Change the tree shown in the figure below to an AVL tree. Assume that the tree in the figure below is a BST tree. Please include the final answer and also show the steps needed to get to the final answer.

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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(c++) Change the tree shown in the figure below to an AVL tree. Assume that the tree in the figure below is a BST tree. Please include the final answer and also show the steps needed to get to the final answer. 

 

### Binary Tree Structure Diagram

The above image illustrates a binary tree. Binary trees are a type of data structure made up of nodes, where each node has at most two children, referred to as the left child and the right child.

#### Diagram Details:
- **Root Node:** The topmost node is labeled **35**.
- **Left Child of Root:** The node with value **15** is the left child of the root node (35).
- **Right Child of Root:** The node with value **37** is the right child of the root node (35).

Further expanding the tree:
- **Left Child of Node 15:** The node with value **12** is the left child of node 15.
- **Right Child of Node 15:** The node with value **30** is the right child of node 15.

Continuing:
- **Left Child of Node 12:** The node with value **8** is the left child of node 12.
- **Node 12 and Node 30** do not have any right or left children.
- **Node 37** also does not have any children.

This binary tree is helpful to visualize hierarchical relationships and is commonly used in various computer science applications, including representing sorted data, optimizing searches, and managing hierarchical data structures.
Transcribed Image Text:### Binary Tree Structure Diagram The above image illustrates a binary tree. Binary trees are a type of data structure made up of nodes, where each node has at most two children, referred to as the left child and the right child. #### Diagram Details: - **Root Node:** The topmost node is labeled **35**. - **Left Child of Root:** The node with value **15** is the left child of the root node (35). - **Right Child of Root:** The node with value **37** is the right child of the root node (35). Further expanding the tree: - **Left Child of Node 15:** The node with value **12** is the left child of node 15. - **Right Child of Node 15:** The node with value **30** is the right child of node 15. Continuing: - **Left Child of Node 12:** The node with value **8** is the left child of node 12. - **Node 12 and Node 30** do not have any right or left children. - **Node 37** also does not have any children. This binary tree is helpful to visualize hierarchical relationships and is commonly used in various computer science applications, including representing sorted data, optimizing searches, and managing hierarchical data structures.
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