Area Ratio

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?

Input

9 integers x[1], y[1], z[1], x[2], y[2], z[2], x[3], y[3], z[3] (-1000 ≤ x[i], y[i], z[i] ≤ 1000) are given on each line, the coordinates of triangle vertices. No three points are collinear.

Output

For each test case print the ratio on a separate line with three decimal digits. If rounding to a given accuracy you get zero, print the message "Zero!" (without the quotes).

Examples