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:
public class Main {
	public static void main(String[] args){
		java.util.Scanner scan = new java.util.Scanner(System.in);
		double a = scan.nextDouble();
		double b = scan.nextDouble();
		double c = scan.nextDouble();

		double S,L,h;

		S = a*b*Math.sin(Math.toRadians(c))/2;
		System.out.println(S);

		L = a+b+Math.sqrt(a*a+b*b-2*a*b*Math.cos(Math.toRadians(c)));
		System.out.println(L);

		h = 2*S/a;
		System.out.println(h);
	}

}