Solution: Maximum Performance of a Team
Explore how to solve the maximum performance of a team problem by combining the Top K Elements pattern with a greedy algorithm. Learn to efficiently select up to k engineers with the highest speeds while maintaining the highest minimum efficiency, using sorting and a min-heap data structure. Understand the approach to calculate performance as the product of speed sum and minimum efficiency, and implement this solution within time and space complexity constraints.
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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
Return the maximum performance of the team. As the result can be a very large number, return it modulo