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 <cmath>

int main(void)
{
  int a,b,C;
  double S,L,h,d,rad;

  scanf("%d %d %d", &a, &b, &C);
  rad=C/180.0*M_PI;

  S=a*b*sin(rad)/2;
  d=sqrt(a*a+b*b-2*a*b*cos(rad));
  L=a+b+d;
  h=2*S/a;

  printf("%f\n", S);
  printf("%f\n", L);
  printf("%f\n", h);

  return 0;
}