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 sc = new Scanner(System.in);
		int a=sc.nextInt();
		int b=sc.nextInt();
		double c=Math.toRadians(sc.nextInt());
		double S,L,h;
		sc.close();
		double x=b*Math.tan(c)/Math.sin(c)-a;
		L=Math.sqrt(a*a+b*b-2*a*b*Math.cos(c))+a+b;
		S=a*Math.sin(c)*b/2;
		h=b*Math.sin(c);
		System.out.printf("%f %f %f%n",S,L,h);
				

	}
}