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>
using namespace std;
typedef long long ll;
#define rep(a, b) for(int a = 0; a < (b); ++a)
#define st first
#define nd second
#define pb push_back
const int LIM=1<<20;
int T[LIM], ans[LIM], n, q;
pair<ll,int>pyt[LIM];
void solve(int l, int r, ll k, int a, int b) {
if(l==r) {
while(a<=b) {
ans[pyt[a].nd]=T[l];
++a;
}
return;
}
int x=a;
while(x<=b && (pyt[x].st/k)%3==0) ++x;
if(x>a) solve(l, (l+r)/2, k/3, a, x-1);
int y=x;
while(y<=b && (pyt[y].st/k)%3==1) ++y;
if(y>x) solve((l+r)/2+1, r, k/3, x, y-1);
if(y<=b) {
rep(i, (r-l+1)/2) T[l+i]+=T[(l+r)/2+1+i];
solve(l, (l+r)/2, k/3, y, b);
rep(i, (r-l+1)/2) T[l+i]-=T[(l+r)/2+1+i];
}
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
string s;
cin >> n >> q >> s;
ll k=1;
rep(i, n-1) k*=3;
n=1<<n;
rep(i, n) T[i]=s[i]-'0';
rep(i, q) {
string a;
cin >> a;
for(auto j : a) {
pyt[i].st*=3;
if(j=='?') pyt[i].st+=2;
else pyt[i].st+=j-'0';
}
pyt[i].nd=i;
}
sort(pyt, pyt+q);
solve(0, n-1, k, 0, q-1);
rep(i, q) cout << ans[i] << '\n';
}
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