using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows;

namespace AtCoder
{
    static class Program
    {
        static void Main()
        {
            //ここから

            var vs = IO.ReadLineToIntList();
            int N = vs[0];
            int M = vs[1];
            List<List<int>> s = new List<List<int>>();
            for(int i = 0; i < M; i++)
            {
                s.Add(IO.ReadLineToIntList());
            }


            var p = IO.ReadLineToIntList();

            var t = new List<bool> { true };
            var f = new List<bool> { false };
            var swiches = new List<List<bool>> { t, f };

            for(var i = 0; i < N-1 ; i++)
            {
                AddSwiches(ref swiches);
            }

            int ans = 0;
            for(int i = 0; i < swiches.Count; i++)
            {
                if (AllLampIsOn(M, swiches[i], s,p)) ans++;
            }

            //ここまで
            Console.WriteLine(ans);
            Console.ReadKey();
        }

        static void AddSwiches(ref List<List<bool>> swiches)
        {
            var num = swiches.Count;
            for(var i = 0; i < num; i++)
            {
                var ss = swiches[i].Select(l=>l).ToList();
                swiches[i].Add(true);
                ss.Add(false);
                swiches.Add(ss);
            }
        }

        //10^2
        static bool AllLampIsOn(int M,List<bool> Swiches,List<List<int>>s,List<int> p)
        {
            for (int i = 0; i < M; i++)
            {
                var ss = s[i].Select(l => l).ToList();
                ss.RemoveAt(0);
                var sum = 0;
                foreach(var S in ss)
                {
                    if (Swiches[S - 1]) sum++;
                }

                if (sum % 2 != p[i])
                {
                    return false;
                }
            }
            return true;
        }


    }

    static class Func
    {
        static long mod = 1000000007;
        static public void Swap<T>(ref T a, ref T b) { T temp = a; a = b; b = temp; }
        static public long GCD(long a, long b) { return b != 0 ? GCD(b, a % b) : a; }
        static public long LCM(long a, long b) { return (long)a * b / GCD(a, b); }
        static public int Factorial(int a) { return a == 1 ? a : a * Factorial(a - 1); }


        public static double ToAngle(this double radian)
        {
            return (double)(radian * 180 / Math.PI);
        }

        public static double ToRadian(this double angle)
        {
            return (double)(angle * Math.PI / 180);
        }

        static public long Conbination(int n,int m)
        {
            if (m == 0) return 1;
            if (n == 0) return 0;
            return n * Conbination(n - 1, m - 1) / m;
        }

        static public void Factoring(long num, ref long[] vs)
        {
            if (num == 1)
            {
                vs[1]++;
            }
            for (long i = 2; i < Math.Sqrt(num); i++)
            {
                if (num % i == 0)
                {
                    vs[i]++;
                    Factoring(num / i, ref vs);
                }
            }
            vs[1]++;
        }
    }

    static class IO
    {
        static public string ReadLineToString() { return Console.ReadLine(); }
        static public int ReadLineToInt() { return int.Parse(Console.ReadLine()); }
        static public long ReadLineToLong() { return long.Parse(Console.ReadLine()); }
        static public List<string> ReadLineToStringList() { return Console.ReadLine().Split(' ').ToList(); }
        static public List<int> ReadLineToIntList() { return Console.ReadLine().Split(' ').Select(int.Parse).ToList(); }
        static public List<long> ReadLineToLongList() { return Console.ReadLine().Split(' ').Select(long.Parse).ToList(); }

        static public List<double> ReadLineToDoubleList() { return Console.ReadLine().Split(' ').Select(double.Parse).ToList(); }

        static public void WriteStrings(object[] strings) { foreach (var o in strings) { Console.Write(o + " "); } }
    }
}

Measured memory_bytes: 15552