#include <bits/stdc++.h>
using namespace std;

template<class T>
bool chmax(T& a, const T& b) {
    if (a < b) { a = b; return true; }
    return false;
}
template<class T>
bool chmin(T& a, const T& b) {
    if (b < a) { a = b; return true; }
    return false;
}

// std::vector Declaration
template<typename T>
vector<T> make_v(size_t a) { return vector<T>(a); }
template<typename T, typename... Ts>
auto make_v(size_t a, Ts... ts) {
    return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}

// std::vector Declaration and Initialization
template<typename T>
vector<T> make_vector(size_t a, T x) { return vector<T>(a, x); }
template<typename T, typename U, typename... Ts>
auto make_vector(size_t a, U b, Ts... ts) {
    return vector<decltype(make_vector<T>(b,ts...))>(a, make_vector<T>(b, ts...));
}

// std::vector Input
template<typename T>
istream& operator>>(istream& is, vector<T>& v) {
    for (auto &e : v) is >> e;
    return is;
}

// std::vector Debug
template<typename T>
ostream& operator<<(ostream& os, const vector<T>& v) {
    os << "[";
    bool a = 1;
    for (auto e : v) {
        os << (a ? "" : " ");
        os << e;
        a = 0;
    }
    os << "]";
    return os;
}

// std::array Debug
template<typename T, size_t n>
ostream& operator<<(ostream& os, const array<T, n>& v) {
    os << "[";
    bool a = 1;
    for (auto e : v) {
        os << (a ? "" : " ");
        os << e;
        a = 0;
    }
    os << "]";
    return os;
}

// std::deque Debug
template<typename T>
ostream& operator<<(ostream& os, const deque<T>& d) {
    os << "[";
    bool a = 1;
    for (auto e : d) {
        os << (a ? "" : " ");
        os << e;
        a = 0;
    }
    os << "]";
    return os;
}

// std::pair Debug
template<typename T, typename U>
ostream& operator<<(ostream& os, const pair<T, U>& p) {
    os << "(" << p.first << " " << p.second << ")";
    return os;
}

// std::set Debug
template<typename T>
ostream& operator<<(ostream& os, const set<T>& st) {
    os << "{";
    bool a = 1;
    for (auto e : st) {
        os << (a ? "" : " ");
        os << e;
        a = 0;
    }
    os << "}";
    return os;
}

// std::multiset Debug
template<typename T>
ostream& operator<<(ostream& os, const multiset<T>& st) {
    os << "{";
    bool a = 1;
    for (auto e : st) {
        os << (a ? "" : " ");
        os << e;
        a = 0;
    }
    os << "}";
    return os;
}

// std::map Debug
template<typename T, typename U>
ostream& operator<<(ostream& os, const map<T, U>& mp) {
    os << "{";
    bool a = 1;
    for (auto e : mp) {
        os << (a ? "" : " ");
        os << e.first << ":" << e.second;
        a = 0;
    }
    os << "}";
    return os;
}

// std::tuple Debug
template<int N, class Tuple>
void out(ostream& os, const Tuple& t){}
template<int N, class Tuple, class H, class ...Ts>
void out(ostream& os, const Tuple& t) {
    if (N) os << " ";
    os << get<N>(t);
    out<N+1,Tuple,Ts...>(os, t);
}
template<class ...Ts>
ostream& operator<<(ostream& os, const tuple<Ts...>& t) {
    os << "(";
    out<0,tuple<Ts...>,Ts...>(os, t);
    os << ")";
    return os;
}

// Debug
#define DUMP(x) cerr<<#x<<" = "<<(x)<<endl

// Weighted edge
template<typename T>
struct edge {
    int src, to;
    T cost;

    edge() {}
    edge(int to, T cost) : src(-1), to(to), cost(cost) {}
    edge(int src, int to, T cost) : src(src), to(to), cost(cost) {}

    friend ostream& operator<<(ostream& os, const edge& e) {
        return os << "(" << e.src << "->" << e.to << ":" << e.cost << ")";
    }
};

using LL = int64_t;

#define fs first
#define sc second

const int64_t MOD = 1e9+7;


using Real = double;
const Real EPS = 1e-8, PI = acos(-1);

struct Point3D {
    double x, y, z;
    Point3D() {}
    Point3D(double x, double y, double z) : x(x), y(y), z(z) {}
    Point3D operator+(const Point3D& b) const {
        return Point3D(x + b.x, y + b.y, z + b.z);
    }
    Point3D operator-(const Point3D& b) const {
        return Point3D(x - b.x, y - b.y, z - b.z);
    }
    friend double norm(const Point3D& p) {
        return p.x * p.x + p.y * p.y + p.z * p.z;
    };
    friend double abs(const Point3D& p) { return sqrt(norm(p)); }

    friend ostream &operator<<(ostream &os, Point3D &p) {
        return os << "(" << p.x << "," << p.y << "," << p.z << ")";
    }
    friend istream &operator>>(istream &is, Point3D &p) {
        return is >> p.x >> p.y >> p.z;
    }
};

double dot(const Point3D &a, const Point3D &b) {
    return a.x * b.x + a.y * b.y + a.z * b.z;
}

struct Event {
    double t;
    int i, j;
};

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);

    while (true) {
        int n; cin >> n;
        if (n == 0) break;
        vector<Point3D> p(n), v(n);
        vector<Real> r(n), vr(n);
        for (int i = 0; i < n; ++i) {
            double px, py, pz, vx, vy, vz;
            cin >> px >> py >> pz >> vx >> vy >> vz >> r[i] >> vr[i];
            p[i] = { px, py, pz };
            v[i] = { vx, vy, vz };
        }

        vector<Event> event;

        for (int i = 0; i < n; ++i) {
            for (int j = i+1; j < n; ++j) {
                Point3D dp = p[i] - p[j],
                        dv = v[i] - v[j];
                Real rs = r[i] + r[j],
                     vrs = vr[i] + vr[j];
                Real a = dot(dv, dv) - vrs * vrs,
                     b = dot(dp, dv) + rs * vrs,
                     c = dot(dp, dp) - rs * rs;

                Real D = b * b - a * c;
                if (D < 0) {
                    continue;
                }
                Real t0 = (-b - sqrt(D)) / a,
                     t1 = (-b + sqrt(D)) / a;

                if (0 < t0) {
                    event.push_back(Event{ t0, i, j });
                } else if (0 < t1) {
                    event.push_back(Event{ t1, i, j });
                }
            }
        }
        for (int i = 0; i < n; ++i) {
            event.push_back(Event{ r[i] / vr[i], i, -1 });
        }

        sort(event.begin(), event.end(), [](Event& a, Event& b) {
                return a.t < b.t;
                });

        const Real INF = numeric_limits<Real>::max();
        vector<double> time(n, INF);

        for (Event& e : event) {
            if (e.j == -1) {
                if (time[e.i] == INF) {
                    time[e.i] = e.t;
                }
            } else {
                if (time[e.i] == INF and
                    time[e.j] == INF) {
                    time[e.i] = time[e.j] = e.t;
                }
            }
        }

        for (Real t : time) {
            cout << t << endl;
        }

    }

    return 0;
}



Measured memory_bytes: 3764