EBK STARTING OUT WITH C++
EBK STARTING OUT WITH C++
8th Edition
ISBN: 8220100794438
Author: GADDIS
Publisher: PEARSON
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Chapter 20, Problem 4PC
Program Plan Intro

Height of the Binary Tree

Program Plan:

  • Create a template prefix and define the template class BinaryTree to perform the following functions:
    • Declare the required variables.
    • Declare the function prototypes.
    • Define the no-argument generic constructor BinaryTree() to initialize the root value as null.
    • Call the functions insertNode(), remove(), displayInOrder(), and treeHeight().
    • Define the generic function insert() to insert the node in position pointed by the tree node pointer in a tree.
    • Define the generic function insertNode() to create a new node and it should be passed inside the insert() function to insert a new node into the tree.
    • Define the generic function remove()which calls deleteNode() to delete the node.
    • Define the generic function deleteNode() which deletes the node stored in the variable num and it calls the makeDeletion() function to delete a particular node passed inside the argument.
    • Define the generic function makeDeletion()which takes the reference to a pointer to delete the node and the brances of the tree corresponding below the node are reattached.
    • Define the generic function displayInOrder()to display the values in the subtree pointed by the node pointer.
    • Define the generic function getTreeHeight() to count the height of the tree.
    • Define the generic function TreeHeight()which calls getTreeHeight() to display the height of the tree.
  • In main() function,
    • Create a tree with integer data type to hold the integer values.
    • Call the function treeHeight() to print the initial height of the tree.
    • Call the function insertNode() to insert the node in a tree.
    • Call the function displayInOrder() to display the nodes inserted in the  order.
    • Call the function remove() to remove the nodes from tree.
    • Call the function treeHeight() to print the height of the tree after deleting the nodes.

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