If we maintain a reference to the position of the left-most internal node of an AVL tree, then…

If we maintain a reference to the position of the left-most internal node of an AVL tree, then operation first (Section 9.5.2) can be performed in O(1) time. Describe how the implementation of the other dictionary methods needs to be modified to maintain a reference to the left-most position.

Q256;

Let D be an ordered dictionary with n entries implemented by means of an AVL tree. Show how to implement the following operation on D in time O(logn + s), where s is the size of the iterator returned: findAllInRange(k1,k2): Return an iterator of all the entries in D with key k such that k1 ≤ k ≤ k2.

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