# include <bits/stdc++.h>
# define rep(i, n) for(int i=0, i##_len=(n); i<i##_len; ++i)
# define reps(i, n) for(int i=1, i##_len=(n); i<=i##_len; ++i)
# define rrep(i, n) for(int i=((int)(n)-1); i>=0; --i)
# define rreps(i, n) for(int i=((int)(n)); i>0; --i)
# define range_for(i, b, e) for(int i=(b), i##_len=(e); i<=i##_len; ++i)
# define step(n) rep(_, n)
# define ALL(x) (x).begin(), (x).end()
# define RALL(x) (x).rbegin(), (x).rend()
# define Unique(a) a.erase(unique(ALL(a)), a.end())
# define pb push_back
# define len(x) ((int)(x).size())
# define optimize_cin() cin.tie(0); ios::sync_with_stdio(false)
# define debug(x) std::cerr<<#x<<": "<<(x)<<endl;
# define LINT_MAX (LLONG_MAX)
# define LINT_MIN (LLONG_MIN)
# define cauto const auto
using namespace std;
using lint = long long;
template <class Type> inline constexpr Type Square(Type x) { return x * x; }
template <class Type> inline constexpr bool InRange(const Type& x, const Type& i, const Type& a) { return (i <= x) && (x <= a); }
template<class Integer>bool chmax(Integer &a, const Integer &b) { if (a<b) { a=b; return 1; } return 0; }
template<class Integer>bool chmin(Integer &a, const Integer &b) { if (b<a) { a=b; return 1; } return 0; }
template<class Integer>bool IsOdd(Integer &n) { return n & 1; }
template<class Integer>bool IsEven(Integer &n) { return !(n & 1); }
int ctoi(const char c) { return ('0' <= c && c <= '9') ? (c - '0') : -1; }
string YesNo(bool b) { return b ? "Yes" : "No"; }
string YESNO(bool b) { return b ? "YES" : "NO"; }
string yesno(bool b) { return b ? "yes" : "no"; }
void _cin(){} template <class Head, class... Tail> void _cin(Head&& head, Tail&&... tail){ cin >> head; _cin(forward<Tail>(tail)...); }
#define Cin(Type, ...) Type __VA_ARGS__; _cin(__VA_ARGS__)
#define Cinv(Type, xs, n) vector<Type> xs(n); rep(i, n) cin >> xs[i]
#define Cinv2(Type, xs, ys, n) vector<Type> xs(n), ys(n); rep(i, n) cin >> xs[i] >> ys[i]
#define Cinv3(Type, xs, ys, zs, n) vector<Type> xs(n), ys(n), zs(n); rep(i, n) cin >> xs[i] >> ys[i] >> zs[i]
#define Cinvv(Type, xs, h, w) vector<vector<Type>> xs(h, vector<int>(w)); rep(i, h) rep(j, w) cin >> xs[i][j]
void Print() { cout << endl; }
template <class Head, class... Tail> void Print(Head&& head, Tail&&... tail) { cout << head; if (sizeof...(tail) != 0) cout << " "; Print(forward<Tail>(tail)...); }
template <class Type> void Print(vector<Type> &vec) { for (auto& a : vec) { cout << a; if (&a != &vec.back()) cout << " "; } cout << endl; }
template <class Type> void Print(vector<vector<Type>> &df) { for (auto& vec : df) { Print(vec); } }
void Debug() { cerr << endl; }
template <class Head, class... Tail> void Debug(Head&& head, Tail&&... tail) { cerr << head; if (sizeof...(tail) != 0) cerr << " "; Debug(forward<Tail>(tail)...); }
template <class Type> void Debug(vector<Type> &vec) { for (auto& a : vec) { cerr << a; if (&a != &vec.back()) cerr << " "; } cerr << endl; }
template <class Type> void Debug(vector<vector<Type>> &df) { for (auto& vec : df) { Debug(vec); } }

int main()
{
    //////////////////////////////////////////
    ///
    ///    input
    ///
    //////////////////////////////////////////
    Cin(int, N, M);
    vector<int> k(M);
    vector<vector<int>> s(M);
    rep (i, M)
    {
        cin >> k[i];
        rep (m, k[i])
        {
            Cin(int, _s);
            _s--;
            s[i].pb(_s);
        }
    }
    Cinv(int, p, M);

    //////////////////////////////////////////
    ///
    ///    solve
    ///
    //////////////////////////////////////////
    int ans = 0;
    rep (bit, 1 << N)
    {
        set<int> on_set;
        rep (i, N)
        {
            if (bit & (1 << i))
            {
                on_set.insert(i);
            }
        }

        bool ok = true;
        rep (i, M)
        {
            int cnt = 0;
            rep (m, k[i])
            {
                if (on_set.find(s[i][m]) != on_set.end())
                {
                    cnt++;
                }
            }
            ok &= (cnt % 2 == p[i]);
        }
        if (ok)
        {
            ans++;
        }
    }

    Print(ans);

    return 0;
}


Measured memory_bytes: 256