WEEK:2 PROGRAMMING ASSIGNMENT 2 SOLUTION (Jan 2020-Apr2020) An Introduction to Programming through C++ NPTEL 2020

  

               An Introduction To Programming Through C++

IIT Bombay.

Week 2- Programming Assignment 2:

As input, you are given an integer n, a double x, followed by n+1 doubles a_n, a_{n-1}, ..., a_0.  You are to print the value of the polynomial a_0 + a_1x+a_2x^2+...+a_nx^n.

Here is the manual algorithm.  At the beginning you just have read a_n.  Next you read a_{n-1} and calculate a_nx+a_{n-1}.  Next you read a_{n-2} and calculate (a_nx+a_{n-1})x+a_{n-2}.  So after n iterations you will have the value of the polynomial above.  Note that in each iteration you need to use the values calculated earlier.

Sample Test Cases

	Input	Output
Test Case 1	2 3 3 2 1	34

#include<iostream>
double mul(double x,int m);
double mul(double x,int m)
{
  double su=1;
  
  for(int i=0;i<m;i++)
  {
    
    su=su*x;
  }
  return su;
}
int main()
{
  
  int n,i,j,m;
  double x,arr[30],sum=0;
  
  
  cin>>n;
  cin>>x;
  
  for(i=0;i<=n;i++)
  {
    cin>>arr[i];
        
  }
  m=n; 
  for(i=0;i<=n;i++)
  {
    sum=sum+arr[i]*mul(x,m);
    m--;    
  }
  
  cout<<sum<<"\n";
return 0;  
}

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