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 <bits/stdc++.h>

using namespace std;

int main()
{
  double a, b, C, S = 0, L = 0, h = 0, rad;

  scanf("%lf %lf %lf", &a, &b, &C);

  rad = C * acos(-1) / 180;

  h = b * sin(rad);

  S = a * h / 2;

  L = sqrt(pow(a, 2) + pow(b, 2) - (2 * a * b * cos(rad))) + a + b;

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