Problem Solving in Data Structures & Algorithms Using C++: Programming Interview Guide

650 Pages·2005·6.8 MB·English

Problem Solving in
Data Structures &
Algorithms Using
C++
First Edition

By Hemant Jain
Problems Solving in Data Structures & Algorithms Using C++
HEMANT JAIN
Copyright © 2016 by HEMANT JAIN. All Right Reserved.

No part of this publication may be reproduced, distributed, or transmitted in any
form or by any means, including photocopying, recording, or other electronic or
mechanical methods, or by any information storage and retrieval system without
the prior written permission of the author, except in the case of very brief
quotations embodied in critical reviews and certain other non-commercial uses
permitted by copyright law.
ACKNOWLEDGEMENT

The author is very grateful to GOD ALMIGHTY for his grace and blessing.

Deepest gratitude for the help and support of my brother Dr. Sumant Jain. This
book would not have been possible without the support and encouragement he
provided.

I would like to express profound gratitude to my guide/ my friend Naveen
Kaushik for his invaluable encouragement, supervision and useful suggestion
throughout this book writing work. His support and continuous guidance enable
me to complete my work successfully.

Last but not least, I am thankful to Anil Berry and Others who helped me
directly or indirectly in completing this book.

Hemant Jain
TABLE OF CONTENTS
TABLE OF CONTENTS
TABLE OF CONTENTS
CHAPTER 0: HOW TO USE THIS BOOK
WHAT THIS BOOK IS ABOUT
PREPARATION PLANS
SUMMARY
CHAPTER 1: INTRODUCTION - PROGRAMMING OVERVIEW
INTRODUCTION
FIRST C++ PROGRAM
OBJECT
VARIABLE
PARAMETER PASSING, CALL BY VALUE
PARAMETER PASSING, CALL BY REFERENCE
PARAMETER PASSING, CALL BY POINTER
KINDS OF VARIABLES
METHODS
ACCESS MODIFIERS
ABSTRACT CLASS
RELATIONSHIP
GENERAL PROTOTYPE OF A CLASS
NESTED CLASS
ENUMS
CONSTANTS
CONDITIONS AND LOOPS
ARRAY
VECTOR
ARRAY INTERVIEW QUESTIONS
CONCEPT OF STACK
SYSTEM STACK AND METHOD CALLS
RECURSIVE FUNCTION
EXERCISES
CHAPTER 2: ALGORITHMS ANALYSIS
INTRODUCTION
ASYMPTOTIC ANALYSIS
BIG-O NOTATION
OMEGA-Ω NOTATION
THETA-Θ NOTATION
COMPLEXITY ANALYSIS OF ALGORITHMS
TIME COMPLEXITY ORDER
DERIVING THE RUNTIME FUNCTION OF AN ALGORITHM
TIME COMPLEXITY EXAMPLES
MASTER THEOREM
MODIFIED MASTER THEOREM
EXERCISE
CHAPTER 3: APPROACH TO SOLVE ALGORITHM DESIGN
PROBLEMS
INTRODUCTION
CONSTRAINTS
IDEA GENERATION
COMPLEXITIES
CODING
TESTING
EXAMPLE
SUMMARY
CHAPTER 4: ABSTRACT DATA TYPE & C++ COLLECTIONS
ABSTRACT DATA TYPE (ADT)
DATA-STRUCTURE
C++ COLLECTION FRAMEWORK
ARRAY
LINKED LIST
STACK
QUEUE
TREES
BINARY TREE
BINARY SEARCH TREES (BST)
PRIORITY QUEUE (HEAP)
HASH-TABLE
DICTIONARY / SYMBOL TABLE
GRAPHS
GRAPH ALGORITHMS
SORTING ALGORITHMS
COUNTING SORT
END NOTE
CHAPTER 5: SEARCHING
INTRODUCTION
WHY SEARCHING?
DIFFERENT SEARCHING ALGORITHMS
LINEAR SEARCH – UNSORTED INPUT
LINEAR SEARCH – SORTED
BINARY SEARCH
STRING SEARCHING ALGORITHMS
HASHING AND SYMBOL TABLES
HOW SORTING IS USEFUL IN SELECTION ALGORITHM?
PROBLEMS IN SEARCHING
EXERCISE
CHAPTER 6: SORTING
INTRODUCTION
TYPE OF SORTING
BUBBLE-SORT
MODIFIED (IMPROVED) BUBBLE-SORT
INSERTION-SORT
SELECTION-SORT
MERGE-SORT
QUICK-SORT
QUICK SELECT
BUCKET SORT
GENERALIZED BUCKET SORT
HEAP-SORT
TREE SORTING
EXTERNAL SORT (EXTERNAL MERGE-SORT)
COMPARISONS OF THE VARIOUS SORTING ALGORITHMS.
SELECTION OF BEST SORTING ALGORITHM
EXERCISE
CHAPTER 7: LINKED LIST
INTRODUCTION
LINKED LIST
TYPES OF LINKED LIST
SINGLY LINKED LIST
DOUBLY LINKED LIST
CIRCULAR LINKED LIST
DOUBLY CIRCULAR LIST
EXERCISE
CHAPTER 8: STACK
INTRODUCTION
THE STACK ABSTRACT DATA TYPE
STACK USING ARRAY
STACK USING ARRAY (GROWING-REDUCING CAPACITY
IMPLEMENTATION)
STACK USING LINKED LIST
PROBLEMS IN STACK
PROS AND CONS OF ARRAY AND LINKED LIST IMPLEMENTATION
OF STACK.
USES OF STACK
EXERCISE
CHAPTER 9: QUEUE
INTRODUCTION
THE QUEUE ABSTRACT DATA TYPE
QUEUE USING ARRAY
QUEUE USING LINKED LIST
PROBLEMS IN QUEUE
EXERCISE
CHAPTER 10: TREE
INTRODUCTION
TERMINOLOGY IN TREE
BINARY TREE
TYPES OF BINARY TREES
PROBLEMS IN BINARY TREE
BINARY SEARCH TREE (BST)
PROBLEMS IN BINARY SEARCH TREE (BST)
EXERCISE
CHAPTER 11: PRIORITY QUEUE
INTRODUCTION
TYPES OF HEAP
HEAP ADT OPERATIONS
OPERATION ON HEAP
HEAP-SORT
USES OF HEAP
PROBLEMS IN HEAP
EXERCISE
CHAPTER 12: HASH-TABLE
INTRODUCTION
HASH-TABLE
HASHING WITH OPEN ADDRESSING
HASHING WITH SEPARATE CHAINING
COUNT MAP
PROBLEMS IN HASHING
EXERCISE
CHAPTER 13: GRAPHS
INTRODUCTION
GRAPH REPRESENTATION
ADJACENCY MATRIX
ADJACENCY LIST
GRAPH TRAVERSALS
DEPTH FIRST TRAVERSAL
BREADTH FIRST TRAVERSAL
PROBLEMS IN GRAPH
DIRECTED ACYCLIC GRAPH
TOPOLOGICAL SORT
MINIMUM SPANNING TREES (MST)
SHORTEST PATH ALGORITHMS IN GRAPH
EXERCISE
CHAPTER 14: STRING ALGORITHMS
INTRODUCTION
STRING MATCHING
DICTIONARY / SYMBOL TABLE
PROBLEMS IN STRING
EXERCISE
CHAPTER 15: ALGORITHM DESIGN TECHNIQUES
INTRODUCTION
BRUTE FORCE ALGORITHM
GREEDY ALGORITHM
DIVIDE-AND-CONQUER, DECREASE-AND-CONQUER
DYNAMIC PROGRAMMING
REDUCTION / TRANSFORM-AND-CONQUER
BACKTRACKING
BRANCH-AND-BOUND
A* ALGORITHM
CONCLUSION
CHAPTER 16: BRUTE FORCE ALGORITHM
INTRODUCTION
PROBLEMS IN BRUTE FORCE ALGORITHM
CONCLUSION
CHAPTER 17: GREEDY ALGORITHM
INTRODUCTION
PROBLEMS ON GREEDY ALGORITHM
CHAPTER 18: DIVIDE-AND-CONQUER, DECREASE-AND-CONQUER
INTRODUCTION
GENERAL DIVIDE-AND-CONQUER RECURRENCE
MASTER THEOREM
PROBLEMS ON DIVIDE-AND-CONQUER ALGORITHM
CHAPTER 19: DYNAMIC PROGRAMMING
INTRODUCTION
PROBLEMS ON DYNAMIC PROGRAMMING ALGORITHM
CHAPTER 20: BACKTRACKING AND BRANCH-AND-BOUND