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Tic-tac-toe - logic puzzle

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In Greenwich Village, tic-tac-toe is played in an atypical way. At each turn a player marks as many squares as he wishes provided they are in the same vertical or horizontal row (they need not be adjacent). The winner is the one who marks the last square.

Which player has the advantage, and what strategy should he employ?

Answer

The 2nd player has the advantage