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;
import java.lang.Math;
public class Main {

	public static void main(String[] args) {
		Scanner scan = new Scanner(System.in);
		double a = Double.parseDouble(scan.next());
		double b = Double.parseDouble(scan.next());
		double c = Double.parseDouble(scan.next());
		c=Math.toRadians(c);
		scan.close();
		System.out.println(String.format("%6f\n%6f\n%6f\n"
				,0.5*a*b*Math.sin(c),a+b+Math.sqrt(a*a+b*b-2*a*b*Math.cos(c)),b*Math.sin(c)));
		}
}