Question: a.Insert the numbers into an initially empty AVL tree. Give the diagram of the tree that results. 2 1 4 5 9 b. Draw the

a.Insert the numbers into an initially empty AVL tree. Give the diagram of the tree that results.

2 1 4 5 9

b. Draw the tree that results from adding 3 to the tree in part a.

c. Draw the tree that results from adding 6 to the tree in part b.

d. Draw the tree that results from adding 7 to the tree in part c.

e. Draw the tree that results from *removing 4 from the tree in part d.

f. Draw the tree that results from *removing 7 from the tree in part e.

g. Draw the tree that results from *removing 9 from the tree in part f.

h. Draw the tree that results from *removing 6 from the tree in part g.

* When doing removes, always replace the deleted node with the highest value on in the left subtree.

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