Angles of triangle#1614

Angles of triangle

1 second
128 megabytes
Very easy

Given a triangle, determine the value of its largest angle.

Input

The coordinates of the three vertices of the triangle are given (first the coordinates of the first vertex, then the second, then the third). Each coordinate is an integer, and the absolute value of any coordinate does not exceed 10^4.

Output

Print the value of the largest angle of the triangle in degrees, with digits after the decimal point.

Examples

Example 1

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Example 4

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