Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a description of a graph.

It is an undirected weighted graph on n vertices. It is a complete graph: each pair of vertices is connected by an edge. The weight of each edge is either 0 or 1; exactly m edges have weight 1, and all others have weight 0.

Since Ujan doesn't really want to organize his notes, he decided to find the weight of the minimum spanning tree of the graph. (The weight of a spanning tree is the sum of all its edges.) Can you find the answer for Ujan so he stops procrastinating?

Input

The first line of the input contains two integers n and m (1 ≤ n ≤ 10^5, 0 ≤ m ≤ min((n(n-1))/(2),10^5)), the number of vertices and the number of edges of weight 1 in the graph. 

The i-th of the next m lines contains two integers a_i and b_i (1 ≤ a_i, b_i ≤ n, a_i ≠ b_i), the endpoints of the i-th edge of weight 1.

It is guaranteed that no edge appears twice in the input.

Output

Output a single integer, the weight of the minimum spanning tree of the graph.

Examples

Input


6 11
1 3
1 4
1 5
1 6
2 3
2 4
2 5
2 6
3 4
3 5
3 6


Output


2


Input


3 0


Output


0

Note

The graph from the first sample is shown below. Dashed edges have weight 0, other edges have weight 1. One of the minimum spanning trees is highlighted in orange and has total weight 2.

<image>

In the second sample, all edges have weight 0 so any spanning tree has total weight 0.
#include <bits/stdc++.h>
using namespace std;
const long long INF = 1LL << 60;
string operator*(const string& s, int k) {
  if (k == 0) return "";
  string p = (s + s) * (k / 2);
  if (k % 2 == 1) p += s;
  return p;
}
template <class T>
inline bool chmin(T& a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
template <class T>
inline bool chmax(T& a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
struct Edge {
  long long to, cap, rev;
  Edge(long long _to, long long _cap, long long _rev) {
    to = _to;
    cap = _cap;
    rev = _rev;
  }
};
void add_edge(vector<vector<Edge>>& G, long long from, long long to,
              long long cap, bool revFlag, long long revCap) {
  G[from].push_back(Edge(to, cap, (long long)G[to].size()));
  if (revFlag)
    G[to].push_back(Edge(from, revCap, (long long)G[from].size() - 1));
}
long long max_flow_dfs(vector<vector<Edge>>& G, long long v, long long t,
                       long long f, vector<bool>& used) {
  if (v == t) return f;
  used[v] = true;
  for (int i = 0; i < G[v].size(); ++i) {
    Edge& e = G[v][i];
    if (!used[e.to] && e.cap > 0) {
      long long d = max_flow_dfs(G, e.to, t, min(f, e.cap), used);
      if (d > 0) {
        e.cap -= d;
        G[e.to][e.rev].cap += d;
        return d;
      }
    }
  }
  return 0;
}
long long max_flow(vector<vector<Edge>>& G, long long s, long long t) {
  long long flow = 0;
  for (;;) {
    vector<bool> used(G.size());
    for (int(i) = (int)(0); i < (int)(used.size()); i++) used[i] = false;
    long long f = max_flow_dfs(G, s, t, INF, used);
    if (f == 0) {
      return flow;
    }
    flow += f;
  }
}
void BellmanFord(vector<vector<Edge>>& G, long long s, vector<long long>& d,
                 vector<long long>& negative) {
  d.resize(G.size());
  negative.resize(G.size());
  for (int(i) = (int)(0); i < (int)(d.size()); i++) d[i] = INF;
  for (int(i) = (int)(0); i < (int)(d.size()); i++) negative[i] = false;
  d[s] = 0;
  for (int(k) = (int)(0); k < (int)(G.size() - 1); k++) {
    for (int(i) = (int)(0); i < (int)(G.size()); i++) {
      for (int(j) = (int)(0); j < (int)(G[i].size()); j++) {
        if (d[i] != INF && d[G[i][j].to] > d[i] + G[i][j].cap) {
          d[G[i][j].to] = d[i] + G[i][j].cap;
        }
      }
    }
  }
  for (int(k) = (int)(0); k < (int)(G.size() - 1); k++) {
    for (int(i) = (int)(0); i < (int)(G.size()); i++) {
      for (int(j) = (int)(0); j < (int)(G[i].size()); j++) {
        if (d[i] != INF && d[G[i][j].to] > d[i] + G[i][j].cap) {
          d[G[i][j].to] = d[i] + G[i][j].cap;
          negative[G[i][j].to] = true;
        }
        if (negative[i] == true) negative[G[i][j].to] = true;
      }
    }
  }
}
void Dijkstra(vector<vector<Edge>>& G, long long s, vector<long long>& d) {
  d.resize(G.size());
  for (int(i) = (int)(0); i < (int)(d.size()); i++) d[i] = INF;
  d[s] = 0;
  priority_queue<pair<long long, long long>, vector<pair<long long, long long>>,
                 greater<pair<long long, long long>>>
      q;
  q.push(make_pair(0, s));
  while (!q.empty()) {
    pair<long long, long long> a = q.top();
    q.pop();
    if (d[a.second] < a.first) continue;
    for (int(i) = (int)(0); i < (int)(G[a.second].size()); i++) {
      Edge e = G[a.second][i];
      if (d[e.to] > d[a.second] + e.cap) {
        d[e.to] = d[a.second] + e.cap;
        q.push(make_pair(d[e.to], e.to));
      }
    }
  }
}
void WarshallFloyd(vector<vector<Edge>>& G, vector<vector<long long>>& d) {
  d.resize(G.size());
  for (int(i) = (int)(0); i < (int)(d.size()); i++) d[i].resize(G.size());
  for (int(i) = (int)(0); i < (int)(d.size()); i++) {
    for (int(j) = (int)(0); j < (int)(d[i].size()); j++) {
      d[i][j] = INF;
    }
  }
  for (int(i) = (int)(0); i < (int)(G.size()); i++) {
    for (int(j) = (int)(0); j < (int)(G[i].size()); j++) {
      d[i][G[i][j].to] = G[i][j].cap;
    }
  }
  for (int(i) = (int)(0); i < (int)(G.size()); i++) {
    for (int(j) = (int)(0); j < (int)(G.size()); j++) {
      for (int(k) = (int)(0); k < (int)(G.size()); k++) {
        chmin(d[j][k], d[j][i] + d[i][k]);
      }
    }
  }
}
bool tsort(vector<vector<Edge>>& graph, vector<int>& order) {
  int n = graph.size(), k = 0;
  vector<long long> in(n);
  for (auto& es : graph)
    for (auto& e : es) in[e.to]++;
  priority_queue<long long, vector<long long>, greater<long long>> que;
  for (int(i) = (int)(0); i < (int)(n); i++)
    if (in[i] == 0) que.push(i);
  while (que.size()) {
    int v = que.top();
    que.pop();
    order.push_back(v);
    for (auto& e : graph[v])
      if (--in[e.to] == 0) que.push(e.to);
  }
  if (order.size() != n)
    return false;
  else
    return true;
}
class lca {
 public:
  const int n = 0;
  const int log2_n = 0;
  std::vector<std::vector<int>> parent;
  std::vector<int> depth;
  lca() {}
  lca(const vector<vector<Edge>>& g, int root)
      : n(g.size()),
        log2_n(log2(n) + 1),
        parent(log2_n, std::vector<int>(n)),
        depth(n) {
    dfs(g, root, -1, 0);
    for (int k = 0; k + 1 < log2_n; k++) {
      for (int v = 0; v < (int)g.size(); v++) {
        if (parent[k][v] < 0)
          parent[k + 1][v] = -1;
        else
          parent[k + 1][v] = parent[k][parent[k][v]];
      }
    }
  }
  void dfs(const vector<vector<Edge>>& g, int v, int p, int d) {
    parent[0][v] = p;
    depth[v] = d;
    for (auto& e : g[v]) {
      if (e.to != p) dfs(g, e.to, v, d + 1);
    }
  }
  int get(int u, int v) {
    if (depth[u] > depth[v]) std::swap(u, v);
    for (int k = 0; k < log2_n; k++) {
      if ((depth[v] - depth[u]) >> k & 1) {
        v = parent[k][v];
      }
    }
    if (u == v) return u;
    for (int k = log2_n - 1; k >= 0; k--) {
      if (parent[k][u] != parent[k][v]) {
        u = parent[k][u];
        v = parent[k][v];
      }
    }
    return parent[0][u];
  }
};
void visit(const vector<vector<Edge>>& g, int v, vector<vector<long long>>& scc,
           stack<long long>& S, vector<long long>& inS, vector<long long>& low,
           vector<long long>& num, int& time) {
  low[v] = num[v] = ++time;
  S.push(v);
  inS[v] = true;
  for (decltype((g[v]).begin()) e = (g[v]).begin(); e != (g[v]).end(); ++e) {
    int w = e->to;
    if (num[w] == 0) {
      visit(g, w, scc, S, inS, low, num, time);
      low[v] = min(low[v], low[w]);
    } else if (inS[w])
      low[v] = min(low[v], num[w]);
  }
  if (low[v] == num[v]) {
    scc.push_back(vector<long long>());
    while (1) {
      int w = S.top();
      S.pop();
      inS[w] = false;
      scc.back().push_back(w);
      if (v == w) break;
    }
  }
}
void stronglyConnectedComponents(const vector<vector<Edge>>& g,
                                 vector<vector<long long>>& scc) {
  const int n = g.size();
  vector<long long> num(n), low(n);
  stack<long long> S;
  vector<long long> inS(n);
  int time = 0;
  for (int(u) = (int)(0); u < (int)(n); u++)
    if (num[u] == 0) visit(g, u, scc, S, inS, low, num, time);
}
class UnionFind {
  vector<int> data;
  long long num;

 public:
  UnionFind(int size) : data(size, -1), num(size) {}
  bool unite(int x, int y) {
    x = root(x);
    y = root(y);
    if (x != y) {
      if (data[y] < data[x]) swap(x, y);
      data[x] += data[y];
      data[y] = x;
    }
    num -= (x != y);
    return x != y;
  }
  bool findSet(int x, int y) { return root(x) == root(y); }
  int root(int x) { return data[x] < 0 ? x : data[x] = root(data[x]); }
  int size(int x) { return -data[root(x)]; }
  int numSet() { return num; }
};
class SumSegTree {
 private:
  long long _sum(long long a, long long b, long long k, long long l,
                 long long r) {
    if (r <= a || b <= l) return 0;
    if (a <= l && r <= b)
      return dat[k];
    else {
      long long s1 = _sum(a, b, 2 * k + 1, l, (l + r) / 2);
      long long s2 = _sum(a, b, 2 * k + 2, (l + r) / 2, r);
      return s1 + s2;
    }
  }

 public:
  long long n, height;
  vector<long long> dat;
  SumSegTree(long long _n) {
    n = 1;
    height = 1;
    while (n < _n) {
      n *= 2;
      height++;
    }
    dat = vector<long long>(2 * n - 1, 0);
  }
  void add(long long i, long long x) {
    i += n - 1;
    dat[i] += x;
    while (i > 0) {
      i = (i - 1) / 2;
      dat[i] += x;
    }
  }
  long long sum(long long a, long long b) { return _sum(a, b, 0, 0, n); }
};
class RmqTree {
 private:
  long long _find(long long a, long long b, long long k, long long l,
                  long long r) {
    if (r <= a || b <= l) return INF;
    if (a <= l && r <= b)
      return dat[k];
    else {
      long long s1 = _find(a, b, 2 * k + 1, l, (l + r) / 2);
      long long s2 = _find(a, b, 2 * k + 2, (l + r) / 2, r);
      return min(s1, s2);
    }
  }

 public:
  long long n, height;
  vector<long long> dat;
  RmqTree(long long _n) {
    n = 1;
    height = 1;
    while (n < _n) {
      n *= 2;
      height++;
    }
    dat = vector<long long>(2 * n - 1, INF);
  }
  void update(long long i, long long x) {
    i += n - 1;
    dat[i] = x;
    while (i > 0) {
      i = (i - 1) / 2;
      dat[i] = min(dat[i * 2 + 1], dat[i * 2 + 2]);
    }
  }
  long long find(long long a, long long b) { return _find(a, b, 0, 0, n); }
};
void divisor(long long n, vector<long long>& ret) {
  for (long long i = 1; i * i <= n; i++) {
    if (n % i == 0) {
      ret.push_back(i);
      if (i * i != n) ret.push_back(n / i);
    }
  }
  sort(ret.begin(), ret.end());
}
vector<long long> lis_fast(const vector<long long>& a) {
  const long long n = a.size();
  vector<long long> A(n, INT_MAX);
  vector<long long> id(n);
  for (int i = 0; i < n; ++i) {
    id[i] = distance(A.begin(), lower_bound(A.begin(), A.end(), a[i]));
    A[id[i]] = a[i];
  }
  long long m = *max_element(id.begin(), id.end());
  vector<long long> b(m + 1);
  for (int i = n - 1; i >= 0; --i)
    if (id[i] == m) b[m--] = a[i];
  return b;
}
bool z_algorithm(string& str, vector<int>& z, long long s) {
  const int L = str.size();
  z.resize(str.size());
  for (int i = 1, left = 0, right = 0; i < L; i++) {
    if (i > right) {
      left = right = i;
      for (; right < L && str[right - left] == str[right]; right++)
        ;
      z[i] = right - left;
      right--;
    } else {
      int k = i - left;
      if (z[k] < right - i + 1) {
        z[i] = z[k];
      } else {
        left = i;
        for (; right < L && str[right - left] == str[right]; right++)
          ;
        z[i] = right - left;
        right--;
      }
    }
    if (z[i] == s) return true;
  }
  return false;
}
bool z_algorithm(string& str, vector<int>& z) {
  const int L = str.size();
  z.resize(str.size());
  for (int i = 1, left = 0, right = 0; i < L; i++) {
    if (i > right) {
      left = right = i;
      for (; right < L && str[right - left] == str[right]; right++)
        ;
      z[i] = right - left;
      right--;
    } else {
      int k = i - left;
      if (z[k] < right - i + 1) {
        z[i] = z[k];
      } else {
        left = i;
        for (; right < L && str[right - left] == str[right]; right++)
          ;
        z[i] = right - left;
        right--;
      }
    }
  }
  return true;
}
struct RollingHash {
  static const int base1 = 1007, base2 = 2009;
  static const int mod1 = 1000000007, mod2 = 1000000009;
  vector<long long> hash1, hash2, power1, power2;
  RollingHash(const string& S) {
    int n = (int)S.size();
    hash1.assign(n + 1, 0);
    hash2.assign(n + 1, 0);
    power1.assign(n + 1, 1);
    power2.assign(n + 1, 1);
    for (int i = 0; i < n; ++i) {
      hash1[i + 1] = (hash1[i] * base1 + S[i]) % mod1;
      hash2[i + 1] = (hash2[i] * base2 + S[i]) % mod2;
      power1[i + 1] = (power1[i] * base1) % mod1;
      power2[i + 1] = (power2[i] * base2) % mod2;
    }
  }
  inline pair<long long, long long> get(int l, int r) const {
    long long res1 = hash1[r] - hash1[l] * power1[r - l] % mod1;
    if (res1 < 0) res1 += mod1;
    long long res2 = hash2[r] - hash2[l] * power2[r - l] % mod2;
    if (res2 < 0) res2 += mod2;
    return {res1, res2};
  }
  inline int getLCP(int a, int b) const {
    int len = min((int)hash1.size() - a, (int)hash1.size() - b);
    int low = 0, high = len;
    while (high - low > 1) {
      int mid = (low + high) >> 1;
      if (get(a, a + mid) != get(b, b + mid))
        high = mid;
      else
        low = mid;
    }
    return low;
  }
};
long long mod_pow(long long x, long long n, long long mod) {
  long long res = 1LL;
  while (n > 0) {
    if (n & 1) res = res * x % mod;
    x = x * x % mod;
    n >>= 1;
  }
  return res;
}
long long mod_inv(long long x, long long mod) {
  return mod_pow(x, mod - 2, mod);
}
class Combination {
 public:
  vector<long long> fact;
  vector<long long> inv;
  long long mod;
  long long mod_inv(long long x) {
    long long n = mod - 2LL;
    long long res = 1LL;
    while (n > 0) {
      if (n & 1) res = res * x % mod;
      x = x * x % mod;
      n >>= 1;
    }
    return res;
  }
  long long nCr(long long n, long long r) {
    return ((fact[n] * inv[r] % mod) * inv[n - r]) % mod;
  }
  long long nPr(long long n, long long r) {
    return (fact[n] * inv[n - r]) % mod;
  }
  long long nHr(long long n, long long r) { return nCr(r + n - 1, r); }
  Combination(long long n, long long _mod) {
    mod = _mod;
    fact.resize(n + 1);
    fact[0] = 1;
    for (int(i) = (int)(0); i < (int)(n); i++) {
      fact[i + 1] = (fact[i] * (i + 1LL)) % mod;
    }
    inv.resize(n + 1);
    inv[n] = mod_inv(fact[n]);
    for (int i = n; i > 0; i--) {
      inv[i - 1] = inv[i] * i % mod;
    }
  }
};
long long gcd(long long m, long long n) {
  if (n == 0) return m;
  return gcd(n, m % n);
}
long long lcm(long long m, long long n) { return m / gcd(m, n) * n; }
vector<vector<long long>> mIdentity(long long n) {
  vector<vector<long long>> A(n, vector<long long>(n));
  for (int i = 0; i < n; ++i) A[i][i] = 1;
  return A;
}
vector<vector<long long>> mMul(const vector<vector<long long>>& A,
                               const vector<vector<long long>>& B) {
  vector<vector<long long>> C(A.size(), vector<long long>(B[0].size()));
  for (int i = 0; i < C.size(); ++i)
    for (int j = 0; j < C[i].size(); ++j)
      for (int k = 0; k < A[i].size(); ++k)
        (C[i][j] += (A[i][k] % 1000000007) * (B[k][j] % 1000000007)) %=
            1000000007;
  return C;
}
vector<vector<long long>> mPow(const vector<vector<long long>>& A,
                               long long e) {
  return e == 0       ? mIdentity(A.size())
         : e % 2 == 0 ? mPow(mMul(A, A), e / 2)
                      : mMul(A, mPow(A, e - 1));
}
template <class T>
class RectangleSum {
 public:
  vector<vector<T>> sum;
  T GetSum(int left, int right, int top, int bottom) {
    T res = sum[bottom][right];
    if (left > 0) res -= sum[bottom][left - 1];
    if (top > 0) res -= sum[top - 1][right];
    if (left > 0 && top > 0) res += sum[top - 1][left - 1];
    return res;
  }
  RectangleSum(const vector<vector<T>>& s, int h, int w) {
    sum.resize(h);
    for (int i = 0; i < h; i++) sum[i].resize(w, 0);
    for (int y = 0; y < h; y++) {
      for (int x = 0; x < w; x++) {
        sum[y][x] = s[y][x];
        if (y > 0) sum[y][x] += sum[y - 1][x];
        if (x > 0) sum[y][x] += sum[y][x - 1];
        if (y > 0 && x > 0) sum[y][x] -= sum[y - 1][x - 1];
      }
    }
  }
};
long long _garner(vector<long long>& xs, vector<long long>& mods) {
  int M = xs.size();
  vector<long long> coeffs(M, 1), constants(M, 0);
  for (int i = 0; i < M - 1; ++i) {
    long long mod_i = mods[i];
    long long v = (xs[i] - constants[i] + mod_i) % mod_i;
    v = (v * mod_pow(coeffs[i], mod_i - 2, mod_i)) % mod_i;
    for (int j = i + 1; j < M; j++) {
      long long mod_j = mods[j];
      constants[j] = (constants[j] + coeffs[j] * v) % mod_j;
      coeffs[j] = (coeffs[j] * mod_i) % mod_j;
    }
  }
  return constants.back();
}
template <typename T>
inline void bit_reverse(vector<T>& a) {
  int n = a.size();
  int i = 0;
  for (int j = 1; j < n - 1; ++j) {
    for (int k = n >> 1; k > (i ^= k); k >>= 1)
      ;
    if (j < i) swap(a[i], a[j]);
  }
}
template <long long mod, long long primitive_root>
class NTT {
 public:
  long long get_mod() { return mod; }
  void _ntt(vector<long long>& a, int sign) {
    const int n = a.size();
    assert((n ^ (n & -n)) == 0);
    const long long g = primitive_root;
    long long tmp = (mod - 1) * mod_pow(n, mod - 2, mod) % mod;
    long long h = mod_pow(g, tmp, mod);
    if (sign == -1) h = mod_pow(h, mod - 2, mod);
    bit_reverse(a);
    for (int m = 1; m < n; m <<= 1) {
      const int m2 = 2 * m;
      long long _base = mod_pow(h, n / m2, mod);
      long long _w = 1;
      for (int x = 0; x < m; ++x) {
        for (int s = x; s < n; s += m2) {
          long long u = a[s];
          long long d = (a[s + m] * _w) % mod;
          a[s] = (u + d) % mod;
          a[s + m] = (u - d + mod) % mod;
        }
        _w = (_w * _base) % mod;
      }
    }
  }
  void ntt(vector<long long>& input) { _ntt(input, 1); }
  void intt(vector<long long>& input) {
    _ntt(input, -1);
    const long long n_inv = mod_pow(input.size(), mod - 2, mod);
    for (auto& x : input) x = (x * n_inv) % mod;
  }
  vector<long long> convolution(const vector<long long>& a,
                                const vector<long long>& b) {
    int result_size = a.size() + b.size() - 1;
    int n = 1;
    while (n < result_size) n <<= 1;
    vector<long long> _a = a, _b = b;
    _a.resize(n, 0);
    _b.resize(n, 0);
    ntt(_a);
    ntt(_b);
    for (int i = 0; i < n; ++i) _a[i] = (_a[i] * _b[i]) % mod;
    intt(_a);
    _a.resize(result_size);
    return _a;
  }
};
vector<long long> convolution_ntt(vector<long long>& a, vector<long long>& b,
                                  long long mod = 1224736769LL) {
  for (auto& x : a) x %= mod;
  for (auto& x : b) x %= mod;
  long long maxval = max(a.size(), b.size()) *
                     *max_element(a.begin(), a.end()) *
                     *max_element(b.begin(), b.end());
  if (maxval < 1224736769) {
    NTT<1224736769, 3> ntt3;
    return ntt3.convolution(a, b);
  }
  NTT<167772161, 3> ntt1;
  NTT<469762049, 3> ntt2;
  NTT<1224736769, 3> ntt3;
  vector<long long> x1 = ntt1.convolution(a, b);
  vector<long long> x2 = ntt2.convolution(a, b);
  vector<long long> x3 = ntt3.convolution(a, b);
  vector<long long> ret(x1.size());
  vector<long long> mods{167772161, 469762049, 1224736769, mod};
  for (int i = 0; i < x1.size(); ++i) {
    vector<long long> xs{x1[i], x2[i], x3[i], 0};
    ret[i] = _garner(xs, mods);
  }
  return ret;
}
int popcount3(int x) {
  x = (x & 0x55555555) + (x >> 1 & 0x55555555);
  x = (x & 0x33333333) + (x >> 2 & 0x33333333);
  x = (x & 0x0F0F0F0F) + (x >> 4 & 0x0F0F0F0F);
  x = (x & 0x00FF00FF) + (x >> 8 & 0x00FF00FF);
  x = (x & 0x0000FFFF) + (x >> 16 & 0x0000FFFF);
  return x;
}
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  long long n, m;
  cin >> n >> m;
  vector<vector<long long>> e(n);
  for (int(i) = (int)(0); i < (int)(m); i++) {
    long long a, b;
    cin >> a >> b;
    a--;
    b--;
    if (a > b) swap(a, b);
    e[a].push_back(b);
    e[b].push_back(a);
  }
  for (int(i) = (int)(0); i < (int)(n); i++) {
    if (e[i].size() > 0) {
      sort((e[i]).begin(), (e[i]).end());
    }
  }
  vector<long long> ng;
  ng = e[0];
  long long ans = 0;
  set<long long> se;
  for (int(i) = (int)(0); i < (int)(n - 1); i++) se.insert(i + 1);
  long long now = 0;
  for (int(i) = (int)(0); i < (int)(n - 1); i++) {
    long long flag = 0;
    for (auto itr : se) {
      if (binary_search((ng).begin(), (ng).end(), itr) == false) {
        flag = 1;
        now = itr;
        se.erase(itr);
        break;
      }
    }
    if (flag == 0) {
      ans++;
      now = *(se.begin());
      se.erase(now);
    }
    vector<long long> nextNg;
    for (int(j) = (int)(0); j < (int)(e[now].size()); j++) {
      if (binary_search((ng).begin(), (ng).end(), e[now][j]) == true) {
        nextNg.push_back(e[now][j]);
      }
    }
    ng = nextNg;
  }
  cout << ans << endl;
  return 0;
}
