NPTEL Online Course Week 5 Solution Implement a Matrix ADT

NPTEL Online Course Week 5 Solution Implement a Matrix ADT Assignment

You have to implement a matrix ADT using concepts of C++ classes taught in the lectures. The input matrices would be square matrices. Theclass must support the following functions:

1. Matrix Addition

2. Matrix Subtraction

3. Matrix Multiplication

NPTEL Online Course Week 5 Big Int Addition

NPTEL Online Course Week 5 Big Int Addition Assignment

Primitive int data type handles integers each of which can be stored using 32 bits. Similarly long data type also has a limit. In this assignment you have to implement a data type which handles numbers larger than int , long and long long.

You are given a number in decimal form. You need to build a data structure called BigInt which can store that data, and perform the following basic operations on that data type:

NPTEL Online Course Week 5 Solution Implementing a Hash Table ADT

NPTEL Online Course Week 5 Solution Implementing a Hash Table ADT Assignment

A hash table is a data structure that maps a set of keys to a given set of values. It uses a hash function to compute an index into an array of buckets or slots, from which the correct value can be found or to which a correct value can be inserted. A hash function will assign each key to a unique bucket or slot. In practice, however, there may be more than one key that will hash to the same bucket. Such an assignment is said to result in a collision.

NPTEL Week 5: Basic Data Structures and Lists Solutions

Solution of Week 5  Basic Data Structures and Lists NPTEL Online Course

1. Assume that the structure of a Linked List node is as follows:
 struct node{
     int data;
     struct node *next;
 };
 What does the following function print for a given Linked List which has elements in the order 1->2->3->4->5->6. 

NPTEL Week 3: Functions and Program Running Time Assignments Solution

Solution of assignment  of week 3 Online course conduct by  NPTEL on Programming, Data Structures and Algorithms

Functions and Program Running Time

Count pairs such that x^y > y^x

Evaluating a Polynomial

Evaluating a Recurrence Relation

Palindrome Checker

NPTEL Palindrome Checker

Write a program which takes a string as input and prints the longest prefix of the string whose reverse is a valid suffix of the string. For example, if "notation" is given as input, the prefix "no" is the longest prefix that has a matching valid suffix (namely "on") at the end.

NPTEL Evaluating a Recurrence Relation

A recurrence relation T is defined on n >= 0 and is given as T(n) = T(n-1) + 2*n with the base case T(0) = 1. You will be given one integer k and you have to write a program to find out T(k). The program must implement T( ) recursively.

NPTEL Evaluating a Polynomial

You are given a polynomial of degree n. The polynomial is of the form P(x) = anxn + an-1xn-1 + … + a0, where the ai‘s are the coefficients.  Given an integer x, write a program that will evaluate P(x).

You are provided with a function named power( ) that takes two positive integers x & y and returns xy. If y is 0, the function returns 1.

The prototype of this function is

NPTEL Count pairs such that x^y > y^x

Given a  sequence A of N positive integers, write a program to find the number of pairs (A[i], A[j]) such that i < j and A[i]A[j] > A[j]A[i] (A[i] raised to the power A[j] > A[j] raised to the power A[i]).

You are provided with a function named power( ) that takes two positive integers x & y and returns xy. If y is 0, the function returns 1.

The prototype of this function is

int power(int x, int y);

You do not have to write the program for power ( ) function. This function is automatically added at the end of the code segment that you write.

In your program, use this function to count the number of such pairs.

NPTEL Week 3 on Functions and Program Running Time

Assessment 3 on Functions and Program Running Time

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