#include "bits/stdc++.h"
using namespace std;
#define ll long long
#define endl '\n'
#define rep(i, n) for(int i = 0; i < (int)(n); i++)
#define rep2(i,a,b) for(int i=int(a);i<int(b);i++)
#define pb emplace_back
#define all(x) (x).begin(),(x).end()
ll mod=1e9+7;
ll mod2=998244353;
const int INF=1e9;


signed main() {
	ll n,m;
	cin>>n>>m;
	vector<vector<ll> > s(m,vector<ll>(n,0));
	rep(i,m){
		ll k;
		cin>>k;
		ll a;
		rep(j,k){
			cin>>a;
			a--;
			s[i][a]=1;
		}
	}
	vector<ll> p(m);
	rep(i,m)cin>>p[i];

	ll ans=0;
	bool f;
	rep(bit,(1<<n)){
		f=true;
		rep(i,m){
			ll tmp=0;
			rep(j,n){
				if((bit&(1<<j))&&s[i][j]==1)tmp++;
			}
			if((tmp%2)!=p[i])f=false;
		}
		if(f)ans++;
	}
	cout<<ans<<endl;
}


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