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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#860857 | #9980. Boolean Function Reconstruction | ucup-team112# | WA | 16ms | 3712kb | C++20 | 14.2kb | 2025-01-18 15:16:02 | 2025-01-18 15:20:31 |
Judging History
answer
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
// #define INTERACTIVE
#include <bits/stdc++.h>
using namespace std;
namespace templates {
// type
using ll = long long;
using ull = unsigned long long;
using Pii = pair<int, int>;
using Pil = pair<int, ll>;
using Pli = pair<ll, int>;
using Pll = pair<ll, ll>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
// clang-format off
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));
// clang-format on
// for loop
#define fori1(a) for (ll _ = 0; _ < (a); _++)
#define fori2(i, a) for (ll i = 0; i < (a); i++)
#define fori3(i, a, b) for (ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)
// declare and input
// clang-format off
#define INT(...) int __VA_ARGS__; inp(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__);
#define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__);
#define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__);
#define DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___);
#define VEC(T, A, n) vector<T> A(n); inp(A);
#define VVEC(T, A, n, m) vector<vector<T>> A(n, vector<T>(m)); inp(A);
// clang-format on
// const value
const ll MOD1 = 1000000007;
const ll MOD9 = 998244353;
const double PI = acos(-1);
// other macro
#if !defined(RIN__LOCAL) && !defined(INTERACTIVE)
#define endl "\n"
#endif
#define spa ' '
#define len(A) ll(A.size())
#define all(A) begin(A), end(A)
// function
vector<char> stoc(string &S) {
int n = S.size();
vector<char> ret(n);
for (int i = 0; i < n; i++) ret[i] = S[i];
return ret;
}
string ctos(vector<char> &S) {
int n = S.size();
string ret = "";
for (int i = 0; i < n; i++) ret += S[i];
return ret;
}
template <class T>
auto min(const T &a) {
return *min_element(all(a));
}
template <class T>
auto max(const T &a) {
return *max_element(all(a));
}
template <class T, class S>
auto clamp(T &a, const S &l, const S &r) {
return (a > r ? r : a < l ? l : a);
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
auto b = clamp(a, l, r);
return (a != b ? a = b, 1 : 0);
}
template <typename T>
T sum(vector<T> &A) {
T tot = 0;
for (auto a : A) tot += a;
return tot;
}
template <typename T>
vector<T> compression(vector<T> X) {
sort(all(X));
X.erase(unique(all(X)), X.end());
return X;
}
// input and output
namespace io {
// __int128_t
std::istream &operator>>(std::istream &is, __int128_t &value) {
std::string str;
is >> str;
value = 0;
int sign = 1;
for (size_t i = 0; i < str.size(); i++) {
if (i == 0 && str[i] == '-') {
sign = -1;
continue;
}
value = value * 10 + str[i] - '0';
}
value *= sign;
return is;
}
std::ostream &operator<<(std::ostream &dest, __int128_t value) {
std::ostream::sentry s(dest);
if (s) {
__uint128_t tmp = value < 0 ? -value : value;
char buffer[128];
char *d = std::end(buffer);
do {
--d;
*d = "0123456789"[tmp % 10];
tmp /= 10;
} while (tmp != 0);
if (value < 0) {
--d;
*d = '-';
}
int len = std::end(buffer) - d;
if (dest.rdbuf()->sputn(d, len) != len) {
dest.setstate(std::ios_base::badbit);
}
}
return dest;
}
// vector<T>
template <typename T>
istream &operator>>(istream &is, vector<T> &A) {
for (auto &a : A) is >> a;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << ' ';
}
return os;
}
// vector<vector<T>>
template <typename T>
istream &operator>>(istream &is, vector<vector<T>> &A) {
for (auto &a : A) is >> a;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<vector<T>> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << endl;
}
return os;
}
// pair<S, T>
template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &A) {
is >> A.first >> A.second;
return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, pair<S, T> &A) {
os << A.first << ' ' << A.second;
return os;
}
// vector<pair<S, T>>
template <typename S, typename T>
istream &operator>>(istream &is, vector<pair<S, T>> &A) {
for (size_t i = 0; i < A.size(); i++) {
is >> A[i];
}
return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, vector<pair<S, T>> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << endl;
}
return os;
}
// tuple
template <typename T, size_t N>
struct TuplePrint {
static ostream &print(ostream &os, const T &t) {
TuplePrint<T, N - 1>::print(os, t);
os << ' ' << get<N - 1>(t);
return os;
}
};
template <typename T>
struct TuplePrint<T, 1> {
static ostream &print(ostream &os, const T &t) {
os << get<0>(t);
return os;
}
};
template <typename... Args>
ostream &operator<<(ostream &os, const tuple<Args...> &t) {
TuplePrint<decltype(t), sizeof...(Args)>::print(os, t);
return os;
}
// io functions
void FLUSH() {
cout << flush;
}
void print() {
cout << endl;
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
cout << head;
if (sizeof...(Tail)) cout << spa;
print(std::forward<Tail>(tail)...);
}
template <typename T, typename S>
void prisep(vector<T> &A, S sep) {
int n = A.size();
for (int i = 0; i < n; i++) {
cout << A[i];
if (i != n - 1) cout << sep;
}
cout << endl;
}
template <typename T, typename S>
void priend(T A, S end) {
cout << A << end;
}
template <typename T>
void prispa(T A) {
priend(A, spa);
}
template <typename T, typename S>
bool printif(bool f, T A, S B) {
if (f)
print(A);
else
print(B);
return f;
}
template <class... T>
void inp(T &...a) {
(cin >> ... >> a);
}
} // namespace io
using namespace io;
// read graph
vector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {
vector<vector<int>> edges(n, vector<int>());
for (int i = 0; i < m; i++) {
INT(u, v);
u -= indexed;
v -= indexed;
edges[u].push_back(v);
if (!direct) edges[v].push_back(u);
}
return edges;
}
vector<vector<int>> read_tree(int n, int indexed = 1) {
return read_edges(n, n - 1, false, indexed);
}
template <typename T = long long>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {
vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
for (int i = 0; i < m; i++) {
INT(u, v);
T w;
inp(w);
u -= indexed;
v -= indexed;
edges[u].push_back({v, w});
if (!direct) edges[v].push_back({u, w});
}
return edges;
}
template <typename T = long long>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
return read_wedges<T>(n, n - 1, false, indexed);
}
// yes / no
namespace yesno {
// yes
inline bool yes(bool f = true) {
cout << (f ? "yes" : "no") << endl;
return f;
}
inline bool Yes(bool f = true) {
cout << (f ? "Yes" : "No") << endl;
return f;
}
inline bool YES(bool f = true) {
cout << (f ? "YES" : "NO") << endl;
return f;
}
// no
inline bool no(bool f = true) {
cout << (!f ? "yes" : "no") << endl;
return f;
}
inline bool No(bool f = true) {
cout << (!f ? "Yes" : "No") << endl;
return f;
}
inline bool NO(bool f = true) {
cout << (!f ? "YES" : "NO") << endl;
return f;
}
// possible
inline bool possible(bool f = true) {
cout << (f ? "possible" : "impossible") << endl;
return f;
}
inline bool Possible(bool f = true) {
cout << (f ? "Possible" : "Impossible") << endl;
return f;
}
inline bool POSSIBLE(bool f = true) {
cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
return f;
}
// impossible
inline bool impossible(bool f = true) {
cout << (!f ? "possible" : "impossible") << endl;
return f;
}
inline bool Impossible(bool f = true) {
cout << (!f ? "Possible" : "Impossible") << endl;
return f;
}
inline bool IMPOSSIBLE(bool f = true) {
cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
return f;
}
// Alice Bob
inline bool Alice(bool f = true) {
cout << (f ? "Alice" : "Bob") << endl;
return f;
}
inline bool Bob(bool f = true) {
cout << (f ? "Bob" : "Alice") << endl;
return f;
}
// Takahashi Aoki
inline bool Takahashi(bool f = true) {
cout << (f ? "Takahashi" : "Aoki") << endl;
return f;
}
inline bool Aoki(bool f = true) {
cout << (f ? "Aoki" : "Takahashi") << endl;
return f;
}
} // namespace yesno
using namespace yesno;
} // namespace templates
using namespace templates;
void solve() {
INT(n);
STRING(S);
vec(bool, ok, 1 << n, false);
fori(bit, 1 << n) {
ok[bit] = S[bit] == '1';
}
fori(bit, 1 << n) {
fori(i, n) {
if ((bit >> i) & 1) {
if (ok[bit ^ (1 << i)] and !(ok[bit])) {
No();
return;
}
}
}
}
Yes();
if (!ok.back()) {
print("F");
return;
}
vvec(bool, all_T, n + 1);
vvec(bool, all_F, n + 1);
all_T[n] = ok;
all_F[n] = ok;
fori(i, 1 << n) {
all_F[n][i] = !all_F[n][i];
}
fori(i, n - 1, -1, -1) {
all_T[i].resize(1 << i);
all_F[i].resize(1 << i);
fori(j, 1 << i) {
all_T[i][j] = all_T[i + 1][j] & all_T[i + 1][j + (1 << i)];
all_F[i][j] = all_F[i + 1][j] & all_F[i + 1][j + (1 << i)];
}
}
auto dfs = [&](auto &&self, int i, int bit) -> string {
if (all_T[i][bit]) return "T";
if (all_F[i][bit]) return "F";
string res;
auto l_ = self(self, i + 1, bit | (1 << i));
auto r_ = self(self, i + 1, bit);
if (l_ == "F") {
} else if (l_ == "T") {
res += char('a' + i);
} else {
res += "(";
res += char('a' + i);
res += '&';
res += l_;
res += ")";
}
if (r_ == "F") {
} else if (r_ == "T") {
throw;
} else {
res = "(" + res;
res += "|";
res += r_;
res += ")";
}
return res;
};
auto ans = dfs(dfs, 0, 0);
print(ans);
}
int main() {
#ifndef INTERACTIVE
std::cin.tie(0)->sync_with_stdio(0);
#endif
// std::cout << std::fixed << std::setprecision(12);
int t;
t = 1;
std::cin >> t;
while (t--) solve();
return 0;
}
// // #pragma GCC target("avx2")
// // #pragma GCC optimize("O3")
// // #pragma GCC optimize("unroll-loops")
// // #define INTERACTIVE
//
// #include "kyopro-cpp/template.hpp"
//
// void solve() {
// INT(n);
// STRING(S);
// vec(bool, ok, 1 << n, false);
// fori(bit, 1 << n) {
// ok[bit] = S[bit] == '1';
// }
// fori(bit, 1 << n) {
// fori(i, n) {
// if ((bit >> i) & 1) {
// if (ok[bit ^ (1 << i)] and !(ok[bit])) {
// No();
// return;
// }
// }
// }
// }
//
// Yes();
// if (!ok.back()) {
// print("F");
// return;
// }
//
// vvec(bool, all_T, n + 1);
// vvec(bool, all_F, n + 1);
// all_T[n] = ok;
// all_F[n] = ok;
// fori(i, 1 << n) {
// all_F[n][i] = !all_F[n][i];
// }
// fori(i, n - 1, -1, -1) {
// all_T[i].resize(1 << i);
// all_F[i].resize(1 << i);
// fori(j, 1 << i) {
// all_T[i][j] = all_T[i + 1][j] & all_T[i + 1][j + (1 << i)];
// all_F[i][j] = all_F[i + 1][j] & all_F[i + 1][j + (1 << i)];
// }
// }
//
// auto dfs = [&](auto &&self, int i, int bit) -> string {
// if (all_T[i][bit]) return "T";
// if (all_F[i][bit]) return "F";
// string res;
// auto l_ = self(self, i + 1, bit | (1 << i));
// auto r_ = self(self, i + 1, bit);
// if (l_ == "F") {
// } else if (l_ == "T") {
// res += char('a' + i);
// } else {
// res += "(";
// res += char('a' + i);
// res += '&';
// res += l_;
// res += ")";
// }
// if (r_ == "F") {
// } else if (r_ == "T") {
// throw;
// } else {
// res = "(" + res;
// res += "|";
// res += r_;
// res += ")";
// }
//
// return res;
// };
//
// auto ans = dfs(dfs, 0, 0);
// print(ans);
// }
//
// int main() {
// #ifndef INTERACTIVE
// std::cin.tie(0)->sync_with_stdio(0);
// #endif
// // std::cout << std::fixed << std::setprecision(12);
// int t;
// t = 1;
// std::cin >> t;
// while (t--) solve();
// return 0;
// }
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3712kb
input:
7 2 0001 2 0111 2 1111 3 00010111 1 10 2 0101 5 00000000000000000000000000000001
output:
Yes (a&b) Yes (a|b) Yes T Yes ((a&(b|c))|(b&c)) No Yes a Yes (a&(b&(c&(d&e))))
result:
ok 7 lines, tightest: 4 out of 14 (7 test cases)
Test #2:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
4 1 00 1 10 1 01 1 11
output:
Yes F No Yes a Yes T
result:
ok 4 lines, tightest: 0 out of 11 (4 test cases)
Test #3:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
16 2 0000 2 1000 2 0100 2 1100 2 0010 2 1010 2 0110 2 1110 2 0001 2 1001 2 0101 2 1101 2 0011 2 1011 2 0111 2 1111
output:
Yes F No No No No No No No Yes (a&b) No Yes a No Yes ((a&b)|b) No Yes (a|b) Yes T
result:
ok 16 lines, tightest: 2 out of 12 (16 test cases)
Test #4:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
256 3 00000000 3 10000000 3 01000000 3 11000000 3 00100000 3 10100000 3 01100000 3 11100000 3 00010000 3 10010000 3 01010000 3 11010000 3 00110000 3 10110000 3 01110000 3 11110000 3 00001000 3 10001000 3 01001000 3 11001000 3 00101000 3 10101000 3 01101000 3 11101000 3 00011000 3 10011000 3 01011000...
output:
Yes F No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No ...
result:
ok 256 lines, tightest: 6 out of 14 (256 test cases)
Test #5:
score: 0
Accepted
time: 16ms
memory: 3584kb
input:
65536 4 0000000000000000 4 1000000000000000 4 0100000000000000 4 1100000000000000 4 0010000000000000 4 1010000000000000 4 0110000000000000 4 1110000000000000 4 0001000000000000 4 1001000000000000 4 0101000000000000 4 1101000000000000 4 0011000000000000 4 1011000000000000 4 0111000000000000 4 1111000...
output:
Yes F No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No No ...
result:
ok 65536 lines, tightest: 14 out of 18 (65536 test cases)
Test #6:
score: 0
Accepted
time: 1ms
memory: 3712kb
input:
168 4 0000000000000000 4 0000000000000001 4 0000000000000011 4 0000000000000101 4 0000000000000111 4 0000000000001111 4 0000000000010001 4 0000000000010011 4 0000000000010101 4 0000000000010111 4 0000000000011111 4 0000000000110011 4 0000000000110111 4 0000000000111111 4 0000000001010101 4 000000000...
output:
Yes F Yes (a&(b&(c&d))) Yes ((a&(b&(c&d)))|(b&(c&d))) Yes (a&((b&(c&d))|(c&d))) Yes ((a&((b&(c&d))|(c&d)))|(b&(c&d))) Yes ((a&((b&(c&d))|(c&d)))|((b&(c&d))|(c&d))) Yes (a&(b&((c&d)|d))) Yes ((a&(b&((c&d)|d)))|(b&(c&d))) Yes (a&((b&((c&d)|d))|(c&d))) Yes ((a&((b&((c&d)|d))|(c&d)))|(b&(c&d))) Yes ((a&...
result:
ok 168 lines, tightest: 14 out of 18 (168 test cases)
Test #7:
score: -100
Wrong Answer
time: 15ms
memory: 3712kb
input:
7581 5 00000000000000000000000000000000 5 00000000000000000000000000000001 5 00000000000000000000000000000011 5 00000000000000000000000000000101 5 00000000000000000000000000000111 5 00000000000000000000000000001111 5 00000000000000000000000000010001 5 00000000000000000000000000010011 5 0000000000000...
output:
Yes F Yes (a&(b&(c&(d&e)))) Yes ((a&(b&(c&(d&e))))|(b&(c&(d&e)))) Yes (a&((b&(c&(d&e)))|(c&(d&e)))) Yes ((a&((b&(c&(d&e)))|(c&(d&e))))|(b&(c&(d&e)))) Yes ((a&((b&(c&(d&e)))|(c&(d&e))))|((b&(c&(d&e)))|(c&(d&e)))) Yes (a&(b&((c&(d&e))|(d&e)))) Yes ((a&(b&((c&(d&e))|(d&e))))|(b&(c&(d&e)))) Yes (a&((b&(...
result:
wrong answer 27 operations, you can't use more than 26 operations (test case 134)