結果
問題 | No.2395 区間二次変換一点取得 |
ユーザー | shiomusubi496 |
提出日時 | 2023-07-28 22:07:59 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 126 ms / 2,000 ms |
コード長 | 47,975 bytes |
コンパイル時間 | 2,660 ms |
コンパイル使用メモリ | 221,760 KB |
実行使用メモリ | 6,912 KB |
最終ジャッジ日時 | 2024-10-06 19:01:43 |
合計ジャッジ時間 | 5,210 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge1 |
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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 | 2 ms
5,248 KB |
testcase_02 | AC | 2 ms
5,248 KB |
testcase_03 | AC | 2 ms
5,248 KB |
testcase_04 | AC | 2 ms
5,248 KB |
testcase_05 | AC | 1 ms
5,248 KB |
testcase_06 | AC | 2 ms
5,248 KB |
testcase_07 | AC | 2 ms
5,248 KB |
testcase_08 | AC | 2 ms
5,248 KB |
testcase_09 | AC | 2 ms
5,248 KB |
testcase_10 | AC | 2 ms
5,248 KB |
testcase_11 | AC | 2 ms
5,248 KB |
testcase_12 | AC | 11 ms
5,248 KB |
testcase_13 | AC | 125 ms
6,912 KB |
testcase_14 | AC | 126 ms
6,912 KB |
testcase_15 | AC | 125 ms
6,784 KB |
testcase_16 | AC | 124 ms
6,820 KB |
testcase_17 | AC | 126 ms
6,912 KB |
testcase_18 | AC | 57 ms
6,912 KB |
testcase_19 | AC | 57 ms
6,784 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/math/BarrettReduction.hpp" #line 4 "library/math/BarrettReduction.hpp" class BarrettReduction { private: unsigned int m; unsigned long long im; public: BarrettReduction(unsigned int m_) : m(m_), im((unsigned long long)(-1) / m + 1) {} inline void set_mod(unsigned int m_) { m = m_; im = (unsigned long long)(-1) / m + 1; } inline unsigned int get_mod() const { return m; } unsigned int reduce(ull a) const { ull x = static_cast<ull>((static_cast<__uint128_t>(a) * im) >> 64); unsigned int v = static_cast<unsigned int>(a - x * static_cast<ull>(m)); return v >= m ? v + m : v; } unsigned int rem(ull a) const { return reduce(a); } ull quo(ull a) const { ull x = static_cast<ull>((static_cast<__uint128_t>(a) * im) >> 64); unsigned int v = static_cast<unsigned int>(a - x * static_cast<ull>(m)); return v >= m ? x - 1 : x; } unsigned int mul(unsigned int a, unsigned int b) const { return reduce(static_cast<ull>(a) * b); } }; template<int id> class BarrettModInt { private: unsigned int val; static BarrettReduction bar; public: BarrettModInt() : val(0) {} template<class U, typename std::enable_if< std::is_integral<U>::value>::type* = nullptr> BarrettModInt(U x) { long long v = (long long)(x % (long long)bar.get_mod()); if (v < 0) v += bar.get_mod(); val = (unsigned int)v; } unsigned int get() const { return val; } static unsigned int get_mod() { return bar.get_mod(); } static void set_mod(unsigned int v) { bar.set_mod(v); } BarrettModInt operator+() const { return *this; } BarrettModInt operator-() const { BarrettModInt res; if (val) res.val = bar.get_mod() - val; return res; } BarrettModInt& operator++() { ++val; if (val == bar.get_mod()) val = 0; return *this; } BarrettModInt& operator--() { if (val == 0) val = bar.get_mod(); --val; return *this; } BarrettModInt operator++(int) { BarrettModInt res = *this; ++*this; return res; } BarrettModInt operator--(int) { BarrettModInt res = *this; --*this; return res; } BarrettModInt& operator+=(const BarrettModInt& rhs) { val += rhs.val; if (val >= bar.get_mod()) val -= bar.get_mod(); return *this; } BarrettModInt& operator-=(const BarrettModInt& rhs) { if (val < rhs.val) val += bar.get_mod(); val -= rhs.val; return *this; } BarrettModInt& operator*=(const BarrettModInt& rhs) { val = bar.mul(val, rhs.val); return *this; } BarrettModInt pow(ull n) const { BarrettModInt res = 1, x = *this; while (n) { if (n & 1) res *= x; x *= x; n >>= 1; } return res; } BarrettModInt inv() const { return mod_inv(val, bar.get_mod()); } BarrettModInt& operator/=(const BarrettModInt& rhs) { return *this *= rhs.inv(); } friend BarrettModInt operator+(const BarrettModInt& lhs, const BarrettModInt& rhs) { return BarrettModInt(lhs) += rhs; } friend BarrettModInt operator-(const BarrettModInt& lhs, const BarrettModInt& rhs) { return BarrettModInt(lhs) -= rhs; } friend BarrettModInt operator*(const BarrettModInt& lhs, const BarrettModInt& rhs) { return BarrettModInt(lhs) *= rhs; } friend BarrettModInt operator/(const BarrettModInt& lhs, const BarrettModInt& rhs) { return BarrettModInt(lhs) /= rhs; } friend bool operator==(const BarrettModInt& lhs, const BarrettModInt& rhs) { return lhs.val == rhs.val; } friend bool operator!=(const BarrettModInt& lhs, const BarrettModInt& rhs) { return lhs.val != rhs.val; } template<class Pr> void print(Pr& a) const { a.print(bar.reduce(val)); } template<class Pr> void debug(Pr& a) const { a.print(bar.reduce(val)); } template<class Sc> void scan(Sc& a) { ll v; a.scan(v); *this = v; } }; template<int id> BarrettReduction BarrettModInt<id>::bar = BarrettReduction(998244353); using bmodint = BarrettModInt<-1>; #line 2 "library/data-struct/segment/DualSegmentTree.hpp" #line 2 "library/other/monoid.hpp" #line 4 "library/other/monoid.hpp" namespace Monoid { template<class M, class = void> class has_op : public std::false_type {}; template<class M> class has_op<M, decltype((void)M::op)> : public std::true_type {}; template<class M, class = void> class has_id : public std::false_type {}; template<class M> class has_id<M, decltype((void)M::id)> : public std::true_type {}; template<class M, class = void> class has_inv : public std::false_type {}; template<class M> class has_inv<M, decltype((void)M::inv)> : public std::true_type {}; template<class M, class = void> class has_get_inv : public std::false_type {}; template<class M> class has_get_inv<M, decltype((void)M::get_inv)> : public std::true_type {}; template<class M, class = void> class has_init : public std::false_type {}; template<class M> class has_init<M, decltype((void)M::init(0, 0))> : public std::true_type {}; template<class A, class = void> class has_mul_op : public std::false_type {}; template<class A> class has_mul_op<A, decltype((void)A::mul_op)> : public std::true_type {}; template<class T, class = void> class is_semigroup : public std::false_type {}; template<class T> class is_semigroup<T, decltype(std::declval<typename T::value_type>(), (void)T::op)> : public std::true_type {}; template<class T, class = void> class is_monoid : public std::false_type {}; template<class T> class is_monoid<T, decltype(std::declval<typename T::value_type>(), (void)T::op, (void)T::id)> : public std::true_type {}; template<class T, class = void> class is_group : public std::false_type {}; template<class T> class is_group<T, decltype(std::declval<typename T::value_type>(), (void)T::op, (void)T::id, (void)T::get_inv)> : public std::true_type {}; template<class T, class = void> class is_action : public std::false_type {}; template<class T> class is_action<T, typename std::enable_if<is_monoid<typename T::M>::value && is_semigroup<typename T::E>::value && (has_op<T>::value || has_mul_op<T>::value)>::type> : public std::true_type {}; template<class T, class = void> class is_distributable_action : public std::false_type {}; template<class T> class is_distributable_action< T, typename std::enable_if<is_action<T>::value && !has_mul_op<T>::value>::type> : public std::true_type {}; template<class T> struct Sum { using value_type = T; static constexpr T op(const T& a, const T& b) { return a + b; } static constexpr T id() { return T{0}; } static constexpr T inv(const T& a, const T& b) { return a - b; } static constexpr T get_inv(const T& a) { return -a; } }; template<class T, T max_value = infinity<T>::max> struct Min { using value_type = T; static constexpr T op(const T& a, const T& b) { return a < b ? a : b; } static constexpr T id() { return max_value; } }; template<class T, T min_value = infinity<T>::min> struct Max { using value_type = T; static constexpr T op(const T& a, const T& b) { return a < b ? b : a; } static constexpr T id() { return min_value; } }; template<class T> struct Assign { using value_type = T; static constexpr T op(const T&, const T& b) { return b; } }; template<class T, T max_value = infinity<T>::max> struct AssignMin { using M = Min<T, max_value>; using E = Assign<T>; static constexpr T op(const T& a, const T&) { return a; } }; template<class T, T min_value = infinity<T>::min> struct AssignMax { using M = Max<T, min_value>; using E = Assign<T>; static constexpr T op(const T& a, const T&) { return a; } }; template<class T> struct AssignSum { using M = Sum<T>; using E = Assign<T>; static constexpr T mul_op(const T& a, int b, const T&) { return a * b; } }; template<class T, T max_value = infinity<T>::max> struct AddMin { using M = Min<T, max_value>; using E = Sum<T>; static constexpr T op(const T& a, const T& b) { return b + a; } }; template<class T, T min_value = infinity<T>::min> struct AddMax { using M = Max<T, min_value>; using E = Sum<T>; static constexpr T op(const T& a, const T& b) { return b + a; } }; template<class T> struct AddSum { using M = Sum<T>; using E = Sum<T>; static constexpr T mul_op(const T& a, int b, const T& c) { return c + a * b; } }; template<class T, T max_value = infinity<T>::max> struct ChminMin { using M = Min<T, max_value>; using E = Min<T>; static constexpr T op(const T& a, const T& b) { return std::min(b, a); } }; template<class T, T min_value = infinity<T>::min> struct ChminMax { using M = Max<T, min_value>; using E = Min<T>; static constexpr T op(const T& a, const T& b) { return std::min(b, a); } }; template<class T, T max_value = infinity<T>::max> struct ChmaxMin { using M = Min<T, max_value>; using E = Max<T>; static constexpr T op(const T& a, const T& b) { return std::max(b, a); } }; template<class T, T min_value = infinity<T>::min> struct ChmaxMax { using M = Max<T, min_value>; using E = Max<T>; static constexpr T op(const T& a, const T& b) { return std::max(b, a); } }; template<class M> struct ReverseMonoid { using value_type = typename M::value_type; static value_type op(const value_type& a, const value_type& b) { return M::op(b, a); } static value_type id() { static_assert(has_id<M>::value, "id is not defined"); return M::id(); } static value_type get_inv(const value_type& a) { static_assert(has_get_inv<M>::value, "get_inv is not defined"); return M::get_inv(a); } }; template<class M_> struct AttachEffector { using M = M_; using E = M_; using T = typename M_::value_type; static T op(const T& a, const T& b) { return M_::op(b, a); } }; template<class E_> struct AttachMonoid { using M = E_; using E = E_; using T = typename E_::value_type; static T op(const T& a, const T& b) { return E_::op(b, a); } }; } // namespace Monoid #line 5 "library/data-struct/segment/DualSegmentTree.hpp" template<class A, bool = Monoid::is_semigroup<A>::value> class DualSegmentTree { static_assert(Monoid::is_semigroup<typename A::M>::value, "M must be semigroup"); static_assert(Monoid::is_semigroup<typename A::E>::value, "E must be semigroup"); static_assert(Monoid::has_op<A>::value, "A must have op"); private: using M = typename A::M; using E = typename A::E; using T = typename M::value_type; using U = typename E::value_type; int n, h, ori; std::vector<T> data; std::vector<U> lazy; std::vector<bool> lazyflag; template<bool AlwaysTrue = true, typename std::enable_if<!Monoid::has_mul_op<A>::value && AlwaysTrue>::type* = nullptr> static inline T Aop(const U& a, const T& b, int) { return A::op(a, b); } template<bool AlwaysTrue = true, typename std::enable_if<Monoid::has_mul_op<A>::value && AlwaysTrue>::type* = nullptr> static inline T Aop(const U& a, const T& b, int c) { return A::mul_op(a, c, b); } void all_apply(int k, U x) { if (k < n) { if (lazyflag[k]) { lazy[k] = E::op(lazy[k], x); } else { lazy[k] = x; lazyflag[k] = true; } } else if (k < n + ori) { data[k - n] = Aop(x, data[k - n], 1); } } void eval(int k) { if (lazyflag[k]) { all_apply(k << 1, lazy[k]); all_apply(k << 1 ^ 1, lazy[k]); lazyflag[k] = false; } } public: DualSegmentTree() : DualSegmentTree(0) {} DualSegmentTree(int n) : DualSegmentTree(n, T{}) {} DualSegmentTree(int n_, const T& v) : DualSegmentTree(std::vector<T>(n_, v)) {} DualSegmentTree(const std::vector<T>& v) { init(v); } void init(const std::vector<T>& v) { ori = v.size(); h = bitop::ceil_log2(ori); n = 1 << h; data = v; lazy.resize(n); lazyflag.assign(n, false); } T get(int k) { assert(0 <= k && k < ori); k += n; rreps (i, h) eval(k >> i); return data[k - n]; } template<class Upd> void update(int k, const Upd& upd) { assert(0 <= k && k < ori); k += n; rreps (i, h) eval(k >> i); data[k - n] = upd(data[k - n]); } void set(int k, T x) { update(k, [&](T) -> T { return x; }); } void apply(int k, U x) { update(k, [&](T a) -> T { return A::op(x, a); }); } void apply(int l, int r, U x) { assert(0 <= l && l <= r && r <= ori); l += n; r += n; rreps (i, h) { bool seen = false; if (((l >> i) << i) != l) eval(l >> i), seen = true; if (((r >> i) << i) != r) eval((r - 1) >> i), seen = true; if (!seen) break; } while (l != r) { if (l & 1) all_apply(l++, x); if (r & 1) all_apply(--r, x); l >>= 1; r >>= 1; } } }; template<class E> class DualSegmentTree<E, true> : public DualSegmentTree<Monoid::AttachMonoid<E>> { private: using Base = DualSegmentTree<Monoid::AttachMonoid<E>>; public: using Base::Base; }; // verified with test/aoj/DSL/DSL_2_D-RUQ.test.cpp template<class T> using RangeUpdateQuery = DualSegmentTree<Monoid::Assign<T>>; // verified with test/aoj/DSL/DSL_2_E-RAQ.test.cpp template<class T> using RangeAddQuery = DualSegmentTree<Monoid::Sum<T>>; template<class T, T max_value = infinity<T>::max> using RangeChminQuery = DualSegmentTree<Monoid::Min<T, max_value>>; template<class T, T min_value = infinity<T>::min> using RangeChmaxQuery = DualSegmentTree<Monoid::Max<T, min_value>>; /** * @brief DualSegmentTree(双対セグメント木) * @docs docs/data-struct/segment/DualSegmentTree.md */ #line 4 "main.cpp" using namespace std; using mint = bmodint; int main() { int N, B, Q; scan >> N >> B >> Q; mint::set_mod(B); vector<array<mint, 3>> A(Q + 1); A[0] = {1, 1, 1}; rep (i, Q) { A[i + 1] = A[i]; A[i + 1][0] = A[i + 1][0] + 1; A[i + 1][1] = 3 * A[i + 1][1] + 2 * A[i + 1][0] * A[i + 1][2]; A[i + 1][2] = 3 * A[i + 1][2]; } RangeAddQuery<ll> seg(N); rep (Q) { int l, m, r; scan >> l >> m >> r; --l; --m; seg.apply(l, r, 1); auto res = seg.get(m); prints(A[res]); } } /* (x, y, z, xz, 1) -> (x+1, 3y+2xz+2z, 3z, 3xz+3, 1) */