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>
#define PI 3.141592653589793

int main(){
    int a,b,c;
    double s,l,h;
    scanf("%d %d %d",&a,&b,&c);
    s = a*b*sin(c*PI/180)/2;
    l = sqrt(a*a+b*b-2*a*b*cos(c*PI/180))+a+b;
    h = b*sin(c*PI/180);
    printf("%f %f %f\n",s,l,h);
}