// ~~ icebear ~~
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
typedef pair<int, ii> iii;
template<class T>
bool minimize(T &a, const T &b) {
if (a > b) return a = b, true;
return false;
}
template<class T>
bool maximize(T &a, const T &b) {
if (a < b) return a = b, true;
return false;
}
#define FOR(i,a,b) for(int i=(a); i<=(b); ++i)
#define FORR(i,a,b) for(int i=(a); i>=(b); --i)
#define REP(i, n) for(int i=0; i<(n); ++i)
#define RED(i, n) for(int i=(n)-1; i>=0; --i)
#define MASK(i) (1LL << (i))
#define BIT(S, i) (((S) >> (i)) & 1)
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define task "icebear"
const int MOD = 1e9 + 7;
const int inf = 1e9 + 27092008;
const ll INF = 1e18 + 27092008;
const int N = MASK(20) + 5;
int L, q, a[N], super[N], sub[N];
void init(void) {
cin >> L >> q;
REP(i, MASK(L)) {
char c; cin >> c;
a[i] = c - '0';
super[i] = a[i];
sub[i] = a[i];
}
}
void process(void) {
REP(i, L) REP(mask, MASK(L)) if (BIT(mask, i) == 0)
sub[mask | MASK(i)] += sub[mask];
REP(i, L) RED(mask, MASK(L)) if (BIT(mask, i) == 1)
super[mask ^ MASK(i)] += super[mask];
while(q--) {
string S; cin >> S;
int A = 0, B = 0, C = 0;
REP(i, L) {
if (S[i] == '0') A |= MASK(L - 1 - i);
if (S[i] == '1') B |= MASK(L - 1 - i);
if (S[i] == '?') C |= MASK(L - 1 - i);
}
int numZero = __builtin_popcount(A);
int numOne = __builtin_popcount(B);
int numAsk = __builtin_popcount(C);
int minBit = min({numOne, numZero, numAsk});
int res = 0;
if (numZero == minBit) {
for(int mask = A; mask > 0; mask = (mask - 1) & A)
res += (__builtin_popcount(mask) & 1 ? -1 : +1) * super[B | mask];
res += super[B];
} else if (numOne == minBit) {
for(int mask = B; mask > 0; mask = (mask - 1) & B)
res += (__builtin_popcount(mask) & 1 ? -1 : +1) * sub[C | (B ^ mask)];
res += sub[C | B];
} else {
for(int mask = C; mask > 0; mask = (mask - 1) & C)
res += a[B | mask];
res += a[B];
}
cout << res << '\n';
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
int tc = 1;
// cin >> tc;
while(tc--) {
init();
process();
}
return 0;
}
