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

namespace CSharp
{
    static class Program
    {
        sealed class Light
        {
            public int[] Switches { get; }
            public int P { get; }

            public Light(int[] switches, int p)
            {
                Switches = switches;
                P = p;
            }

            public bool IsOn(int bit)
            {
                int count = 0;

                foreach (var s in Switches)
                {
                    if ((bit & (1 << (s - 1))) != 0)
                    {
                        count++;
                    }
                }

                return count % 2 == P;
            }
        }

        static void Main(string[] args)
        {
            int n, m;
            ReadInt(out n, out m);

            var K = Enumerable.Repeat(0, m).Select(_ => ReadIntArray()).ToArray();
            var P = ReadIntArray();
            var lights = Enumerable.Range(0, m).Select(i => new Light(K[i].Skip(1).ToArray(), P[i])).ToArray();

            int ans = 0;
            for (int bit = 0; bit < (1 << n); bit++)
            {
                if (lights.All(l => l.IsOn(bit)))
                {
                    ans++;
                }
            }

            Console.WriteLine(ans);
        }

        #region Helpers

        static int[] ReadIntArray() => Console.ReadLine().Split().Select(s => int.Parse(s)).ToArray();
        static long[] ReadLongArray() => Console.ReadLine().Split().Select(s => long.Parse(s)).ToArray();

        static int[] ReadLineIntArray(int count) => Enumerable.Repeat(0, count).Select(_ => int.Parse(Console.ReadLine())).ToArray();
        static long[] ReadLineLongArray(int count) => Enumerable.Repeat(0, count).Select(_ => long.Parse(Console.ReadLine())).ToArray();

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

        static void ReadInt(out int first)
        {
            var array = ReadIntArray();
            first = array[0];
        }

        static void ReadInt(out int first, out int second)
        {
            var array = ReadIntArray();
            first = array[0];
            second = array[1];
        }

        static void ReadInt(out int first, out int second, out int third)
        {
            var array = ReadIntArray();
            first = array[0];
            second = array[1];
            third = array[2];
        }

        static void ReadInt(out int first, out int second, out int third, out int fourth)
        {
            var array = ReadIntArray();
            first = array[0];
            second = array[1];
            third = array[2];
            fourth = array[3];
        }

        static void ReadLong(out long first)
        {
            var array = ReadLongArray();
            first = array[0];
        }

        static void ReadLong(out long first, out long second)
        {
            var array = ReadLongArray();
            first = array[0];
            second = array[1];
        }

        static void ReadLong(out long first, out long second, out long third)
        {
            var array = ReadLongArray();
            first = array[0];
            second = array[1];
            third = array[2];
        }

        static void ReadLong(out long first, out long second, out long third, out long fourth)
        {
            var array = ReadLongArray();
            first = array[0];
            second = array[1];
            third = array[2];
            fourth = array[3];
        }

        #endregion
    }
}

Measured memory_bytes: 13652