Problem #4

A game is played on an n×n board. If two pieces are adjacent (either horizontally, vertically, or diagonally), then one piece can jump over the other to the square diametrically opposite the jumped square (if there is an empty space to land on), and the piece that is jumped over is removed.

For example, in the figure below piece A can jump over piece B (as shown), but no other piece can jump over another.

The solution will be posted shortly.

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