Question 157
Two players share a pile of coins, alternating in taking one coin off the pile and placing it on any empty square of a $2008 \times 2008$ chessboard. The player who puts the coin onto the board in such a way that together with three other coins already on the board it forms a non-rectangular isosceles trapezoid with bases parallel to two of the edges of the board, wins. Which of the players has the winning strategy – the first or the second?