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<cmath>
#include<cstdio>

using namespace std;

int main () {
    double a, b, x, y;
    int C;
    cin >> a >> b >> C;
    x = cos(M_PI*C/180)*b*tan(M_PI*C/180);
    y = a-cos(M_PI*C/180)*b;
    printf("%.8f %.8f %.8f\n", sin(M_PI*C/180)*a*b/2, a+b+hypot(x,y) , x);
}