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;
#define rep(i,a,b) for(int i=(a);i<(b);i++)
#define REP(i,n) rep(i,0,n)

int main()
{
    double a,b,c;
    cin>>a>>b>>c;
    cout<<fixed<<setprecision(6)<<a*b*sin(c/180*M_PI)/2<<endl<<a+b+sqrt(a*a+b*b-2*a*b*cos(c/180*M_PI))<<endl<<b*sin(c/180*M_PI)<<endl;
}