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Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: College math
Topic ID: 590
#0, Dominos and Nim Values
Posted by Hunter101 on Oct-18-06 at 02:03 PM
How can I work out the Nim values of the starting positions in the following domino game? I have no idea where to start.

The game board is 1 x n and the loser is the player who can not place a domino. I know that the answer to game 1 x 2 is a nim value of 1 but this is obvious.

How can i work out the larger board nim values.

Any help would be greatly appreciated.

Best regards

#1, RE: Dominos and Nim Values
Posted by alexb on Oct-18-06 at 10:35 PM
In response to message #0
>I know that the answer to game 1 x 2 is
>a nim value of 1 but this is obvious.
>

And so it is for 1×3 and 1×4, right? Next, google for the Mex rule.