You are given a quadratic equation with integer coefficients A * X2 + B * X + C = 0. It is guaranteed that A ≠ 0 and that the equation has at least one real root. Output the roots of the equation.

Input

The only line of input contains integers A, B and C ( - 1000 ≤ A, B, C ≤ 1000, A ≠ 0), separated by spaces.

Output

Output the roots of the equation in increasing order. If the equation has a single root of multiplicity 2, output it once. The root is considered to be correct if its absolute or relative error does not exceed 10 - 4.

Examples

Input

1 -2 1


Output

1


Input

1 0 -1


Output

-1 1


Input

2 -3 1


Output

0.5 1

Source: codeforces | Difficulty: MEDIUM


Solutions: