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Cod sursa(job #945911)
#include<fstream>
#define punct pair<double,double>
#define x first
#define y second
using namespace std;
ifstream f("aria.in");
ofstream g("aria.out");
int i,n;
punct v[100100];
inline double abs(double x)
{
if(x<0)
return -x;
return x;
}
double aria;
int main()
{
f>>n;
for(i=1;i<=n;++i)
f>>v[i].x>>v[i].y;
v[n+1]=v[1];
v[0]=v[n];
for(i=1;i<=n;++i)
aria=aria+1.0*v[i].x*(v[i-1].y-v[i+1].y);
aria/=2;
aria=abs(aria);
g<<aria<<'\n';
return 0;
}