#include "bits/stdc++.h"
using namespace std;

#define say(obj) (cout << (obj) << endl)
#define endline (cout << endl)
#define all(container) (container).begin(), (container).end()
#define sortall(container) (sort((container).begin(), (container).end()))
#define yn(cond) ((cond) ? (cout << "yes" << endl) : (cout << "no" << endl))
#define Yn(cond) ((cond) ? (cout << "Yes" << endl) : (cout << "No" << endl))
#define YN(cond) ((cond) ? (cout << "YES" << endl) : (cout << "NO" << endl))

typedef long long       ll;

typedef vector<int>     vi;
typedef vector<ll>      vll;
typedef vector<double>  vd;
typedef vector<bool>    vb;
typedef vector<char>    vc;
typedef vector<string>  vs;
typedef pair<int, int>  pii;
typedef pair<ll, ll>    pll;
typedef vector<vi>		vvi;
typedef vector<vll>		vvll;
typedef vector<vd>		vvd;
typedef vector<vb>		vvb;
typedef vector<vc>		vvc;
typedef vector<vs>		vvs;
typedef vector<pii>     vpii;
typedef vector<pll>     vpll;

typedef struct edge_ {
	ll to, cost;
	edge_(ll to, ll cost) : to(to), cost(cost) {}
} edge;

typedef struct point_ {
	ll x, y;
	point_(ll x = 0, ll y = 0) : x(x), y(y) {}
} point;

template <typename T>
using mat2d = vector<vector<T>>;

constexpr double	PI = 3.14159265358979323846;
constexpr int		INF = (int)1e7;
constexpr ll		MOD = (ll)1e9 + 7;
constexpr double	EPS = 1e-7;
constexpr int		dy4[4] = { 0, 1, 0, -1 };
constexpr int		dx4[4] = { 1, 0, -1, 0 };
constexpr int		dy8[8] = { 0, 1, 1, 1, 0, -1, -1, -1 };
constexpr int		dx8[8] = { 1, 1, 0, -1, -1, -1, 0, 1 };

template <typename T>
T getSum(std::vector<T>& v) {
	T ret = 0;
	for (T& x : v) ret += x;
	return ret;
}

template <typename T>
istream& operator >> (istream & is, vector<T> & vec) {
	for (T& x : vec) is >> x;  return is;
}

template <typename S, typename T>
istream& operator >> (istream & is, pair<S, T> & p) {
	is >> p.first >> p.second; return is;
}

istream& operator >> (istream & is, point & p) {
	is >> p.x >> p.y;          return is;
}

template <typename T>
ostream& operator << (ostream & os, const vector<T> & vec) {
	for (const T& x : vec) os << x << " "; return os;
}

template <typename T>
ostream& operator << (ostream & os, const vector<vector<T>> & mat) {
	for (const vector<T>& m : mat)
		os << m << endl; return os;
}
template <typename S, typename T>
ostream& operator << (ostream & os, const pair<S, T> & p) {
	os << "{" << p.first << " : " << p.second << "}";
	return os;
}

template <typename T>
ostream& operator << (ostream & os, const set<T> & s) {
	for (const T& x : s) os << x << " ";
	return os;
}

ostream& operator << (ostream & os, const edge e) {
	os << "{to: " << e.to << ", cost: " << e.cost << "}";
	return os;
}

ostream& operator << (ostream & os, const point & p) {
	os << "(" << p.x << " " << p.y << ")";
	return os;
}

/******************************************************************************/
/**********************         Don't make WA !!         **********************/
/******************************************************************************/



int main()
{
	int N, M;
	cin >> N >> M;
	vi k(M);
	vvi s(M);
	vi p(M);
	for (int i = 0; i < M; i++) {
		cin >> k[i];
		for (int j = 0; j < k[i]; j++) {
			int _s;
			cin >> _s;
			s[i].push_back(--_s);
		}
	}
	cin >> p;

	int ans = 0;
	for (int i = 0; i < (1 << N); i++) {
		vi num(M, 0);

		int bit = i;
		int idx = 0;
		while (bit > 0) {
			if ((bit & 1) == 1) {
				for (int r = 0; r < M; r++) {
					bool exist = false;
					for (int c = 0; c < k[r]; c++) {
						if (s[r][c] == idx) {
							exist = true;
							break;
						}
					}
					if (exist)
						num[r]++;
				}
			}
			bit >>= 1;
			idx++;
		}

		bool ok = true;
		for (int j = 0; j < M; j++) {
			if (num[j] % 2 != p[j])
				ok = false;
		}

		if (ok)
			ans++;
	}

	say(ans);

	return 0;
}


Measured memory_bytes: 256