KöMaL 2007 B4039
Ann és Bill take turns writing digits of 0 or 1 from left to right next to each other. Ann starts. The game ends when each of them has written down exactly 2007 digits. The resulting sequence of zeros and ones is read as a number written in binary notation. Ann wins if the result is the sum of two perfect squares and Bill wins if it is not. Which of them has a winning strategy?
Official text KöMaL. Quoted with source.
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