Hojoo and Kestutis make moves in turn
Source: Germany Bundeswettbewerb Mathematik 2007, Round 2, Problem 2
July 18, 2008
combinatorics unsolvedcombinatorics
Problem Statement
At the start of the game there are red and green pieces/stones on the table. Hojoo and Kestutis make moves in turn. Hojoo starts. The person due to make a move, chooses a colour and removes pieces of this colour. The number has to be a divisor of the current number of stones of the other colour. The person removing the last piece wins. Who can force the victory?