Question This game is played with a single counter on an otherwise empty 8 x 8 chess board. Players take turns and move the counter on the board either one squares to the left, one square down, or, one square down and one square to the left. The terminal position is the bottom left square. The player who moves the token into the terminal position wins the game. 8 7 6 + 5 4 3 2 1 1 2 3 4 5 6 7 8 (a) For each of the squares on a 8 x 8 board determine if it is a N or a P position. (Marks 4) (b) Give a winning move starting in the position (6,3). (Marks 2) (c) What are the P positions (m, k) on a general n x n board? Briefly explain your (Marks 4) answer. Question This game is played with a single counter on an otherwise empty 8 x 8 chess board. Players take turns and move the counter on the board either one squares to the left, one square down, or, one square down and one square to the left. The terminal position is the bottom left square. The player who moves the token into the terminal position wins the game. 8 7 6 + 5 4 3 2 1 1 2 3 4 5 6 7 8 (a) For each of the squares on a 8 x 8 board determine if it is a N or a P position. (Marks 4) (b) Give a winning move starting in the position (6,3). (Marks 2) (c) What are the P positions (m, k) on a general n x n board? Briefly explain your (Marks 4)