#include <iostream>
#include <vector>
#include <deque>
#include <algorithm>
#include <numeric>
#include <string>
#include <cstring>
#include <list>
#include <unordered_set>
#include <tuple>
#include <cmath>
#include <limits>
#include <type_traits>
#include <iomanip>
#include <unordered_map>
using namespace std;

using lint = long long;
using uli = unsigned long long;

uli gcd(uli a, uli b) {
	while (1) {
		if (a < b) swap(a, b);
		if (!b) break;
		a %= b;
	}
	return a;
}

uli lcm(uli a, uli b)
{
	return a / gcd(a, b) * b;
}

const uli mod = 1000000007;
const double pi = 3.141592653589793238462;
const lint intmax = 9223372036854775807;

uli _PowMod(uli x, uli y, uli _mod)
{
	if (y == 0)
	{
		return 1;
	}
	else if (y == 1)
	{
		return x % _mod;
	}
	else if (y % 2 == 0)
	{
		auto tmp = _PowMod(x, y / 2, _mod);
		return tmp * tmp % _mod;
	}
	else
	{
		auto tmp = _PowMod(x, y / 2, _mod);
		return (tmp * tmp % _mod) * x % _mod;
	}
}


uli PowMod(uli x, uli y)
{
	return _PowMod(x, y, mod);
}

uli getModInv(uli N)
{
	return PowMod(N, mod - 2);
}

lint nCrMod(lint start, lint n, lint r)
{
	if (n < r)
	{
		return 0;
	}
	lint a = start;
	for (size_t i = n; i >= n - r + 1; i--)
	{
		a *= i;
		a %= mod;
	}
	for (size_t i = 1; i <= r; i++)
	{
		a *= getModInv(i);
		a %= mod;
	}
	return a;
}

lint nHrMod(lint start, lint n, lint r)
{
	return nCrMod(start, n + r - 1, r);
}

lint _nCrMod(lint start, lint n, lint r)
{
	if (n <= 0)
	{
		return 0;
	}
	return nCrMod(start, n, r);
}

struct uf
{
	vector<lint> p;

	uf(lint n) : p(n)
	{
		for (size_t i = 0; i < n; i++)
		{
			p[i] = i;
		}
	}

	lint rt(lint n)
	{
		return p[n] == n ? n : p[n] = rt(p[n]);
	}

	void un(lint n, lint m)
	{
		p[rt(n)] = p[rt(m)];
	}

	bool eq(lint n, lint m)
	{
		return rt(n) == rt(m);
	}
};

bool lineCol(lint a1x, lint a1y, lint a2x, lint a2y, lint b1x, lint b1y, lint b2x, lint b2y)
{
	auto ta = (b1x - b2x) * (a1y - b1y) + (b1y - b2y) * (b1x - a1x);
	auto tb = (b1x - b2x) * (a2y - b1y) + (b1y - b2y) * (b1x - a2x);
	auto tc = (a1x - a2x) * (b1y - a1y) + (a1y - a2y) * (a1x - b1x);
	auto td = (a1x - a2x) * (b2y - a1y) + (a1y - a2y) * (a1x - b2x);

	return tc * td < 0 && ta * tb < 0;
}

lint powInt(lint a, lint b)
{
	if (b == 0)
	{
		return 1;
	}
	if (b == 1)
	{
		return a;
	}
	lint tmp = powInt(a, b / 2);
	return (b % 2 == 1 ? a * tmp * tmp : tmp * tmp);
}

lint _sMod(string n, lint mod)
{
	lint k = (n[0] - '0') % mod;
	for (size_t i = 1; i < n.length(); i++)
	{
		k *= 10;
		k += (n[i] - '0');
		k %= mod;
	}
	return k;
}

#define vec(name, n)			vector<lint> name(n)
#define vec_(name, n, init)		vector<lint> name(n, init)

#define vecs(name, n)			vector<string> name(n)
#define vect(t, name, n)		vector<t> name(n)

#define vec2(name, n, m)		vector<vector<lint>> name(n, vector<lint>(m))
#define vec2_(name, n, m, init)	vector<vector<lint>> name(n, vector<lint>(m, init))

#define rep(i,n)	for(lint i = 0; i < n; i++)
#define repi(i,n,z)	for(lint i = z; i < n; i++)
#define mmax(a,b)	max((lint)a, (lint)b)
#define mmin(a,b)	min((lint)a, (lint)b)

template<typename T>
void vsort(vector<T>& v)
{
	sort(v.begin(), v.end());
}

template<typename T>
void vsortr(vector<T>& v)
{
	sort(v.rbegin(), v.rend());
}

lint div2(lint p, lint q)
{
	return (p + q - 1) / q;
}

struct xy
{
	lint x, y;
	xy() :x(0), y(0) {}
	xy(lint _x, lint _y) : x(_x), y(_y) {}
};

template<class It, class T>
bool exist(It begin, It end, const T& val)
{
	return find(begin, end, val) != end;
}

template<class It, class Pr>
bool exist_if(It begin, It end, Pr pred)
{
	return find_if(begin, end, pred) != end;
}

lint n_dig(lint n)
{
	lint ans = 0;
	while (n > 0)
	{
		n /= 10;
		ans++;
	}
	return ans;
}

template<class T, class T2>
T2 ler(T val1, T val2, T2 l, T2 e, T2 r)
{
	if (val1 < val2)
		return r;
	if (val1 > val2)
		return l;
	return e;
}

const lint alpn = 'z' - 'a' + 1;

template<class T>
T sgn(T val)
{
	if (val == T(0))
		return T(0);
	if (val < 0)
		return T(-1);
	if (val > 0)
		return T(1);
}

template<class T>
bool between(T val, T l, T r)
{
	return (val >= l) && (val <= r);
}

#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()

template<class It>
vector<lint> carr(It begin, It end) {
	vec(c, 0);
	c.push_back(1);
	auto before = *begin;
	for (auto it = begin + 1; it != end; it++) {
		if (before != *it) {
			c.push_back(0);
			before = *it;
		}
		c.back()++;
	}
	return c;
}

template<class T>
struct nval {
	lint n;
	T val;
	nval() : n(0) {};
	nval(lint _n, T _val) : n(_n), val(_val) {};
};

template<class It>
auto carr2(It begin, It end) {
	using T = nval<remove_reference_t<decltype(*begin)>>;

	vect(T, c, 0);
	c.push_back(T(1, *begin));
	auto before = *begin;
	for (auto it = begin + 1; it != end; it++) {
		if (before != *it) {
			c.push_back(T(0, *it));
			before = *it;
		}
		c.back().n++;
	}
	return c;
}

lint sumdig(lint n) {
	lint ans = 0;
	while (n > 0) {
		ans += n % 10;
		n /= 10;
	}
	return ans;
}

lint getdig(lint n, lint d) {
	return (n / powInt(10, d)) % 10;
}

template<typename It, typename T>
void sort2(It begin, It end, T It::value_type::*p)
{
	using val_t = remove_reference_t<decltype(*begin)>;

	sort(begin, end, [p](val_t a, val_t b) {return a.*p < b.*p; });
}

template<typename It, typename T, typename T2>
void sort3(It begin, It end, T It::value_type::* p, T2 It::value_type::* p2)
{
	using val_t = remove_reference_t<decltype(*begin)>;

	sort(begin, end, [p, p2](val_t a, val_t b) {
		if (a.*p != b.*p) { return  a.*p < b.*p; }
		else { return a.*p2 > b.*p2; }
	});
}

int main()
{
	lint n, m;
	cin >> n >> m;

	vec(k, m);
	vec2(s, m, 0);

	rep(i, m) {
		cin >> k[i];
		s[i].resize(k[i]);
		rep(j, k[i]) {
			cin >> s[i][j];
		}
	}

	vec(p, m);
	rep(i, m)
		cin >> p[i];

	lint ans = 0;
	rep(i, 1 << n) {

		rep(j, m) {
			lint on = 0;
			rep(sw, k[j]) {
				if (i & 1 << (s[j][sw]-1)) {
					on++;
				}
			}
			if (on%2 != p[j]) {
				goto no;
			}
		}
		ans++;
	no:;
	}
	cout << ans << endl;
	return 0;
}


Measured memory_bytes: 256