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 <bits/stdc++.h>
#define PI 3.141592653589793
using namespace std;

int main() {
	// your code goes here
	int a,b,C;
	cin >> a >> b >> C;
	double c = C/180.0*PI;
	double S = a*b*sin(c)/2.0;
	double L = a+b+sqrt(a*a+b*b-2*a*b*cos(c));
	double h = b*sin(c);
	printf("%.6lf\n%.6lf\n%.6lf\n",S,L,h);
	return 0;
}