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a. Write a function which will take a binary tree as input and return the total number of nodes in: the tree. Your code must count the nodes by traversing the tree.

a. Write a function which will take a binary tree as input and return the total number of nodes in: the tree. Your code must count the nodes by traversing the tree.

Database System Concepts
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
Section: Chapter Questions
Problem 1PE
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A using python
Write a function which will take a binary trce as input and return the total number of nodes n. the tree. Your code must count the nodes by traversing the tree. a. b. Wite a function which will take a binary tree as input and return the number of total number ef leaves in the tree. Your code must count the leaves by traversing the tree. c. Write code fer building (insertion) a ternary tree. A node (Ternary tree class) in a ternary tree may have at most 3 ehildren. You may need to modify the TreeNode class discussed ir. class and adl functions to insert nodes. d. We discussed a methodology to delete a node which has 2 children from BST and in ormally argued avout the correctness of this methodology, An alternative methodology is shown below. The node X has two children, and we wish to delete X. The tree is rearanged as shown in the right after deleting X. Show that the alternative technique also preserves BST property. Write code to implement the alternative technique. [20]
Transcribed Image Text:Write a function which will take a binary trce as input and return the total number of nodes n. the tree. Your code must count the nodes by traversing the tree. a. b. Wite a function which will take a binary tree as input and return the number of total number ef leaves in the tree. Your code must count the leaves by traversing the tree. c. Write code fer building (insertion) a ternary tree. A node (Ternary tree class) in a ternary tree may have at most 3 ehildren. You may need to modify the TreeNode class discussed ir. class and adl functions to insert nodes. d. We discussed a methodology to delete a node which has 2 children from BST and in ormally argued avout the correctness of this methodology, An alternative methodology is shown below. The node X has two children, and we wish to delete X. The tree is rearanged as shown in the right after deleting X. Show that the alternative technique also preserves BST property. Write code to implement the alternative technique. [20]
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