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Re: Dominoes on a chessboard

by Chip Eastham <hardmath@[EMAIL PROTECTED] > Mar 31, 2008 at 03:16 PM

On Mar 29, 12:32 pm, "Colin Barker" <colin.bar...@[EMAIL PROTECTED]
> wrote:
> Is it always possible to remove N squares from an NxN chessboard in such
a
> way that the remaining squares can be covered by N*(N-1)/2 dominoes in a
> unique way?
>
> For example, for N=8, there is only one way of covering the following
board,
> where '-' represents a removed square, and '+' represents a remaining
> square:
>
> -+++++++
> +-+-++++
> ++++-+++
> ++++-+++
> +++++-+-
> ++++++++
> ++++++++
> ++++++-+
>
> [This would look better using a non-pro****tional font.]
> --
> Colin

Have you considered posting this problem to comp.lang.prolog?
It suggests to me the question of how best to require that a
solution is unique.

regards, chip
 




 14 Posts in Topic:
Dominoes on a chessboard
"Colin Barker"   2008-03-29 17:32:17 
Re: Dominoes on a chessboard
Virgil <Virgil@[EMAIL   2008-03-29 13:17:54 
Re: Dominoes on a chessboard
Norbert Marrek <egleic  2008-03-29 21:04:03 
Re: Dominoes on a chessboard
"[Mr.] Lynn Kurtz&qu  2008-03-29 21:21:24 
Re: Dominoes on a chessboard
Chip Eastham <hardmath  2008-03-31 15:16:05 
Re: Dominoes on a chessboard
"Colin Barker"   2008-04-01 11:26:17 
Re: Dominoes on a chessboard
Chip Eastham <hardmath  2008-04-02 06:24:48 
Re: Dominoes on a chessboard
"Colin Barker"   2008-04-02 16:35:13 
Re: Dominoes on a chessboard
Chip Eastham <hardmath  2008-04-02 15:28:52 
Re: Dominoes on a chessboard
hagman <google@[EMAIL   2008-04-07 04:37:34 
Re: Dominoes on a chessboard
Chip Eastham <hardmath  2008-04-07 20:01:32 
Re: Dominoes on a chessboard
Chip Eastham <hardmath  2008-04-08 13:17:46 
Re: Dominoes on a chessboard
"Colin Barker"   2008-04-09 16:26:27 
Re: Dominoes on a chessboard
Chip Eastham <hardmath  2008-04-09 08:35:49 

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