#include<bits/stdc++.h>
using namespace std;
const int MAX_L = 20;
int L, q, sum[2][1 << MAX_L];
string s;
bool checkBit (int _a, int _bit) { return (_a >> _bit) & 1; }
int main () {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// freopen("test.INP", "r", stdin);
cin >> L >> q >> s;
for (int i = 0; i < (1 << L); ++i) sum[0][i] = sum[1][i] = s[i] - '0';
for (int i = 0; i < L; ++i) {
for (int j = 0; j < (1 << L); ++j) {
if (checkBit(j, i) ) sum[0][j] += sum[0][j ^ (1 << i)];
else sum[1][j] += sum[1][j ^ (1 << i)];
}
}
while (q --) {
string t; cin >> t; reverse(t.begin(), t.end() );
int maskQ = 0, maskO1 = 0, maskO0 = 0;
for (int i = 0; i < L; ++i) {
if (t[i] == '?') maskQ |= (1 << i);
else if (t[i] == '1') maskO1 |= (1 << i);
else maskO0 |= (1 << i);
}
int ans = 0;
if (__builtin_popcount(maskQ) <= L / 3) {
for (int subMask = maskQ; ; subMask = (subMask - 1) & maskQ) {
ans += s[subMask | maskO1] - '0';
if (!subMask) break ;
}
}
else if (__builtin_popcount(maskO1) <= L / 3) {
for (int subMask = maskO1; ; subMask = (subMask - 1) & maskO1) {
if ( (__builtin_popcount(maskO1) - __builtin_popcount(subMask & maskO1) ) & 1) ans -= sum[0][maskQ | subMask];
else ans += sum[0][maskQ | subMask];
if (!subMask) break ;
}
}
else {
for (int subMask = maskO0; ; subMask = (subMask - 1) & maskO0) {
if (__builtin_popcount(subMask) & 1) ans -= sum[1][maskO1 | subMask];
else ans += sum[1][maskO1 | subMask];
if (!subMask) break ;
}
}
cout << ans << '\n';
}
return 0;
}
