#include <bits/stdc++.h>
using namespace std;
#define PARITY(n) (__builtin_parityll((n)))
#define POPCOUNT(n) (__builtin_popcountll((n)))
#define CLZ(n) (__builtin_clzll((n)))
#define CTZ(n) (__builtin_ctzll((n)))
#define LOG(n) (63 - __builtin_clzll((n)))
#define BIT(n, i) (((n) >> (i)) & 1ll)
#define MASK(i) (1ll << (i))
#define FLIP(n, i) ((n) ^ (1ll << (i)))
#define ON(n, i) ((n) | MASK(i))
#define OFF(n, i) ((n) & ~MASK(i))
#define Int __int128
#define fi first
#define se second
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef pair<long long, int> pli;
typedef pair<int, long long> pil;
typedef vector<pair<int, int>> vii;
typedef vector<pair<long long, long long>> vll;
typedef vector<pair<long long, int>> vli;
typedef vector<pair<int, long long>> vil;
template <class T1, class T2> bool maximize(T1 &x, T2 y) {
if (x < y) {
x = y;
return true;
}
return false;
}
template <class T1, class T2> bool minimize(T1 &x, T2 y) {
if (x > y) {
x = y;
return true;
}
return false;
}
template <class T> void remove_duplicate(vector<T> &ve) {
sort (ve.begin(), ve.end());
ve.resize(unique(ve.begin(), ve.end()) - ve.begin());
}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
long long random(long long l, long long r) {
return uniform_int_distribution<long long>(l, r)(rng);
}
template <class T> T random(T r) {
return rng() % r;
}
const int N = 1e6 + 5, LG = 20, M = MASK(LG);
const int MOD = 1e9 + 7;
const int inf = 1e9;
const long long INF = 1e18;
int L, q;
int a[M], sos_sub[M], sos_super[M];
signed main() {
ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
cin >> L >> q;
for (int i = 0; i < MASK(L); ++i) {
char ch; cin >> ch;
a[i] = ch - '0';
sos_sub[i] = sos_super[i] = a[i];
}
for (int i = 0; i < L; ++i) for (int mask = 0; mask < MASK(L); ++mask) {
if (BIT(mask, i)) sos_sub[mask] += sos_sub[mask ^ MASK(i)];
else sos_super[mask] += sos_super[mask ^ MASK(i)];
}
while (q--) {
string t; cin >> t;
reverse(t.begin(), t.end());
// convert t to number
int zeroMask = 0, oneMask = 0, twoMask = 0;
for (int i = 0; i < L; ++i) {
if (t[i] == '0') zeroMask |= MASK(i);
if (t[i] == '1') oneMask |= MASK(i);
if (t[i] == '?') twoMask |= MASK(i);
}
if (POPCOUNT(twoMask) <= 6) {
int ans = a[oneMask];
for (int sub = twoMask; sub > 0; sub = (sub - 1) & twoMask) {
ans += a[oneMask | sub];
}
cout << ans << '\n';
}
else if (POPCOUNT(oneMask) <= 6) {
int ans = sos_sub[twoMask] * (PARITY(oneMask) == 0 ? 1 : -1);
for (int sub = oneMask; sub > 0; sub = (sub - 1) & oneMask) {
if (PARITY(sub) == PARITY(oneMask)) ans += sos_sub[sub | twoMask];
else ans -= sos_sub[sub | twoMask];
}
cout << ans << '\n';
}
else {
assert(POPCOUNT(zeroMask) <= 6);
int ans = sos_super[oneMask];
for (int sub = zeroMask; sub > 0; sub = (sub - 1) & zeroMask) {
if (PARITY(sub)) ans -= sos_super[sub | oneMask];
else ans += sos_super[sub | oneMask];
}
cout << ans << '\n';
}
}
return 0;
}
