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;
#define rep(i,n) for(int i=0; i<n; i++)
#define outwp10(i) cout<<fixed<<setprecision(10)<<i<<"\n";

int main()
{
  double a, b, t; cin>>a>>b>>t;
  t = t*2*M_PI/360;
  outwp10(abs(a*b)*0.5*sin(t));
  outwp10(pow(a*a+b*b-2*a*b*cos(t), 0.5) + a + b);
  outwp10(b*sin(t));
}