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 pi,a,b,C,S,L,h,c;
	cin >> a>>b >>C ;
	c = C*3.1415926535*2.0/360.0;
	S =1.0/2.0*sin(c)*a*b;
	L =sqrt(a*a+b*b-2.0*a*b*cos(c))+a+b;
	h =b*sin(c);
	printf("%.8f %.8f %.8f\n",S,L,h);
	return 0;
}