結果
| 問題 |
No.1804 Intersection of LIS
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2024-11-30 16:53:18 |
| 言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 114 ms / 2,000 ms |
| コード長 | 23,455 bytes |
| コンパイル時間 | 3,211 ms |
| コンパイル使用メモリ | 256,168 KB |
| 実行使用メモリ | 22,792 KB |
| 最終ジャッジ日時 | 2024-11-30 16:53:26 |
| 合計ジャッジ時間 | 6,789 ms |
|
ジャッジサーバーID (参考情報) |
judge5 / judge3 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 37 |
ソースコード
#line 1 "/home/anqooqie/.proconlib/tools/util.hpp"
// To see the details of my library, visit my GitHub Pages.
// https://anqooqie.github.io/proconlib/
#ifdef LOCAL
#ifndef _GLIBCXX_DEBUG
#define _GLIBCXX_DEBUG
#endif
#else
#ifndef NDEBUG
#define NDEBUG
#endif
#endif
#include <bits/stdc++.h>
#line 1 "/home/anqooqie/.proconlib/tools/resize.hpp"
#line 8 "/home/anqooqie/.proconlib/tools/resize.hpp"
namespace tools {
template <class T, class Allocator, typename Head>
void resize(::std::vector<T, Allocator>& vector, const Head& head) {
vector.resize(head);
}
template <class T, ::std::size_t N, typename Head>
void resize([[maybe_unused]] ::std::array<T, N>& array, [[maybe_unused]] const Head& head) {
assert(array.size() == static_cast<::std::size_t>(head));
}
template <class T, class Allocator, typename Head, typename... Tail>
void resize(::std::vector<T, Allocator>& vector, const Head& head, const Tail&... tail);
template <class T, ::std::size_t N, typename Head, typename... Tail>
void resize(::std::array<T, N>& array, const Head& head, const Tail&... tail);
template <class T, class Allocator, typename Head, typename... Tail>
void resize(::std::vector<T, Allocator>& vector, const Head& head, const Tail&... tail) {
vector.resize(head);
for (auto& child : vector) {
::tools::resize(child, tail...);
}
}
template <class T, ::std::size_t N, typename Head, typename... Tail>
void resize(::std::array<T, N>& array, [[maybe_unused]] const Head& head, const Tail&... tail) {
assert(array.size() == static_cast<::std::size_t>(head));
for (auto& child : array) {
::tools::resize(child, tail...);
}
}
}
#line 1 "/home/anqooqie/.proconlib/tools/fill.hpp"
#include <type_traits>
#line 1 "/home/anqooqie/.proconlib/tools/is_range.hpp"
#line 7 "/home/anqooqie/.proconlib/tools/is_range.hpp"
namespace tools {
template <typename T, typename = ::std::void_t<>>
struct is_range : ::std::false_type {};
template <typename T>
struct is_range<T, ::std::void_t<decltype(::std::begin(::std::declval<T>()), ::std::end(::std::declval<T>()))>> : ::std::true_type {};
template <typename T>
inline constexpr bool is_range_v = ::tools::is_range<T>::value;
}
#line 11 "/home/anqooqie/.proconlib/tools/fill.hpp"
namespace tools {
template <class T, class Allocator, typename V>
::std::enable_if_t<!::tools::is_range_v<T>, void> fill(::std::vector<T, Allocator>& vector, const V& value) {
::std::fill(::std::begin(vector), ::std::end(vector), value);
}
template <class T, ::std::size_t N, typename V>
::std::enable_if_t<!::tools::is_range_v<T>, void> fill(::std::array<T, N>& array, const V& value) {
::std::fill(::std::begin(array), ::std::end(array), value);
}
template <class T, class Allocator, typename V>
::std::enable_if_t<::tools::is_range_v<T>, void> fill(::std::vector<T, Allocator>& vector, const V& value);
template <class T, ::std::size_t N, typename V>
::std::enable_if_t<::tools::is_range_v<T>, void> fill(::std::array<T, N>& array, const V& value);
template <class T, class Allocator, typename V>
::std::enable_if_t<::tools::is_range_v<T>, void> fill(::std::vector<T, Allocator>& vector, const V& value) {
for (auto& child : vector) {
::tools::fill(child, value);
}
}
template <class T, ::std::size_t N, typename V>
::std::enable_if_t<::tools::is_range_v<T>, void> fill(::std::array<T, N>& array, const V& value) {
for (auto& child : array) {
::tools::fill(child, value);
}
}
}
#line 1 "/home/anqooqie/.proconlib/tools/extend_input.hpp"
// WARNING:
// This file adds functions to std namespace for convenience.
// Strictly speaking, it is not allowed in C++.
// It makes the program ill-formed to include this file, and may cause undefined behavior.
#line 1 "/home/anqooqie/.proconlib/tools/has_mod.hpp"
#line 6 "/home/anqooqie/.proconlib/tools/has_mod.hpp"
namespace tools {
template <typename T, typename = ::std::void_t<>>
struct has_mod : ::std::false_type {};
template <typename T>
struct has_mod<T, ::std::void_t<decltype(::std::declval<T>().mod())>> : ::std::true_type {};
template <typename T>
inline constexpr bool has_mod_v = ::tools::has_mod<T>::value;
}
#line 16 "/home/anqooqie/.proconlib/tools/extend_input.hpp"
namespace tools {
namespace detail {
namespace extend_input {
template <typename T>
::std::istream& read(::std::istream& is, T& container) {
for (auto& v : container) {
is >> v;
}
return is;
}
}
}
}
namespace std {
template <class T, ::std::size_t N>
::std::istream& operator>>(::std::istream& is, ::std::array<T, N>& array) {
return ::tools::detail::extend_input::read(is, array);
}
template <class T1, class T2>
::std::istream& operator>>(::std::istream& is, ::std::pair<T1, T2>& pair) {
return is >> pair.first >> pair.second;
}
template <int I = 0, typename... Args>
::std::istream& operator>>(::std::istream& is, ::std::tuple<Args...>& tuple) {
if constexpr (I < int(sizeof...(Args))) {
is >> ::std::get<I>(tuple);
return operator>><I + 1>(is, tuple);
} else {
return is;
}
}
template <class T, class Allocator>
::std::istream& operator>>(::std::istream& is, ::std::vector<T, Allocator>& vector) {
return ::tools::detail::extend_input::read(is, vector);
}
template <typename T>
::std::enable_if_t<::tools::has_mod_v<T>, ::std::istream&> operator>>(::std::istream& is, T& x) {
long long n;
is >> n;
x = T(n);
return is;
}
}
#line 1 "/home/anqooqie/.proconlib/tools/extend_output.hpp"
// WARNING:
// This file adds functions to std namespace for convenience.
// Strictly speaking, it is not allowed in C++.
// It makes the program ill-formed to include this file, and may cause undefined behavior.
#line 12 "/home/anqooqie/.proconlib/tools/extend_output.hpp"
#include <optional>
#line 24 "/home/anqooqie/.proconlib/tools/extend_output.hpp"
namespace tools {
namespace detail {
namespace extend_output {
template <typename T>
::std::ostream& debug_print(::std::ostream& os, const T& container) {
::std::string delimiter = "";
os << '[';
for (const auto& v : container) {
os << delimiter << v;
delimiter = ", ";
}
os << ']';
return os;
}
}
}
}
namespace std {
template <class T, ::std::size_t N>
::std::ostream& operator<<(::std::ostream& os, const ::std::array<T, N>& array) {
return ::tools::detail::extend_output::debug_print(os, array);
}
template <class Key, class T, class Compare, class Allocator>
::std::ostream& operator<<(::std::ostream& os, const ::std::map<Key, T, Compare, Allocator>& map) {
return ::tools::detail::extend_output::debug_print(os, map);
}
template <typename T>
::std::ostream& operator<<(::std::ostream& os, const ::std::optional<T>& optional) {
if (optional) {
return os << *optional;
} else {
return os << "null";
}
}
template <class T1, class T2>
::std::ostream& operator<<(::std::ostream& os, const ::std::pair<T1, T2>& pair) {
return os << '[' << pair.first << ", " << pair.second << ']';
}
template <class T, class Container>
::std::ostream& operator<<(::std::ostream& os, ::std::queue<T, Container>& queue) {
::std::queue<T, Container> other = queue;
::std::string delimiter = "";
os << '[';
while (!queue.empty()) {
os << delimiter << queue.front();
delimiter = ", ";
queue.pop();
}
os << ']';
queue = ::std::move(other);
return os;
}
template <class Key, class Compare, class Allocator>
::std::ostream& operator<<(::std::ostream& os, const ::std::set<Key, Compare, Allocator>& set) {
return ::tools::detail::extend_output::debug_print(os, set);
}
template <class T, class Container>
::std::ostream& operator<<(::std::ostream& os, ::std::stack<T, Container>& stack) {
::std::stack<T, Container> other;
while (!stack.empty()) {
other.push(stack.top());
stack.pop();
}
::std::string delimiter = "";
os << '[';
while (!other.empty()) {
os << delimiter << other.top();
delimiter = ", ";
stack.push(other.top());
other.pop();
}
os << ']';
return os;
}
template <int I = -1, typename... Args>
::std::ostream& operator<<(::std::ostream& os, const ::std::tuple<Args...>& tuple) {
if constexpr (I == -1) {
os << '[';
} else if constexpr (I == int(sizeof...(Args))) {
os << ']';
} else if constexpr (I == 0) {
os << ::std::get<I>(tuple);
} else {
os << ", " << ::std::get<I>(tuple);
}
if constexpr (I < int(sizeof...(Args))) {
return operator<<<I + 1>(os, tuple);
} else {
return os;
}
}
template <class Key, class T, class Hash, class Pred, class Allocator>
::std::ostream& operator<<(::std::ostream& os, const ::std::unordered_map<Key, T, Hash, Pred, Allocator>& unordered_map) {
return ::tools::detail::extend_output::debug_print(os, unordered_map);
}
template <class Key, class Hash, class Pred, class Allocator>
::std::ostream& operator<<(::std::ostream& os, const ::std::unordered_set<Key, Hash, Pred, Allocator>& unordered_set) {
return ::tools::detail::extend_output::debug_print(os, unordered_set);
}
template <class T, class Allocator>
::std::ostream& operator<<(::std::ostream& os, const ::std::vector<T, Allocator>& vector) {
return ::tools::detail::extend_output::debug_print(os, vector);
}
template <typename T>
::std::enable_if_t<::tools::has_mod_v<T>, ::std::ostream&> operator<<(::std::ostream& os, const T& x) {
return os << x.val();
}
}
#line 1 "/home/anqooqie/.proconlib/tools/extend_hash.hpp"
// WARNING:
// This file adds partial specializations for classes in std namespace, for convenience.
// Strictly speaking, it is not allowed in C++.
// It makes the program ill-formed to include this file, and may cause undefined behavior.
#line 1 "/home/anqooqie/.proconlib/tools/tuple_hash.hpp"
#line 1 "/home/anqooqie/.proconlib/tools/now.hpp"
#line 5 "/home/anqooqie/.proconlib/tools/now.hpp"
namespace tools {
inline long long now() {
return ::std::chrono::duration_cast<::std::chrono::nanoseconds>(::std::chrono::high_resolution_clock::now().time_since_epoch()).count();
}
}
#line 1 "/home/anqooqie/.proconlib/tools/hash_combine.hpp"
#line 6 "/home/anqooqie/.proconlib/tools/hash_combine.hpp"
// Source: https://github.com/google/cityhash/blob/f5dc54147fcce12cefd16548c8e760d68ac04226/src/city.h
// License: MIT
// Author: Google Inc.
// Copyright (c) 2011 Google, Inc.
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in
// all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
// THE SOFTWARE.
namespace tools {
template <typename T>
void hash_combine(::std::size_t& seed, const T& v) {
static const ::std::hash<T> hasher;
static constexpr ::std::size_t k_mul = 0x9ddfea08eb382d69ULL;
::std::size_t a = (hasher(v) ^ seed) * k_mul;
a ^= (a >> 47);
::std::size_t b = (seed ^ a) * k_mul;
b ^= (b >> 47);
seed = b * k_mul;
}
}
#line 11 "/home/anqooqie/.proconlib/tools/tuple_hash.hpp"
namespace tools {
template <typename... Ts>
struct tuple_hash {
template <::std::size_t I = sizeof...(Ts) - 1>
::std::size_t operator()(const ::std::tuple<Ts...>& key) const {
if constexpr (I == ::std::numeric_limits<::std::size_t>::max()) {
static const ::std::size_t seed = ::tools::now();
return seed;
} else {
::std::size_t seed = this->operator()<I - 1>(key);
::tools::hash_combine(seed, ::std::get<I>(key));
return seed;
}
}
};
}
#line 14 "/home/anqooqie/.proconlib/tools/extend_hash.hpp"
namespace std {
template <class T1, class T2>
struct hash<::std::pair<T1, T2>> {
::std::size_t operator()(const ::std::pair<T1, T2>& key) const {
static const ::tools::tuple_hash<T1, T2> hasher;
return hasher(::std::make_tuple(key.first, key.second));
}
};
template <class... Args>
struct hash<::std::tuple<Args...>> {
::std::size_t operator()(const ::std::tuple<Args...>& key) const {
static const ::tools::tuple_hash<Args...> hasher;
return hasher(key);
}
};
}
#line 23 "/home/anqooqie/.proconlib/tools/util.hpp"
using ll = long long;
using ull = unsigned long long;
using i32 = ::std::int32_t;
using u32 = ::std::uint32_t;
using i64 = ::std::int64_t;
using u64 = ::std::uint64_t;
#define ALL(x) ::std::begin(x), ::std::end(x)
#define REP(i, n) for (long long i = 0, i##_len = static_cast<long long>(n); i < i##_len; ++i)
#line 1 "/home/anqooqie/.proconlib/lib/ac-library/atcoder/segtree.hpp"
#line 8 "/home/anqooqie/.proconlib/lib/ac-library/atcoder/segtree.hpp"
#line 1 "/home/anqooqie/.proconlib/lib/ac-library/atcoder/internal_bit.hpp"
#ifdef _MSC_VER
#include <intrin.h>
#endif
#if __cplusplus >= 202002L
#include <bit>
#endif
namespace atcoder {
namespace internal {
#if __cplusplus >= 202002L
using std::bit_ceil;
#else
// @return same with std::bit::bit_ceil
unsigned int bit_ceil(unsigned int n) {
unsigned int x = 1;
while (x < (unsigned int)(n)) x *= 2;
return x;
}
#endif
// @param n `1 <= n`
// @return same with std::bit::countr_zero
int countr_zero(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
// @param n `1 <= n`
// @return same with std::bit::countr_zero
constexpr int countr_zero_constexpr(unsigned int n) {
int x = 0;
while (!(n & (1 << x))) x++;
return x;
}
} // namespace internal
} // namespace atcoder
#line 10 "/home/anqooqie/.proconlib/lib/ac-library/atcoder/segtree.hpp"
namespace atcoder {
#if __cplusplus >= 201703L
template <class S, auto op, auto e> struct segtree {
static_assert(std::is_convertible_v<decltype(op), std::function<S(S, S)>>,
"op must work as S(S, S)");
static_assert(std::is_convertible_v<decltype(e), std::function<S()>>,
"e must work as S()");
#else
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
#endif
public:
segtree() : segtree(0) {}
explicit segtree(int n) : segtree(std::vector<S>(n, e())) {}
explicit segtree(const std::vector<S>& v) : _n(int(v.size())) {
size = (int)internal::bit_ceil((unsigned int)(_n));
log = internal::countr_zero((unsigned int)size);
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++) d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++) update(p >> i);
}
S get(int p) const {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) const {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1) sml = op(sml, d[l++]);
if (r & 1) smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() const { return d[1]; }
template <bool (*f)(S)> int max_right(int l) const {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) const {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n) return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0) l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) const {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) const {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0) return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2)) r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#line 1 "/home/anqooqie/.proconlib/tools/monoid.hpp"
#line 1 "/home/anqooqie/.proconlib/tools/gcd.hpp"
#line 6 "/home/anqooqie/.proconlib/tools/gcd.hpp"
namespace tools {
template <typename M, typename N>
constexpr ::std::common_type_t<M, N> gcd(const M m, const N n) {
return ::std::gcd(m, n);
}
}
#line 9 "/home/anqooqie/.proconlib/tools/monoid.hpp"
namespace tools {
namespace monoid {
template <typename M, M ...dummy>
struct max;
template <typename M>
struct max<M> {
static_assert(::std::is_arithmetic_v<M>, "M must be a built-in arithmetic type.");
using T = M;
static T op(const T lhs, const T rhs) {
return ::std::max(lhs, rhs);
}
static T e() {
if constexpr (::std::is_integral_v<M>) {
return ::std::numeric_limits<M>::min();
} else {
return -::std::numeric_limits<M>::infinity();
}
}
};
template <typename M, M E>
struct max<M, E> {
static_assert(::std::is_integral_v<M>, "M must be a built-in integral type.");
using T = M;
static T op(const T lhs, const T rhs) {
assert(E <= lhs);
assert(E <= rhs);
return ::std::max(lhs, rhs);
}
static T e() {
return E;
}
};
template <typename M, M ...dummy>
struct min;
template <typename M>
struct min<M> {
static_assert(::std::is_arithmetic_v<M>, "M must be a built-in arithmetic type.");
using T = M;
static T op(const T lhs, const T rhs) {
return ::std::min(lhs, rhs);
}
static T e() {
if constexpr (::std::is_integral_v<M>) {
return ::std::numeric_limits<M>::max();
} else {
return ::std::numeric_limits<M>::infinity();
}
}
};
template <typename M, M E>
struct min<M, E> {
static_assert(::std::is_integral_v<M>, "M must be a built-in integral type.");
using T = M;
static T op(const T lhs, const T rhs) {
assert(lhs <= E);
assert(rhs <= E);
return ::std::min(lhs, rhs);
}
static T e() {
return E;
}
};
template <typename M>
struct multiplies {
private:
using VR = ::std::conditional_t<::std::is_arithmetic_v<M>, const M, const M&>;
public:
using T = M;
static T op(VR lhs, VR rhs) {
return lhs * rhs;
}
static T e() {
return T(1);
}
};
template <>
struct multiplies<bool> {
using T = bool;
static T op(const bool lhs, const bool rhs) {
return lhs && rhs;
}
static T e() {
return true;
}
};
template <typename M>
struct gcd {
private:
static_assert(!::std::is_arithmetic_v<M> || (::std::is_integral_v<M> && !::std::is_same_v<M, bool>), "If M is a built-in arithmetic type, it must be integral except for bool.");
using VR = ::std::conditional_t<::std::is_arithmetic_v<M>, const M, const M&>;
public:
using T = M;
static T op(VR lhs, VR rhs) {
return ::tools::gcd(lhs, rhs);
}
static T e() {
return T(0);
}
};
template <typename M, M E>
struct update {
static_assert(::std::is_integral_v<M>, "M must be a built-in integral type.");
using T = M;
static T op(const T lhs, const T rhs) {
return lhs == E ? rhs : lhs;
}
static T e() {
return E;
}
};
}
}
#line 1 "/home/anqooqie/.proconlib/tools/join.hpp"
#line 7 "/home/anqooqie/.proconlib/tools/join.hpp"
namespace tools {
template <typename Iterator>
::std::string join(const Iterator begin, const Iterator end, const ::std::string& delimiter) {
::std::ostringstream ss;
if (begin != end) {
ss << *begin;
for (auto it = ::std::next(begin); it != end; ++it) {
ss << delimiter << *it;
}
}
return ss.str();
}
template <typename Iterator, typename F>
::std::string join(const Iterator begin, const Iterator end, const F& mapper, const ::std::string& delimiter) {
::std::ostringstream ss;
if (begin != end) {
ss << mapper(*begin);
for (auto it = ::std::next(begin); it != end; ++it) {
ss << delimiter << mapper(*it);
}
}
return ss.str();
}
}
#line 5 "main.cpp"
int main() {
std::cin.tie(nullptr);
std::ios_base::sync_with_stdio(false);
ll N;
std::cin >> N;
std::vector<ll> P(N);
std::cin >> P;
for (auto&& P_i : P) --P_i;
atcoder::segtree<ll, tools::monoid::max<ll, 0>::op, tools::monoid::max<ll, 0>::e> segtree(N);
REP(i, N) {
segtree.set(P[i], segtree.prod(0, P[i]) + 1);
}
std::vector<ll> lis(segtree.all_prod(), -1);
std::vector<bool> required(segtree.all_prod(), true);
for (ll i = N - 1; i >= 0; --i) {
if (const auto k = segtree.get(P[i]); k == segtree.all_prod() || (lis[k] >= 0 && P[i] < P[lis[k]])) {
if (lis[k - 1] >= 0) required[k - 1] = false;
lis[k - 1] = i;
}
}
std::vector<ll> answers;
REP(k, segtree.all_prod()) {
if (required[k]) {
answers.push_back(P[lis[k]]);
}
}
std::cout << answers.size() << '\n';
std::cout << tools::join(ALL(answers), [](const auto P_i) { return P_i + 1; }, " ") << '\n';
return 0;
}