n, m = map(int, input().split())

k = []
s = []
for _ in range(m):
    ks = list(map(int, input().split()))
    k.append(ks[0])
    s.append(ks[1:])
p = list(map(int, input().split()))

for bits in range(2**n):
    ans = 0
    for i in range(m):
        flag = True
        on_sum = 0
        for switch in s[i]:
            on_sum += ((bits >> (switch - 1)) & 1)
        flag = flag and ((on_sum % 2) == p[i])
    if flag:
        ans += 1

print(ans)


