#include <bits/stdc++.h>
#define pb push_back
#define f first
#define sc second
using namespace std;
typedef long long int ll;
typedef string str;
const int p3[] = {1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683, 59049, 177147, 531441, 1594323, 4782969, 14348907};
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
int L, Q; cin >> L >> Q;
int* v = new int[1<<L];
for(int i = 0; i < (1<<L); i++){
char c; cin >> c;
v[i] = c-'0';
}
int** dp = new int*[p3[L]];
for(int i = 0; i < p3[L]; i++){
dp[i] = new int[L+1];
fill(dp[i], dp[i]+L+1, 0);
}
for(int i = 0; i < (1<<L); i++){
int x = 0;
for(int j = 0; j < L; j++) if(i&(1<<j)) x+=p3[j];
dp[x][0]+=v[i];
}
for(int i = 0; i < p3[L]; i++) for(int j = 1; j <= L; j++){
int x = (i/p3[j-1])%3;
if(x < 2)
dp[i][j] = dp[i][j-1];
else
dp[i][j] = dp[i-p3[j-1]*2][j-1]+dp[i-p3[j-1]][j-1];
}
while(Q--){
str s; cin >> s;
reverse(s.begin(), s.end());
int x = 0;
for(int i = 0; i < L; i++){
if(s[i] == '?') x+=p3[i]*2;
else x+=(s[i]-'0')*p3[i];
}
cout << dp[x][L] << "\n";
}
}
