from itertools import combinations

def getval():
    n,m = map(int,input().split())
    s = [list(map(int,input().split())) for i in range(m)]
    for i in range(m):
        for j in range(1,s[i][0]+1):
            s[i][j] -= 1
    p = list(map(int,input().split()))
    return n,m,s,p 

def main(n,m,s,p):
    l = [[] for i in range(n)]
    for i in range(m):
        for j in range(1,s[i][0]+1):
            l[s[i][j]].append(i)
    ans = 0
    for i in range(n+1):
        for c in combinations(range(n),i):
            temp = [0 for i in range(m)]
            for j in c:
                for k in l[j]:
                    temp[k] += 1
                    temp[k] %= 2
            if temp==p:
                ans += 1
    print(ans)

if __name__=="__main__":
    n,m,s,p = getval()
    main(n,m,s,p)from itertools import combinations

def getval():
    n,m = map(int,input().split())
    s = [list(map(int,input().split())) for i in range(m)]
    for i in range(m):
        for j in range(1,s[i][0]+1):
            s[i][j] -= 1
    p = list(map(int,input().split()))
    return n,m,s,p 

def main(n,m,s,p):
    l = [[] for i in range(n)]
    for i in range(m):
        for j in range(1,s[i][0]+1):
            l[s[i][j]].append(i)
    ans = 0
    for i in range(n+1):
        for c in combinations(range(n),i):
            temp = [0 for i in range(m)]
            for j in c:
                for k in l[j]:
                    temp[k] += 1
                    temp[k] %= 2
            if temp==p:
                ans += 1
    print(ans)

if __name__=="__main__":
    n,m,s,p = getval()
    main(n,m,s,p)