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(){
    cout<<fixed<<setprecision(12);
    double a,b,C;
    cin>>a>>b>>C;
    double PI=acos(-1.0);
    C=C/180.0*PI;
    cout<<a*b*sin(C)/2.0 <<endl;
    double cc=a*a+b*b-2*a*b*cos(C);
    cout<< a+b+sqrt(cc) <<endl;
    cout<<b*sin(C)<<endl;
    return 0;
}