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) {
		Scanner scn = new Scanner(System.in);
		double a = scn.nextDouble();
		double b = scn.nextDouble();
		double e = scn.nextDouble();
		double C = Math.sin(Math.toRadians(e));
		double S = a * b * C / 2;
		double d = (a * a) + (b * b) - (2 * a * b * Math.cos(Math.toRadians(e)));
		double L = a + b + Math.sqrt(d);
		double h = b * C;
		System.out.println(S + " " + L + " " + h);
	}
}