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<iostream>
#include<cmath>
#include<cstdio>
using namespace std;

int main(){
    int a,b,c;
    double s,l,h;
    cin>>a>>b>>c;
    double PI=acos(-1);
    double d=c*PI/180;
    s=0.5*a*b*sin(d);
    l=sqrt(a*a+b*b-2*a*b*cos(d))+a+b;
    h=b*sin(d);
    printf("%lf\n%f\n%f\n",s,l,h);
    return 0;
    
    
}