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>
using namespace std;
int main() {
    double a, b, c, S, L, h;
    scanf("%lf %lf %lf", &a, &b, &c);
    L = a + b + sqrt((a*a)+(b*b)-(2*a*b*cos(M_PI*c/180)));
    h = sin(M_PI*c/180)*b;
    S = h*a*0.5;
    printf("%f %f %f\n", S, L, h);
}