Efficient Teams

Problem Statement

Efficient Teams Problem Description A firm has 2n employees, where the i-th employee has an efficiency equal to i (for i = 1, 2, ..., 2n). The firm wants to organize these employees into n teams of 2 members each, with each employee assigned to exactly one team. There are two types of tasks that teams can perform: - Task Type 1: The team's efficiency is the minimum efficiency of its two members. - Task Type 2: The team's efficiency is the maximum efficiency of its two members. The firm selects x (0 <= x <= n) teams to perform Task Type 1 and assigns the remaining n - x teams to Task Type 2. The goal of the firm is to make the efficiency of each i-th team (0-based index) equal to totalEfficiency[i]. Determine the number of possible values for x (0 <= x <= n) for which the target efficiency list totalEfficiency can be achieved. For each x, the firm can freely choose how to pair employees to form teams. Examples Example 1: Given n = 3, totalEfficiency = [1, 2, 4]. The efficiency of employ