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Insert the following sequence of elements into an AVL tree, starting with an empty tree (show each step) : 12, 24, 14, 27, 35, 17,

Insert the following sequence of elements into an AVL tree, starting with an empty tree (show each step) : 12, 24, 14, 27, 35, 17, 19, 22. (10 points)
Delete 27 in the AVL tree that you got(show each step). (10 p)
What maximum difference in heights between the leafs of a AVL tree is possible? (5 p)

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