2013 China IMO Team Selection Test 3 Day 1 Q3
Source: 24 Mar 2013
April 1, 2013
combinatorics proposedcombinatorics
Problem Statement
people, sitting at a round table in any order, had cards, respectively.
A transfer is someone give one card to one of the two people adjacent to him.
Find the smallest positive integer such that there always can through no more than times transfer, each person hold cards of the same number, regardless of the sitting order.