Q$3(20$ points$)($Re$-$balancing AVL Tree$)$:

Consider the following AVL tree. Explain and show in detail how you would delete node $50$ from the tree. Indicate the deletion case $($by name or number $-$ case $1$ or $2$ or $3).$ If rebalancing the tree is required, show in detail how you re$-$balance the tree indicating the rebalancing case $($template$)$ being applied $($by name or number $-$ case $1.a,$ or case $1\mathrm{.}6$ for single rotation OR case $2.$a or case $2\mathrm{.}6$ for double rotation$).$ Drawing the final tree without showing the deletion and re$-$balancing details receives no points.