Dynamic Programming: Knapsack - Coin Change II (Count Ways)
You need to find the number of distinct combinations to make a target amount using unlimited coins of given denominations. Which algorithmic pattern best fits this problem?
You need to find the number of distinct combinations to make a target amount using unlimited coins of given denominations. Which algorithmic pattern best fits this problem?
easy🔍 Pattern Recognition Q1 of Q15
Step-by-Step Solution
Solution:
Step 1: Identify problem constraints
The problem requires counting combinations with unlimited usage of coins.Step 2: Match to known patterns
Unbounded Knapsack pattern fits because it allows unlimited item usage and counts combinations.Final Answer:
Option C -> Option CQuick Check:
Unlimited coins and combination count -> Unbounded Knapsack [OK]
Quick Trick: Unlimited items + combinations -> Unbounded Knapsack [OK]
Common Mistakes:
MISTAKES- Confusing with 0/1 Knapsack
- Thinking greedy solves counting combinations
Trap Explanation:
PITFALL- Candidates often confuse unlimited usage with limited usage patterns or greedy methods that don't count all combinations.
Interviewer Note:
CONTEXT- Tests candidate's ability to recognize the correct DP pattern from problem description.
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