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>

using namespace std;

int main(){
	int a,b,c;
	cin >> a >> b >> c;
	double s,l,h;
	s=0.5*a*b*sin((double)c*M_PI/180);
	l=a+b+sqrt(a*a+b*b-2*a*b*cos(c*M_PI/180));
	h=2*s/a;
	printf("%f\n%f\n%f\n",s,l,h);
	return 0;
}