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
#include <iostream>
#include <math.h>
#include <cstdio>
using namespace std;

int main(){
	double a,b,c,s,l,h;
	cin >> a >> b >> c;
	s=0.5*a*b*sin((M_PI*c*1.0)/180);
	l=a+b+sqrt(pow(a,2.0)+pow(b,2.0)-2*a*b*cos((M_PI*c*1.0)/180));
	h=b*sin((M_PI*c*1.0)/180);
	printf("%.8f\n%.8f\n%.8f\n",s,l,h);
}