Task: Given a BST, write an algorithm to find and output the diameter of the tree. Note: your algorithm must have a time complexity of 0 9 . If not implemented, 30 points will be deducted from your final score. Context: The diameter of a tree is defined as "A longest path or route between any two nodes in a tree. The path may or may not for through the root." Example: 7) Diameter Of Tree Path that Doesn't go through Path goes through root. root Output: Diameter of the given binary tree is 4

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
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PYTHON: BINARY TREE

Task:
Given a BST, write an algorithm to find and output the diameter of the tree.
Note: your algorithm must have a time complexity of 0 9. If not implemented, 30 points will be deducted from your final score.
Context:
The diameter of a tree is defined as
"A longest path or route between any two nodes in a tree. The path may or may not for through the root."
Example:
Diameter Of Tree
Path that Doesn't go through
Path goes through root.
root
Output:
Diameter of the given binary tree is 4
Transcribed Image Text:Task: Given a BST, write an algorithm to find and output the diameter of the tree. Note: your algorithm must have a time complexity of 0 9. If not implemented, 30 points will be deducted from your final score. Context: The diameter of a tree is defined as "A longest path or route between any two nodes in a tree. The path may or may not for through the root." Example: Diameter Of Tree Path that Doesn't go through Path goes through root. root Output: Diameter of the given binary tree is 4
The output above is derived from the following:
root = Node(1)
root.left = Node(2)
root.right = Node(3)
root.left.left = Node(4)
root.left.right = Node(5)
Constructed binary tree is
2
3
4
Transcribed Image Text:The output above is derived from the following: root = Node(1) root.left = Node(2) root.right = Node(3) root.left.left = Node(4) root.left.right = Node(5) Constructed binary tree is 2 3 4
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