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

namespace Sample
{
    public class Program
    {
        static int[] ps;
        static int m;
        static Dictionary<int, List<int>> dic;
        public static void Main(string[] args)
        {
            using (var sc = new SetConsole()) { Solve(); }
        }

        public static void Solve()
        {
            var nm = GetArray<int>();
            m = nm[1];
            var list = new int[nm[0] + 1];

            dic = new Dictionary<int, List<int>>();
            for (int i = 1; i <= m; i++)
            {
                var input = GetArray<int>().ToList();
                input.RemoveAt(0);
                dic.Add(i, input);                
            }
            ps = GetArray<int>();
            var result = Recur(1, list, 0) + Recur(1, list, 1);
            if (result > 1)
            {
                CWrite(result / 2); return;
            }
            CWrite(result);
        }

        public static int Recur(int index, int[] array, int value)
        {
            if (array.Length <= index) { return 0; }
            array[index] = value;
            var result = true;
            for (int i = 1; i <= m; i++)
            {
                var count = 0;
                var switches = dic[i];
                foreach (var item in switches)
                {
                    count += array[item];
                }
                if (ps[i - 1] % 2 != count % 2)
                {
                    result = false;
                }
            }
            return Recur(index + 1, array, 1) + Recur(index + 1, array, 0) + (result ? 1 : 0);
        }

        static void CWrite<T>(T str) => Console.WriteLine(str);
        static string GetString() => Console.ReadLine();
        static T[] GetArray<T>()
        {
            var str = Console.ReadLine();
            if (str == null) { throw new ArgumentNullException("標準入力がnullです 解答がおかしいはずです"); }

            var t = typeof(T);
            if (t == typeof(string))
            {
                return (T[])(object)str.Split();
            }
            if (t == typeof(int))
            {
                return (T[])(object)str.ToNumArray<T>();
            }
            if (t == typeof(long))
            {
                return (T[])(object)str.ToNumArray<T>();
            }
            if (t == typeof(double))
            {
                return (T[])(object)str.ToNumArray<T>();
            }
            throw new NotSupportedException($"{t} is not supported.");
        }
    }



    class SetConsole : IDisposable
    {
        readonly StreamWriter sw = new StreamWriter(Console.OpenStandardOutput());
        public SetConsole()
        {
            sw.AutoFlush = false;
            Console.SetOut(sw);
        }
        public void Dispose()
        {
            Console.Out.Flush();
            sw.AutoFlush = true;
            Console.SetOut(sw);
        }
    }

    static class ExtentionsLibrary
    {
        public static T[] CopyArray<T>(this T[] array)
        {
            var newArray = new T[array.Length];
            Array.Copy(array, newArray, array.Length);
            return newArray;
        }
        public static T[,] CopyArray<T>(this T[,] array)
        {
            var firstDimentionLength = array.GetLength(0);
            var secondDimentionLength = array.GetLength(1);
            var newDArray = new T[firstDimentionLength, secondDimentionLength];
            Array.Copy(array, newDArray, firstDimentionLength * secondDimentionLength);
            return newDArray;
        }
        public static T[] ToNumArray<T>(this string str)
        {
            var t = typeof(T);
            if (t == typeof(int))
            {
                return (T[])(object)str.Split().Select(int.Parse).ToArray();
            }
            if (t == typeof(long))
            {
                return (T[])(object)str.Split().Select(long.Parse).ToArray();
            }
            if (t == typeof(double))
            {
                return (T[])(object)str.Split().Select(double.Parse).ToArray();
            }
            throw new NotSupportedException();
        }
        public static int ToInt(this string str) => int.Parse(str);
        public static int ToInt(this char chr) => int.Parse(chr.ToString());
        public static long ToLong(this string str) => long.Parse(str);
        public static DateTime ToDateTime(this string str) => DateTime.Parse(str);
    }
}
