Find the kth smallest element. You can find the kth smallest element in a BST in O(n) time from an in-order iterator. For an AVL tree, you can find it in O(log n) time. To achieve this, add a new data field named size in AVLTreeNode to store the number of nodes in the subtree rooted at this node. Note the size of a node v is one more than the sum of the sizes of its two children. In the AVLTree class, add the following method to return the kth smallest element in the tree: public E find(int k) For the logic please refer to chapter 26 Programming Exercise 26.5.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Find the kth smallest element. You can find the kth smallest element in a BST in O(n) time from an in-order iterator. For an AVL tree, you can find it in O(log n) time. To achieve this, add a new data field named size in AVLTreeNode to store the number of nodes in the subtree rooted at this node. Note the size of a node v is one more than the sum of the sizes of its two children. In the AVLTree class, add the following method to return the kth smallest element in the tree: public E find(int k) For the logic please refer to chapter 26 Programming Exercise 26.5.
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