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>
#include<math.h>
#define pai 3.14159265358979
using namespace std;
int main(){
    double a,b,c;
    double s,h;
    cin>>a>>b>>c;
    s=(a*b*sin(c*pai/180))/(2);
    h=(s*2)/a;
    cout<<fixed<<setprecision(10)<<s<<" "<<sqrt(pow(a,2)+pow(b,2)-2*a*b*cos(c*pai/180))+a+b<<" "<<h<<endl;
}