How many queens can fit on a board without attacking one another?
Get your chessboard out, prepare to look at it for a long time, and let us present you with a 150-year-old challenge: Could you arrange eight queens on a chessboard in such a way that none of them are attacking each other? Let's say this is conceivable, how many ways are there to do it?chess
magazine published the first 8-by-8 chessboard problem, and by 1869, the n-queens dilemma has emerged.
configurations for big chessboards with a large number of queens. This means that, on a million-by-million board, there are approximately 1 million ways to arrange 1 million non-threatening queens, followed by around 5 million zeros! But how did he manage to find that? By keeping track of the number of spaces that were not under attack after the position of each additional new queen's position was revealed, Simkin was able to calculate a maximum number of configurations. Therefore, he concluded that he had nearly discovered the exact number of n-queens configurations because this maximum figure matched his minimum one almost completely, his proof providing the 150-year-old challenge a long-awaited clarity.
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