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Data Structures and algorithms solved question paper

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Solved question papers on data structures and algorithms that will help students to get good grades in exam

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Syllabus

B.C.A. Part-I



Algorithms and Data Structure



Algorithms, Pseudo Code, Efficiency of Algorithms, Analyzing Algorithms and

Problems, Complexity Measures, Basic Time Analysis of an Algorithm, Space

Complexity.

Data Abstraction and Basic Data Structures, Data Types, Abstract Data Types and

C++ Classes.

String Processing (Storing Strings, String Operations, Word Processing, Pattern

Matching Algorithms).

Arrays and their Representation, Representation of Linear Arrays in Memory, Sorting

and Searching, Bubble Sort and Binary Search, Multidimensional Arrays, Pointer

Arrays, Records and Record Structures.

Linked Lists, Representation of Linked List in Memory, Insertion, Deletion and

Searching of Linked List, Two Way Lists, Stacks, Array Representation of Stacks,

Arithmetic Expressions, Polish Notations, Quick Sort, Recursion, Queues, De-queues,

Priority Queues.

Tables and Searching, Linear Search, Binary Search, Hash Tables, Trees, Binary and

N-ary Trees, Representation of Binary Trees in Memory, Traversing Binary Trees,

Traversal Algorithms using Stacks, Header Nodes, Threads, Binary Search Trees,

Heap, Heapsort, Huffman‘s Algorithm.

Graph and their Representation, Sequential Representation, Warshall‘s Algorithm,

Linked Representation of Graphs, Operations on Graphs Traversing a Graph.

Sorting and Searching : Sequential, Binary and Hashed Searching, Internal and

External Sorting Techniques, Bubble Sort, Insertion Sort, Selection Sort, Merge Sort,

Radix Sort and Quick Sort Comparison.



□□□

,Algorithms and Data Structure 5



Content



S.No. Name of Topic

1. Basics of Algorithms

2. Data Structure Organisation

3. Arrays

4. Strings

5. C++ : Classes and Objects

6. Linked List

7. Stacks

8. Queue

9. Sorting and Searching Techniques

10. Graph

11. Tree

12.

13.

Unsolved Papers 2011 to 2006

MCQ



□□□



6



Chapter-1



Basics of Algorithms



Q.1. What are the various steps to plan algorithm?

Ans.: Following steps must be followed to plan any algorithm :

,(1) Device Algorithm : Creating an algorithm is an art in which may never

be fully automated. When we get the problem, we should first analyse

the given problem clearly and then write down some steps on the

paper.

(2) Validate Algorithm : Once an algorithm is devised , it is necessary to

show that it computes the correct answer for all possible legal inputs .

This process is known as algorithm validation. The algorithm need not

as yet be expressed as a program. It is sufficient to state it in any precise

way. The purpose of validation is to assure us that this algorithm will

work correctly independently of the issues concerning the

programming language it will eventually be written in. Once the

validity of the method has been shown, a program can be written and a

second phase begins. This phase is referred to as program proving or

program verification.

(3) Analyse Algorithm : As an algorithm is executed , it uses the

computers central processing unit to perform operations and its

memory ( both immediate and auxiliary) to hold the program and data.

Analysis of algorithm or performance analysis refers to the task of

determining how much computing time and storage an algorithm

requires. An important result of this study is that it allows you to make

quantitative judgments about the value of one algorithm over another.

Another result is that it allows you to predict whether the software will

meet any efficiency constraints that exist. Analysis can be made by

taking into consideration.



Algorithms and Data Structure 7



(4) Test A Program : Testing a program consists of 2 phases : debugging

and performance management. Debugging is the process of executing

programs on sample data sets to determine whether results are

, incorrect if so corrects them. Performance management is the process of

executing a correct program on data sets and measuring the time and

space it takes to compute the results. These timing figures are useful in

that they may confirm a previously done analysis and point out logical

places to perform useful optimization.



Q.2. Define Algorithms with suitable example.

Ans.: Consider the following three examples. What do they all have in common?



How to change your motor oil

(1) Place the oil pan underneath the oil plug of your car.

(2) Unscrew the oil plug.

(3) Drain oil.

(4) Replace the oil plug.

(5) Remove the oil cap from the engine.

(6) Pour in 4 quarts of oil.

(7) Replace the oil cap.

Therefore an algorithm is a set of instructions for solving a problem. Once we

have created an algorithm, we no longer need to think about the principles on

which the algorithm is based. This means that algorithms are a way of

capturing intelligence and sharing it with others. Once you have encoded the

necessary intelligence to solve a problem in an algorithm, many people can

use your algorithm without needing to become experts in a particular field.



Q.3 Why the algorithm are important to computers. How can we create it in

understandable form?

Ans. Algorithms are especially important to computers because computers are

really general purpose machines for solving problems. But in order for a

computer to be useful, we must give it a problem to solve and a technique for



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