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>
#define f first
#define s second
#define pb push_back
#define mp make_pair
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
using namespace std;
typedef pair<int, int> pii;
#define N 350010
int n, q;
string t;
int ans[1600000], pow3[30], cost[1600000];
int get_mask(int mask, int i){
return (mask/pow3[i]) % 3;
}
bool vis[N];
void gen(int mask){
if(vis[mask]) return;
vis[mask] = 1;
for(int i = 0; i < n; i++){
int value = get_mask(mask, i);
if(value == 2){
int L = mask, R = mask;
L += -2*pow3[i] + pow3[i];
R += -2*pow3[i];
gen(L);
gen(R);
cost[mask] += cost[L] + cost[R];
break;
}
}
}
int32_t main(){
ios::sync_with_stdio(false); cin.tie(0);
cin>>n>>q;
cin>>t;
pow3[0] = 1;
for(int i = 1; i < 30; i++) pow3[i] = (3*pow3[i-1]);
for(int i = 0; i < (1<<n); i++){
int mask = 0;
for(int j= 0; j < n; j++){
if(i & (1<<j)) mask += pow3[j];
}
cost[mask] += t[i]-'0';
}
for(int i = 1 ; i < pow3[n] ; i ++){
for(int j = 0 ; j < n ; j ++){
if(get_mask(i,j) == 2){
int u = i - pow3[j]*2 , v = u + pow3[j];
cost[i] += cost[u] + cost[v];
break ;
}
}
}
while(q--){
string s;
int mask = 0;
cin>>s;
reverse(all(s));
for(int i = 0; i < n; i++){
if(s[i] == '1') mask += pow3[i];
else if(s[i] == '?') mask += 2*pow3[i];
}
// gen(mask);
cout<<cost[mask]<<"\n";
}
}
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