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<cstdio>
#include<cmath>

int main(void){
double a,b,C;
long double S,c,h;
scanf("%lf%lf%lf",&a,&b,&C);
C=C*3.1415926535897932384/180;
S=a*b*sin(C)*0.50;
c=sqrt(a*a+b*b-2*a*b*cos(C));
h=2*S/a;
printf("%Lf\n%Lf\n%Lf\n",S,a+b+c,h);
return 0;
}