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Compare the brute force one-pass merge approach and the sorting + merge after insertion approach for inserting intervals. When is the brute force approach preferable?

hard⚖️ Approach Comparison Q8 of Q15
Intervals - Insert Interval
Compare the brute force one-pass merge approach and the sorting + merge after insertion approach for inserting intervals. When is the brute force approach preferable?
AWhen intervals are unsorted and overlapping heavily
BWhen intervals are sorted and mostly non-overlapping, allowing O(n) insertion
CWhen intervals are sorted and non-overlapping initially
DWhen intervals are very large and sorting is too expensive
Step-by-Step Solution
Solution:
  1. Step 1: Analyze brute force approach

    Brute force one-pass merge works in O(n) if intervals are sorted and mostly non-overlapping.
  2. Step 2: Compare with sorting + merge

    Sorting + merge is O(n log n), so brute force is better when input is already sorted and clean.
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Brute force is preferable for sorted, mostly non-overlapping intervals [OK]
Quick Trick: Brute force is O(n) if intervals are sorted and mostly disjoint [OK]
Common Mistakes:
MISTAKES
  • Assuming brute force always better or ignoring input order
Trap Explanation:
PITFALL
  • Candidates confuse brute force applicability ignoring input properties.
Interviewer Note:
CONTEXT
  • Tests tradeoff reasoning between approaches based on input characteristics.
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