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?
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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 – DrCapablasker Aug 9 '20 at 10:37
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1"There obviously exists a mating sequence." Except for stalemates. – TheSimpliFire Aug 9 '20 at 12:41
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1@TheSimpliFire The solution to that is not to stalemate. – Studoku Aug 10 '20 at 1:58
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2@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. – Andreas Blass Aug 11 '20 at 3:54
