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);
		double a = sc.nextDouble();
		double b = sc.nextDouble();
		double C = sc.nextDouble();
		System.out.println(a*(b*Math.sin(C*Math.PI/180.0))/2);
		System.out.println(a+b+Math.sqrt(a*a+b*b-2*a*b*Math.cos(C*Math.PI/180.0)));
		System.out.println(b*Math.sin(C*Math.PI/180.0));
	}
}