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| (module decomposition-d-un-entier
(main main)
)
(define (n-est-egale-a-m? m) (lambda (n) (= n m)))
(define est-1? (n-est-egale-a-m? 1))
(define est-0? (n-est-egale-a-m? 0))
(define (1- n) (- n 1))
(define (creer-liste-de-1-a m)
(define (creer-liste-de-1-a-it n l)
(if (est-1? n)
(cons 1 l)
(creer-liste-de-1-a-it (1- n) (cons n l))
)
)
(creer-liste-de-1-a-it m '())
)
(define (union-des-listes-de l)
(apply append l)
)
(define (decomposition_n_m n m)
(if (est-0? n)
'()
(let* ((liste-1-min-n-m (creer-liste-de-1-a (min n m)))
(creer-decomposition-partiel
(lambda (x) (let ((decomposition_n-x_x (decomposition_n_m (- n x) x))
)
(if (null? decomposition_n-x_x)
`((,x))
(map (lambda (l) (cons x l)) decomposition_n-x_x)
)
)
)
)
)
(union-des-listes-de (map creer-decomposition-partiel liste-1-min-n-m))
)
)
)
(define (decomposition n)
(decomposition_n_m n n)
)
(define (main argv)
(decomposition (string->number (cadr argv)))
) |