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Java-based LeetCode algorithm problem solutions, regularly updated
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322\. Coin Change
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 fewest number of coins that you need to make up that amount_. If that amount of money cannot be made up by any combination of the coins, return `-1`.
You may assume that you have an infinite number of each kind of coin.
**Example 1:**
**Input:** coins = [1,2,5], amount = 11
**Output:** 3
**Explanation:** 11 = 5 + 5 + 1
**Example 2:**
**Input:** coins = [2], amount = 3
**Output:** -1
**Example 3:**
**Input:** coins = [1], amount = 0
**Output:** 0
**Constraints:**
* `1 <= coins.length <= 12`
* 1 <= coins[i] <= 231 - 1
* 0 <= amount <= 104
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