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 scan = new Scanner(System.in);

        int a =scan.nextInt();
        int b =scan.nextInt();
        int C =scan.nextInt();

        double radC=C*2*Math.PI/360;

        double S=a*b*Math.sin(radC)/2;
        double d=Math.sqrt(a*a+b*b-2*a*b*Math.cos(radC));
        double h=b*Math.sin(radC);
        double L=a+b+d;
        System.out.printf("%f\n",S);
        System.out.printf("%f\n",L);
        System.out.printf("%f\n",h);

    }
}