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 ("Ofast,unroll-loops")
// #pragma GCC target ("avx2")
using namespace std;
typedef long long ll;
typedef pair<int, int> pp;
#define er(args ...) cerr << __LINE__ << ": ", err(new istringstream(string(#args)), args), cerr << endl
#define per(i,r,l) for(int i = (r); i >= (l); i--)
#define rep(i,l,r) for(int i = (l); i < (r); i++)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
#define pb push_back
#define ss second
#define ff first
void err(istringstream *iss){}template<typename T,typename ...Args> void err(istringstream *iss,const T &_val, const Args&...args){string _name;*iss>>_name;if(_name.back()==',')_name.pop_back();cerr<<_name<<" = "<<_val<<", ",err(iss,args...);}
void IOS(){
cin.tie(0) -> sync_with_stdio(0);
// #ifndef ONLINE_JUDGE
// freopen("in.in", "r", stdin);
// freopen("out.out", "w", stdout);
// #endif
}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll mod = 1e9 + 7, maxn = 5e5 + 5, lg = 20, inf = ll(1e18) + 5;
ll pw(ll a,ll b,ll md=mod){if(!b)return 1;ll k=pw(a,b>>1ll);return k*k%md*(b&1ll?a:1)%md;}
int sml[1<<lg], lrg[1<<lg];
int main(){ IOS();
int n, q; cin >> n >> q;
string s; cin >> s;
rep(i,0,sz(s)) sml[i] = lrg[i] = s[i] - '0';
rep(i,0,n){
rep(j,0,1<<n){
if(j>>i&1){
sml[j] += sml[j^(1<<i)];
}else{
lrg[j] += lrg[j^(1<<i)];
}
}
}
while(q--){
string t; cin >> t;
vector<int> a[3];
rep(i,0,n){
if(t[n-1-i] == '?') a[2].pb(i);
else a[t[n-1-i]-'0'].pb(i);
}
int ans = 0;
if(sz(a[0]) <= n/3){
int vl = 0;
for(char c: t){
vl <<= 1;
if(c == '1') vl |= 1;
}
rep(i,0,1<<sz(a[0])){
int bt = vl;
int ptr = 0;
bool f = false;
for(int p: a[0]){
if(i>>ptr&1) bt ^= 1<<p, f ^= 1;
ptr++;
}
ans += (f?-1:1)*lrg[bt];
}
}else if(sz(a[1]) <= n/3){
int vl = 0;
for(char c: t){
vl <<= 1;
if(c != '0') vl |= 1;
}
rep(i,0,1<<sz(a[1])){
int bt = vl;
int ptr = 0;
bool f = false;
for(int p: a[1]){
if(i>>ptr&1) bt ^= 1<<p, f ^= 1;
ptr++;
}
ans += (f?-1:1)*sml[bt];
}
}else{
int vl = 0;
for(char c: t){
vl <<= 1;
if(c == '1') vl |= 1;
}
rep(i,0,1<<sz(a[2])){
int bt = vl;
int ptr = 0;
for(int p: a[2]){
if(i>>ptr&1) bt ^= 1<<p;
ptr++;
}
ans += s[bt]-'0';
}
}
cout << ans << '\n';
}
return 0;
}
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