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Maximum Performance of a Team

Explore how to build a team for maximum performance by selecting engineers based on speed and efficiency. Understand the calculation of team performance as the sum of speeds multiplied by the minimum efficiency. Learn to apply the top k elements pattern and heaps to solve this coding interview problem efficiently.

Statement

You are given two integers, n and k, and two integer arrays, speed and efficiency, both of length n. There are n engineers numbered from 1 to n. The value speed[i] represents the speed of the i-th engineer, and efficiency[i] represents their efficiency.

To form a team with the maximum performance, you need to select at most k different engineers from the n engineers.

The performance of a team is calculated as follows:

The sum of the selected engineers’ speeds ×\times the minimum efficiency among the selected engineers

Return the maximum performance of the team. As the result can be a very large number, return it modulo (109+7)(10^9 + 7) ...