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

}