There are n workers. You are given two integer arrays quality and wage where quality[i] is the quality of the ith worker and wage[i] is the minimum wage expectation for the ith worker.
We want to hire exactly k workers to form a paid group. To hire a group of k workers, we must pay them according to the following rules:
Given the integer k, return the least amount of money needed to form a paid group satisfying the above conditions. Answers within 10-5 of the actual answer will be accepted.
\n
Example 1:
\n\n\nInput: quality = [10,20,5], wage = [70,50,30], k = 2\nOutput: 105.00000\nExplanation: We pay 70 to 0th worker and 35 to 2nd worker.\n\n\n
Example 2:
\n\n\nInput: quality = [3,1,10,10,1], wage = [4,8,2,2,7], k = 3\nOutput: 30.66667\nExplanation: We pay 4 to 0th worker, 13.33333 to 2nd and 3rd workers separately.\n\n\n
\n
Constraints:
\n\nn == quality.length == wage.length1 <= k <= n <= 1041 <= quality[i], wage[i] <= 104有 n 名工人。 给定两个数组 quality 和 wage ，其中，quality[i] 表示第 i 名工人的工作质量，其最低期望工资为 wage[i] 。
现在我们想雇佣 k 名工人组成一个 工资组。在雇佣 一组 k 名工人时，我们必须按照下述规则向他们支付工资：
给定整数 k ，返回 组成满足上述条件的付费群体所需的最小金额 。与实际答案误差相差在 10-5 以内的答案将被接受。
\n\n
示例 1：
\n\n\n输入： quality = [10,20,5], wage = [70,50,30], k = 2\n输出： 105.00000\n解释： 我们向 0 号工人支付 70，向 2 号工人支付 35。\n\n
示例 2：
\n\n\n输入： quality = [3,1,10,10,1], wage = [4,8,2,2,7], k = 3\n输出： 30.66667\n解释： 我们向 0 号工人支付 4，向 2 号和 3 号分别支付 13.33333。\n\n
\n\n
提示：
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