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("unroll-loops,no-stack-protector")
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pll;
const ll MOD=1e9+7;
const ll MOD2=998244353;
const ll N=(1LL<<21);
const ll K=350;
const ld pi=acos(-1);
const ll INF=(1LL<<60);
#define SQ(i) ((i)*(i))
#define REP(i,n) for(ll i=0;i<n;i++)
#define REP1(i,n) for(ll i=1;i<=n;i++)
#define pb push_back
#define mp make_pair
#define X first
#define Y second
#define setp setprecision
#define lwb lower_bound
#define SZ(_a) (ll)_a.size()
ll n,q,L,f[N],b[N],bcnt[N],u[N],p0,p1,p2,res;
string s;
int main(){
ios_base::sync_with_stdio(0);cin.tie(0);
cin>>n>>q>>s;
L=(1<<n);
REP(i,L){
f[i]=b[i]=u[i]=s[i]-'0';
bcnt[i]=bcnt[i>>1]+(i&1);
}
for(int i=1;i<L;i<<=1){
REP(j,L){
if(i&j)f[j]+=f[i^j],b[i^j]+=b[j];
}
}
while(q--){
cin>>s;
p0=p1=p2=res=0;
REP(i,n){
if(s[n-i-1]=='0')p0|=(1<<i);
else if(s[n-i-1]=='1')p1|=(1<<i);
else p2|=(1<<i);
}
if(bcnt[p0]<=6){
for(int bit=p0;;bit=(bit-1)&p0){
if(bcnt[bit]&1)res-=b[bit|p1];
else res+=b[bit|p1];
if(!bit)break;
}
}else if(bcnt[p1]<=6){
for(int bit=p1;;bit=(bit-1)&p1){
if(bcnt[bit^p1]&1)res-=f[bit|p2];
else res+=f[bit|p2];
if(!bit)break;
}
}else{
for(int bit=p2;;bit=(bit-1)&p2){
res+=u[p1|bit];
if(!bit)break;
}
}
cout<<res<<"\n";
}
return 0;
}
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