problem :
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
Explanation
The input corresponds to equation ax^2 + bx + c = 0. Roots = (-b + sqrt(b^2 - 4ac))/2a , (-b - sqrt(b^2 - 4ac))/2a
Solution :