JBMO Shortlist 2023 C4
Source: JBMO Shortlist 2023, C4
June 28, 2024
gameJBMOJBMO Shortlistcombinatorics
Problem Statement
Anna and Bob are playing the following game: The number is initially written on the blackboard. With Anna playing first, they alternately double the number currently written on the blackboard or square it. The person who first writes on the blackboard a number greater than is the winner. Determine which player has a winning strategy.