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 <stdio.h>
using namespace std;

int main(){
	double a,b,c,d,s,L,h;

	cin>>a>>b>>c;

	s=0.5*a*b*sin(c*M_PI/180);
	printf("%.10f\n",s);
	h=2*s/a;
	

	d=sqrt(a*a+b*b-2*a*b*cos(c*M_PI/180));

		L=a+b+d;
	printf("%.10f\n",L);		
	printf("%.10f\n",h);

}