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;

   class Main{
      public static void main(String args[]){
       Scanner scan = new Scanner(System.in);

       double a =scan.nextDouble();
       double b =scan.nextDouble();
       double c1 =scan.nextDouble();
       double C = c1*Math.PI/180;

       double s = 0.5*a*b*Math.sin(C);
       double c = Math.sqrt(a*a+b*b-2*a*b*Math.cos(C));
       double l = a+b+c;
       double h = b*Math.sin(C);

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

       }
   }