#include <bits/stdc++.h>
#define fi first
#define se second
#define rep(i,n) for(int i = 0; i < (n); ++i)
#define rrep(i,n) for(int i = 1; i <= (n); ++i)
#define drep(i,n) for(int i = (n)-1; i >= 0; --i)
#define srep(i,s,t) for (int i = s; i < t; ++i)
#define rng(a) a.begin(),a.end()
#define rrng(a) a.rbegin(),a.rend()
#define sortu(x) sort((x).begin(),(x).end())
#define sortd(x) sort((x).begin(),(x).end(), greater<int>())
#define isin(x,l,r) ((l) <= (x) && (x) < (r))
#define pb push_back
#define eb emplace_back
#define sz(x) (int)(x).size()
#define pcnt __builtin_popcountll
#define uni(x) x.erase(unique(rng(x)),x.end())
#define snuke srand((unsigned)clock()+(unsigned)time(NULL));
#define show(x) cerr<<#x<<" = "<<x<<endl;
#define PQ(T) priority_queue<T,v(T),greater<T> >
#define bn(x) ((1<<x)-1)
#define dup(x,y) (((x)+(y)-1)/(y))
#define newline puts("")
#define v(T) vector<T>
#define vv(T) v(v(T))
using namespace std;
typedef long long int ll;
typedef unsigned uint;
typedef unsigned long long ull;
typedef pair<int,int> P;
typedef tuple<int,int,int> T;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<P> vp;
typedef vector<T> vt;
int getInt(){int x;scanf("%d",&x);return x;}
template<typename T>istream& operator>>(istream&i,v(T)&v){rep(j,sz(v))i>>v[j];return i;}
template<typename T>string join(const v(T)&v){stringstream s;rep(i,sz(v))s<<' '<<v[i];return s.str().substr(1);}
template<typename T>ostream& operator<<(ostream&o,const v(T)&v){if(sz(v))o<<join(v);return o;}
template<typename T1,typename T2>istream& operator>>(istream&i,pair<T1,T2>&v){return i>>v.fi>>v.se;}
template<typename T1,typename T2>ostream& operator<<(ostream&o,const pair<T1,T2>&v){return o<<v.fi<<","<<v.se;}
template<typename T>bool mins(T& x,const T&y){if(x>y){x=y;return true;}else return false;}
template<typename T>bool maxs(T& x,const T&y){if(x<y){x=y;return true;}else return false;}
template<typename T>ll suma(const v(T)&a){ll res(0);for(auto&&x:a)res+=x;return res;}
const double eps = 1e-10;
const ll LINF = 1001002003004005006ll;
const int INF = 1001001001;
const int MOD = 1e9+7;
#define dame0 { puts("0"); return 0;}
#define dame1 { puts("-1"); return 0;}
#define yn {puts("Yes");}else{puts("No");}
#define yn2 {puts("YES");}else{puts("NO");}
#define yn3 {puts("yes");}else{puts("no");}
#define on {puts("ok");}else{puts("ng");}
#define on2 {puts("OK");}else{puts("NG");}
#define perm(c) sort(all(c));for(bool c##p=1;c##p;c##p=next_permutation(all(c)))
#define outa {cout << ans << endl;}
#define out(x) {cout << x << endl;}
using Graph = vector<vector<int>>;
//mins(ans,now);  ansに最小値が入る
//if(max(ans,now)) ansが小さければ更新して実行
//ll sum = suma(a); 配列aの合計
//int a[33][4];


int main() {
    int n, m; cin >> n >> m;
    int s[m][n];
    rep(i,m) {
        int k; cin>>k;
        rep(j,k){
            int x; cin>>x;
            s[i][x-1] = 1;
        }
    }
    vector<int> p(m); rep(i, m) cin >> p[i];
    
    int ans = 0;
    rep(i,1<<n){  // v[j]に対して操作をする
        vi light(n,0);
        rep(j,n) if(i>>j&1){
            light[j]=1;
        }
        bool flag = true;
        rep(j,m){
            int flg = 0;
            rep(l,n){
                if(s[j][l]==1) flg += light[l];
            }
            if(flg%2!=p[j]) flag = false; 
        }
        if(flag) ans++;
    }
    outa;

}

/*
g++ b.cpp
./a.out

oj d
oj t

debug:ctrl+shift+B problemin

*/


Measured memory_bytes: 3608