A meeting and break
Source: Problem 1, Polish NO 1989
August 17, 2005
modular arithmeticcombinatorics proposedcombinatorics
Problem Statement
An even number of politicians are sitting at a round table. After a break, they come back and sit down again in arbitrary places. Show that there must be two people with the same number of people sitting between them as before the break..
Additional problem:
Solve the problem when the number of people is in a form .