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True or false? (a) An insertion in an AVL tree with n nodes requires Θ (log(n)) rotations. (b) A set of numbers are inserted into an empty BST in sorted order and inserted into an empty AVL tree in random order. Listing all elements in sorted order from the BST is O (n), while listing them in sorted order from the AVL tree is O (log(n)). (c) If items are inserted into an empty BST in sorted order, then the BSTs get() is just as asymptotically efficient as an AVL tree whose elements were inserted in unsorted order (d) An AVL tree will always do a maximum of two rotations in an insert.Question 3 Answer the following questions for the corresponding tree (on the right): 9 23 A. Is this a BST? (Y/N): B. Highlight the AVL unbalanced node: C. Is this a ‘line, or kink case? D. To make this AVL balanced, how many rotations 10 20 71 75 do you need? (single/double) 4 15 A. This is an unbalanced AVL tree. Is the imbalanced 23 a line or a kink case? B. To make this AVL balanced, how many rotations do 20) (71 8 10 you need? (single/double) 75 C. If we remove node 6, will the resulting tree an AVL tree? 6

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Answer #1

Answer)

a) True

b) False

c) True

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