#include<bits/stdc++.h> 
using namespace std;
typedef long long ll;
template<typename T1,typename T2> bool chmin(T1 &a,T2 b){if(a<=b)return 0; a=b; return 1;}
template<typename T1,typename T2> bool chmax(T1 &a,T2 b){if(a>=b)return 0; a=b; return 1;}
ll dx[4]={0,1,-1,0};
ll dy[4]={1,0,0,-1};



signed main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << fixed << setprecision(20);


    ll n,q;
    cin>>n>>q;
    ll a[n];
    for(int i=0;i<n;i++)cin>>a[i];
    string s;
    cin>>s;
    ll t[44]={};
    ll k[44]={};
    for(ll i=0;i<44;i++){
        ll now = (1LL<<i);
        for(int j=0;j<n;j++){
            ll pre = now;
            if(s[j] == '0'){
                now &= a[j];
            }
            else{
                now |= ((1LL << i) & a[j]);
            }
            t[i] += abs(pre - now);
        }
    }
    for(ll i=0;i<44;i++){
        ll now = 0;
        for(int j=0;j<n;j++){
            ll pre = now;
            if(s[j] == '0'){
                now &= a[j];
            }
            else{
                now |= ((1LL << i) & a[j]);
            }
            k[i] += abs(pre - now);
        }
    }
    while(q--){
        ll x;
        cin>>x;
        ll ans = 0;
        for(ll i=0;i<44;i++){
            if(x & (1LL<<i))ans += t[i];
            else ans += k[i];
        }
        cout << ans << "\n";
    }

}