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;
const int MAX_L = 20;
const int MAX_N = (1<<MAX_L);
int S[MAX_N];
int super[MAX_N], sub[MAX_N];
int cnt_bit[MAX_N];
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int L, Q;
string str;
cin >> L >> Q >> str;
for(int i = 0; i < (1<<L); i++) {
S[i] = super[i] = sub[i] = str[i] - '0';
cnt_bit[i] = __builtin_popcount(i);
}
for(int i = 0; i < L; i++) {
for(int mask = 0; mask < (1<<L); mask++) {
if(mask & (1<<i)) {
sub[mask] += sub[mask ^ (1<<i)];
}
else {
super[mask] += super[mask ^ (1<<i)];
}
}
}
while(Q--) {
string t;
cin >> t;
reverse(t.begin(), t.end());
int A = 0, B = 0, C = 0;
int cntA = 0, cntB = 0, cntC = 0;
for(int i = 0; i < L; i++) {
if(t[i] == '0') {
A |= (1<<i);
cntA++;
}
else if(t[i] == '1') {
B |= (1<<i);
cntB++;
}
else { // t[i] == '?'
C |= (1<<i);
cntC++;
}
}
int ans = 0;
if(cntA <= min(cntB, cntC)) {
for(int mask = A;; mask = (mask - 1) & A) {
if(cnt_bit[mask] % 2 == 0) {
ans += super[B | mask];
}
else {
ans -= super[B | mask];
}
if(mask == 0) {
break;
}
}
}
else if(cntB <= min(cntA, cntC)) {
for(int mask = B;; mask = (mask - 1) & B) {
if(cnt_bit[mask] % 2 == 0) {
ans += sub[C | (mask ^ B)];
}
else {
ans -= sub[C | (mask ^ B)];
}
if(mask == 0) {
break;
}
}
}
else if(cntC <= min(cntA, cntB)) {
for(int mask = C;; mask = (mask - 1) & C) {
ans += S[mask | B];
if(mask == 0) {
break;
}
}
}
cout << ans << '\n';
}
return 0;
}
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