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