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()
{
	double a,b,C;
	double S,L,h;
	scanf("%lf%lf%lf",&a,&b,&C);
	S=0.5*a*b*sin(M_PI*C/180);
	L=sqrt(a*a+b*b-2*a*b*cos(M_PI*C/180))+a+b;
	h=S*2/a;
	printf("%.20lf\n%.20lf\n%.20lf\n",S,L,h);
	return 0;
}