17. Problem 16 is reminiscent of the game known as Othello (or Reversi) which is covered in Chapter 16 (Advanced Computer Games). Othello starts with four stones (two White and two Black) placed in the middle of an 8 × 8 board (as in chess and checkers). When a stone is flipped to the opposite color, the perpendicular adjacent stones are flipped as in the problem above. Consider what might be a strong strategy for playing this game.