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.util.Scanner;
public class Main {
	public static void main(String[] args) {
		Double S,L,H;
		int a,b;
		double angleC;
		final double PI = 3.14159265358979323846;
		Scanner scan = new Scanner(System.in);
		a=scan.nextInt();
		b=scan.nextInt();
		angleC=scan.nextDouble()/180*PI;
		scan.close();
		S=a*b*Math.sin(angleC)/2;
		L=a+b+Math.sqrt(a*a+b*b-2*a*b*Math.cos(angleC));
		H=b*Math.sin(angleC);
		System.out.println(S + "\n" + L + "\n" + H);
	}
}