SOLUTION: On an infinite chessboard a game is played as follows. At the start {{{n^2}}} pieces are arranged in an n x n block of adjoining squares, one piece on each square. A move in the g

Algebra ->  Permutations -> SOLUTION: On an infinite chessboard a game is played as follows. At the start {{{n^2}}} pieces are arranged in an n x n block of adjoining squares, one piece on each square. A move in the g      Log On


   



Question 1172762: On an infinite chessboard a game is played as follows. At the start n%5E2 pieces are arranged in an
n x n block of adjoining squares, one piece on each square. A move in the game is a jump in a horizontal or vertical direction over an adjacent occupied square to an unoccupied square immediately beyond. The piece which has been jumped over is removed. Find those values of n for which the game can end with only one piece remaining on the board.

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

See the solution under these links

http://people.missouristate.edu/lesreid/POW12_01.html

http://people.missouristate.edu/lesreid/Sol12_01.html?