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<cstdio>
using namespace std;

int main() {
	int a, b, C;
	double S, L, h, d;
	cin >> a >> b >> C;

	d = (acos(-1.0)*C) / 180.0;
	S = a*b*sin(d) / 2.0;
	L = a + b + sqrt(a*a + b*b - 2 * a*b*cos(d));
	h = b*sin(d);

	printf("%1f\n%1f\n%1f\n",S,L,h);

	return 0;
}