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
#include <stdio.h>
#include<math.h>
int main(void){
   double a,b,c,s,l,h;
   scanf("%lf%lf%lf",&a,&b,&c);
   c*=3.14159265358979;
   c/=180;
   s=a*b*sin(c)/2;
   l=sqrt(a*a+b*b-2*a*b*cos(c))+a+b;
   h=2*s/a;
   printf("%lf\n%lf\n%lf\n",s,l,h);
    return 0;
}