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>
#include <iomanip>
using namespace std;
int main(void){
    int a,b,c;
    cin>>a>>b>>c;
    double PI=acos(-1);
    double rad=c*PI/180;
    cout<<fixed<<setprecision(5);
    cout<<a*b*sin(rad)/2<<endl<<a+b+sqrt(a*a+b*b-2*a*b*cos(rad))<<endl<<b*sin(rad)<<endl;
}