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(){
long long a,b,c;
cin >> a >> b >> c;
long double arg=c*3.14159265358979/180;
long double S=a*b*sin(arg)/2;
long double L=a+b+sqrt(a*a+b*b-2*a*b*cos(arg));
long double h=b*sin(arg);
cout << fixed << setprecision(30)<< S << " "<<  L << " " << h;
}