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a) Given an AVL tree of height 4. How many leaves can the tree have at most? Please justify your answer. b) Given an AVL

a) Given an AVL tree of height 4. How many leaves can the tree have at most? Please justify your answer.

b) Given an AVL tree of height 4. How many leaves must the tree have at least? Please justify your answer.

c) Given an AVL tree of height n. How many leaves must the tree have at least? Please derive your answer. A formal proof is not necessary. Note: Derive the formula to calculate the number of sheets recursively.

d) For the worst-case consideration of the number of comparisons in the AVL tree with a fixed number of nodes n is a tree with a minimum or maximum number of sheets of interest? Justify your answer.

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