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Cod sursa(job #902232)
#include <iostream>
#include <fstream>
#include <iomanip>
using namespace std;
ifstream in("aria.in");
ofstream out("aria.out");
struct poz {double x;double y;}v[100010];
int i,n;
double a;
int main()
{
in>>n;
for(i=1;i<=n;i++)
in>>v[i].x>>v[i].y;
v[n+1].x=v[1].x;
v[n+1].y=v[1].y;
for(i=1;i<=n;i++)
a+=v[i].x*v[i+1].y-v[i].y*v[i+1].x;
a=a/2;
if(a<0)
a=-a;
out<<fixed<<setprecision(10)<<a<<'\n';
in.close();
out.close();
return 0;
}