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;

class Main {
    public static void main(String[] args) {
        Scanner scan = new Scanner(System.in);
        int a = scan.nextInt();
        int b = scan.nextInt();
        int degree = scan.nextInt();

        System.out.println(0.5 * a * b * Math.sin(Math.toRadians(degree))); // 面積
        System.out.println(a + b + Math.sqrt(((Math.pow(a, 2) + Math.pow(b, 2) - 2 * a * b * Math.cos(Math.toRadians(degree))))));
        System.out.println(b * Math.sin(Math.toRadians(degree)));
    }
}