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A chess problem, how many pieces of each piece (maximum) could you place in a board where a piece could not attack a piece? What are the best placements for each piece? Each set is a rook, queen, king, bishop, pawn and knight. How many sets could you place in the board? How many extra pieces could you add? Also evaluate for the color distinction. Also evaluate for extended board size n x m or n x n. Also evaluate for combinations in a set.