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 CPP):

Solution:
#include<cstdio>
#include<math.h>

int main(){
	double a, b, c, d;
	scanf("%lf %lf %lf", &a, &b, &c);
	c = M_PI * c / 180;
	d = sqrt(a * a + b * b - 2 * a * b * cos(c));
	printf("%lf\n", a * b * sin(c) / 2);
	printf("%lf\n", a + b + d);
	printf("%lf\n", b * sin(c));
	return 0;
}