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=0,b=0,rad=0;
	int c=0;

	scanf("%lf",&a);
	scanf("%lf",&b);
	scanf("%d",&c);

	rad=c*(M_PI/180);
	printf("%.8lf\n",(a*b*sin(rad))/2);
	printf("%.8lf\n",a+b+sqrt(a*a+b*b-2*a*b*cos(rad)));
	printf("%.8lf\n",b*sin(rad));
	return 0;
}