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>
#pragma GCC optimize("O3,unroll-loops")
#define pb push_back
#define F first
#define S second
#define ld long double
#define all(a) a.begin(),a.end()
#define int long long
#define pii pair <int,int>
#define PII pair<pii , pii>
#define sz(v) (int)v.size()
#define rep(i , a , b) for(int i=a;i <= (b);i++)
#define per(i , a , b) for(int i=a;i >= (b);i--)
#define deb(x) cout <<#x << " : " << x << "\n" ;
using namespace std ;
const int maxn = 2e6 + 10 , c = 6 , maxp = 15e5 + 10 , inf= 1e18+10 ;
int d1[maxn] , d2[maxn] ;
signed main() {
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n ,q ;
cin >> n >> q;
string s;
cin >> s ;
rep(i , 0 , (1<<n)-1){
d1[i] = (s[i]-'0');
d2[i] = (s[i]-'0');
}
rep(i , 0 , n-1){
rep(j , 0 , (1<<n)-1){
if(j>>i&1){
d2[j]+=d2[j^(1<<i)] ;
}else{
d1[j]+=d1[j^(1<<i)] ;
}
}
}
while(q--){
string t;
cin >> t ;
reverse(all(t)) ;
int a=0,b=0,c=0;
rep(i , 0 ,n-1){
if(t[i]=='?')a+=(1<<i);
if(t[i]=='0')b+=(1<<i);
if(t[i]=='1')c+=(1<<i);
}
if(__builtin_popcount(a) <=6){
int ans =0;
for(int ms = a ; ; ms = (ms-1)&a){
ans += s[ms|c]-'0' ;
if(ms == 0)break ;
}
cout << ans << "\n";
continue;
}
if(__builtin_popcount(b) <= 6){
int ans =0 ;
for(int ms = b ; ; ms = (ms-1)&b){
if(__builtin_popcount(ms)%2){
ans -= d1[ms|c];
}else{
ans += d1[ms|c] ;
}
if(ms==0)break ;
}
cout << ans << "\n";
continue ;
}
int ans = 0 ;
for(int ms = c ; ;ms = (ms-1)&c){
if((__builtin_popcount(c)-__builtin_popcount(ms))%2){
ans -= d2[ms|a] ;
}else{
ans += d2[ms|a] ;
}
if(ms==0)break ;
}
cout << ans << "\n" ;
}
return 0;
}
/*
*/
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