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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. 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 children. You may need to modify the TreeNode class discussed ir. class and add funetions to insert nodes. d. We discussed a methodology to delete a node which has 2 children from BST and in ormally argued avcut 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 rearranged 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]

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. 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 children. You may need to modify the TreeNode class discussed ir. class and add funetions to insert nodes. d. We discussed a methodology to delete a node which has 2 children from BST and in ormally argued avcut 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 rearranged 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]

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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. 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 tree as input and return the total number of nodes in: 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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