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() {
    double a,b,c,C,s,l,h,p=3.141592653589; cin>>a>>b>>C;
    s = a*b*sin(C*p/180)/2;
    c = a*a+b*b-(2*a*b*cos(C*p/180));
    c = pow(c,0.5);
    l = a+b+c;
    h = s*2/a;
    cout<<setprecision(12)<<s<<" "<<l<<" "<<h<<endl;
}