Exercices sur le tri et la recherche dichotomique

Sur le tri par insertion⚓︎

Dans le cadre de l’algorithme de tri par insertion, on construit progressivement une liste triée en insérant un à un les éléments dans leur position correcte.

La fonction insere ci-dessous illustre ce principe. Elle prend en paramètre une liste Python tab contenant des entiers déjà triés par ordre croissant, ainsi qu’un entier a.

Elle retourne une nouvelle liste, construite à partir de tab, dans laquelle l’entier a a été inséré à la bonne position pour que l’ensemble reste trié par ordre croissant.

Ce type de fonction est utilisé à chaque étape du tri par insertion, lorsqu’on ajoute un nouvel élément à une portion déjà triée de la liste.

Code à compléter de la fonction insère

Évaluations restantes : 5/5

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Sur la recherche dichotomique⚓︎

Soit tab une liste non vide d’entiers triés dans l’ordre croissant et n un entier.

La fonction chercher ci-dessous doit renvoyer un indice où la valeur n apparaît dans tab si cette valeur y figure et None sinon.

Remaqrue : si n apparaît plusieurs fois consécutivement dans tab, un seul des indices sera retourné.

Cette fonction applique un algorithme de recherche dichotomique.

Évaluations restantes : 5/5

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