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<iostream>
#include<string>
#include<algorithm>
#include <math.h>
#define PI 3.14159265

int main(){
    double a,b,c;
    std::cin>>a>>b>>c;
    double d=sqrt(a*a+b*b-2*a*b*cos(c*PI/180));
    printf("%f\n", a*b*sin(c*PI/180)/2);
    printf("%f\n", a+b+d);
    printf("%f\n", b*sin(c*PI/180));
}