#include <iostream>
#include <vector>
#include <cmath>
using namespace std;
 
int main()
{
    int n;
    double suma=0;
 
    cout<<"Introduzca el numero de vertices del poligono: ";
    cin>>n;
 
    vector<double> x(n), y(n);
 
    cout << "Introduzca las coordenadas (x, y) de cada vértice:\n";
 
    for (int i = 0; i < n; i++) {
        cout << "Vértice " << i + 1 << ": ";
        cin >> x[i] >> y[i];
    }
 
    for (int i = 0; i < n; i++) {
        int j = (i + 1) % n;
        suma += (x[i] * y[j]) - (x[j] * y[i]);
    }
 
    double area = 0.5 * fabs(suma);
    cout << "El area del polígono asignado es: " << area << endl;
 
    return 0;
}

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