Klein is trying to get her dog Jack into the Frisbee Dog Tournament. But she's not sure if Jack will get a good grade. For her, she simulates the tournament to get Jack's grade. I want you to create a program to estimate.

The tournament is held by N dogs on a two-dimensional plane. At the start of the tournament, the i-th dog is in the (Dix, Diy) position. The i-th dog is Vi [m / s] All dogs are small enough to be considered points. At any given time, two or more dogs may be in the same position.

The tournament begins with the launch of the first Frisbee, from which the dogs are allowed to move. Frisbee can also be considered a point, the i Frisbee from the (FPix, FPiy) position ( FVix, FViy) Fired at a velocity vector of [m / s] and continues a constant velocity linear motion. When a dog's position and a Frisbee's position are equal, the dog can get a Frisbee.

The moment the first Frisbee is acquired by one of the dogs, the second Frisbee is fired. The moment the second Frisbee is acquired, the third is fired, and so on. Immediately after, the next Frisbee will be fired. The tournament will end when the Mth Frisbee is acquired.

Needless to say, the dogs' goal is to get more Frisbee. Dogs take the following strategies.

When the Frisbee is fired, the dog moves to get it at the earliest possible time and gets the Frisbee. However, if it cannot get the Frisbee, it waits where it is.

The determination of whether a dog can get a frisbee is made regardless of the behavior of the other dog. That is, one dog moves to get a frisbee, but the other dog gets it first. The moment one of the dogs gets the Frisbee and a new Frisbee is launched, the dogs take the above strategy against the new Frisbee.

The program you create must output the number of Frisbees obtained by each dog.



Input

The input file consists of multiple datasets.

The first row of the dataset gives the number of dogs N (1 ≤ N ≤ 10) and the number of Frisbees M (1 ≤ M ≤ 1000).

The following N lines are given the dog's initial position and velocity Dix, Diy, Vi, separated by a single blank.

The following M lines are given the Frisbee launch position and velocity FPix, FPiy, FVix, FViy, separated by a single space character.

The coordinate values ​​given are real numbers and their absolute values ​​do not exceed 1000. The speeds given are real numbers 1 ≤ DVi ≤ 100, -25 ≤ FVix, FViy ≤ 25. Frisbees that cannot be obtained by any dog You can assume that there is no.

When a dog with any Frisbee was obtained at time t, no dog could get it before time t + 1e-6.

During the simulation, the absolute values ​​of the dog's x and y coordinates do not exceed 1e + 8.

When both N and M are 0, the end of input is indicated.

Output

Output the number of Frisbees obtained by each dog on one line separated by a space character. The order of output must be the same as the order given in the input.

Example

Input

2 1
12 5 3
0 17 3
0 0 2 2
2 3
2 0 2
100 100 2
0 0 -1 0
-2 -5 0 3
100 100 1 1
0 0


Output

1 0
2 1
#include<cstdio>
#include<vector>
#include<queue>
#include<map>
#include<unordered_map>
#include<stack>
#include<string>
#include<algorithm>
#include<functional>
#include<cstring>
#include<complex>
using namespace std;

/**** Type Define ****/

typedef long long ll;
typedef pair<ll, ll> P;
typedef pair<ll, P> Q;
typedef complex<double> C;

/**** Macro Define ****/

#define cx real()
#define cy imag()

/**** Const List   ****/

const ll INF = 1LL << 60;
const ll mod = 1000000007;
const ll MAX_FLOW_MAX_V = 10000;
const ll MIN_COST_FLOW_MAX_V = 10000;
const ll BIPARTITE_MATCHING_MAX_V = 10000;
const ll dx[4] = {1, 0, -1, 0};
const ll dy[4] = {0, -1, 0, 1};
const C I = C(0, 1);
const double EPS = 1e-10;

/**** General Functions ****/

template <typename T>
T tmin(T a, T b) { return a > b ? b : a; };

template <typename T>
T tmax(T a, T b) { return a > b ? a : b; };

template <typename T>
T tadd(T a, T b) { return a + b; };

template <typename T>
T tmul(T a, T b) { return a * b; };

template <typename T>
T tpow(T a, T b) { return a * b; };

ll gcd(ll a, ll b) {
  if (b == 0) return a;
  return gcd(b, a % b);
}

ll extgcd(ll a, ll b, ll& x, ll& y) {
  if (b == 0) {
    x = 1, y = 0; return a;
  }
  ll q = a/b, g = extgcd(b, a - q*b, x, y);
  ll z = x - q * y;
  x = y;
  y = z;
  return g;
}

ll invmod (ll a, ll m) { // a^-1 mod m
  ll x, y;
  extgcd(a, m, x, y);
  x %= m;
  if (x < 0) x += m;
  return x;
}

ll nCk(ll n, ll k, ll mod) {
  ll ans = 1;
  for (ll i = n, j = 1; j <= k; i--, j++) ans = (((ans * i) % mod) * invmod(j, mod)) % mod;
  return ans;
}

ll lmin(ll a, ll b) { return a > b ? b : a; };

ll lmax(ll a, ll b) { return a > b ? a : b; };

ll lsum(ll a, ll b) { return a + b; };

/**** Matrix ****/

template <typename T>
struct Matrix {
  typedef vector<T> vec;
  typedef vector<vec> mat;
  ll x, y; // x: horizon  y: vertical
  mat d;

  Matrix(ll _y, ll _x = -1) {
    if (_x == -1) _x = _y;
    x = _x, y = _y;
    for (int i = 0; i < y; i++) for (int j = 0; j < x; j++) d[i][j] = 0;
  }
  void unit() {
    for (int i = 0; i < y; i++) for (int j = 0; j < x; j++) d[i][j] = i == j ? 1 : 0;
  }
  Matrix copy() {
    Matrix m(y, x);
    for (int i = 0; i < y; i++) for (int j = 0; j < x; j++) m.d[i][j] = d[i][j];
    return m;
  }
  Matrix<T> operator + (Matrix<T>& t) { // No error check! Don't forget to check Matrix size!!
    Matrix<T> m(y, x);
    for (int i = 0; i < y; i++) for (int j = 0; j < x; j++) m.d[i][j] = d[i][j] + t.d[i][j];
    return m;
  }
  Matrix<T> operator - (Matrix<T>& t) {
    Matrix<T> m(y, x);
    for (int i = 0; i < y; i++) for (int j = 0; j < x; j++) m.d[i][j] = d[i][j] - t.d[i][j];
    return m;
  }
  Matrix<T> operator * (T t) {
    Matrix<T> m(y, x);
    for (int i = 0; i < y; i++) for (int j = 0; j < x; j++) m.d[i][j] = d[i][j] * t;
    return m;
  }
  Matrix<T> det(Matrix<T>& t) { // x need to correspond to t.y
    Matrix<T> m(y, x);
    for (int i = 0; i < y; i++)
      for (int j = 0; j < x; j++)
        for (int k = 0; k < t.x; k++) m.d[i][j] += d[i][k] * t.d[k][j]; ////////////// mod???
    return m;
  }
};

/**** Zip ****/

template <typename T>
class Zip {
  vector<T> d;
  bool flag;
public:
  Zip() {
    flag = false;
  }
  void add(T x) {
    d.push_back(x);
    flag = true;
  }
  ll getNum(T x) { // T need to have operator < !!
    if (flag) {
      sort(d.begin(), d.end());
      d.erase(unique(d.begin(), d.end()), d.end());
      flag = false;
    }
    return lower_bound(d.begin(), d.end(), x) - d.begin();
  }
  ll size() {
    if (flag) {
      sort(d.begin(), d.end());
      d.erase(unique(d.begin(), d.end()), d.end());
      flag = false;
    }
    return (ll)d.size();
  }
};

/**** Union Find ****/

class UnionFind {
  vector<ll> par, rank; // par > 0: number, par < 0: -par
public:
  void init(ll n) {
    par.resize(n, 1); rank.resize(n, 0);
  }
  ll getSize(ll x) {
    return par[find(x)];
  }
  ll find(ll x) {
    if (par[x] > 0) return x;
    return -(par[x] = -find(-par[x]));
  }
  void merge(ll x, ll y) {
    x = find(x);
    y = find(y);
    if (x == y) return;
    if (rank[x] < rank[y]) {
      par[y] += par[x];
      par[x] = -y;
    } else {
      par[x] += par[y];
      par[y] = -x;
      if (rank[x] == rank[y]) rank[x]++;
    }
  }
  bool isSame(ll x, ll y) {
    return find(x) == find(y);
  }
};

template <typename T>
struct UnionFindT {
  vector<ll> par;
  vector<ll> rank;
  vector<T> diff_weight;

  UnionFindT(ll n = 1, T SUM_UNITY = 0) {
    init(n, SUM_UNITY);
  }

  void init(ll n = 1, T SUM_UNITY = 0) {
    par.resize(n); rank.resize(n); diff_weight.resize(n);
    for (ll i = 0; i < n; ++i) par[i] = i, rank[i] = 0, diff_weight[i] = SUM_UNITY;
  }

  ll find(ll x) {
    if (par[x] == x) {
      return x;
    }
    else {
      ll r = find(par[x]);
        diff_weight[x] += diff_weight[par[x]];
        return par[x] = r;
    }
  }

  T weight(ll x) {
    find(x);
    return diff_weight[x];
  }

  bool isSame(ll x, ll y) {
    return find(x) == find(y);
  }

  bool merge(ll x, ll y, T w) {
    w += weight(x); w -= weight(y);
    x = find(x); y = find(y);
    if (x == y) return false;
    if (rank[x] < rank[y]) swap(x, y), w = -w;
    if (rank[x] == rank[y]) ++rank[x];
    par[y] = x;
    diff_weight[y] = w;
    return true;
  }

  T diff(ll x, ll y) {
    return weight(y) - weight(x);
  }
};

class PersistentUnionFind {
  vector<ll> rank, fin, par;
  ll index;
public:
  void init(ll n) {
    index = 0;
    par.resize(n); rank.resize(n, 1); fin.resize(n, 0);
    for (ll i = 0; i < n; i++) par[i] = i;
  }
  ll find(ll x, ll t) {
    if (t >= fin[x] && par[x] != x) return find(par[x], t);
    return x;
  }
  void merge(ll x, ll y) {
    x = find(x, index);
    y = find(y, index);
    index++;
    if (x == y) return;
    if (rank[x] < rank[y]) par[x] = y, fin[x] = index;
    else {
      par[y] = x, fin[y] = index;
      if (rank[x] == rank[y]) rank[x]++;
    }
  }
  bool isSame(ll x, ll y, ll t) { return find(x, t) == find(y, t); }
};

/**** Segment Tree ****/

template <typename T>
class SegmentTree {
  ll n;
  vector<T> node;
  function<T(T, T)> fun, fun2;
  bool customChange;
  T outValue, initValue;
public:
  void init(ll num, function<T(T, T)> resultFunction, T init, T out, function<T(T, T)> changeFunction = NULL) {
    // changeFunction: (input, beforevalue) => newvalue
    fun = resultFunction;
    fun2 = changeFunction;
    customChange = changeFunction != NULL;
    n = 1;
    while (n < num) n *= 2;
    node.resize(2 * n - 1, init);
    outValue = out;
    initValue = init;
  }
  void valueChange(ll num, T value) {
    num += n-1;
    if (customChange) node[num] = fun2(value, node[num]);
    else node[num] = value;
    while (num > 0) num = (num - 1) / 2, node[num] = fun(node[num * 2 + 1], node[num * 2 + 2]);
  }
  T rangeQuery(ll a, ll b, ll l = 0, ll r = -1, ll k = 0) { // [a, b)
    if (r == -1) r = n;
    if (a <= l && r <= b) return node[k];
    if (b <= l || r <= a) return outValue;
    ll mid = (l + r) / 2;
    return fun(rangeQuery(a, b, l, mid, 2*k+1), rangeQuery(a, b, mid, r, 2*k+2));
  }
};

template <typename T>
class LazySegmentTree {
  ll n;
  vector<T> node;
  vector<T> lazyNode;
  function<T(T, T)> fun, fun2;
  function<T(T, ll)> fun3;
  T outValue, initValue;
  T substitution(T a, T b) { return a; }
  void eval(ll k, ll l, ll r) {
    if (lazyNode[k] == 0) return;
    node[k] = fun2(fun3(lazyNode[k], r - l), node[k]);
    if (r - l > 1) {
      lazyNode[2 * k + 1] = fun2(lazyNode[k], lazyNode[2 * k + 1]);
      lazyNode[2 * k + 2] = fun2(lazyNode[k], lazyNode[2 * k + 2]);
    }
    lazyNode[k] = initValue;
  }
public:
  void init(ll num, function<T(T, T)> resultFunction, function<T(T, T)> changeFunction, function<T(T, ll)> lazyFunction, T init, T out) {
    // changeFunction: (input, beforevalue) => newvalue
    // lazyFunction: (lazyNode, diff) => newvalue
    fun = resultFunction;
    fun2 = changeFunction;
    fun3 = lazyFunction;
    n = 1;
    while (n < num) n *= 2;
    node.resize(2 * n - 1, init);
    lazyNode.resize(2 * n - 1, init);
    outValue = out;
    initValue = init;
  }
  void rangeChange(ll a, ll b, T value, ll l = 0, ll r = -1, ll k = 0) {
    if (r == -1) r = n;
    eval(k, l, r);
    if (b <= l || r <= a) return;
    if (a <= l && r <= b) {
      lazyNode[k] = fun2(value, lazyNode[k]);
      eval(k, l, r);
    } else {
      ll mid = (l + r) / 2;
      rangeChange(a, b, value, l, mid, 2*k+1);
      rangeChange(a, b, value, mid, r, 2*k+2);
      node[k] = fun(node[2*k+1], node[2*k+2]);
    }
  }
  T rangeQuery(ll a, ll b, ll l = 0, ll r = -1, ll k = 0) { // [a, b)
    if (r == -1) r = n;
    if (b <= l || r <= a) return outValue;
    eval(k, l, r);
    if (a <= l && r <= b) return node[k];
    ll mid = (l + r) / 2;
    return fun(rangeQuery(a, b, l, mid, 2*k+1), rangeQuery(a, b, mid, r, 2*k+2));
  }
};

/**** Network Flow ****/

class MaxFlow {
public:
  struct edge { ll to, cap, rev; };

  vector<edge> G[MAX_FLOW_MAX_V];
  bool used[MAX_FLOW_MAX_V];
  ll level[MAX_FLOW_MAX_V];
  ll iter[MAX_FLOW_MAX_V];
  
  void init() {
    for (ll i = 0; i < MAX_FLOW_MAX_V; i++) {
      G[i].clear();
    }
  }
  void add_edge(ll from, ll to, ll cap) {
    G[from].push_back((edge){to, cap, (ll)G[to].size()});
    G[to].push_back((edge){from, 0, (ll)G[from].size() - 1});
  }
  void add_undirected_edge(ll e1, ll e2, ll cap) {
    G[e1].push_back((edge){e2, cap, (ll)G[e2].size()});
    G[e2].push_back((edge){e1, cap, (ll)G[e1].size() - 1});
  }
  ll dfs(ll v, ll t, ll f) {
    if (v == t) return f;
    used[v] = true;
    for (ll i = 0; i < (ll)G[v].size(); i++) {
      edge &e = G[v][i];
      if (!used[e.to]&& e.cap > 0) {
        ll d = dfs(e.to, t, min(f, e.cap));
        if (d > 0) {
          e.cap -= d;
          G[e.to][e.rev].cap += d;
          return d;
        }
      }
    }
    return 0;
  }
  ll max_flow(ll s, ll t) {
    ll flow = 0;
    while (1) {
      memset(used, 0, sizeof(used));
      ll f = dfs(s, t, INF);
      if (f == 0) return flow;
      flow += f;
    }
  }
  void bfs(ll s) {
    memset(level, -1, sizeof(level));
    queue<ll> que;
    level[s] = 0;
    que.push(s);
    while (!que.empty()) {
      ll v = que.front(); que.pop();
      for (ll i = 0; i < (ll)G[v].size(); i++) {
        edge &e = G[v][i];
        if (e.cap > 0 && level[e.to] < 0) {
          level[e.to] = level[v] + 1;
          que.push(e.to);
        }
      }
    }
  }
  ll dinic_dfs(ll v, ll t, ll f) {
    if (v == t) return f;
    for (ll &i= iter[v]; i < (ll)G[v].size(); i++) {
      edge &e = G[v][i];
      if (e.cap > 0 && level[v] < level[e.to]) {
        ll d = dinic_dfs(e.to, t, min(f, e.cap));
        if (d > 0) {
          e.cap -= d;
          G[e.to][e.rev].cap += d;
          return d;
        }
      }
    }
    return 0;
  }
  ll dinic(ll s, ll t) {
    ll flow = 0;
    while (1) {
      bfs(s);
      if (level[t] < 0) return flow;
      memset(iter, 0, sizeof(iter));
      ll f;
      while ((f = dinic_dfs(s, t, INF)) > 0) {
        flow += f;
      }
    }
  }
};

/**** bipartite matching ****/

class BipartiteMatching {
public:
  ll V;
  vector<ll> G[BIPARTITE_MATCHING_MAX_V];
  ll match[BIPARTITE_MATCHING_MAX_V];
  bool used[BIPARTITE_MATCHING_MAX_V];
  
  BipartiteMatching(ll v) {
    V = v;
  }
  void init(ll v) {
    V = v;
    for (ll i = 0; i < BIPARTITE_MATCHING_MAX_V; i++) {
      G[i].clear();
    }
  }
  void add_edge(ll u, ll v) {
    G[u].push_back(v);
    G[v].push_back(u);
  }
  bool dfs(ll v) {
    used[v] = true;
    for (ll i = 0; i < (ll)G[v].size(); i++) {
      ll u = G[v][i], w = match[u];
      if (w < 0 || !used[w] && dfs(w)) {
        match[v] = u;
        match[u] = v;
        return true;
      }
    }
    return false;
  }
  ll max_matching() {
    ll res = 0;
    memset(match, -1, sizeof(match));
    for (ll v = 0; v < V;v++) {
      if (match[v] < 0) {
        memset(used, 0, sizeof(used));
        if (dfs(v)) {
          res++;
        }
      }
    }
    return res;
  }
};

class MinCostFlow {
public:
  struct edge { ll to, cap, cost, rev; };

  ll V;
  vector<edge> G[MIN_COST_FLOW_MAX_V];
  ll dist[MIN_COST_FLOW_MAX_V];
  ll prevv[MIN_COST_FLOW_MAX_V];
  ll preve[MIN_COST_FLOW_MAX_V];
  ll h[MIN_COST_FLOW_MAX_V];

  MinCostFlow(ll v) {
    V = v;
  }
  void init() {
    for (ll i = 0; i < MAX_FLOW_MAX_V; i++) {
      G[i].clear();
    }
  }
  void add_edge(ll from, ll to, ll cap, ll cost) {
    G[from].push_back((edge){to, cap, cost, (ll)G[to].size()});
    G[to].push_back((edge){from, 0, -cost, (ll)G[from].size() - 1});
  }
  void add_undirected_edge(ll e1, ll e2, ll cap, ll cost) {
    add_edge(e1, e2, cap, cost);
    add_edge(e2, e1, cap, cost);
  }
  ll min_cost_flow(ll s, ll t, ll f) { // minas
    ll res = 0;
    while (f > 0) {
      fill(dist, dist + V, INF);
      dist[s] = 0;
      bool update = true;
      while (update) {
        update = false;
        for (ll v = 0; v < V; v++) {
          if (dist[v] == INF) continue;
          for (ll i = 0; i < (ll)G[v].size(); i++) {
            edge &e = G[v][i];
            if (e.cap > 0 && dist[e.to] > dist[v] + e.cost) {
              dist[e.to] = dist[v] + e.cost;
              prevv[e.to] = v;
              preve[e.to] = i;
              update = true;
            }
          }
        }
      }
      if (dist[t] == INF) {
        return -1;
      }
      ll d = f;
      for (ll v = t; v != s; v = prevv[v]) {
        d = min(d, G[prevv[v]][preve[v]].cap);
      }
      f -= d;
      res += d * dist[t];
      for (ll v = t; v != s; v = prevv[v]) {
        edge &e = G[prevv[v]][preve[v]];
        e.cap -= d;
        G[v][e.rev].cap += d;
      }
    }
    return res;
  }
  ll min_cost_flow_dijkstra(ll s, ll t, ll f) {
    ll res = 0;
    fill(h, h + V, 0);
    while (f > 0) {
      priority_queue<P, vector<P>, greater<P> > que;
      fill(dist, dist + V, 0);
      dist[s] = 0;
      que.push(P(0, s));
      while (!que.empty()) {
        P p = que.top(); que.pop();
        int v = p.second;
        if (dist[v] < p.first) continue;
        for (int i = 0; i < G[v].size(); i++) {
          edge &e = G[v][i];
          if (e.cap > 0 && dist[e.to] > dist[v] + e.cost + h[v] - h[e.to]) {
            dist[e.to] = dist[v] + e.cost + h[v] - h[e.to];
            prevv[e.to] = v;
            preve[e.to] = i;
            que.push(P(dist[e.to], e.to));
          }
        }
      }
      if (dist[t] == INF) {
        return -1;
      }
      for (int v = 0; v < V; v++) h[v] += dist[v];
      int d = f;
      for (int v = t; v != s; v = prevv[v]) {
        d = tmin<ll>(d, G[prevv[v]][preve[v]].cap);
      }
      f -= d;
      res += d * h[t];
      for (int v = t; v != s; v = prevv[v]) {
        edge &e = G[prevv[v]][preve[v]];
        e.cap -= d;
        G[v][e.rev].cap += d;
      }
      return res;
    }
    return 0;
  }
};

/**** LIS ****/
ll lis(ll* a, ll n, ll* dp) {
  fill(dp, dp + n, INF);
  for (ll i = 0; i < n; i++) *lower_bound(dp, dp + n, a[i]) = a[i];
  return (ll)(lower_bound(dp, dp + n, INF) - dp);
}

/**** Geometry ****/

bool isEqual(double a, double b) { return abs(a - b) < EPS; }
bool isCEqual(C a, C b) { return isEqual(a.cx, a.cy) && isEqual(a.cy, a.cy); }
bool isZero(double a) { return abs(a) < EPS; } // a == 0
bool isUZero(double a) { return a > EPS; } // a > 0
bool isUEZero(double a) { return a > -EPS; } // a >= 0
bool isLZero(double a) { return a < -EPS; } // a < 0
bool isLEZero(double a) { return a < EPS; } // a <= 0
C getUnitVector(C a) { double len = abs(a); return isZero(len) ? C(0.0, 0.0) : a / len; }
double dot(C a, C b) { return a.cx * b.cx + a.cy * b.cy; } // |a||b|cosθ
double det(C a, C b) { return a.cx * b.cy - a.cy * b.cx; } // |a||b|sinθ
bool isLineOrthogonal(C a1, C a2, C b1, C b2) { return isZero(dot(a1 - a2, b1 - b2)); } // a1-a2, b1-b2
bool isLineParallel(C a1, C a2, C b1, C b2) { return isZero(det(a1 - a2, b1 - b2)); } // a1-a2, b1-b2
bool isPointOnLine(C a, C b, C c) { return isZero(det(b - a, c - a)); } // a-b <- c
bool isPointOnLineSegment(C a, C b, C c) { // a-b <- c
  return isZero(det(b - a, c - a)) && isUEZero(dot(b - a, c - a)) && isUEZero(dot(a - b, c - b));
}
// bool isPointOnLineSegment(C a, C b, C c) { return isZero(abs(a-c) + abs(c-b) - abs(a-b)); }
double distanceLineAndPoint(C a, C b, C c) { return abs(det(b-a, c-a)) / abs(b-a); } // a-b <- c
double distanceLineSegmentAndPoint(C a, C b, C c) { // a-b <- c
  if (isLEZero(dot(b-a, c-a))) return abs(c-a);
  if (isLEZero(dot(a-b, c-b))) return abs(c-b);
  return abs(det(b-a, c-a)) / abs(b-a);
}
bool isIntersectedLine(C a1, C a2, C b1, C b2) { // a1-a2, b1-b2
  return !isLineParallel(a1, a2, b1, b2);
}
C intersectionLine(C a1, C a2, C b1, C b2) { // isIntersectedLine-> true
  C a = a2 - a1, b = b2 - b1;
  return a1 + a * det(b, b1 - a1) / det(b, a);
}

/**** NG Words ****/
// cx cy P Q C
// Warning: EPS

/**** main function ****/

double DINF = 1e30;
ll n, m, ans[10];
double x, y, v[10], t[10];
C d[10], fp, fv;

int main() {
  while (scanf("%lld%lld", &n, &m), n) {
    for (ll i = 0; i < n; i++) scanf("%lf%lf%lf", &x, &y, &v[i]), d[i] = C(x, y), ans[i] = 0;
    for (ll i = 0; i < m; i++) {
      scanf("%lf%lf", &x, &y), fp = C(x, y);
      scanf("%lf%lf", &x, &y), fv = C(x, y);
      double mint = DINF;
      for (ll j = 0; j < n; j++) {
        double ax = fp.cx - d[j].cx;
        double ay = fp.cy - d[j].cy;
        double bx = fv.cx;
        double by = fv.cy;
        double A = bx * bx + by * by - v[j] * v[j];
        double B = ax * bx + ay * by;
        double C = ax * ax + ay * ay;
        // At^2 + 2Bt + C = 0
        if (isZero(A)) {
          if (isZero(B)) t[j] = DINF;
          else {
            double temp = C / (2 * B);
            if (isLZero(temp)) t[j] = DINF;
            else t[j] = temp, mint = min(mint, temp);
          }
        } else {
          double D = B * B - A * C;
          if (isLZero(D)) t[j] = DINF;
          else if (isZero(D)) {
            double temp = -B / A;
            if (isLZero(temp)) t[j] = DINF;
            else t[j] = temp, mint = min(mint, temp);
          } else {
            double t2 = sqrt(D);
            double temp = (-B - t2) / A;
            if (isLZero(temp)) temp = (-B + t2) / A;
            if (isLZero(temp)) t[j] = DINF;
            else t[j] = temp, mint = min(mint, temp);
          }
        }
      }
      for (ll j = 0; j < n; j++) {
        if (isZero(t[j] - DINF)) continue;
        d[j] = (fp + fv * t[j] - d[j]) * mint / t[j] + d[j];
        if (isZero(t[j] - mint)) ans[j]++;
      }
    }
    for (ll i = 0; i < n; i++) printf("%lld%c", ans[i], i==n-1 ? '\n' : ' ');
  }
}

