| # | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
|---|---|---|---|---|---|---|---|
| 1304806 | anhkiet | Snake Escaping (JOI18_snake_escaping) | C++20 | 362 ms | 110940 KiB |
#include <bits/stdc++.h>
using namespace std;
const int maxn = 1e6 + 5e4;
#define ll long long
string s;
int l, q;
int n, ans;
char b[maxn];
int c[maxn];
string qry[maxn];
void xuly() {
for (int i = 1; i <= l; i++) {
if (c[i] != (b[i] - '0') && b[i] != '?') return;
}
int cur = 0;
int t = 0;
for (int i = l; i >= 1; i--) {
if (c[i] == 1) t += (1 << cur);
cur++;
}
ans += (s[t] - '0');
}
void backtrack(int i) {
for (int j = 0; j <= 1; j++) {
c[i] = j;
if (i == l) xuly();
else backtrack(i + 1);
}
}
namespace subtask1 {
void solve() {
for (int i = 1; i <= q; i++) {
for (int j = 1; j <= l; j++) b[j] = qry[i][j - 1];
backtrack(1);
cout << ans << '\n';
ans = 0;
}
}
}
// phần sửa: an toàn cấp phát theo S và kiểu phù hợp
namespace subtaskbip {
void solve() {
int S = (1 << l); // beware: đảm bảo l <= 30 trong problem constraints
vector<long long> base(S), dp1(S), dp0(S);
// fill base
for (int mask = 0; mask < S; ++mask) {
base[mask] = s[mask] - '0';
dp1[mask] = base[mask];
// mirror into dp0: dp0[(S-1)^mask] = base[mask]
dp0[(S - 1) ^ mask] = base[mask];
}
// subset-sum (zeta) for dp1 and dp0
for (int i = 0; i < l; ++i) {
for (int mask = 0; mask < S; ++mask) {
if (mask & (1 << i)) {
dp1[mask] += dp1[mask ^ (1 << i)];
dp0[mask] += dp0[mask ^ (1 << i)];
}
}
}
for (int qi = 1; qi <= q; ++qi) {
string st = qry[qi];
reverse(st.begin(), st.end());
int x = 0, y = 0, z = 0;
int d0 = 0, d1 = 0, d2 = 0;
for (int j = 0; j < l; ++j) {
if (st[j] == '0') { x |= (1 << j); d0++; }
else if (st[j] == '1') { y |= (1 << j); d1++; }
else { z |= (1 << j); d2++; }
}
long long ans = 0;
if (d2 <= 6) {
// enumerate subsets of z
for (int mask = z; ; mask = (mask - 1) & z) {
ans += base[mask | y];
if (mask == 0) break;
}
}
else if (d1 <= 6) {
for (int mask = y; ; mask = (mask - 1) & y) {
if (__builtin_popcount(mask ^ y) & 1) ans -= dp1[mask | z];
else ans += dp1[mask | z];
if (mask == 0) break;
}
}
else {
for (int mask = x; ; mask = (mask - 1) & x) {
if (__builtin_popcount(mask ^ x) & 1) ans -= dp0[mask | z];
else ans += dp0[mask | z];
if (mask == 0) break;
}
}
cout << ans << '\n';
}
}
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
#define NAME "test"
if (fopen(NAME".INP", "r")) {
freopen(NAME".INP", "r",stdin);
freopen(NAME".OUT", "w",stdout);
}
cin >> l >> q;
cin >> s;
for (int i = 1; i <= q; i++) cin >> qry[i];
subtaskbip::solve();
}
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