Bisector#2146

Bisector

1 second
64 megabytes
Easy

Find the line containing the bisector of the angle defined by the vertex and points and on its sides.

Input

Six integers: the coordinates of points , , and . All values are integers not exceeding by absolute value. The angle is guaranteed to be greater than and less than degrees.

Output

Three numbers: the coefficients of the general equation of the bisector of angle . Print the coefficients with exactly three decimal places.

Examples

Example 1

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