// Slower C++ solution:
#include <bits/stdc++.h>

#define double long double

using namespace std;



const double INF = 1e9;

const double EPS = 1e-11;



// ????¬????

struct P3{

  double x,y,z;

  double vx,vy,vz;

  double r,vr;

  P3(double x=0, double y=0, double z=0):x(x),y(y),z(z){}

  P3 operator + (const P3 &a) const{ return P3(x+a.x, y+a.y, z+a.z); }

  P3 operator - (const P3 &a) const{ return P3(x-a.x, y-a.y, z-a.z); }

  P3 operator * (const double &c) const{ return P3(x*c, y*c, z*c); }

  void input(){cin>>x>>y>>z>>vx>>vy>>vz>>r>>vr;}

  P3 v ()const{return P3(vx,vy,vz);}

};

P3 operator * (double c, const P3 &a){ return P3(c * a.x, c * a.y, c * a.z); }





double norm(P3 a){ return a.x*a.x + a.y*a.y + a.z*a.z; }

double abs(P3 a){ return sqrt(norm(a)); }



typedef pair<int,int> P;

typedef pair<double,P> PP;



double calc(P3 A,P3 B,double t){

  if((A.r-t*A.vr)<0|| (B.r-t*B.vr)<0) return -1;

  return abs((A+t*A.v())-(B+t*B.v())) - ((A.r-t*A.vr) + (B.r-t*B.vr));

}



double calc(P3 A,P3 B){

  double L=0,R=INF,cnt = 200;

  while(cnt--){

    double M = (L+R)/2;

    double y1 = calc(A,B,M);

    double y2 = calc(A,B,M+EPS);

    if(y1<0||y1-y2<0) R = M;

    else L = M+EPS;

  }

  return L;

}



int main(){

  int n;

  while(cin>>n,n){

    vector<P3>A(n);

    for(int i=0;i<n;i++) A[i].input();



    priority_queue<PP,vector<PP>,greater<PP> >Q;

    for(int i=0;i<n;i++)

      for(int j=i+1;j<n;j++){

	double t = calc(A[i],A[j]);

	if(abs(calc(A[i],A[j],t))<2e-8)Q.push(PP(t,P(i,j)));

      }



    vector<double> ans(n,-1);

    while(!Q.empty()){

      PP t = Q.top();Q.pop();

      double c = t.first;

      int a = t.second.first;

      int b = t.second.second;

      if(ans[a]>=0||ans[b]>=0)continue;

      ans[a] = ans[b] = c;

    }



    for(int i=0;i<n;i++){

      if(ans[i]<0) ans[i] = A[i].r / A[i].vr;

      ans[i] = min(ans[i],A[i].r / A[i].vr);

      printf("%.10Lf\n",ans[i]);

    }    

    

  }

  return 0;    

}

// Faster C++ solution for the same problem (measured speedup: 2.2756973346528655x):
#include <bits/stdc++.h>

#define double long double

using namespace std;

const double INF = 3e3;

const double EPS = 1e-11;



// ????¬????

struct P3{

  double x,y,z;

  double vx,vy,vz;

  double r,vr;

  P3(double x=0, double y=0, double z=0):x(x),y(y),z(z){}

  P3 operator + (const P3 &a) const{ return P3(x+a.x, y+a.y, z+a.z); }

  P3 operator - (const P3 &a) const{ return P3(x-a.x, y-a.y, z-a.z); }

  P3 operator * (const double &c) const{ return P3(x*c, y*c, z*c); }

  void input(){scanf("%Lf%Lf%Lf%Lf%Lf%Lf%Lf%Lf",&x,&y,&z,&vx,&vy,&vz,&r,&vr);};

  P3 v ()const{return P3(vx,vy,vz);}

};

P3 operator * (double c, const P3 &a){ return P3(c * a.x, c * a.y, c * a.z); }





double norm(const P3 &a){ return a.x*a.x + a.y*a.y + a.z*a.z; }

double abs(const P3 &a){ return sqrt(norm(a)); }



typedef pair<int,int> P;

typedef pair<double,P> PP;



double calc(const P3 &A,const P3 &B,double t){

  if((A.r-t*A.vr)<0|| (B.r-t*B.vr)<0) return -1;

  return abs((A+t*A.v())-(B+t*B.v())) - ((A.r-t*A.vr) + (B.r-t*B.vr));

}



double calc(const P3 &A,const P3 &B){

  double L=0,R=INF,cnt = 65;

  while(cnt--){

    double M = (L+R)/2;

    double y1 = calc(A,B,M);

    double y2 = calc(A,B,M+EPS);

    if(y1<0||y1-y2<0) R = M;

    else L = M+EPS;

  }

  return L-EPS;

}



int main(){

  int n;

  while(cin>>n,n){

    vector<P3>A(n);

    for(int i=0;i<n;i++) A[i].input();



    priority_queue<PP,vector<PP>,greater<PP> >Q;

    for(int i=0;i<n;i++)

      for(int j=i+1;j<n;j++){

	double t = calc(A[i],A[j]);

	if(abs(calc(A[i],A[j],t))<2e-8)Q.push(PP(t,P(i,j)));

      }



    vector<double> ans(n,-1);

    while(!Q.empty()){

      PP t = Q.top();Q.pop();

      double c = t.first;

      int a = t.second.first;

      int b = t.second.second;

      if(ans[a]>=0||ans[b]>=0)continue;

      ans[a] = ans[b] = c;

    }



    for(int i=0;i<n;i++){

      if(ans[i]<0) ans[i] = A[i].r / A[i].vr;

      ans[i] = min(ans[i],A[i].r / A[i].vr);

      printf("%.10Lf\n",ans[i]);

    }    

    

  }

  return 0;    

}