結果
| 問題 |
No.1082 XORのXOR
|
| ユーザー |
 kuhaku
|
| 提出日時 | 2025-05-07 18:54:28 |
| 言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 4 ms / 2,000 ms |
| コード長 | 8,772 bytes |
| コンパイル時間 | 3,703 ms |
| コンパイル使用メモリ | 309,348 KB |
| 実行使用メモリ | 7,844 KB |
| 最終ジャッジ日時 | 2025-05-07 18:54:34 |
| 合計ジャッジ時間 | 5,244 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge2 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 29 |
ソースコード
// competitive-verifier: PROBLEM
#include <cassert>
/**
* @brief 2分トライ木
* @see https://kazuma8128.hatenablog.com/entry/2018/05/06/022654
*
* @tparam T 要素の型
* @tparam B ビットサイズ
*/
template <class T, int B = 31>
struct binary_trie {
private:
struct _node {
using pointer = _node *;
int count;
pointer ch[2];
_node() : count(), ch{nullptr, nullptr} {}
};
public:
using node_ptr = typename _node::pointer;
constexpr binary_trie() : root(nullptr) {}
T operator[](int k) const {
assert(0 <= k && k < size());
return get(root, k);
}
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 !root; }
constexpr int size() const { return empty() ? 0 : root->count; }
void insert(T val) {
if (!count(val)) root = insert(root, val);
}
void erase(T val) {
if (count(val)) root = erase(root, val);
}
T max_element(T bias = 0) const { return get_min(root, ~bias); }
T min_element(T bias = 0) const { return get_min(root, bias); }
int lower_bound(T val) const { return count_lower(root, val); }
int upper_bound(T val) const { return count_lower(root, val + 1); }
int count(T val) const {
if (!root) return 0;
node_ptr node = root;
for (int i = B - 1; i >= 0; i--) {
node = node->ch[val >> i & 1];
if (!node) return 0;
}
return node->count;
}
private:
node_ptr root;
node_ptr insert(node_ptr node, T val, int b = B - 1) {
if (!node) node = new _node();
++node->count;
if (b < 0) return node;
bool f = val >> b & 1;
node->ch[f] = insert(node->ch[f], val, b - 1);
return node;
}
node_ptr erase(node_ptr node, T val, int b = B - 1) {
assert(node);
--node->count;
if (!node->count) return nullptr;
if (b < 0) return node;
bool f = val >> b & 1;
node->ch[f] = erase(node->ch[f], val, b - 1);
return node;
}
T get_min(node_ptr node, T val, int b = B - 1) const {
assert(node);
if (b < 0) return 0;
bool f = val >> b & 1;
f ^= !node->ch[f];
return get_min(node->ch[f], val, b - 1) | ((T)f << b);
}
T get(node_ptr node, int k, int b = B - 1) const {
if (b < 0) return 0;
int m = node->ch[0] ? node->ch[0]->count : 0;
return k < m ? get(node->ch[0], k, b - 1) : get(node->ch[1], k - m, b - 1) | ((T)1 << b);
}
int count_lower(node_ptr node, T val, int b = B - 1) const {
if (!node || b < 0) return 0;
bool f = val >> b & 1;
return (f && node->ch[0] ? node->ch[0]->count : 0) + count_lower(node->ch[f], val, b - 1);
}
};
/**
* @brief 多重2分トライ木
* @see https://kazuma8128.hatenablog.com/entry/2018/05/06/022654
*
* @tparam T 要素の型
* @tparam B ビットサイズ
*/
template <class T, int B = 31>
struct multi_binary_trie {
private:
struct _node {
using pointer = _node *;
int count;
pointer ch[2];
_node() : count(), ch{nullptr, nullptr} {}
};
public:
using node_ptr = typename _node::pointer;
multi_binary_trie() : root(nullptr) {}
T operator[](int k) const {
assert(0 <= k && k < size());
return get(root, k);
}
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 int size() const { return root ? root->count : 0; }
constexpr bool empty() const { return !root; }
void insert(T val) { root = insert(root, val); }
void erase(T val) {
if (count(val)) root = erase(root, val);
}
T max_element(T bias = 0) const { return get_min(root, ~bias); }
T min_element(T bias = 0) const { return get_min(root, bias); }
int lower_bound(T val) { return count_lower(root, val); }
int upper_bound(T val) { return count_lower(root, val + 1); }
int count(T val) const {
if (!root) return 0;
node_ptr node = root;
for (int i = B - 1; i >= 0; i--) {
node = node->ch[val >> i & 1];
if (!node) return 0;
}
return node->count;
}
private:
node_ptr root;
node_ptr insert(node_ptr node, T val, int b = B - 1) {
if (!node) node = new _node();
++node->count;
if (b < 0) return node;
bool f = val >> b & 1;
node->ch[f] = insert(node->ch[f], val, b - 1);
return node;
}
node_ptr erase(node_ptr node, T val, int b = B - 1) {
assert(node);
--node->count;
if (!node->count) return nullptr;
if (b < 0) return node;
bool f = val >> b & 1;
node->ch[f] = erase(node->ch[f], val, b - 1);
return node;
}
T get_min(node_ptr node, T val, int b = B - 1) const {
assert(node);
if (b < 0) return 0;
bool f = val >> b & 1;
f ^= !node->ch[f];
return get_min(node->ch[f], val, b - 1) | ((T)f << b);
}
T get(node_ptr node, int k, int b = B - 1) const {
if (b < 0) return 0;
int m = node->ch[0] ? node->ch[0]->count : 0;
return k < m ? get(node->ch[0], k, b - 1) : get(node->ch[1], k - m, b - 1) | ((T)1 << b);
}
int count_lower(node_ptr node, T val, int b = B - 1) {
if (!node || b < 0) return 0;
bool f = val >> b & 1;
return (f && node->ch[0] ? node->ch[0]->count : 0) + count_lower(node->ch[f], val, b - 1);
}
};
#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 n;
cin >> n;
vector<int> a(n);
cin >> a;
binary_trie<int> bt;
rep (i, n) bt.insert(a[i]);
int ans = 0;
rep (i, n) {
chmax(ans, bt.max_element(a[i]) ^ a[i]);
}
co(ans);
return 0;
}