A nice chess problem

Anything goes, but keep it seemly...

A nice chess problem

Postby udosuk » Sat Jun 21, 2008 6:18 am

The brainteaser thread seems to be dead now.:(


At the mean time here is a nice chess problem for your brains/CPUs to work with:) :


The chess problemist wrote:On an 8x8 chess board, place 1 king, 5 queens and 5 knights with no piece attacking or being attacked by any other piece.


The answer is unique (barring reflections/rotations).:!:


Perhaps studying the Eight Queens puzzle might help some of you out.:idea:
udosuk
 
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Postby Bigtone53 » Sat Jun 21, 2008 10:12 am

How about this, with Bs being blank squares?

NBBNNBBB
NBBNBBBB
BBBBBBBQ
BBBKBBBB
BQBBBBBB
BBBBBBQB
BBQBBBBB
BBBBBQBB

Bigtone53
 
Posts: 413
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Postby udosuk » Sat Jun 21, 2008 7:10 pm

Wow that was quick. Very well done!:)

As a matter of fact, there are only 2 essentially different ways to place 5 queens and 5 knights on an 8x8 chessboard. In one way you can place an extra king (as above) and in another way you can't. Could anyone find that "another way"?:?:
udosuk
 
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Postby Bigtone53 » Sat Jun 21, 2008 7:34 pm

Like this?


BBBBBNNB
QBBBBBBB
BBQBBBBB
BBBBBBNN
BBBBBBNB
BBBQBBBB
BQBBBBBB
BBBBQBBB
Bigtone53
 
Posts: 413
Joined: 19 September 2005

Postby udosuk » Sun Jun 22, 2008 3:17 pm

Great job Bigtone53!:)

Have you encountered the problem before?
udosuk
 
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Postby Bigtone53 » Sun Jun 22, 2008 4:52 pm

udosuk wrote:Have you encountered the problem before?


No, but things like it. I guess that it helps.:)
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