MathDB
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 22 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 2023102023^{10} is the winner. Determine which player has a winning strategy.