結果
問題 | No.2337 Equidistant |
ユーザー | shiomusubi496 |
提出日時 | 2023-06-02 22:27:49 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
WA
|
実行時間 | - |
コード長 | 49,143 bytes |
コンパイル時間 | 3,203 ms |
コンパイル使用メモリ | 233,132 KB |
実行使用メモリ | 105,984 KB |
最終ジャッジ日時 | 2024-06-08 23:53:51 |
合計ジャッジ時間 | 16,390 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge5 |
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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 |
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testcase_00 | AC | 2 ms
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testcase_01 | WA | - |
testcase_02 | WA | - |
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testcase_05 | WA | - |
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testcase_07 | WA | - |
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testcase_28 | WA | - |
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; } }; 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(); } }; Scanner<Reader<>::iterator> scan(reader.begin()); template<class Iterator, std::size_t decimal_precision> Scanner<Iterator, decimal_precision>& getline(Scanner<Iterator, decimal_precision>& scan, std::string& a) { a.clear(); char c; while ((c = scan.scan_char()) != '\n') { a += c; } return scan; } #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/tree/ReRooting.hpp" #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 4 "library/graph/tree/ReRooting.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 6 "library/graph/tree/ReRooting.hpp" template<class M, class T, class F> class ReRooting { private: using U = typename M::value_type; const F& f; int n; const Graph<T>& G; std::vector<U> init_data; std::vector<std::vector<U>> dp; std::vector<U> res; std::vector<int> par; void dfs1(int v, int p) { rep (i, G[v].size()) { const auto& e = G[v][i]; if (e.to == p) par[v] = i; else dfs1(e.to, v); } rep (i, G[v].size()) { const auto& e = G[v][i]; if (e.to == p) continue; dp[v][par[v]] = M::op(dp[v][par[v]], f(dp[e.to][par[e.to]], edge<T>{e.to, v, e.cost, e.idx})); } if (p != -1 && G[v].size() == 1) { dp[v][par[v]] = init_data[v]; } } void dfs2(int v, int p, int v_id) { std::vector<U> memo(G[v].size()); rep (i, G[v].size()) { const auto& e = G[v][i]; memo[i] = f(dp[e.to][e.to == p ? v_id : par[e.to]], edge<T>{e.to, v, e.cost, e.idx}); } dp[v][G[v].size() - 1] = M::id(); rrep (i, (int)G[v].size() - 1) { dp[v][i] = M::op(memo[i + 1], dp[v][i + 1]); } U sml = M::id(); rep (i, G[v].size()) { dp[v][i] = M::op(sml, dp[v][i]); sml = M::op(sml, std::move(memo[i])); } dp[v].back() = std::move(sml); if (G[v].size() == 1) { dp[v][p == -1 ? 0 : par[v]] = std::move(init_data[v]); } rep (i, G[v].size()) { const auto& e = G[v][i]; if (e.to != p) dfs2(e.to, v, i); } } void init() { n = G.size(); if (n == 1) { res = std::move(init_data); dp.assign(1, std::vector<U>{}); return; } dp.resize(n); rep (i, n) dp[i].assign(G[i].size() + 1, M::id()); par.resize(n); par[0] = G[0].size(); dfs1(0, -1); dfs2(0, -1, -1); res.resize(n); rep (i, n) { res[i] = std::move(dp[i].back()); dp[i].pop_back(); } } public: ReRooting(const Graph<T>& G, const F& f) : ReRooting(G, f, std::vector<U>(G.size(), M::id())) {} ReRooting(const Graph<T>& G, const F& f, const std::vector<U>& ind) : f(f), G(G), init_data(ind) { init(); } ReRooting(const Graph<T>& G, const F& f, std::vector<U>&& ind) : f(f), G(G), init_data(std::move(ind)) { init(); } const std::vector<U>& get_res() const& { return res; } std::vector<U> get_res() && { return std::move(res); } const U& operator[](int v) const& { return res[v]; } U operator[](int v) && { return std::move(res[v]); } const std::vector<std::vector<U>>& get_dp() const& { return dp; } std::vector<std::vector<U>> get_dp() && { return std::move(dp); } const U& get_dp(int v, int p_idx) const& { return dp[v][p_idx]; } U get_dp(int v, int p_idx) && { return std::move(dp[v][p_idx]); } }; /** * @brief ReRooting(全方位木DP) * @docs docs/graph/tree/ReRooting.md */ #line 2 "library/graph/tree/DoublingLowestCommonAncestor.hpp" #line 5 "library/graph/tree/DoublingLowestCommonAncestor.hpp" template<class T> class DoublingLCA { private: int root, n, h; Graph<T> G_; const Graph<T>& G; std::vector<edge<T>> par; std::vector<int> dep; std::vector<std::vector<int>> dbl; void dfs_build(int v, int p) { each_const (e : G[v]) { if (e.to != p) { par[e.to] = edge<T>(e.to, e.from, e.cost, e.idx); dep[e.to] = dep[v] + 1; dfs_build(e.to, v); } } } void init() { n = G.size(); h = bitop::ceil_log2(n) + 1; par.resize(n); par[root] = edge<T>{}; dep.resize(n); dep[root] = 0; dfs_build(root, -1); dbl.assign(n, std::vector<int>(h, -1)); rep (i, n) dbl[i][0] = par[i].to; rep (i, h - 1) { rep (j, n) dbl[j][i + 1] = dbl[j][i] == -1 ? -1 : dbl[dbl[j][i]][i]; } } public: DoublingLCA(const Graph<T>& G, int r = 0) : root(r), G(G) { init(); } DoublingLCA(Graph<T>&& G, int r = 0) : root(r), G_(std::move(G)), G(G_) { init(); } int depth(int v) const { return dep[v]; } int parent(int v) const { return par[v].to; } int kth_ancestor(int v, int k) const { if (dep[v] < k) return -1; rrep (i, h) { if ((k >> i) & 1) v = dbl[v][i]; } return v; } int kth_pow_of_2_ancestor(int v, int k) const { if (k >= h) return -1; return dbl[v][k]; } int next_vertex(int s, int t) const { assert(s != t); if (dep[s] >= dep[t]) return parent(s); int u = kth_ancestor(t, dep[t] - dep[s] - 1); return parent(u) == s ? u : parent(s); } int kth_next_vertext(int s, int t, int k) const { int l = lca(s, t); int d = dep[s] + dep[t] - 2 * dep[l]; if (d < k) return -1; if (dep[s] - dep[l] >= k) return kth_ancestor(s, k); return kth_ancestor(t, d - k); } Edges<T> path(int s, int t) const { Edges<T> pre, suf; while (dep[s] > dep[t]) pre.push_back(par[s]), s = par[s].to; while (dep[t] > dep[s]) suf.push_back(par[t]), t = par[t].to; while (s != t) { pre.push_back(par[s]), s = par[s].to; suf.push_back(par[t]), t = par[t].to; } rrep (i, suf.size()) pre.emplace_back(suf[i].to, suf[i].from, suf[i].cost, suf[i].idx); return pre; } int lca(int u, int v) const { if (dep[u] > dep[v]) u = kth_ancestor(u, dep[u] - dep[v]); if (dep[u] < dep[v]) v = kth_ancestor(v, dep[v] - dep[u]); if (u == v) return u; rrep (i, h) { if (dbl[u][i] != dbl[v][i]) { u = dbl[u][i]; v = dbl[v][i]; } } return parent(u); } int dist(int u, int v) const { return dep[u] + dep[v] - 2 * dep[lca(u, v)]; } }; /** * @brief DoublingLowestCommonAncestor(ダブリングによるLCA) * @docs docs/graph/tree/DoublingLowestCommonAncestor.md */ #line 4 "main.cpp" using namespace std; int main() { int N, Q; scan >> N >> Q; Graph<int> G(N); rep (N - 1) { int a, b; scan >> a >> b; G.add_edge(a - 1, b - 1); } rep (i, N) sort(all(G[i]), [&](auto a, auto b) { return a.to < b.to; }); vector<vector<int>> g(N); rep (i, N) { for (auto e : G[i]) g[i].push_back(e.to); } DoublingLCA lca(G); auto f = [&](int a, auto) { return a + 1; }; ReRooting<Monoid::Sum<int>, int, decltype(f)> RR(G, f); rep (Q) { int a, b; scan >> a >> b; --a; --b; int d = lca.dist(a, b); if (d % 2 == 1) { prints(0); continue; } int c = lca.kth_next_vertext(a, b, d / 2); int ans = N - RR.get_dp(c, lower_bound(all(g[a]), c) - g[a].begin()) - RR.get_dp(c, lower_bound(all(g[b]), c) - g[b].begin()); prints(ans); } }