Construct a triangle 3#5192

Construct a triangle 3

1 second
122.174 megabytes
Easy

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 .

Output

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

Examples

Example 1

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