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;
#define PI 3.14159265359
int main(){
	double a,b,C;
	cin>>a>>b>>C;
	C=C/180*PI;
	printf("%.6f\n%.6f\n%.6f\n",a*b*sin(C)*0.5,sqrt(a*a+b*b-2*a*b*cos(C))+a+b,b*sin(C));
	return 0;
}