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<math.h>
#define PI 3.141592/180
using namespace std;

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

	cin >> a >> b >>C;

	h = b * sin(C*PI);

	S = a * h / 2;

	L = sqrt((a*a)+(b*b)-(2*a*b*cos(C*PI))) + a + b;

	cout << S << ' ' << L << ' ' << h << endl ;

	return 0;
}