//#define _GLIBCXX_DEBUG

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

#define endl '\n'
#define lfs cout<<fixed<<setprecision(10)
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T1, typename T2>
bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>
bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>
void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
template<typename T>
void debug(vector<vector<T>>&v,ll h,ll w){for(ll i=0;i<h;i++)
{cout<<v[i][0];for(ll j=1;j<w;j++)cout spa v[i][j];cout<<endl;}};
void debug(vector<string>&v,ll h,ll w){for(ll i=0;i<h;i++)
{for(ll j=0;j<w;j++)cout<<v[i][j];cout<<endl;}};
template<typename T>
void debug(vector<T>&v,ll n){if(n!=0)cout<<v[0];
for(ll i=1;i<n;i++)cout spa v[i];cout<<endl;};
template<typename T>
vector<vector<T>>vec(ll x, ll y, T w){
  vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,0,-1,0,1,1,-1,-1};
vector<ll>dy={0,1,0,-1,1,-1,1,-1};
template<typename T>
vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>
auto make_v(size_t a,Ts... ts){
  return vector<decltype(make_v(ts...))>(a,make_v(ts...));
}
template<typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2>&p){
  return os << p.first << " " << p.second;
}  
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  ll n,q;cin>>n>>q;
  assert(n>=1&&n<=(ll)1e5);
  assert(q>=1&&q<=(ll)1e5);
  vector<ll>a(n);
  rep(i,0,n){
    cin>>a[i];
    assert(a[i]>=0&&a[i]<=(ll)1e9);
  }
  string s;cin>>s;
  assert(s.size()==n);
  auto f=[&](ll x,ll idx){
    P p;
    if(s[idx]=='0')p.fi=x&a[idx];
    else p.fi=x|a[idx];
    if(p.fi>x)p.se=2;
    else if(p.fi<x)p.se=-1;
    else p.se=0;
    return p;
  };
  vector<ll>val(n+1);
  map<ll,vector<ll>>idx;
  ll tmp=(1<<30)-1,change=(1<<30)-1;
  rep(i,0,n){
    auto p=f(val[i],i);
    val[i+1]=p.fi;
    tmp=f(tmp,i).fi;
    if(tmp^change^val[i+1]){
      ll k=tmp^change^val[i+1];
      
      rep(j,0,30){
        if(k&1<<j){
          idx[i].PB(j);
          change^=1<<j;
        }
      }
    }
    else res+=p.se;
  }
  while(q--){
    ll t;cin>>t;
    assert(t>=0&&t<=(ll)1e9);
    ll score=res;
    for(auto &v:idx){
      score+=f(t|val[v.fi],v.fi).se;
      for(auto z:v.se){
        t&=~(1<<z);
      }
    }
    cout<<score<<endl;
  }
  return 0;
}