Construct a triangle 3

Construct a triangle given two angles and the median from the third angle.

Input

Three real numbers - the length of a median and two angles in degrees. The length of the median is a positive number not exceeding 10^4, the angles are positive numbers with sum less than 180.

Output

Print 6 real numbers - the coordinates of the vertices of any triangle corresponding to the given input data with an accuracy at least 6 decimal digits.

Examples