Consider an AVL tree with 9 nodes containing positive integer values in of your own from the interval 1 .. 99.
a) Show the chosen tree.
b) Insert a new value in the tree. Show the tree after inserting the new value.
c) Discuss whether a rebalance operation is required or not. If yes, identify the node where the imbalance occurs, the type of imbalance and the required operation to rebalance the tree.
Note. To show the trees you can draw them using MS Word, PPT or pen, paper and scanner. Attach the document showing the required trees to your contribution.