#line 1 "debugger/test.cpp"
#include <bits/stdc++.h>
#line 2 "template/debug.hpp"
#ifdef LOCAL_JUDGE
#define DEBUGGER_ENABLED
#define DEBUGGER_COLORED_OUTPUT 1
#endif
#line 2 "debugger/debug.hpp"
#line 7 "debugger/debug.hpp"
#include <string_view>
#line 23 "debugger/debug.hpp"
#include <ranges>
#include <concepts>
#include <type_traits>
#line 2 "numeric/int128.hpp"
#line 9 "numeric/int128.hpp"
#line 2 "snippet/internal/types.hpp"
#line 4 "snippet/internal/types.hpp"
namespace uni {
using i16 = std::int16_t;
using u16 = std::uint16_t;
using i32 = std::int32_t;
using u32 = std::uint32_t;
using i64 = std::int64_t;
using u64 = std::uint64_t;
#ifdef __GNUC__
using i128 = __int128_t;
using u128 = __uint128_t;
using f128 = __float128;
#endif
using uint = unsigned;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
} // namespace uni
#line 2 "snippet/iterations.hpp"
#line 2 "macro/overload.hpp"
#define $OVERLOAD2(arg0, arg1, cmd, ...) cmd
#define $OVERLOAD3(arg0, arg1, arg2, cmd, ...) cmd
#define $OVERLOAD4(arg0, arg1, arg2, arg3, cmd, ...) cmd
#define $OVERLOAD5(arg0, arg1, arg2, arg3, arg4, cmd, ...) cmd
#define $OVERLOAD6(arg0, arg1, arg2, arg3, arg4, arg5, cmd, ...) cmd
#line 2 "macro/basic.hpp"
#define TO_STRING_AUX(x) #x
#define TO_STRING(x) TO_STRING_AUX(x)
#define CONCAT_AUX(x, y) x##y
#define CONCAT(x, y) CONCAT_AUX(x, y)
#define UNPAREN_AUX(...) __VA_ARGS__
#define UNPAREN(...) __VA_ARGS__
#line 6 "snippet/iterations.hpp"
#define LOOP(n) REPI(CONCAT(_$, __COUNTER__), n)
#define REPI(i,n) for(std::remove_cvref_t<decltype(n)> i=0, CONCAT(i, $)=(n); i<CONCAT(i, $); ++i)
#define REPF(i,l,r) for(std::common_type_t<std::remove_cvref_t<decltype(l)>,std::remove_cvref_t<decltype(r)>> i=(l), CONCAT(i, $)=(r); i<CONCAT(i, $); ++i)
#define REPIS(i,l,r,s) for(std::common_type_t<std::remove_cvref_t<decltype(l)>,std::remove_cvref_t<decltype(r)>,std::remove_cvref_t<decltype(s)>> i=(l), CONCAT(i, $)=(r); i<CONCAT(i, $); i+=(s))
#define REPR(i,n) for(auto i=(n); --i>=0;)
#define REPB(i,l,r) for(std::common_type_t<std::remove_cvref_t<decltype(l)>,std::remove_cvref_t<decltype(r)>> i=(r), CONCAT(i, $)=(l); --i>=CONCAT(i, $);)
#define REPRS(i,l,r,s) for(std::common_type_t<std::remove_cvref_t<decltype(l)>,std::remove_cvref_t<decltype(r)>,std::remove_cvref_t<decltype(s)>> i=(l)+((r)-(l)-1)/(s)*(s), CONCAT(i, $)=(l); i>=CONCAT(i, $); (i-=(s)))
#define REP(...) $OVERLOAD4(__VA_ARGS__, REPIS, REPF, REPI, LOOP)(__VA_ARGS__)
#define REPD(...) $OVERLOAD4(__VA_ARGS__, REPRS, REPB, REPR)(__VA_ARGS__)
#define FORO(i,n) for(int i=0, CONCAT(i, $)=static_cast<int>(n); i<=CONCAT(i, $); ++i)
#define FORI(i,l,r) for(std::common_type_t<std::remove_cvref_t<decltype(l)>,std::remove_cvref_t<decltype(r)>> i=(l), CONCAT(i, $)=(r); i<=CONCAT(i, $); ++i)
#define FORIS(i,l,r,s) for(std::common_type_t<std::remove_cvref_t<decltype(l)>,std::remove_cvref_t<decltype(r)>,std::remove_cvref_t<decltype(s)>> i=(l), CONCAT(i, $)=(r); i<=CONCAT(i, $); i+=(s))
#define FORRO(i,n) for(auto i=(n); i>=0; --i)
#define FORR(i,l,r) for(std::common_type_t<std::remove_cvref_t<decltype(l)>,std::remove_cvref_t<decltype(r)>> i=(r), CONCAT(i, $)=(l); i>=CONCAT(i, $); --i)
#define FORRS(i,l,r,s) for(std::common_type_t<std::remove_cvref_t<decltype(l)>,std::remove_cvref_t<decltype(r)>,std::remove_cvref_t<decltype(s)>> i=(l)+((r)-(l))/(s)*(s), CONCAT(i, $)=(l); i>=CONCAT(i, $); i-=(s))
#define FOR(...) $OVERLOAD4(__VA_ARGS__, FORIS, FORI, FORO)(__VA_ARGS__)
#define FORD(...) $OVERLOAD4(__VA_ARGS__, FORRS, FORR, FORRO)(__VA_ARGS__)
#define ITR1(e0,v) for(const auto &e0 : (v))
#define ITRP1(e0,v) for(auto e0 : (v))
#define ITRR1(e0,v) for(auto &e0 : (v))
#define ITR2(e0,e1,v) for(const auto [e0, e1] : (v))
#define ITRP2(e0,e1,v) for(auto [e0, e1] : (v))
#define ITRR2(e0,e1,v) for(auto &[e0, e1] : (v))
#define ITR3(e0,e1,e2,v) for(const auto [e0, e1, e2] : (v))
#define ITRP3(e0,e1,e2,v) for(auto [e0, e1, e2] : (v))
#define ITRR3(e0,e1,e2,v) for(auto &[e0, e1, e2] : (v))
#define ITR4(e0,e1,e2,e3,v) for(const auto [e0, e1, e2, e3] : (v))
#define ITRP4(e0,e1,e2,e3,v) for(auto [e0, e1, e2, e3] : (v))
#define ITRR4(e0,e1,e2,e3,v) for(auto &[e0, e1, e2, e3] : (v))
#define ITR5(e0,e1,e2,e3,e4,v) for(const auto [e0, e1, e2, e3, e4] : (v))
#define ITRP5(e0,e1,e2,e3,e4,v) for(auto [e0, e1, e2, e3, e4] : (v))
#define ITRR5(e0,e1,e2,e3,e4,v) for(auto &[e0, e1, e2, e3, e4] : (v))
#define ITR(...) $OVERLOAD6(__VA_ARGS__, ITR5, ITR4, ITR3, ITR2, ITR1)(__VA_ARGS__)
#define ITRP(...) $OVERLOAD6(__VA_ARGS__, ITRP5, ITRP4, ITRP3, ITRP2, ITRP1)(__VA_ARGS__)
#define ITRR(...) $OVERLOAD6(__VA_ARGS__, ITRR5, ITRR4, ITRR3, ITRR2, ITRR1)(__VA_ARGS__)
#line 12 "numeric/int128.hpp"
#line 2 "internal/dev_env.hpp"
#ifdef LOCAL_JUDGE
inline constexpr bool DEV_ENV = true;
inline constexpr bool NO_EXCEPT = false;
#else
inline constexpr bool DEV_ENV = false;
inline constexpr bool NO_EXCEPT = true;
#endif // LOCAL_JUDGE
#if __cplusplus >= 202100L
#define CPP20 true
#define CPP23 true
#elif __cplusplus >= 202002L
#define CPP20 true
#define CPP23 false
#else
#define CPP20 false
#define CPP23 false
#endif
#line 14 "numeric/int128.hpp"
namespace std {
template<class C, class S>
auto& operator>>(std::basic_istream<C, S>& in, uni::i128& v) noexcept(NO_EXCEPT) {
std::string str; in >> str;
v = 0;
bool negative = (str[0] == '-');
REP(d, std::ranges::next(str.begin(), negative), str.end()) {
assert(std::isdigit(*d));
v = v * 10 + *d - '0';
}
if(negative) v *= -1;
return in;
}
template<class C, class S>
auto& operator>>(std::basic_istream<C, S>& in, uni::u128& v) noexcept(NO_EXCEPT) {
std::string str; in >> str;
v = 0U;
assert(str[0] != '-');
REP(d, str.begin(), str.end()) {
assert(std::isdigit(*d));
v = v * 10U + *d - '0';
}
return in;
}
template<class C, class S>
auto& operator<<(std::basic_ostream<C, S>& out, uni::i128 v) noexcept(NO_EXCEPT) {
if(v == 0) return out << 0;
if(v < 0) out << '-', v *= -1;
std::string str;
while(v > 0) str += static_cast<char>(v%10) + '0', v /= 10;
std::reverse(str.begin(), str.end());
return out << str;
}
template<class C, class S>
auto& operator<<(std::basic_ostream<C, S>& out, uni::u128 v) noexcept(NO_EXCEPT) {
if(v == 0) return out << 0U;
std::string str;
while(v > 0) str += static_cast<char>(v%10U) + '0', v /= 10U;
std::reverse(str.begin(), str.end());
return out << str;
}
}
#line 29 "debugger/debug.hpp"
#line 2 "internal/type_traits.hpp"
#line 9 "internal/type_traits.hpp"
#line 12 "internal/type_traits.hpp"
namespace uni {
namespace internal {
template<class... Ts> struct tuple_or_pair { using type = std::tuple<Ts...>; };
template<class T, class U> struct tuple_or_pair<T,U> { using type = std::pair<T, U>; };
template <class... Ts> using tuple_or_pair_t = typename tuple_or_pair<Ts...>::type;
template<class T>
constexpr std::underlying_type_t<T> to_underlying(const T& v) noexcept(NO_EXCEPT) {
return static_cast<std::underlying_type_t<T>>(v);
}
template<class T, class... Ts>
using are_same = std::conjunction<std::is_same<T, Ts>...>;
template<class T, class... Ts>
inline constexpr bool are_same_v = are_same<T, Ts...>::value;
template<class T, class... Ts>
using is_same_as_any_of = std::disjunction<std::is_same<T, Ts>...>;
template<class T, class... Ts>
inline constexpr bool is_same_as_any_of_v = is_same_as_any_of<T, Ts...>::value;
template<class T, class... Ts>
concept same_as_any_of = is_same_as_any_of_v<T, Ts...>;
template<class Base, class... Derived>
using is_base_of_all = std::conjunction<std::is_base_of<Base, Derived>...>;
template<class Base, class... Derived>
inline constexpr bool is_base_of_all_v = is_base_of_all<Base, Derived...>::value;
template<class Base, class... Derived>
using is_base_of_any = std::disjunction<std::is_base_of<Base, Derived>...>;
template<class Base, class... Derived>
inline constexpr bool is_base_of_any_v = is_base_of_any<Base, Derived...>::value;
template<class T> struct remove_cvref {
using type = typename std::remove_cv_t<std::remove_reference_t<T>>;
};
template<class T> using remove_cvref_t = typename remove_cvref<T>::type;
template<class T> struct literal_operator { static constexpr const char* value = ""; };
template<> struct literal_operator<unsigned> { static constexpr const char* value = "U"; };
template<> struct literal_operator<long> { static constexpr const char* value = "L"; };
template<> struct literal_operator<unsigned long> { static constexpr const char* value = "UL"; };
template<> struct literal_operator<long long> { static constexpr const char* value = "LL"; };
template<> struct literal_operator<unsigned long long> { static constexpr const char* value = "ULL"; };
template<> struct literal_operator<float> { static constexpr const char* value = "F"; };
template<> struct literal_operator<double> { static constexpr const char* value = "D"; };
template<> struct literal_operator<long double> { static constexpr const char* value = "LD"; };
#ifdef __SIZEOF_INT128__
template<> struct literal_operator<__int128_t> { static constexpr const char* value = "LLL"; };
template<> struct literal_operator<__uint128_t> { static constexpr const char* value = "ULLL"; };
#endif
template<class T> inline constexpr auto literal_operator_v = literal_operator<T>::value;
template <std::size_t N, typename... Types>
struct nth_type {};
template <class Head, class... Tail>
struct nth_type<0, Head, Tail...> {
using type = Head;
};
template <std::size_t N, class Head, class... Tail>
struct nth_type<N, Head, Tail...> : public nth_type<N - 1, Tail...> {};
template <std::size_t N, typename... Types>
using nth_type_t = typename nth_type<N, Types...>::type;
template<template <class...> class, class> struct is_template_of : std::false_type {};
template<template <class...> class Template, class... Args> struct is_template_of<Template, Template<Args...>> : std::true_type {};
template<template <class...> class Template, class Type>
inline constexpr bool is_template_of_v = is_template_of<Template, Type>::value;
template<class Type, template <class...> class Template>
concept substituted_from = is_template_of_v<Template, Type>;
template<template <class...> class Base, class Derived>
struct _is_basic_tempalte_of
{
template<class... Ts>
static constexpr std::true_type test(const Base<Ts...> *);
static constexpr std::false_type test(...);
using type = decltype(test(std::declval<Derived*>()));
};
template<template <class...> class Base, class Derived>
using is_basic_tempalte_of = _is_basic_tempalte_of<Base, Derived>::type;
template<template <class...> class Base, class Derived>
inline constexpr bool is_basic_tempalte_of_v = is_basic_tempalte_of<Base, Derived>::value;
template<class Derived, template <class...> class Base>
concept derived_from_template = is_basic_tempalte_of_v<Base, Derived>;
template<class T> struct is_loggable {
template<class U>
static constexpr auto External(U &&v) -> decltype(_debug(v), std::true_type());
static constexpr std::false_type External(...);
template<class U>
static constexpr auto Member(U &&v) -> decltype(v._debug(), std::true_type());
static constexpr std::false_type Member(...);
static constexpr bool value = (
decltype(External(std::declval<T>()))::value ||
decltype(Member(std::declval<T>()))::value
);
};
template<class T>
inline constexpr auto is_loggable_v = is_loggable<T>::value;
template<class T>
concept loggable = is_loggable_v<T>;
template<class T> struct _has_iterator {
template<class U>
static constexpr auto ADL(U &&v) -> decltype(begin(v), end(v), std::true_type());
static constexpr std::false_type ADL(...);
template<class U>
static constexpr auto STL(U &&v) -> decltype(std::begin(v), std::end(v), std::true_type());
static constexpr std::false_type STL(...);
template<class U>
static constexpr auto Member(U &&v) -> decltype(v.begin(), v.end(), std::true_type());
static constexpr std::false_type Member(...);
};
template<class T> struct has_iterator {
struct ADL : decltype(_has_iterator<T>::ADL(std::declval<T>())) {};
struct STL : decltype(_has_iterator<T>::STL(std::declval<T>())) {};
struct Member : decltype(_has_iterator<T>::Member(std::declval<T>())) {};
static constexpr auto adl_v = ADL::value;
static constexpr auto stl_v = STL::value;
static constexpr auto member_v = Member::value;
};
template<class T>
struct is_iterable {
static constexpr bool value = has_iterator<T>::adl_v || has_iterator<T>::stl_v || has_iterator<T>::member_v;
};
template<class T>
inline constexpr auto is_iterable_v = is_iterable<T>::value;
template<class T>
concept iterable = is_iterable_v<T>;
namespace iterator_resolver {
template<class T>
inline constexpr auto begin(T&& v) noexcept(NO_EXCEPT) {
static_assert(is_iterable_v<T>);
if constexpr(has_iterator<T>::member_v) {
return v.begin();
}
else { // ADL
using std::begin;
return begin(std::forward<T>(v));
}
}
template<class T>
inline constexpr auto end(T&& v) noexcept(NO_EXCEPT) {
static_assert(is_iterable_v<T>);
if constexpr(has_iterator<T>::member_v) {
return v.end();
}
else { // ADL
using std::end;
return end(std::forward<T>(v));
}
}
};
template<class C> using iterator_t = decltype(iterator_resolver::begin(std::declval<C&>()));
template<class C> using container_size_t = decltype(std::size(std::declval<C&>()));
template<bool Const, class T>
using maybe_const_t = std::conditional_t<Const, const T, T>;
template<class T> using with_ref = T&;
template<class T> concept can_reference = requires { typename with_ref<T>; };
} // namespace internal
} // namespace uni
#line 2 "internal/concepts.hpp"
#line 9 "internal/concepts.hpp"
namespace uni {
namespace internal {
template<class R, class T>
concept convertibel_range = std::convertible_to<std::ranges::range_value_t<R>, T>;
template<class T, class V>
concept item_or_convertible_range = std::convertible_to<T, V> || convertibel_range<T, V>;
template<class Structure>
concept available =
requires () {
typename Structure;
};
template<
template<class...> class Structure,
class... TemplateParameters
>
concept available_with = available<Structure<TemplateParameters...>>;
template<class T> concept arithmetic = std::is_arithmetic_v<T>;
template<class T> concept pointer = std::is_pointer_v<T>;
template<class T> concept structural = std::is_class_v<T>;
template<class Large, class Small>
concept has_double_digits_of = (std::numeric_limits<Large>::digits == 2 * std::numeric_limits<Small>::digits);
template<class Large, class Small>
concept has_more_digits_than = (std::numeric_limits<Large>::digits > std::numeric_limits<Small>::digits);
template<class Large, class Small>
concept has_or_more_digits_than = (std::numeric_limits<Large>::digits >= std::numeric_limits<Small>::digits);
template<class T>
concept has_static_zero = requires { T::zero; };
template<class T>
concept has_static_one = requires { T::one; };
template<class L, class R = L>
concept weakly_bitand_calcurable = requires (L lhs, R rhs) { lhs & rhs; };
template<class L, class R = L>
concept weakly_bitor_calcurable = requires (L lhs, R rhs) { lhs | rhs; };
template<class L, class R = L>
concept weakly_bitxor_calcurable = requires (L lhs, R rhs) { lhs ^ rhs; };
template<class L, class R = L>
concept weakly_addable = requires (L lhs, R rhs) { lhs + rhs; };
template<class L, class R = L>
concept weakly_subtractable = requires (L lhs, R rhs) { lhs - rhs; };
template<class L, class R = L>
concept weakly_multipliable = requires (L lhs, R rhs) { lhs * rhs; };
template<class L, class R = L>
concept weakly_divisable = requires (L lhs, R rhs) { lhs / rhs; };
template<class L, class R = L>
concept weakly_remainder_calculable = requires (L lhs, R rhs) { lhs % rhs; };
template<class L, class R = L>
concept weakly_bitand_assignable = requires (L lhs, R rhs) { lhs += rhs; };
template<class L, class R = L>
concept weakly_bitor_assignable = requires (L lhs, R rhs) { lhs |= rhs; };
template<class L, class R = L>
concept weakly_bitxor_assignable = requires (L lhs, R rhs) { lhs ^= rhs; };
template<class L, class R = L>
concept weakly_addition_assignable = requires (L lhs, R rhs) { lhs += rhs; };
template<class L, class R = L>
concept weakly_subtraction_assignable = requires (L lhs, R rhs) { lhs -= rhs; };
template<class L, class R = L>
concept weakly_multipliation_assignalbe = requires (L lhs, R rhs) { lhs *= rhs; };
template<class L, class R = L>
concept weakly_division_assignable = requires (L lhs, R rhs) { lhs /= rhs; };
template<class L, class R = L>
concept weakly_remainder_assignable = requires (L lhs, R rhs) { lhs /= rhs; };
template<class L, class R = L>
concept bitand_calculable =
weakly_bitand_calcurable<L, R> &&
weakly_bitand_calcurable<std::invoke_result_t<std::bit_and<>&, L, R>, R> &&
weakly_bitand_calcurable<L, std::invoke_result_t<std::bit_and<>&, L, R>> &&
weakly_bitand_calcurable<std::invoke_result_t<std::bit_and<>&, L, R>, std::invoke_result_t<std::bit_and<>&, L, R>>;
template<class L, class R = L>
concept bitor_calculable =
weakly_bitor_calcurable<L, R> &&
weakly_bitor_calcurable<std::invoke_result_t<std::bit_or<>&, L, R>, R> &&
weakly_bitor_calcurable<L, std::invoke_result_t<std::bit_or<>&, L, R>> &&
weakly_bitor_calcurable<std::invoke_result_t<std::bit_or<>&, L, R>, std::invoke_result_t<std::bit_or<>&, L, R>>;
template<class L, class R = L>
concept bitxor_calculable =
weakly_bitxor_calcurable<L, R> &&
weakly_bitxor_calcurable<std::invoke_result_t<std::bit_xor<>&, L, R>, R> &&
weakly_bitxor_calcurable<L, std::invoke_result_t<std::bit_xor<>&, L, R>> &&
weakly_bitxor_calcurable<std::invoke_result_t<std::bit_xor<>&, L, R>, std::invoke_result_t<std::bit_xor<>&, L, R>>;
template<class L, class R = L>
concept addable =
weakly_addable<L, R> &&
weakly_addable<std::invoke_result_t<std::plus<>&, L, R>, R> &&
weakly_addable<L, std::invoke_result_t<std::plus<>&, L, R>> &&
weakly_addable<std::invoke_result_t<std::plus<>&, L, R>, std::invoke_result_t<std::plus<>&, L, R>>;
template<class L, class R = L>
concept subtractable =
weakly_subtractable<L, R> &&
weakly_subtractable<std::invoke_result_t<std::minus<>&, L, R>, R> &&
weakly_subtractable<L, std::invoke_result_t<std::minus<>&, L, R>> &&
weakly_subtractable<std::invoke_result_t<std::minus<>&, L, R>, std::invoke_result_t<std::minus<>&, L, R>>;
template<class L, class R = L>
concept multipliable =
weakly_multipliable<L, R> &&
weakly_multipliable<std::invoke_result_t<std::multiplies<>&, L, R>, R> &&
weakly_multipliable<L, std::invoke_result_t<std::multiplies<>&, L, R>> &&
weakly_multipliable<std::invoke_result_t<std::multiplies<>&, L, R>, std::invoke_result_t<std::multiplies<>&, L, R>>;
template<class L, class R = L>
concept divisable =
weakly_divisable<L, R> &&
weakly_divisable<std::invoke_result_t<std::divides<>&, L, R>, R> &&
weakly_divisable<L, std::invoke_result_t<std::divides<>&, L, R>> &&
weakly_divisable<std::invoke_result_t<std::divides<>&, L, R>, std::invoke_result_t<std::divides<>&, L, R>>;
template<class L, class R = L>
concept remainder_calculable =
weakly_remainder_calculable<L, R> &&
weakly_remainder_calculable<std::invoke_result_t<std::modulus<>&, L, R>, R> &&
weakly_remainder_calculable<L, std::invoke_result_t<std::modulus<>&, L, R>> &&
weakly_remainder_calculable<std::invoke_result_t<std::modulus<>&, L, R>, std::invoke_result_t<std::modulus<>&, L, R>>;
template<class L, class R = L>
concept bitand_assignable =
weakly_bitand_assignable<L, R> &&
weakly_bitand_assignable<std::invoke_result_t<std::bit_and<>&, L, R>, R> &&
weakly_bitand_assignable<L, std::invoke_result_t<std::bit_and<>&, L, R>> &&
weakly_bitand_assignable<std::invoke_result_t<std::bit_and<>&, L, R>, std::invoke_result_t<std::bit_and<>&, L, R>>;
template<class L, class R = L>
concept bitor_assignable =
weakly_bitor_calcurable<L, R> &&
weakly_bitor_calcurable<std::invoke_result_t<std::bit_or<>&, L, R>, R> &&
weakly_bitor_calcurable<L, std::invoke_result_t<std::bit_or<>&, L, R>> &&
weakly_bitor_calcurable<std::invoke_result_t<std::bit_or<>&, L, R>, std::invoke_result_t<std::bit_or<>&, L, R>>;
template<class L, class R = L>
concept bitxor_assignable =
weakly_bitxor_calcurable<L, R> &&
weakly_bitxor_calcurable<std::invoke_result_t<std::bit_xor<>&, L, R>, R> &&
weakly_bitxor_calcurable<L, std::invoke_result_t<std::bit_xor<>&, L, R>> &&
weakly_bitxor_calcurable<std::invoke_result_t<std::bit_xor<>&, L, R>, std::invoke_result_t<std::bit_xor<>&, L, R>>;
template<class L, class R = L>
concept addition_assignable =
weakly_addition_assignable<L, R> &&
weakly_addition_assignable<std::remove_cvref_t<std::invoke_result_t<std::plus<>&, L, R>>, R> &&
weakly_addition_assignable<L, std::invoke_result_t<std::plus<>&, L, R>> &&
weakly_addition_assignable<std::remove_cvref_t<std::invoke_result_t<std::plus<>&, L, R>>, std::invoke_result_t<std::plus<>&, L, R>>;
template<class L, class R = L>
concept subtraction_assignable =
weakly_subtraction_assignable<L, R> &&
weakly_subtraction_assignable<std::remove_cvref_t<std::invoke_result_t<std::minus<>&, L, R>>, R> &&
weakly_subtraction_assignable<L, std::invoke_result_t<std::minus<>&, L, R>> &&
weakly_subtraction_assignable<std::remove_cvref_t<std::invoke_result_t<std::minus<>&, L, R>>, std::invoke_result_t<std::minus<>&, L, R>>;
template<class L, class R = L>
concept multipliation_assignalbe =
weakly_multipliation_assignalbe<L, R> &&
weakly_multipliation_assignalbe<std::remove_cvref_t<std::invoke_result_t<std::multiplies<>&, L, R>>, R> &&
weakly_multipliation_assignalbe<L, std::invoke_result_t<std::multiplies<>&, L, R>> &&
weakly_multipliation_assignalbe<std::remove_cvref_t<std::invoke_result_t<std::multiplies<>&, L, R>>, std::invoke_result_t<std::multiplies<>&, L, R>>;
template<class L, class R = L>
concept division_assignable =
weakly_division_assignable<L, R> &&
weakly_division_assignable<std::remove_cvref_t<std::invoke_result_t<std::divides<>&, L, R>>, R> &&
weakly_division_assignable<L, std::invoke_result_t<std::divides<>&, L, R>> &&
weakly_division_assignable<std::remove_cvref_t<std::invoke_result_t<std::divides<>&, L, R>>, std::invoke_result_t<std::divides<>&, L, R>>;
template<class L, class R = L>
concept remainder_assignable =
weakly_remainder_assignable<L, R> &&
weakly_remainder_assignable<std::remove_cvref_t<std::invoke_result_t<std::modulus<>&, L, R>>, R> &&
weakly_remainder_assignable<L, std::invoke_result_t<std::modulus<>&, L, R>> &&
weakly_remainder_assignable<std::remove_cvref_t<std::invoke_result_t<std::modulus<>&, L, R>>, std::invoke_result_t<std::modulus<>&, L, R>>;
template<class T>
concept weakly_incrementable =
std::movable<T> &&
requires (T v) {
{ ++v } -> std::same_as<T&>;
v++;
};
template<class T>
concept weakly_decrementable =
std::movable<T> &&
requires (T v) {
{ --v } -> std::same_as<T&>;
v--;
};
template<class T>
concept incrementable =
std::regular<T> &&
weakly_incrementable<T> &&
requires (T v) {
{ v++ } -> std::same_as<T>;
};
template<class T>
concept decrementable =
std::regular<T> &&
weakly_decrementable<T> &&
requires (T v) {
{ v-- } -> std::same_as<T>;
};
template<class L, class R = L>
concept weakly_arithmetic_operable =
weakly_addable<L, R> &&
weakly_subtractable<L, R> &&
weakly_multipliable<L, R> &&
weakly_divisable<L, R>;
template<class L, class R = L>
concept weakly_arithmetic_operation_assignable =
weakly_addition_assignable<L, R> &&
weakly_subtraction_assignable<L, R> &&
weakly_multipliation_assignalbe<L, R> &&
weakly_division_assignable<L, R>;
template<class L, class R = L>
concept arithmetic_operable =
weakly_arithmetic_operable<L, R> &&
addable<L, R> &&
subtractable<L, R> &&
multipliable<L, R> &&
divisable<L, R>;
template<class L, class R = L>
concept arithmetic_operation_assignable =
weakly_arithmetic_operation_assignable<L, R> &&
addition_assignable<L, R> &&
subtraction_assignable<L, R> &&
multipliation_assignalbe<L, R> &&
division_assignable<L, R>;
template<class T>
concept unary_addable =
requires (T v) {
{ +v } -> std::same_as<T>;
};
template<class T>
concept unary_subtractable =
requires (T v) {
{ -v } -> std::same_as<T>;
};
template<class T>
concept numeric =
std::regular<T> &&
arithmetic_operable<T> &&
arithmetic_operation_assignable<T> &&
weakly_incrementable<T> &&
unary_addable<T> &&
unary_subtractable<T>;
} // namespace internal
} // namespace uni
#line 2 "internal/resolving_rank.hpp"
namespace uni {
namespace internal {
template<int P> struct resolving_rank : resolving_rank<P-1> {};
template<> struct resolving_rank<0> {};
} // namespace internal
} // namespace uni
#line 2 "internal/exception.hpp"
namespace uni {
namespace internal {
template<class... T> inline constexpr bool EXCEPTION_ON_TYPE = false;
template<auto T> inline constexpr bool EXCEPTION_ON_VALUE = false;
} // namespace internal
} // namespace uni
#line 34 "debugger/debug.hpp"
#line 36 "debugger/debug.hpp"
#include <cxxabi.h>
namespace debugger {
template<class T>
auto _debug (T&& val) -> decltype(val._debug()) {
return val._debug();
}
std::ostream *cdebug = &std::clog;
#ifdef DEBUGGER_COLORED_OUTPUT
constexpr std::string COLOR_LINE = "\033[3;35m";
constexpr std::string COLOR_IDENTIFIER = "\033[32m";
constexpr std::string COLOR_INIT = "\033[m";
constexpr std::string COLOR_STRING = "\033[33m";
constexpr std::string COLOR_TYPE = "\033[34m";
constexpr std::string COLOR_NUMERIC = "\033[36m";
constexpr std::string COLOR_LITERAL_OPERATOR = "\033[31m";
#else
constexpr std::string COLOR_LINE = "";
constexpr std::string COLOR_IDENTIFIER = "";
constexpr std::string COLOR_INIT = "";
constexpr std::string COLOR_STRING = "";
constexpr std::string COLOR_TYPE = "";
constexpr std::string COLOR_NUMERIC = "";
constexpr std::string COLOR_LITERAL_OPERATOR = "";
#endif
using Brackets = std::pair<std::string, std::string>;
template<class T>
std::string dump(T&&);
template<class T>
const std::string get_type_name(T&& val) {
const char* const name = typeid(std::forward<T>(val)).name();
int status = -4;
char* const demangled_name = abi::__cxa_demangle(name, NULL, NULL, &status);
std::string res{name};
if (status == 0) {
res = std::string(demangled_name);
free(demangled_name);
}
return COLOR_TYPE + res + COLOR_INIT;
}
struct debug_t : std::string {
using std::string::string;
debug_t(const std::string& str) {
this->assign(str);
}
};
template<size_t N, class T>
void dump_tuple_impl([[maybe_unused]] T&& val, std::stringstream &res) {
if constexpr(N < std::tuple_size_v<std::remove_cvref_t<T>>) {
res << dump(std::get<N>(val));
if constexpr(N < std::tuple_size_v<std::remove_cvref_t<T>> - 1) res << ", ";
dump_tuple_impl<N + 1>(std::forward<T>(val), res);
}
}
template<std::ranges::input_range R>
std::string dump_range_impl(R&& range, const Brackets& brcs = { "[", "]" }, const std::string& spl = ", ") {
std::stringstream res;
res << brcs.first << " ";
auto itr = std::ranges::begin(range);
auto end = std::ranges::end(std::forward<R>(range));
while(itr != end) {
if(std::ranges::next(itr) == end) res << dump(*itr) << " ";
else res << dump(*itr) << spl;
++itr;
}
res << brcs.second ;
return res.str();
}
std::string dump_debug_t(debug_t info) {
return info;
}
struct dump_primitive_like {
std::string operator()(std::nullptr_t) const {
return COLOR_INIT;
}
template<uni::internal::pointer T>
std::string operator()(const T ptr) const {
return dump(*ptr);
}
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::basic_string>
std::string operator()(T&& val) const {
std::stringstream res;
res << COLOR_STRING << "`" << val << "`" << COLOR_INIT;
return res.str();
}
std::string operator()(const char val) const {
std::stringstream res;
res << COLOR_STRING << "\'" << val << "\'" << COLOR_INIT;
return res.str();
}
std::string operator()(const char val[]) const {
std::stringstream res;
res << COLOR_STRING << "\"" << val << "\"" << COLOR_INIT;
return res.str();
}
std::string operator()(const unsigned char val) const {
std::stringstream res;
res << COLOR_NUMERIC << static_cast<int>(val) << COLOR_INIT;
return res.str();
}
std::string operator()(const bool val) const {
std::stringstream res;
res << COLOR_NUMERIC << (val ? "true" : "false" ) << COLOR_INIT;
return res.str();
}
template<uni::internal::arithmetic T>
std::string operator()(const T val) const {
std::stringstream res;
res << std::setprecision(std::numeric_limits<T>::digits10) << val;
auto str = res.str();
std::string dst = "";
while(str.length() > 3) {
dst = ',' + str.substr(str.length() - 3, 3) + dst;
str = str.substr(0, str.length() - 3);
}
return COLOR_NUMERIC + str + dst + COLOR_LITERAL_OPERATOR + uni::internal::literal_operator_v<T> + COLOR_INIT;
};
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::optional>
std::string operator()(T&& val) const {
if(val.has_value()) return dump(*val);
return COLOR_TYPE + "invalid" + COLOR_INIT;
}
};
struct dump_bitset {
template<std::size_t N>
std::string operator()(const std::bitset<N>& val) const {
std::stringstream res;
res << COLOR_NUMERIC << val.to_string() << COLOR_INIT;
return res.str();
}
};
struct dump_has_val {
template<class T>
requires requires (T val) { val.val(); }
std::string operator()(T&& val) const {
return dump(val.val());
}
};
struct dump_iterator {
template<std::input_or_output_iterator I>
std::string operator()(I&& itr) const {
return COLOR_TYPE + "<iterator> " + COLOR_INIT+ dump(*itr);
}
};
struct dump_wrapper {
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::map>
std::string operator()(T&& val) const {
return dump_range_impl(val, Brackets("{", "}"));
}
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::multimap>
std::string operator()(T&& val) const {
return dump_range_impl(val, Brackets("{", "}"));
}
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::unordered_map>
std::string operator()(T&& val) const {
return dump_range_impl(val, Brackets("{", "}"));
}
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::unordered_multimap>
std::string operator()(T&& val) const {
return dump_range_impl(val, Brackets("{", "}"));
}
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::set>
std::string operator()(T&& val) const {
return dump_range_impl(val, Brackets("{", "}"));
}
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::multiset>
std::string operator()(T&& val) const {
return dump_range_impl(val, Brackets("{", "}"));
}
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::unordered_set>
std::string operator()(T&& val) const {
return dump_range_impl(val, Brackets("{", "}"));
}
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::unordered_multiset>
std::string operator()(T&& val) const {
return dump_range_impl(val, Brackets("{", "}"));
}
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::valarray>
std::string operator()(T&& val) const {
return dump_range_impl(val, Brackets("[", "]"));
}
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::vector>
std::string operator()(T&& val) const {
return dump_range_impl(val, Brackets("[", "]"));
}
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::deque>
std::string operator()(T&& val) const {
return dump_range_impl(val, Brackets("[", "]"));
}
template<uni::internal::derived_from_template<std::queue> T>
std::string operator()(T val) const {
std::vector<typename T::value_type> vec;
while(!val.empty()) vec.emplace_back(val.front()), val.pop();
return dump_range_impl(vec, Brackets("<", ">"));
}
template<uni::internal::derived_from_template<std::stack> T>
std::string operator()(T val) const {
std::vector<typename T::value_type> vec;
while(!val.empty()) vec.emplace_back(val.top()), val.pop();
std::ranges::reverse(vec);
return dump_range_impl(vec, Brackets("<", ">"));
}
template<uni::internal::derived_from_template<std::priority_queue> T>
std::string operator()(T val) const {
std::vector<typename T::value_type> vec;
while(!val.empty()) vec.emplace_back(val.top()), val.pop();
return dump_range_impl(vec, Brackets("<", ">"));
}
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::pair>
std::string operator()(T&& val) const {
std::stringstream res;
res << "( " << dump(val.first) << ", " << dump(val.second) << " )";
return res.str();
}
template<class T>
requires uni::internal::derived_from_template<std::remove_cvref_t<T>, std::tuple>
std::string operator()(T&& val) const {
std::stringstream res;
res << "( ";
dump_tuple_impl<0>(val, res);
res << " )";
return res.str();
}
};
struct dump_range {
template<std::ranges::input_range T>
std::string operator()(T&& val) const {
return dump_range_impl(val);
}
};
struct dump_loggable {
template<uni::internal::loggable T>
std::string operator()(T&& val) const {
auto res = _debug(val);
if constexpr(std::same_as<decltype(res), debug_t>) {
return res;
}
else {
return dump(res);
}
}
};
template<class T>
std::string dump(T&& val) {
if constexpr(std::same_as<std::remove_cvref_t<T>, debug_t>) {
// return "debug_t";
return dump_debug_t(std::forward<T>(val));
}
if constexpr(std::invocable<dump_primitive_like, T>) {
// return "primitive";
return dump_primitive_like{}(std::forward<T>(val));
}
if constexpr(std::invocable<dump_loggable, T>) {
// return "loggable";
return dump_loggable{}(std::forward<T>(val));
}
if constexpr(std::invocable<dump_has_val, T>) {
// return "has val";
return dump_has_val{}(std::forward<T>(val));
}
if constexpr(std::invocable<dump_bitset, T>) {
// return "bitset";
return dump_bitset{}(std::forward<T>(val));
}
if constexpr(std::invocable<dump_iterator, T>) {
// return "iterator";
return dump_iterator{}(std::forward<T>(val));
}
if constexpr(std::invocable<dump_wrapper, T>) {
// return "wrapper";
return dump_wrapper{}(std::forward<T>(val));
}
if constexpr(std::invocable<dump_range, T>) {;
// return "range";
return dump_range{}(std::forward<T>(val));
}
return "== dump error ==";
}
template<class T> void debug(T&& val, const std::string& endl) {
*cdebug << dump(val) << endl << std::flush;
}
constexpr std::string_view WHITESPACES = " \n\r\t\f\v";
std::string ltrim(const std::string &s)
{
size_t start = s.find_first_not_of(WHITESPACES);
return (start == std::string::npos) ? "" : s.substr(start);
}
std::string rtrim(const std::string &s)
{
size_t end = s.find_last_not_of(WHITESPACES);
return (end == std::string::npos) ? "" : s.substr(0, end + 1);
}
std::string trim(const std::string &s) {
return rtrim(ltrim(s));
}
std::vector<std::string> split(const std::string& str) {
static constexpr char SEPARATOR = ',';
static constexpr char ESCAPE = '\\';
static constexpr std::string_view QUOTATIONS = "\"\'";
static constexpr std::string_view PARENTHESES = "()[]{}<>";
static constexpr auto PARENTHESES_KINDS = std::ranges::size(PARENTHESES);
static_assert(PARENTHESES_KINDS % 2 == 0);
std::vector<std::string> res = { "" };
bool quoted = false;
std::array<int,(PARENTHESES_KINDS / 2)> enclosed = { 0 };
for(auto itr = std::ranges::begin(str); itr != std::ranges::end(str); ++itr) {
if(std::ranges::find(QUOTATIONS, *itr) != std::ranges::end(QUOTATIONS)) {
if(itr == std::ranges::begin(str) or *std::ranges::prev(itr) != ESCAPE) {
quoted ^= true;
}
}
if(const auto found = std::ranges::find(PARENTHESES, *itr); found != std::ranges::end(PARENTHESES)) {
if(not quoted) {
auto& target = enclosed[std::ranges::distance(std::begin(PARENTHESES), found) / 2];
target = std::max(0, target - static_cast<int>((std::ranges::distance(std::begin(PARENTHESES), found) % 2) * 2) + 1);
}
}
if(
not quoted
and static_cast<std::size_t>(std::ranges::count(enclosed, 0)) == std::ranges::size(enclosed)
and *itr == SEPARATOR
) {
res.push_back("");
}
else {
res.back() += *itr;
}
}
for(auto&& v : res) v = trim(v);
return res;
}
template<class Arg> void raw(std::nullptr_t, Arg&& arg) { *cdebug << std::forward<Arg>(arg) << std::flush; }
template<class Arg> void raw(Arg&& arg) { *cdebug << dump(std::forward<Arg>(arg)) << std::flush; }
void debug(const std::vector<std::string>, const size_t, const int, const std::string) { debug(nullptr, COLOR_INIT + "\n"); }
std::map<std::pair<std::string, int>, int> count;
template<class Head, class... Tail>
void debug(
const std::vector<std::string> args, const size_t idx,
const int line, const std::string path,
Head&& H, Tail&&... T
) {
if(idx == 0) {
std::string file = path.substr(path.find_last_of("/") + 1);
debug(nullptr, COLOR_LINE + file + " #" + std::to_string(line) + " (" + std::to_string(count[{ file, line }]++) + ")" + COLOR_INIT);
}
debug(nullptr, "\n - ");
const std::string content = dump(H);
const std::string type_name = get_type_name(std::forward<Head>(H));
debug(nullptr, COLOR_IDENTIFIER + args[idx] + COLOR_INIT + " : ");
debug(nullptr, content);
if(type_name.size() + content.size() >= 300) debug(nullptr, "\n ");
debug(nullptr, " " + type_name);
debug(args, idx + 1, 0, path, std::forward<Tail>(T)...);
}
} // namespace debugger
#line 13 "template/debug.hpp"
#ifdef DEBUGGER_ENABLED
#define debug(...) debugger::debug(debugger::split(#__VA_ARGS__), 0, __LINE__, __FILE__, __VA_ARGS__)
#define debug_(...) do { const std::string file = __FILE__; debugger::raw(nullptr, debugger::COLOR_LINE + file.substr(file.find_last_of("/") + 1) + " #" + std::to_string(__LINE__) + debugger::COLOR_INIT + " "); debugger::raw(__VA_ARGS__); debugger::raw(nullptr, debugger::COLOR_INIT + "\n"); } while(0);
#define DEBUG if constexpr(true)
#else
#define debug(...) ({ ; })
#define debug_(...) ({ ; })
#define DEBUG if constexpr(false)
#endif
#line 3 "debugger/test.cpp"
using namespace std;
template<class T = int> struct matrix : vector<vector<T>> {
matrix(size_t h, size_t w, T init = T()) : vector<vector<T>> (h, vector<T> (w, init)) {}
inline T& operator()(size_t i, size_t j) { return (*this)[i][j]; }
};
template<class T = int, class C = vector<T>> struct prime_sieve : C {
prime_sieve(size_t max) : is_prime(max+1, true) {
is_prime[0] = is_prime[1] = false;
for(size_t p=2; p<=max; p++) if(is_prime[p]) {
for(size_t i=p*p; i<=max; i+=p) is_prime[i] = false;
this->emplace_back(p);
}
}
bool operator()(size_t index) {
return is_prime[index];
}
private:
vector<bool> is_prime;
};
template<class T> struct Iterator {
const T* p;
const T& operator*() { return *p; }
Iterator& operator++() { ++p; return *this; }
bool operator!=(const Iterator& v) { return p != v.p; }
ptrdiff_t operator-(const Iterator& v) { return p - v.p; }
};
template<class T> ptrdiff_t distance(Iterator<T>& a, Iterator<T>& b) { return b - a; };
struct MyString {
const char* s;
Iterator<char> begin() { return { s }; }
Iterator<char> end() { return { s + strlen(s) }; }
};
struct MyStructure0 {
MyStructure0(int a, int b, int c, int d) : a(a), b(b), c(c), d(d) {}
vector<int> _debug() const {
return { 0, a + b + c + d, a * b * c * d };
}
private:
int a, b, c, d;
};
struct MyStructure1 {
MyStructure1(int a, int b, int c, int d) : a(a), b(b), c(c), d(d) {}
friend vector<int> _debug(const MyStructure1 &s);
private:
int a, b, c, d;
};
vector<int> _debug(const MyStructure1 &s) {
return { 1, s.a + s.b + s.c + s.d, s.a * s.b * s.c * s.d };
}
// template<unsigned long N> debugger::debug_t _debug(bitset<N> &bist) {
// return bist.to_string();
// }
string _debug(bitset<10UL> bist) {
return bist.to_string();
}
signed main() {
debug('a', "abcdefg", string("abcdefg"));
debug(1, 1U, 1L, 1UL, 1LL, 1ULL, 1.0, 1.0L);
vector<int> vec_1d = { 1, 2, 3, 4 };
debug(vec_1d);
vector<vector<int>> vec_2d = { { 1, 2, 3, 4 }, { 1, 3, 5 }, { 1, 4, 10 } };
debug(vec_2d);
matrix<int> matrix1(10, 5, 0);
debug(matrix1);
matrix matrix2(2, 3, 0.0L);
debug(matrix2);
vector vector_string = { "string", "abcdefg" };
debug(vector_string);
set<int> set_int = { 0, 3, 6, 1, 2, 3, 0 };
debug(set_int);
unordered_set<int> unord_set_int = { 0, 3, 6, 1, 2, 3, 0 };
debug(unord_set_int);
map<int,int> map__int_int = { { 0, 3 }, { 6, 1 }, { 2, 3 } };
debug(map__int_int);
// unordered_map<int,int> unord_map__int_int = { { 0, 3 }, { 6, 1 }, { 2, 3 } };
// debug(unord_map__int_int);
debug(prime_sieve(100));
// debug(MyString{"abcdefg"});
debug(string{string{"abcdefg"}});
static_assert(!uni::internal::is_loggable_v<int>);
static_assert(!uni::internal::is_loggable_v<vector<int>>);
static_assert(uni::internal::is_loggable_v<MyStructure0>);
static_assert(uni::internal::is_loggable_v<MyStructure1>);
MyStructure0 my_structure0 = { 1, 2, 3, 4 };
debug(my_structure0);
MyStructure1 my_structure1 = { 1, 2, 3, 4 };
debug(my_structure1);
pair<int,MyStructure0> pair__my_structure0 = { 0, { 1, 2, 3, 4 } };
debug(pair__my_structure0);
pair<int,MyStructure1> pair__my_structure1 = { 0, { 1, 2, 3, 4 } };
debug(pair__my_structure1);
vector<pair<int,MyStructure0>> vector_pair__my_structure0 = { { 0, { 1, 2, 3, 4 } }, { 1, { 1, 2, 3, 4 } } };
debug(vector_pair__my_structure0);
vector<pair<int,MyStructure1>> vector_pair__my_structure1 = { { 0, { 1, 2, 3, 4 } }, { 1, { 1, 2, 3, 4 } } };
debug(vector_pair__my_structure1);
map<vector<string>,set<pair<int,tuple<string,char,unsigned>>>> complexed = {
{ { "str0", "str1" }, { { 1, { "str2", 'c', 1124 } } } }
};
// static_assert(!uni::internal::wrapping_type_of<map<vector<string>,, std::basic_string>);
debug(complexed);
debug(
map<vector<string>,set<pair<int,tuple<string,char,unsigned>>>> {
{ { "str0", "str1" }, { { 1, { "str2", 'c', 1124 } } } }
}
);
std::queue<int> que;
que.push(3), que.push(1), que.push(4), que.push(1);
debug(que);
std::stack<int> stk;
stk.push(3), stk.push(1), stk.push(4), stk.push(1);
debug(stk);
std::priority_queue<int> prique;
prique.push(3), prique.push(1), prique.push(4), prique.push(1);
debug(prique);
return 0;
}