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.*;

public class Main {
	 
	static String str;
	
	public static void main(String[] args) {
		Scanner cin=new Scanner(System.in);
		
		int a=cin.nextInt(),b=cin.nextInt(),C=cin.nextInt();
		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(b*Math.sin(Math.toRadians(C)));
	}
	
	
	
}