Problem: Write a program that reads the coordinates of the vertices of a convex n-sided polygon (a polygon whose internal angles are less than 180 degrees, that is, a polygon that is not dented) and outputs its area. The vertices are named Vertex 1, Vertex 2, Vertex 3, ... Vertex n according to the order of edge connections.

However, n is 3 or more and 20 or less. You can also use the following formula to find the area S from the lengths a, b, and c of the three sides of the triangle.

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input

The input is given in the following format:


x1, y1
x2, y2
::
xn, yn


xi and yi are real numbers that represent the x and y coordinates of vertex i, respectively.

output

Outputs the area S (real number) on one line. The output can contain an error of 0.000001 or less.

Example

Input

0.0,0.0
0.0,1.0
1.0,1.0
2.0,0.0
1.0,-1.0


Output

2.500000

Solution (in CPP):

Solution:
#include<iostream>
#include<math.h>
#include<stdio.h>

#define FOR(i,j,k) for((i)=(j);(i)<(k);i++)

using namespace std;

int main(void)
{
	int n=0;
	double x[20],y[20];
	double ans=0;
	while(scanf("%lf,%lf",&x[n],&y[n])!=EOF) n++;
	for(int i=1;i<=n-2;i++){
		double a=sqrt((x[0]-x[i])*(x[0]-x[i])+(y[0]-y[i])*(y[0]-y[i]));
		double b=sqrt((x[i]-x[i+1])*(x[i]-x[i+1])+(y[i]-y[i+1])*(y[i]-y[i+1]));
		double c=sqrt((x[i+1]-x[0])*(x[i+1]-x[0])+(y[i+1]-y[0])*(y[i+1]-y[0]));
		double z=(a+b+c)/2;
		double s=sqrt(z*(z-a)*(z-b)*(z-c));
		ans+=s;
	}
	cout<<ans<<endl;
}