Two players start with a 2xN grid of squares. Each player, in turn, may take either a single square or a 2x2 block of squares. The player who takes the last square loses.
For what values of N does player 2 win?
(In reply to Spoiling moves
are you saying the problem is unclear?
For a 2x3, player 1 can win by playing small and not taking a corner.
For a 2x4, player 1 can't win. Going small will allow Player 2 to play big. Going big either leaves two 1x2 or a single 2x2 which also gives player 2 the win.
Play and counter: O=not taken
1O22 O122 112O O112
OO22 OO22 11OO O11O
Posted by Jer
on 2019-01-17 11:58:25