
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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Question
The insertion of data into a tree can be done in various ways to ensure the height of the tree is minimum,
and that searching the tree for an item is not more than O(logbn) where b is the number of children on
a node. Assume children are sorted left to right. I want Pseudo code with explanation step by step of how the answer made

Transcribed Image Text:Write in pseudo code or code to traverse the tree and verify if it is balanced and/or binary. First
consider how you will represent the edges and nodes as data in your program and used this in your
code.
Expert Solution

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Step 1 : Introduction
Pseudo Code :
- Pseudocode, as used in computer science, is a simple explanation of how an algorithm or other system works.
- Although pseudocode frequently adopts standard programming language structure rules, it is written for human rather than machine analysis.
- Typically, it excludes information like variable definitions and language-specific code that is necessary for an algorithm to be understood by a computer.
- The use of pseudocode serves the dual purpose of being a more effective and environment-independent representation of an algorithm's fundamental concepts than standard programming language code.
Balanced Tree :
- It is a tree that only has a one-height difference between the left and right subtrees of any given node.
- It is computationally efficient to perform operations on balanced binary trees.
- The following circumstances will be met by a balanced binary tree:
- At any node, the difference between the heights of the left and right subtrees is smaller than 1.
- Each node has a balanced binary tree as its left subtree.
- The right subtree of each node is a balanced binary tree.
Binary Tree :
- A binary tree is a non-linear data structure in the form of a tree that can have up to two children for each parent.
- In addition to the data element, each node in a binary tree also carries left and right references.
- The root node of a tree is the node at the top of its hierarchy.
Basic Operation that can be performed on Binary Tree:
Removal of an element.
Insertion of an element
Traversing to an element
Search for an element
Step by stepSolved in 2 steps

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Similar questions
- For the following questions, perform the operations in sequence. So, for example, part (b) should use part (a) as input. Follow the conventions regarding deletion and duplicate insertion used in class. Make a binary search tree by inserting the numbers 25, 14, 3, 2, 23, 75, 62, 52, 82, 79, 15, 100, 1, 18, 24, 8, 65, 5, 12, and 80 one at a time. You only need to show the final result, not each step. (a) Insert 55 into the tree. DInsert 14 into the tree.arrow_forwardScenario 3: Computing a Tree The algorithm for building phylogenetic trees is O(n^4). Suppose you need to build a tree of 1,000 items. On your computer, it takes 1 minute to build a tree of 200 items. How long will it take to build a tree of the complete data set?arrow_forwardQuestion 5 Full explain this question and text typing work only thanksarrow_forward
- In the worst-case situation, binary tree sort using a self-balancing binary search tree requires O(n log n) time, which is slower than merge sort.arrow_forwardPlease answer the question in the screenshot. Please give reasoning.arrow_forwardGiven an m-by-n chocolate bar, you need to break it into mn 1-by-1 pieces. You can break a bar only in a straight line, and only one bar can be broken at a time. Design an algorithm that solves the problem with the minimum number of bar breaks. What is this minimum number? Breaking the chocolate bar can be represented by a binary tree.arrow_forward
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