[Solved] Which of the following problems CANNOT be solved using the subset sum dynamic programming pattern? - Ans: Check if a subset of numbers can sum to a target with unlimited repetitions... | Dynamic Programming: Knapsack

Dynamic Programming: Knapsack - Subset Sum

Which of the following problems CANNOT be solved using the subset sum dynamic programming pattern?

ADetermine if a subset of numbers sums exactly to a target value

BFind the maximum sum less than or equal to a target using subset elements

CCheck if a subset of numbers can sum to a target with unlimited repetitions allowed

DCount the number of subsets that sum exactly to a target

Step-by-Step Solution

Solution:

Step 1: Analyze problem requirements
Counting subsets and unlimited repetitions require different DP formulations.
Step 2: Identify pattern applicability
Standard subset sum DP handles boolean feasibility for 0/1 subsets; unlimited repetitions require unbounded knapsack DP.
Final Answer:
Option C -> Option C
Quick Check:
Unlimited repetitions require different DP than 0/1 subset sum [OK]

Quick Trick: Subset sum DP is for 0/1 subsets, not unlimited repetitions [OK]

Common Mistakes:

MISTAKES

Trap Explanation:

PITFALL

Interviewer Note:

CONTEXT

Master "Subset Sum" in Dynamic Programming: Knapsack

3 interactive learning modes - each teaches the same concept differently

More Dynamic Programming: Knapsack Quizzes

Which of the following problems CANNOT be solved using the subset sum dynamic programming pattern?