known combi from somewhere else (BxMO, IMOSL)
Opgave - Vojtech Jarnik Olympiad 2006 dag 1 vraag 3
Two players play the following game:
Let $n$ be a fixed integer greater than $1$.
Starting from number $k=2$, each player has two possible moves:
either replace the number $k$ by $k+1$ or by $2k$.
The player who is forced to write a number greater than $n$ loses the game.
Which player has a winning strategy for which $n$?
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