#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pii pair<long long, long long>
#define t3i tuple<long long, long long, long long>
const int MinVop = 10;
int calc(vector<int> &tri, int x, int l, string &tox) {
if (l == x) {
int v = 0;
for (int i = 0; i < l; i++) {
v *= 2;
v += tri[i];
}
return tox[v] - '0';
}
if (tri[x] == 2) {
int ans = 0;
tri[x] = 0;
ans += calc(tri, x + 1, l, tox);
tri[x] = 1;
ans += calc(tri, x + 1, l, tox);
tri[x] = 2;
return ans;
}
return calc(tri, x + 1, l, tox);
}
int build(vector<int> &tri, vector<int> &ans, string &tox, int l, int q) {
int v = 0, vop = 0;
for (int i = 0; i < l; i++) {
v *= 3;
v += tri[i];
vop += (tri[i] == 2);
}
if (vop < MinVop) {
vector<int> tri_(l);
for (int i = 0; i < l; i++) tri_[i] = tri[i];
ans[v] = calc(tri_, 0, l, tox);
}
if (ans[v] != -1) return ans[v];
for (int i = 0; i < l; i++) {
if (tri[i] == 2) {
int cans = 0;
tri[i] = 0;
cans += build(tri, ans, tox, l, q);
tri[i] = 1;
cans += build(tri, ans, tox, l, q);
tri[i] = 2;
ans[v] = cans;
}
}
return ans[v];
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int l, q;
string tox;
cin >> l >> q >> tox;
vector<int> ans(pow(3, l) + 100, -1);
vector<int> tri(l, 2);
build(tri, ans, tox, l, q);
while (q--) {
string s;
cin >> s;
int v = 0, vop = 0;
for (int i = 0; i < l; i++) {
v *= 3;
v += (s[i] == '?' ? 2 : s[i] - '0');
vop += (s[i] == '?');
}
if (vop >= MinVop) {
cout << ans[v] << "\n";
} else {
vector<int> tri(l);
for (int i = 0; i < l; i++) tri[i] = (s[i] == '?' ? 2 : s[i] - '0');
cout << calc(tri, 0, l, tox) << "\n";
}
}
}
