Solution: Maximum Performance of a Team

Explore how to maximize a team's performance by selecting up to k engineers based on their speed and efficiency. Learn to use sorting, min heaps, and a greedy algorithm to efficiently compute the maximum performance modulo large numbers. Understand the tradeoffs between speed sums and minimum efficiency in forming optimal teams.

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Statement
Solution
- Time complexity
- Space complexity

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 $(10^9 + 7)$ .

Constraints:

$1 \leq$ k $\leq$ n $\leq 10^3$ ...