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 <string>
#include <cmath>
using namespace std;
int main(){
  double s,l,h,PI=acos(-1),cRad;
  int a,b,c;
  cin>>a>>b>>c;
  cRad=PI*c/180;
  s=a*b*sin(cRad)/2;
  l=a+b+sqrt(a*a+b*b-2*a*b*cos(cRad));
  h=b*sin(cRad);
  cout<<fixed<<s<<' '<<l<<' '<<h<<' '<<endl;
}