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MathNet 2013 Question 99

Math Olympiad Vault · MathNet 2013

Question 99

The number $2013$ is written on the board. Two players are playing the following game. A move consists of replacing the number on the board with the difference of this number and one of its divisors. The player who writes $0$ loses. Who of the two players can guarantee the win?

(Oleksiy Piskun)