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;

class Main
{
	public static void main(String[] args){
		Scanner scan = new Scanner(System.in);
		
		double a = scan.nextDouble();
		double b = scan.nextDouble();
		double c = scan.nextDouble();
		
		Double Sin = Math.sin(Math.toRadians(c));
		
		double d = (a * a) + (b * b) - (2 * a * b * Math.cos(Math.toRadians(c)));
		
		double S = 0.5 * a * b * Sin;
		double L = a + b + Math.sqrt(d);
		double h = b * Sin;
		
		System.out.printf("%.8f\n", S);
		System.out.printf("%.8f\n", L);
		System.out.printf("%.8f\n", h);
	}
}