Années bissextiles

Les années bissextiles comportent 366 jours. Contrairement à ce que l'on pense couramment, elles ne se rencontrent pas exactement tous les 4 ans !

En effet :

• une année non divisible par 4 n'est pas bissextile,
• parmi les années divisibles par 4 :
  • les années qui ne sont pas divisibles par 100 sont bissextiles,
  • parmi les années divisibles par 100 :
    • les années qui ne sont pas divisibles par 400 ne sont pas bissextiles,
    • les autres sont bissextiles.

graph LR
    A([annee est div. par 4 ?]) -->|Non| B[Non bissextile]
    A --->|Oui| C([annee NON div. par 100 ?])
    C -->|Oui| D[Bissextile]
    C ---> |Non| E([annee est div. par 400 ?])
    E --> |Non| F[Non bissextile]
    E --> |Oui| G[Bissextile]

Par exemple :

• 2022 n'est pas divisible par 4 : elle n'est pas bissextile ;
• 2020 est divisible par 4, mais pas par 100 : elle est bissextile ;
• 2100 est divisible par 4, par 100, mais pas par 400 : elle n'est pas bissextile ;
• 2400 est divisible par 4, par 100 et par 400 : elle est bissextile.

Aide - Tester la divisibilité avec Python

Avec Python, il est possible de tester la divisibilité de a par b en utilisant l'opérateur "modulo" % qui renvoie le reste de la division euclidienne de a par b.

Si ce reste vaut 0 alors a est divisible par b. Dans le cas contraire, a n'est pas divisible par b.

🐍 Console Python

>>> # 15 est-il divisible par 3 ? -> Oui
>>> 15 % 3 == 0
True
>>> # 500 est-il divisible par 7 ? -> Non
>>> 500 % 7 == 0
False
>>> # 500 est-il NON divisible par 7 ? -> Oui
>>> 500 % 7 != 0
True

Compléter la fonction est_bissextile ci-dessous renvoyant True si l'année passée en argument est bissextile, False dans le cas contraire.

Exemples

>>> est_bissextile(2022)
False
>>> est_bissextile(2020)
True
>>> est_bissextile(2100)
False
>>> est_bissextile(2400)
True

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