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Attack! (2) (Posted on 2013-05-09) Difficulty: 3 of 5
+----+----+----+----+----+----+----+----+
|    |    |    |    |    |    |    |    |
+----+----+----+----+----+----+----+----+
|    |    |    |    |    |    |    |    |
+----+----+----+----+----+----+----+----+
|    |    |    |    |    |    |    |    |
+----+----+----+----+----+----+----+----+
|    | WK |    |    |    |    |    |    |
+----+----+----+----+----+----+----+----+
|    |    |    |    |    |    |    |    |
+----+----+----+----+----+----+----+----+
|    |    |    |    |    |    |    |    |
+----+----+----+----+----+----+----+----+
|    |    |    |    |    |    |    |    |
+----+----+----+----+----+----+----+----+
|    |    |    |    |    |    |    |    |
+----+----+----+----+----+----+----+----+
Place 2 queens, 2 white bishops and 2 black bishops on this chessboard so that every square is under attack.

One white king has already been placed (as shown in the above diagram.)

No Solution Yet Submitted by K Sengupta    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: One Solution | Comment 6 of 7 |
(In reply to One Solution by Salil)

Now that is very pleasing.

It does answer for me, "should the occupied square also be under attack?"  Clearly no.

I had been thinking that Qs have 4 lines of attack and Bs just 2.  At most the Qs and Bs can cover up to 6 diagonals.

This solution however does provide another benefit!  I can give up trying to bust my brain for a computer solution, although in doing so I've learnt a few new programming tricks. 

Manny thanks KS for the problem and Salil for this solution.

  Posted by brianjn on 2013-05-13 05:05:31

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