#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx,avx2")
template <typename A, typename B>
string to_string(pair<A, B> p);
template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p);
template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p);
string to_string(const string& s) { return '"' + s + '"'; }
string to_string(const char* s) { return to_string((string)s); }
string to_string(bool b) { return (b ? "true" : "false"); }
string to_string(vector<bool> v) {
  bool first = true;
  string res = "{";
  for (int i = 0; i < static_cast<int>(v.size()); i++) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(v[i]);
  }
  res += "}\n";
  return res;
}
template <size_t N>
string to_string(bitset<N> v) {
  string res = "";
  for (size_t i = 0; i < N; i++) {
    res += static_cast<char>('0' + v[i]);
  }
  return res;
}
template <typename A>
string to_string(A v) {
  bool first = true;
  string res = "{";
  for (const auto& x : v) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(x);
  }
  res += "}\n";
  return res;
}
template <typename A, typename B>
string to_string(pair<A, B> p) {
  return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}
template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " +
         to_string(get<2>(p)) + ")";
}
template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " +
         to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")";
}
template <typename A, typename B, typename C, typename D, typename E>
string to_string(tuple<A, B, C, D, E> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " +
         to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + "," +
         to_string(get<4>(p)) + ")";
}
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
  cerr << " " << to_string(H);
  debug_out(T...);
}
using pii = pair<int, int>;
using ll = long long;
const ll MOD = 1e9 + 7;
const long double PI = acos(-1.0);
void solve() {
  int n;
  cin >> n;
  int m;
  cin >> m;
  vector<vector<int>> inputs(n);
  for (int i = 0; i < n; i++) {
    int k;
    cin >> k;
    for (int j = 0; j < k; j++) {
      int v;
      cin >> v;
      v -= 1;
      inputs[i].push_back(v);
    }
  }
  ll ans = n;
  set<int> ansIdx;
  for (int i = 0; i < n; i++) {
    ansIdx.insert(i);
  }
  vector<int> mark(m + 1, -1);
  for (int i = 0; i < n; i++) {
    if ((int)inputs[i].size() == 1) {
      mark[inputs[i][0]] = i;
    }
  }
  for (int i = 0; i < n; i++) {
    if ((int)inputs[i].size() == 2) {
      int fi = inputs[i][0];
      int se = inputs[i][1];
      if (mark[fi] != -1 && mark[se] != -1) {
        ans -= 1;
        int mx = max({mark[fi], mark[se], i});
        ansIdx.erase(mx);
      }
    }
  }
  ll pow = (1LL << ans);
  pow %= MOD;
  cout << pow << " " << ans << "\n";
  for (auto x : ansIdx) {
    cout << x + 1 << " ";
  }
  cout << "\n";
}
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  solve();
}
