Definition. If F_{1}, F_{2} are two points and R
is a positive number such that 2R > F_{1}F_{2}, then an ellipse
can be defined as a set of all points M such that F_{1}M + F_{2}M ≤ 2R.
Your task is to inscribe an ellipse of the biggest possible area into
the given triangle.
Input
The input contains three integers a, b, c:
lengths of the triangle’s sides
(1 ≤ a ≤ b ≤ c ≤ 1000; c < a + b).
Output
Output numbers F_{1}F_{2} and R, which describe the requested ellipse.
The answer must be given with absolute or relative error not exceeding
10^{−6}.
It is guaranteed that the answer is unique.
Sample
input  output 

1 1 1
 0.000000 0.288675

Problem Author: Mikhail Rubinchik (idea by Pavel Ageev)
Problem Source: Ural FU contest. Kontur Cup. Petrozavodsk training camp. Winter 2013