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
#include<bits/stdc++.h>
using namespace std;

int main(){

cout<<fixed<<setprecision(12);
double a,b,C,h;
cin>>a>>b>>C;
C=C*acos(-1)/180;
h=b*sin(C);
double c=sqrt(a*a+b*b-2*a*b*cos(C));

cout<<a*h/2<<endl<<a+b+c<<endl<<h<<endl;


return 0;
}
