This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// #pragma GCC optimize("O3")
#include <bits/stdc++.h>
#define int long long
#define F first
#define S second
#define pii pair<int, int>
#define all(x) x.begin(), x.end()
#define kill(x) cout << x << endl, exit(0);
#define mp make_pair
#define pb push_back
#define endl "\n"
using namespace std;
typedef long long ll;
typedef long double ld;
const int MAXN = (int)(1<<21) + 7;
const int MOD = 998244353;
const int INF = (int)1e18 + 7;
const int LG = 21;
int n, m, t, flag, u, v, w, k, tmp, tmp2, tmp3, tmp4, tmp5, tmp6, ans, q, h;
int arr[MAXN], sub[MAXN], sup[MAXN];
string s, s2;
int Z, O, Q;
int32_t main() {
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n >> q;
cin >> s;
for (int i=0; i<(1<<n); i++) sub[i] = sup[i] = s[i]-'0';
for (int j=0; j<LG; j++) for (int i=0; i<MAXN; i++) if (i&(1<<j)) sub[i] += sub[i^(1<<j)];
for (int j=0; j<LG; j++) for (int i=MAXN-1; i>=0; i--) if (i&(1<<j)) sup[i^(1<<j)] += sup[i];
while (q--) {
cin >> s2;
reverse(all(s2));
Z = O = Q = 0;
for (int i=0; i<n; i++) {
if (s2[i] == '1') {
O += (1<<i);
} else if (s2[i] == '0') {
Z += (1<<i);
} else {
Q += (1<<i);
}
}
if (__builtin_popcount(Q) <= 10 ) {
ans = s[O]-'0';
for (int mask=Q; mask!=0; mask=Q&(mask-1)) ans += s[mask+O]-'0';
} else if (__builtin_popcount(Z) <= 10) {
ans = sup[O];
for (int mask=Z; mask!=0; mask=Z&(mask-1)) ans += sup[mask+O]*((__builtin_popcount(mask)%2) == 1? -1 : 1);
} else {
// ans = (s[Q]-'0')*(__builtin_popcount(O)%2 == 1? -1 : 1);
// for (int mask=O; mask!=0; mask=O&(mask-1)) ans += sub[mask+Q]*(__builtin_popcount(O-mask)%2 == 1? -1 : 1);
}
cout << ans << endl;
}
return 0;
}
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