結果
問題 | No.2346 Replace!! |
ユーザー | shiomusubi496 |
提出日時 | 2023-06-09 16:23:03 |
言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 8 ms / 2,000 ms |
コード長 | 41,816 bytes |
コンパイル時間 | 3,859 ms |
コンパイル使用メモリ | 281,120 KB |
実行使用メモリ | 5,376 KB |
最終ジャッジ日時 | 2024-06-10 10:06:40 |
合計ジャッジ時間 | 5,188 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge3 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 2 ms
5,248 KB |
testcase_01 | AC | 8 ms
5,376 KB |
testcase_02 | AC | 2 ms
5,376 KB |
testcase_03 | AC | 4 ms
5,376 KB |
testcase_04 | AC | 4 ms
5,376 KB |
testcase_05 | AC | 4 ms
5,376 KB |
testcase_06 | AC | 3 ms
5,376 KB |
testcase_07 | AC | 4 ms
5,376 KB |
testcase_08 | AC | 4 ms
5,376 KB |
testcase_09 | AC | 4 ms
5,376 KB |
testcase_10 | AC | 4 ms
5,376 KB |
testcase_11 | AC | 4 ms
5,376 KB |
testcase_12 | AC | 4 ms
5,376 KB |
testcase_13 | AC | 4 ms
5,376 KB |
testcase_14 | AC | 4 ms
5,376 KB |
testcase_15 | AC | 5 ms
5,376 KB |
testcase_16 | AC | 4 ms
5,376 KB |
testcase_17 | AC | 4 ms
5,376 KB |
testcase_18 | AC | 4 ms
5,376 KB |
testcase_19 | AC | 5 ms
5,376 KB |
testcase_20 | AC | 4 ms
5,376 KB |
testcase_21 | AC | 5 ms
5,376 KB |
testcase_22 | AC | 5 ms
5,376 KB |
testcase_23 | AC | 4 ms
5,376 KB |
testcase_24 | AC | 4 ms
5,376 KB |
testcase_25 | AC | 4 ms
5,376 KB |
testcase_26 | AC | 4 ms
5,376 KB |
testcase_27 | AC | 4 ms
5,376 KB |
testcase_28 | AC | 2 ms
5,376 KB |
testcase_29 | AC | 2 ms
5,376 KB |
testcase_30 | AC | 2 ms
5,376 KB |
testcase_31 | AC | 4 ms
5,376 KB |
testcase_32 | AC | 4 ms
5,376 KB |
testcase_33 | AC | 4 ms
5,376 KB |
testcase_34 | AC | 5 ms
5,376 KB |
testcase_35 | AC | 4 ms
5,376 KB |
testcase_36 | AC | 4 ms
5,376 KB |
testcase_37 | AC | 4 ms
5,376 KB |
testcase_38 | AC | 4 ms
5,376 KB |
testcase_39 | AC | 4 ms
5,376 KB |
testcase_40 | AC | 5 ms
5,376 KB |
testcase_41 | AC | 4 ms
5,376 KB |
testcase_42 | AC | 4 ms
5,376 KB |
testcase_43 | AC | 4 ms
5,376 KB |
testcase_44 | AC | 4 ms
5,376 KB |
testcase_45 | AC | 4 ms
5,376 KB |
testcase_46 | AC | 4 ms
5,376 KB |
testcase_47 | AC | 4 ms
5,376 KB |
testcase_48 | AC | 3 ms
5,376 KB |
testcase_49 | AC | 4 ms
5,376 KB |
testcase_50 | AC | 4 ms
5,376 KB |
testcase_51 | AC | 4 ms
5,376 KB |
testcase_52 | AC | 3 ms
5,376 KB |
testcase_53 | AC | 3 ms
5,376 KB |
testcase_54 | AC | 5 ms
5,376 KB |
testcase_55 | AC | 6 ms
5,376 KB |
testcase_56 | AC | 6 ms
5,376 KB |
testcase_57 | AC | 4 ms
5,376 KB |
testcase_58 | AC | 6 ms
5,376 KB |
testcase_59 | AC | 5 ms
5,376 KB |
testcase_60 | AC | 5 ms
5,376 KB |
testcase_61 | AC | 5 ms
5,376 KB |
testcase_62 | AC | 5 ms
5,376 KB |
testcase_63 | AC | 5 ms
5,376 KB |
testcase_64 | AC | 5 ms
5,376 KB |
testcase_65 | AC | 5 ms
5,376 KB |
testcase_66 | AC | 5 ms
5,376 KB |
testcase_67 | AC | 5 ms
5,376 KB |
testcase_68 | AC | 5 ms
5,376 KB |
testcase_69 | AC | 7 ms
5,376 KB |
testcase_70 | AC | 6 ms
5,376 KB |
testcase_71 | AC | 7 ms
5,376 KB |
testcase_72 | AC | 6 ms
5,376 KB |
testcase_73 | AC | 5 ms
5,376 KB |
ソースコード
#line 2 "library/other/template.hpp" #include <bits/stdc++.h> #line 2 "library/template/macros.hpp" #line 4 "library/template/macros.hpp" #ifndef __COUNTER__ #define __COUNTER__ __LINE__ #endif #define REP_SELECTER(a, b, c, d, e, ...) e #define REP1_0(b, c) REP1_1(b, c) #define REP1_1(b, c) \ for (ll REP_COUNTER_##c = 0; REP_COUNTER_##c < (ll)(b); ++REP_COUNTER_##c) #define REP1(b) REP1_0(b, __COUNTER__) #define REP2(i, b) for (ll i = 0; i < (ll)(b); ++i) #define REP3(i, a, b) for (ll i = (ll)(a); i < (ll)(b); ++i) #define REP4(i, a, b, c) for (ll i = (ll)(a); i < (ll)(b); i += (ll)(c)) #define rep(...) REP_SELECTER(__VA_ARGS__, REP4, REP3, REP2, REP1)(__VA_ARGS__) #define RREP2(i, a) for (ll i = (ll)(a)-1; i >= 0; --i) #define RREP3(i, a, b) for (ll i = (ll)(a)-1; i >= (ll)(b); --i) #define RREP4(i, a, b, c) for (ll i = (ll)(a)-1; i >= (ll)(b); i -= (ll)(c)) #define rrep(...) REP_SELECTER(__VA_ARGS__, RREP4, RREP3, RREP2)(__VA_ARGS__) #define REPS2(i, b) for (ll i = 1; i <= (ll)(b); ++i) #define REPS3(i, a, b) for (ll i = (ll)(a) + 1; i <= (ll)(b); ++i) #define REPS4(i, a, b, c) for (ll i = (ll)(a) + 1; i <= (ll)(b); i += (ll)(c)) #define reps(...) REP_SELECTER(__VA_ARGS__, REPS4, REPS3, REPS2)(__VA_ARGS__) #define RREPS2(i, a) for (ll i = (ll)(a); i > 0; --i) #define RREPS3(i, a, b) for (ll i = (ll)(a); i > (ll)(b); --i) #define RREPS4(i, a, b, c) for (ll i = (ll)(a); i > (ll)(b); i -= (ll)(c)) #define rreps(...) \ REP_SELECTER(__VA_ARGS__, RREPS4, RREPS3, RREPS2)(__VA_ARGS__) #define each_for(...) for (auto&& __VA_ARGS__) #define each_const(...) for (const auto& __VA_ARGS__) #define all(v) std::begin(v), std::end(v) #if __cplusplus >= 201402L #define rall(v) std::rbegin(v), std::rend(v) #else #define rall(v) v.rbegin(), v.rend() #endif #if __cpp_constexpr >= 201304L #define CONSTEXPR constexpr #else #define CONSTEXPR #endif #if __cpp_if_constexpr >= 201606L #define IF_CONSTEXPR constexpr #else #define IF_CONSTEXPR #endif #define IO_BUFFER_SIZE 2048 #line 2 "library/template/alias.hpp" #line 4 "library/template/alias.hpp" using ll = long long; using ull = unsigned long long; using ld = long double; using PLL = std::pair<ll, ll>; template<class T> using prique = std::priority_queue<T, std::vector<T>, std::greater<T>>; template<class T> class infinity { public: static constexpr T value = std::numeric_limits<T>::max() / 2; static constexpr T mvalue = std::numeric_limits<T>::min() / 2; static constexpr T max = std::numeric_limits<T>::max(); static constexpr T min = std::numeric_limits<T>::min(); }; #if __cplusplus <= 201402L template<class T> constexpr T infinity<T>::value; template<class T> constexpr T infinity<T>::mvalue; template<class T> constexpr T infinity<T>::max; template<class T> constexpr T infinity<T>::min; #endif #if __cpp_variable_templates >= 201304L template<class T> constexpr T INF = infinity<T>::value; #endif constexpr ll inf = infinity<ll>::value; constexpr ld EPS = 1e-8; constexpr ld PI = 3.1415926535897932384626; #line 2 "library/template/type_traits.hpp" #line 5 "library/template/type_traits.hpp" template<class T, class... Args> struct function_traits_impl { using result_type = T; template<std::size_t idx> using argument_type = typename std::tuple_element<idx, std::tuple<Args...>>::type; using argument_tuple = std::tuple<Args...>; static constexpr std::size_t arg_size() { return sizeof...(Args); } }; template<class> struct function_traits_helper; template<class Res, class Tp, class... Args> struct function_traits_helper<Res (Tp::*)(Args...)> { using type = function_traits_impl<Res, Args...>; }; template<class Res, class Tp, class... Args> struct function_traits_helper<Res (Tp::*)(Args...)&> { using type = function_traits_impl<Res, Args...>; }; template<class Res, class Tp, class... Args> struct function_traits_helper<Res (Tp::*)(Args...) const> { using type = function_traits_impl<Res, Args...>; }; template<class Res, class Tp, class... Args> struct function_traits_helper<Res (Tp::*)(Args...) const&> { using type = function_traits_impl<Res, Args...>; }; #if __cpp_noexcept_function_type >= 201510L template<class Res, class Tp, class... Args> struct function_traits_helper<Res (Tp::*)(Args...) noexcept> { using type = function_traits_impl<Res, Args...>; }; template<class Res, class Tp, class... Args> struct function_traits_helper<Res (Tp::*)(Args...)& noexcept> { using type = function_traits_impl<Res, Args...>; }; template<class Res, class Tp, class... Args> struct function_traits_helper<Res (Tp::*)(Args...) const noexcept> { using type = function_traits_impl<Res, Args...>; }; template<class Res, class Tp, class... Args> struct function_traits_helper<Res (Tp::*)(Args...) const& noexcept> { using type = function_traits_impl<Res, Args...>; }; #endif template<class F> using function_traits = typename function_traits_helper<decltype(&F::operator())>::type; template<class T> using is_signed_int = std::disjunction<std::conjunction<std::is_integral<T>, std::is_signed<T>>, std::is_same<T, __int128_t>>; template<class T> using is_unsigned_int = std::disjunction<std::conjunction<std::is_integral<T>, std::is_unsigned<T>>, std::is_same<T, __uint128_t>>; template<class T> using is_int = std::disjunction<is_signed_int<T>, is_unsigned_int<T>>; template<class T> using make_signed_int = typename std::conditional< std::is_same<T, __int128_t>::value || std::is_same<T, __uint128_t>::value, std::common_type<__int128_t>, std::make_signed<T>>::type; template<class T> using make_unsigned_int = typename std::conditional< std::is_same<T, __int128_t>::value || std::is_same<T, __uint128_t>::value, std::common_type<__uint128_t>, std::make_unsigned<T>>::type; template<class T, class = void> struct is_range : std::false_type {}; template<class T> struct is_range< T, decltype(all(std::declval<typename std::add_lvalue_reference<T>::type>()), (void)0)> : std::true_type {}; template<class T, bool = is_range<T>::value> struct range_rank : std::integral_constant<std::size_t, 0> {}; template<class T> struct range_rank<T, true> : std::integral_constant<std::size_t, range_rank<typename T::value_type>::value + 1> {}; template<std::size_t size> struct int_least { static_assert(size <= 128, "size must be less than or equal to 128"); using type = typename std::conditional< size <= 8, std::int_least8_t, typename std::conditional< size <= 16, std::int_least16_t, typename std::conditional< size <= 32, std::int_least32_t, typename std::conditional<size <= 64, std::int_least64_t, __int128_t>::type>::type>::type>:: type; }; template<std::size_t size> using int_least_t = typename int_least<size>::type; template<std::size_t size> struct uint_least { static_assert(size <= 128, "size must be less than or equal to 128"); using type = typename std::conditional< size <= 8, std::uint_least8_t, typename std::conditional< size <= 16, std::uint_least16_t, typename std::conditional< size <= 32, std::uint_least32_t, typename std::conditional<size <= 64, std::uint_least64_t, __uint128_t>::type>::type>::type>:: type; }; template<std::size_t size> using uint_least_t = typename uint_least<size>::type; template<class T> using double_size_int = int_least<std::numeric_limits<T>::digits * 2 + 1>; template<class T> using double_size_int_t = typename double_size_int<T>::type; template<class T> using double_size_uint = uint_least<std::numeric_limits<T>::digits * 2>; template<class T> using double_size_uint_t = typename double_size_uint<T>::type; template<class T> using double_size = typename std::conditional<is_signed_int<T>::value, double_size_int<T>, double_size_uint<T>>::type; template<class T> using double_size_t = typename double_size<T>::type; #line 2 "library/template/in.hpp" #line 4 "library/template/in.hpp" #include <unistd.h> #line 8 "library/template/in.hpp" template<std::size_t buf_size = IO_BUFFER_SIZE> class Reader { private: int fd, idx, sz; bool state; std::array<char, buf_size> buffer; inline void read_buf() { sz = read(fd, buffer.begin(), buf_size); idx = 0; if (sz < 0) throw std::runtime_error("input failed"); } public: static constexpr int get_buf_size() { return buf_size; } Reader() noexcept : fd(0), idx(0), sz(0), state(true) {} Reader(int fd) noexcept : fd(fd), idx(0), sz(0), state(true) {} Reader(FILE* fp) noexcept : fd(fileno(fp)), idx(0), sz(0), state(true) {} class iterator { private: Reader* reader; public: using difference_type = void; using value_type = void; using pointer = void; using reference = void; using iterator_category = std::input_iterator_tag; iterator() : reader(nullptr) {} explicit iterator(Reader& reader) : reader(&reader) {} explicit iterator(Reader* reader) : reader(reader) {} iterator& operator++() { if (reader->idx == reader->sz) reader->read_buf(); ++reader->idx; return *this; } iterator operator++(int) { iterator res = *this; ++(*this); return res; } char operator*() const { if (reader->idx == reader->sz) reader->read_buf(); if (reader->idx < reader->sz) return reader->buffer[reader->idx]; reader->state = false; return '\0'; } bool rdstate() const { return reader->state; } void setstate(bool state) { reader->state = state; } }; iterator begin() noexcept { return iterator(this); } }; Reader<> reader(0); template<class Iterator, std::size_t decimal_precision = 16> class Scanner { public: using iterator_type = Iterator; private: template<class, class = void> struct has_scan : std::false_type {}; template<class T> struct has_scan< T, decltype(std::declval<T>().scan(std::declval<Scanner&>()), (void)0)> : std::true_type {}; Iterator itr; public: Scanner() = default; Scanner(const Iterator& itr) : itr(itr) {} char scan_char() { char c = *itr; ++itr; return c; } Scanner ignore(int n = 1) { rep (n) ++itr; return *this; } inline void discard_space() { while (('\t' <= *itr && *itr <= '\r') || *itr == ' ') ++itr; } void scan(char& a) { discard_space(); a = *itr; ++itr; } void scan(bool& a) { discard_space(); a = *itr != '0'; ++itr; } void scan(std::string& a) { discard_space(); a.clear(); while ((*itr < '\t' || '\r' < *itr) && *itr != ' ' && *itr != '\0') { a += *itr; ++itr; } } template<std::size_t len> void scan(std::bitset<len>& a) { discard_space(); rrep (i, len) { a[i] = *itr != '0'; ++itr; } } template<class T, typename std::enable_if<is_signed_int<T>::value && !has_scan<T>::value>::type* = nullptr> void scan(T& a) { discard_space(); if (*itr == '-') { ++itr; a = 0; while ('0' <= *itr && *itr <= '9') { a = a * 10 - (*itr - '0'); ++itr; } } else { a = 0; while ('0' <= *itr && *itr <= '9') { a = a * 10 + (*itr - '0'); ++itr; } } } template<class T, typename std::enable_if<is_unsigned_int<T>::value && !has_scan<T>::value>::type* = nullptr> void scan(T& a) { discard_space(); a = 0; while ('0' <= *itr && *itr <= '9') { a = a * 10 + *itr - '0'; ++itr; } } template<class T, typename std::enable_if<std::is_floating_point<T>::value && !has_scan<T>::value>::type* = nullptr> void scan(T& a) { discard_space(); bool sgn = false; if (*itr == '-') { sgn = true; ++itr; } a = 0; while ('0' <= *itr && *itr <= '9') { a = a * 10 + *itr - '0'; ++itr; } if (*itr == '.') { ++itr; T n = 0, d = 1; for (int i = 0; '0' <= *itr && *itr <= '9' && i < (int)decimal_precision; ++i) { n = n * 10 + *itr - '0'; d *= 10; ++itr; } while ('0' <= *itr && *itr <= '9') ++itr; a += n / d; } if (sgn) a = -a; } private: template<std::size_t i, class... Args> void scan(std::tuple<Args...>& a) { if IF_CONSTEXPR (i < sizeof...(Args)) { scan(std::get<i>(a)); scan<i + 1, Args...>(a); } } public: template<class... Args> void scan(std::tuple<Args...>& a) { scan<0, Args...>(a); } template<class T, class U> void scan(std::pair<T, U>& a) { scan(a.first); scan(a.second); } template<class T, typename std::enable_if<is_range<T>::value && !has_scan<T>::value>::type* = nullptr> void scan(T& a) { each_for (i : a) scan(i); } template<class T, typename std::enable_if<has_scan<T>::value>::type* = nullptr> void scan(T& a) { a.scan(*this); } void operator()() {} template<class Head, class... Args> void operator()(Head& head, Args&... args) { scan(head); operator()(args...); } template<class T> Scanner& operator>>(T& a) { scan(a); return *this; } explicit operator bool() const { return itr.rdstate(); } friend Scanner& getline(Scanner& scan, std::string& a) { a.erase(); char c; if ((c = scan.scan_char()) == '\n' || c == '\0') return scan; a += c; while ((c = scan.scan_char()) != '\n' && c != '\0') a += c; scan.itr.setstate(true); return scan; } }; Scanner<Reader<>::iterator> scan(reader.begin()); #line 2 "library/template/out.hpp" #line 8 "library/template/out.hpp" template<std::size_t buf_size = IO_BUFFER_SIZE> class Writer { private: int fd, idx; std::array<char, buf_size> buffer; inline void write_buf() { int num = write(fd, buffer.begin(), idx); idx = 0; if (num < 0) throw std::runtime_error("output failed"); } public: Writer() noexcept : fd(1), idx(0) {} Writer(int fd) noexcept : fd(fd), idx(0) {} Writer(FILE* fp) noexcept : fd(fileno(fp)), idx(0) {} ~Writer() { write_buf(); } class iterator { private: Writer* writer; public: using difference_type = void; using value_type = void; using pointer = void; using reference = void; using iterator_category = std::output_iterator_tag; iterator() noexcept : writer(nullptr) {} explicit iterator(Writer& writer) noexcept : writer(&writer) {} explicit iterator(Writer* writer) noexcept : writer(writer) {} iterator& operator++() { ++writer->idx; if (writer->idx == buf_size) writer->write_buf(); return *this; } iterator operator++(int) { iterator res = *this; ++(*this); return res; } char& operator*() const { return writer->buffer[writer->idx]; } void flush() const { writer->write_buf(); } }; iterator begin() noexcept { return iterator(this); } }; Writer<> writer(1), ewriter(2); template<class Iterator, bool debug = false> class Printer { public: using iterator_type = Iterator; private: template<class, bool = debug, class = void> struct has_print : std::false_type {}; template<class T> struct has_print<T, false, decltype(std::declval<T>().print(std::declval<Printer&>()), (void)0)> : std::true_type {}; template<class T> struct has_print<T, true, decltype(std::declval<T>().debug(std::declval<Printer&>()), (void)0)> : std::true_type {}; Iterator itr; std::size_t decimal_precision; public: void print_char(char c) { *itr = c; ++itr; } void flush() { itr.flush(); } Printer() noexcept = default; explicit Printer(const Iterator& itr) noexcept : itr(itr), decimal_precision(16) {} void set_decimal_precision(std::size_t decimal_precision) { this->decimal_precision = decimal_precision; } void print(char c) { if IF_CONSTEXPR (debug) print_char('\''); print_char(c); if IF_CONSTEXPR (debug) print_char('\''); } void print(bool b) { print_char((char)(b + '0')); } void print(const char* a) { if IF_CONSTEXPR (debug) print_char('"'); for (; *a != '\0'; ++a) print_char(*a); if IF_CONSTEXPR (debug) print_char('"'); } template<std::size_t len> void print(const char (&a)[len]) { if IF_CONSTEXPR (debug) print_char('"'); for (auto i : a) print_char(i); if IF_CONSTEXPR (debug) print_char('"'); } void print(const std::string& a) { if IF_CONSTEXPR (debug) print_char('"'); for (auto i : a) print_char(i); if IF_CONSTEXPR (debug) print_char('"'); } template<std::size_t len> void print(const std::bitset<len>& a) { rrep (i, len) print_char((char)(a[i] + '0')); } template<class T, typename std::enable_if<is_int<T>::value && !has_print<T>::value>::type* = nullptr> void print(T a) { if (!a) { print_char('0'); return; } if IF_CONSTEXPR (is_signed_int<T>::value) { if (a < 0) { print_char('-'); using U = typename make_unsigned_int<T>::type; print(static_cast<U>(-static_cast<U>(a))); return; } } std::string s; while (a) { s += (char)(a % 10 + '0'); a /= 10; } for (auto i = s.rbegin(); i != s.rend(); ++i) print_char(*i); } template<class T, typename std::enable_if<std::is_floating_point<T>::value && !has_print<T>::value>::type* = nullptr> void print(T a) { if (a == std::numeric_limits<T>::infinity()) { print("inf"); return; } if (a == -std::numeric_limits<T>::infinity()) { print("-inf"); return; } if (std::isnan(a)) { print("nan"); return; } if (a < 0) { print_char('-'); a = -a; } T b = a; if (b < 1) { print_char('0'); } else { std::string s; while (b >= 1) { s += (char)('0' + (int)std::fmod(b, 10.0)); b /= 10; } for (auto i = s.rbegin(); i != s.rend(); ++i) print_char(*i); } print_char('.'); rep (decimal_precision) { a *= 10; print_char((char)('0' + (int)std::fmod(a, 10.0))); } } private: template<std::size_t i, class... Args> void print(const std::tuple<Args...>& a) { if IF_CONSTEXPR (i < sizeof...(Args)) { if IF_CONSTEXPR (debug) print_char(','); print_char(' '); print(std::get<i>(a)); print<i + 1, Args...>(a); } } public: template<class... Args> void print(const std::tuple<Args...>& a) { if IF_CONSTEXPR (debug) print_char('('); if IF_CONSTEXPR (sizeof...(Args) != 0) print(std::get<0>(a)); print<1, Args...>(a); if IF_CONSTEXPR (debug) print_char(')'); } template<class T, class U> void print(const std::pair<T, U>& a) { if IF_CONSTEXPR (debug) print_char('('); print(a.first); if IF_CONSTEXPR (debug) print_char(','); print_char(' '); print(a.second); if IF_CONSTEXPR (debug) print_char(')'); } template<class T, typename std::enable_if<is_range<T>::value && !has_print<T>::value>::type* = nullptr> void print(const T& a) { if IF_CONSTEXPR (debug) print_char('{'); for (auto i = std::begin(a); i != std::end(a); ++i) { if (i != std::begin(a)) { if IF_CONSTEXPR (debug) print_char(','); print_char(' '); } print(*i); } if IF_CONSTEXPR (debug) print_char('}'); } template<class T, typename std::enable_if<has_print<T>::value && !debug>::type* = nullptr> void print(const T& a) { a.print(*this); } template<class T, typename std::enable_if<has_print<T>::value && debug>::type* = nullptr> void print(const T& a) { a.debug(*this); } void operator()() {} template<class Head, class... Args> void operator()(const Head& head, const Args&... args) { print(head); operator()(args...); } template<class T> Printer& operator<<(const T& a) { print(a); return *this; } Printer& operator<<(Printer& (*pf)(Printer&)) { return pf(*this); } }; template<class Iterator, bool debug> Printer<Iterator, debug>& endl(Printer<Iterator, debug>& pr) { pr.print_char('\n'); pr.flush(); return pr; } template<class Iterator, bool debug> Printer<Iterator, debug>& flush(Printer<Iterator, debug>& pr) { pr.flush(); return pr; } struct SetPrec { int n; template<class Pr> void print(Pr& pr) const { pr.set_decimal_precision(n); } template<class Pr> void debug(Pr& pr) const { pr.set_decimal_precision(n); } }; SetPrec setprec(int n) { return SetPrec{n}; }; Printer<Writer<>::iterator> print(writer.begin()), eprint(ewriter.begin()); template<class T> auto prints(const T& v) -> decltype(print << v, (void)0) { print << v; print.print_char('\n'); } template<class Head, class... Tail> auto prints(const Head& head, const Tail&... tail) -> decltype(print << head, (void)0) { print << head; print.print_char(' '); prints(tail...); } #ifdef SHIO_LOCAL Printer<Writer<>::iterator, true> debug(writer.begin()), edebug(ewriter.begin()); #else char debug_iterator_character; class DebugIterator { public: DebugIterator() noexcept = default; DebugIterator& operator++() { return *this; } DebugIterator& operator++(int) { return *this; } char& operator*() const { return debug_iterator_character; } void flush() const {} }; Printer<DebugIterator> debug, edebug; #endif template<class T> auto debugs(const T& v) -> decltype(debug << v, (void)0) { debug << v; debug.print_char('\n'); } template<class Head, class... Tail> auto debugs(const Head& head, const Tail&... tail) -> decltype(debug << head, (void)0) { debug << head; debug.print_char(' '); debugs(tail...); } #line 2 "library/template/bitop.hpp" #line 6 "library/template/bitop.hpp" namespace bitop { #define KTH_BIT(b, k) (((b) >> (k)) & 1) #define POW2(k) (1ull << (k)) inline ull next_combination(int n, ull x) { if (n == 0) return 1; ull a = x & -x; ull b = x + a; return (x & ~b) / a >> 1 | b; } #define rep_comb(i, n, k) \ for (ull i = (1ull << (k)) - 1; i < (1ull << (n)); \ i = bitop::next_combination((n), i)) inline CONSTEXPR int msb(ull x) { int res = x ? 0 : -1; if (x & 0xFFFFFFFF00000000) x &= 0xFFFFFFFF00000000, res += 32; if (x & 0xFFFF0000FFFF0000) x &= 0xFFFF0000FFFF0000, res += 16; if (x & 0xFF00FF00FF00FF00) x &= 0xFF00FF00FF00FF00, res += 8; if (x & 0xF0F0F0F0F0F0F0F0) x &= 0xF0F0F0F0F0F0F0F0, res += 4; if (x & 0xCCCCCCCCCCCCCCCC) x &= 0xCCCCCCCCCCCCCCCC, res += 2; return res + ((x & 0xAAAAAAAAAAAAAAAA) ? 1 : 0); } inline CONSTEXPR int ceil_log2(ull x) { return x ? msb(x - 1) + 1 : 0; } inline CONSTEXPR ull reverse(ull x) { x = ((x & 0xAAAAAAAAAAAAAAAA) >> 1) | ((x & 0x5555555555555555) << 1); x = ((x & 0xCCCCCCCCCCCCCCCC) >> 2) | ((x & 0x3333333333333333) << 2); x = ((x & 0xF0F0F0F0F0F0F0F0) >> 4) | ((x & 0x0F0F0F0F0F0F0F0F) << 4); x = ((x & 0xFF00FF00FF00FF00) >> 8) | ((x & 0x00FF00FF00FF00FF) << 8); x = ((x & 0xFFFF0000FFFF0000) >> 16) | ((x & 0x0000FFFF0000FFFF) << 16); return (x >> 32) | (x << 32); } inline CONSTEXPR ull reverse(ull x, int n) { return reverse(x) >> (64 - n); } } // namespace bitop inline CONSTEXPR int popcnt(ull x) noexcept { #if __cplusplus >= 202002L return std::popcount(x); #endif x = (x & 0x5555555555555555) + ((x >> 1) & 0x5555555555555555); x = (x & 0x3333333333333333) + ((x >> 2) & 0x3333333333333333); x = (x & 0x0f0f0f0f0f0f0f0f) + ((x >> 4) & 0x0f0f0f0f0f0f0f0f); x = (x & 0x00ff00ff00ff00ff) + ((x >> 8) & 0x00ff00ff00ff00ff); x = (x & 0x0000ffff0000ffff) + ((x >> 16) & 0x0000ffff0000ffff); return (x & 0x00000000ffffffff) + ((x >> 32) & 0x00000000ffffffff); } #line 2 "library/template/func.hpp" #line 6 "library/template/func.hpp" template<class T, class U, class Comp = std::less<>> inline constexpr bool chmin(T& a, const U& b, Comp cmp = Comp()) noexcept(noexcept(cmp(b, a))) { return cmp(b, a) ? a = b, true : false; } template<class T, class U, class Comp = std::less<>> inline constexpr bool chmax(T& a, const U& b, Comp cmp = Comp()) noexcept(noexcept(cmp(a, b))) { return cmp(a, b) ? a = b, true : false; } inline CONSTEXPR ll gcd(ll a, ll b) noexcept { if (a < 0) a = -a; if (b < 0) b = -b; while (b) { const ll c = a; a = b; b = c % b; } return a; } inline CONSTEXPR ll lcm(ll a, ll b) noexcept { return a / gcd(a, b) * b; } inline CONSTEXPR bool is_prime(ll N) noexcept { if (N <= 1) return false; for (ll i = 2; i * i <= N; ++i) { if (N % i == 0) return false; } return true; } inline std::vector<ll> prime_factor(ll N) { std::vector<ll> res; for (ll i = 2; i * i <= N; ++i) { while (N % i == 0) { res.push_back(i); N /= i; } } if (N != 1) res.push_back(N); return res; } inline CONSTEXPR ll my_pow(ll a, ll b) noexcept { ll res = 1; while (b) { if (b & 1) res *= a; b >>= 1; a *= a; } return res; } inline CONSTEXPR ll mod_pow(ll a, ll b, ll mod) { assert(mod > 0); if (mod == 1) return 0; a %= mod; ll res = 1; while (b) { if (b & 1) (res *= a) %= mod; b >>= 1; (a *= a) %= mod; } return res; } inline PLL extGCD(ll a, ll b) { const ll n = a, m = b; ll x = 1, y = 0, u = 0, v = 1; ll t; while (b) { t = a / b; std::swap(a -= t * b, b); std::swap(x -= t * u, u); std::swap(y -= t * v, v); } if (x < 0) { x += m; y -= n; } return {x, y}; } inline ll mod_inv(ll a, ll mod) { ll b = mod; ll x = 1, u = 0; ll t; while (b) { t = a / b; std::swap(a -= t * b, b); std::swap(x -= t * u, u); } if (x < 0) x += mod; assert(a == 1); return x; } #line 2 "library/template/util.hpp" #line 6 "library/template/util.hpp" template<class F> class RecLambda { private: F f; public: explicit constexpr RecLambda(F&& f_) : f(std::forward<F>(f_)) {} template<class... Args> constexpr auto operator()(Args&&... args) -> decltype(f(*this, std::forward<Args>(args)...)) { return f(*this, std::forward<Args>(args)...); } }; template<class F> inline constexpr RecLambda<F> rec_lambda(F&& f) { return RecLambda<F>(std::forward<F>(f)); } template<class Head, class... Tail> struct multi_dim_vector { using type = std::vector<typename multi_dim_vector<Tail...>::type>; }; template<class T> struct multi_dim_vector<T> { using type = T; }; template<class T, class Arg> constexpr std::vector<T> make_vec(int n, Arg&& arg) { return std::vector<T>(n, std::forward<Arg>(arg)); } template<class T, class... Args> constexpr typename multi_dim_vector<Args..., T>::type make_vec(int n, Args&&... args) { return typename multi_dim_vector<Args..., T>::type( n, make_vec<T>(std::forward<Args>(args)...)); } template<class T, class Comp = std::less<T>> class presser { private: std::vector<T> dat; Comp cmp; bool sorted = false; public: presser() : presser(Comp()) {} presser(const Comp& cmp) : cmp(cmp) {} presser(const std::vector<T>& vec, const Comp& cmp = Comp()) : dat(vec), cmp(cmp) {} presser(std::vector<T>&& vec, const Comp& cmp = Comp()) : dat(std::move(vec)), cmp(cmp) {} presser(std::initializer_list<T> il, const Comp& cmp = Comp()) : dat(all(il)), cmp(cmp) {} void reserve(int n) { assert(!sorted); dat.reserve(n); } void push_back(const T& v) { assert(!sorted); dat.push_back(v); } void push_back(T&& v) { assert(!sorted); dat.push_back(std::move(v)); } template<class... Args> void emplace_back(Args&&... args) { assert(!sorted); dat.emplace_back(std::forward<Args>(args)...); } void push(const std::vector<T>& vec) { assert(!sorted); const int n = dat.size(); dat.resize(n + vec.size()); rep (i, vec.size()) dat[n + i] = vec[i]; } int build() { assert(!sorted); sorted = true; std::sort(all(dat), cmp); dat.erase(std::unique(all(dat), [&](const T& a, const T& b) -> bool { return !cmp(a, b) && !cmp(b, a); }), dat.end()); return dat.size(); } const T& operator[](int k) const& { assert(sorted); assert(0 <= k && k < (int)dat.size()); return dat[k]; } T operator[](int k) && { assert(sorted); assert(0 <= k && k < (int)dat.size()); return std::move(dat[k]); } int get(const T& val) const { assert(sorted); auto itr = std::lower_bound(all(dat), val, cmp); assert(itr != dat.end() && !cmp(val, *itr)); return itr - dat.begin(); } int lower_bound(const T& val) const { assert(sorted); auto itr = std::lower_bound(all(dat), val, cmp); return itr - dat.begin(); } int upper_bound(const T& val) const { assert(sorted); auto itr = std::upper_bound(all(dat), val, cmp); return itr - dat.begin(); } bool contains(const T& val) const { assert(sorted); return std::binary_search(all(dat), val, cmp); } std::vector<int> pressed(const std::vector<T>& vec) const { assert(sorted); std::vector<int> res(vec.size()); rep (i, vec.size()) res[i] = get(vec[i]); return res; } void press(std::vector<T>& vec) const { static_assert(std::is_convertible<T, int>::value, "template argument must be convertible from int type"); assert(sorted); each_for (i : vec) i = get(i); } int size() const { assert(sorted); return dat.size(); } const std::vector<T>& data() const& { return dat; } std::vector<T> data() && { return std::move(dat); } }; #line 2 "library/graph/Graph.hpp" #line 4 "library/graph/Graph.hpp" template<class T = int> struct edge { int from, to; T cost; int idx; edge() : from(-1), to(-1) {} edge(int f, int t, const T& c = 1, int i = -1) : from(f), to(t), cost(c), idx(i) {} edge(int f, int t, T&& c, int i = -1) : from(f), to(t), cost(std::move(c)), idx(i) {} operator int() const { return to; } friend bool operator<(const edge<T>& lhs, const edge<T>& rhs) { return lhs.cost < rhs.cost; } friend bool operator>(const edge<T>& lhs, const edge<T>& rhs) { return lhs.cost > rhs.cost; } }; template<class T = int> using Edges = std::vector<edge<T>>; template<class T = int> using GMatrix = std::vector<std::vector<T>>; template<class T = int> class Graph : public std::vector<std::vector<edge<T>>> { private: using Base = std::vector<std::vector<edge<T>>>; public: int edge_id = 0; using Base::Base; int edge_size() const { return edge_id; } int add_edge(int a, int b, const T& c, bool is_directed = false) { assert(0 <= a && a < (int)this->size()); assert(0 <= b && b < (int)this->size()); (*this)[a].emplace_back(a, b, c, edge_id); if (!is_directed) (*this)[b].emplace_back(b, a, c, edge_id); return edge_id++; } int add_edge(int a, int b, bool is_directed = false) { assert(0 <= a && a < (int)this->size()); assert(0 <= b && b < (int)this->size()); (*this)[a].emplace_back(a, b, 1, edge_id); if (!is_directed) (*this)[b].emplace_back(b, a, 1, edge_id); return edge_id++; } }; template<class T> GMatrix<T> ListToMatrix(const Graph<T>& G) { const int N = G.size(); auto res = make_vec<T>(N, N, infinity<T>::value); rep (i, N) res[i][i] = 0; rep (i, N) { each_const (e : G[i]) res[i][e.to] = e.cost; } return res; } template<class T> Edges<T> UndirectedListToEdges(const Graph<T>& G) { const int V = G.size(); const int E = G.edge_size(); Edges<T> Ed(E); rep (i, V) { each_const (e : G[i]) Ed[e.idx] = e; } return Ed; } template<class T> Edges<T> DirectedListToEdges(const Graph<T>& G) { const int V = G.size(); const int E = std::accumulate( all(G), 0, [](int a, const std::vector<edge<T>>& v) -> int { return a + v.size(); }); Edges<T> Ed(G.edge_size()); Ed.reserve(E); rep (i, V) { each_const (e : G[i]) { if (Ed[e.idx] == -1) Ed[e.idx] = e; else Ed.push_back(e); } } return Ed; } template<class T> Graph<T> ReverseGraph(const Graph<T>& G) { const int V = G.size(); Graph<T> res(V); rep (i, V) { each_const (e : G[i]) { res[e.to].emplace_back(e.to, e.from, e.cost, e.idx); } } res.edge_id = G.edge_size(); return res; } struct unweighted_edge { template<class... Args> unweighted_edge(const Args&...) {} operator int() { return 1; } }; using UnweightedGraph = Graph<unweighted_edge>; /** * @brief Graph-template * @docs docs/graph/Graph.md */ #line 2 "library/graph/connected/ConnectedComponents.hpp" #line 5 "library/graph/connected/ConnectedComponents.hpp" template<class T> class ConnectedComponents { private: int n, sz; const Graph<T>& G; std::vector<int> cmp; void dfs(int v) { each_const (e : G[v]) { if (cmp[e.to] != -1) continue; cmp[e.to] = cmp[v]; dfs(e.to); } } void init() { n = G.size(); cmp.assign(n, -1); sz = 0; rep (i, n) { if (cmp[i] != -1) continue; cmp[i] = sz++; dfs(i); } } public: ConnectedComponents(const Graph<T>& G) : G(G) { init(); } int size() const { return sz; } int operator[](int k) const { return cmp[k]; } std::vector<std::vector<int>> groups() const { std::vector<std::vector<int>> res(sz); rep (i, n) res[cmp[i]].push_back(i); return res; } }; /** * @brief ConnectedComponents(連結成分分解) * @docs docs/graph/connected/ConnectedComponents.md */ #line 2 "library/graph/other/GraphCycle.hpp" #line 5 "library/graph/other/GraphCycle.hpp" template<class T> class GraphCycle { private: const Graph<T>& G; std::vector<bool> visited, seen; Edges<T> cycle; int dfs(int v, int k) { if (seen[v]) return v; if (visited[v]) return -1; visited[v] = seen[v] = true; each_const (e : G[v]) { if (e.idx == k) continue; int d = dfs(e.to, e.idx); if (d != -1) { if (d == -2) return -2; cycle.push_back(e); if (d == v) return -2; return d; } } seen[v] = false; return -1; } void init() { const int N = G.size(); visited.assign(N, false); seen.assign(N, false); rep (i, N) { if (dfs(i, -1) == -2) { std::reverse(all(cycle)); break; } } } public: GraphCycle(const Graph<T>& G) : G(G) { init(); } bool has_cycle() const { return !cycle.empty(); } const Edges<T>& get_cycle() const& { return cycle; } Edges<T> get_cycle() && { return std::move(cycle); } }; /** * @brief GraphCycle(閉路検出) * @docs docs/graph/other/GraphCycle.md */ #line 5 "main.cpp" using namespace std; void solve(); int main() { int T; scan >> T; rep (T) solve(); } void solve() { int N; scan >> N; vector<int> A(N); scan >> A; vector<int> B(N); scan >> B; rep (i, N) --A[i]; rep (i, N) --B[i]; // i -> A[i] のグラフを考える // 操作によって弱連結性は変化しないので、弱連結成分が全て等しいことは必要 ConnectedComponents<int> cca([&] { Graph<int> G(N); rep (i, N) G.add_edge(i, A[i]); return G; }()), ccb([&] { Graph<int> G(N); rep (i, N) G.add_edge(i, B[i]); return G; }()); if (cca.groups() != ccb.groups()) { prints("No"); return; } vector<int> idx(N, -1); for (auto grp : cca.groups()) { int n = grp.size(); rep (i, n) idx[grp[i]] = i; vector<int> a(n), b(n); rep (i, n) { a[i] = idx[A[grp[i]]]; b[i] = idx[B[grp[i]]]; } // 連結成分ごとに考えられる // i -> a[i] のグラフを G として、 G でサイクルに属さない部分の頂点は、 // G 上で i から b[i] に到達可能なことが必要十分 auto cycle = GraphCycle<int>([&] { Graph<int> G(n); rep (i, n) G.add_edge(i, a[i], true); return G; }()).get_cycle(); vector<int> is_cycle(n, -1); rep (i, cycle.size()) is_cycle[cycle[i].from] = i; vector<int> in(n, -1), out(n, -1); { Graph<int> g(n); rep (i, n) g.add_edge(a[i], i, true); int cnt = 0; rep (i, n) { if (is_cycle[i] == -1) continue; rec_lambda([&](auto&& self, int v) -> void { in[v] = cnt++; each_const (e : g[v]) { if (is_cycle[e.to] == -1) self(e.to); } out[v] = cnt++; })(i); } } rep (i, n) { if (is_cycle[i] != -1) continue; if (is_cycle[b[i]] == -1 && (in[b[i]] > in[i] || out[i] > out[b[i]])) { prints("No"); return; } } // サイクルに属する頂点は、次の条件を満たせば良い // + b[i] がサイクルに属する // + i -> b[i] のグラフが弱連結 // + i -> b[i] のグラフでサイクルになっている部分は、 G のサイクルの(連続とは限らない)部分列 for (auto e : cycle) { if (is_cycle[b[e.from]] == -1) { prints("No"); return; } } { ConnectedComponents cc([&] { Graph<int> G(cycle.size()); for (auto e : cycle) G.add_edge(is_cycle[e.from], is_cycle[b[e.from]]); return G; }()); if (cc.groups().size() != 1) { prints("No"); return; } } auto cycle2 = GraphCycle<int>([&] { Graph<int> G(cycle.size()); for (auto e : cycle) G.add_edge(is_cycle[e.from], is_cycle[b[e.from]], true); return G; }()).get_cycle(); int s = 0; rep (i, cycle2.size() - 1) { if (cycle2[i].from > cycle2[i + 1].from) { s = i + 1; break; } } const int len = cycle2.size(); rep (i, cycle2.size() - 1) { if (cycle2[(i + s) % len].from > cycle2[(i + 1 + s) % len].from) { prints("No"); return; } } } prints("Yes"); } /* 1 -> 4 -> 2 -> 3 -> 1 1 -> 3 -> 2 -> 4 -> 3 */