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When is approach (1) preferable over (2)?

hard⚖️ Approach Comparison Q8 of Q15
Intervals - Meeting Rooms I
Consider two approaches to check if a person can attend all meetings: (1) brute force nested loops checking all pairs, and (2) sorting intervals and a single pass check. When is approach (1) preferable over (2)?
AWhen intervals are already sorted by start time
BWhen n is very small and simplicity is preferred over sorting overhead
CWhen the number of intervals n is very large
DWhen intervals have very large start and end values
Step-by-Step Solution
Solution:
  1. Step 1: Compare complexities

    Brute force is O(n^2), sorting + single pass is O(n log n).
  2. Step 2: Consider input size impact

    For very small n, brute force may be simpler and faster due to no sorting overhead.
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Small n favors brute force simplicity [OK]
Quick Trick: Brute force better only for very small n [OK]
Common Mistakes:
MISTAKES
  • Assuming brute force always worse
  • Ignoring input size impact
Trap Explanation:
PITFALL
  • Candidates often overlook constant factors and simplicity for small inputs.
Interviewer Note:
CONTEXT
  • Tests tradeoff reasoning between algorithmic approaches.
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