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 void main(String args[])
	{
		Scanner input = new Scanner(System.in);
		double a = input.nextDouble();
		double b = input.nextDouble();
		double c = input.nextDouble();
		double rad = Math.toRadians(c);
		System.out.println( a*b*Math.sin(rad)/2 );
		System.out.println( a + b + Math.sqrt(a*a + b*b -2*a*b*Math.cos(rad)) );
		System.out.println( b*Math.sin(rad) );
		input.close();
	}
}