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{

	static final Scanner s=new Scanner(System.in);

	public static void main(String args[]){
		int a=s.nextInt(),b=s.nextInt();
		double d = Math.toRadians(s.nextInt());
		System.out.println(a*b*Math.sin(d)/2);
		System.out.println(
				a+b+
				Math.sqrt(
						a*a+b*b-2*a*b*Math.cos(d)
						)
				);
		System.out.println(b*Math.sin(d));
	}
}