This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "bits/stdc++.h"
#define F first
#define S second
#define ll long long
#define pii pair<ll,int>
const int mxN = (1 << 20) + 5;
const int mod = 1e9 + 7;
using namespace std;
int sos[mxN][23][2];
signed main(){
// ios_base::sync_with_stdio(0);
// cin.tie(0);
// cout.tie(0);
int n,q;
cin >>n>>q;
string s;
cin>>s;
for(int i = 0;i < n;i++){
for(int mask = 0;mask < (1 << n);mask++){
sos[mask][0][0] = s[mask] - '0';
if(mask % 2) sos[mask][0][0] += s[mask - 1] - '0';
sos[mask][0][1] = s[mask] - '0';
if(mask % 2 == 0) sos[mask][0][1] += s[mask + 1] - '0';
if(!i) continue;
sos[mask][i][0] = sos[mask][i - 1][0];
sos[mask][i][1] = sos[mask][i - 1][1];
if(mask >> i & 1) sos[mask][i][0] += sos[mask - (1 << i)][i - 1][0];
else sos[mask][i][1] += sos[mask + (1 << i)][i - 1][1];
}
}
while(q--){
string a;
cin >>a;
reverse(a.begin(),a.end());
int Qcnt = 0, Ocnt = 0, Icnt = 0;
for(auto x : a){
if(x == '?') Qcnt++;
else if(x == '1') Icnt++;
else Ocnt++;
}
int ans = 0;
if(1){
// printf("? small\n");
for(int mask = 0;mask < (1 << Qcnt);mask++){
int cnt = 0;
int num = 0;
int i = 0;
for(auto x : a){
if(x == '?' && (mask >> cnt & 1)) {
num += (1 << i);
cnt++;
}
if(x == '1') num += (1 << i);
i++;
}
ans += s[num] - '0';
}
}else if(min({Qcnt,Ocnt,Icnt}) == Icnt){
// printf("1 small\n");
for(int mask = 0; mask < (1 << Icnt);mask++){
int cnt = 0;
int num = 0;
int i = 0;
for(auto x : a){
if(x == '1' && (mask >> cnt & 1)) {
num += (1 << i);
cnt++;
}
if(x == '?') num += (1 << i);
i++;
}
if(Icnt % 2 == __builtin_popcount(mask) % 2) ans += sos[num][n - 1][0];
else ans -= sos[num][n - 1][0];
}
}else{
for(int mask = 0; mask < (1 << Ocnt);mask++){
// printf("0 small\n");
int cnt = 0;
int num = 0;
int i = 0;
for(auto x : a){
if(x == '0' && (mask >> cnt & 1)) {
num += (1 << i);
cnt++;
}
if(x == '1') num += (1 << i);
// if(x == '?') num += (1 << i);
i++;
}
if(0 == __builtin_popcount(mask) % 2) ans += sos[num][n - 1][1];
else ans -= sos[num][n - 1][1];
}
}
cout<<ans<<'\n';
}
}
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