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.*;
import java.util.*;
import java.lang.*;

class Main {
    public static void main(String [] args){
        Scanner scan = new Scanner(System.in);
        
        int a = scan.nextInt();
        int b = scan.nextInt();
        int c = scan.nextInt();
        
        double cr = deg2rad(c);
        
        System.out.println((a * b * Math.sin(cr)) / 2);
        System.out.println(a + b + Math.sqrt(a * a + b * b - 2 * a * b * Math.cos(cr)));
        System.out.println(b * Math.sin(cr));
    }
    
    public static double deg2rad(double deg){
        return (deg / 360) * 2 * Math.PI;
    }
}