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>

using namespace std;

int main()
{
	double a,b,c,C;
	double S,L,h;

	cin>>a>>b>>C;
	
	h = b * sin( C * (M_PI / 180 ) );
	S = a*h/2;
	c =  a*a + b*b - 2*a*b*cos( C * (M_PI / 180 ));
	L = a+b+sqrt(c);

	cout.setf( ios::fixed );
	cout<<S<<endl<<L<<endl<<h<<endl;

	return 0;
}