Volleyballers throws balls
Source: Saint Petersburg olympiad 2024, 9.4
September 21, 2024
combinatorics
Problem Statement
The coach lined up volleyball players and gave them balls (each volleyball player could get any number of balls). From time to time, one of the volleyball players throws the ball to another (and he catches it). After a while, it turned out that of any two volleyball players, the left one threw the ball to the right exactly twice, and the right one to the left exactly once. For which minimum is this possible?