Dynamic Programming: Knapsack - Maximum Profit in Job Scheduling
Which of the following problems CANNOT be solved optimally using the Maximum Profit in Job Scheduling pattern (DP with sorting and binary search)?
Which of the following problems CANNOT be solved optimally using the Maximum Profit in Job Scheduling pattern (DP with sorting and binary search)?
easy🔍 Pattern Recognition Q2 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze problem variants
Unweighted interval scheduling (A) can be solved greedily; weighted interval scheduling (B) fits the pattern; knapsack without intervals (C) is classic knapsack, not interval scheduling.Step 2: Identify which problem breaks the pattern
Allowing unlimited reuse of jobs (D) changes the problem to unbounded knapsack with intervals, which the standard DP with binary search does not handle.Final Answer:
Option A -> Option AQuick Check:
Unlimited reuse breaks interval scheduling assumptions [OK]
Quick Trick: Unlimited reuse invalidates interval scheduling DP [OK]
Common Mistakes:
MISTAKES- Confusing unweighted with weighted scheduling
- Assuming all knapsack variants fit interval scheduling pattern
Trap Explanation:
PITFALL- Candidates often think all scheduling problems fit the pattern, ignoring reuse constraints.
Interviewer Note:
CONTEXT- Tests anti-pattern recognition and understanding of problem constraints.
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