To make things easier, WishingBone decides to put this simple geometry problem at the beginning. Given a triangle, what is the ratio of the area of its inscribed circle to that of its circum circle?


9 integers x1 y1 z1 x2 y2 z2 x3 y3 z3 on one line (-1000 <= x, y, z <= 1000), the three coordinates of the triangle. The three coordinates will not appear collinear.

Process to the end of file.


One ratio per line, exact to three digits to the right of the decimal point.

Sample Input

0 0 0 0 0 1 0 1 0

Sample Output