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) {
		// TODO ?????????????????????????????????????????????
		Scanner sc = new Scanner(System.in);

		double a = sc.nextDouble();
		double b = sc.nextDouble();
		double C = sc.nextDouble();

		double radC = Math.PI * 2.0 * C / 360.0;

		double h = b * Math.sin(radC);

		double S = a * h / 2.0;

		double d = a - b * Math.cos(radC);
		double cc = h*h + d*d;
		double c = Math.sqrt(cc); // ????§???¢????????????????????????c

		double L = a + b + c;

		System.out.printf("%.5f\n", S);
		System.out.printf("%.5f\n", L);
		System.out.printf("%.5f\n", h);
	}

}