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 scan = new Scanner(System.in);
		
        int a = scan.nextInt();		//辺a
        int b = scan.nextInt();		//辺b
	    int c = scan.nextInt();		//角度
	    double angle = c * Math.PI /180;//角度
	    
	    //面積
	    double menseki = a * b  * Math.sin(angle) / 2;
	    
	    //dは残りの辺。Lは周の長さ
	    double L = a + b + Math.sqrt(Math.pow(a, 2) + Math.pow(b, 2) - 2 * a * b * Math.cos(Math.toRadians(c)));
	    
	    //高さ
	    double h = menseki * 2 / a;
	   
	    System.out.println(menseki);
	    System.out.println(L);
	    System.out.println(h);
	}
}