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 a,b,c;
 double C,s,l,h,rad;

scanf("%d%d%d",&a,&b,&c);

 rad=c*3.14159265359/180;

C=sqrt(a*a+b*b-2*a*b*cos(rad));


l=a+b+C;

s=0.5*a*b*sin(rad);

h=2*s/a;

printf("%lf\n",s);
printf("%lf\n",l);
printf("%lf\n",h);

return 0;
}