palindromic number

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Sujet : palindromic number
De : Nobody447095 (at) *nospam* here-nor-there.org (B. Pym)
Groupes : comp.lang.lisp comp.lang.scheme
Date : 15. Sep 2024, 01:18:36
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vc55k8$1nud1$1@dont-email.me>
User-Agent : XanaNews/1.18.1.6
"A palindromic number reads the same both ways. The largest
palindrome made from the product of two 2-digit numbers is 9009
= 91 x 99. Find the largest palindrome made from the product of
two 3-digit numbers."


Gauche Scheme

(use srfi-13)  ;; string-reverse

(define (divisor? n m) (= 0 (mod m n)))

"We don't need no stinkin' loops!"

(define (prod-of-3-dig-nums? n)
  (let1 sq (exact-integer-sqrt n)
    (any (is divisor? n) (lrange sq 999))))

(define (good? n)
  (let1 s (number->string n)
    (and (equal? s (string-reverse s))
         (prod-of-3-dig-nums? n))))

(find good? (lrange 998001 0 -1))
  ===>
906609

Given:

(define-syntax is
  (syntax-rules ()
    [(is x)
     (lambda (y) (equal? y x))]
    [(is compare x)
     (lambda (y) (compare y x))]
    [(is key compare x)
     (lambda (y) (compare (key y) x))]))

Date Sujet#  Auteur
15 Sep01:18 * palindromic number3B. Pym
15 Sep06:26 +- Re: palindromic number1B. Pym
15 Sep07:02 `- Re: palindromic number1B. Pym

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