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<stdio.h>

int main() {

	double a,b,c,rad;
	double PI = acos(-1);
	std::cin >> a >> b >> c;
	rad = c * PI / 180;

	printf("%8f\n", (b * a * sin(rad)) / 2);
	printf("%8f\n", a+b+sqrt(pow(b-a*cos(rad),2)+pow(a*sin(rad),2)));
	printf("%8f\n", b * sin(rad));
}