結果
| 問題 | No.2395 区間二次変換一点取得 |
| ユーザー |
 shiomusubi496
|
| 提出日時 | 2023-07-28 21:45:10 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 52,301 bytes |
| コンパイル時間 | 3,081 ms |
| コンパイル使用メモリ | 233,856 KB |
| 実行使用メモリ | 72,192 KB |
| 最終ジャッジ日時 | 2024-10-06 18:14:49 |
| 合計ジャッジ時間 | 7,672 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge5 |
（要ログイン）
テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 2 ms
10,496 KB |
| testcase_01 | AC | 2 ms
5,248 KB |
| testcase_02 | AC | 2 ms
5,248 KB |
| testcase_03 | WA | - |
| testcase_04 | WA | - |
| testcase_05 | WA | - |
| testcase_06 | WA | - |
| testcase_07 | WA | - |
| testcase_08 | WA | - |
| testcase_09 | WA | - |
| testcase_10 | WA | - |
| testcase_11 | WA | - |
| testcase_12 | WA | - |
| testcase_13 | TLE | - |
| testcase_14 | -- | - |
| testcase_15 | -- | - |
| testcase_16 | -- | - |
| testcase_17 | -- | - |
| testcase_18 | -- | - |
| testcase_19 | -- | - |
ソースコード
#line 2 "library/other/template.hpp"
#include <bits/stdc++.h>
#line 2 "library/template/macros.hpp"
#line 4 "library/template/macros.hpp"
#ifndef __COUNTER__
#define __COUNTER__ __LINE__
#endif
#define REP_SELECTER(a, b, c, d, e, ...) e
#define REP1_0(b, c) REP1_1(b, c)
#define REP1_1(b, c) \
for (ll REP_COUNTER_##c = 0; REP_COUNTER_##c < (ll)(b); ++REP_COUNTER_##c)
#define REP1(b) REP1_0(b, __COUNTER__)
#define REP2(i, b) for (ll i = 0; i < (ll)(b); ++i)
#define REP3(i, a, b) for (ll i = (ll)(a); i < (ll)(b); ++i)
#define REP4(i, a, b, c) for (ll i = (ll)(a); i < (ll)(b); i += (ll)(c))
#define rep(...) REP_SELECTER(__VA_ARGS__, REP4, REP3, REP2, REP1)(__VA_ARGS__)
#define RREP2(i, a) for (ll i = (ll)(a)-1; i >= 0; --i)
#define RREP3(i, a, b) for (ll i = (ll)(a)-1; i >= (ll)(b); --i)
#define RREP4(i, a, b, c) for (ll i = (ll)(a)-1; i >= (ll)(b); i -= (ll)(c))
#define rrep(...) REP_SELECTER(__VA_ARGS__, RREP4, RREP3, RREP2)(__VA_ARGS__)
#define REPS2(i, b) for (ll i = 1; i <= (ll)(b); ++i)
#define REPS3(i, a, b) for (ll i = (ll)(a) + 1; i <= (ll)(b); ++i)
#define REPS4(i, a, b, c) for (ll i = (ll)(a) + 1; i <= (ll)(b); i += (ll)(c))
#define reps(...) REP_SELECTER(__VA_ARGS__, REPS4, REPS3, REPS2)(__VA_ARGS__)
#define RREPS2(i, a) for (ll i = (ll)(a); i > 0; --i)
#define RREPS3(i, a, b) for (ll i = (ll)(a); i > (ll)(b); --i)
#define RREPS4(i, a, b, c) for (ll i = (ll)(a); i > (ll)(b); i -= (ll)(c))
#define rreps(...) \
REP_SELECTER(__VA_ARGS__, RREPS4, RREPS3, RREPS2)(__VA_ARGS__)
#define each_for(...) for (auto&& __VA_ARGS__)
#define each_const(...) for (const auto& __VA_ARGS__)
#define all(v) std::begin(v), std::end(v)
#if __cplusplus >= 201402L
#define rall(v) std::rbegin(v), std::rend(v)
#else
#define rall(v) v.rbegin(), v.rend()
#endif
#if __cpp_constexpr >= 201304L
#define CONSTEXPR constexpr
#else
#define CONSTEXPR
#endif
#if __cpp_if_constexpr >= 201606L
#define IF_CONSTEXPR constexpr
#else
#define IF_CONSTEXPR
#endif
#define IO_BUFFER_SIZE 2048
#line 2 "library/template/alias.hpp"
#line 4 "library/template/alias.hpp"
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using PLL = std::pair<ll, ll>;
template<class T>
using prique = std::priority_queue<T, std::vector<T>, std::greater<T>>;
template<class T> class infinity {
public:
static constexpr T value = std::numeric_limits<T>::max() / 2;
static constexpr T mvalue = std::numeric_limits<T>::min() / 2;
static constexpr T max = std::numeric_limits<T>::max();
static constexpr T min = std::numeric_limits<T>::min();
};
#if __cplusplus <= 201402L
template<class T> constexpr T infinity<T>::value;
template<class T> constexpr T infinity<T>::mvalue;
template<class T> constexpr T infinity<T>::max;
template<class T> constexpr T infinity<T>::min;
#endif
#if __cpp_variable_templates >= 201304L
template<class T> constexpr T INF = infinity<T>::value;
#endif
constexpr ll inf = infinity<ll>::value;
constexpr ld EPS = 1e-8;
constexpr ld PI = 3.1415926535897932384626;
#line 2 "library/template/type_traits.hpp"
#line 5 "library/template/type_traits.hpp"
template<class T, class... Args> struct function_traits_impl {
using result_type = T;
template<std::size_t idx>
using argument_type =
typename std::tuple_element<idx, std::tuple<Args...>>::type;
using argument_tuple = std::tuple<Args...>;
static constexpr std::size_t arg_size() { return sizeof...(Args); }
};
template<class> struct function_traits_helper;
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...)> {
using type = function_traits_impl<Res, Args...>;
};
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...)&> {
using type = function_traits_impl<Res, Args...>;
};
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...) const> {
using type = function_traits_impl<Res, Args...>;
};
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...) const&> {
using type = function_traits_impl<Res, Args...>;
};
#if __cpp_noexcept_function_type >= 201510L
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...) noexcept> {
using type = function_traits_impl<Res, Args...>;
};
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...)& noexcept> {
using type = function_traits_impl<Res, Args...>;
};
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...) const noexcept> {
using type = function_traits_impl<Res, Args...>;
};
template<class Res, class Tp, class... Args>
struct function_traits_helper<Res (Tp::*)(Args...) const& noexcept> {
using type = function_traits_impl<Res, Args...>;
};
#endif
template<class F>
using function_traits =
typename function_traits_helper<decltype(&F::operator())>::type;
template<class T>
using is_signed_int =
std::disjunction<std::conjunction<std::is_integral<T>, std::is_signed<T>>,
std::is_same<T, __int128_t>>;
template<class T>
using is_unsigned_int =
std::disjunction<std::conjunction<std::is_integral<T>, std::is_unsigned<T>>,
std::is_same<T, __uint128_t>>;
template<class T>
using is_int = std::disjunction<is_signed_int<T>, is_unsigned_int<T>>;
template<class T>
using make_signed_int = typename std::conditional<
std::is_same<T, __int128_t>::value || std::is_same<T, __uint128_t>::value,
std::common_type<__int128_t>, std::make_signed<T>>::type;
template<class T>
using make_unsigned_int = typename std::conditional<
std::is_same<T, __int128_t>::value || std::is_same<T, __uint128_t>::value,
std::common_type<__uint128_t>, std::make_unsigned<T>>::type;
template<class T, class = void> struct is_range : std::false_type {};
template<class T>
struct is_range<
T,
decltype(all(std::declval<typename std::add_lvalue_reference<T>::type>()),
(void)0)> : std::true_type {};
template<class T, bool = is_range<T>::value>
struct range_rank : std::integral_constant<std::size_t, 0> {};
template<class T>
struct range_rank<T, true>
: std::integral_constant<std::size_t,
range_rank<typename T::value_type>::value + 1> {};
template<std::size_t size> struct int_least {
static_assert(size <= 128, "size must be less than or equal to 128");
using type = typename std::conditional<
size <= 8, std::int_least8_t,
typename std::conditional<
size <= 16, std::int_least16_t,
typename std::conditional<
size <= 32, std::int_least32_t,
typename std::conditional<size <= 64, std::int_least64_t,
__int128_t>::type>::type>::type>::
type;
};
template<std::size_t size> using int_least_t = typename int_least<size>::type;
template<std::size_t size> struct uint_least {
static_assert(size <= 128, "size must be less than or equal to 128");
using type = typename std::conditional<
size <= 8, std::uint_least8_t,
typename std::conditional<
size <= 16, std::uint_least16_t,
typename std::conditional<
size <= 32, std::uint_least32_t,
typename std::conditional<size <= 64, std::uint_least64_t,
__uint128_t>::type>::type>::type>::
type;
};
template<std::size_t size> using uint_least_t = typename uint_least<size>::type;
template<class T>
using double_size_int = int_least<std::numeric_limits<T>::digits * 2 + 1>;
template<class T> using double_size_int_t = typename double_size_int<T>::type;
template<class T>
using double_size_uint = uint_least<std::numeric_limits<T>::digits * 2>;
template<class T> using double_size_uint_t = typename double_size_uint<T>::type;
template<class T>
using double_size =
typename std::conditional<is_signed_int<T>::value, double_size_int<T>,
double_size_uint<T>>::type;
template<class T> using double_size_t = typename double_size<T>::type;
#line 2 "library/template/in.hpp"
#line 4 "library/template/in.hpp"
#include <unistd.h>
#line 8 "library/template/in.hpp"
template<std::size_t buf_size = IO_BUFFER_SIZE> class Reader {
private:
int fd, idx, sz;
bool state;
std::array<char, buf_size> buffer;
inline void read_buf() {
sz = read(fd, buffer.begin(), buf_size);
idx = 0;
if (sz < 0) throw std::runtime_error("input failed");
}
public:
static constexpr int get_buf_size() { return buf_size; }
Reader() noexcept : fd(0), idx(0), sz(0), state(true) {}
Reader(int fd) noexcept : fd(fd), idx(0), sz(0), state(true) {}
Reader(FILE* fp) noexcept : fd(fileno(fp)), idx(0), sz(0), state(true) {}
class iterator {
private:
Reader* reader;
public:
using difference_type = void;
using value_type = void;
using pointer = void;
using reference = void;
using iterator_category = std::input_iterator_tag;
iterator() : reader(nullptr) {}
explicit iterator(Reader& reader) : reader(&reader) {}
explicit iterator(Reader* reader) : reader(reader) {}
iterator& operator++() {
if (reader->idx == reader->sz) reader->read_buf();
++reader->idx;
return *this;
}
iterator operator++(int) {
iterator res = *this;
++(*this);
return res;
}
char operator*() const {
if (reader->idx == reader->sz) reader->read_buf();
if (reader->idx < reader->sz) return reader->buffer[reader->idx];
reader->state = false;
return '\0';
}
bool rdstate() const { return reader->state; }
void setstate(bool state) { reader->state = state; }
};
iterator begin() noexcept { return iterator(this); }
};
Reader<> reader(0);
template<class Iterator, std::size_t decimal_precision = 16> class Scanner {
public:
using iterator_type = Iterator;
private:
template<class, class = void> struct has_scan : std::false_type {};
template<class T>
struct has_scan<
T, decltype(std::declval<T>().scan(std::declval<Scanner&>()), (void)0)>
: std::true_type {};
Iterator itr;
public:
Scanner() = default;
Scanner(const Iterator& itr) : itr(itr) {}
char scan_char() {
char c = *itr;
++itr;
return c;
}
Scanner ignore(int n = 1) {
rep (n) ++itr;
return *this;
}
inline void discard_space() {
while (('\t' <= *itr && *itr <= '\r') || *itr == ' ') ++itr;
}
void scan(char& a) {
discard_space();
a = *itr;
++itr;
}
void scan(bool& a) {
discard_space();
a = *itr != '0';
++itr;
}
void scan(std::string& a) {
discard_space();
a.clear();
while ((*itr < '\t' || '\r' < *itr) && *itr != ' ' && *itr != '\0') {
a += *itr;
++itr;
}
}
template<std::size_t len> void scan(std::bitset<len>& a) {
discard_space();
rrep (i, len) {
a[i] = *itr != '0';
++itr;
}
}
template<class T,
typename std::enable_if<is_signed_int<T>::value &&
!has_scan<T>::value>::type* = nullptr>
void scan(T& a) {
discard_space();
if (*itr == '-') {
++itr;
a = 0;
while ('0' <= *itr && *itr <= '9') {
a = a * 10 - (*itr - '0');
++itr;
}
}
else {
a = 0;
while ('0' <= *itr && *itr <= '9') {
a = a * 10 + (*itr - '0');
++itr;
}
}
}
template<class T,
typename std::enable_if<is_unsigned_int<T>::value &&
!has_scan<T>::value>::type* = nullptr>
void scan(T& a) {
discard_space();
a = 0;
while ('0' <= *itr && *itr <= '9') {
a = a * 10 + *itr - '0';
++itr;
}
}
template<class T,
typename std::enable_if<std::is_floating_point<T>::value &&
!has_scan<T>::value>::type* = nullptr>
void scan(T& a) {
discard_space();
bool sgn = false;
if (*itr == '-') {
sgn = true;
++itr;
}
a = 0;
while ('0' <= *itr && *itr <= '9') {
a = a * 10 + *itr - '0';
++itr;
}
if (*itr == '.') {
++itr;
T n = 0, d = 1;
for (int i = 0;
'0' <= *itr && *itr <= '9' && i < (int)decimal_precision;
++i) {
n = n * 10 + *itr - '0';
d *= 10;
++itr;
}
while ('0' <= *itr && *itr <= '9') ++itr;
a += n / d;
}
if (sgn) a = -a;
}
private:
template<std::size_t i, class... Args> void scan(std::tuple<Args...>& a) {
if IF_CONSTEXPR (i < sizeof...(Args)) {
scan(std::get<i>(a));
scan<i + 1, Args...>(a);
}
}
public:
template<class... Args> void scan(std::tuple<Args...>& a) {
scan<0, Args...>(a);
}
template<class T, class U> void scan(std::pair<T, U>& a) {
scan(a.first);
scan(a.second);
}
template<class T,
typename std::enable_if<is_range<T>::value &&
!has_scan<T>::value>::type* = nullptr>
void scan(T& a) {
each_for (i : a) scan(i);
}
template<class T,
typename std::enable_if<has_scan<T>::value>::type* = nullptr>
void scan(T& a) {
a.scan(*this);
}
void operator()() {}
template<class Head, class... Args>
void operator()(Head& head, Args&... args) {
scan(head);
operator()(args...);
}
template<class T> Scanner& operator>>(T& a) {
scan(a);
return *this;
}
explicit operator bool() const { return itr.rdstate(); }
friend Scanner& getline(Scanner& scan, std::string& a) {
a.erase();
char c;
if ((c = scan.scan_char()) == '\n' || c == '\0') return scan;
a += c;
while ((c = scan.scan_char()) != '\n' && c != '\0') a += c;
scan.itr.setstate(true);
return scan;
}
};
Scanner<Reader<>::iterator> scan(reader.begin());
#line 2 "library/template/out.hpp"
#line 8 "library/template/out.hpp"
template<std::size_t buf_size = IO_BUFFER_SIZE> class Writer {
private:
int fd, idx;
std::array<char, buf_size> buffer;
inline void write_buf() {
int num = write(fd, buffer.begin(), idx);
idx = 0;
if (num < 0) throw std::runtime_error("output failed");
}
public:
Writer() noexcept : fd(1), idx(0) {}
Writer(int fd) noexcept : fd(fd), idx(0) {}
Writer(FILE* fp) noexcept : fd(fileno(fp)), idx(0) {}
~Writer() { write_buf(); }
class iterator {
private:
Writer* writer;
public:
using difference_type = void;
using value_type = void;
using pointer = void;
using reference = void;
using iterator_category = std::output_iterator_tag;
iterator() noexcept : writer(nullptr) {}
explicit iterator(Writer& writer) noexcept : writer(&writer) {}
explicit iterator(Writer* writer) noexcept : writer(writer) {}
iterator& operator++() {
++writer->idx;
if (writer->idx == buf_size) writer->write_buf();
return *this;
}
iterator operator++(int) {
iterator res = *this;
++(*this);
return res;
}
char& operator*() const { return writer->buffer[writer->idx]; }
void flush() const { writer->write_buf(); }
};
iterator begin() noexcept { return iterator(this); }
};
Writer<> writer(1), ewriter(2);
template<class Iterator, bool debug = false> class Printer {
public:
using iterator_type = Iterator;
private:
template<class, bool = debug, class = void>
struct has_print : std::false_type {};
template<class T>
struct has_print<T, false,
decltype(std::declval<T>().print(std::declval<Printer&>()),
(void)0)> : std::true_type {};
template<class T>
struct has_print<T, true,
decltype(std::declval<T>().debug(std::declval<Printer&>()),
(void)0)> : std::true_type {};
Iterator itr;
std::size_t decimal_precision;
public:
void print_char(char c) {
*itr = c;
++itr;
}
void flush() { itr.flush(); }
Printer() noexcept = default;
explicit Printer(const Iterator& itr) noexcept
: itr(itr), decimal_precision(16) {}
void set_decimal_precision(std::size_t decimal_precision) {
this->decimal_precision = decimal_precision;
}
void print(char c) {
if IF_CONSTEXPR (debug) print_char('\'');
print_char(c);
if IF_CONSTEXPR (debug) print_char('\'');
}
void print(bool b) { print_char((char)(b + '0')); }
void print(const char* a) {
if IF_CONSTEXPR (debug) print_char('"');
for (; *a != '\0'; ++a) print_char(*a);
if IF_CONSTEXPR (debug) print_char('"');
}
template<std::size_t len> void print(const char (&a)[len]) {
if IF_CONSTEXPR (debug) print_char('"');
for (auto i : a) print_char(i);
if IF_CONSTEXPR (debug) print_char('"');
}
void print(const std::string& a) {
if IF_CONSTEXPR (debug) print_char('"');
for (auto i : a) print_char(i);
if IF_CONSTEXPR (debug) print_char('"');
}
template<std::size_t len> void print(const std::bitset<len>& a) {
rrep (i, len) print_char((char)(a[i] + '0'));
}
template<class T,
typename std::enable_if<is_int<T>::value &&
!has_print<T>::value>::type* = nullptr>
void print(T a) {
if (!a) {
print_char('0');
return;
}
if IF_CONSTEXPR (is_signed_int<T>::value) {
if (a < 0) {
print_char('-');
using U = typename make_unsigned_int<T>::type;
print(static_cast<U>(-static_cast<U>(a)));
return;
}
}
std::string s;
while (a) {
s += (char)(a % 10 + '0');
a /= 10;
}
for (auto i = s.rbegin(); i != s.rend(); ++i) print_char(*i);
}
template<class T,
typename std::enable_if<std::is_floating_point<T>::value &&
!has_print<T>::value>::type* = nullptr>
void print(T a) {
if (a == std::numeric_limits<T>::infinity()) {
print("inf");
return;
}
if (a == -std::numeric_limits<T>::infinity()) {
print("-inf");
return;
}
if (std::isnan(a)) {
print("nan");
return;
}
if (a < 0) {
print_char('-');
a = -a;
}
T b = a;
if (b < 1) {
print_char('0');
}
else {
std::string s;
while (b >= 1) {
s += (char)('0' + (int)std::fmod(b, 10.0));
b /= 10;
}
for (auto i = s.rbegin(); i != s.rend(); ++i) print_char(*i);
}
print_char('.');
rep (decimal_precision) {
a *= 10;
print_char((char)('0' + (int)std::fmod(a, 10.0)));
}
}
private:
template<std::size_t i, class... Args>
void print(const std::tuple<Args...>& a) {
if IF_CONSTEXPR (i < sizeof...(Args)) {
if IF_CONSTEXPR (debug) print_char(',');
print_char(' ');
print(std::get<i>(a));
print<i + 1, Args...>(a);
}
}
public:
template<class... Args> void print(const std::tuple<Args...>& a) {
if IF_CONSTEXPR (debug) print_char('(');
if IF_CONSTEXPR (sizeof...(Args) != 0) print(std::get<0>(a));
print<1, Args...>(a);
if IF_CONSTEXPR (debug) print_char(')');
}
template<class T, class U> void print(const std::pair<T, U>& a) {
if IF_CONSTEXPR (debug) print_char('(');
print(a.first);
if IF_CONSTEXPR (debug) print_char(',');
print_char(' ');
print(a.second);
if IF_CONSTEXPR (debug) print_char(')');
}
template<class T,
typename std::enable_if<is_range<T>::value &&
!has_print<T>::value>::type* = nullptr>
void print(const T& a) {
if IF_CONSTEXPR (debug) print_char('{');
for (auto i = std::begin(a); i != std::end(a); ++i) {
if (i != std::begin(a)) {
if IF_CONSTEXPR (debug) print_char(',');
print_char(' ');
}
print(*i);
}
if IF_CONSTEXPR (debug) print_char('}');
}
template<class T, typename std::enable_if<has_print<T>::value &&
!debug>::type* = nullptr>
void print(const T& a) {
a.print(*this);
}
template<class T, typename std::enable_if<has_print<T>::value &&
debug>::type* = nullptr>
void print(const T& a) {
a.debug(*this);
}
void operator()() {}
template<class Head, class... Args>
void operator()(const Head& head, const Args&... args) {
print(head);
operator()(args...);
}
template<class T> Printer& operator<<(const T& a) {
print(a);
return *this;
}
Printer& operator<<(Printer& (*pf)(Printer&)) { return pf(*this); }
};
template<class Iterator, bool debug>
Printer<Iterator, debug>& endl(Printer<Iterator, debug>& pr) {
pr.print_char('\n');
pr.flush();
return pr;
}
template<class Iterator, bool debug>
Printer<Iterator, debug>& flush(Printer<Iterator, debug>& pr) {
pr.flush();
return pr;
}
struct SetPrec {
int n;
template<class Pr> void print(Pr& pr) const { pr.set_decimal_precision(n); }
template<class Pr> void debug(Pr& pr) const { pr.set_decimal_precision(n); }
};
SetPrec setprec(int n) { return SetPrec{n}; };
Printer<Writer<>::iterator> print(writer.begin()), eprint(ewriter.begin());
template<class T> auto prints(const T& v) -> decltype(print << v, (void)0) {
print << v;
print.print_char('\n');
}
template<class Head, class... Tail>
auto prints(const Head& head, const Tail&... tail)
-> decltype(print << head, (void)0) {
print << head;
print.print_char(' ');
prints(tail...);
}
#ifdef SHIO_LOCAL
Printer<Writer<>::iterator, true> debug(writer.begin()),
edebug(ewriter.begin());
#else
char debug_iterator_character;
class DebugIterator {
public:
DebugIterator() noexcept = default;
DebugIterator& operator++() { return *this; }
DebugIterator& operator++(int) { return *this; }
char& operator*() const { return debug_iterator_character; }
void flush() const {}
};
Printer<DebugIterator> debug, edebug;
#endif
template<class T> auto debugs(const T& v) -> decltype(debug << v, (void)0) {
debug << v;
debug.print_char('\n');
}
template<class Head, class... Tail>
auto debugs(const Head& head, const Tail&... tail)
-> decltype(debug << head, (void)0) {
debug << head;
debug.print_char(' ');
debugs(tail...);
}
#line 2 "library/template/bitop.hpp"
#line 6 "library/template/bitop.hpp"
namespace bitop {
#define KTH_BIT(b, k) (((b) >> (k)) & 1)
#define POW2(k) (1ull << (k))
inline ull next_combination(int n, ull x) {
if (n == 0) return 1;
ull a = x & -x;
ull b = x + a;
return (x & ~b) / a >> 1 | b;
}
#define rep_comb(i, n, k) \
for (ull i = (1ull << (k)) - 1; i < (1ull << (n)); \
i = bitop::next_combination((n), i))
inline CONSTEXPR int msb(ull x) {
int res = x ? 0 : -1;
if (x & 0xFFFFFFFF00000000) x &= 0xFFFFFFFF00000000, res += 32;
if (x & 0xFFFF0000FFFF0000) x &= 0xFFFF0000FFFF0000, res += 16;
if (x & 0xFF00FF00FF00FF00) x &= 0xFF00FF00FF00FF00, res += 8;
if (x & 0xF0F0F0F0F0F0F0F0) x &= 0xF0F0F0F0F0F0F0F0, res += 4;
if (x & 0xCCCCCCCCCCCCCCCC) x &= 0xCCCCCCCCCCCCCCCC, res += 2;
return res + ((x & 0xAAAAAAAAAAAAAAAA) ? 1 : 0);
}
inline CONSTEXPR int ceil_log2(ull x) { return x ? msb(x - 1) + 1 : 0; }
inline CONSTEXPR ull reverse(ull x) {
x = ((x & 0xAAAAAAAAAAAAAAAA) >> 1) | ((x & 0x5555555555555555) << 1);
x = ((x & 0xCCCCCCCCCCCCCCCC) >> 2) | ((x & 0x3333333333333333) << 2);
x = ((x & 0xF0F0F0F0F0F0F0F0) >> 4) | ((x & 0x0F0F0F0F0F0F0F0F) << 4);
x = ((x & 0xFF00FF00FF00FF00) >> 8) | ((x & 0x00FF00FF00FF00FF) << 8);
x = ((x & 0xFFFF0000FFFF0000) >> 16) | ((x & 0x0000FFFF0000FFFF) << 16);
return (x >> 32) | (x << 32);
}
inline CONSTEXPR ull reverse(ull x, int n) { return reverse(x) >> (64 - n); }
} // namespace bitop
inline CONSTEXPR int popcnt(ull x) noexcept {
#if __cplusplus >= 202002L
return std::popcount(x);
#endif
x = (x & 0x5555555555555555) + ((x >> 1) & 0x5555555555555555);
x = (x & 0x3333333333333333) + ((x >> 2) & 0x3333333333333333);
x = (x & 0x0f0f0f0f0f0f0f0f) + ((x >> 4) & 0x0f0f0f0f0f0f0f0f);
x = (x & 0x00ff00ff00ff00ff) + ((x >> 8) & 0x00ff00ff00ff00ff);
x = (x & 0x0000ffff0000ffff) + ((x >> 16) & 0x0000ffff0000ffff);
return (x & 0x00000000ffffffff) + ((x >> 32) & 0x00000000ffffffff);
}
#line 2 "library/template/func.hpp"
#line 6 "library/template/func.hpp"
template<class T, class U, class Comp = std::less<>>
inline constexpr bool chmin(T& a, const U& b,
Comp cmp = Comp()) noexcept(noexcept(cmp(b, a))) {
return cmp(b, a) ? a = b, true : false;
}
template<class T, class U, class Comp = std::less<>>
inline constexpr bool chmax(T& a, const U& b,
Comp cmp = Comp()) noexcept(noexcept(cmp(a, b))) {
return cmp(a, b) ? a = b, true : false;
}
inline CONSTEXPR ll gcd(ll a, ll b) noexcept {
if (a < 0) a = -a;
if (b < 0) b = -b;
while (b) {
const ll c = a;
a = b;
b = c % b;
}
return a;
}
inline CONSTEXPR ll lcm(ll a, ll b) noexcept { return a / gcd(a, b) * b; }
inline CONSTEXPR bool is_prime(ll N) noexcept {
if (N <= 1) return false;
for (ll i = 2; i * i <= N; ++i) {
if (N % i == 0) return false;
}
return true;
}
inline std::vector<ll> prime_factor(ll N) {
std::vector<ll> res;
for (ll i = 2; i * i <= N; ++i) {
while (N % i == 0) {
res.push_back(i);
N /= i;
}
}
if (N != 1) res.push_back(N);
return res;
}
inline CONSTEXPR ll my_pow(ll a, ll b) noexcept {
ll res = 1;
while (b) {
if (b & 1) res *= a;
b >>= 1;
a *= a;
}
return res;
}
inline CONSTEXPR ll mod_pow(ll a, ll b, ll mod) {
assert(mod > 0);
if (mod == 1) return 0;
a %= mod;
ll res = 1;
while (b) {
if (b & 1) (res *= a) %= mod;
b >>= 1;
(a *= a) %= mod;
}
return res;
}
inline PLL extGCD(ll a, ll b) {
const ll n = a, m = b;
ll x = 1, y = 0, u = 0, v = 1;
ll t;
while (b) {
t = a / b;
std::swap(a -= t * b, b);
std::swap(x -= t * u, u);
std::swap(y -= t * v, v);
}
if (x < 0) {
x += m;
y -= n;
}
return {x, y};
}
inline ll mod_inv(ll a, ll mod) {
ll b = mod;
ll x = 1, u = 0;
ll t;
while (b) {
t = a / b;
std::swap(a -= t * b, b);
std::swap(x -= t * u, u);
}
if (x < 0) x += mod;
assert(a == 1);
return x;
}
#line 2 "library/template/util.hpp"
#line 6 "library/template/util.hpp"
template<class F> class RecLambda {
private:
F f;
public:
explicit constexpr RecLambda(F&& f_) : f(std::forward<F>(f_)) {}
template<class... Args>
constexpr auto operator()(Args&&... args)
-> decltype(f(*this, std::forward<Args>(args)...)) {
return f(*this, std::forward<Args>(args)...);
}
};
template<class F> inline constexpr RecLambda<F> rec_lambda(F&& f) {
return RecLambda<F>(std::forward<F>(f));
}
template<class Head, class... Tail> struct multi_dim_vector {
using type = std::vector<typename multi_dim_vector<Tail...>::type>;
};
template<class T> struct multi_dim_vector<T> { using type = T; };
template<class T, class Arg>
constexpr std::vector<T> make_vec(int n, Arg&& arg) {
return std::vector<T>(n, std::forward<Arg>(arg));
}
template<class T, class... Args>
constexpr typename multi_dim_vector<Args..., T>::type make_vec(int n,
Args&&... args) {
return typename multi_dim_vector<Args..., T>::type(
n, make_vec<T>(std::forward<Args>(args)...));
}
template<class T, class Comp = std::less<T>> class presser {
private:
std::vector<T> dat;
Comp cmp;
bool sorted = false;
public:
presser() : presser(Comp()) {}
presser(const Comp& cmp) : cmp(cmp) {}
presser(const std::vector<T>& vec, const Comp& cmp = Comp())
: dat(vec), cmp(cmp) {}
presser(std::vector<T>&& vec, const Comp& cmp = Comp())
: dat(std::move(vec)), cmp(cmp) {}
presser(std::initializer_list<T> il, const Comp& cmp = Comp())
: dat(all(il)), cmp(cmp) {}
void reserve(int n) {
assert(!sorted);
dat.reserve(n);
}
void push_back(const T& v) {
assert(!sorted);
dat.push_back(v);
}
void push_back(T&& v) {
assert(!sorted);
dat.push_back(std::move(v));
}
template<class... Args> void emplace_back(Args&&... args) {
assert(!sorted);
dat.emplace_back(std::forward<Args>(args)...);
}
void push(const std::vector<T>& vec) {
assert(!sorted);
const int n = dat.size();
dat.resize(n + vec.size());
rep (i, vec.size()) dat[n + i] = vec[i];
}
int build() {
assert(!sorted);
sorted = true;
std::sort(all(dat), cmp);
dat.erase(std::unique(all(dat),
[&](const T& a, const T& b) -> bool {
return !cmp(a, b) && !cmp(b, a);
}),
dat.end());
return dat.size();
}
const T& operator[](int k) const& {
assert(sorted);
assert(0 <= k && k < (int)dat.size());
return dat[k];
}
T operator[](int k) && {
assert(sorted);
assert(0 <= k && k < (int)dat.size());
return std::move(dat[k]);
}
int get(const T& val) const {
assert(sorted);
auto itr = std::lower_bound(all(dat), val, cmp);
assert(itr != dat.end() && !cmp(val, *itr));
return itr - dat.begin();
}
int lower_bound(const T& val) const {
assert(sorted);
auto itr = std::lower_bound(all(dat), val, cmp);
return itr - dat.begin();
}
int upper_bound(const T& val) const {
assert(sorted);
auto itr = std::upper_bound(all(dat), val, cmp);
return itr - dat.begin();
}
bool contains(const T& val) const {
assert(sorted);
return std::binary_search(all(dat), val, cmp);
}
std::vector<int> pressed(const std::vector<T>& vec) const {
assert(sorted);
std::vector<int> res(vec.size());
rep (i, vec.size()) res[i] = get(vec[i]);
return res;
}
void press(std::vector<T>& vec) const {
static_assert(std::is_convertible<T, int>::value,
"template argument must be convertible from int type");
assert(sorted);
each_for (i : vec) i = get(i);
}
int size() const {
assert(sorted);
return dat.size();
}
const std::vector<T>& data() const& { return dat; }
std::vector<T> data() && { return std::move(dat); }
};
#line 2 "library/math/matrix/Matrix.hpp"
#line 4 "library/math/matrix/Matrix.hpp"
template<class T> class Matrix : public std::vector<std::vector<T>> {
private:
using Base = std::vector<std::vector<T>>;
public:
Matrix() = default;
Matrix(int h, int w) : Base(h, std::vector<T>(w)) {}
Matrix(int h, int w, const T& v) : Base(h, std::vector<T>(w, v)) {}
Matrix(const Base& v) : Base(v) {}
Matrix(Base&& v) : Base(std::move(v)) {}
static Matrix get_identity(int sz) {
Matrix res(sz, sz, T{0});
rep (i, sz) res[i][i] = T{1};
return res;
}
int height() const { return this->size(); }
int width() const { return this->size() ? (*this)[0].size() : 0; }
bool is_square() const { return height() == width(); }
Matrix& operator+=(const Matrix& other) {
rep (i, this->height()) {
rep (j, this->width()) (*this)[i][j] += other[i][j];
}
return *this;
}
Matrix& operator-=(const Matrix& other) {
rep (i, this->height()) {
rep (j, this->width()) (*this)[i][j] -= other[i][j];
}
return *this;
}
Matrix& operator*=(const Matrix& other) {
assert(this->width() == other.height());
Matrix res(this->height(), other.width());
rep (i, this->height()) {
rep (k, other.height()) {
rep (j, other.width()) res[i][j] += (*this)[i][k] * other[k][j];
}
}
return *this = std::move(res);
}
Matrix& operator*=(T s) {
rep (i, height()) {
rep (j, width()) (*this)[i][j] *= s;
}
return *this;
}
friend Matrix operator+(const Matrix& lhs, const Matrix& rhs) {
return Matrix(lhs) += rhs;
}
friend Matrix operator-(const Matrix& lhs, const Matrix& rhs) {
return Matrix(lhs) -= rhs;
}
friend Matrix operator*(const Matrix& lhs, const Matrix& rhs) {
return Matrix(lhs) *= rhs;
}
friend Matrix operator*(const Matrix& lhs, T rhs) {
return Matrix(lhs) *= rhs;
}
friend Matrix operator*(int lhs, const Matrix& rhs) {
return Matrix(rhs) *= lhs;
}
Matrix pow(ll b) {
Matrix a = *this, res = get_identity(height());
while (b) {
if (b & 1) res *= a;
a *= a;
b >>= 1;
}
return res;
}
Matrix transpose() const {
Matrix res(width(), height());
rep (i, height()) {
rep (j, width()) res[j][i] = (*this)[i][j];
}
return res;
}
Matrix& gauss() {
int h = height(), w = width();
int r = 0;
rep (i, w) {
int pivot = -1;
rep (j, r, h) {
if ((*this)[j][i] != 0) {
pivot = j;
break;
}
}
if (pivot == -1) continue;
swap((*this)[pivot], (*this)[r]);
const T s = (*this)[r][i];
rep (j, i, w) (*this)[r][j] /= s;
rep (j, h) {
if (j == r) continue;
const T s = (*this)[j][i];
if (s == 0) continue;
rep (k, i, w) (*this)[j][k] -= (*this)[r][k] * s;
}
++r;
}
return *this;
}
friend Matrix gauss(const Matrix& mat) { return Matrix(mat).gauss(); }
int rank(bool is_gaussed = false) const {
if (!is_gaussed) return Matrix(*this).gauss().rank(true);
const int h = height(), w = width();
int r = 0;
rep (i, h) {
while (r < w && (*this)[i][r] == 0) ++r;
if (r == w) return i;
++r;
}
return h;
}
};
/**
* @brief Matrix(行列)
* @docs docs/math/matrix/Matrix.md
*/
#line 2 "library/math/BarrettReduction.hpp"
#line 4 "library/math/BarrettReduction.hpp"
class BarrettReduction {
private:
unsigned int m;
unsigned long long im;
public:
BarrettReduction(unsigned int m_)
: m(m_), im((unsigned long long)(-1) / m + 1) {}
inline void set_mod(unsigned int m_) {
m = m_;
im = (unsigned long long)(-1) / m + 1;
}
inline unsigned int get_mod() const { return m; }
unsigned int reduce(ull a) const {
ull x = static_cast<ull>((static_cast<__uint128_t>(a) * im) >> 64);
unsigned int v = static_cast<unsigned int>(a - x * static_cast<ull>(m));
return v >= m ? v + m : v;
}
unsigned int rem(ull a) const { return reduce(a); }
ull quo(ull a) const {
ull x = static_cast<ull>((static_cast<__uint128_t>(a) * im) >> 64);
unsigned int v = static_cast<unsigned int>(a - x * static_cast<ull>(m));
return v >= m ? x - 1 : x;
}
unsigned int mul(unsigned int a, unsigned int b) const {
return reduce(static_cast<ull>(a) * b);
}
};
template<int id> class BarrettModInt {
private:
unsigned int val;
static BarrettReduction bar;
public:
BarrettModInt() : val(0) {}
template<class U, typename std::enable_if<
std::is_integral<U>::value>::type* = nullptr>
BarrettModInt(U x) {
long long v = (long long)(x % (long long)bar.get_mod());
if (v < 0) v += bar.get_mod();
val = (unsigned int)v;
}
unsigned int get() const { return val; }
static unsigned int get_mod() { return bar.get_mod(); }
static void set_mod(unsigned int v) { bar.set_mod(v); }
BarrettModInt operator+() const { return *this; }
BarrettModInt operator-() const {
BarrettModInt res;
if (val) res.val = bar.get_mod() - val;
return res;
}
BarrettModInt& operator++() {
++val;
if (val == bar.get_mod()) val = 0;
return *this;
}
BarrettModInt& operator--() {
if (val == 0) val = bar.get_mod();
--val;
return *this;
}
BarrettModInt operator++(int) {
BarrettModInt res = *this;
++*this;
return res;
}
BarrettModInt operator--(int) {
BarrettModInt res = *this;
--*this;
return res;
}
BarrettModInt& operator+=(const BarrettModInt& rhs) {
val += rhs.val;
if (val >= bar.get_mod()) val -= bar.get_mod();
return *this;
}
BarrettModInt& operator-=(const BarrettModInt& rhs) {
if (val < rhs.val) val += bar.get_mod();
val -= rhs.val;
return *this;
}
BarrettModInt& operator*=(const BarrettModInt& rhs) {
val = bar.mul(val, rhs.val);
return *this;
}
BarrettModInt pow(ull n) const {
BarrettModInt res = 1, x = *this;
while (n) {
if (n & 1) res *= x;
x *= x;
n >>= 1;
}
return res;
}
BarrettModInt inv() const { return mod_inv(val, bar.get_mod()); }
BarrettModInt& operator/=(const BarrettModInt& rhs) {
return *this *= rhs.inv();
}
friend BarrettModInt operator+(const BarrettModInt& lhs,
const BarrettModInt& rhs) {
return BarrettModInt(lhs) += rhs;
}
friend BarrettModInt operator-(const BarrettModInt& lhs,
const BarrettModInt& rhs) {
return BarrettModInt(lhs) -= rhs;
}
friend BarrettModInt operator*(const BarrettModInt& lhs,
const BarrettModInt& rhs) {
return BarrettModInt(lhs) *= rhs;
}
friend BarrettModInt operator/(const BarrettModInt& lhs,
const BarrettModInt& rhs) {
return BarrettModInt(lhs) /= rhs;
}
friend bool operator==(const BarrettModInt& lhs, const BarrettModInt& rhs) {
return lhs.val == rhs.val;
}
friend bool operator!=(const BarrettModInt& lhs, const BarrettModInt& rhs) {
return lhs.val != rhs.val;
}
template<class Pr> void print(Pr& a) const { a.print(bar.reduce(val)); }
template<class Pr> void debug(Pr& a) const { a.print(bar.reduce(val)); }
template<class Sc> void scan(Sc& a) {
ll v;
a.scan(v);
*this = v;
}
};
template<int id>
BarrettReduction BarrettModInt<id>::bar = BarrettReduction(998244353);
using bmodint = BarrettModInt<-1>;
#line 2 "library/data-struct/segment/DualSegmentTree.hpp"
#line 2 "library/other/monoid.hpp"
#line 4 "library/other/monoid.hpp"
namespace Monoid {
template<class M, class = void> class has_op : public std::false_type {};
template<class M>
class has_op<M, decltype((void)M::op)> : public std::true_type {};
template<class M, class = void> class has_id : public std::false_type {};
template<class M>
class has_id<M, decltype((void)M::id)> : public std::true_type {};
template<class M, class = void> class has_inv : public std::false_type {};
template<class M>
class has_inv<M, decltype((void)M::inv)> : public std::true_type {};
template<class M, class = void> class has_get_inv : public std::false_type {};
template<class M>
class has_get_inv<M, decltype((void)M::get_inv)> : public std::true_type {};
template<class M, class = void> class has_init : public std::false_type {};
template<class M>
class has_init<M, decltype((void)M::init(0, 0))> : public std::true_type {};
template<class A, class = void> class has_mul_op : public std::false_type {};
template<class A>
class has_mul_op<A, decltype((void)A::mul_op)> : public std::true_type {};
template<class T, class = void> class is_semigroup : public std::false_type {};
template<class T>
class is_semigroup<T, decltype(std::declval<typename T::value_type>(),
(void)T::op)> : public std::true_type {};
template<class T, class = void> class is_monoid : public std::false_type {};
template<class T>
class is_monoid<T, decltype(std::declval<typename T::value_type>(), (void)T::op,
(void)T::id)> : public std::true_type {};
template<class T, class = void> class is_group : public std::false_type {};
template<class T>
class is_group<T, decltype(std::declval<typename T::value_type>(), (void)T::op,
(void)T::id, (void)T::get_inv)>
: public std::true_type {};
template<class T, class = void> class is_action : public std::false_type {};
template<class T>
class is_action<T, typename std::enable_if<is_monoid<typename T::M>::value &&
is_semigroup<typename T::E>::value &&
(has_op<T>::value ||
has_mul_op<T>::value)>::type>
: public std::true_type {};
template<class T, class = void>
class is_distributable_action : public std::false_type {};
template<class T>
class is_distributable_action<
T,
typename std::enable_if<is_action<T>::value && !has_mul_op<T>::value>::type>
: public std::true_type {};
template<class T> struct Sum {
using value_type = T;
static constexpr T op(const T& a, const T& b) { return a + b; }
static constexpr T id() { return T{0}; }
static constexpr T inv(const T& a, const T& b) { return a - b; }
static constexpr T get_inv(const T& a) { return -a; }
};
template<class T, T max_value = infinity<T>::max> struct Min {
using value_type = T;
static constexpr T op(const T& a, const T& b) { return a < b ? a : b; }
static constexpr T id() { return max_value; }
};
template<class T, T min_value = infinity<T>::min> struct Max {
using value_type = T;
static constexpr T op(const T& a, const T& b) { return a < b ? b : a; }
static constexpr T id() { return min_value; }
};
template<class T> struct Assign {
using value_type = T;
static constexpr T op(const T&, const T& b) { return b; }
};
template<class T, T max_value = infinity<T>::max> struct AssignMin {
using M = Min<T, max_value>;
using E = Assign<T>;
static constexpr T op(const T& a, const T&) { return a; }
};
template<class T, T min_value = infinity<T>::min> struct AssignMax {
using M = Max<T, min_value>;
using E = Assign<T>;
static constexpr T op(const T& a, const T&) { return a; }
};
template<class T> struct AssignSum {
using M = Sum<T>;
using E = Assign<T>;
static constexpr T mul_op(const T& a, int b, const T&) { return a * b; }
};
template<class T, T max_value = infinity<T>::max> struct AddMin {
using M = Min<T, max_value>;
using E = Sum<T>;
static constexpr T op(const T& a, const T& b) { return b + a; }
};
template<class T, T min_value = infinity<T>::min> struct AddMax {
using M = Max<T, min_value>;
using E = Sum<T>;
static constexpr T op(const T& a, const T& b) { return b + a; }
};
template<class T> struct AddSum {
using M = Sum<T>;
using E = Sum<T>;
static constexpr T mul_op(const T& a, int b, const T& c) {
return c + a * b;
}
};
template<class T, T max_value = infinity<T>::max> struct ChminMin {
using M = Min<T, max_value>;
using E = Min<T>;
static constexpr T op(const T& a, const T& b) { return std::min(b, a); }
};
template<class T, T min_value = infinity<T>::min> struct ChminMax {
using M = Max<T, min_value>;
using E = Min<T>;
static constexpr T op(const T& a, const T& b) { return std::min(b, a); }
};
template<class T, T max_value = infinity<T>::max> struct ChmaxMin {
using M = Min<T, max_value>;
using E = Max<T>;
static constexpr T op(const T& a, const T& b) { return std::max(b, a); }
};
template<class T, T min_value = infinity<T>::min> struct ChmaxMax {
using M = Max<T, min_value>;
using E = Max<T>;
static constexpr T op(const T& a, const T& b) { return std::max(b, a); }
};
template<class M> struct ReverseMonoid {
using value_type = typename M::value_type;
static value_type op(const value_type& a, const value_type& b) {
return M::op(b, a);
}
static value_type id() {
static_assert(has_id<M>::value, "id is not defined");
return M::id();
}
static value_type get_inv(const value_type& a) {
static_assert(has_get_inv<M>::value, "get_inv is not defined");
return M::get_inv(a);
}
};
template<class M_> struct AttachEffector {
using M = M_;
using E = M_;
using T = typename M_::value_type;
static T op(const T& a, const T& b) { return M_::op(b, a); }
};
template<class E_> struct AttachMonoid {
using M = E_;
using E = E_;
using T = typename E_::value_type;
static T op(const T& a, const T& b) { return E_::op(b, a); }
};
} // namespace Monoid
#line 5 "library/data-struct/segment/DualSegmentTree.hpp"
template<class A, bool = Monoid::is_semigroup<A>::value> class DualSegmentTree {
static_assert(Monoid::is_semigroup<typename A::M>::value,
"M must be semigroup");
static_assert(Monoid::is_semigroup<typename A::E>::value,
"E must be semigroup");
static_assert(Monoid::has_op<A>::value, "A must have op");
private:
using M = typename A::M;
using E = typename A::E;
using T = typename M::value_type;
using U = typename E::value_type;
int n, h, ori;
std::vector<T> data;
std::vector<U> lazy;
std::vector<bool> lazyflag;
template<bool AlwaysTrue = true,
typename std::enable_if<!Monoid::has_mul_op<A>::value &&
AlwaysTrue>::type* = nullptr>
static inline T Aop(const U& a, const T& b, int) {
return A::op(a, b);
}
template<bool AlwaysTrue = true,
typename std::enable_if<Monoid::has_mul_op<A>::value &&
AlwaysTrue>::type* = nullptr>
static inline T Aop(const U& a, const T& b, int c) {
return A::mul_op(a, c, b);
}
void all_apply(int k, U x) {
if (k < n) {
if (lazyflag[k]) {
lazy[k] = E::op(lazy[k], x);
}
else {
lazy[k] = x;
lazyflag[k] = true;
}
}
else if (k < n + ori) {
data[k - n] = Aop(x, data[k - n], 1);
}
}
void eval(int k) {
if (lazyflag[k]) {
all_apply(k << 1, lazy[k]);
all_apply(k << 1 ^ 1, lazy[k]);
lazyflag[k] = false;
}
}
public:
DualSegmentTree() : DualSegmentTree(0) {}
DualSegmentTree(int n) : DualSegmentTree(n, T{}) {}
DualSegmentTree(int n_, const T& v)
: DualSegmentTree(std::vector<T>(n_, v)) {}
DualSegmentTree(const std::vector<T>& v) { init(v); }
void init(const std::vector<T>& v) {
ori = v.size();
h = bitop::ceil_log2(ori);
n = 1 << h;
data = v;
lazy.resize(n);
lazyflag.assign(n, false);
}
T get(int k) {
assert(0 <= k && k < ori);
k += n;
rreps (i, h) eval(k >> i);
return data[k - n];
}
template<class Upd> void update(int k, const Upd& upd) {
assert(0 <= k && k < ori);
k += n;
rreps (i, h) eval(k >> i);
data[k - n] = upd(data[k - n]);
}
void set(int k, T x) {
update(k, [&](T) -> T { return x; });
}
void apply(int k, U x) {
update(k, [&](T a) -> T { return A::op(x, a); });
}
void apply(int l, int r, U x) {
assert(0 <= l && l <= r && r <= ori);
l += n;
r += n;
rreps (i, h) {
bool seen = false;
if (((l >> i) << i) != l) eval(l >> i), seen = true;
if (((r >> i) << i) != r) eval((r - 1) >> i), seen = true;
if (!seen) break;
}
while (l != r) {
if (l & 1) all_apply(l++, x);
if (r & 1) all_apply(--r, x);
l >>= 1;
r >>= 1;
}
}
};
template<class E>
class DualSegmentTree<E, true>
: public DualSegmentTree<Monoid::AttachMonoid<E>> {
private:
using Base = DualSegmentTree<Monoid::AttachMonoid<E>>;
public:
using Base::Base;
};
// verified with test/aoj/DSL/DSL_2_D-RUQ.test.cpp
template<class T> using RangeUpdateQuery = DualSegmentTree<Monoid::Assign<T>>;
// verified with test/aoj/DSL/DSL_2_E-RAQ.test.cpp
template<class T> using RangeAddQuery = DualSegmentTree<Monoid::Sum<T>>;
template<class T, T max_value = infinity<T>::max>
using RangeChminQuery = DualSegmentTree<Monoid::Min<T, max_value>>;
template<class T, T min_value = infinity<T>::min>
using RangeChmaxQuery = DualSegmentTree<Monoid::Max<T, min_value>>;
/**
* @brief DualSegmentTree(双対セグメント木)
* @docs docs/data-struct/segment/DualSegmentTree.md
*/
#line 5 "main.cpp"
using namespace std;
using mint = bmodint;
using matx = Matrix<mint>;
struct Act {
struct M {
using value_type = matx;
static value_type op(const value_type &, const value_type &) {
assert(false);
}
};
struct E {
using value_type = matx;
static value_type id() {
return matx::get_identity(5);
}
static value_type op(const value_type &a, const value_type &b) {
return a * b;
}
};
static matx op(const matx &a, const matx &b) {
return a * b;
}
};
int main() {
int N, B, Q; scan >> N >> B >> Q;
mint::set_mod(B);
matx A = vector<vector<mint>>{
{1, 0, 0, 0, 1},
{0, 3, 2, 2, 0},
{0, 0, 3, 0, 0},
{0, 0, 0, 3, 3},
{0, 0, 0, 0, 1}
};
DualSegmentTree<Act> seg([&] {
return vector<matx>(N, matx(5, 1, 1));
}());
rep (Q) {
int l, m, r; scan >> l >> m >> r;
--l; --m;
seg.apply(l, r, A);
auto res = seg.get(m);
prints(res[0][0], res[1][0], res[2][0]);
}
}
/*
(x, y, z, xz, 1)
-> (x+1, 3y+2xz+2z, 3z, 3xz+3, 1)
*/