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Solution: Maximum Performance of a Team

Explore how to form a team of up to k engineers by maximizing the product of their total speed and minimum efficiency. This lesson teaches you the greedy strategy of sorting engineers by efficiency and using a min-heap to maintain top speeds, helping you understand how to solve optimization problems involving performance and constraints.

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) ...