#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
/*
Phu Trong from Nguyen Tat Thanh High School for gifted student
*/
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-9;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-9;
if (x + eps < y) {x = y; return 1;}
return 0;
}
int numSnake, numQuery;
string label;
string s[MASK(20) + 5];
int dp_on[MASK(20) + 5], dp_off[MASK(20) + 5];
void process(void){
cin >> numSnake >> numQuery >> label;
#define cnt(x) __builtin_popcount(x)
for (int mask = 0; mask < MASK(numSnake); ++mask){
dp_on[mask] = label[mask] - '0';
dp_off[(MASK(numSnake) - 1) ^ mask] = label[mask] - '0';
}
for (int i = 0; i < numSnake; ++i){
for (int mask = 0; mask < MASK(numSnake); ++mask) if(!BIT(mask, i)){
dp_on[mask] += dp_on[mask ^ MASK(i)];
dp_off[mask] += dp_off[mask ^ MASK(i)];
}
}
for (int qu = 1; qu <= numQuery; ++qu){
int on = 0, off = 0, ask = 0;
string s; cin >> s;
for (int i = 0; i < numSnake; ++i){
if(s[i] == '1') on |= MASK(numSnake - i - 1);
if(s[i] == '0') off |= MASK(numSnake - i - 1);
if(s[i] == '?') ask |= MASK(numSnake - i - 1);
}
if(cnt(on) <= 6){
int ans = dp_off[off];
for (int sub = on; sub > 0; sub = (sub - 1) & on){
if(cnt(sub) & 1){
ans -= dp_off[sub | off];
}
else{
ans += dp_off[sub | off];
}
}
cout << ans << '\n';
continue;
}
if(cnt(off) <= 6){
int ans = dp_on[on];
for (int sub = off; sub > 0; sub = (sub - 1) & off){
if(cnt(sub) & 1){
ans -= dp_on[on | sub];
}
else{
ans += dp_on[on | sub];
}
}
cout << ans << '\n';
continue;
}
if(cnt(ask) <= 6){
int ans = label[on] - '0';
for (int sub = ask; sub > 0; sub = (sub - 1) & ask){
ans += label[on | sub] - '0';
}
cout << ans << '\n';
}
}
}
signed main(){
#define name "Whisper"
cin.tie(nullptr) -> sync_with_stdio(false);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
process();
return (0 ^ 0);
}
