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Coin Change Problem Family Guide

mediumLast edited: September 30, 2025

Introduction
1. Variant Taxonomy
2. Linked Problem Pages
Min Coins
Infinite Supply of Coins
Finite Supply
Count Number Of Ways
Infinite Supply of Coins
Finite Supply of Coins
3. Core Recurrences
3.1 Counting Combinations (Infinite Supply)
3.2 Min Coins (Infinite Supply)
3.3 Finite Supply Counting
3.4 Finite Supply Min Coins
3.5 Permutation Counting (Order Matters)
4. Canonical vs Non-Canonical Systems
5. Complexity Summary
6. Choosing the Right Form
7. Common Pitfalls
8. Relation to Other Problems
9. Edge Case Checklist
10. Implementation Patterns (1D DP Skeletons)
11. When to Use 2D vs 1D
12. Further Extensions
13. Quick Reference Table (Summary)

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