DCA6209 DATA STRUCTURES AND ALGORITHMS

Description

SESSION	JAN 2026
PROGRAM	MASTER OF COMPUTER APPLICATIONS (MCA)
SEMESTER	II
COURSE CODE & NAME	DCA6209 DATA STRUCTURES & ALGORITHM

 

Assignment Set – 1

 

Q.1. Explain the concept of algorithm complexity. Discuss different types of complexity and analyze the time complexity of a simple linear search algorithm using asymptotic notation. (10 Marks)

Ans 1.

Algorithm Complexity

The measure of complexity in an algorithm is of computational resources- primarily time and memory — consumed by an algorithm in proportion of its input. Complexity analysis enables computer engineers and scientists to predict how an algorithm is going to scale as the size of input expands, to compare algorithms that solve the same challenge and identify bottlenecks in performance and make informed implementation choices without needing to run the algorithm on

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Q.2. Explain the structure of a linked list. Describe insertion and deletion operations with suitable examples. (10 Marks)

Ans 2.

Structure of a Linked List

An linked list (also known as an array) is a dynamic data structure consisting from a set of elements called nodes, where each node has data as well as an identifier (pointer or link) to the next one within the sequence. In contrast to arrays, linked lists do not include elements stored in contiguous memory places. Instead, nodes are distributed in memory, linked via pointers that allow for dynamic size adjustment — the list is able to expand or shrink during the time of running without having to

 

Q.3. Define stack and queue. Explain their implementation and applications with examples. (10 Marks)

Ans 3.

Stack – Definition and Implementation

A stack is a linear data structure that operates according to the Last In First Out (LIFO) principle. The element which was added the most recently to the stack is the first one to be eliminated. It is visualized in terms of the physical plate stack which have new plates placed on top. Only the highest plate is able to be taken off at any point. The stack is able to support three key processes: Push inserts elements to the uppermost part of the stack. Pop removes the element at the top (raises underflow error if your stack is empty) while Peek or Top returns the most top element, but without taking it

 

Q.4. Explain external sorting. Why is it required, and how are extended initial runs generated during sorting on disks? Illustrate with an example. (10 Marks)

Ans 4.

External Sorting – Concept and Need

External sorting refers specifically to sorting algorithms designed to handle massive amounts of data to fit entirely in the main memory (RAM) and, therefore, must be backed up using slower storage devices, such as magnetic disks or solid state drives throughout the sorting process. In the event that the information to be sorting — which might include gigabytes and terabyteshas a larger capacity

 

Q.5. What is static hashing? Explain how direct files are organized using hashing and discuss collision resolution methods. Also differentiate static hashing from dynamic hashing. (10 Marks)

Ans 5.

Static Hashing and Direct File Organization

Hashing is the process that transforms key values into an address within a storage structure by using a hash function that allows for an average O(1) time retrieval of records without sequential search. In the organization of files, static hashing uses the fixed size of a hash table, in which the bucket size is predetermined and does not change according to the rate at which the file expands or shrinks. The

 

 

Q.6. Describe different file organization methods: Sequential files, Indexed Sequential Files, and Direct files. Explain where each method is best used. (10 Marks)

Ans 6.

Sequential File Organization

Records are stored in a sequential file structure with respect to their physical order which they’re added into the file. They are also sorted using an important field. The records are accessible by order of appearance from beginning of the file until the end. In a sorted sequential format, records are arranged in ascending or descending order of the key that is used to enable the search of binary data within files stored in memory. Operations such as read-next (advances through the file linearly) or