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:
#define _USE_MATH_DEFINES
#include<cmath>
#include<cstdio>

int main(void){
	double a, b, c, s, l, h;
	scanf("%lf%lf%lf", &a, &b, &c);
	c=c*M_PI/180;
	h=b*sin(c);
	l=a+b+sqrt(a*a+b*b-2*a*b*cos(c));
	s=a*h/2;
	printf("%f\n%f\n%f\n", s, l, h);
	return(0);
}