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 <cstdio>
#include <vector>
#include <complex>
#include <cmath>
using namespace std;
using xy_t = complex<double>;

int main(){
  vector<xy_t> V;
  double x_in, y_in;
  while(scanf("%lf,%lf", &x_in, &y_in) != EOF){
    V.push_back(xy_t(x_in, y_in));
  }
  int n = V.size();
  double sum = 0.0;
  for(int i=1;i<n-1;i++){
    xy_t vec[2] = {V[i] - V[0], V[i+1] - V[0]};
    sum += abs((conj(vec[0]) * vec[1]).imag() * 0.5);
  }
  cout << sum << endl;
}