#include <iostream>
#include <iomanip>
#include <vector>
#include <cmath>
#include <algorithm>
#include <set>
#include <queue>
#include <map>
#include <unordered_map>
#include <stack>
#include <bitset>
#include <string>
#include <cstring>
#include <iterator>
#include <random>
#define ll long long
#define ld long double
#define inf (ll)(2*1e18)
#define sort(a) sort(a.begin(), a.end())
#define reverse(a) reverse(a.begin(), a.end())
#define pb push_back
#define endl "\n"
using namespace std;
void solve(){
ll l, q, n, i, j, mask, s1, s2, s3, res=0;
char x;
cin>>l>>q;
n = (1<<l);
vector<ll> a(n);
vector<ll> b(n);
vector<ll> c(n);
for(i=0;i<n;++i){
cin>>x;
a[i] = x - '0';
b[i] = a[i];
c[(n-1)^i] = a[i];
}
for(i=0;i<l;++i){
for(mask=0;mask<n;++mask){
if(mask&(1<<i)){
b[mask] += b[mask^(1<<i)];
c[mask] += c[mask^(1<<i)];
}
}
}
for(i=0;i<q;++i){
s1 = 0;
s2 = 0;
s3 = n-1;
for(j=l-1;j>=0;--j){
cin>>x;
if(x == '1'){
s1 += (1<<j);
}else if(x == '?'){
s2 += (1<<j);
}
}
s3 -= s1;
s3 -= s2;
if(s1 == min({s1, s2, s3})){
res = 0;
for(mask=s1;mask>0;mask=(mask-1)&s1){
if(__builtin_popcountll(mask^s1)&1){
res -= b[s2|mask];
}else{
res += b[s2|mask];
}
}
if(__builtin_popcountll(s1)&1){
res -= b[s2];
}else{
res += b[s2];
}
cout<<res<<endl;
}else if(s2 == min(s2, s3)){
res = 0;
for(mask=s2;mask>0;mask=(mask-1)&s2){
res += a[mask|s1];
}
res += a[s1];
cout<<res<<endl;
}else{
res = 0;
for(mask=s3;mask>0;mask=(mask-1)&s3){
if(__builtin_popcountll(mask^s3)&1){
res -= c[s2|mask];
}else{
res += c[s2|mask];
}
}
if(__builtin_popcountll(s3)&1){
res -= c[s2];
}else{
res += c[s2];
}
cout<<res<<endl;
}
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
srand(time(nullptr));
ll t=1;
// cin>>t;
for(;t>0;--t){
solve();
}
return 0;
}
