A Queen, 4 Kings, and 2 Rooks

Arrange 1 Queen, 4 Kings and 2 Rooks on a standard 8x8 chessboard, so that every square (occupied or not) is under attack by at least 1 chess-piece.

You have the following additional information about the pieces: The Queen is an all-attacking piece, i.e. it can attack any other piece (King or Rook) from its position. On the other hand, no King can attack any other chess-piece. Rooks are friendly and won't attack each other.

Toby Gottfried created this applet to help solve the puzzle: http://www.gottfriedville.net/puzzles/grid/chess.htm

Source: Sudipta Das.


Solutions were received from Hidefumi Takahashi, Alan O'Donnell, Toby Gottfried, Nick McGrath, Glenton Jelbert, David Bachtel, Dave Peck, Susan Hoover, Saw L.B., Oliver Lenhart, Jozef Hanenberg, Kirk Bresniker, Frank J. LaVolpa, Philip Fondanaiche, Ben Golub, Paul Botham, Alessandro Fogliati, Matthew Wright, and Minh Tam Nguyen.

The added time and Toby Gottfried's applet led to many more solution submissions for this puzzle. With that quantity, I must conclude there is only one solution (other than its four rotations):

Q:d5,   R:a5,e1,   K:c3,c7,g3,g7

- - - - - - - -
- - K - - - K -
- - - - - - - -
R - - - Q - - -
- - - - - - - -
- - K - - - K -
- - - - - - - -
- - - - R - - -
A few solvers found solutions where none of the pieces were attacked. One such is:
R _ _ _ _ _ _ _ 
_ _ _ _ R _ _ _ 
_ Q _ _ _ _ _ _
_ _ _ K _ _ K _
_ _ _ _ _ _ _ _
_ _ _ _ _ _ _ _
_ _ _ K _ _ K _
_ _ _ _ _ _ _ _

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