The New Sudoku Players' Forum

by **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:

by **Bigtone53** » Sat Jun 21, 2008 10:12 am

How about this, with Bs being blank squares?

NBBNNBBB
NBBNBBBB
BBBBBBBQ
BBBKBBBB
BQBBBBBB
BBBBBBQB
BBQBBBBB
BBBBBQBB

by **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"? :?:

by **Bigtone53** » Sat Jun 21, 2008 7:34 pm

Like this?

BBBBBNNB
QBBBBBBB
BBQBBBBB
BBBBBBNN
BBBBBBNB
BBBQBBBB
BQBBBBBB
BBBBQBBB

by **udosuk** » Sun Jun 22, 2008 3:17 pm

Great job Bigtone53!

Have you encountered the problem before?

by **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.

The New Sudoku Players' Forum

A nice chess problem

A nice chess problem