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N Queens
Jacques Nomssi edited this page Nov 10, 2020
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2 revisions
;;; NQUEENS -- Compute number of solutions to 8-queens problem.
;; http://wiki.call-cc.org/chicken-compilation-process
(define (nqueens n)
(define (dec-to n)
(let loop ((i n) (l '()))
(if (= i 0) l (loop (- i 1) (cons i l)))))
(define (try x y z)
(if (null? x)
(if (null? y)
1
0)
(+ (if (ok? (car x) 1 z)
(try (append (cdr x) y) '() (cons (car x) z))
0)
(try (cdr x) (cons (car x) y) z))))
(define (ok? row dist placed)
(if (null? placed)
#t
(and (not (= (car placed) (+ row dist)))
(not (= (car placed) (- row dist)))
(ok? row (+ dist 1) (cdr placed)))))
(try (dec-to n) '() '()))
(nqueens 8)