using AtCoderBeginnerContest128.Questions;
using AtCoderBeginnerContest128.Extensions;
using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Text;

namespace AtCoderBeginnerContest128.Questions
{
    public class QuestionC : AtCoderQuestionBase
    {
        public override IEnumerable<object> Solve(TextReader inputStream)
        {
            var nm = inputStream.ReadIntArray();
            var switchCount = nm[0];
            var bulbCount = nm[1];

            var bulbSwitches = new int[bulbCount][];
            for (int i = 0; i < bulbCount; i++)
            {
                bulbSwitches[i] = inputStream.ReadIntArray().Skip(1).Select(n => n - 1).ToArray();
            }

            var switchMods = inputStream.ReadIntArray();

            var count = 0;

            for (int switchFlag = 0; switchFlag < (1 << switchCount); switchFlag++)
            {
                var isAllOn = true;
                for (int bulbIndex = 0; bulbIndex < bulbSwitches.Length; bulbIndex++)
                {
                    var onCount = bulbSwitches[bulbIndex].Count(s => (switchFlag & (1 << s)) > 0);
                    if (onCount % 2 != switchMods[bulbIndex])
                    {
                        isAllOn = false;
                        break;
                    }
                }

                if (isAllOn)
                {
                    count++;
                }
            }

            yield return count;
        }
    }
}


namespace AtCoderBeginnerContest128
{
    class Program
    {
        static void Main(string[] args)
        {
            IAtCoderQuestion question = new QuestionC();    // 問題に合わせて書き換え
            var answers = question.Solve(Console.In);
            foreach (var answer in answers)
            {
                Console.WriteLine(answer);
            }
        }
    }
}

#region Base Classes

namespace AtCoderBeginnerContest128.Questions
{

    public interface IAtCoderQuestion
    {
        IEnumerable<object> Solve(string input);
        IEnumerable<object> Solve(TextReader inputStream);
    }

    public abstract class AtCoderQuestionBase : IAtCoderQuestion
    {
        public IEnumerable<object> Solve(string input)
        {
            var stream = new MemoryStream(Encoding.Unicode.GetBytes(input));
            var reader = new StreamReader(stream, Encoding.Unicode);

            return Solve(reader);
        }

        public abstract IEnumerable<object> Solve(TextReader inputStream);
    }

}

#endregion

#region Extensions

namespace AtCoderBeginnerContest128.Extensions
{
    internal static class TextReaderExtensions
    {
        internal static int ReadInt(this TextReader reader) => int.Parse(ReadString(reader));
        internal static long ReadLong(this TextReader reader) => long.Parse(ReadString(reader));
        internal static double ReadDouble(this TextReader reader) => double.Parse(ReadString(reader));
        internal static string ReadString(this TextReader reader) => reader.ReadLine();

        internal static int[] ReadIntArray(this TextReader reader, char separator = ' ') => ReadStringArray(reader, separator).Select(int.Parse).ToArray();
        internal static long[] ReadLongArray(this TextReader reader, char separator = ' ') => ReadStringArray(reader, separator).Select(long.Parse).ToArray();
        internal static double[] ReadDoubleArray(this TextReader reader, char separator = ' ') => ReadStringArray(reader, separator).Select(double.Parse).ToArray();
        internal static string[] ReadStringArray(this TextReader reader, char separator = ' ') => reader.ReadLine().Split(separator);
    }
}

#endregion

Measured memory_bytes: 13524