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<cmath>

int main()
{
	double a,b,c;
	double PI = acos(-1.0);
	double S,L,H;
	scanf("%lf %lf %lf",&a,&b,&c);
    S=a*b*sin(c/180*PI)/2;
	L=sqrt(a*a+b*b-2*a*b*cos(c/180*PI))+a+b;
	H=2*S/a;
	printf("%.6lf\n%.6lf\n%.6lf\n",S,L,H);
	return 0;
}