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#define PROBLEM "https://judge.yosupo.jp/problem/range_set_range_composite" #include "../../../other/template.hpp" #include "../../../other/monoid2.hpp" #include "../../../math/ModInt.hpp" #include "../../../data-struct/segment/RangeAssignSegmentTree.hpp" using namespace std; using mint = modint998244353; int main() { int n, q; scan >> n >> q; vector<pair<mint, mint>> a(n); scan >> a; RangeAssignSegmentTree<Monoid::Composite<mint>> seg(a); rep (q) { int t; scan >> t; if (t == 0) { int l, r; mint b, c; scan >> l >> r >> b >> c; seg.set(l, r, {b, c}); } else { int l, r, x; scan >> l >> r >> x; auto [b, c] = seg.prod(l, r); prints(b * x + c); } } }
#line 1 "test/yosupo/data_structure/range_set_range_composite.test.cpp" #define PROBLEM "https://judge.yosupo.jp/problem/range_set_range_composite" #line 2 "other/template.hpp" #include <bits/stdc++.h> #line 2 "template/macros.hpp" #line 4 "template/macros.hpp" #ifndef __COUNTER__ #define __COUNTER__ __LINE__ #endif #define OVERLOAD5(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(...) OVERLOAD5(__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(...) OVERLOAD5(__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(...) OVERLOAD5(__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(...) OVERLOAD5(__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) #define rall(v) std::rbegin(v), std::rend(v) #if __cpp_if_constexpr >= 201606L #define IF_CONSTEXPR constexpr #else #define IF_CONSTEXPR #endif #define IO_BUFFER_SIZE (1 << 17) #line 2 "template/alias.hpp" #line 4 "template/alias.hpp" using ll = long long; using uint = unsigned int; using ull = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; 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> struct infinity { static constexpr T value = std::numeric_limits<T>::max() / 2; static constexpr T mvalue = std::numeric_limits<T>::lowest() / 2; static constexpr T max = std::numeric_limits<T>::max(); static constexpr T min = std::numeric_limits<T>::lowest(); }; #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 "template/type_traits.hpp" #line 5 "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(&std::remove_reference<F>::type::operator())>::type; template<class F> using function_result_type = typename function_traits<F>::result_type; template<class F, std::size_t idx> using function_argument_type = typename function_traits<F>::template argument_type<idx>; template<class F> using function_argument_tuple = typename function_traits<F>::argument_tuple; template<class T> using is_signed_int = std::integral_constant<bool, (std::is_integral<T>::value && std::is_signed<T>::value) || std::is_same<T, i128>::value>; template<class T> using is_unsigned_int = std::integral_constant<bool, (std::is_integral<T>::value && std::is_unsigned<T>::value) || std::is_same<T, u128>::value>; template<class T> using is_int = std::integral_constant<bool, is_signed_int<T>::value || is_unsigned_int<T>::value>; template<class T> using make_signed_int = typename std::conditional< std::is_same<T, i128>::value || std::is_same<T, u128>::value, std::common_type<i128>, std::make_signed<T>>::type; template<class T> using make_unsigned_int = typename std::conditional< std::is_same<T, i128>::value || std::is_same<T, u128>::value, std::common_type<u128>, 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, i128>::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, u128>::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 "template/in.hpp" #line 4 "template/in.hpp" #include <unistd.h> #line 8 "template/in.hpp" template<std::size_t buf_size = IO_BUFFER_SIZE, std::size_t decimal_precision = 16> class Scanner { 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 {}; int fd; int idx, sz; bool state; std::array<char, IO_BUFFER_SIZE + 1> buffer; inline char cur() { if (idx == sz) load(); if (idx == sz) { state = false; return '\0'; } return buffer[idx]; } inline void next() { if (idx == sz) load(); if (idx == sz) return; ++idx; } public: inline void load() { int len = sz - idx; if (idx < len) return; std::memcpy(buffer.begin(), buffer.begin() + idx, len); sz = len + read(fd, buffer.data() + len, buf_size - len); buffer[sz] = 0; idx = 0; } Scanner(int fd) : fd(fd), idx(0), sz(0), state(true) {} Scanner(FILE* fp) : fd(fileno(fp)), idx(0), sz(0), state(true) {} inline char scan_char() { if (idx == sz) load(); return idx == sz ? '\0' : buffer[idx++]; } Scanner ignore(int n = 1) { if (idx + n > sz) load(); idx += n; return *this; } inline void discard_space() { if (idx == sz) load(); while (('\t' <= buffer[idx] && buffer[idx] <= '\r') || buffer[idx] == ' ') { if (++idx == sz) load(); } } void scan(char& a) { discard_space(); a = scan_char(); } void scan(bool& a) { discard_space(); a = scan_char() != '0'; } void scan(std::string& a) { discard_space(); a.clear(); while (cur() != '\0' && (buffer[idx] < '\t' || '\r' < buffer[idx]) && buffer[idx] != ' ') { a += scan_char(); } } template<std::size_t len> void scan(std::bitset<len>& a) { discard_space(); if (idx + len > sz) load(); rrep (i, len) a[i] = buffer[idx++] != '0'; } 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 (buffer[idx] == '-') { ++idx; if (idx + 40 > sz && (idx == sz || ('0' <= buffer[sz - 1] && buffer[sz - 1] <= '9'))) load(); a = 0; while ('0' <= buffer[idx] && buffer[idx] <= '9') { a = a * 10 - (buffer[idx++] - '0'); } } else { if (idx + 40 > sz && '0' <= buffer[sz - 1] && buffer[sz - 1] <= '9') load(); a = 0; while ('0' <= buffer[idx] && buffer[idx] <= '9') { a = a * 10 + (buffer[idx++] - '0'); } } } template<class T, typename std::enable_if<is_unsigned_int<T>::value && !has_scan<T>::value>::type* = nullptr> void scan(T& a) { discard_space(); if (idx + 40 > sz && '0' <= buffer[sz - 1] && buffer[sz - 1] <= '9') load(); a = 0; while ('0' <= buffer[idx] && buffer[idx] <= '9') { a = a * 10 + (buffer[idx++] - '0'); } } 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 (cur() == '-') { sgn = true; next(); } a = 0; while ('0' <= cur() && cur() <= '9') { a = a * 10 + cur() - '0'; next(); } if (cur() == '.') { next(); T n = 0, d = 1; for (int i = 0; '0' <= cur() && cur() <= '9' && i < (int)decimal_precision; ++i) { n = n * 10 + cur() - '0'; d *= 10; next(); } while ('0' <= cur() && cur() <= '9') next(); 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) { for (auto&& 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 state; } 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.state = true; return scan; } }; Scanner<> scan(0); #line 2 "template/out.hpp" #line 8 "template/out.hpp" struct NumberToString { char buf[10000][4]; constexpr NumberToString() : buf{} { rep (i, 10000) { int n = i; rrep (j, 4) { buf[i][j] = (char)('0' + n % 10); n /= 10; } } } } constexpr precalc_number_to_string; template<std::size_t buf_size = IO_BUFFER_SIZE, bool debug = false> class Printer { 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 {}; int fd; std::size_t idx; std::array<char, buf_size> buffer; std::size_t decimal_precision; public: inline void print_char(char c) { #if SHIO_LOCAL buffer[idx++] = c; if (idx == buf_size) flush(); #else if IF_CONSTEXPR (!debug) { buffer[idx++] = c; if (idx == buf_size) flush(); } #endif } inline void flush() { idx = write(fd, buffer.begin(), idx); idx = 0; } Printer(int fd) : fd(fd), idx(0), decimal_precision(16) {} Printer(FILE* fp) : fd(fileno(fp)), idx(0), decimal_precision(16) {} ~Printer() { flush(); } 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; } } if (idx + 40 >= buf_size) flush(); static char s[40]; int t = 40; while (a >= 10000) { int i = a % 10000; a /= 10000; t -= 4; std::memcpy(s + t, precalc_number_to_string.buf[i], 4); } if (a >= 1000) { std::memcpy(buffer.begin() + idx, precalc_number_to_string.buf[a], 4); idx += 4; } else if (a >= 100) { std::memcpy(buffer.begin() + idx, precalc_number_to_string.buf[a] + 1, 3); idx += 3; } else if (a >= 10) { std::memcpy(buffer.begin() + idx, precalc_number_to_string.buf[a] + 2, 2); idx += 2; } else { buffer[idx++] = '0' | a; } std::memcpy(buffer.begin() + idx, s + t, 40 - t); idx += 40 - t; } 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<std::size_t buf_size, bool debug> Printer<buf_size, debug>& endl(Printer<buf_size, debug>& pr) { pr.print_char('\n'); pr.flush(); return pr; } template<std::size_t buf_size, bool debug> Printer<buf_size, debug>& flush(Printer<buf_size, 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<> print(1), eprint(2); void prints() { print.print_char('\n'); } 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...); } Printer<IO_BUFFER_SIZE, true> debug(1), edebug(2); void debugs() { debug.print_char('\n'); } 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 "template/bitop.hpp" #line 6 "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 "template/func.hpp" #line 6 "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) { 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) { return a / gcd(a, b) * b; } inline constexpr bool is_prime(ll N) { 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) { 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 "template/util.hpp" #line 6 "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 compressor { private: std::vector<T> dat; Comp cmp; bool sorted = false; public: compressor() : compressor(Comp()) {} compressor(const Comp& cmp) : cmp(cmp) {} compressor(const std::vector<T>& vec, bool f = false, const Comp& cmp = Comp()) : dat(vec), cmp(cmp) { if (f) build(); } compressor(std::vector<T>&& vec, bool f = false, const Comp& cmp = Comp()) : dat(std::move(vec)), cmp(cmp) { if (f) build(); } compressor(std::initializer_list<T> il, bool f = false, const Comp& cmp = Comp()) : dat(all(il)), cmp(cmp) { if (f) build(); } 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]; } 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 { assert(sorted); for (auto&& i : vec) i = get(i); } int size() const { assert(sorted); return dat.size(); } }; #line 2 "other/monoid2.hpp" #line 2 "other/monoid.hpp" #line 4 "other/monoid.hpp" namespace Monoid { template<class M, class = void> class has_value_type : public std::false_type {}; template<class M> class has_value_type<M, decltype((void)std::declval<typename M::value_type>())> : public std::true_type {}; 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, int i = -1> struct Min { using value_type = T; static T max_value; static T op(const T& a, const T& b) { return a < b ? a : b; } static T id() { return max_value; } }; template<class T> struct Min<T, -1> { using value_type = T; static constexpr T op(const T& a, const T& b) { return a < b ? a : b; } static constexpr T id() { return infinity<T>::value; } }; template<class T> struct Min<T, -2> { using value_type = T; static constexpr T op(const T& a, const T& b) { return a < b ? a : b; } static constexpr T id() { return infinity<T>::max; } }; template<class T, int id> T Min<T, id>::max_value; template<class T, int i = -1> struct Max { using value_type = T; static T min_value; static T op(const T& a, const T& b) { return a > b ? a : b; } static T id() { return min_value; } }; template<class T> struct Max<T, -1> { using value_type = T; static constexpr T op(const T& a, const T& b) { return a > b ? a : b; } static constexpr T id() { return infinity<T>::mvalue; } }; template<class T> struct Max<T, -2> { using value_type = T; static constexpr T op(const T& a, const T& b) { return a > b ? a : b; } static constexpr T id() { return infinity<T>::min; } }; template<class T> struct Assign { using value_type = T; static constexpr T op(const T&, const T& b) { return b; } }; template<class T, int id = -1> struct AssignMin { using M = Min<T, id>; using E = Assign<T>; static constexpr T op(const T& a, const T&) { return a; } }; template<class T, int id = -1> struct AssignMax { using M = Max<T, id>; 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, int id = -1> struct AddMin { using M = Min<T, id>; using E = Sum<T>; static constexpr T op(const T& a, const T& b) { return b + a; } }; template<class T, int id = -1> struct AddMax { using M = Max<T, id>; 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, int id = -1> struct ChminMin { using M = Min<T, id>; using E = Min<T>; static constexpr T op(const T& a, const T& b) { return std::min(b, a); } }; template<class T, int id = -1> struct ChminMax { using M = Max<T, id>; using E = Min<T>; static constexpr T op(const T& a, const T& b) { return std::min(b, a); } }; template<class T, int id = -1> struct ChmaxMin { using M = Min<T, id>; using E = Max<T>; static constexpr T op(const T& a, const T& b) { return std::max(b, a); } }; template<class T, int id = -1> struct ChmaxMax { using M = Max<T, id>; 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 inv(const value_type& a, const value_type& b) { static_assert(has_inv<M>::value, "inv is not defined"); return M::inv(b, a); } 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 E_> struct MakeAction { 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 "other/monoid2.hpp" namespace Monoid { template<class T> struct Product { using value_type = T; static T op(const T& a, const T& b) { return a * b; } static T id() { return T{1}; } static T inv(const T& a, const T& b) { return a / b; } static T get_inv(const T& a) { return T{1} / a; } }; template<class T> struct Composite { using value_type = std::pair<T, T>; static value_type op(const value_type& a, const value_type& b) { return {b.first * a.first, b.first * a.second + b.second}; } static value_type id() { return {T{1}, T{0}}; } static value_type get_inv(const value_type& a) { return {T{1} / a.first, -a.second / a.first}; } static value_type inv(const value_type& a, const value_type& b) { return op(a, get_inv(b)); } }; template<class T> struct GCD { using value_type = T; static T op(T a, T b) { return gcd(a, b); } static T id() { return 0; } }; template<class T> struct LCM { using value_type = T; static T op(T a, T b) { return lcm(a, b); } static T id() { return 1; } }; template<class T> struct AddAssign { using value_type = std::pair<bool, T>; // false: add, true: assign static value_type op(const value_type& a, const value_type& b) { if (b.first) return b; return {a.first, a.second + b.second}; } static value_type id() { return {false, T{0}}; } }; template<class T, T max_value = infinity<T>::max> struct MinCount { using value_type = std::pair<T, ll>; static value_type op(const value_type& a, const value_type& b) { if (a.first < b.first) return a; if (a.first > b.first) return b; return {a.first, a.second + b.second}; } static value_type id() { return {max_value, 0}; } }; template<class T> struct AffineSum { using M = Sum<T>; using E = Composite<T>; using U = typename E::value_type; static T mul_op(const U& a, int b, const T& c) { return a.first * c + a.second * b; } }; template<class T> struct AddAssignSum { using M = Sum<T>; using E = AddAssign<T>; using U = typename E::value_type; static T mul_op(const U& a, int b, const T& c) { if (a.first) return a.second * b; return c + a.second * b; } }; template<class T> struct AddMinCount { using M = MinCount<T>; using E = Sum<T>; using U = typename M::value_type; static U op(const T& a, const U& b) { return {a + b.first, b.second}; } }; } // namespace Monoid #line 2 "math/ModInt.hpp" #line 4 "math/ModInt.hpp" template<class T, T mod> class StaticModInt { static_assert(std::is_integral<T>::value, "T must be integral"); static_assert(std::is_unsigned<T>::value, "T must be unsigned"); static_assert(mod > 0, "mod must be positive"); static_assert(mod <= std::numeric_limits<T>::max() / 2, "mod * 2 must be less than or equal to T::max()"); private: using large_t = typename double_size_uint<T>::type; using signed_t = typename std::make_signed<T>::type; T val; static constexpr unsigned int inv1000000007[] = { 0, 1, 500000004, 333333336, 250000002, 400000003, 166666668, 142857144, 125000001, 111111112, 700000005}; static constexpr unsigned int inv998244353[] = { 0, 1, 499122177, 332748118, 748683265, 598946612, 166374059, 855638017, 873463809, 443664157, 299473306}; static constexpr ll mod_inv(ll a) { ll b = mod; ll x = 1, u = 0; ll t = 0, tmp = 0; while (b) { t = a / b; tmp = (a - t * b); a = b; b = tmp; tmp = (x - t * u); x = u; u = tmp; } if (x < 0) x += mod; return x; } public: constexpr StaticModInt() : val(0) {} template<class U, typename std::enable_if<std::is_integral<U>::value && std::is_signed<U>::value>::type* = nullptr> constexpr StaticModInt(U v) : val{} { v %= static_cast<signed_t>(mod); if (v < 0) v += static_cast<signed_t>(mod); val = static_cast<T>(v); } template<class U, typename std::enable_if< std::is_integral<U>::value && std::is_unsigned<U>::value>::type* = nullptr> constexpr StaticModInt(U v) : val(v % mod) {} constexpr T get() const { return val; } static constexpr T get_mod() { return mod; } static constexpr StaticModInt raw(T v) { StaticModInt res; res.val = v; return res; } constexpr StaticModInt inv() const { if IF_CONSTEXPR (mod == 1000000007) { if (val <= 10) return inv1000000007[val]; } else if IF_CONSTEXPR (mod == 998244353) { if (val <= 10) return inv998244353[val]; } return mod_inv(val); } constexpr StaticModInt& operator++() { ++val; if (val == mod) val = 0; return *this; } constexpr StaticModInt operator++(int) { StaticModInt res = *this; ++*this; return res; } constexpr StaticModInt& operator--() { if (val == 0) val = mod; --val; return *this; } constexpr StaticModInt operator--(int) { StaticModInt res = *this; --*this; return res; } constexpr StaticModInt& operator+=(const StaticModInt& other) { val += other.val; if (val >= mod) val -= mod; return *this; } constexpr StaticModInt& operator-=(const StaticModInt& other) { if (val < other.val) val += mod; val -= other.val; return *this; } constexpr StaticModInt& operator*=(const StaticModInt& other) { large_t a = val; a *= other.val; a %= mod; val = a; return *this; } constexpr StaticModInt& operator/=(const StaticModInt& other) { *this *= other.inv(); return *this; } friend constexpr StaticModInt operator+(const StaticModInt& lhs, const StaticModInt& rhs) { return StaticModInt(lhs) += rhs; } friend constexpr StaticModInt operator-(const StaticModInt& lhs, const StaticModInt& rhs) { return StaticModInt(lhs) -= rhs; } friend constexpr StaticModInt operator*(const StaticModInt& lhs, const StaticModInt& rhs) { return StaticModInt(lhs) *= rhs; } friend constexpr StaticModInt operator/(const StaticModInt& lhs, const StaticModInt& rhs) { return StaticModInt(lhs) /= rhs; } constexpr StaticModInt operator+() const { return StaticModInt(*this); } constexpr StaticModInt operator-() const { return StaticModInt() - *this; } friend constexpr bool operator==(const StaticModInt& lhs, const StaticModInt& rhs) { return lhs.val == rhs.val; } friend constexpr bool operator!=(const StaticModInt& lhs, const StaticModInt& rhs) { return lhs.val != rhs.val; } constexpr StaticModInt pow(ll a) const { StaticModInt v = *this, res = 1; while (a) { if (a & 1) res *= v; a >>= 1; v *= v; } return res; } template<class Pr> void print(Pr& a) const { a.print(val); } template<class Pr> void debug(Pr& a) const { a.print(val); } template<class Sc> void scan(Sc& a) { ll v; a.scan(v); *this = v; } }; #if __cplusplus < 201703L template<class T, T mod> constexpr unsigned int StaticModInt<T, mod>::inv1000000007[]; template<class T, T mod> constexpr unsigned int StaticModInt<T, mod>::inv998244353[]; #endif template<unsigned int p> using static_modint = StaticModInt<unsigned int, p>; using modint1000000007 = static_modint<1000000007>; using modint998244353 = static_modint<998244353>; template<class T, int id> class DynamicModInt { static_assert(std::is_integral<T>::value, "T must be integral"); static_assert(std::is_unsigned<T>::value, "T must be unsigned"); private: using large_t = typename double_size_uint<T>::type; using signed_t = typename std::make_signed<T>::type; T val; static T mod; public: constexpr DynamicModInt() : val(0) {} template<class U, typename std::enable_if<std::is_integral<U>::value && std::is_signed<U>::value>::type* = nullptr> constexpr DynamicModInt(U v) : val{} { v %= static_cast<signed_t>(mod); if (v < 0) v += static_cast<signed_t>(mod); val = static_cast<T>(v); } template<class U, typename std::enable_if< std::is_integral<U>::value && std::is_unsigned<U>::value>::type* = nullptr> constexpr DynamicModInt(U v) : val(v % mod) {} T get() const { return val; } static T get_mod() { return mod; } static void set_mod(T v) { assert(v > 0); assert(v <= std::numeric_limits<T>::max() / 2); mod = v; } static DynamicModInt raw(T v) { DynamicModInt res; res.val = v; return res; } DynamicModInt inv() const { return mod_inv(val, mod); } DynamicModInt& operator++() { ++val; if (val == mod) val = 0; return *this; } DynamicModInt operator++(int) { DynamicModInt res = *this; ++*this; return res; } DynamicModInt& operator--() { if (val == 0) val = mod; --val; return *this; } DynamicModInt operator--(int) { DynamicModInt res = *this; --*this; return res; } DynamicModInt& operator+=(const DynamicModInt& other) { val += other.val; if (val >= mod) val -= mod; return *this; } DynamicModInt& operator-=(const DynamicModInt& other) { if (val < other.val) val += mod; val -= other.val; return *this; } DynamicModInt& operator*=(const DynamicModInt& other) { large_t a = val; a *= other.val; a %= mod; val = a; return *this; } DynamicModInt& operator/=(const DynamicModInt& other) { *this *= other.inv(); return *this; } friend DynamicModInt operator+(const DynamicModInt& lhs, const DynamicModInt& rhs) { return DynamicModInt(lhs) += rhs; } friend DynamicModInt operator-(const DynamicModInt& lhs, const DynamicModInt& rhs) { return DynamicModInt(lhs) -= rhs; } friend DynamicModInt operator*(const DynamicModInt& lhs, const DynamicModInt& rhs) { return DynamicModInt(lhs) *= rhs; } friend DynamicModInt operator/(const DynamicModInt& lhs, const DynamicModInt& rhs) { return DynamicModInt(lhs) /= rhs; } DynamicModInt operator+() const { return DynamicModInt(*this); } DynamicModInt operator-() const { return DynamicModInt() - *this; } friend bool operator==(const DynamicModInt& lhs, const DynamicModInt& rhs) { return lhs.val == rhs.val; } friend bool operator!=(const DynamicModInt& lhs, const DynamicModInt& rhs) { return lhs.val != rhs.val; } DynamicModInt pow(ll a) const { DynamicModInt v = *this, res = 1; while (a) { if (a & 1) res *= v; a >>= 1; v *= v; } return res; } template<class Pr> void print(Pr& a) const { a.print(val); } template<class Pr> void debug(Pr& a) const { a.print(val); } template<class Sc> void scan(Sc& a) { ll v; a.scan(v); *this = v; } }; template<class T, int id> T DynamicModInt<T, id>::mod = 998244353; template<int id> using dynamic_modint = DynamicModInt<unsigned int, id>; using modint = dynamic_modint<-1>; /** * @brief ModInt * @docs docs/math/ModInt.md */ #line 2 "data-struct/segment/RangeAssignSegmentTree.hpp" #line 2 "data-struct/segment/LazySegmentTree.hpp" #line 5 "data-struct/segment/LazySegmentTree.hpp" template<class A> class LazySegmentTree { static_assert(Monoid::is_action<A>::value, "A must be action"); private: using M = typename A::M; using E = typename A::E; using T = typename M::value_type; using U = typename E::value_type; int h, n, 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, const U& x, int d) { data[k] = Aop(x, data[k], d); if (k < n) { if (lazyflag[k]) { lazy[k] = E::op(lazy[k], x); } else { lazy[k] = x; lazyflag[k] = true; } } } void eval(int k, int d) { if (lazyflag[k]) { all_apply(k << 1, lazy[k], d >> 1); all_apply(k << 1 ^ 1, lazy[k], d >> 1); lazyflag[k] = false; } } void calc(int k) { data[k] = M::op(data[k << 1], data[k << 1 ^ 1]); } public: LazySegmentTree() : LazySegmentTree(0) {} LazySegmentTree(int n) : LazySegmentTree(std::vector<T>(n, M::id())) {} LazySegmentTree(int n, const T& v) : LazySegmentTree(std::vector<T>(n, v)) {} LazySegmentTree(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.assign(n << 1, M::id()); rep (i, ori) data[n + i] = v[i]; rrep (i, n, 1) calc(i); lazy.resize(n); lazyflag.assign(n, false); } void eval_all() { rep (i, h) { rep (j, 1 << i) eval((1 << i) + j, 1 << (h - i)); } } T prod(int l, int r) { assert(0 <= l && l <= r && r <= ori); if (l == r) return M::id(); l += n, r += n; rreps (i, h) { bool seen = false; if (((l >> i) << i) != l) eval(l >> i, 1 << i), seen = true; if (((r >> i) << i) != r) eval((r - 1) >> i, 1 << i), seen = true; if (!seen) break; } T lsm = M::id(), rsm = M::id(); while (l != r) { if (l & 1) lsm = M::op(lsm, data[l++]); if (r & 1) rsm = M::op(data[--r], rsm); l >>= 1, r >>= 1; } return M::op(lsm, rsm); } T get(int k) { assert(0 <= k && k < ori); k += n; rreps (i, h) eval(k >> i, 1 << i); return data[k]; } T all_prod() const { return data[1]; } template<class Upd> void update(int k, const Upd& upd) { assert(0 <= k && k < ori); k += n; rreps (i, h) eval(k >> i, 1 << i); data[k] = upd(data[k]); reps (i, h) calc(k >> i); } void set(int k, const T& x) { update(k, [&](const T&) -> T { return x; }); } void apply(int k, const U& x) { update(k, [&](const T& a) -> T { return A::op(x, a); }); } void apply(int l, int r, const U& x) { assert(0 <= l && l <= r && r <= ori); if (l == r) return; l += n, r += n; int lst = h + 1; rreps (i, h) { if (((l >> i) << i) != l) eval(l >> i, 1 << i), lst = i; if (((r >> i) << i) != r) eval((r - 1) >> i, 1 << i), lst = i; if (lst != i) break; } for (int l2 = l, r2 = r, d = 1; l2 != r2; l2 >>= 1, r2 >>= 1, d <<= 1) { if (l2 & 1) all_apply(l2++, x, d); if (r2 & 1) all_apply(--r2, x, d); } rep (i, lst, h + 1) { if (((l >> i) << i) != l) calc(l >> i); if (((r >> i) << i) != r) calc((r - 1) >> i); } } template<class C> int max_right(int l, const C& cond) { assert(0 <= l && l <= ori); assert(cond(M::id())); if (l == ori) return ori; l += n; rreps (i, h) { if (((l >> i) << i) != l) eval(l >> i, 1 << i); else break; } T sm = M::id(); int d = 1; do { while ((l & 1) == 0) l >>= 1, d <<= 1; if (!cond(M::op(sm, data[l]))) { while (l < n) { eval(l, d); l <<= 1; d >>= 1; if (cond(M::op(sm, data[l]))) sm = M::op(sm, data[l++]); } return l - n; } sm = M::op(sm, data[l++]); } while ((l & -l) != l); return ori; } template<class C> int min_left(int r, const C& cond) { assert(0 <= r && r <= ori); assert(cond(M::id())); if (r == 0) return 0; r += n; rreps (i, h) { if (((r >> i) << i) != r) eval((r - 1) >> i, 1 << i); else break; } T sm = M::id(); int d = 1; do { --r; while ((r & 1) && r > 1) r >>= 1, d <<= 1; if (!cond(M::op(data[r], sm))) { while (r < n) { eval(r, d); r = r << 1 ^ 1; d >>= 1; if (cond(M::op(data[r], sm))) sm = M::op(data[r--], sm); } return r + 1 - n; } sm = M::op(data[r], sm); } while ((r & -r) != r); return 0; } }; template<class T, int id = -1> using RangeUpdateQueryRangeMinimumQuery = LazySegmentTree<Monoid::AssignMin<T, id>>; template<class T, int id = -1> using RangeUpdateQueryRangeMaximumQuery = LazySegmentTree<Monoid::AssignMax<T, id>>; template<class T> using RangeUpdateQueryRangeSumQuery = LazySegmentTree<Monoid::AssignSum<T>>; template<class T, int id = -1> using RangeAddQueryRangeMinimumQuery = LazySegmentTree<Monoid::AddMin<T, id>>; template<class T, int id = -1> using RangeAddQueryRangeMaximumQuery = LazySegmentTree<Monoid::AddMax<T, id>>; template<class T> using RangeAddQueryRangeSumQuery = LazySegmentTree<Monoid::AddSum<T>>; template<class T, int id = -1> using RangeChminQueryRangeMinimumQuery = LazySegmentTree<Monoid::ChminMin<T, id>>; template<class T, int id = -1> using RangeChminQueryRangeMaximumQuery = LazySegmentTree<Monoid::ChminMax<T, id>>; template<class T, int id = -1> using RangeChmaxQueryRangeMinimumQuery = LazySegmentTree<Monoid::ChmaxMin<T, id>>; template<class T, int id = -1> using RangeChmaxQueryRangeMaximumQuery = LazySegmentTree<Monoid::ChmaxMax<T, id>>; /** * @brief LazySegmentTree(遅延セグメント木) * @docs docs/data-struct/segment/LazySegmentTree.md */ #line 6 "data-struct/segment/RangeAssignSegmentTree.hpp" template<class M_> class RangeAssignSegmentTree { static_assert(Monoid::is_monoid<M_>::value, "M must be monoid"); private: using T = typename M_::value_type; struct Act { using M = M_; using E = Monoid::Assign<T*>; static T mul_op(T* const& a, int b, const T&) { return *(a + bitop::ceil_log2(b)); } }; int n; LazySegmentTree<Act> seg; std::vector<T> memo; int cnt = 0; public: RangeAssignSegmentTree() : RangeAssignSegmentTree(0) {} RangeAssignSegmentTree(int n) : RangeAssignSegmentTree(std::vector<T>(n, M_::id())) {} RangeAssignSegmentTree(int n, const T& v) : RangeAssignSegmentTree(std::vector<T>(n, v)) {} RangeAssignSegmentTree(const std::vector<T>& v) : n(v.size()), seg(v), memo(n) {} template<class Upd> void update(int k, const Upd& upd) { seg.update(k, upd); } void set(int l, int r, const T& x) { assert(0 <= l && l <= r && r <= n); int s = r - l; if (s == 0) return; int p = bitop::msb(s) + 1; if (cnt + p > n) { cnt = 0; seg.eval_all(); } memo[cnt] = x; rep (i, p - 1) memo[cnt + i + 1] = M_::op(memo[cnt + i], memo[cnt + i]); seg.apply(l, r, memo.data() + cnt); cnt += p; } void set(int k, const T& x) { seg.set(k, x); } T prod(int l, int r) { return seg.prod(l, r); } T get(int k) { return seg.get(k); } T all_prod() { return seg.all_prod(); } template<class F> int max_right(int l, F f) { return seg.max_right(l, f); } template<class F> int min_left(int r, F f) { return seg.min_left(r, f); } }; /** * @brief RangeAssignSegmentTree * @docs docs/data-struct/segment/RangeAssignSegmentTree.md * @see https://noshi91.hatenablog.com/entry/2019/10/05/203704 */ #line 6 "test/yosupo/data_structure/range_set_range_composite.test.cpp" using namespace std; using mint = modint998244353; int main() { int n, q; scan >> n >> q; vector<pair<mint, mint>> a(n); scan >> a; RangeAssignSegmentTree<Monoid::Composite<mint>> seg(a); rep (q) { int t; scan >> t; if (t == 0) { int l, r; mint b, c; scan >> l >> r >> b >> c; seg.set(l, r, {b, c}); } else { int l, r, x; scan >> l >> r >> x; auto [b, c] = seg.prod(l, r); prints(b * x + c); } } }