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 <cstdio>
#include <cmath>

int main()
{
    int a, b, C;

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

    printf("%lf\n", (double)1/2*a*b*sin(C*M_PI/180.0));
    printf("%lf\n", (double)a+b+sqrt(pow(a,2)+pow(b,2)-2*a*b*cos(C*M_PI/180.0)));
    printf("%lf\n", (double)b*sin(C*M_PI/180.0));
    return 0;
}