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Cod sursa(job #929938)
#include<fstream>
#include<iomanip>
#include<cmath>
using namespace std;
struct point{ double x,y; };
point a[100005];
int main(){
ifstream cin("aria.in");
ofstream cout("aria.out");
int N,i; double sol=0;
cin>>N;
for(i=1;i<=N;++i)cin>>a[i].x>>a[i].y;
a[N+1]=a[1];
for(i=1;i<=N;++i) sol+=(a[i].x*a[i+1].y - a[i+1].x*a[i].y);
sol=abs(sol/2.0);
cout<<setprecision(5)<<fixed;
cout<<sol;
return 0;
}