Question $1$ : Perform inserts into the AVL tree, rebalancing if necessary, for the following keys in this order: $6,5,7,8.$ Show the tree after each insert $($each insert ends after rebalancing if applicable$).$ You must provide $4$ drawings.

Question $1(4$ points$)$tant donn$$ l'arbre AVL suivant

Question $2$

Remove node $7$ from the following AVL tree. Show the tree after each rebalancing step.

Question $2(4$ points$)$

Supprimez le n$$ud $7$ de l'arbre AVL suivant. Montrez l'arbre apr$$s chaque $$tape de r$$quilibrage$.$