Consider a 5 by 5 Chess Board. Is it possible to place
5 Queens on the board such that three pawns can safely
be placed on the board? (aka, by carefully choosing where
to place the 5 queens, can you arrange it so that there
are 3 squares on the board that none of the queens can
attack)
(From - http://www.princeton.edu/~sjmiller/riddles/riddles.html)
The required placement in consonance with the provisions of the puzzle under reference is as follows:
A B C D E
+---------------------------+
5 | . P . . P | 5
+----------------------------+
4 | . . . . P | 4
+----------------------------+
3 | Q . . . . | 3
+----------------------------+
2 | Q . . Q . | 2
+-----------------------------+
1 | . . Q Q . | 1
+----------------------------+
A B C D E
where:
Q refers to the placement of a queen.
P refers to the placement of a pawn.