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Compare the brute force and sweep line approaches for minimum platforms. When is the brute force approach preferable over sweep line?

hard⚖️ Approach Comparison Q8 of Q15
Intervals - Minimum Number of Platforms Required
Compare the brute force and sweep line approaches for minimum platforms. When is the brute force approach preferable over sweep line?
AWhen input size is very small and code simplicity is preferred
BWhen arrival and departure times are unsorted and cannot be sorted
CWhen trains have negative arrival times
DWhen input size is very large and performance is critical
Step-by-Step Solution
Solution:

  1. Step 1: Analyze brute force

    Brute force is O(n²), simple to implement but inefficient for large n.

  2. Step 2: Analyze sweep line

    Sweep line is O(n log n), more complex but efficient for large inputs.

  3. Step 3: Trade-off

    Brute force is preferable only for very small inputs where simplicity matters more than performance.

  4. Final Answer:

    Option A -> Option A

  5. Quick Check:

    Small input -> brute force simplicity wins [OK]
Quick Trick: Small input -> brute force; large input -> sweep line [OK]
Common Mistakes:
MISTAKES
  • Thinking brute force is better for large inputs
Trap Explanation:
PITFALL
  • Candidates confuse simplicity with scalability, choosing brute force incorrectly.
Interviewer Note:
CONTEXT
  • Tests understanding of trade-offs between algorithmic approaches.
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