Task: Given a BST, write an algorithm to find and output the diameter of the tree. 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

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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NOTE: The algorithm must me O(n)

Task:
Given a BST, write an algorithm to find and output the diameter of the tree.
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
Transcribed Image Text:Task: Given a BST, write an algorithm to find and output the diameter of the tree. 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)
Node(3)
root.left.left = Node(4)
Node (5)
root.right
root.left.right
Constructed binary tree is
1
2
3
4 5
Transcribed Image Text:Output: Diameter of the given binary tree is 4 The output above is derived from the following: root = Node(1) root.left = Node(2) Node(3) root.left.left = Node(4) Node (5) root.right root.left.right Constructed binary tree is 1 2 3 4 5
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