using System;
using System.Collections.Generic;
using System.Linq;
using static System.Math;

namespace ConsoleApp1
{
    class Program
    {
        static void Main(string[] args)
        {
            A();
        }

        static void A()
        {
            var NM = ReadSplitInt();
            var N = NM[0];
            var M = NM[1];

            var list = new List<List<int>>();
            for (int i = 0; i < M; i++)
            {
                var l = ReadSplitInt();
                l.RemoveAt(0);
                list.Add(l);
            }

            var P = ReadSplitInt();
            var ans = 0;

            for (int i = 0; i < Pow(2, N); i++)
            {
                var a = new int[N + 1];
                for (int j = 0; j < N; j++)
                {
                    if ((i >> j & 1) == 1)
                    {
                        a[j + 1] = 1;
                    }
                }

                var ok = true;
                for (int k = 0; k < list.Count; k++)
                {
                    var l = list[k];
                    var count = 0;
                    foreach (var s in l)
                    {
                        if (a[s] == 1)
                            count++;
                    }

                    if (count % 2 != P[k])
                    {
                        ok = false;
                    }
                }

                if (ok) ans++;
            }
            Println(ans);
        }

        static IEnumerable<int> Range(int start, int stop)
        {
            if (start < 0 || stop < 0 || start > stop || (start <= 0 && stop <= 0))
                return new List<int>();

            return Enumerable.Range(start, stop - start);
        }

        static bool IsDigit(string str)
        {
            var i = 0;
            return int.TryParse(str, out i);
        }

        static int DigitsSum(long num)
        {
            return num.ToString().Select(x => x.ToString()).Sum(int.Parse);
        }

        static int[] ToIntArray(string str)
        {
            return str.Select(x => x.ToString()).Select(int.Parse).ToArray();
        }

        static int Gcd(int a, int b) => b == 0 ? a : Gcd(b, a % b);

        static bool IsPrime(int x)
        {
            if (x <= 1 || (x != 2 && x % 2 == 0)) return false;
            if (x == 2) return true;

            for (int i = 3; i < x; i += 2)
                if (x % i == 0) return false;

            return true;
        }

        static string Read() => Console.ReadLine();
        static int ReadInt() => int.Parse(Read());
        static long ReadLong() => long.Parse(Read());

        static List<string> ReadSplit() => Read().Split().ToList();
        static List<int> ReadSplitInt() => Read().Split().Select(int.Parse).ToList();
        static List<long> ReadSplitLong() => Read().Split().Select(long.Parse).ToList();

        static void Print(object value) => Console.Write(value.ToString());
        static void Println(object value) => Console.WriteLine(value.ToString());

        static string Join<T>(IEnumerable<T> list) => string.Join("", list);
    }

    public static class MyExtensions
    {
        public static string Slice(this string str, int start = 0, int stop = 0)
        {
            if (start > str.Length || stop > str.Length || start < 0 || stop < 0)
                return "";

            if (stop == 0) stop = str.Length;
            return str.Substring(start, stop - start);
        }
    }
}

Measured memory_bytes: 13396