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")
using namespace std;
#define ll long long
//#define int ll
#define FOR(i,a,b) for (int i = (a); i<(b); i++)
#define REP(i,n) FOR(i,0,n)
#define REP1(i,n) FOR(i,1,n+1)
#define RREP(i,n) for (int i=(n)-1; i>=0; i--)
#define f first
#define s second
#define pb push_back
#define ALL(x) x.begin(),x.end()
#define SZ(x) (int)(x.size())
#define SQ(x) (x)*(x)
#define pii pair<int, int>
#define pdd pair<double ,double>
#define pcc pair<char, char>
#define endl '\n'
//#define TOAD
#ifdef TOAD
#define bug(x) cerr<<__LINE__<<": "<<#x<<" is "<<x<<endl
#define IOS()
#else
#define bug(...)
#define IOS() ios::sync_with_stdio(0), cin.tie(0), cout.tie(0)
#endif
const ll inf = 1ll<<60;
const int iinf=2147483647;
const ll mod = 1e9+7;
const ll maxn=1594323;
const double PI=acos(-1);
ll pw(ll x, ll p, ll m=mod){
ll ret=1;
while (p>0){
if (p&1){
ret*=x;
ret%=m;
}
x*=x;
x%=m;
p>>=1;
}
return ret;
}
ll inv(ll a, ll m=mod){
return pw(a,m-2);
}
//=======================================================================================
int n,q;
string str;
int dp[maxn], pw3[15];
void SOS(){
REP(i,(1<<n)){
int ac=0;
REP(j,n){
if (i&(1<<j)) ac+=pw3[j];
}
dp[ac]=str[i]-'0';
}
REP(i,n){
string cur;
REP(j,n){
cur+='0';
}
REP(j,pw3[n]){
if (cur[i]=='2'){
dp[j]+=dp[j-2*pw3[i]]+dp[j-pw3[i]];
}
REP(k,n){
if (cur[k]!='2') {
cur[k]++;
break;
}
cur[k]='0';
}
}
}
}
signed main (){
IOS();
cin>>n>>q;
cin>>str;
pw3[0]=1;
REP1(i,14){
pw3[i]=pw3[i-1]*3;
}
SOS();
string in;
int cur=0;
REP(i,q){
cur=0;
cin>>in;
reverse(ALL(in));
REP(i,n){
if (in[i]=='1'){
cur+=pw3[i];
}
else if (in[i]=='?'){
cur+=pw3[i]*2;
}
}
//cout<<cur<<endl;
cout<<dp[cur]<<endl;
}
}
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