Y by
At a chess tournament, every pair of contestants played each other at most once. If any two con-
testants,
and
, failed to play each other, then exactly two other contestants,
and
, played
against both
and
during the tournament. Moreover, no
contestants played exactly
games
between them. Prove that every contestant played the same number of games.
Authored by Mirko Petrushevski
testants,




against both




between them. Prove that every contestant played the same number of games.
Authored by Mirko Petrushevski
This post has been edited 2 times. Last edited by steppewolf, Feb 9, 2025, 10:40 PM