#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
//#define int long long
#define double long double
#define x first
#define y second
#define pb push_back
using namespace std;
using namespace __gnu_pbds;
using pii=pair <int,int>;
using tii=pair <pii,int>;
int a[1050000];
vector <int> seg[500000];
void build(int id,int tl,int tr){
if (tl==tr){
seg[id].pb(a[tl]);
return;
}
int tm=(tl+tr)/2;
build(2*id,tl,tm);
build(2*id+1,tm+1,tr);
seg[id].pb(seg[2*id][0]+seg[2*id][1]);
}
void gol(int id,int oriid,int dep){
if (!dep){
seg[id].pb(seg[oriid].back());
return;
}
gol(2*id,2*oriid,dep-1);
gol(2*id+1,2*oriid+1,dep-1);
seg[id].pb(seg[2*id].back()+seg[2*id+1].back());
}
void gor(int id,int oriid,int dep){
if (!dep){
seg[id].back()+=seg[oriid].back();
return;
}
gor(2*id,2*oriid,dep-1);
gor(2*id+1,2*oriid+1,dep-1);
seg[id].back()=seg[2*id].back()+seg[2*id+1].back();
}
void rebuild(int id,int dep){
gol(id,2*id,dep-1);
gor(id,2*id+1,dep-1);
}
void unbuild(int id,int dep){
seg[id].pop_back();
if (dep<=1) return;
unbuild(2*id,dep-1);
unbuild(2*id+1,dep-1);
}
void solve(){
int n,q;
cin>>n>>q;
for (int i=1; i<=(1<<n); i++){
char c; cin>>c;
a[i]=(c-'0');
}
build(1,1,(1<<n));
pair <long long,int> qu[q+1];
qu[0]={0,0};
long long pw;
for (int i=1; i<=q; i++){
string str; cin>>str;
qu[i].x=0;
pw=1;
for (int j=n-1; j>=0; j--){
if (str[j]=='?') qu[i].x+=pw*2;
else if (str[j]=='1') qu[i].x+=pw;
pw*=4;
}
qu[i].y=i;
}
sort(qu+1,qu+q+1);
stack <int> st;
for (int i=0; i<=n; i++) st.push(1<<i);
int ans[q+1],f;
for (int i=1; i<=q; i++){
f=n;
for (int j=0; j<2*n; j++){
if ((qu[i-1].x&(1ll<<j))!=(qu[i].x&(1ll<<j))) f=n-j/2-1;
}
for (int j=n-1; j>=f; j--){
st.pop();
if (qu[i-1].x&(1ll<<((n-j)*2-1))) unbuild(st.top(),n-j);
}
for (int j=f; j<n; j++){
if (qu[i].x&(1ll<<((n-j)*2-1))){
st.push(st.top());
rebuild(st.top(),n-j);
} else if (qu[i].x&(1ll<<((n-j-1)*2))) st.push(st.top()*2+1);
else st.push(st.top()*2);
}
ans[qu[i].y]=seg[st.top()].back();
}
for (int i=1; i<=q; i++) cout<<ans[i]<<'\n';
}
signed main(){
ios_base::sync_with_stdio(0); cin.tie(0);
int t=1;
//cin>>t;
while (t--) solve();
}
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