#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair <ll,ll> pll;
typedef pair <int,int> pii;
typedef pair <int,pii> piii;
#define forr(_a,_b,_c) for(int _a = (_b); _a <= (_c); ++_a)
#define ford(_a,_b,_c) for(int _a = (_b) + 1; _a --> (_c);)
#define forf(_a,_b,_c) for(int _a = (_b); _a < (_c); ++_a)
#define st first
#define nd second
#define pb push_back
#define mp make_pair
#define all(x) begin(x),end(x)
#define mask(i) (1LL << (i))
#define bit(x, i) (((x) >> (i)) & 1)
#define bp __builtin_popcountll
#define file "test"
template<class X, class Y>
bool minz(X &x, const Y &y) {
if (x > y) {
x = y;
return true;
} return false;
}
template<class X, class Y>
bool maxz(X &x, const Y &y) {
if (x < y) {
x = y;
return true;
} return false;
}
const int N = 5e5 + 5;
const ll oo = (ll) 1e16;
const ll mod = 1e9 + 7; // 998244353;
int l, q, f[mask(20)], g[mask(20)], mul[2] = {1, -1};
string s;
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef hqm
freopen(file".inp", "r", stdin); freopen(file".out", "w", stdout);
#endif
cin >> l >> q >> s;
forf (i, 0, s.size()){
f[i] = s[i] - '0';
g[i] = s[i] - '0';
}
forf (i, 0, l){
forf (j, 0, mask(l)){
if (bit(j, i)){
f[j] += f[j ^ mask(i)];
}
}
}
ford (i, l - 1, 0){
ford (j, mask(l) - 1, 0){
if (bit(j, i))
g[j ^ mask(i)] += g[j];
}
}
while (q--){
int fo = 0, fz = 0, fq = 0, res = 0;
cin >> s;
reverse(all(s));
forf (i, 0, l){
if (s[i] == '?') fq ^= mask(i);
else if (s[i] == '0') fz ^= mask(i);
else fo ^= mask(i);
}
if (bp(fz) <= 6){
//cout << fo << "\n";
for (int i = fz; ; i = (i - 1) & fz){
res += g[i | fo] * mul[bp(i) & 1];
//cout << g[i] << " " << mul[bp(i) & 1] << "\n";
if (i == 0) break;
}
} else
if (bp(fo) <= 6){
for (int i = fo; ; i = (i - 1) & fo){
res += f[i | fq] * mul[(bp(fo) ^ bp(i)) & 1];
if (i == 0) break;
}
} else {
for (int i = fq; ; i = (i - 1) & fq){
res += s[i | fo] - '0';
if (i == 0) break;
}
}
cout << res << "\n";
}
return 0;
}
/*
*/