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Cod sursa(job #898515)
#include <fstream>
using namespace std;
ifstream f("aria.in");
ofstream g("aria.out");
struct point{
double x, y;
}v[100001];
double s;
int n;
void read()
{
f>>n;
for(int i=0; i<n; ++i) f>>v[i].x>>v[i].y;
v[n].x=v[0].x;
v[n].y=v[0].y;
v[n+1].x=v[1].x;
v[n+1].y=v[1].y;
}
void solve()
{
int i;
for(i=1; i<=n; ++i)
s += v[i].x*(v[i+1].y-v[i-1].y);
}
int main()
{
read();
solve();
g<<s/2.0<<"\n";
}