MathDB

A league consists of

2024

players. A round involves splitting the players into two different teams and having every member of one team play with every member of the other team. A round is called balanced if both teams have an equal number of players. A tournament consists of several rounds at the end of which any two players have played each other. The committee organised a tournament last year which consisted of

N

rounds. Prove that the committee can organise a tournament this year with

N

balanced rounds.
Proposed by Anant Mudgal and Navilarekallu Tejaswi

1

Problems(1)