#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vi = vector<int>;
using vi2 = vector<vector<int>>;
using vb = vector<bool>;
using vb2 = vector<vector<bool>>;
using vc = vector<char>;
using vc2 = vector<vector<char>>;
using vs = vector<string>;
using si = set<int>;
using vs2 = vector<vector<string>>;
using pii = pair<int, int>;
using mii = map<int, int>;
const int INF = 1e9;
const ll LINF = 1e18;
const long double PI = acos(-1.0);

#define MP(a,b) make_pair((a),(b))
#define MT(...) make_tuple(__VA_ARGS__)
#define sz(x) (int)(x).size()
 
#define FOR(i,a,b) for(int i=(a);i<(b);i++)
#define REP(i,x) for(int i=0;i<(int)(x);i++)
#define REPS(i,x) for(int i=1;i<=(int)(x);i++)
#define RREP(i,x) for(int i=((int)(x)-1);i>=0;i--)
#define RREPS(i,x) for(int i=((int)(x));i>0;i--)
 
#define ALL(x) (x).begin(),(x).end()
#define RALL(x) (x).rbegin(),(x).rend()
#define SORT(v) sort(ALL(v));
#define RSORT(v) sort(RALL(v));
#define IN(type,a) type a;cin >> a;
#define VIN(type,a,n) vector<type> a(n);cin >> a;
#define YES(n) cout << ((n) ? "YES" : "NO"  ) << endl;
#define Yes(n) cout << ((n) ? "Yes" : "No"  ) << endl;
#define COUT(x) cout << (x) << endl;
#define DCOUT(x,n) cout << fixed << setprecision(n) << (x) << endl;
#define ENDL cout << endl;
#define DB(s,x) cout << (s) << " : " << x << endl;
 
#define HOGE COUT("HOGE")
 
template<typename T>inline istream& operator>>(istream&i,vector<T>&v)
{REP(j,sz(v))i>>v[j];return i;}
 
template<typename T> bool chmax(T& a, const T& b){if(a<b){a=b;return true;}return false;}
template<typename T> bool chmin(T& a, const T& b){if(a>b){a=b;return true;}return false;}
template<typename T> T gcd(T a,T b){if(b==0){return a;}else{return gcd(b, a%b);}}



const int mod = 1000000007;
struct mint {
  ll x; // typedef long long ll;
  mint(ll x=0):x((x%mod+mod)%mod){}
  mint operator-() const { return mint(-x);}
  mint& operator+=(const mint a) {
    if ((x += a.x) >= mod) x -= mod;
    return *this;
  }
  mint& operator-=(const mint a) {
    if ((x += mod-a.x) >= mod) x -= mod;
    return *this;
  }
  mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;}
  mint operator+(const mint a) const { return mint(*this) += a;}
  mint operator-(const mint a) const { return mint(*this) -= a;}
  mint operator*(const mint a) const { return mint(*this) *= a;}
  mint pow(ll t) const {
    if (!t) return 1;
    mint a = pow(t>>1);
    a *= a;
    if (t&1) a *= *this;
    return a;
  }

  // for prime mod
  mint inv() const { return pow(mod-2);}
  mint& operator/=(const mint a) { return *this *= a.inv();}
  mint operator/(const mint a) const { return mint(*this) /= a;}
};
istream& operator>>(istream& is, mint& a) { return is >> a.x;}
ostream& operator<<(ostream& os, const mint& a) { return os << a.x;}
 
int main() {
    int n,m;
    cin >> n >> m;
    vector<vector<bool>> a(m,vector<bool>(n,false));
    REP(i, m){
        IN(int, k)
        REP(j, k){
            IN(int, l);
            a[i][l-1] = true;
        }
    }
    VIN(int, p, m);
    
    int ans = 0;
    for (int bit = 0; bit<(1<<n); bit++) {
        bool flag = true;
        REP(i, m){
            int num = 0;
            REP(j, n){
                if ((bit&(1<<j))&&(a[i][j])) {
                    num++;
                }
            }
            if (num%2!=p[i]) {
                flag=false;
                break;
            }
        }
        if (flag) {
            ans++;
        }
    }
    COUT(ans);
}


Measured memory_bytes: 3612