#include <iostream>
#include <iomanip>
#include <fstream>
#include <complex>
#include <vector>
#include <cstdlib>
#include <ctime>
using namespace std;

typedef complex<double> pt;

const double eps=1e-5;

int main()
{
  srand(time(NULL));
  cout<<setiosflags(ios::fixed)<<setprecision(10);
  ifstream cin("necklace.in");
  for(int n;cin>>n,n;){
    vector<pt> cs(n);
    vector<double> rs(n);
    for(int i=0;i<n;i++){
      double x,y;cin>>x>>y;
      cs[i]=pt(x,y);
    }

    for (int i=0;i<n;i++){
      rs[i]=abs(cs[(i+n-1)%n]-cs[i]);
      rs[i]>?=abs(cs[(i+1)%n]-cs[i]);
      rs[i]/=2;
    }

    int inps=0;
    {
    _loop:;
      /*
      for (int i=0;i<n;i++)
        cout<<"* "<<rs[i]<<endl;
      cout<<endl;
       */
      bool flg=false;
      for (int i=0;i<n;i++){
        int j=(i+1)%n;
        double rest=abs(cs[i]-cs[j])-rs[i]-rs[j]-eps;
        if (rest>0){
          double w=((double)(rand()%65536))/65536.0;
          w=0.5;
          rest+=eps/2.0;
          rs[i]+=rest*w;
          rs[j]+=rest*(1-w);
          //cout<<"tuketa"<<endl;
          //goto _loop;
          flg=true;
        }
      }

      for (int i=0;i<n;i++){
        for (int j=i+2;j<n;j++){
          if (i==0&&j==n-1) continue;
          double rest=abs(cs[i]-cs[j])-rs[i]-rs[j]+eps;
          if (rest<0){
            double w=((double)(rand()%65536))/65536.0;
            w=0.5;
            rest-=eps/2.0;
            rs[i]+=rest*w;
            rs[j]+=rest*(1-w);
            //cout<<"hagasita"<<endl;
            //goto _loop;
            flg=true;
          }
        }
      }
      inps++;
      if (flg) goto _loop;
    }
    //cout<<"*** inps "<<inps<<endl;
    static bool fst=true;
    if (fst) fst=false;
    else cout<<endl;

    for (int i=0;i<n;i++)
      cout<<rs[i]<<endl;
  }
  return 0;
}