To supplement Per Alexandersson's and Aaron Golden's data,
here are two distributions for $4$ rooks on a $4 \times 4$
board (mean: 21.5 moves), and $8$ rooks on an $8 \times 8$ board (mean: 73.6 moves):
10,000 trials each. Now updated to count only moves that actually move a rook!
Here is a $4 \times 4$ example that took $19$ moves.
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4 | added 181 characters in body | ||
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3 | added 63 characters in body | ||
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To supplement Per Alexandersson's and Aaron Golden's data,
here are two distributions for $4$ rooks on a $4 \times 4$
board (mean: 31 21.5 moves), and $8$ rooks on an $8 \times 8$ board (mean: 95 73.6 moves):
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Post Undeleted by Joseph O'Rourke
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2 | added 18 characters in body | ||
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Post Deleted by Joseph O'Rourke
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