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Cod sursa(job #919495)
#include <cstdio>
using namespace std;
double x[100010],y[100010];
int main()
{
freopen("aria.in","r",stdin);
freopen("aria.out","w",stdout);
int n,i;
double aria=0;
scanf("%d",&n);
for(i=1;i<=n;++i)
scanf("%lf%lf",&x[i],&y[i]);
for(i=1;i<n;i++)
aria+=(x[i]*y[i+1]-x[i+1]*y[i]);
aria+=(x[n]*y[1]-x[1]*y[n]);
printf("%.5lf",aria/2.0);
return 0;
}