# coding:utf-8
# CCCCCCCCCCCC

import math
import re

def inclement_bi(i):
    return bin(i)

def main(params):
    result = 0
    n,m = params[0]
    ks = params[1:]
    ps = ks.pop(-1).split()
    for i in range(2**n):
        bi = str(inclement_bi(i)).replace('0b','')
        if len(bi) < n:
            bi = '0' * (n-len(bi)) + bi
        cnt = 0
        chk = True
        for j in ks:
            tmp = j.split()
            k = tmp[0]
            s = tmp[1:]
            p = int(ps[cnt])
            total = 0
            for si in s:
                si = int(si) - 1
                if bi[si] == '1':
                    total += 1
            cnt += 1
            if total % 2 != p:
                chk = False
                break
        if chk == True:
            result += 1
    print result

if __name__ == "__main__":
    n,m = [int(i) for i in raw_input().split()]
    cnt = m + 1 # TODO: edit here
    params = [[n,m]]
    for i in range(cnt):
        param = raw_input()
        params.append(param)
    main(params)

