Mathématiques

Question

Bonjour pouvez vous m'aider svp ?
Le code d'un coffre-fort est une nombre à 6 chiffres qui utilise chacun des chiffres de 1 à 6 exactement une fois. On sait que le code est pair et que parmi deux chiffres consécutifs l'un est toujours multiple de l'autre.
Quel est ce code ?
Merci d'avance

1 Réponse

  • Bonjour,

    513624
    car DIM a AS INTEGER, b AS INTEGER, c AS INTEGER, d AS INTEGER, e AS INTEGER, f AS INTEGER
    FOR a = 1 TO 6
        FOR b = 1 TO 6
            IF b <> a THEN
                IF a MOD b = 0 OR b MOD a = 0 THEN
                    FOR c = 1 TO 6
                        IF c <> b AND c <> a THEN
                            IF b MOD c = 0 OR c MOD b = 0 THEN
                                FOR d = 1 TO 6
                                    IF d <> c AND d <> b AND d <> a THEN
                                        IF c MOD d = 0 OR d MOD c = 0 THEN
                                            FOR e = 1 TO 6
                                                IF e <> d AND e <> c AND e <> b AND e <> a THEN
                                                    IF d MOD e = 0 OR e MOD d = 0 THEN
                                                        FOR f = 2 TO 6 STEP 2
                                                            IF f <> e AND f <> d AND f <> c AND f <> b AND f <> a THEN
                                                                IF e MOD f = 0 OR f MOD e = 0 THEN
                                                                    PRINT a; b; c; d; e; f
                                                                END IF
                                                            END IF

                                                        NEXT f
                                                    END IF
                                                END IF
                                            NEXT e
                                        END IF
                                    END IF
                                NEXT d
                            END IF
                        END IF
                    NEXT c
                END IF
            END IF
        NEXT b
    NEXT a
    END



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