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Cod sursa(job #977101)
#include<cstdio>
#include<cmath>
int n,i;
struct P
{
double x,y;
}v[100005];
double s;
int main()
{
freopen("aria.in","r",stdin),
freopen("aria.out","w",stdout),
scanf("%d",&n);
for(i=0;i<n;++i)
scanf("%lf%lf",&v[i].x,&v[i].y);
for(v[n]=v[0],i=0;i<n;++i)
s+=(v[i].x*v[i+1].y-v[i+1].x*v[i].y);
printf("%.5lf",fabs(s/2.0));
return 0;
}