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Actually, this is better (and no less clear):

  import Data.List
  queens n = q [] [0..n-1] where
   q s [] = [[]]
   q s as = concatMap (\a -> q (a:s) (delete a as)) (filter (f 1 s) as)
   f _ [] a = True
   f n (b:s) a = a /= b+n && a /= b-n && f (n+1) s a
  main = print $ length (queens 8)
Undoubtedly functional, the question is whether it is improved eg. by using folds instead of explicit recursion, or replacing concatMap with monadic join.



That should be "q s [] = [s]", otherwise you get 92 copies of the empty list.




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