import core.bitop, std.algorithm, std.ascii, std.bigint, std.conv, std.math,
    std.functional, std.numeric, std.range, std.stdio, std.string, std.random,
    std.typecons, std.container;

// dfmt off
T lread(T = long)(){return readln.chomp.to!T();}
T[] aryread(T = long)(){return readln.split.to!(T[])();}
void scan(TList...)(ref TList Args){auto line = readln.split();
foreach (i, T; TList){T val = line[i].to!(T);Args[i] = val;}}
alias sread = () => readln.chomp();enum MOD = 10 ^^ 9 + 7;
// dfmt on

void main()
{
    long N, M;
    scan(N, M);
    auto S = new uint[](M);
    foreach (i; 0 .. M)
    {
        foreach (s; aryread()[1 .. $])
        {
            S[i] = S[i] | (1 << (s - 1));
        }
    }
    auto P = aryread();
    long ans;
    outer: foreach (x; 0 .. (1 << N))
    {
        foreach (i; 0 .. M)
        {
            // popcnt(S[i] & x).writeln();
            if ((popcnt(S[i] & x) & 1) != P[i])
            {
                // writefln("%d %d %d", i, S[i], x);
                continue outer;
            }
        }
        ans++;
    }
    writeln(ans);
}
