Quadratics

Time limit1sMemory limit1024 MB

Summary

For each data set, read the coefficients a, b, c of a quadratic equation and print both real roots rounded to the thousandths place.

Level: Easy2 of 10
Topics: Math, Implementation
Solved: No attempts yet

Problem

After hearing that the quadratic formula is used constantly in calculus, you decide it would be more efficient to write a program for it. Write a program that solves the equation shown below:

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

The $\pm$ sign represents two equations, one with $+$ and one with $-$ . Your answer is both solutions, separated by a comma and a space.

Input

The first line contains a single integer $n$ , the number of data sets. Each of the following data sets is on its own line and contains three numbers $a$ , $b$ , and $c$ in that order. Each number is an integer or a decimal.

Output

Print both solutions rounded to the thousandths place, separated by a comma and one space. The solution for $+$ comes first, and the solution for $-$ comes second. The solutions are always real numbers.

Examples1

Example 1

Input

2
1 6 3
4 10 6.1

Expected output

-0.551, -5.449
-1.056, -1.444