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(){
int a,b,angle;
  cin>>a>>b>>angle;
  double s,l,h;
  s=a*b*sin(angle*2*M_PI/360)/2;
 double c;
  c=sqrt(a*a+b*b-2*a*b*cos(angle*2*M_PI/360));
  l=a+b+c;
  h=b*sin(angle*2*M_PI/360);
   cout << fixed << setprecision(10);
  cout<<s<<endl<<l<<endl<<h<<endl;
}