518. Coin Change II

Medium

7.3K

133

You are given an integer array `coins`

representing coins of different denominations and an integer `amount`

representing a total amount of money.

Return *the number of combinations that make up that amount*. If that amount of money cannot be made up by any combination of the coins, return `0`

.

You may assume that you have an infinite number of each kind of coin.

The answer is **guaranteed** to fit into a signed **32-bit** integer.

**Example 1:**

Input:amount = 5, coins = [1,2,5]Output:4Explanation:there are four ways to make up the amount: 5=5 5=2+2+1 5=2+1+1+1 5=1+1+1+1+1

**Example 2:**

Input:amount = 3, coins = [2]Output:0Explanation:the amount of 3 cannot be made up just with coins of 2.

**Example 3:**

Input:amount = 10, coins = [10]Output:1

**Constraints:**

`1 <= coins.length <= 300`

`1 <= coins[i] <= 5000`

- All the values of
`coins`

are**unique**. `0 <= amount <= 5000`

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