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>
using namespace std;

int main(void){
	int a,b,c;
	cin>>a>>b>>c;
	double C = 3.1415926535*c/180;
	double cl = sqrt(a*a+b*b-2*b*a*cos(C));
	double S = a*b*sin(C)/2;
	cout <<setprecision(10)<<S<<endl;
	cout <<setprecision(10)<<a+b+cl<<endl;
	cout << setprecision(10)<<2*S/a<<endl;
}