This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define fi first
#define se second
#define sz(a) (int)(a.size())
#define all(a) a.begin(),a.end()
#define lb lower_bound
#define ub upper_bound
#define owo ios_base::sync_with_stdio(0);cin.tie(0);
#define MOD (ll)(1e9+7)
#define INF (ll)(1e18)
#define debug(...) fprintf(stderr, __VA_ARGS__),fflush(stderr)
#define time__(d) for(long blockTime = 0; (blockTime == 0 ? (blockTime=clock()) != 0 : false);\
debug("%s time : %.4fs\n", d, (double)(clock() - blockTime) / CLOCKS_PER_SEC))
typedef long long int ll;
typedef long double ld;
typedef pair<ll,ll> PII;
typedef pair<int,int> pii;
typedef vector<vector<int>> vii;
typedef vector<vector<ll>> VII;
typedef pair<int,pii> P;
ll gcd(ll a,ll b){if(!b)return a;else return gcd(b,a%b);}
const int pw[22] = {1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192,16384,32768,65536,131072,262144,524288,1048576,2097152};
int main()
{
owo
int l,q;
cin>>l>>q;
vector<int>sub(pw[(l+1)]),sup(pw[(l+1)]),cnt(pw[l+1]);
for(int i=0;i<(1<<(l+1));i++)cnt[i] = __builtin_popcount(i);
string snek;
for(int i=0;i<pw[l];i++){
char c;cin>>c;
sub[i]+=c-'0';
sup[i]+=c-'0';
snek+=c;
}
for(int i=0;i<l;i++){
for(int j=0;j<pw[l];j++){
if(j&pw[i])sub[j]+=sub[j^pw[i]];
else sup[j]+=sup[j^pw[i]];
}
}
while(q--){
int A=0,B=0,C=0;
vector<int>a,b,c;
string s;cin>>s;
int ans = 0;
for(int i=0;i<l;i++){
if(s[i] == '?'){c.pb(l-i-1);C+=pw[l-i-1];}
else if(s[i] == '0'){a.pb(l-i-1);A+=pw[l-i-1];}
else {b.pb(l-i-1);B+=pw[l-i-1];}
}
if(sz(c) <= 6){
for(int i=C;i!=0;i=(i-1)&C){
ans+=snek[B|i]-'0';
}
ans+=snek[B]-'0';
}
else if(sz(a) <= 6){
for(int i=A;i!=0;i=(i-1)&A){
if(cnt[i]&1)ans-=sup[i|B];
else ans+=sup[i|B];
}
ans+=sup[B];
}else{
for(int i=B;i!=0;i=(i-1)&B){
if((cnt[B]-cnt[i])&1)ans-=sub[C|i];
else ans+=sub[C|i];
}
if(cnt[B]&1)ans-=sub[C];
else ans+=sub[C];
}
cout<<ans<<'\n';
}
}
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