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.io.IOException;
import java.util.Scanner;

class Main {

	public static void main(String[] args) throws IOException {

		Scanner scane = new Scanner(System.in);

		double a = scane.nextDouble();

		double b = scane.nextDouble();

		double C = scane.nextDouble();

		System.out.println(a*(b*Math.sin(Math.toRadians(C)))/2);

		System.out.println(a+b+Math.sqrt(Math.pow(a, 2)+Math.pow(b, 2)-(2*a*b*Math.cos(Math.toRadians(C)))));

		System.out.println(Math.sin(Math.toRadians(C))*b);

	}

}