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Cod sursa(job #914060)
#include <iostream>
#include <cstdio>
using namespace std;
double x[100001],y[100001];
int main()
{freopen("aria.in","r",stdin);
freopen("aria.out","w",stdout);
double s;
int n,i;
scanf("%d",&n);
for(i=1;i<=n;i++)
{scanf("%lf",&x[i]);
scanf("%lf",&y[i]);
}
x[n+1]=x[1];
y[n+1]=y[1];
for(i=1,s=0;i<=n;i++)
s+=(x[i]*y[i+1]-x[i+1]*y[i]);
if(s<0)
printf("%lf",-s/2);
else
printf("%lf",s/2);
return 0;
}