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Which of the following problems CANNOT be solved optimally using the greedy assignment pattern similar to the Assign Cookies problem?

easy🔍 Pattern Recognition Q2 of Q15
Greedy Algorithms - Assign Cookies
Which of the following problems CANNOT be solved optimally using the greedy assignment pattern similar to the Assign Cookies problem?
AKnapsack problem where items have values and weights and capacity is limited
BAssigning cookies to children to maximize the number of content children
CMatching jobs to machines where each job requires a specific machine type
DScheduling tasks on a single machine to minimize total completion time
Step-by-Step Solution
Solution:

  1. Step 1: Analyze problem nature

    Knapsack requires considering value-weight tradeoffs, which greedy cannot guarantee optimality for.

  2. Step 2: Contrast with greedy assignment

    Assign Cookies and similar problems assign resources once to maximize count, solvable greedily; knapsack needs DP.

  3. Final Answer:

    Option A -> Option A

  4. Quick Check:

    Knapsack is classic DP, not greedy [OK]
Quick Trick: Knapsack needs DP, not greedy assignment [OK]
Common Mistakes:
MISTAKES
  • Assuming all assignment problems are greedy
  • Confusing scheduling with knapsack
  • Ignoring value-weight tradeoff in knapsack
Trap Explanation:
PITFALL
  • Candidates often think all resource assignments are greedy, missing knapsack's complexity.
Interviewer Note:
CONTEXT
  • Tests anti-pattern recognition and understanding of greedy limitations.
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