For this assignment, write a class named AVLTree that extends class Tree that you wrote for HW-06. Class AVLTree will implement the algorithms for an AVLTree discussed in Unit XI. Use the following UML diagram and attribute descriptions.AVLTree Attributes:height – returns the height of a tree. Accepts the root pointer for the tree to find the height of.rotateRight – implements the logic for a right rotation. Accepts the pointer for the node to be rotated, by reference.rotateLeft – implements the logic for a left rotation. Accepts the pointer for the node to be rotated , by reference.rotateRightLeft – implements the logic for a right-left rotation. Accepts the pointer for the node to be rotated , by reference.rotateLeftRight – implements the logic for a left-right rotation. Accepts the pointer for the node to be rotated , by reference.difference – returns balance factor for a node. Accepts the pointer for the node as it’s argument.balance – brings the AVLTree back into balance, if necessary. Accepts the pointer for a node that needs to be adjusted.Notes:The add and remove methods in class AVLTree override the base class versions, calling balance as required.Be sure to include preprocessor guards and to #include “Tree.h” in AVLTree.h, otherwise you won’t be able to inherit from it.You may use the Tree class I wrote as a solution to HW-06 if you want as the base class for your AVLTree class.Accessors should always be marked const.Don’t forget to balance the root node, that’s why you are overriding the public add and remove methods.By extending class Tree (inheritance), we’re saving ourselves from having to rewrite all that code from scratch, which is a core benefit of object-oriented programming. See Code Re-use (Links to an external site.)Links to an external site., and Inheritance (Links to an external site.)Links to an external site..You’ll need to make one slight modification to Tree.h. Change Node and root to protected.Submission Instructions:Place the code for class AVLTree, and only class AVLTree, in it’s own header file named AVLTree.h. Submit both Tree.h and AVLTree.h when you are done.
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