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Which of the following problems CANNOT be solved optimally using the maximum number of non-overlapping intervals pattern?

easy🔍 Pattern Recognition Q2 of Q15
Intervals - Non-overlapping Intervals (Max Non-Overlap)
Which of the following problems CANNOT be solved optimally using the maximum number of non-overlapping intervals pattern?
ARemove the minimum number of intervals to make the schedule non-overlapping
BSchedule the maximum number of non-overlapping meetings
CFind the maximum total weight of intervals where intervals have weights
DFind the maximum number of intervals you can attend without overlap
Step-by-Step Solution
Solution:

  1. Step 1: Analyze each problem

    Options A, B, and D are classic interval scheduling problems solvable by greedy methods. Find the maximum total weight of intervals where intervals have weights involves weights, requiring DP.

  2. Step 2: Identify the anti-pattern

    Weighted interval scheduling (Find the maximum total weight of intervals where intervals have weights) cannot be solved by the max non-overlapping intervals pattern alone.

  3. Final Answer:

    Option B -> Option B

  4. Quick Check:

    Weighted intervals require DP, not simple greedy [OK]
Quick Trick: Weighted intervals need DP, not greedy [OK]
Common Mistakes:
MISTAKES
  • Assuming all interval problems are greedy
  • Confusing weighted and unweighted intervals
  • Thinking removal and max count are different patterns
Trap Explanation:
PITFALL
  • Candidates often think all interval problems fit the same pattern, missing weighted cases.
Interviewer Note:
CONTEXT
  • Tests anti-pattern recognition and understanding of problem scope.
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