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 {
	void run(){
		Scanner s = new Scanner(System.in);
		int a = s.nextInt();//辺
		int b = s.nextInt();//辺
		int c = s.nextInt();//間の角
		double S,L,h;//面積，周の長さ，aを底辺としたときの高さ
		S = a * b * Math.sin(Math.toRadians(c)) / 2;
		L = a * a + b * b - 2 * a * b * Math.cos(Math.toRadians(c));
		L = Math.sqrt(L) + a + b;
		h = (S * 2) / a;
		System.out.println(S);
		System.out.println(L);
		System.out.println(h);
	}
	public static void main(String args[]){
		new Main().run();
	}
}