Players A and B remove the numbers 1 to 9
Source: CentroAmerican 2004
December 10, 2010
combinatorics proposedcombinatorics
Problem Statement
On a whiteboard, the numbers to are written. Players and take turns, and is first. Each player in turn chooses one of the numbers on the whiteboard and removes it, along with all multiples (if any). The player who removes the last number loses.
Determine whether any of the players has a winning strategy, and explain why.