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:
public class Main{
  public void run(java.io.InputStream in, java.io.PrintStream out){
    java.util.Scanner sc = new java.util.Scanner(in);
/*answer*/
    double a, b, cc;
    double s, l, h;

    a = sc.nextDouble();
    b = sc.nextDouble();
    cc = sc.nextDouble();
    cc = Math.toRadians(cc);

    s = a * b * Math.sin(cc) / 2.0;
    l = a + b + Math.sqrt(a * a + b * b - 2.0 * a * b * Math.cos(cc));
    h = b * Math.sin(cc);

    System.out.println(s);
    System.out.println(l);
    System.out.println(h);

    sc.close();
  }
  public static void main(String[] args){
    (new Main()).run(System.in, System.out);
  }
}