a. Write a function which will take a binary tree as input and return the total number of nodes n. 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 n. the tree. Your code must count the nodes by traversing the tree.
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
Related questions
Question
a in python
![Write a function which will take a binary trce 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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cd5af9d-1e9c-4540-a523-e0e288733c40%2Ff78f2e2b-d719-431e-8308-151ad6ddab80%2Fom2kwkp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Write a function which will take a binary trce 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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