Roots Of A Quadratic Equation

You have been given 3 integers 'A', 'B', 'C' which are the coefficients of the quadratic equation (AX^2 + BX + C = 0). Your task is to find the real roots of the quadratic equation or report if no real roots exist (return a pair of -1).

For example:

Let’s consider the equation X^2 + 2X + 1 = 0 . We can see that the quadratic equation has no real roots. So we return a pair of -1 i.e. [-1, -1].

We can consider the equation X^2 - 5X - 6 = 0. As depicted from the equation the value of 'A' would be 1, 'B' would be -5 and 'C' would be -6. We can see that this equation has two distinct roots -2 and -3. Hence we return an array/sequence containing -2 and-3.

Note:

1. If the equation has repeated roots, return the roots twice.
2. If there are imaginary roots, return -1 twice.
3. If the root is not an integer, return the greatest integer value less 
than the root.

Input format:

The first line of input contains an integer ‘T’ denoting the number of test cases.

The first and the only line of each test case consists of three single space-separated integers 'A', 'B', and 'C' which denotes the integer coefficients in the polynomial: AX^2 + BX + C = 0.

Output Format:

For each test case, print in a single line two single space-separated integers, denoting the roots of the quadratic equation. 

The output of each test case will be printed in a separate line.

Note

You are not required to print anything; it has already been taken care of. Just implement the function and return the answer.

Constraints:

 1 <= T <= 10^5
-10^3 <= A, C <= 10^3
-10^4 <= B <= 10^4
 A ≠ 0

Time Limit: 1 sec