#include <bits/stdc++.h>
using namespace std;
int main(){
  int N, Q;
  cin >> N >> Q;
  vector<int> A(N);
  for (int i = 0; i < N; i++){
    cin >> A[i];
  }
  string S;
  cin >> S;
  vector<int> start(30, -1);
  vector<int> curr(30, -1);
  vector<int> cnt(30, 0);
  for (int i = 0; i < N; i++){
    if (S[i] == '0'){
      for (int j = 0; j < 30; j++){
        if (!(A[i] >> j & 1)){
          if (curr[j] == -1){
            start[j] = 0;
          } else if (curr[j] == 1){
            cnt[j]++;
          }
          curr[j] = 0;
        }
      }
    }
    if (S[i] == '1'){
      for (int j = 0; j < 30; j++){
        if (A[i] >> j & 1){
          if (curr[j] == -1){
            start[j] = 1;
          } else if (curr[j] == 0){
            cnt[j]++;
          }
          curr[j] = 1;
        }
      }
    }
  }
  for (int i = 0; i < Q; i++){
    int t;
    cin >> t;
    long long ans = 0;
    for (int j = 0; j < 30; j++){
      if (t >> j & 1){
        if (start[j] == 0){
          ans += 1 << j;
        }
      } else {
        if (start[j] == 1){
          ans += 1 << j;
        }
      }
      ans += (long long) cnt[j] << j;
    }
    cout << ans << endl;
  }
}