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) {
		Scanner sc=new Scanner(System.in);
		double a=sc.nextDouble();
		double b=sc.nextDouble();
		double c=sc.nextDouble();
		double si=Math.sin(c*(Math.PI/180));
		double co=Math.cos(c*(Math.PI/180));
		double S=a*b*si/2;
		double q=Math.sqrt(a*a+b*b-2*a*b*co);
		double L=a+b+q;
		double h=S*2/a;
		System.out.println(S+"\n"+L+"\n"+h);
		sc.close();
		}
	}