The Circumference of the Circle#1045

The Circumference of the Circle

1 second
128 megabytes
Very easy

Calculating the circumference of a circle is a simple task if you know its diameter. But what if you don't?

You are given the Cartesian coordinates of three non-collinear points on a plane.

Your task is to calculate the circumference of the circle passing through these three points.

Input

The input consists of several test cases. Each test case consists of a single line containing six real numbers x_1, y_1, x_2, y_2, x_3, y_3 representing the coordinates of the three points. It is guaranteed that the diameter of the circle defined by these three points does not exceed .

Output

For each test case, print on a separate line the circumference of the circle defined by these three points. Print the circumference with 2 decimal digits.

Examples

Example 1

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