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 S,L,h,x,y;
  int a,b,c;
  double pai=3.141592653589;

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

  x=c*pai/180;
  y=sqrt(a*a+b*b-2*a*b*cos(x));
  h=b*sin(x);
  printf("%.8lf\n%.8lf\n%.8lf\n",h*a/2,a+b+y,h);

  return 0;
}