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
#include <cstdio>
#include <cmath>

int main(){
	double a, b, C;
	scanf("%lf %lf %lf", &a, &b, &C);
	double ra = C * M_PI / 180;
	double h = sin(ra) * b;
	double S = h * a / 2;
	double L1 = a*a + b*b -2*a*b*cos(ra);
	double L = a + b + sqrt(L1);
	printf("%f\n%f\n%f\n", S, L, h);
	return 0;
}