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,C;
	double S,L,h;
	
	cin >> a >> b >> C ;
	
	C = C * 3.14159265359 / 180;
	
	h = b*sin(C);
	L = a + b + sqrt(pow(b*cos(C)-a,2) + pow(b*sin(C),2));
	S = a * h / 2;
	printf("%f\n%f\n%f\n",S,L,h);
	return 0;
}