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 sc = new Scanner(System.in);
        
        int a = sc.nextInt();
        int b = sc.nextInt();
        int C = sc.nextInt();
        
        double RC = C / 180.0 *Math.PI; 
        
        System.out.println(1.0 / 2 * a * b * Math.sin(RC));
        
        System.out.println(a + b + Math.sqrt((a * a) + (b * b) - (2 * a * b * Math.cos(RC))));
        
        System.out.println(b * Math.sin(RC));
    }
}