Computers and Technology, 17.04.2020 20:59, laycihyatt11

A chess rook can move horizontally or vertically to any square in the same row or in the same column of a chessboard (8 by 8). You are asked to find the number of shortest paths by which a rook can move from one corner of a chessboard to the diagonally opposite corner. The length of a path is measured by the number of squares it passes through, including the first and the last squares. Solve the problem by a dynamic programming algorithm. Write down your recurrence relation and initial condition. Briefly explain your solution.

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A chess rook can move horizontally or vertically to any square in the same row or in the same column...