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>
#define ll long long

using namespace std;

int main(){
	double a,b,l,co,s,h;
	
	cin>>a>>b>>co;
	
	s=(a*b*sin(co/(180/3.14159265)))/2;
	
	l=a*a+b*b-2*a*b*cos(co/(180/3.14159265));
	l=sqrt(l);
	l+=a+b;
	h=2*s/a;
	
	printf("%8lf\n",s);
	printf("%8lf\n",l);
	printf("%8lf\n",h);
}