#include <cstdio>
#include <stdio.h>
#include <stdbool.h>
#include <iostream>
#include <map>
#include <vector>
#include <climits>
#include <stack>
#include <string>
#include <queue>
#include <algorithm>
#include <set>
#include <unordered_set>
#include <unordered_map>
#include <cmath>
#include <cctype>
#include <bitset>
#include <iomanip>
#include <cstring>
#include <numeric>
#include <cassert>
#include <random>
using namespace std;
#define int long long
#define pii pair<int, int>
#define mp make_pair
#define pb push_back
#define fi first
#define se second
int32_t main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n, q;
string s;
cin>>n>>q>>s;
vector<int> vect((1<<n)), sup((1<<n), 0), rsup((1<<n), 0);
for (int i=0; i<(1<<n); ++i)vect[i]=sup[i]=rsup[i^((1<<n)-1)]=s[i]-'0';
for (int i=0; i<n; ++i)for (int mask=0; mask<(1<<n); ++mask)if (!(mask&(1<<i)))sup[mask]+=sup[mask^(1<<i)], rsup[mask]+=rsup[mask^(1<<i)];
while (q--){
cin>>s;
reverse(s.begin(), s.end());
int a=0, b=0, c=0, aa=0, bb=0, cc=0, res=0;
for (int i=0; i<n; ++i){
if (s[i]=='0')++aa, a|=(1<<i);
else if (s[i]=='1')++bb, b|=(1<<i);
else ++cc, c|=(1<<i);
}
if (min({aa, bb, cc})==aa){
for (int mask=a; mask; mask=(mask-1)&a)res+=(1-2*(__builtin_popcount(mask)%2))*sup[mask|b];
res+=sup[b];
}
else if (min(bb, cc)==bb){
for (int mask=b; mask; mask=(mask-1)&b)res+=(1-2*(__builtin_popcount(mask)%2))*sup[mask|a];
res+=rsup[a];
}
else{
for (int mask=c; mask; mask=(mask-1)&c)res+=vect[b|mask];
res+=vect[b];
}
cout<<res<<"\n";
}
}
