Imagine a chess piece (we'll call it the "majarajah") that combines the powers of the queen and the knight. The task is to place ten majarajahs on a 10x10 chessboard so that none of them are attacking each other.
To illustrate the problem, here are two positions that don't quite fulfill the requirements. In the first position, the majarajah on the left edge attacks another majarajah by a knight move. In the second position, the majarajah on the left edge attacks another majarajah along a diagonal.
_ _ _ X _ _ _ _ _ _
_ _ _ _ _ _ X _ _ _
_ _ _ _ _ _ _ _ _ X
_ X _ _ _ _ _ _ _ _
_ _ _ _ X _ _ _ _ _
_ _ _ _ _ _ _ X _ _
X _ _ _ _ _ _ _ _ _
_ _ X _ _ _ _ _ _ _
_ _ _ _ _ X _ _ _ _
_ _ _ _ _ _ _ _ X _
_ _ _ _ X _ _ _ _ _
_ _ _ _ _ _ _ _ X _
_ X _ _ _ _ _ _ _ _
_ _ _ _ _ X _ _ _ _
_ _ _ _ _ _ _ _ _ X
_ _ X _ _ _ _ _ _ _
_ _ _ _ _ _ X _ _ _
X _ _ _ _ _ _ _ _ _
_ _ _ X _ _ _ _ _ _
_ _ _ _ _ _ _ X _ _
2007-01-31
11:26:11
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2 answers
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asked by
Anonymous
in
Science & Mathematics
➔ Mathematics
Not quite, Lizzy... two pairs of majarajahs attack each other along diagonals.
I've had a couple of folks express interest about this puzzle, so I've extended the deadline. Yeh, it's tough - not counting reflections and rotations, there is only one solution!)
2007-02-02
13:08:31 ·
update #1