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<complex>
#include<cmath>
#include<stdio.h>
using namespace std;
typedef complex<double> xy_t;
xy_t P[110];
int main(){
    int N;
    double x,y;
    while(scanf("%lf,%lf",&x,&y)!=EOF){
        P[N++]=xy_t(x,y);
    }
    double sum=0.0;
    for(int i=0;i<N-2;++i){
        xy_t a=P[0],b=P[i+1],c=P[i+2];
        double d1=abs(b-a),d2=abs(c-b),d3=abs(a-c);
        double z=(d1+d2+d3)/2.0;
        sum+=sqrt(z*(z-d1)*(z-d2)*(z-d3));
    }
    printf("%.6f\n",abs(sum));
}