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Which of the following problems CANNOT be solved using the Minimum Subset Sum Difference dynamic programming approach?

easy🔍 Pattern Recognition Q2 of Q15
Dynamic Programming: Knapsack - Minimum Subset Sum Difference
Which of the following problems CANNOT be solved using the Minimum Subset Sum Difference dynamic programming approach?
AFind the maximum sum subset with sum less than or equal to a given limit
BFind if a subset exists with sum exactly equal to a target value
CFind the shortest path in a weighted graph
DPartition a set into two subsets minimizing the absolute difference of their sums
Step-by-Step Solution
Solution:

  1. Step 1: Analyze problem types

    Options A, B, and C are subset sum or knapsack variants solvable by DP subset sum approaches.

  2. Step 2: Identify mismatch

    Shortest path in weighted graph is a graph algorithm problem, unrelated to subset sum or partitioning.

  3. Final Answer:

    Option C -> Option C

  4. Quick Check:

    Graph shortest path ≠ subset sum DP [OK]
Quick Trick: Graph shortest path ≠ subset sum DP [OK]
Common Mistakes:
MISTAKES
  • Confusing maximum sum subset with minimum difference problem
Trap Explanation:
PITFALL
  • Candidates often think all optimization problems are knapsack variants, but graph shortest path requires different algorithms.
Interviewer Note:
CONTEXT
  • Tests anti-pattern recognition and understanding of problem domains.
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