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Game on the board

Source: Serbian JBMO TST 2018, problem 4

May 21, 2018
combinatoricscombinatorics proposedJBMO TST

Problem Statement

Two players are playing the following game. They are alternatively putting blue and red coins on the board 20182018 by 20182018. If first player creates nn blue coins in a row or column, he wins. Second player wins if he can prevent it. Who will win if: a)n=4a)n=4; b)n=5b)n=5? Note: first player puts only blue coins, and second only red.
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