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 = Math.toRadians(sc.nextDouble());
         double s = a * b * Math.sin(c) / 2;
         double l = (a + b + Math.sqrt(a * a + b * b - 2 * a * b * Math.cos(c)));
         double h = b * Math.sin(c);
         System.out.println(s);
         System.out.println(l);
         System.out.println(h);    
	 }
}