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.
\n\nThe answer is guaranteed to fit into a signed 32-bit integer.
\n\n\n
Example 1:
\n\n\nInput: amount = 5, coins = [1,2,5]\nOutput: 4\nExplanation: there are four ways to make up the amount:\n5=5\n5=2+2+1\n5=2+1+1+1\n5=1+1+1+1+1\n\n\n
Example 2:
\n\n\nInput: amount = 3, coins = [2]\nOutput: 0\nExplanation: the amount of 3 cannot be made up just with coins of 2.\n\n\n
Example 3:
\n\n\nInput: amount = 10, coins = [10]\nOutput: 1\n\n\n
\n
Constraints:
\n\n1 <= coins.length <= 3001 <= coins[i] <= 5000coins are unique.0 <= amount <= 5000给你一个整数数组 coins 表示不同面额的硬币，另给一个整数 amount 表示总金额。
请你计算并返回可以凑成总金额的硬币组合数。如果任何硬币组合都无法凑出总金额，返回 0 。
假设每一种面额的硬币有无限个。
\n\n题目数据保证结果符合 32 位带符号整数。
\n\n\n\n
示例 1：
\n\n\n输入：amount = 5, coins = [1, 2, 5]\n输出：4\n解释：有四种方式可以凑成总金额：\n5=5\n5=2+2+1\n5=2+1+1+1\n5=1+1+1+1+1\n\n\n
示例 2：
\n\n\n输入：amount = 3, coins = [2]\n输出：0\n解释：只用面额 2 的硬币不能凑成总金额 3 。\n\n\n
示例 3：
\n\n\n输入：amount = 10, coins = [10] \n输出：1\n\n\n
\n\n
提示：
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