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<cmath>
int main(){
    double a,b,C;
    scanf("%lf %lf %lf", &a, &b, &C);
    double s=a*b*sin(C*M_PI/180)*0.5;
    double c=sqrt(a*a+b*b-2*a*b*cos(C*M_PI/180));
    printf("%.8lf\n",s);
    printf("%.8lf\n",a+b+c);
    printf("%.8lf\n",2*s/a);
    return 0;
}