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 <iostream>
#include <cmath>
using namespace std;

int main()
{
  double a,b,C;
  cin >> a >> b >> C;
  double S=a*b*sin((C*M_PI)/180.0)/2.0;
  double L=a+b+sqrt(a*a+b*b-2*a*b*cos((C*M_PI)/180.0));
  double h=b*sin((C*M_PI)/180.0);

  cout << fixed << S << endl << L << endl << h << endl;
  return 0;
}