Consider the following idea for a new sorting algorithm (which we will call AVL-Sort). Given an unsorted sequence of integers. • Insert the elements of the sequence one at a time into an initially empty AVL tree. • Traverse the tree in-order and copy the keys in the output sequence. 1. Derive the worst case complexity of AVL-Sort. 2. What is the space complexity of AVL-Sort ? Explain. 3. Use AVL-Sort to sort the following sequence S (5, 2, 1, 9, 3, 4, 6, 8, 10, 11). Please, show all the steps of your execution.

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