| # | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
|---|---|---|---|---|---|---|---|
| 1304045 | anhkiet | Snake Escaping (JOI18_snake_escaping) | C++20 | 2095 ms | 7108 KiB |
#include <bits/stdc++.h>
using namespace std;
const int maxn = 1e5 + 100;
#define fi first
#define pdi pair < pair < double, double >, int >
#define se second
#define ll long long
#define pii pair < int, int >
const int MOD = 1e9 + 7;
const ll inf = 1e18;
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 ++;
}
// for (int i = 1; i <= l; i++) cout << c[i];
// cout << " " << t;
// cout << endl;
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;
}
}
}
namespace subtaskbip {
vector < int > bit0, bit1, bitH;
int dp[2][(1 << 20) + 5], base[(1 << 20) + 5];
void solve() {
int S = (1 << l);
int matna = 0;
for (int matna = 0; matna < S; matna++) {
dp[1][matna] = (s[matna] - '0');
base[matna] = (s[matna] - '0');
int nmatna = (~matna) & ((1 << l)- 1);
dp[0][nmatna] = base[matna];
}
for (int i = 0; i < l; i++) {
for (int mask = 0; mask < S; mask++) {
if (mask >> i & 1) {
int nmask = mask ^ (1 << i);
dp[1][mask] += dp[1][nmask];
}
}
}
for (int i = 0; i < l; i++) {
for (int mask = 0; mask < S; mask++) {
if (!(mask >> i & 1)) {
int nmask = mask | (1 << i);
dp[0][mask] += dp[0][nmask];
}
}
}
for (int i= 1; i <= q; i++) {
string st = qry[i];
bit1.clear();
bit0.clear();
bitH.clear();
reverse(st.begin(), st.end());
for (int j = 0; j < st.size(); j++) {
char x = st[j];
if (x == '0') bit0.push_back(j);
if (x == '1') bit1.push_back(j);
if (x == '?') bitH.push_back(j);
}
int ans = 0;
int f = 0;
for (int i = 0; i < st.size(); i++) {
if (st[i] != '0') f |= (1 << i);
}
if (bitH.size() <= 6) {
int LIM = (1 << (int)bitH.size());
for (int mask = 0; mask < LIM; mask++) {
int cur = f;
for (int i = 0; i < bitH.size(); i++) {
if (mask >> i & 1) {
int bit = bitH[i];
cur ^= (1 << bit);
}
}
ans += base[cur];
}
cout << ans << '\n';
} else if (bit1.size() <= 6) {
int LIM = (1 << (int)bit1.size());
for (int mask = 0; mask < LIM; mask++) {
int cur = f;
for (int i = 0; i < bit1.size(); i++) {
if (mask >> i & 1) {
int bit = bit1[i];
cur ^= (1 << bit);
}
}
if (__builtin_popcount(mask) % 2) ans -= dp[1][cur];
else ans += dp[1][cur];
}
cout << ans << '\n';
} else if (bit0.size() <= 6) {
f = 0;
for (int i = 0; i < st.size(); i++) {
if (st[i] != '1') f |= (1 << i);
}
int LIM = (1 << (int)bit0.size());
for (int mask = 0; mask < LIM; mask++) {
int cur = f;
for (int i = 0; i < bit0.size(); i++) {
if (mask >> i & 1) {
int bit = bit0[i];
cur ^= (1 << bit);
}
}
if (__builtin_popcount(mask) % 2) ans -= dp[0][cur];
else ans += dp[0][cur];
}
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];
}
if (n <= 10) subtask1::solve();
else subtaskbip::solve();
}
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