#include <bits/stdc++.h>
using namespace std;
int main(void) {
  int N, M;
  cin >> N >> M;
  vector<vector<int>> vec(M);
  for (int i = 0; i < M; ++i) {
    int k;
    cin >> k;
    vec[i].resize(k);
    for (int j = 0; j < k; ++j) {
      cin >> vec[i][j];
      --vec[i][j];
    }
  }
  vector<int> p(M);
  for (int i = 0; i < M; ++i) cin >> p[i];
  int ans = 0;
  for (int i = 0; i < (1 << N); ++i) {
    bool ok = true;
    for (int j = 0; j < M; ++j) {
      int c = 0;
      for (int id : vec[j]) {
        if ((i >> id) & 1) {
          ++c;
        }
      }
      c %= 2;
      if (c != p[j]) {
        ok = false;
      }
    }
    if (ok) {
      ++ans;
    }
  }
  cout << ans << endl;
  return 0;
}
