Problem Statement

Solve the quadratic equation $ax^2 + bx + c = 0$.

Input

$a$ $b$ $c$

All inputs are integers.
$-100 \leq a,b,c \leq 100$
$a \neq 0$

Output

Output all solutions of the quadratic equation on one line.
However, real solutions do not necessarily exist, so if imaginary solutions occur, output ”imaginary”.
Your answer is accepted if its absolute or relative error from the expected answer is at most $10^{-4}$.
If there are multiple solutions, output them separated by single-byte spaces in ascending order.
Print a newline at the end.

Sample

1 2 -5

-3.449489742783178 1.449489742783178

1 -4 4

2.000000000000000

1 3 4

imaginary