# Forced mate: 2 queens vs king

On the board, there are 2 queens (of the same color) placed on random squares. The opposing side has only a king, placed on a random square (and not in check). There obviously exists a mating sequence. What is the biggest possible 'n' such that there is a forced Mate in 'n'? In other words, given the above situation, what is the upper bound on the minimum number of moves required to give a checkmate?

• I don't have an answer to your question but I have a comment that may be relevant to your research. This link has mate in 2 puzzles with two queens vs a lone king: apronus.com/chess/puzzles/mate-in-2/?KQQvK Commented Aug 9, 2020 at 10:37
• "There obviously exists a mating sequence." Except for stalemates. Commented Aug 9, 2020 at 12:41
• @TheSimpliFire The solution to that is not to stalemate. Commented Aug 10, 2020 at 1:58
• @You'rebadandshouldfeelbad I think the stalemate comment was intended to point out the possibility that the "random" starting position in the question might be stalemate. Commented Aug 11, 2020 at 3:54

``````[FEN "8/8/8/3k4/8/5K2/8/4Q2Q w - - 0 1"]