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 {
	private static Scanner sc=new Scanner(System.in);
	private static double a=sc.nextDouble();
	private static double b=sc.nextDouble();
	private static int c=sc.nextInt();
	private static double s,l,h;
	public static void main(String[] args){
		s=(a*b*Math.sin(c*Math.PI/180))/2;
		h=b*Math.sin(c*Math.PI/180);
		l=a+b+Math.sqrt(a*a+b*b-2*a*b*Math.cos(c*Math.PI/180));
		System.out.println(s);
		System.out.println(l);
		System.out.println(h);
	}
}