Functional Requirements: A looping, menu-driven program that allows the user to create a binary tree and to display data about the tree.

Programming Requirements:

Using the IntBinaryTree class from Chapter 21 as the starting point, add the following member functions:

Leaf Counter (which counts and returns the number of leaf nodes in the tree)

Tree Height (which counts and returns the height of the tree - the height is the number of levels it contains.

Tree Width (which counts and returns the width of the tree - the width is the largest number of nodes in the same level.)

Write a menu-driven program that will allow the user to:

1. Insert numbers

2. Display the tree (in order)

3. Display Leaf Count

4. Display Tree Height

5. Display Tree Width

6. Exit

Your program should contain high-level validation for numeric input (use a while loop and allow use to re-enter the data).

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Test your program as follows:

Insert the following numbers (one at a time through menu option 1): 10, 87, 9, 55, 13, 40, 22,1,0,77, 0, 4, 55, 33, 22

Display the tree

Display the leaf count

Display the tree height

Display the tree width

Can you please post executions