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 <cstdio>
#include <cmath>

int main(){
    int a,b,C;
    scanf("%d %d %d",&a,&b,&C);
    double r=C*M_PI/180;  //????????¢????????????
    double S,L,h;
    S=a*b*sin(r)/2;
    L=sqrt(a*a+b*b-2*a*b*cos(r))+b+a;
    h=b*sin(r);
    printf("%.8f %.8f %.8f\n",S,L,h);
    return 0;
}