Competitions

# Intro to geometry - 1

# 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).

Input example #1

0 0 0 0 0 1 0 1 0

Output example #1

0.172