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(){
  int a, b, c;
  scanf("%d %d %d", &a, &b, &c);
  double d = c * acos(-1) / 180;
  double s = a * b * sin(d) / 2;
  double h = b * sin(d);
  double l = sqrt(pow(h,2) + pow(a - b * cos(d),2))
             + a + b;
  
  printf("%f\n%f\n%f\n", s, l, h);

  return 0;
}