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(){
	double a,b,c,angle;
	cout<<fixed<<setprecision(4);
	cin >> a >> b >> angle;
	cout<<0.5*a*b*sin(angle*M_PI/180)<<endl;
	c=sqrt(a*a+b*b-2*a*b*cos(angle*M_PI/180));
	cout<<a+b+c<<endl<<(a*b*sin(angle*M_PI/180))/a<<endl;
}