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

  1. 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.

  2. Step 2: Match to pattern applicability

    Coin Change minimum coins pattern assumes unlimited usage; 0/1 usage breaks this assumption.

  3. Final Answer:

    Option A -> Option A

  4. Quick Check:

    Limited usage -> Not solvable by unbounded knapsack DP [OK]
Quick Trick: Limited usage coins -> Not unbounded knapsack [OK]
Common Mistakes:
MISTAKES
  • Confusing 0/1 knapsack with unbounded knapsack
  • Assuming all coin change variants fit same DP pattern
Trap Explanation:
PITFALL
  • Candidates often think all coin change problems are unbounded knapsack, missing usage limits.
Interviewer Note:
CONTEXT
  • Tests anti-pattern recognition and understanding of usage constraints in DP.
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