You are given an integer array coins of length n which represents the n coins that you own. The value of the ith coin is coins[i]. You can make some value x if you can choose some of your n coins such that their values sum up to x.
Return the maximum number of consecutive integer values that you can make with your coins starting from and including 0.
Note that you may have multiple coins of the same value.
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Example 1:
\n\n\nInput: coins = [1,3]\nOutput: 2\nExplanation: You can make the following values:\n- 0: take []\n- 1: take [1]\nYou can make 2 consecutive integer values starting from 0.\n\n
Example 2:
\n\n\nInput: coins = [1,1,1,4]\nOutput: 8\nExplanation: You can make the following values:\n- 0: take []\n- 1: take [1]\n- 2: take [1,1]\n- 3: take [1,1,1]\n- 4: take [4]\n- 5: take [4,1]\n- 6: take [4,1,1]\n- 7: take [4,1,1,1]\nYou can make 8 consecutive integer values starting from 0.\n\n
Example 3:
\n\n\nInput: nums = [1,4,10,3,1]\nOutput: 20\n\n
\n
Constraints:
\n\ncoins.length == n1 <= n <= 4 * 1041 <= coins[i] <= 4 * 104给你一个长度为 n 的整数数组 coins ，它代表你拥有的 n 个硬币。第 i 个硬币的值为 coins[i] 。如果你从这些硬币中选出一部分硬币，它们的和为 x ，那么称，你可以 构造 出 x 。
请返回从 0 开始（包括 0 ），你最多能 构造 出多少个连续整数。
你可能有多个相同值的硬币。
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示例 1：
\n\n\n输入：coins = [1,3]\n输出：2\n解释：你可以得到以下这些值：\n- 0：什么都不取 []\n- 1：取 [1]\n从 0 开始，你可以构造出 2 个连续整数。\n\n
示例 2：
\n\n\n输入：coins = [1,1,1,4]\n输出：8\n解释：你可以得到以下这些值：\n- 0：什么都不取 []\n- 1：取 [1]\n- 2：取 [1,1]\n- 3：取 [1,1,1]\n- 4：取 [4]\n- 5：取 [4,1]\n- 6：取 [4,1,1]\n- 7：取 [4,1,1,1]\n从 0 开始，你可以构造出 8 个连续整数。\n\n
示例 3：
\n\n\n输入：nums = [1,4,10,3,1]\n输出：20\n\n
\n\n
提示：
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