Scheduling with profits -> DP, not sweep line [OK]
Quick Trick: Scheduling with profits needs DP, not sweep line [OK]
Common Mistakes:
MISTAKES
  • Assuming all interval problems fit sweep line
  • Confusing merging with scheduling optimization
Trap Explanation:
PITFALL
  • Candidates often think all interval problems are sweep line, missing DP-based scheduling nuances.
Interviewer Note:
CONTEXT
  • Tests anti-pattern recognition and understanding of problem-solution fit.
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