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 sc = new Scanner(System.in);
		double a = sc.nextDouble();
		double b = sc.nextDouble();
		double C = sc.nextDouble();

		double cosC = Math.cos(C * (Math.PI / 180));
		double sinC = Math.sin(C * (Math.PI / 180));
		double S = a * b * sinC / 2;
		double x2 = b*cosC;
		double y2 = b*sinC;

		double L1=(x2-a)*(x2-a);
		double L2=(y2)*(y2);

		System.out.println(S);
		double L = Math.sqrt(L1 + L2);
		System.out.println(L + a + b);
		System.out.println(b * sinC);
    }
}