R$-11\mathrm{.}8$ Draw the AVL tree resulting from the insertion of an entry with key $53$ into the AVL tree of Figure $11\mathrm{.}14$b$.$

$($a$)$

$($b$)$

Figure $11\mathrm{.}14$: Deletion of the item with key $32$ from the AVL tree of Figure $11\mathrm{.}12$b:

$($a$)$ after removing the node storing key $32,$ the root becomes unbalanced; $($b$)$ a

$($single$)$ rotation restores the height$-$balance property.