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) {
		// TODO ?????????????????????????????????????????????
Scanner kb=new Scanner(System.in);
//a,b,?§????
double a=kb.nextDouble(),b=kb.nextDouble();
double c=kb.nextDouble();
double d=Math.sqrt(a*a+b*b-2*a*b*Math.cos(Math.toRadians(c)));
//??¢????????¨??????????????????
double s,l=0,h=0;
s=a*b*Math.sin(Math.toRadians(c))/2;
l=a+b+d;
h=2*s/a;

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

}