What is the maximum number of queens that can be placed on a standard 8x8 chessboard such that no one of them is capable of attacking any of the others in a single move?
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See related discussion at meta http://meta.puzzling.stackexchange.com/questions/63/are-two-person-strategy-games-on-or-off-topic – James Jenkins May 15 '14 at 12:32
2 Answers
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8.
Because:
Obviously, you can't have more than 8, since you would have a row (and column) with more than one queen on it.
According to Wolfram-Alpha, there are
12 unique solutions, plus an additional 80 solutions from rotation/reflection.
One possible solution is:
A list (and images!) of all
12 base solutions can be found both at the above Wolfram-Alpha link and Wikipedia. (Thank you Kevin for the link).
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Sorry for reviving a 5 years old question, but I can fit:
16 queens
I hope to avoid downvotes by pointing out that this troll solution satisfies all the conditions of the original question.
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Daniel Duque
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4Is there really a point to necroing a 5 year old question with a response you openly acknowledge is a troll answer that clearly doesn't address the intent of the question? Please don't. – Rubio Jun 15 '19 at 21:59
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12A troll solution is still a solution. Take it as an oportunity to see the importance of a good design in puzzle creation and an example of thinking out of the box. – Daniel Duque Jun 15 '19 at 23:48
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3Yes, pawns are not prohibited in the question, nice creative thinking! – Conifers Aug 29 '19 at 10:12
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@Rubio - given that the point of this site is entertainment, I would say this is a great answer. There are many questions (especially with the riddle tag) where the funny yet obviously wrong answers are sometimes the most fun of all, especially when they fit within the parameters of the puzzle. I'm pretty sure I have my fair share of them. Here's one. – TTT Mar 31 '21 at 04:13