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, rad;
	cin >> a >> b >> rad;
	rad = rad/180*M_PI;
	cout << fixed << setprecision(5) << a*sin(rad)*b/2 << '\n'
	<< a+b+sqrt(pow(a, 2)+pow(b, 2)-2*a*b*cos(rad)) << '\n'
	<< b*sin(rad) << endl;
	return 0;
}