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*/
#include <iostream>
#include <complex>
#include <vector>
#include <string>
#include <algorithm>
#include <cstdio>
#include <numeric>
#include <cstring>
#include <ctime>
#include <cstdlib>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <list>
#include <cmath>
#include <bitset>
#include <cassert>
#include <queue>
#include <stack>
#include <deque>
using namespace std;
template<typename T1, typename T2>inline void chkmin(T1 &x, T2 y) { if (x > y) x = y; }
template<typename T1, typename T2>inline void chkmax(T1 &x, T2 y) { if (x < y) x = y; }
template<typename T, typename U> inline ostream &operator<< (ostream &_out, const pair<T, U> &_p) { _out << _p.first << ' ' << _p.second; return _out; }
template<typename T, typename U> inline istream &operator>> (istream &_in, pair<T, U> &_p) { _in >> _p.first >> _p.second; return _in; }
template<typename T> inline ostream &operator<< (ostream &_out, const vector<T> &_v) { if (_v.empty()) { return _out; } _out << _v.front(); for (auto _it = ++_v.begin(); _it != _v.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline istream &operator>> (istream &_in, vector<T> &_v) { for (auto &_i : _v) { _in >> _i; } return _in; }
template<typename T> inline ostream &operator<< (ostream &_out, const set<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline ostream &operator<< (ostream &_out, const multiset<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline ostream &operator<< (ostream &_out, const unordered_set<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline ostream &operator<< (ostream &_out, const unordered_multiset<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T, typename U> inline ostream &operator<< (ostream &_out, const map<T, U> &_m) { if (_m.empty()) { return _out; } _out << '(' << _m.begin()->first << ": " << _m.begin()->second << ')'; for (auto _it = ++_m.begin(); _it != _m.end(); ++_it) { _out << ", (" << _it->first << ": " << _it->second << ')'; } return _out; }
template<typename T, typename U> inline ostream &operator<< (ostream &_out, const unordered_map<T, U> &_m) { if (_m.empty()) { return _out; } _out << '(' << _m.begin()->first << ": " << _m.begin()->second << ')'; for (auto _it = ++_m.begin(); _it != _m.end(); ++_it) { _out << ", (" << _it->first << ": " << _it->second << ')'; } return _out; }
#define sz(c) (int)(c).size()
#define all(c) (c).begin(), (c).end()
#define rall(c) (c).rbegin(), (c).rend()
#define left left228
#define right right228
#define next next228
#define rank rank228
#define prev prev228
#define y1 y1228
#define read(FILENAME) freopen((FILENAME + ".in").c_str(), "r", stdin)
#define write(FILENAME) freopen((FILENAME + ".out").c_str(), "w", stdout)
#define files(FILENAME) read(FILENAME), write(FILENAME)
#define pb push_back
const string FILENAME = "input";
int l, q;
string s;
char c[1 << 20];
int ans[1594329];
int who[1000228];
int dp[1594329];
int pos[1594329];
long long g[30];
bool bad[1594329];
int prefs[1594329];
int kt[1594329];
long long get(string s) {
int it = 0;
long long res = 0;
for (auto x: s) {
if (x == '?') {
res += g[it] * 2;
} else {
res += g[it] * (x - '0');
}
it++;
}
return res;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
//read(FILENAME);
cin >> l >> q;
cin >> s;
for (int i = 0; i < (1 << l); i++) {
c[i] = s[i] - '0';
}
int t = 1;
for (int i = 0; i < l - 7; i++) {
t *= 3;
}
g[0] = 1;
for (int i = 1; i <= 20; i++) {
g[i] = g[i - 1] * 3;
}
if (l <= 7) {
t = 1;
for (int i = 0; i < l; i++) {
t *= 3;
}
for (int mask = 0; mask < t; mask++) {
int id = mask;
bool was = false;
int cur = 0;
int r = 0;
int cur1 = 0;
int g = 1;
for (int t = 0; t < l; t++) {
int s = id % 3;
if (was) {
cur += s * g;
cur1 += s * g;
} else {
if (s == 2) {
was = true;
cur += 0 * g;
cur1 += 1 * g;
} else {
cur += s * g;
cur1 += s * g;
if (s) {
r += (1 << (l - t - 1));
}
}
}
id /= 3;
g *= 3;
}
if (!was) {
ans[mask] = c[r];
} else {
ans[mask] = ans[cur] + ans[cur1];
}
}
for (int it = 0; it < q; it++) {
string k;
cin >> k;
int x = get(k);
// cout << "opa" << endl;
cout << ans[x] << '\n';
}
return 0;
}
for (int it = 0; it < q; it++) {
string f;
cin >> f;
long long x;
x = get(f);
vector<char> st;
for (int i = 0; i < l; i++) {
st.pb(x % 3);
// cout << (int)st.back() << '\n';
x /= 3;
}
reverse(all(st));
int cur = 1;
for (int i = 7; i < l; i++) {
who[it] += (int)st[i] * cur;
cur *= 3;
}
for (int i = 0; i < 7; i++) {
prefs[it] += (int)st[i] * g[i];
}
}
for (int i = 0; i < l - 7; i++) {
for (int pre = 0; pre < (1 << i); pre++) {
int rpre = 0;
for (int k = 0; k < i; k++) {
if (pre & (1 << k)) {
rpre += g[k];
}
}
for (int suff = 0; suff < g[l - 7 - i - 1]; suff++) {
pos[rpre + 2 * g[i] + suff * g[i + 1]] = i + 1;
}
}
}
for (int i = 0; i < t; i++) {
if (pos[i] == 0) {
int curi = i;
int nmask = 0;
for (int j = 0; j < l - 7; j++) {
int g = curi % 3;
if (g) {
nmask += 1 << j;
}
curi /= 3;
}
kt[i] = nmask;
}
}
for (int mask = 0; mask < 128; mask++) {
for (int i = 0; i < t; i++) {
if (pos[i] == 0) {
dp[i] = c[(kt[i] << 7) + mask];
} else {
dp[i] =dp[i - g[pos[i] - 1]] + dp[i - (g[pos[i] - 1] << 1)];
}
}
for (int j = 0; j < g[7]; j++) {
bad[j] = false;
int cur = j;
for (int f = 0; f < 7; f++) {
int a = cur % 3;
if (a != 2) {
bool fs = ((mask & (1 << f)) != 0);
if (fs != a) {
bad[j] = true;
break;
}
}
cur /= 3;
}
}
for (int it = 0; it < q; it++) {
if (!bad[prefs[it]]) {
ans[it] += dp[who[it]];
}
}
}
for (int it = 0; it < q; it++) {
cout << ans[it] << '\n';
}
return 0;
}
