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g0501_0600.s0518_coin_change_2.readme.md Maven / Gradle / Ivy

518\. Coin Change II

Medium

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:** 4

**Explanation:** 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:** 0

**Explanation:** 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`