#include<bits/stdc++.h>
using namespace std;
using LL=long long;
using ULL=unsigned long long;
#define rep(i,n) for(int i=0;i<(n);i++)

int N,Q;
vector<ULL> A;

int main(){
  cin>>N;
  A.resize(N);
  rep(i,N) cin>>A[i];

  vector<ULL> G;
  ULL no;
  bool cannot_fix=false;
  {
    int dcrA[60];
    int rA[60]; rep(i,60) rA[i]=-1;
    rep(i,N) rep(d,60) if((A[i]>>d)&1) rA[d]=i;

    pair<int,int> S[61];
    S[0] = {-1,-1};
    rep(i,60){ S[i+1] = {rA[i],i}; }
    sort(S,S+61);
    int p=-1;
    rep(i,60){
      if(S[i+1].first!=S[i].first) p++;
      dcrA[S[i+1].second]=p;
    }
    G.resize(p+1);
    no=0;
    rep(i,60){
      if(dcrA[i]==-1) no |= 1ull<<i;
      else G[dcrA[i]] |= 1ull<<i;
    }

    rep(i,61) if(S[i].first==0) cannot_fix=true;
  }


  cin>>Q;
  while(Q--){
    ULL b; cin>>b;
    bool enable = true;

    int no_flipped=0;
    if((no&b) == 0){ no_flipped=0; }
    else if((no&b) == no){ no_flipped=1; }
    else enable=false;

    for(ULL g:G) if(((g&b) != g) && ((g&b) != 0)) enable=false;
    
    int flipped = 0;
    int ans=0;
    for(int i=G.size()-1; i>=0 && enable; i--){
      ULL g = G[i];
      int flip=1; if(g&b) flip=0;
      if(flipped != flip) ans++;
      flipped = flip;
    }
    
    if(no) if(ans%2 != no_flipped) {
      ans++;
      if(cannot_fix){ enable=false; }
    }

    if(!enable){ cout<<-1<<endl; continue; }
    cout<<ans<<endl;
  }

  return 0;
}