local DBG = false
local function dbgpr(...)
    if DBG then
        io.write("[dbg]")
        print(...)
    end
end

local function dbgpr_t(tbl, use_pairs)
    if DBG then
        local enum = ipairs
        if use_pairs then
            enum = pairs
        end
        dbgpr(tbl)
        io.write("[dbg]")
        for i,v in enum(tbl) do
            io.write(i)
            io.write(":")
            io.write(tostring(v))
            io.write(" ")
        end
        print("")
    end
end

--

local N, M = io.read("n", "n")
local L = {}
for i=1, M do
    local k = io.read("n")
    local li = {}
    for j=1,N do
        li[j] = false
    end
    for j=1,k do
        local s = io.read("n")
        li[s] = true
    end
    table.insert(L, li)
    dbgpr("light", i)
    dbgpr_t(li)
end
local p = {}
for i=1, M do
    p[i] = io.read("n")
end
dbgpr("p")
dbgpr_t(p)
local ans = 0
for i=0,2^N-1 do
    local sw_states = {}
    for j=1,N do
        local state = (i >> (j - 1)) & 1
        sw_states[j] = state
    end
    local on = true
    for j=1,M do
        local sw_count = 0
        for k=1,N do
            if L[j][k] then
                sw_count = sw_count + sw_states[k]
            end
        end
        dbgpr("L", j, "sw_count", sw_count, "p", p[j])
        if sw_count % 2 ~= p[j] then
            on = false
        end
    end
    dbgpr_t(sw_states)
    dbgpr(on)
    if on then
        ans = ans + 1
    end
end
print(ans)
