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Cod sursa(job #925946)
#include <cstdio>
using namespace std;
int main()
{
freopen("aria.in","r",stdin);
freopen("aria.out","w",stdout);
int n,i;
double A=0.00,x[100005],y[100005];
scanf("%d",&n);
for (i=1;i<=n;i++)
scanf("%lf %lf",&x[i],&y[i]);
x[i]=x[1];
y[i]=y[1];
for (i=1;i<=n;i++)
A+=(double)((double)x[i]*y[i+1]-(double)x[i+1]*y[i]);
A=(double)A/2;
printf("%.6lf",A);
fclose(stdin);
fclose(stdout);
return 0;
}