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>
#include <iostream>
using namespace std;

int main(){
	
	float a, b, c;
	cin>>a>>b>>c;
	c = c*3.14159265358979323846/180;
	float d = sqrt(a*a+b*b-2*a*b*cos(c));
	printf("%.8lf\n%.8lf\n%.8lf",0.5*a*b*sin(c), (a+b+d), b*sin(c));
	
	return 0;
}