Problem: For given two sides of a triangle a and b and the angle C between them, calculate the following properties:

* S: Area of the triangle
* L: The length of the circumference of the triangle
* h: The height of the triangle with side a as a bottom edge



Input

The length of a, the length of b and the angle C are given in integers.

Output

Print S, L and h in a line respectively. The output should not contain an absolute error greater than 10-4.

Example

Input

4 3 90


Output

6.00000000
12.00000000
3.00000000

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

class Main{

	public static void main(String[] arg) throws IOException
	{
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String[] str = br.readLine().split(" ");

		double a = Double.parseDouble(str[0]);
		double b = Double.parseDouble(str[1]);

		double rad = Math.toRadians(Double.parseDouble(str[2]) );

		double cx = b * Math.cos(rad) * (-1) + a;
		double cy = b * Math.sin(rad);

		double sq = (a*cy) / 2;
		double len = Math.sqrt(cx*cx + cy*cy) + a + b;

		System.out.printf("%.5f %.5f %.5f\n",sq ,len ,cy);
	}
}