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(){
    double a,b,t;
    scanf("%lf%lf%lf",&a,&b,&t);
    printf("%lf\n%lf\n%lf\n",(sin(t*3.14159265359/180)*a*b)/2,a+b+sqrt(a*a+b*b-2*a*b*cos(t*3.14159265359/180)),sin(t*3.14159265359/180)*b);
}