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