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 <stdio.h>
#include <math.h>

int main(void)
{
	double a,b,c;
	double h,S,L;

	scanf("%lf %lf %lf", &a,&b,&c);
	c = (c*M_PI)/180;
	h = b*sin(c);
	S = h*a/2;
	L = a + b + sqrt(a*a + b*b - 2*a*b*cos(c));
	printf("%lf\n", S);
	printf("%lf\n", L);
	printf("%lf\n", h);
	return 0;
}