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Baltic Way
1996 Baltic Way
16
16
Part of
1996 Baltic Way
Problems
(1)
Filling a 2x2 square two-player game
Source: Baltic Way 1996 Q16
3/19/2011
On an infinite checkerboard two players alternately mark one unmarked cell. One of them uses
×
\times
×
, the other
∘
\circ
∘
. The first who fills a
2
×
2
2\times 2
2
×
2
square with his symbols wins. Can the player who starts always win?
combinatorics proposed
combinatorics