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() {
	double A,B,C;
	double d;
	cin>>A>>B>>C;
	d=(acos(-1)*C)/180;
	printf("%lf\n",A*B*sin(d)/2);
	printf("%lf\n",A+B+sqrt(A*A+B*B-2*A*B*cos(d)));
	printf("%lf\n",B*sin(d));
}