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Cod sursa(job #936524)
#include <iostream>
#include <fstream>
#include <iomanip>
using namespace std;
ifstream in("aria.in");
ofstream out("aria.out");
int main()
{
int n;
in>>n;
long double x1,x2,y1,y2,totalarea=0;
in>>x1>>y1;
long double fx1=x1,fy1=y1;
for(int i=2;i<=n;in>>x2>>y2,totalarea+=(y1+y2)*(x1-x2),x1=x2,y1=y2,++i);
x2=fx1,y2=fy1,totalarea+=(y1+y2)*(x1-x2);
out<<std::fixed<<std::setprecision(5)<<totalarea/2;
return 0;
}