Re: [pbmserv] New game: Binar

["Randall Bart" <barticus@att.net>]

>     The -size parameter specifies the board size (default 4).

>          a b c d
> 
>      4   . 1 0 .   4
>      3   0 1<1>0   3
>      2   . . 1 .   2
>      1   . . 0 .   1
> 
>          a b c d

The game has an asymmetry.  The odd player is trying to get 1 or 3 of his pieces in a line, while the even player is trying to get 0, 2, or 4 of his pieces in a line.  What is unusual is that the asymmetry goes away when the board size is odd.  With size 5, each player wants an odd number of his own pieces (1, 3, or 5) and an even number of opponent pieces (0, 2, or 4) in a line.