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<iostream>
#include<math.h>
#include<iomanip>
using namespace std;

int main(){

double a,b,c;
double s,l,h;

cin>>a>>b>>c;
c=M_PI/180*c;
s=0.5*a*b*sin(c);
l=a+b+sqrt(pow(a,2)+pow(b,2)-2*a*b*cos(c));
h=b*sin(c);

cout<<fixed<<s<<endl<<l<<endl<<h<<endl;
}
