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<stdio.h>
#include<math.h>

int main(){
    int x,y,z;
    double rad;
    double s,l,h;
    scanf("%d %d %d",&x,&y,&z);
    rad=z*(M_PI/180);
    s=x*y*sin(rad)/2;
    l=x+y+sqrt(x*x+y*y-2*x*y*cos(rad));
    h=y*sin(rad);
    printf("%lf\n%lf\n%lf\n",s,l,h);
    return 0;
}