이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
#pragma GCC target ("popcnt")
using namespace std;
#define ll long long
#define y1 zck_is_king
#define pii pair<int, int>
#define ull unsigned ll
#define f first
#define s second
#define ALL(x) x.begin(),x.end()
#define SZ(x) (int)x.size()
#define SQ(x) (x)*(x)
#define MN(a,b) a = min(a,(__typeof__(a))(b))
#define MX(a,b) a = max(a,(__typeof__(a))(b))
#define pb push_back
#define REP(i,n) for (int i = 0; i<n; ++i)
#define RREP(i,n) for (int i = n-1; i>=0; --i)
#define REP1(i,n) for (int i = 1; i<=n; ++i)
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()), c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
#ifdef BALBIT
#define IOS()
#define bug(...) fprintf(stderr,"#%d (%s) = ",__LINE__,#__VA_ARGS__),_do(__VA_ARGS__);
template<typename T> void _do(T &&x){cerr<<x<<endl;}
template<typename T, typename ...S> void _do(T &&x, S &&...y){cerr<<x<<", ";_do(y...);}
#else
#define IOS() ios_base::sync_with_stdio(0);cin.tie(0);
#define endl '\n'
#define bug(...)
#endif
const int iinf = 1e9+10;
const ll inf = 1ll<<60;
const ll mod = 1e9+7 ;
void GG(){cout<<"0\n"; exit(0);}
ll mpow(ll a, ll n, ll mo = mod){ // a^n % mod
ll re=1;
while (n>0){
if (n&1) re = re*a %mo;
a = a*a %mo;
n>>=1;
}
return re;
}
ll inv (ll b, ll mo = mod){
if (b==1) return b;
return (mo-mo/b) * inv(mo%b,mo) % mo;
}
const int maxn = 1e5+5;
int A[1<<20], B[1<<20], F[1<<20];
bool poppar[1<<20];
signed main(){
IOS();
int n, q; cin>>n>>q;
REP(i, 1<<n) {
poppar[i] = __builtin_popcount(i) & 1;
}
int flip = (1<<n)-1;
REP(i, 1<<n) {
char c; cin>>c;
F[i] = A[i] = B[i^flip] = c-'0';
}
REP(i, n) {
REP(j, 1<<n) {
if (j & (1<<i)) {
A[j] += A[j^(1<<i)];
B[j] += B[j^(1<<i)];
}
}
}
// bug(A[6]);
while (q--) {
string s; cin>>s;
reverse(ALL(s));
int a,b,c; a=b=c=0;
for( char ch : s) {
if (ch == '?') ++c;
if (ch == '1') ++a;
if (ch == '0') ++b;
}
int mn = min({a,b,c});
int re = 0;
if (mn == c) {
int msk = 0;
int base = 0;
REP(i, n) {
if (s[i] == '?') msk += 1<<i;
if (s[i] == '1') base+= 1<<i;
}
int org = msk;
for (;;msk = (msk-1) & (org)) {
re += F[base | msk];
if(msk == 0) break;
}
}else {
int *U = min(a,b) == a? A:B;
if (min(a,b) != a) {
for (char &ch : s) {
if (ch != '?') ch = ch=='1'?'0':'1';
}
}
int msk = 0;
int base = 0;
REP(i,n) {
if (s[i] == '1') msk += 1<<i;
if (s[i] == '?') base+= 1<<i;
}
bug(msk, base, min(a,b) == a);
int org = msk;
for (; ; msk = (msk - 1) & org) {
re += (poppar[msk^org])?-U[msk|base]:U[msk|base];
if (msk == 0) break;
}
}
cout<<re<<endl;
}
}
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