A friend told me about a chess game he had seen. At certain moment, the only pieces on board were a Queen at h8, a Rook at g6, and the Kings at h6 and g8. He didn't remember what color was each piece, but it can be worked out... how?

      +---+---+---+---+---+---+---+---+
      |   |   |   |   |   |   | K | Q | 8
      +---+---+---+---+---+---+---+---+
      |   |   |   |   |   |   |   |   | 7
      +---+---+---+---+---+---+---+---+
      |   |   |   |   |   |   | R | K | 6
      +---+---+---+---+---+---+---+---+
      |   |   |   |   |   |   |   |   | 5
      +---+---+---+---+---+---+---+---+
      |   |   |   |   |   |   |   |   | 4
      +---+---+---+---+---+---+---+---+
      |   |   |   |   |   |   |   |   | 3
      +---+---+---+---+---+---+---+---+
      |   |   |   |   |   |   |   |   | 2
      +---+---+---+---+---+---+---+---+
      |   |   |   |   |   |   |   |   | 1
      +---+---+---+---+---+---+---+---+
        a   b   c   d   e   f   g   h

If the Rook had been at g7, what would have been the colors?

The rook, queen, and king at h6 must all be white, with the black king at h8.  The last move was for white to attack diagonally from g7 to h8, killing a black knight or bishop. 

Posted by stan on 2004-08-04 12:10:49