#include "bits/stdc++.h"
#define rep(i, j) for (int i = 0; i < j; i++)
using namespace std;
using ll = long long;
using P = pair<int, int>;
using ull = unsigned long long;

ll gcd(ll x, ll y);
int fac(ll n, vector<int> num);

const int INF = 1001001001;

//mint�p�̒萔 (10��9��)
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, const mint & a) { return is >> a.x; }
ostream& operator<<(ostream & os, const mint & a) { return os << a.x; }

int n, m;
vector<int> k(0);
vector<vector<int> > s(0);
vector<int> p(0);
int ans = 0;

void dfs(vector<int> a_array) {
    if (a_array.size() == n) {
        int flag = 0;
        rep(i, m) {
            int num = 0;
            for (int j : s[i]) {
                if (a_array[j - 1] == 1)
                    num++;
            }

            if (num % 2 == p[i]) flag++;
        }

        if (flag == m)
            ans++;
    }
    else {
        rep(i, 2) {
            a_array.emplace_back(i);
            dfs(a_array);
            a_array.erase(a_array.begin() + a_array.size() - 1);
        }
    }
}

int main() {
    cin >> n >> m;
    rep(i, m) {
        vector<int> a(0);
        s.emplace_back(a);
    }
    rep(i, m) {
        int num;
        cin >> num;
        k.emplace_back(num);

        rep(j, k[i]) {
            int n1;
            cin >> n1;
            s[i].emplace_back(n1);
        }
    }
    rep(i, m) {
        int num;
        cin >> num;
        p.emplace_back(num);
    }

    vector<int> a_array(0);
    dfs(a_array);

    cout << ans << endl;
    return 0;
}

/*���C�u�����ő����*/
//���[�O���b�h�̌ݏ��@
ll gcd(ll x, ll y) {
    ll num[3];
    num[0] = (x > y) ? x : y;
    num[1] = (x <= y) ? x : y;
    num[2] = num[0] % num[1];

    while (num[2]) {
        num[0] = num[1];
        num[1] = num[2];
        num[2] = num[0] % num[1];
    }

    return num[1];
}

/*�f��������*/
//���색�C�u����
int fac(ll n, vector<int> num) {
    ll kazu = n;
    for (int i = 2; i <= sqrt(n); i++) {
        while (1) {
            if (kazu % i != 0) break;

            kazu /= i;
            num[i]++;
        }
    }
    if (kazu == n && n != 1) return 1;
    int ans = 0;
    if (kazu != 1) ans++;
    for (int i = 2; i <= sqrt(n); i++) {
        for (int j = 1; j <= num[i]; j++) {
            num[i] -= j;
            ans++;
        }
    }
    return ans;
}

Measured memory_bytes: 3728