Olympiad math games

[GilgameshProject]

Hello! I have been struggling with this problems for a couple of hours now...Can someone help me?
Petya and Vasya play the following game on a chessboard (Petya moves first). On each turn, a player selects an empty cell and draws both diagonals in it – one in red and the other in blue. It is forbidden to draw a diagonal in such a way that it shares an endpoint with an already drawn diagonal of the same color. The player who cannot make a move loses. Who will win with correct play?

 

[khansaheb]

Hello! I have been struggling with this problems for a couple of hours now...Can someone help me?
Petya and Vasya play the following game on a chessboard (Petya moves first). On each turn, a player selects an empty cell and draws both diagonals in it – one in red and the other in blue. It is forbidden to draw a diagonal in such a way that it shares an endpoint with an already drawn diagonal of the same color. The player who cannot make a move loses. Who will win with correct play?

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