#include <bits/stdc++.h>
bool check(int M, std::vector<char>& sw, std::vector<std::vector<int>>& s,
           std::vector<int>& p) {
  int on = 0;
  for (int i = 0; i < M; i++) {
    int c = 0;
    auto& ks = s[i];
    for (auto& sno : ks) {
      c += sw[sno];
    }
    if (c % 2 == p[i]) on++;
  }
  return (on == M);
}
std::vector<char> cre(int N, int n) {
  std::vector<char> res(N, 0);
  for (int i = N - 1; i >= 0; i--) {
    res[i] = n % 2;
    n /= 2;
  }
}
int main() {
  int N, M;
  std::cin >> N >> M;
  std::vector<std::vector<int>> s(N);
  for (int i = 0; i < M; i++) {
    int k;
    std::cin >> k;
    s[i].reserve(k);
    for (int j = 0; j < k; j++) {
      int sj;
      std::cin >> sj;
      s[i].push_back(sj);
    }
  }
  std::vector<int> p(M);
  for (int i = 0; i < M; i++) {
    std::cin >> p[i];
  }
  int x = 1;
  for (int i = 0; i < N; i++) {
    x *= 2;
  }
  int ans = 0;
  for (int i = 0; i < x; i++) {
    std::vector<char> chk = cre(N, i);
    if (check(M, chk, s, p)) {
      ans++;
    }
  }
  std::cout << ans << std::endl;
  return 0;
}
