Score : 500 points
Snuke received a triangle as a birthday present. The coordinates of the three vertices were (x_1, y_1), (x_2, y_2), and (x_3, y_3).
He wants to draw two circles with the same radius inside the triangle such that the two circles do not overlap (but they may touch). Compute the maximum possible radius of the circles.
The input is given from Standard Input in the following format:
x_1 y_1 x_2 y_2 x_3 y_3
Print the maximum possible radius of the circles. The absolute error or the relative error must be at most 10^{-9}.
0 0 1 1 2 0
0.292893218813
3 1 1 5 4 9
0.889055514217