How to Solve Minimum Cost to Hire K Workers Leetcode Problem - Interview Coder Guide
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How to Solve Minimum Cost to Hire K Workers Problem

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Hard#887
LeetCode Problem

Minimum Cost to Hire K Workers

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...

ArrayGreedySorting+1 more

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Problem Breakdown

Understanding the Minimum Cost to Hire K Workers Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

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: Every worker in the paid group must be paid at least their minimum wage expectation. In the group, each worker's pay must be directly proportional to their quality. This means if a worker’s quality is double that of another worker in the group, then they must be paid twice as much as the other worker. 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.

HardProblem #887
LeetCode

Minimum Cost to Hire K Workers

Related Topics
ArrayGreedySortingHeap (Priority Queue)
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Examples

Example 1
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.

Example 2
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.

Constraints

n == quality.length == wage.length
1 <= k <= n <= 104
1 <= quality[i], wage[i] <= 104

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