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<algorithm>
#include<cmath>
using namespace std;
int main(void)
{
	double a,b,c,s,l,h,rd,l2;
	scanf("%lf %lf %lf",&a,&b,&c);
	rd=c*M_PI/180.0;
	s=a*b*sin(rd)/2.0;
	l2=a*a+b*b-2.0*a*b*cos(rd);
	l=a+b+sqrt(l2);
	h=s*2.0/a;
	printf("%lf\n",s);
	printf("%lf\n",l);
	printf("%lf\n",h);
	return 0;
}