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<cstdio>
#include<iostream>
#include<cmath>
using namespace std;
int main(void)
{
	int a,b,C;
	double S,L,h,d;
	cin>>a>>b>>C;
	d=(acos(-1.0)*C)/180.0;//acos()は、余弦を表すcos()の逆関数
	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("%lf\n%lf\n%lf\n",S,L,h);
	return 0;
}