import itertools

def is_lit(i, bit):
    l = [bit[j-1] for j in sockets[i]]
    return p[i] == l.count(True) // 2

count = 0
N, M = map(int, input().split())
bit_list = list(itertools.product([True, False], repeat = N))

sockets = []
for i in range(M):
    args = input().split(' ')
    k = int(args[0])
    sockets.append([int(args[i+1]) for i in range(k)])

p = [int(x) for x in input().split(' ')]

for bit in bit_list:
    o = [is_lit(i, bit) for i in range(M)]
    if o.count(True):
        count += 1

print(count)
