#include <bits/stdc++.h>
using namespace std;
int main() {
  int N, M;
  cin >> N >> M;
  int k[M];
  int s[M][N];
  int p[M];
  int i2str[10];
  int answer = 0;
  int check = 0;
  int i, j, l;
  for (i = 0; i < M; i++) {
    cin >> k[i];
    for (j = 0; j < k[i]; j++) {
      cin >> s[i][j];
    }
  }
  for (i = 0; i < M; i++) {
    cin >> p[M];
  }
  for (i = 0; i < pow(2, N); i++) {
    bool ok = true;
    for (l = 0; l < 10; l++) {
      i2str[l] = i % 2;
      i /= 2;
    }
    for (j = 0; j < k[i]; j++) {
      check += i2str[s[i][j] - 1];
      if (check % 2 != p[i]) {
        ok = false;
        break;
      }
    }
    answer += ok;
  }
  cout << answer;
  return 0;
}
