#include <limits>
#include <initializer_list>
#include <utility>
#include <bitset>
#include <tuple>
#include <type_traits>
#include <functional>
#include <string>
#include <array>
#include <deque>
#include <list>
#include <queue>
#include <stack>
#include <vector>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <iterator>
#include <algorithm>
#include <complex>
#include <random>
#include <numeric>
#include <iostream>
#include <iomanip>
#include <sstream>
#include <regex>
#include <cassert>
#include <cstddef>
#include <variant>

#define endl codeforces

#define ALL(v) std::begin(v), std::end(v)
#define ALLR(v) std::rbegin(v), std::rend(v)

using ll = std::int64_t;
using ull = std::uint64_t;
using pii = std::pair<int, int>;
using tii = std::tuple<int, int, int>;
using pll = std::pair<ll, ll>;
using tll = std::tuple<ll, ll, ll>;
using size_type = ssize_t;
template <typename T> using vec = std::vector<T>;
template <typename T> using vvec = vec<vec<T>>;

template <typename T> const T& var_min(const T &t) { return t; }
template <typename T> const T& var_max(const T &t) { return t; }
template <typename T, typename... Tail> const T& var_min(const T &t, const Tail&... tail) { return std::min(t, var_min(tail...)); }
template <typename T, typename... Tail> const T& var_max(const T &t, const Tail&... tail) { return std::max(t, var_max(tail...)); }
template <typename T, typename... Tail> void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); }
template <typename T, typename... Tail> void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); }

template <typename T, std::size_t Head, std::size_t... Tail> 
struct multi_dim_array { using type = std::array<typename multi_dim_array<T, Tail...>::type, Head>; };

template <typename T, std::size_t Head> 
struct multi_dim_array<T, Head> { using type = std::array<T, Head>; };

template <typename T, std::size_t... Args> using mdarray = typename multi_dim_array<T, Args...>::type;

template <typename T, typename F, typename... Args> 
void fill_seq(T &t, F f, Args... args) { 
    if constexpr (std::is_invocable<F, Args...>::value) { 
        t = f(args...); 
    } else { 
        for (size_type i = 0; i < t.size(); i++) fill_seq(t[i], f, args..., i); 
    } 
}

template <typename T> vec<T> make_v(size_type sz) { return vec<T>(sz); }

template <typename T, typename... Tail> 
auto make_v(size_type hs, Tail&&... ts) { 
    auto v = std::move(make_v<T>(std::forward<Tail>(ts)...)); 
    return vec<decltype(v)>(hs, v); 
}

namespace init__ { 
struct InitIO { 
    InitIO() { 
        std::cin.tie(nullptr); 
        std::ios_base::sync_with_stdio(false); 
        std::cout << std::fixed << std::setprecision(30); 
    } 
} init_io; 
}

template <typename T>
T ceil_pow2(T bound) {
    T ret = 1;
    while (ret < bound) ret *= 2;
    return ret;
}

template <typename T>
T ceil_div(T a, T b) { return a / b + !!(a % b); }


int main() {
    ll n, q;
    std::cin >> n >> q;
    vec<ll> av(n);
    for (ll &e : av) std::cin >> e;
    std::string s;
    std::cin >> s;

    ll bsz = 32;
    auto state = make_v<bool>(n + 1, bsz, 2);
    for (ll i = 0; i < bsz; i++) state[0][i][1] = true;
    auto score = make_v<ll>(n + 1, bsz, 2);

    for (ll i = 0; i < n; i++) {
        ll e = av[i];
        for (ll j = 0; j < bsz; j++) {
            ll val = (1ll << j);
            bool enable = !!(e & val);
            for (ll k = 0; k < 2; k++) {
                state[i + 1][j][k] = state[i][j][k];
                score[i + 1][j][k] = score[i][j][k];
                if (s[i] == '1' && enable) {
                    state[i + 1][j][k] = true;
                    if (!state[i][j][k]) score[i + 1][j][k] += val;
                }
                if (s[i] == '0' && !enable) {
                    state[i + 1][j][k] = false;
                    if (state[i][j][k]) score[i + 1][j][k] += val;
                }
            }
        }
    }

    auto ssum = make_v<ll>(bsz, 2);
    for (ll i = 0; i < bsz; i++) for (ll j = 0; j < 2; j++) ssum[i][j] += score[n][i][j];

    while (q--) {
        ll t;
        std::cin >> t;
        ll ans = 0;
        for (ll i = 0; i < bsz; i++) {
            ll mask = (1ll << i);
            ans += ssum[i][!!(t & mask)];
        }
        std::cout << ans << "\n";
    }

    return 0;
}