You are given an integer array ranks representing the ranks of some mechanics. ranksi is the rank of the ith mechanic. A mechanic with a rank r can repair n cars in r * n2 minutes.
You are also given an integer cars representing the total number of cars waiting in the garage to be repaired.
Return the minimum time taken to repair all the cars.
\n\nNote: All the mechanics can repair the cars simultaneously.
\n\n\n
Example 1:
\n\n\nInput: ranks = [4,2,3,1], cars = 10\nOutput: 16\nExplanation: \n- The first mechanic will repair two cars. The time required is 4 * 2 * 2 = 16 minutes.\n- The second mechanic will repair two cars. The time required is 2 * 2 * 2 = 8 minutes.\n- The third mechanic will repair two cars. The time required is 3 * 2 * 2 = 12 minutes.\n- The fourth mechanic will repair four cars. The time required is 1 * 4 * 4 = 16 minutes.\nIt can be proved that the cars cannot be repaired in less than 16 minutes.\n\n\n
Example 2:
\n\n\nInput: ranks = [5,1,8], cars = 6\nOutput: 16\nExplanation: \n- The first mechanic will repair one car. The time required is 5 * 1 * 1 = 5 minutes.\n- The second mechanic will repair four cars. The time required is 1 * 4 * 4 = 16 minutes.\n- The third mechanic will repair one car. The time required is 8 * 1 * 1 = 8 minutes.\nIt can be proved that the cars cannot be repaired in less than 16 minutes.\n\n\n
\n
Constraints:
\n\n1 <= ranks.length <= 1051 <= ranks[i] <= 1001 <= cars <= 106给你一个整数数组 ranks ，表示一些机械工的 能力值 。ranksi 是第 i 位机械工的能力值。能力值为 r 的机械工可以在 r * n2 分钟内修好 n 辆车。
同时给你一个整数 cars ，表示总共需要修理的汽车数目。
请你返回修理所有汽车 最少 需要多少时间。
\n\n注意：所有机械工可以同时修理汽车。
\n\n\n\n
示例 1：
\n\n\n输入：ranks = [4,2,3,1], cars = 10\n输出：16\n解释：\n- 第一位机械工修 2 辆车，需要 4 * 2 * 2 = 16 分钟。\n- 第二位机械工修 2 辆车，需要 2 * 2 * 2 = 8 分钟。\n- 第三位机械工修 2 辆车，需要 3 * 2 * 2 = 12 分钟。\n- 第四位机械工修 4 辆车，需要 1 * 4 * 4 = 16 分钟。\n16 分钟是修理完所有车需要的最少时间。\n\n\n
示例 2：
\n\n\n输入：ranks = [5,1,8], cars = 6\n输出：16\n解释：\n- 第一位机械工修 1 辆车，需要 5 * 1 * 1 = 5 分钟。\n- 第二位机械工修 4 辆车，需要 1 * 4 * 4 = 16 分钟。\n- 第三位机械工修 1 辆车，需要 8 * 1 * 1 = 8 分钟。\n16 分钟时修理完所有车需要的最少时间。\n\n\n
\n\n
提示：
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