IGNOU BCA Introduction to Algorithm Design Previous Year Unsolved Papers BCS 042 E-Book
Manish Soni
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- Herausgeber: Poorav Publications
- Kategorie: Wissenschaft und neue Technologien
- Serie: IGNOU BCA Unsolved Paper Books Series
- Sprache: Englisch
The evolution of computer science IGNOU BCA Introduction to Algorithm Design Previous Year Unsolved Papers BCS 042 has elevated algorithm design as a cornerstone of problem-solving in both academic research and industry practice. As the complexity of computational challenges continues to grow, mastering algorithmic thinking has become essential for anyone pursuing a career in technology or aiming for academic excellence. The aim of this book, Introduction to Algorithm Design: Previous Years Unsolved Papers, is to provide learners with a platform to enhance their analytical and problem-solving capabilities through a curated selection of unsolved questions from previous years' examinations.
This book emphasizes a hands-on approach, inviting readers to engage directly with intricate problems spanning core algorithmic topics such as sorting, searching, dynamic programming, graph theory, and more. By grappling with these questions, learners develop deeper insights into algorithm efficiency, optimization, and application.
We have designed this book to serve both undergraduate students seeking a deeper understanding of algorithms and professionals preparing for competitive exams or technical interviews. Each problem has been carefully selected to represent a diverse range of difficulty levels, offering a comprehensive challenge for learners at any stage.
We hope this book becomes an invaluable tool in your journey towards mastering algorithm design and encourages you to approach complex computational problems with confidence and precision.
Das E-Book können Sie in Legimi-Apps oder einer beliebigen App lesen, die das folgende Format unterstützen:
Seitenzahl: 34
Veröffentlichungsjahr: 2024
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Preface
The evolution of computer science has elevated algorithm design as a cornerstone of problem-solving in both academic research and industry practice. As the complexity of computational challenges continues to grow, mastering algorithmic thinking has become essential for anyone pursuing a career in technology or aiming for academic excellence. The aim of this book, Introduction to Algorithm Design: Previous Years Unsolved Papers, is to provide learners with a platform to enhance their analytical and problem-solving capabilities through a curated selection of unsolved questions from previous years' examinations.
This book emphasizes a hands-on approach, inviting readers to engage directly with intricate problems spanning core algorithmic topics such as sorting, searching, dynamic programming, graph theory, and more. By grappling with these questions, learners develop deeper insights into algorithm efficiency, optimization, and application.
We have designed this book to serve both undergraduate students seeking a deeper understanding of algorithms and professionals preparing for competitive exams or technical interviews. Each problem has been carefully selected to represent a diverse range of difficulty levels, offering a comprehensive challenge for learners at any stage.
We hope this book becomes an invaluable tool in your journey towards mastering algorithm design and encourages you to approach complex computational problems with confidence and precision.
Table of Contents
Chapter 1: Term-End Examination, June,2014
Chapter 2: Term-End Examination, December,2014
Chapter 3: Term-End Examination, June, 2015
Chapter 4: Term-End Examination, December, 2015
Chapter 5: Term-End Examination, June, 2016
Chapter 6: Term-End Examination, December,2016
Chapter 7: Term-End Examination, June, 2017
Chapter 8: Term-End Examination, December, 2017
Chapter 9: Term-End Examination, June, 2018
Chapter 10: Term-End Examination, December, 2018
Chapter 11: Term-End Examination, June, 2019
Chapter 12: Term-End Examination, December, 2019
Chapter 13: Term-End Examination, June, 2020
Chapter 14: Term-End Examination, December, 2020
Chapter 15: Term-End Examination, June, 2021
Chapter 16: Term-End Examination, December, 2021
Chapter 17: Term-End Examination, June, 2022
Chapter 18: Term-End Examination, December, 2022
Chapter 19: Term-End Examination, June, 2023
Chapter 20: Term-End Examination, December,2023
BCS – 042
Bachelor Of Computer Applications (BCA) (Revised)
Chapter 1: Term-End Examination, June,2014
BCS-042: Introduction to Algorithm Design
Time: 2 Hours
Maximum Marks: 50
Note: (i) Question No. 1 is compulsory.
(ii) Attempt any three Questions from the rest.
Section - A
1. (a) Given the following list of 8 integers, sort them using insertion sort. Determine the number of comparisons used by the sorting algorithm as well as the total number of assignment operations.8
25
15
7
10
8
12
6
13
Show the process of sorting.
(b) Define θ(big theta) notation. By using a basic definition, show that 5n2+9n−8= θ (n2)4
(c) Draw all the spanning trees of the following weighted connected graph.3
(d) What is a recurrence relation? What is an initial condition? Define recurrence relation and initial conditions for the following:5 (i) Fibonacci sequence (ii) Factorial function
Section - B
2. Define a fractional knapsack problem. Find the optimal solution to the following instance of a knapsack problem. Show step-by-step running of the algorithm.10
Number of objects: n=5n Capacity of knapsack: M=10
Where Pi is profit and
Wi - is weight.
Each object has a profit Pi and weight Wi. The problem is to fill a knapsack (up to its maximum capacity M) which maximizes the total profit earned.
3. Write Kruskal's algorithm and apply it to find a Minimum Spanning Tree (MST) of the following graph. Also, discuss the complexity of the algorithm.10
4. (a) Define the following terms:8(i) Mathematical Induction(ii) Dynamic programming technique(iii) Optimization problem(iv) Single source shortest path problem
(b) What is a complete graph? Draw a complete graph with four vertices.2
