結果
| 問題 |
No.649 ここでちょっとQK！
|
| コンテスト | |
| ユーザー |
 kuhaku
|
| 提出日時 | 2025-05-30 03:05:53 |
| 言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 210 ms / 3,000 ms |
| コード長 | 6,307 bytes |
| コンパイル時間 | 4,278 ms |
| コンパイル使用メモリ | 305,924 KB |
| 実行使用メモリ | 102,880 KB |
| 最終ジャッジ日時 | 2025-05-30 03:06:04 |
| 合計ジャッジ時間 | 9,956 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge3 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 4 |
| other | AC * 32 |
ソースコード
// competitive-verifier: PROBLEM
#include <array>
#include <cassert>
#include <concepts>
#include <vector>
/// @brief 2分トライ木
/// @see https://kazuma8128.hatenablog.com/entry/2018/05/06/022654
template <std::integral T, int B = 31, bool Multi = false>
struct binary_trie {
private:
struct node_t {
int count;
std::array<int, 2> ch;
node_t() : count(), ch{-1, -1} {}
};
public:
constexpr binary_trie() : nodes(1) {}
T operator[](int k) const {
assert(0 <= k && k < size());
T res{};
int idx = 0;
for (int b = B - 1; b >= 0; --b) {
int m = nodes[idx].ch[0] != -1 ? nodes[nodes[idx].ch[0]].count : 0;
if (k < m) {
idx = nodes[idx].ch[0];
} else {
k -= m;
res += T(1) << b;
idx = nodes[idx].ch[1];
}
}
return res;
}
T at(int k) const { return operator[](k); }
T get(int k) const { return operator[](k); }
T kth_element(int k) const { return operator[](k); }
constexpr bool empty() const { return nodes.front().count == 0; }
constexpr int size() const { return nodes.front().count; }
void insert(T val) {
if constexpr (!Multi) {
if (count(val)) return;
}
++nodes[0].count;
int idx = 0;
for (int b = B - 1; b >= 0; --b) {
bool f = val >> b & 1;
if (nodes[idx].ch[f] == -1) {
nodes[idx].ch[f] = nodes.size();
nodes.emplace_back();
}
idx = nodes[idx].ch[f];
++nodes[idx].count;
}
}
void erase(T val) {
if (!count(val)) return;
--nodes[0].count;
int idx = 0;
for (int b = B - 1; b >= 0; --b) {
bool f = val >> b & 1;
idx = nodes[idx].ch[f];
--nodes[idx].count;
}
}
T min_element(T bias = 0) const {
assert(!empty());
T res{};
int idx = 0;
for (int b = B - 1; b >= 0; --b) {
bool f = bias >> b & 1;
f ^= nodes[idx].ch[f] == -1 || nodes[nodes[idx].ch[f]].count == 0;
res += T(f) << b;
idx = nodes[idx].ch[f];
}
return res;
}
T max_element(T bias = 0) const { return min_element(~bias); }
int count_less(T val) const {
int res = 0, idx = 0;
for (int b = B - 1; b >= 0; --b) {
bool f = val >> b & 1;
if (f && nodes[idx].ch[0] != -1) res += nodes[nodes[idx].ch[0]].count;
idx = nodes[idx].ch[val >> b & 1];
if (idx == -1) break;
}
return res;
}
int count(T val) const {
int idx = 0;
for (int b = B - 1; b >= 0; --b) {
idx = nodes[idx].ch[val >> b & 1];
if (idx == -1) return 0;
}
return nodes[idx].count;
}
int count(T l, T r) const { return count_less(r) - count_less(l); }
private:
std::vector<node_t> nodes;
};
#ifdef ATCODER
#pragma GCC target("sse4.2,avx512f,avx512dq,avx512ifma,avx512cd,avx512bw,avx512vl,bmi2")
#endif
#pragma GCC optimize("Ofast,fast-math,unroll-all-loops")
#include <bits/stdc++.h>
#ifndef ATCODER
#pragma GCC target("sse4.2,avx2,bmi2")
#endif
template <class T, class U>
constexpr bool chmax(T &a, const U &b) {
return a < (T)b ? a = (T)b, true : false;
}
template <class T, class U>
constexpr bool chmin(T &a, const U &b) {
return (T)b < a ? a = (T)b, true : false;
}
constexpr std::int64_t INF = 1000000000000000003;
constexpr int Inf = 1000000003;
constexpr double EPS = 1e-7;
constexpr double PI = 3.14159265358979323846;
#define FOR(i, m, n) for (int i = (m); i < int(n); ++i)
#define FORR(i, m, n) for (int i = (m)-1; i >= int(n); --i)
#define FORL(i, m, n) for (int64_t i = (m); i < int64_t(n); ++i)
#define rep(i, n) FOR (i, 0, n)
#define repn(i, n) FOR (i, 1, n + 1)
#define repr(i, n) FORR (i, n, 0)
#define repnr(i, n) FORR (i, n + 1, 1)
#define all(s) (s).begin(), (s).end()
struct Sonic {
Sonic() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
std::cout << std::fixed << std::setprecision(20);
}
constexpr void operator()() const {}
} sonic;
using namespace std;
using ll = std::int64_t;
using ld = long double;
template <class T, class U>
std::istream &operator>>(std::istream &is, std::pair<T, U> &p) {
return is >> p.first >> p.second;
}
template <class T>
std::istream &operator>>(std::istream &is, std::vector<T> &v) {
for (T &i : v) is >> i;
return is;
}
template <class T, class U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &p) {
return os << '(' << p.first << ',' << p.second << ')';
}
template <class T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &v) {
for (auto it = v.begin(); it != v.end(); ++it) os << (it == v.begin() ? "" : " ") << *it;
return os;
}
template <class Head, class... Tail>
void co(Head &&head, Tail &&...tail) {
if constexpr (sizeof...(tail) == 0) std::cout << head << '\n';
else std::cout << head << ' ', co(std::forward<Tail>(tail)...);
}
template <class Head, class... Tail>
void ce(Head &&head, Tail &&...tail) {
if constexpr (sizeof...(tail) == 0) std::cerr << head << '\n';
else std::cerr << head << ' ', ce(std::forward<Tail>(tail)...);
}
void Yes(bool is_correct = true) { std::cout << (is_correct ? "Yes\n" : "No\n"); }
void No(bool is_not_correct = true) { Yes(!is_not_correct); }
void YES(bool is_correct = true) { std::cout << (is_correct ? "YES\n" : "NO\n"); }
void NO(bool is_not_correct = true) { YES(!is_not_correct); }
void Takahashi(bool is_correct = true) { std::cout << (is_correct ? "Takahashi" : "Aoki") << '\n'; }
void Aoki(bool is_not_correct = true) { Takahashi(!is_not_correct); }
int main(void) {
int q, k;
cin >> q >> k;
binary_trie<ll, 60, true> bt;
while (q--) {
int t;
cin >> t;
if (t == 1) {
ll x;
cin >> x;
bt.insert(x);
} else {
if (bt.size() < k) {
co(-1);
} else {
auto x = bt.at(k - 1);
co(x);
bt.erase(x);
}
}
}
return 0;
}