#include <stdio.h>
#include <iostream>
#include <string>
#include <vector>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <queue>
#include <deque>
#include <stack>
#include <functional>
#include <algorithm>
#include <cmath>
#include <iomanip>
#include <limits>
#include <utility>

using namespace std;

#define ll long long

#define in(x) cin >> x
#define out(x) cout << x << endl

#define PI acos(-1)
#define pp push_back

#define Yes cout << "Yes" << endl
#define YES cout << "YES" << endl
#define No cout << "No" << endl
#define NO cout << "NO" << endl

#define vec2(type) vector<vector<type>>
#define vec3(type) vector<vector<vector<type>>>

#define For(i, n) for(int i = 0; i < n; i++)

#define inRange(x, a, b) (a <= x && x <= b)
#define between(x, a, b) (a < x && x < b)

template<typename T> void swap(T &a, T &b) {
	T temp = a;
	a = b;
	b = temp;
}

template<typename T> void input(T *data, int n) {
	For(i, n) {
		cin >> data[i];
	}
}

template<typename T> void input(vector<T> &vec, int n) {
	T temp;
	For(i, n) {
		cin >> temp;
		vec.push_back(temp);
	}
}

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

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

void rstring(string &str) {
	string temp = str;

	For(i, (int)str.size()) {
		str[i] = temp[(str.size() - 1) - i];
	}
}

struct Vec {
	int x, y;
	Vec():
		x(0), y(0) {}
	Vec(int _x, int _y):
		x(_x), y(_y) {}
};

template<typename T> void print(T *x, int n) {
	For(i, n) {
		cout << x[i] << " ";
	}
	cout << endl;
}

template<typename T> void print(vector<T> &x) {
	For(i, (int)x.size()) {
		cout << x[i] << " ";
	}
	cout << endl;
}

template<typename T>
T gcd(T n, T m) {
	if (n % m == 0) {
		return m;
	} else {
		return gcd<T>(m, n % m);
	}
}

template<typename T> T binarySearch(vector<T> a, T target) {
	int cur = (int)a.size() / 2;
	int upper = (int)a.size() - 1;
	int buttom = 0;
	while (1) {
		if (a[cur] == target) {
			return a[cur];
		} else if (a[cur] > target) {
			upper = cur;
			cur = (buttom + cur) / 2;
		} else {
			buttom = cur;
			cur = (cur + upper) / 2;
		}
	}
}

template<typename T> T binarySearch(vector<T> a, T func(T), T target) {
	int cur = (int)a.size() / 2;
	int upper = (int)a.size() - 1;
	int buttom = 0;
	while (1) {
		int value = func(a[cur]);
		if (value == target) {
			return a[cur];
		} else if (value > target) {
			upper = cur;
			cur = (buttom + cur) / 2;
		} else {
			buttom = cur;
			cur = (cur + upper) / 2;
		}
	}
}

struct UnionFind {
	vector<int> par; // par[i]:iの親の番号　(例) par[3] = 2 : 3の親が2

	UnionFind(int N) : par(N) { //最初は全てが根であるとして初期化
		for (int i = 0; i < N; i++) par[i] = i;
	}
	UnionFind() {}

	int root(int x) { // データxが属する木の根を再帰で得る：root(x) = {xの木の根}
		if (par[x] == x) return x;
		return par[x] = root(par[x]);
	}

	void unite(int x, int y) { // xとyの木を併合
		int rx = root(x); //xの根をrx
		int ry = root(y); //yの根をry
		if (rx == ry) return; //xとyの根が同じ(=同じ木にある)時はそのまま
		par[rx] = ry; //xとyの根が同じでない(=同じ木にない)時：xの根rxをyの根ryにつける
	}

	bool same(int x, int y) { // 2つのデータx, yが属する木が同じならtrueを返す
		int rx = root(x);
		int ry = root(y);
		return rx == ry;
	}

	int size() {
		int count = 0;
		for (int i = 0; i < (int)par.size(); i++) {
			if (par[i] == i) {
				count++;
			}
		}
		return count;
	}
};

int main() {

	int n, m;
	int k[10];
	int s[10][10] = {0};
	int p[10] = {0};

	cin >> n >> m;

	For(i, m){
		cin >> k[i];
		For(j, k[i]){
			cin >> s[i][j];
		}
	}

	input(p, m);

	int ans = 0;
	for(unsigned ll i = 0; i < ((unsigned ll)1 << n); i++){
		bool flug = true;
		For(j, m){
			int count = 0;
			For(l, k[j]){
				if((i >> (s[j][l] - 1)) & 1){
					count++;
				}
			}
			if(count % 2 != p[j]){
				flug = false;
				break;
			}
		}
		if(flug){
			ans++;
		}
	}

	out(ans);


	return 0;

}

Measured memory_bytes: 256