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Cod sursa(job #914267)
#include <fstream>
#include <cmath>
#include <iomanip>
using namespace std;
ifstream f("arie.in");
ofstream g("arie.out");
struct puncte
{
double x;
double y;
};
puncte p[100001];
int i,n;
double arie;
int main()
{
f>>n;
for (i=0;i<=n-1;i++)
{
f>>p[i].x;
f>>p[i].y;
}
for (i=0;i<=n-1;i++)
{
arie=arie+(p[i].y+p[(i+1)%n].y)*(p[i].x-p[(i+1)%n].x)/2;
}
arie=abs(arie);
g<<setprecision(20)<<arie;
f.close();
g.close();
return 0;
}