#include <bits/stdc++.h>
using namespace std;
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
//#pragma GCC optimize("Ofast,unroll-loops,fast-math,O3")
#define pb push_back
#define ll long long
#define sz(v) int(v.size())
#define all(v) v.begin(),v.end()
int mod = 1e9 + 7;
const int N = 1048576 + 100;
const ll inf = 2e18;
ll dp[N],dp1[N];
void solve(){
int l,q;
cin >> l >> q;
int n = (1 << l);
string s,t;
cin >> s;
for(int i = 0; i < n; i++) dp[i] = dp1[i] = s[i] - '0';
for(int i = 0; i < l; i++){
for(int mask = (1 << n) - 1; mask>= 0; mask--){
if((mask >> i & 1) == 0){
dp[mask] += dp[(mask | (1 << i))];
}
}
}
for(int i = 0; i < l; i++){
for(int mask = 0; mask < (1 << n); mask++){
if((mask >> i & 1) == 1){
dp1[mask] += dp1[(mask ^ (1 << i))];
}
}
}
while(q--){
cin >> t;
int cnt = 0,cnt1 = 0;
for(int i = 0; i < l; i++){
if(t[i] == '?') cnt++;
else if(t[i] == '1') cnt1++;
}
if(cnt <= 6){
int sum = 0,p = 0;
ll ans = 0;
vector <int> v;
for(int i = t.size() - 1; i >= 0;i--){
if(t[i] == '1'){
sum += (1 << p);
}
else if(t[i] == '?'){
v.pb(p);
}
p++;
}
for(int mask = 0; mask < (1 << cnt); mask++){
int sum1 = 0;
for(int j = 0;j < cnt; j++){
if((mask >> j & 1) == 1){
sum1 += (1 << v[j]);
}
}
ans += s[sum + sum1] - '0';
}
cout << ans << '\n';
}
else if(cnt1 > 6){
int p = 0,sum = 0;
ll ans = 0;
for(int i = t.size() - 1; i >= 0; i--){
if(t[i] == '1') sum += (1 << p);
p++;
}
ans = dp[sum];
vector <int> v;
p = 0;
for(int i = t.size() - 1; i >= 0; i--){
if(t[i] == '0') v.pb(p);
p++;
}
for(int mask2 = 1; mask2 < (1 << v.size()); mask2++){
int sum1 = sum;
for(int j = 0; j < v.size(); j++){
if((mask2 >> j & 1) == 1)sum1 += (1 << v[j]);
}
if(__builtin_popcount(mask2) & 1){
ans -= dp[sum1];
}
else ans += dp[sum1];
}
cout << ans << '\n';
}
else{
int p = 0,sum = 0;
ll ans = 0;
for(int i = t.size() - 1; i >= 0; i--){
if(t[i] != '0') sum += (1 << p);
p++;
}
ans = dp[sum];
vector <int> v;
p = 0;
for(int i = t.size() - 1; i >= 0; i--){
if(t[i] == '1') v.pb(p);
p++;
}
for(int mask2 = 1; mask2 < (1 << v.size()); mask2++){
int sum1 = sum;
for(int j = 0; j < v.size(); j++){
if((mask2 >> j & 1) == 1)sum1 -= (1 << v[j]);
}
if(__builtin_popcount(mask2) & 1){
ans -= dp1[sum1];
}
else ans += dp1[sum1];
}
cout << ans << '\n';
}
}
}
signed main(){
//freopen("time.in", "r", stdin);
//freopen("time.out", "w", stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
int t1 = 1;
while(t1--){
solve();
}
}
