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();
		double c1 = c*Math.PI/180;
		
		System.out.println(String.format("%f", 0.5*a*b*Math.sin(c1))
				+ " " + String.format("%f", a+b+Math.pow(a*a+b*b-2*a*b*Math.cos(c1), 0.5))
				+ " " + String.format("%f", b*Math.sin(c1)));
	}
}