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<cstdio>
#include<cmath>
using namespace std;
int main(){
	int a,b,C;
	cin >> a >> b >> C;
	printf("%.4f\n%.4f\n%.4f\n"
			,a*b*sin((double)C/180*M_PI)/2
			,a+b+sqrt((double)pow(a,2)+pow(b,2)-2*a*b*cos((double)C/180*M_PI))
			,b*sin((double)C/180*M_PI));
	return 0;
}