Problem Statement

In an xy-coordinate plane whose x-axis is oriented to the right and whose y-axis is oriented upwards, rotate a point (a, b) around the origin d degrees counterclockwise and find the new coordinates of the point.

Input

Input is given from Standard Input in the following format:
a b d

Output

Let the new coordinates of the point be (a', b'). Print a' and b' in this order, with a space in between.
Your output will be considered correct when, for each value printed, the absolute or relative error from the answer is at most 10^{-6}.

Constraints

• -$1000 \leq a,b \leq 1000$
• $1 \leq d \leq 360$
• All values in input are integers.

Sample Input 1

2 2 180

Sample Output 1

-2 -2

When (2, 2) is rotated around the origin 180 degrees counterclockwise, it becomes the symmetric point of (2, 2) with respect to the origin, which is (-2, -2).

Sample Input 2

5 0 120

Sample Output 2

-2.49999999999999911182 4.33012701892219364908

When (5, 0) is rotated around the origin 120 degrees counterclockwise, it becomes $(-\frac {5}{2} , \frac {5\sqrt{3}}{2})$.
This sample output does not precisely match these values, but the errors are small enough to be considered correct.

Sample Input 3

0 0 11

Sample Output 3

0.00000000000000000000 0.00000000000000000000

Since (a, b) is the origin (the center of rotation), a rotation does not change its coordinates.

Sample Input 4

15 5 360

Sample Output 4

15.00000000000000177636 4.99999999999999555911

A 360-degree rotation does not change the coordinates of a point.

Sample Input 5

-505 191 278

Sample Output 5

118.85878514480690171240 526.66743699786547949770

见题面 Input 部分

见题面 Output 部分