minimum-cost-to-hire-k-workers

Minimum Cost to Hire K Workers

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mincostToHireWorkers

There are <code>n</code> workers. You are given two integer arrays <code>quality</code> and <code>wage</code> where <code>quality[i]</code> is the quality of the <code>ith</code> worker and <code>wage[i]</code> is the minimum wage expectation for the <code>ith</code> worker.

We want to hire exactly <code>k</code> workers to form a paid group. To hire a group of <code>k</code> workers, we must pay them according to the following rules:

<ol>
	<li>Every worker in the paid group should be paid in the ratio of their quality compared to other workers in the paid group.</li>
	<li>Every worker in the paid group must be paid at least their minimum wage expectation.</li>
</ol>

Given the integer <code>k</code>, return the least amount of money needed to form a paid group satisfying the above conditions. Answers within <code>10-5</code> of the actual answer will be accepted.

&nbsp;
Example 1:

<pre>
Input: quality = [10,20,5], wage = [70,50,30], k = 2
Output: 105.00000
Explanation: We pay 70 to 0th worker and 35 to 2nd worker.
</pre>

Example 2:

<pre>
Input: quality = [3,1,10,10,1], wage = [4,8,2,2,7], k = 3
Output: 30.66667
Explanation: We pay 4 to 0th worker, 13.33333 to 2nd and 3rd workers separately.
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>n == quality.length == wage.length</code></li>
	<li><code>1 &lt;= k &lt;= n &lt;= 104</code></li>
	<li><code>1 &lt;= quality[i], wage[i] &lt;= 104</code></li>
</ul>

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