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 <bits/stdc++.h>
using namespace std;

int main(){
	double a, b, c, C;
	double S,L,h;

	cin>>a>>b>>C;

	h = b*sin(C/180*M_PI);
	S = a * h / 2;
	c = sqrt((pow(a,2)+pow(b,2) - 2 * a * b * cos(C/180*M_PI)));
	L = a+b+c;

	printf("%10lf\n", S);
	printf("%10lf\n", L);
	printf("%10lf\n", h);
}