NPTEL Problem Solving Through Programming In C - Programming Assignment Jan-2024 Week 11

 

Week-11 Program-01

Due on 2024-04-11, 23:59 IST

Your last recorded submission was on 2024-03-30, 16:32 IST

Select the Language for this assignment.      --                     C               

#include<stdio.h>

int main()

{

  float t[100]={10,15,18,22,30}, v[100]={22,26,35,48,68};

  float a; //Value of the t to find the respective value of v(t)

  scanf("%f", &a);  // This will be taken from test cases

int i,j;

float b, c, k =0;

for(i=0; i<5; i++)

   {

      b=1;

      c=1;

      for(j=0; j<5; j++)

        {

           if(j!=i)

             {

               b=b*(a-t[j]);

               c=c*(t[i]-t[j]);

              }

            }

        k=k+((b/c)*v[i]);

        }

printf("The respective value of the variable v is: %.2f", k);

  return 0;

}

   

Compilation : Passed
Public Test Cases: 2 / 2 Passed

Note: These tests may not be considered while scoring. Know more.

Public Test Cases	Input	Expected Output	Actual Output	Status
Test Case 1	25	The respective value of the variable v is: 56.42	The respective value of the variable v is: 56.42	Passed
Test Case 2	16	The respective value of the variable v is: 28.74	The respective value of the variable v is: 28.74	Passed

Week-11 Program-02

Due on 2024-04-11, 23:59 IST

Select the Language for this assignment.      --                     C               

#include<stdio.h>

float func(float x);

int main()

{

  int n=10; //Taking n=10 sub intervals

  float a,b,integral; //integral is the integration result

  scanf("%f",&a); // initial limit taken from test case 

  scanf("%f",&b); // Final limit taken from test case

//Use the printf statement as printf("The integral is: %0.6f\n",integral);

int i;

float h,x, sum=0;  

if(b>a)

  h=(b-a)/n;

  else

  h=-(b-a)/n;

  for(i=1;i<n;i++){

    x=a+i*h;

    sum=sum+func(x);

  }

  integral=(h/2)*(func(a)+func(b)+2*sum);

  printf("The integral is: %0.6f",integral);

  return 0;

}

float func(float x)

{

  return x*x;

}

   

Compilation : Passed
Public Test Cases: 2 / 2 Passed

Note: These tests may not be considered while scoring. Know more.

Public Test Cases	Input	Expected Output	Actual Output	Status
Test Case 1	0 1	The integral is: 0.335000	The integral is: 0.335000	Passed
Test Case 2	1 3	The integral is: 8.680000	The integral is: 8.680000	Passed

Week-11 Program-03

Due on 2024-04-11, 23:59 IST

Select the Language for this assignment.      --                     C               

#include<stdio.h>

float func(float x,float y);

int main()

{

    float m1,m2,m3,m4,m,h=0.3;

    float x0 = 0.3, y0 = 5, xn;

    // xn will be taken from test cases

    scanf("%f",&xn);

//Use the printf statement as: printf("y=%f",y0);  // Final output

while(x0<xn)

    {

        m1=func(x0,y0);

        m2=func((x0+h/2.0),(y0+m1*h/2));

        m3=func((x0+h/2.0),(y0+m2*h/2));

        m4=func((x0+h),(y0+m3*h));

        m=((m1+2*m2+2*m3+m4)/6);

        y0=y0+m*h;

        x0=x0+h;

    }

    printf("y=%f",y0);  // Final output

    return 0;

}

float func(float x,float y)

{

    float m;

    m=(x*(x+1)-3*y*y*y)/10;

    return m;

}

   

Compilation : Passed
Public Test Cases: 2 / 2 Passed

Note: These tests may not be considered while scoring. Know more.

Public Test Cases	Input	Expected Output	Actual Output	Status
Test Case 1	0.9	y=1.777165	y=1.777165	Passed
Test Case 2	1.2	y=1.468128	y=1.468128	Passed

Week-11 Program-04

Due on 2024-04-11, 23:59 IST

Write a C program to check whether the given input number is Prime number or not using recursion. So, the input is an integer and output should print whether the integer is prime or not. Note that you have to use recursion.

Select the Language for this assignment.      --                     C               

#include <stdio.h>

int checkPrime(int, int); //Function to check prime or not 

int main()

{

    int num, check;

    scanf("%d", &num); //The number is taken from test case data

    check = checkPrime(num, num/2);

    if (check == 1)

    {

        printf("%d is a prime number\n", num);

    }

    else

    {

        printf("%d is not a prime number\n", num);

    }

    return 0;

}

int checkPrime(int num, int i)

{

    if (i == 1)

    {

        return 1;

    }

    else

    {

       if (num % i == 0)

       {

         return 0;

       }

       else

       {

         return checkPrime(num, i - 1);

       }

    }

}

   

Compilation : Passed
Public Test Cases: 2 / 2 Passed

Note: These tests may not be considered while scoring. Know more.

Public Test Cases	Input	Expected Output	Actual Output	Status
Test Case 1	13	13 is a prime number	13 is a prime number\n	Passed after ignoring Presentation Error
Test Case 2	40	40 is not a prime number	40 is not a prime number\n	Passed after ignoring Presentation Error

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