#include <bits/stdc++.h>
using namespace std;

#define INF_LL (int64)1e18
#define INF (int32)1e9
#define REP(i, n) for(int64 i = 0;i < (n);i++)
#define FOR(i, a, b) for(int64 i = (a);i < (b);i++)
#define all(x) x.begin(),x.end()
#define fs first
#define sc second

using int32 = int_fast32_t;
using uint32 = uint_fast32_t;
using int64 = int_fast64_t;
using uint64 = uint_fast64_t;
using PII = pair<int32, int32>;
using PLL = pair<int64, int64>;

const double eps = 1e-10;

template<typename A, typename B>inline void chmin(A &a, B b){if(a > b) a = b;}
template<typename A, typename B>inline void chmax(A &a, B b){if(a < b) a = b;}

template<typename T>
vector<T> make_v(size_t a){return vector<T>(a);}

template<typename T,typename... Ts>
auto make_v(size_t a,Ts... ts){
	return vector<decltype(make_v<T>(ts...))>(a,make_v<T>(ts...));
}

template<typename T,typename U,typename... V>
typename enable_if<is_same<T, U>::value!=0>::type
fill_v(U &u,const V... v){u=U(v...);}

template<typename T,typename U,typename... V>
typename enable_if<is_same<T, U>::value==0>::type
fill_v(U &u,const V... v){
	for(auto &e:u) fill_v<T>(e,v...);
}


int main(void) {
  cin.tie(0);
  ios::sync_with_stdio(false);

  int64 N, Q;
  cin >> N >> Q;
  vector<int64> A(N);
  REP(i, N) cin >> A[i];
  string S;
  cin >> S;
  auto p = make_v<int64>(32, 2);

  REP(i, 32) {
    REP(j, 2) {
      int64 b = j;
      int64 score = 0;
      REP(k, N) {
        int64 pb = b;
        if (S[k] == '0') {
          b = b & (A[k] >> i & 1);
        } else {
          b = b | (A[k] >> i & 1);
        }
        score += (pb ^ b) << i;
      }
      p[i][j] = score;
    }
  }
  REP(i, Q) {
    int64 t;
    cin >> t;
    int64 res = 0;
    REP(j, 32) {
      res += p[j][t >> j & 1];
    }
    cout << res << endl;
  }
}