Given coefficients of a quadratic equation , you need to print the nature of the roots (Real and Distinct , Real and Equal or Imaginary) and the roots.

If Real and Distinct , print the roots in increasing order.

If Real and Equal , print the same repeating root twice

If Imaginary , no need to print the roots.

Note : Print only the integer part of the roots.

Input Format

First line contains three integer coefficients a,b,c for the equation ax^2 + bx + c = 0.

Constraints

-100 <= a, b, c <= 100

Output Format

Output contains one/two lines. First line contains nature of the roots .The next line contains roots(in non-decreasing order) separated by a space if they exist. If roots are imaginary do not print the roots. Output the integer values for the roots.

Sample Input

1 -11 28

Sample Output

Real and Distinct 4 7

MY SOLUTION:-

#include

#include<math.h>

using namespace std;

int main()

{

double a,b,c;

cin>>a>>b>>c;

double d;

d=(b*b)-(4*a*c);
double r1,r2;
r1=(-b+sqrt(d))/(2*a);

r2=(-b-sqrt(d))/(2*a);

double first,second;

if(r1>r2)

{

first=r1;

second=r2;

}

else

{

first=r2;

second=r1;

}

if(d>0)

{

```
cout<<"Real and Distinct"<<endl;
cout<<first<<" "<<second<<endl;
}
if(d==0)
{
cout<<"Real and Equal"<<endl;
cout<<first<<" "<<second<<endl;
}
```

if(d<0)

{

```
cout<<"Imaginary"<<endl;
}
```

return 0;

}