N = int(N)
M = int(M)
line_list = []
for i in range(M):
    line = input().split()
    new_list=[]
    for l in line:
        new_list.append(int(l))
    new_list.pop(0)
    line_list.append(new_list)
old_p_list = input().split()
p_list = []
for p in old_p_list:
    p_list.append(int(p))
#　スイッチ組み合わせ
import itertools
A = []
for n in range(N):
    A.append([True,False])
pattern_list = list(itertools.product(*A))
pattern_num = 0
for pattern in pattern_list:
    ok_flug = 1
    for i, line in enumerate(line_list):
            on_num = 0
            for l in line:
                if pattern[l-1]:
                    on_num += 1
            if on_num%2 != p_list[i]:
                ok_flug = 0
    if ok_flug == 1:
        pattern_num += 1
print(pattern_num)