Generation

generate functionSat, 11 Mar 2023

1. Consider a board of 5 squares in length and 6 squares in width. 2. The pieces are moved from point A at the upper left corner of the board to point B at the lower right corner as the outward path, and then from point B to point A as the inward path. However, it is assumed that the squares passed in the outward movement cannot be passed in the inward movement. Furthermore, the piece can only move to the right, down or diagonally right on the outward path, and to the left, up or diagonally left on the inward path. 3. Let s be the number of ways to move a piece satisfying these conditions. 4. find and output s.

def path(row, col): if row==col==0: return 1 count = 0 if row>0: count += path(row-1, col) if col>0: count += path(row, col-1) if row>0 and col>0: count += path(row-1, col-1) return count print(path(5, 6))

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