Play Chomp!
Chomp is played on a rectangular grid - a 3 by 8 grid in this game - such as squares of a candy bar. The lower left red square is considered "poison". Players take turns picking a square. With each choice, all squares above and to the right of the picked square are no longer available --they are eaten. The person forced to take the "poison" square loses.
Who has a winning strategy? Is either player able to control the game? If so, which player can assure he/she wins?
Consider square boards (3x3, 4x4, 5x5, ...) Can you find any positions from which you can guarantee you can win?
Consider boards with 2 rows (2x3, 2x4, 2x5,...) Can you find any positions from which you can guarantee you can win? How can you make sure that you can get to those positions?