Which of the following problems CANNOT be solved using the Coin Change (Minimum Coins) dynamic programming pattern?

easy🔍 Pattern Recognition Q2 of Q15

Dynamic Programming: Knapsack - Coin Change (Minimum Coins)

AFind the minimum number of coins needed to make a target amount when each coin can be used at most once

BFind the maximum number of ways to make a target amount with unlimited coins

CFind the minimum number of coins needed to make a target amount with unlimited coins

DFind the minimum number of coins needed to make a target amount with unlimited coins and positive denominations

Step-by-Step Solution

Solution:

Step 1: Analyze problem constraints
Find the minimum number of coins needed to make a target amount when each coin can be used at most once restricts coin usage to at most once, which is 0/1 Knapsack, not unbounded.
Step 2: Match to pattern applicability
Coin Change minimum coins pattern assumes unlimited usage; 0/1 usage breaks this assumption.
Final Answer:
Option A -> Option A
Quick Check:
Limited usage -> Not solvable by unbounded knapsack DP [OK]

Quick Trick: Limited usage coins -> Not unbounded knapsack [OK]

Common Mistakes:

MISTAKES

Trap Explanation:

PITFALL

Candidates often think all coin change problems are unbounded knapsack, missing usage limits.

Interviewer Note:

CONTEXT

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