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(){
  int a,b,c;
  double theta, S, L, h;

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


  theta = c*3.14159265358979/180.0;
  
  S = a*b*sin(theta)/2.0;

  L = sqrt(a*a + b*b - 2*a*b*cos(theta)) + a + b;

  h = b*sin(theta);
  
  printf("%lf\n%lf\n%lf\n", S, L, h);
  
  return 0;
}