Area Ratio#1115

Area Ratio

1 secondo
122,174 megabyte
Facile

Given the coordinates of the vertices of a triangle in space, find the ratio of the area of the circle inscribed in the triangle to the area of the circle circumscribed about the triangle.

prb1115

Input

Each line contains integers x_1, y_1, z_1, x_2, y_2, z_2, x_3, y_3, z_3 (-1000 \leq x_i, y_i, z_i \leq 1000) — the coordinates of the vertices of the triangle. No three points are collinear.

Output

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

Esempi

Esempio 1

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