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Which of the following problems CANNOT be solved using the Employee Free Time interval merging pattern?

easy🔍 Pattern Recognition Q2 of Q15
Intervals - Employee Free Time
Which of the following problems CANNOT be solved using the Employee Free Time interval merging pattern?
AMerging overlapping intervals into a minimal set of intervals
BPartitioning intervals into the minimum number of rooms so no intervals overlap
CFinding the maximum number of overlapping intervals at any point in time
DFinding common free time intervals across multiple employees' schedules
Step-by-Step Solution
Solution:

  1. Step 1: Identify that Employee Free Time pattern merges intervals to find gaps, not partition them

    The pattern merges intervals to find free gaps, but interval partitioning requires a different approach (e.g., min rooms problem).

  2. Step 2: Recognize that minimum room partitioning needs a priority queue or sweep line with counting, not just merging

    Partitioning intervals into rooms is a classic interval partition problem, which is distinct from free time detection.

  3. Final Answer:

    Option B -> Option B

  4. Quick Check:

    Interval partitioning is a different pattern than free time detection [OK]
Quick Trick: Partitioning intervals needs different logic than merging [OK]
Common Mistakes:
MISTAKES
  • Assuming all interval problems can be solved by merging
Trap Explanation:
PITFALL
  • Candidates confuse merging intervals with partitioning, which requires tracking concurrent intervals distinctly.
Interviewer Note:
CONTEXT
  • Tests anti-pattern recognition and problem classification skills.
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