a) A rooted tree, T, is shown in Figure 3 below.°f ghmFigure 3: Rooted tree Ti.Which vertex is the root?i.State the height of the tree.iii.List all the level-2 vertices of the tree, Tiv.List all the internal vertices of the tree, TV.Which vertices ancestor of vertex m?b)A directory in computer memory contains both files and 5 subdirectories.i.How many directories can be stored in that memory with the aim of having 17 emptyfiles.ii.Determine the number of files with 5 subdirectories.ii. Draw the rooted tree based on answer in 3-b(i).iv.From answer in 3-b(iii), identify and circle the proper ancestor of any final vertex.Justify your answer.

Solution:- As per policy, one question can be answered once

a) A rooted tree, T, is shown in Figure 3 below. f 8 h ok n m Figure 3: Rooted tree T i. Which vertex is the root? i. State the height of the tree. iii. List all the level-2 vertices of the tree, T List all the internal vertices of the tree, T iv. v. Which vertices ancestor of vertex m? N

a) A rooted tree, T, is shown in Figure 3 below. f 8 h ok n m Figure 3: Rooted tree T i. Which vertex is the root? i. State the height of the tree. iii. List all the level-2 vertices of the tree, T List all the internal vertices of the tree, T iv. v. Which vertices ancestor of vertex m? N

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter17: Linked Lists

Section: Chapter Questions

Problem 1TF

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Concept explainers

Heuristic System

The term heuristic is derived from the Greek word heurisko, which means “I find, discover”. Heuristics can be mental shortcuts or approaches designed from previous experiences. The main aim of the heuristic approach is to find a good enough solution to solve the problem. Test and mistake, rule of thumb, or an educated estimate are all examples of heuristics. These methods are sufficient for achieving an immediate, brief aim. When a heuristic is used in practice, it works as predicted. It can, however, produce systematic errors. Trial and error is an important heuristic that may be used in a variety of situations, from cross-linking nuts and bolts to determining the values of given input variables in mathematical puzzles. Additional hypotheses, visual illustrations, simplification, and forward or backward reasoning are all common heuristics in mathematics.

Question

a) A rooted tree, T, is shown in Figure 3 below.
°f gh
m
Figure 3: Rooted tree T
i.
Which vertex is the root?
i.
State the height of the tree.
iii.
List all the level-2 vertices of the tree, T
iv.
List all the internal vertices of the tree, T
V.
Which vertices ancestor of vertex m?
b)
A directory in computer memory contains both files and 5 subdirectories.
i.
How many directories can be stored in that memory with the aim of having 17 empty
files.
ii.
Determine the number of files with 5 subdirectories.
ii. Draw the rooted tree based on answer in 3-b(i).
iv.
From answer in 3-b(iii), identify and circle the proper ancestor of any final vertex.
Justify your answer.

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