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<iomanip>
#include<math.h>

#define PI M_PI

using namespace std;

int main()
{

    double a,b,c;

    cin>>a>>b>>c;

    cout<<fixed<<setprecision(5)<<
    a*b*sin(c*PI/180)/2<<endl<<
    a+b+sqrt(a*a+b*b-2*a*b*cos(c*PI/180))<<endl<<
    b*sin(c*PI/180)<<endl;

    return 0;
}