Convert an angle expressed in degrees, minutes and seconds into the same angle expressed in radians. To do so, you must first convert the angle into decimal degrees. Afterwards, apply the following formula

1 radian = $$\frac{180}{\pi}$$ degrees, with $$\pi = 3.1415\ldots$$

to convert degrees into radians.

Input

The size of an angle expressed in degrees, minutes and seconds. The degrees $$g$$ ($$0 \leq g < 360$$), minutes $$m$$ ($$0 \leq m < 60$$) and seconds $$s$$ ($$0 \leq s < 60$$) of this angle are integers, and each are on a separate line.

Output

The size of the given angle expressed in radians.

Example

Input:

39
45
7

Output:

0.693802