Which of the following problems CANNOT be solved using the Equal Partition (Partition Equal Subset Sum) dynamic programming approach?

easy🔍 Pattern Recognition Q2 of Q15

Dynamic Programming: Knapsack - Equal Partition (Partition Equal Subset Sum)

AFind the longest increasing subsequence in an array

BFind if there exists a subset with sum equal to half the total sum

CDetermine if a subset of numbers sums to a given target

DCheck if an array can be split into two subsets with equal sums

Step-by-Step Solution

Solution:

Step 1: Analyze problem types
Options B, C, and D are all variations of subset sum or partition problems solvable by 0/1 Knapsack DP.
Step 2: Identify mismatch
Longest increasing subsequence is a different DP pattern unrelated to subset sums or partitioning.
Final Answer:
Option A -> Option A
Quick Check:
LIS ≠ subset sum DP pattern [OK]

Quick Trick: LIS is not a subset sum problem [OK]

Common Mistakes:

MISTAKES

Trap Explanation:

PITFALL

Candidates often think all DP problems are variations of knapsack, missing pattern distinctions.

Interviewer Note:

CONTEXT

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