Coin Change Problem
Detailed guide and Python implementation for the 'Coin Change Problem' problem.
Problem Statement
Write a function count_coin_change(coins, n) that returns the number of distinct ways to make change for a target amount n using an unlimited supply of the given coin denominations coins.
- •1 <= len(coins) <= 100
- •1 <= coins[i] <= 1000
- •1 <= n <= 1000
Examples
count_coin_change([1, 2, 3], 4)
4
There are 4 ways: {1,1,1,1}, {1,1,2}, {2,2}, {1,3}.
count_coin_change([2, 5, 3, 6], 10)
5
There are 5 ways: {2,2,2,2,2}, {2,2,3,3}, {2,2,6}, {2,3,5}, {5,5}.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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