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Define the vectors x and y as the directed line segments from a6 to b8, and a6 to c7 respectively on a chessboard. Other traditional

Define the vectors x and y as the directed line segments from a6 to b8, and a6 to c7 respectively on a chessboard. Other traditional knight moves such as a6 to c5, and a6 to b4, are impossible for your white knight due to weak knees. Hence your knight can only move in the x, x, y or y directions. Nonetheless, your knight can move from a6 to capture the stationary black king at g3!What combination of x and y moves will accomplish this? Use the syntax ax+by where a and b are integers (for example 2x+3y )

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