MathDB

In an 8\times 8 chessboard, the rows are numbers from

1

8

and the columns are labelled from

a

h

. In a two-player game on this chessboard, the first player has a White Rook which starts on the square

b2

, and the second player has a Black Rook which starts on the square

c4

. The two players take turns moving their rooks. In each move, a rook lands on another square in the same row or the same column as its starting square. However, that square cannot be under attack by the other rook, and cannot have been landed on before by either rook. The player without a move loses the game. Which player has a winning strategy?

Problem Statement