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Cod sursa(job #762265)
#include<fstream>
#include<iomanip>
#include<cmath>
using namespace std;
int N;
double x[50005],y[50005],daux;
double dist(double x1,double x2,double y1,double y2)
{ double dx=x2-x1,dy=y2-y1;
return sqrt((dx*dx)+(dy*dy));
}
double verific(double midx,double midy){
daux=0;
for(int i=1;i<=N;++i)
daux+=dist(x[i],midx,y[i],midy);
return daux;
}
int main(void){
ifstream fin("adapost2.in");
ofstream fout("adapost2.out");
int i,ch;
double xmax=-1,xmin=1001,ymax=-1,ymin=1001;
double midx,midy,pasx;
fin>>N;
for(i=1;i<=N;++i)
{
fin>>x[i]>>y[i];
if(x[i]>xmax)xmax=x[i];
if(x[i]<xmin)xmin=x[i];
if(y[i]>ymax)ymax=y[i];
if(y[i]<ymin)ymin=y[i];
}
midx=xmin; midy=ymin; pasx=512;
while(pasx>=0.0001){
ch=0;
if(verific(midx+pasx,midy)<verific(midx,midy)){ midx+=pasx; continue; }
if(verific(midx,midy+pasx)<verific(midx,midy)){ midy+=pasx; continue; }
if(verific(midx-pasx,midy)<verific(midx,midy)){ midx-=pasx; continue; }
if(verific(midx,midy-pasx)<verific(midx,midy)){ midy-=pasx; continue; }
if(!ch)pasx/=2;
}
fout<<setprecision(4)<<fixed;
fout<<midx<<' '<<midy<<'\n';
return 0;
}