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Which of the following problems CANNOT be effectively solved using the Last Stone Weight II DP pattern (0/1 Knapsack subset sum)?

easy🔍 Pattern Recognition Q2 of Q15
Dynamic Programming: Knapsack - Last Stone Weight II
Which of the following problems CANNOT be effectively solved using the Last Stone Weight II DP pattern (0/1 Knapsack subset sum)?
APartition an array into two subsets with minimum difference in sums
BFind if a subset sums exactly to half the total sum
CMaximize the total value of items without exceeding capacity (classic knapsack)
DFind the longest increasing subsequence in an array
Step-by-Step Solution
Solution:

  1. Step 1: Analyze problem types

    Options A, B, and C relate to subset sums or knapsack, which fit the DP pattern.

  2. Step 2: Identify mismatch

    Longest increasing subsequence is a different DP pattern focusing on sequence order, not subset sums.

  3. Final Answer:

    Option D -> Option D

  4. Quick Check:

    LIS is not a subset sum problem [OK]
Quick Trick: LIS is sequence DP, not subset sum DP [OK]
Common Mistakes:
MISTAKES
  • Confusing knapsack with LIS
  • Assuming all DP problems are subset sums
Trap Explanation:
PITFALL
  • Candidates often think all DP problems are similar; LIS requires different state and transitions.
Interviewer Note:
CONTEXT
  • Checks candidate's ability to distinguish DP patterns and avoid overgeneralization
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