# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
941250 | marvinthang | Toxic Gene (NOI23_toxic) | C++17 | 12 ms | 600 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*************************************
* author: marvinthang *
* created: 08.03.2024 10:14:19 *
*************************************/
// https://www.acmicpc.net/problem/28499
#include "toxic.h"
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define left ___left
#define right ___right
#define TIME (1.0 * clock() / CLOCKS_PER_SEC)
#define MASK(i) (1LL << (i))
#define BIT(x, i) ((x) >> (i) & 1)
#define __builtin_popcount __builtin_popcountll
#define ALL(v) (v).begin(), (v).end()
#define REP(i, n) for (int i = 0, _n = (n); i < _n; ++i)
#define REPD(i, n) for (int i = (n); i-- > 0; )
#define FOR(i, a, b) for (int i = (a), _b = (b); i < _b; ++i)
#define FORD(i, b, a) for (int i = (b), _a = (a); --i >= _a; )
#define FORE(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define FORDE(i, b, a) for (int i = (b), _a = (a); i >= _a; --i)
#define scan_op(...) istream & operator >> (istream &in, __VA_ARGS__ &u)
#define print_op(...) ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
#include "debug.h"
#else
#define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
#define DB(...) 23
#define db(...) 23
#define debug(...) 23
#endif
template <class U, class V> scan_op(pair <U, V>) { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>) { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>) { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")"; else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
// end of template
#ifdef LOCAL
int N, num_que;
string S;
vector <bool> used;
int query_sample(vector <int> species) {
if ((int) species.size() > 300) {
cout << "ngu sz = " << species.size() << '\n';
exit(0);
}
++num_que;
bool has_toxic = false;
for (int x: species) {
if (x < 1 || x > N) {
cout << "ngu query " << x << '\n';
exit(0);
}
has_toxic |= S[x - 1] == 'T';
}
if (has_toxic) {
int res = 0;
for (int x: species) res += S[x - 1] == 'S';
return res;
}
return species.size();
}
void answer_type(int x, char c) {
if (x < 1 || x > N) {
cout << "ngu answer " << x << '\n';
exit(0);
}
if (used[x - 1]) {
cout << "ngu answer twice\n";
exit(0);
}
used[x - 1] = true;
if (S[x - 1] != c) {
cout << "ngu res[" << x << "] = " << S[x - 1] << ", yours = " << c << '\n';
exit(0);
}
}
#endif
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
template <class T> T rand(T l, T h) { return uniform_int_distribution <T> (l, h) (rng); }
template <class T> T rand(T h) { return uniform_int_distribution <T> (0, h - 1) (rng); }
void determine_type(int n) {
int toxic = -1;
vector <int> cur(n);
iota(ALL(cur), 1);
shuffle(ALL(cur), rng);
string res(n + 1, '?');
int cnt_toxic = 0;
vector <vector <int>> tox, not_tox;
for (int i = 0; i < n; i += 8) {
vector <int> List;
FOR(j, i, min(n, i + 8)) List.push_back(cur[j]);
vector <int> cur;
REP(i, List.size()) REP(j, MASK(i)) cur.push_back(List[i]);
int mask = query_sample(cur);
if (mask == MASK(List.size()) - 1) {
not_tox.push_back(List);
} else {
tox.push_back({});
REP(i, List.size()) {
if (BIT(mask, i)) res[List[i]] = 'S';
else tox.back().push_back(List[i]);
}
}
}
auto check_tox = [&] (vector <int> cur) {
if (!not_tox.empty()) {
REP(i, not_tox.back().size()) REP(j, MASK(i)) cur.push_back(not_tox.back()[i]);
}
int mask = query_sample(cur);
if (mask < (int) cur.size()) {
if (!not_tox.empty()) {
REP(i, not_tox.back().size()) res[not_tox.back()[i]] = "RS"[BIT(mask, i)];
not_tox.pop_back();
}
return true;
}
return false;
};
vector <int> new_tox;
auto solve = [&] (vector <int> &List, bool ck) {
if (ck) {
if (!check_tox(List)) {
for (int x: List) res[x] = 'R';
return;
}
}
int l = 0, r = (int) List.size() - 2;
while (l <= r) {
int m = l + r >> 1;
vector <int> cur(List.begin(), List.begin() + m + 1);
if (check_tox(cur)) r = m - 1;
else l = m + 1;
}
REP(i, l) res[List[i]] = 'R';
res[List[l]] = 'T';
toxic = List[l];
new_tox.insert(new_tox.end(), l + 1 + ALL(List));
++cnt_toxic;
};
for (auto List: tox) solve(List, false);
while (!new_tox.empty() && cnt_toxic < 30) {
vector <int> List;
while ((int) List.size() < 8 && !new_tox.empty()) {
List.push_back(new_tox.back());
new_tox.pop_back();
}
solve(List, true);
}
for (int x: new_tox) res[x] = 'R';
for (auto List: not_tox) {
vector <int> cur{toxic};
REP(i, List.size()) REP(j, MASK(i)) cur.push_back(List[i]);
int mask = query_sample(cur);
REP(i, List.size()) res[List[i]] = "RS"[BIT(mask, i)];
}
FORE(i, 1, n) answer_type(i, res[i]);
}
#ifdef LOCAL
int main(void) {
file("TOXIC");
int t; cin >> t;
int max_que = 0;
while (t--) {
cin >> N >> S;
used.assign(N, false);
num_que = 0;
determine_type(N);
if (accumulate(ALL(used), 0) < N) {
cout << "ngu not enough answer\n";
return 0;
}
max_que = max(max_que, num_que);
}
cout << "max_que = " << max_que << '\n';
return 0;
}
#endif
Compilation message (stderr)
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