結果
| 問題 | No.1567 Integer Coefficient Equation |
| ユーザー |
 jell
|
| 提出日時 | 2021-06-26 15:06:48 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 80 ms / 2,000 ms |
| コード長 | 60,955 bytes |
| コンパイル時間 | 4,672 ms |
| コンパイル使用メモリ | 276,928 KB |
| 実行使用メモリ | 7,296 KB |
| 最終ジャッジ日時 | 2024-06-25 10:46:44 |
| 合計ジャッジ時間 | 9,534 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge2 |
（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 | 33 ms
7,296 KB |
| testcase_01 | AC | 34 ms
7,296 KB |
| testcase_02 | AC | 62 ms
7,168 KB |
| testcase_03 | AC | 60 ms
7,168 KB |
| testcase_04 | AC | 62 ms
7,296 KB |
| testcase_05 | AC | 62 ms
7,168 KB |
| testcase_06 | AC | 62 ms
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| testcase_07 | AC | 34 ms
7,296 KB |
| testcase_08 | AC | 34 ms
7,204 KB |
| testcase_09 | AC | 34 ms
7,168 KB |
| testcase_10 | AC | 34 ms
7,168 KB |
| testcase_11 | AC | 33 ms
7,168 KB |
| testcase_12 | AC | 33 ms
7,168 KB |
| testcase_13 | AC | 33 ms
7,296 KB |
| testcase_14 | AC | 33 ms
7,296 KB |
| testcase_15 | AC | 34 ms
7,168 KB |
| testcase_16 | AC | 34 ms
7,168 KB |
| testcase_17 | AC | 80 ms
7,168 KB |
| testcase_18 | AC | 76 ms
7,168 KB |
| testcase_19 | AC | 76 ms
7,296 KB |
| testcase_20 | AC | 77 ms
7,168 KB |
| testcase_21 | AC | 78 ms
7,168 KB |
| testcase_22 | AC | 77 ms
7,168 KB |
| testcase_23 | AC | 75 ms
7,168 KB |
| testcase_24 | AC | 76 ms
7,168 KB |
| testcase_25 | AC | 75 ms
7,296 KB |
| testcase_26 | AC | 78 ms
7,168 KB |
| testcase_27 | AC | 75 ms
7,168 KB |
| testcase_28 | AC | 75 ms
7,168 KB |
| testcase_29 | AC | 76 ms
7,296 KB |
| testcase_30 | AC | 79 ms
7,224 KB |
| testcase_31 | AC | 76 ms
7,296 KB |
| testcase_32 | AC | 75 ms
7,168 KB |
| testcase_33 | AC | 76 ms
7,168 KB |
| testcase_34 | AC | 77 ms
7,168 KB |
| testcase_35 | AC | 78 ms
7,296 KB |
| testcase_36 | AC | 76 ms
7,296 KB |
| testcase_37 | AC | 75 ms
7,168 KB |
| testcase_38 | AC | 77 ms
7,168 KB |
| testcase_39 | AC | 70 ms
7,296 KB |
ソースコード
#line 1 "other-workspace\\yu.cc"
// #undef _GLIBCXX_DEBUG
// #define NDEBUG
#include <bits/extc++.h>
#line 2 "Library\\lib\\alias"
/**
* @file alias
* @brief Alias
*/
#line 10 "Library\\lib\\alias"
#line 2 "Library\\lib\\bit"
#if __cplusplus > 201703L
#include <bit>
#elif __cplusplus > 201402L
#ifndef _GLIBCXX_BIT
#define _GLIBCXX_BIT 1
#include <limits>
#include <type_traits>
namespace std {
template <typename _Tp> constexpr int __countl_zero(_Tp __x) noexcept {
constexpr auto _Nd = numeric_limits<_Tp>::digits;
if (__x == 0) return _Nd;
constexpr auto _Nd_ull = numeric_limits<unsigned long long>::digits;
constexpr auto _Nd_ul = numeric_limits<unsigned long>::digits;
constexpr auto _Nd_u = numeric_limits<unsigned>::digits;
if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_u) {
constexpr int __diff = _Nd_u - _Nd;
return __builtin_clz(__x) - __diff;
} else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ul) {
constexpr int __diff = _Nd_ul - _Nd;
return __builtin_clzl(__x) - __diff;
} else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ull) {
constexpr int __diff = _Nd_ull - _Nd;
return __builtin_clzll(__x) - __diff;
} else // (_Nd > _Nd_ull)
{
static_assert(_Nd <= (2 * _Nd_ull),
"Maximum supported integer size is 128-bit");
unsigned long long __high = __x >> _Nd_ull;
if (__high != 0) {
constexpr int __diff = (2 * _Nd_ull) - _Nd;
return __builtin_clzll(__high) - __diff;
}
constexpr auto __max_ull = numeric_limits<unsigned long long>::max();
unsigned long long __low = __x & __max_ull;
return (_Nd - _Nd_ull) + __builtin_clzll(__low);
}
}
template <typename _Tp> constexpr int __countr_zero(_Tp __x) noexcept {
constexpr auto _Nd = numeric_limits<_Tp>::digits;
if (__x == 0) return _Nd;
constexpr auto _Nd_ull = numeric_limits<unsigned long long>::digits;
constexpr auto _Nd_ul = numeric_limits<unsigned long>::digits;
constexpr auto _Nd_u = numeric_limits<unsigned>::digits;
if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_u)
return __builtin_ctz(__x);
else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ul)
return __builtin_ctzl(__x);
else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ull)
return __builtin_ctzll(__x);
else // (_Nd > _Nd_ull)
{
static_assert(_Nd <= (2 * _Nd_ull),
"Maximum supported integer size is 128-bit");
constexpr auto __max_ull = numeric_limits<unsigned long long>::max();
unsigned long long __low = __x & __max_ull;
if (__low != 0) return __builtin_ctzll(__low);
unsigned long long __high = __x >> _Nd_ull;
return __builtin_ctzll(__high) + _Nd_ull;
}
}
template <typename _Tp> constexpr int __popcount(_Tp __x) noexcept {
constexpr auto _Nd = numeric_limits<_Tp>::digits;
if (__x == 0) return 0;
constexpr auto _Nd_ull = numeric_limits<unsigned long long>::digits;
constexpr auto _Nd_ul = numeric_limits<unsigned long>::digits;
constexpr auto _Nd_u = numeric_limits<unsigned>::digits;
if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_u)
return __builtin_popcount(__x);
else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ul)
return __builtin_popcountl(__x);
else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ull)
return __builtin_popcountll(__x);
else // (_Nd > _Nd_ull)
{
static_assert(_Nd <= (2 * _Nd_ull),
"Maximum supported integer size is 128-bit");
constexpr auto __max_ull = numeric_limits<unsigned long long>::max();
unsigned long long __low = __x & __max_ull;
unsigned long long __high = __x >> _Nd_ull;
return __builtin_popcountll(__low) + __builtin_popcountll(__high);
}
}
template <typename _Tp> constexpr _Tp __bit_ceil(_Tp __x) noexcept {
constexpr auto _Nd = numeric_limits<_Tp>::digits;
if (__x == 0 || __x == 1) return 1;
auto __shift_exponent = _Nd - __countl_zero((_Tp)(__x - 1u));
#ifdef _GLIBCXX_HAVE_BUILTIN_IS_CONSTANT_EVALUATED
if (!__builtin_is_constant_evaluated()) {
__glibcxx_assert(__shift_exponent != numeric_limits<_Tp>::digits);
}
#endif
using __promoted_type = decltype(__x << 1);
if _GLIBCXX17_CONSTEXPR (!is_same<__promoted_type, _Tp>::value) {
const int __extra_exp = sizeof(__promoted_type) / sizeof(_Tp) / 2;
__shift_exponent |= (__shift_exponent & _Nd) << __extra_exp;
}
return (_Tp)1u << __shift_exponent;
}
template <typename _Tp> constexpr _Tp __bit_floor(_Tp __x) noexcept {
constexpr auto _Nd = numeric_limits<_Tp>::digits;
if (__x == 0) return 0;
return (_Tp)1u << (_Nd - __countl_zero((_Tp)(__x >> 1)));
}
template <typename _Tp> constexpr _Tp __bit_width(_Tp __x) noexcept {
constexpr auto _Nd = numeric_limits<_Tp>::digits;
return _Nd - __countl_zero(__x);
}
} // namespace std
#endif
#endif
#line 2 "Library\\lib\\limits"
#line 4 "Library\\lib\\limits"
namespace workspace {
template <class _Tp> struct numeric_limits : std::numeric_limits<_Tp> {};
#ifdef __SIZEOF_INT128__
template <> struct numeric_limits<__uint128_t> {
constexpr static __uint128_t max() { return ~__uint128_t(0); }
constexpr static __uint128_t min() { return 0; }
};
template <> struct numeric_limits<__int128_t> {
constexpr static __int128_t max() {
return numeric_limits<__uint128_t>::max() >> 1;
}
constexpr static __int128_t min() { return -max() - 1; }
};
#endif
} // namespace workspace
#line 13 "Library\\lib\\alias"
namespace workspace {
constexpr static char eol = '\n';
using namespace std;
using i32 = int_least32_t;
using u32 = uint_least32_t;
using i64 = int_least64_t;
using u64 = uint_least64_t;
#ifdef __SIZEOF_INT128__
using i128 = __int128_t;
using u128 = __uint128_t;
#else
#warning 128-bit integer is not available.
#endif
template <class _T1, class _T2,
typename = decltype(std::declval<const _T2 &>() <
std::declval<const _T1 &>())>
constexpr
typename std::conditional<std::is_same<_T1, _T2>::value, const _T1 &,
typename std::common_type<_T1, _T2>::type>::type
min(const _T1 &__x, const _T2 &__y) noexcept {
return __y < __x ? __y : __x;
}
template <class _T1, class _T2, class _Compare,
typename = decltype(std::declval<_Compare>()(
std::declval<const _T2 &>(), std::declval<const _T1 &>()))>
constexpr
typename std::conditional<std::is_same<_T1, _T2>::value, const _T1 &,
typename std::common_type<_T1, _T2>::type>::type
min(const _T1 &__x, const _T2 &__y, _Compare __comp) noexcept {
return __comp(__y, __x) ? __y : __x;
}
template <class _Tp, typename = decltype(std::declval<const _Tp &>() <
std::declval<const _Tp &>())>
constexpr _Tp min(std::initializer_list<_Tp> __x) noexcept {
return *std::min_element(__x.begin(), __x.end());
}
template <class _Tp, class _Compare,
typename = decltype(std::declval<_Compare>()(
std::declval<const _Tp &>(), std::declval<const _Tp &>()))>
constexpr _Tp min(std::initializer_list<_Tp> __x, _Compare __comp) noexcept {
return *std::min_element(__x.begin(), __x.end(), __comp);
}
template <class _T1, class _T2,
typename = decltype(std::declval<const _T1 &>() <
std::declval<const _T2 &>())>
constexpr
typename std::conditional<std::is_same<_T1, _T2>::value, const _T1 &,
typename std::common_type<_T1, _T2>::type>::type
max(const _T1 &__x, const _T2 &__y) noexcept {
return __x < __y ? __y : __x;
}
template <class _T1, class _T2, class _Compare,
typename = decltype(std::declval<_Compare>()(
std::declval<const _T1 &>(), std::declval<const _T2 &>()))>
constexpr
typename std::conditional<std::is_same<_T1, _T2>::value, const _T1 &,
typename std::common_type<_T1, _T2>::type>::type
max(const _T1 &__x, const _T2 &__y, _Compare __comp) noexcept {
return __comp(__x, __y) ? __y : __x;
}
template <class _Tp, typename = decltype(std::declval<const _Tp &>() <
std::declval<const _Tp &>())>
constexpr _Tp max(std::initializer_list<_Tp> __x) noexcept {
return *std::max_element(__x.begin(), __x.end());
}
template <class _Tp, class _Compare,
typename = decltype(std::declval<_Compare>()(
std::declval<const _Tp &>(), std::declval<const _Tp &>()))>
constexpr _Tp max(std::initializer_list<_Tp> __x, _Compare __comp) noexcept {
return *std::max_element(__x.begin(), __x.end(), __comp);
}
#ifdef _GLIBCXX_BIT
template <typename _Tp> constexpr _Tp __bsf(_Tp __x) noexcept {
return std::__countr_zero(__x);
}
template <typename _Tp> constexpr _Tp __bsr(_Tp __x) noexcept {
return std::__bit_width(__x) - 1;
}
#endif
} // namespace workspace
#line 2 "Library\\lib\\cxx20"
/*
* @file cxx20
* @brief C++20 Features
*/
#line 9 "Library\\lib\\cxx20"
#if __cplusplus <= 201703L
#include <algorithm>
#include <vector>
namespace std {
/**
* @brief Erase the elements of a container that do not satisfy the condition.
* @param __cont Container.
* @param __pred Predicate.
* @return Number of the erased elements.
*/
template <typename _Tp, typename _Alloc, typename _Predicate>
inline typename vector<_Tp, _Alloc>::size_type erase_if(
vector<_Tp, _Alloc>& __cont, _Predicate __pred) {
const auto __osz = __cont.size();
__cont.erase(remove_if(__cont.begin(), __cont.end(), __pred), __cont.end());
return __osz - __cont.size();
}
/**
* @brief Erase the elements of a container that are equal to the given value.
* @param __cont Container.
* @param __value Value.
* @return Number of the erased elements.
*/
template <typename _Tp, typename _Alloc, typename _Up>
inline typename vector<_Tp, _Alloc>::size_type erase(
vector<_Tp, _Alloc>& __cont, const _Up& __value) {
const auto __osz = __cont.size();
__cont.erase(remove(__cont.begin(), __cont.end(), __value), __cont.end());
return __osz - __cont.size();
}
} // namespace std
#endif
#line 1 "Library\\lib\\direct"
#ifdef ONLINE_JUDGE
#pragma GCC optimize("O3")
#pragma GCC target("avx,avx2")
#pragma GCC optimize("unroll-loops")
#endif
#line 2 "Library\\lib\\opt"
// #include "src/opt/binary_search.hpp"
// #include "src/opt/trinary_search.hpp"
// #include "src/opt/exponential_search.hpp"
#line 2 "Library\\src\\opt\\golden_section.hpp"
/**
* @file golden_section.hpp
* @brief Golden Section
*/
#include <type_traits>
#line 2 "Library\\src\\algebra\\system\\operation.hpp"
/**
* @file operation.hpp
* @brief Operation Traits
*/
#line 9 "Library\\src\\algebra\\system\\operation.hpp"
namespace workspace {
// Unary `+`
template <class _Tp>
using require_unary_plus = std::enable_if_t<
std::is_convertible<decltype(+std::declval<const _Tp &>()), _Tp>::value>;
template <class _Tp, class = void> struct has_unary_plus : std::false_type {};
template <class _Tp>
struct has_unary_plus<_Tp, require_unary_plus<_Tp>> : std::true_type {};
// Unary `-`
template <class _Tp>
using require_unary_minus = std::enable_if_t<
std::is_convertible<decltype(-std::declval<const _Tp &>()), _Tp>::value>;
template <class _Tp, class = void> struct has_unary_minus : std::false_type {};
template <class _Tp>
struct has_unary_minus<_Tp, require_unary_minus<_Tp>> : std::true_type {};
// Binary `+`
template <class _Tp1, class _Tp2 = _Tp1>
using require_binary_plus =
std::enable_if_t<std::is_convertible<decltype(std::declval<const _Tp1 &>() +
std::declval<const _Tp2 &>()),
_Tp1>::value>;
template <class _Tp1, class _Tp2 = _Tp1, class = void>
struct has_binary_plus : std::false_type {};
template <class _Tp1, class _Tp2>
struct has_binary_plus<_Tp1, _Tp2, require_binary_plus<_Tp1, _Tp2>>
: std::true_type {};
// Binary `-`
template <class _Tp1, class _Tp2 = _Tp1>
using require_binary_minus = std::__void_t<decltype(
std::declval<const _Tp1 &>() - std::declval<const _Tp2 &>())>;
template <class _Tp1, class _Tp2 = _Tp1, class = void>
struct has_binary_minus : std::false_type {};
template <class _Tp1, class _Tp2>
struct has_binary_minus<_Tp1, _Tp2, require_binary_minus<_Tp1, _Tp2>>
: std::true_type {};
// Binary `*`
template <class _Tp1, class _Tp2 = _Tp1>
using require_binary_multiplies =
std::enable_if_t<std::is_convertible<decltype(std::declval<const _Tp1 &>() *
std::declval<const _Tp2 &>()),
_Tp1>::value>;
template <class _Tp1, class _Tp2 = _Tp1, class = void>
struct has_binary_multiplies : std::false_type {};
template <class _Tp1, class _Tp2>
struct has_binary_multiplies<_Tp1, _Tp2, require_binary_multiplies<_Tp1, _Tp2>>
: std::true_type {};
// Binary `/`
template <class _Tp1, class _Tp2 = _Tp1>
using require_binary_divides =
std::enable_if_t<std::is_convertible<decltype(std::declval<const _Tp1 &>() /
std::declval<const _Tp2 &>()),
_Tp1>::value>;
template <class _Tp1, class _Tp2 = _Tp1, class = void>
struct has_binary_divides : std::false_type {};
template <class _Tp1, class _Tp2>
struct has_binary_divides<_Tp1, _Tp2, require_binary_divides<_Tp1, _Tp2>>
: std::true_type {};
// Binary `%`
template <class _Tp1, class _Tp2 = _Tp1>
using require_binary_modulus =
std::enable_if_t<std::is_convertible<decltype(std::declval<const _Tp1 &>() %
std::declval<const _Tp2 &>()),
_Tp1>::value>;
template <class _Tp1, class _Tp2 = _Tp1, class = void>
struct has_binary_modulus : std::false_type {};
template <class _Tp1, class _Tp2>
struct has_binary_modulus<_Tp1, _Tp2, require_binary_modulus<_Tp1, _Tp2>>
: std::true_type {};
} // namespace workspace
#line 11 "Library\\src\\opt\\golden_section.hpp"
namespace workspace {
/**
* @brief Golden section search.
*/
template <class _Iterator, class _Function>
std::enable_if_t<has_binary_minus<_Iterator>::value, _Iterator> golden_section(
_Iterator __first, _Iterator __last, _Function&& __f) {
if (__last - __first < 2) return __first;
decltype(__last - __first) __a{1}, __b{2};
while (__a + __b <= __last - __first) std::swap(__a += __b, __b);
auto __f1 = __f(__last - __b), __f2 = __f(__last - __a);
while (__a != 1) {
std::swap(__a, __b -= __a);
if (__f2 < __f1)
__f1 = __f2, __f2 = __f(__last - __a);
else if ((__last -= __b) - __first < __b)
std::swap(__a, __b -= __a), __f2 = __f(__last - __a);
else
__f2 = __f1, __f1 = __f(__last - __b);
}
return __f1 < __f2 ? __last - __b : __last - __a;
}
} // namespace workspace
#line 2 "Library\\src\\opt\\bisection.hpp"
/**
* @file bisection.hpp
* @brief Bisection
*/
namespace workspace {
/**
* @brief Bisection method.
* @param __first
* @param __last
* @param __pred
*/
template <class _Iterator, class _Predicate>
_Iterator bisection(_Iterator __first, _Iterator __last, _Predicate &&__pred) {
_Iterator __mid;
for (decltype(__last - __first) __w = 0; __w < __last - __first;
__w = __w << 1 | 1) {
__mid = __first + __w;
if (!__pred(__mid)) {
__last = __mid;
break;
}
__first = __mid;
}
while (1 < __last - __first) {
__mid = __first + (__last - __first) / 2;
(__pred(__mid) ? __first : __last) = __mid;
}
return __last;
}
/**
* @brief Bisection method.
* @param __first
* @param __last
* @param __pred
* @param __eps
*/
template <class _Iterator, class _Predicate, class _Difference>
_Iterator bisection(_Iterator __first, _Iterator __last, _Predicate &&__pred,
_Difference __eps) {
while (__eps < _Difference(__last - __first)) {
_Iterator __mid = __first + (__last - __first) / 2;
(__pred(__mid) ? __first : __last) = __mid;
}
return __last;
}
} // namespace workspace
#line 2 "Library\\src\\sys\\call_once.hpp"
/**
* @file call_once.hpp
* @brief Call Once
*/
#line 9 "Library\\src\\sys\\call_once.hpp"
namespace workspace {
/**
* @brief Call once.
*/
template <class _F> void call_once(_F &&__f) {
static std::unordered_set<void *> __called;
if (__called.count(std::addressof(__f))) return;
__called.emplace(std::addressof(__f));
__f();
}
} // namespace workspace
#line 2 "Library\\src\\sys\\clock.hpp"
/**
* @file clock.hpp
* @brief Clock
*/
#line 9 "Library\\src\\sys\\clock.hpp"
namespace workspace {
using namespace std::chrono;
namespace internal {
// The start time of the program.
const auto start_time{system_clock::now()};
} // namespace internal
/**
* @return Elapsed time of the program.
*/
decltype(auto) elapsed() noexcept {
const auto end_time{system_clock::now()};
return duration_cast<milliseconds>(end_time - internal::start_time).count();
}
} // namespace workspace
#line 2 "Library\\src\\sys\\ejection.hpp"
/**
* @file ejection.hpp
* @brief Ejection
*/
#line 9 "Library\\src\\sys\\ejection.hpp"
namespace workspace {
namespace internal {
struct ejection {
bool exit = 0;
};
} // namespace internal
/**
* @brief eject from a try block, throw nullptr
* @param arg output
*/
template <class Tp> void eject(Tp const &arg) {
std::cout << arg << "\n";
throw internal::ejection{};
}
void exit() { throw internal::ejection{true}; }
} // namespace workspace
#line 2 "Library\\src\\sys\\iteration.hpp"
/**
* @file iteration.hpp
* @brief Case Iteration
*/
#line 9 "Library\\src\\sys\\iteration.hpp"
#line 11 "Library\\src\\sys\\iteration.hpp"
namespace workspace {
void main();
struct {
// 1-indexed
unsigned current{0};
unsigned total{1};
void read() { (std::cin >> total).ignore(); }
int iterate() {
static bool once = false;
assert(!once);
once = true;
while (current++ < total) {
try {
main();
} catch (internal::ejection const& status) {
if (status.exit) break;
}
}
return 0;
}
} case_info;
} // namespace workspace
#line 2 "Library\\lib\\utils"
// #include "src/utils/cached.hpp"
#line 2 "Library\\src\\utils\\cat.hpp"
/**
* @file cat.hpp
* @brief Cat
*/
#line 9 "Library\\src\\utils\\cat.hpp"
#line 2 "Library\\lib\\cxx17"
#ifndef _CXX17_CONSTEXPR
#if __cplusplus >= 201703L
#define _CXX17_CONSTEXPR constexpr
#else
#define _CXX17_CONSTEXPR
#endif
#endif
#if __cplusplus < 201703L
namespace std {
/**
* @brief Return the size of a container.
* @param __cont Container.
*/
template <typename _Container>
constexpr auto size(const _Container& __cont) noexcept(noexcept(__cont.size()))
-> decltype(__cont.size()) {
return __cont.size();
}
/**
* @brief Return the size of an array.
*/
template <typename _Tp, size_t _Nm>
constexpr size_t size(const _Tp (&)[_Nm]) noexcept {
return _Nm;
}
} // namespace std
#endif
#line 11 "Library\\src\\utils\\cat.hpp"
namespace workspace {
/**
* @brief Concatenate two sequences.
*
* @param __c1
* @param __c2
* @return Concatenated sequence.
*/
template <class _C1, class _C2>
constexpr decltype(auto) cat(_C1 &&__c1, _C2 &&__c2) noexcept {
auto __c = std::forward<_C1>(__c1);
if _CXX17_CONSTEXPR (std::is_rvalue_reference<decltype(__c2)>::value)
__c.insert(std::end(__c), std::make_move_iterator(std::begin(__c2)),
std::make_move_iterator(std::end(__c2)));
else
__c.insert(std::end(__c), std::cbegin(__c2), std::cend(__c2));
return __c;
}
/**
* @return Concatenated sequence.
*/
template <class _C1, class _C2, class... _Args>
constexpr decltype(auto) cat(_C1 &&__c1, _C2 &&__c2,
_Args &&...__args) noexcept {
return cat(cat(std::forward<_C1>(__c1), std::forward<_C2>(__c2)),
std::forward<_Args>(__args)...);
}
} // namespace workspace
#line 2 "Library\\src\\utils\\chval.hpp"
/**
* @file chval.hpp
* @brief Change Less/Greater
*/
#line 9 "Library\\src\\utils\\chval.hpp"
namespace workspace {
/**
* @brief Substitute __y for __x if __y < __x.
* @param __x Reference
* @param __y Comparison target
* @return Whether or not __x is updated.
*/
template <class _T1, class _T2,
typename = decltype(std::declval<_T2>() < std::declval<_T1 &>())>
typename std::enable_if<std::is_assignable<_T1 &, _T2>::value, bool>::type chle(
_T1 &__x, _T2 &&__y) noexcept {
return __y < __x ? __x = std::forward<_T2>(__y), true : false;
}
/**
* @brief Substitute __y for __x if __x < __y.
* @param __x Reference
* @param __y Comparison target
* @return Whether or not __x is updated.
*/
template <class _T1, class _T2,
typename = decltype(std::declval<_T1 &>() < std::declval<_T2>())>
typename std::enable_if<std::is_assignable<_T1 &, _T2>::value, bool>::type chgr(
_T1 &__x, _T2 &&__y) noexcept {
return __x < __y ? __x = std::forward<_T2>(__y), true : false;
}
/**
* @brief Substitute __y for __x if __comp(__y, __x) is true.
* @param __x Reference
* @param __y Comparison target
* @param __comp Compare function object
* @return Whether or not __x is updated.
*/
template <class _T1, class _T2, class _Compare,
typename = decltype(std::declval<_Compare>()(std::declval<_T2>(),
std::declval<_T1 &>()))>
typename std::enable_if<std::is_assignable<_T1 &, _T2>::value, bool>::type chle(
_T1 &__x, _T2 &&__y, _Compare __comp) noexcept {
return __comp(__y, __x) ? __x = std::forward<_T2>(__y), true : false;
}
/**
* @brief Substitute __y for __x if __comp(__x, __y) is true.
* @param __x Reference
* @param __y Comparison target
* @param __comp Compare function object
* @return Whether or not __x is updated.
*/
template <class _T1, class _T2, class _Compare,
typename = decltype(std::declval<_Compare>()(std::declval<_T1 &>(),
std::declval<_T2>()))>
typename std::enable_if<std::is_assignable<_T1 &, _T2>::value, bool>::type chgr(
_T1 &__x, _T2 &&__y, _Compare __comp) noexcept {
return __comp(__x, __y) ? __x = std::forward<_T2>(__y), true : false;
}
} // namespace workspace
#line 1 "Library\\src\\utils\\compare.hpp"
/**
* @file compare.hpp
* @brief Compare
*/
#line 2 "Library\\src\\utils\\sfinae.hpp"
/**
* @file sfinae.hpp
* @brief SFINAE
*/
#line 11 "Library\\src\\utils\\sfinae.hpp"
#ifndef __INT128_DEFINED__
#ifdef __SIZEOF_INT128__
#define __INT128_DEFINED__ 1
#else
#define __INT128_DEFINED__ 0
#endif
#endif
namespace std {
#if __INT128_DEFINED__
template <> struct make_signed<__uint128_t> { using type = __int128_t; };
template <> struct make_signed<__int128_t> { using type = __int128_t; };
template <> struct make_unsigned<__uint128_t> { using type = __uint128_t; };
template <> struct make_unsigned<__int128_t> { using type = __uint128_t; };
template <> struct is_signed<__uint128_t> : std::false_type {};
template <> struct is_signed<__int128_t> : std::true_type {};
template <> struct is_unsigned<__uint128_t> : std::true_type {};
template <> struct is_unsigned<__int128_t> : std::false_type {};
#endif
} // namespace std
namespace workspace {
template <class Tp, class... Args> struct variadic_front { using type = Tp; };
template <class... Args> struct variadic_back;
template <class Tp> struct variadic_back<Tp> { using type = Tp; };
template <class Tp, class... Args> struct variadic_back<Tp, Args...> {
using type = typename variadic_back<Args...>::type;
};
template <class type, template <class> class trait>
using enable_if_trait_type = typename std::enable_if<trait<type>::value>::type;
/**
* @brief Return type of subscripting ( @c [] ) access.
*/
template <class _Tp>
using subscripted_type =
typename std::decay<decltype(std::declval<_Tp&>()[0])>::type;
template <class Container>
using element_type = typename std::decay<decltype(
*std::begin(std::declval<Container&>()))>::type;
template <class _Tp, class = std::nullptr_t>
struct has_begin : std::false_type {};
template <class _Tp>
struct has_begin<_Tp, decltype(std::begin(std::declval<_Tp>()), nullptr)>
: std::true_type {};
template <class _Tp, class = void> struct has_mod : std::false_type {};
template <class _Tp>
struct has_mod<_Tp, std::__void_t<decltype(_Tp::mod)>> : std::true_type {};
template <class _Tp, class = void> struct is_integral_ext : std::false_type {};
template <class _Tp>
struct is_integral_ext<
_Tp, typename std::enable_if<std::is_integral<_Tp>::value>::type>
: std::true_type {};
#if __INT128_DEFINED__
template <> struct is_integral_ext<__int128_t> : std::true_type {};
template <> struct is_integral_ext<__uint128_t> : std::true_type {};
#endif
#if __cplusplus >= 201402
template <class _Tp>
constexpr static bool is_integral_ext_v = is_integral_ext<_Tp>::value;
#endif
template <typename _Tp, typename = void> struct multiplicable_uint {
using type = uint_least32_t;
};
template <typename _Tp>
struct multiplicable_uint<
_Tp,
typename std::enable_if<(2 < sizeof(_Tp)) &&
(!__INT128_DEFINED__ || sizeof(_Tp) <= 4)>::type> {
using type = uint_least64_t;
};
#if __INT128_DEFINED__
template <typename _Tp>
struct multiplicable_uint<_Tp,
typename std::enable_if<(4 < sizeof(_Tp))>::type> {
using type = __uint128_t;
};
#endif
template <typename _Tp> struct multiplicable_int {
using type =
typename std::make_signed<typename multiplicable_uint<_Tp>::type>::type;
};
template <typename _Tp> struct multiplicable {
using type = std::conditional_t<
is_integral_ext<_Tp>::value,
std::conditional_t<std::is_signed<_Tp>::value,
typename multiplicable_int<_Tp>::type,
typename multiplicable_uint<_Tp>::type>,
_Tp>;
};
template <class> struct first_arg { using type = void; };
template <class _R, class _Tp, class... _Args>
struct first_arg<_R(_Tp, _Args...)> {
using type = _Tp;
};
template <class _R, class _Tp, class... _Args>
struct first_arg<_R (*)(_Tp, _Args...)> {
using type = _Tp;
};
template <class _G, class _R, class _Tp, class... _Args>
struct first_arg<_R (_G::*)(_Tp, _Args...)> {
using type = _Tp;
};
template <class _G, class _R, class _Tp, class... _Args>
struct first_arg<_R (_G::*)(_Tp, _Args...) const> {
using type = _Tp;
};
template <class _Tp, class = void> struct parse_compare : first_arg<_Tp> {};
template <class _Tp>
struct parse_compare<_Tp, std::__void_t<decltype(&_Tp::operator())>>
: first_arg<decltype(&_Tp::operator())> {};
} // namespace workspace
#line 7 "Library\\src\\utils\\compare.hpp"
#if __cplusplus >= 201703L
namespace workspace {
/**
* @brief Compare 2 points by their value of `atan2`.
*
* @return
*/
template <class _Tp>
bool compare_arg(const _Tp& __p1, const _Tp& __p2) noexcept {
const auto& [__x1, __y1] = __p1;
const auto& [__x2, __y2] = __p2;
using value_type = std::decay_t<decltype(__x1)>;
using mul_type = typename multiplicable<value_type>::type;
if (__y1 == value_type(0))
return value_type(0) <= __x1 &&
(value_type(0) < __y2 ||
(__y2 == value_type(0) && __x2 < value_type(0)));
return value_type(0) < __y1
? value_type(0) <= __y2 &&
mul_type(__y1) * __x2 < mul_type(__x1) * __y2
: value_type(0) <= __y2 ||
mul_type(__y1) * __x2 < mul_type(__x1) * __y2;
}
} // namespace workspace
#endif
#line 6 "Library\\lib\\utils"
// #include "src/utils/fixed_point.hpp"
// #include "src/utils/hash.hpp"
// #include "src/utils/io/istream.hpp"
#line 2 "Library\\src\\utils\\io\\ostream.hpp"
/**
* @file ostream.hpp
* @brief Output Stream
*/
#line 9 "Library\\src\\utils\\io\\ostream.hpp"
#line 11 "Library\\src\\utils\\io\\ostream.hpp"
namespace workspace {
template <class _Os> struct is_ostream {
template <typename... _Args>
static std::true_type __test(std::basic_ostream<_Args...> *);
static std::false_type __test(void *);
constexpr static bool value = decltype(__test(std::declval<_Os *>()))::value;
};
template <class _Os>
using ostream_ref =
typename std::enable_if<is_ostream<_Os>::value, _Os &>::type;
/**
* @brief Stream insertion operator for C-style array.
*
* @param __os Output stream
* @param __a Array
* @return Reference to __os.
*/
template <class _Os, class _Tp, size_t _Nm>
typename std::enable_if<bool(sizeof(_Tp) > 2), ostream_ref<_Os>>::type
operator<<(_Os &__os, const _Tp (&__a)[_Nm]) {
if _CXX17_CONSTEXPR (_Nm) {
__os << *__a;
for (auto __i = __a + 1, __e = __a + _Nm; __i != __e; ++__i)
__os << ' ' << *__i;
}
return __os;
}
/**
* @brief Stream insertion operator for std::array.
*
* @param __os Output stream
* @param __a Array
* @return Reference to __os.
*/
template <class _Os, class _Tp, size_t _Nm>
ostream_ref<_Os> operator<<(_Os &__os, const std::array<_Tp, _Nm> &__a) {
if _CXX17_CONSTEXPR (_Nm) {
__os << __a[0];
for (size_t __i = 1; __i != _Nm; ++__i) __os << ' ' << __a[__i];
}
return __os;
}
/**
* @brief Stream insertion operator for std::pair.
*
* @param __os Output stream
* @param __p Pair
* @return Reference to __os.
*/
template <class _Os, class _T1, class _T2>
ostream_ref<_Os> operator<<(_Os &__os, const std::pair<_T1, _T2> &__p) {
return __os << __p.first << ' ' << __p.second;
}
/**
* @brief Stream insertion operator for std::tuple.
*
* @param __os Output stream
* @param __t Tuple
* @return Reference to __os.
*/
template <class _Os, class _Tp, size_t _Nm = 0>
typename std::enable_if<bool(std::tuple_size<_Tp>::value + 1),
ostream_ref<_Os>>::type
operator<<(_Os &__os, const _Tp &__t) {
if _CXX17_CONSTEXPR (_Nm != std::tuple_size<_Tp>::value) {
if _CXX17_CONSTEXPR (_Nm) __os << ' ';
__os << std::get<_Nm>(__t);
operator<<<_Os, _Tp, _Nm + 1>(__os, __t);
}
return __os;
}
template <class _Os, class _Container,
typename = decltype(std::begin(std::declval<_Container>()))>
typename std::enable_if<
!std::is_same<std::decay_t<_Container>, std::string>::value &&
!std::is_same<std::decay_t<_Container>, char *>::value,
ostream_ref<_Os>>::type
operator<<(_Os &__os, const _Container &__cont) {
bool __h = true;
for (auto &&__e : __cont) __h ? __h = 0 : (__os << ' ', 0), __os << __e;
return __os;
}
#ifdef __SIZEOF_INT128__
/**
* @brief Stream insertion operator for __int128_t.
*
* @param __os Output Stream
* @param __x 128-bit integer
* @return Reference to __os.
*/
template <class _Os> ostream_ref<_Os> operator<<(_Os &__os, __int128_t __x) {
if (!__x) return __os << '0';
if (__x < 0) __os << '-';
char __s[40], *__p = __s;
while (__x) {
auto __d = __x % 10;
*__p++ = '0' + (__x < 0 ? -__d : __d);
__x /= 10;
}
*__p = 0;
for (char *__t = __s; __t < --__p; ++__t) *__t ^= *__p ^= *__t ^= *__p;
return __os << __s;
}
/**
* @brief Stream insertion operator for __uint128_t.
*
* @param __os Output Stream
* @param __x 128-bit unsigned integer
* @return Reference to __os.
*/
template <class _Os> ostream_ref<_Os> operator<<(_Os &__os, __uint128_t __x) {
if (!__x) return __os << '0';
char __s[40], *__p = __s;
while (__x) *__p++ = '0' + __x % 10, __x /= 10;
*__p = 0;
for (char *__t = __s; __t < --__p; ++__t) *__t ^= *__p ^= *__t ^= *__p;
return __os << __s;
}
#endif
} // namespace workspace
#line 10 "Library\\lib\\utils"
// #include "src/utils/io/read.hpp"
#line 2 "Library\\src\\utils\\grid\\motion.hpp"
/**
* @file motion.hpp
* @brief Motion
*/
#line 9 "Library\\src\\utils\\grid\\motion.hpp"
#line 11 "Library\\src\\utils\\grid\\motion.hpp"
namespace workspace {
/**
* @brief Transpose.
* @param __grid
*/
template <class _Grid,
typename = decltype(std::declval<std::decay_t<_Grid>>()[0].resize(0))>
constexpr decltype(auto) transpose(_Grid &&__grid) noexcept {
#if __cplusplus < 201703L
auto __h = __grid.size(), __w = __grid[0].size();
#else
auto __h = std::size(__grid), __w = std::size(__grid[0]);
#endif
std::decay_t<_Grid> __t(__w);
for (auto &&__r : __t) __r.resize(__h);
for (size_t __i = 0; __i != __h; ++__i)
for (size_t __j = 0; __j != __w; ++__j)
if _CXX17_CONSTEXPR (std::is_rvalue_reference<decltype(__grid)>::value)
__t[__j][__i] = std::move(__grid[__i][__j]);
else
__t[__j][__i] = __grid[__i][__j];
return __t;
}
/**
* @brief Transpose.
* @param __grid
*/
template <class _Tp, size_t _Rows, size_t _Cols>
constexpr decltype(auto) transpose(const _Tp (&__grid)[_Rows][_Cols]) noexcept {
std::array<std::array<_Tp, _Rows>, _Cols> __t;
for (size_t __i = 0; __i != _Rows; ++__i)
for (size_t __j = 0; __j != _Cols; ++__j) __t[__j][__i] = __grid[__i][__j];
return __t;
}
/**
* @brief Transpose.
* @param __grid
*/
template <class _Tp, size_t _Rows, size_t _Cols>
constexpr decltype(auto) transpose(_Tp(&&__grid)[_Rows][_Cols]) noexcept {
std::array<std::array<_Tp, _Rows>, _Cols> __t;
for (size_t __i = 0; __i != _Rows; ++__i)
for (size_t __j = 0; __j != _Cols; ++__j)
__t[__j][__i] = std::move(__grid[__i][__j]);
return __t;
}
/**
* @brief Transpose.
* @param __grid
*/
template <class _Tp, size_t _Rows, size_t _Cols>
constexpr decltype(auto) transpose(
const std::array<std::array<_Tp, _Cols>, _Rows> &__grid) noexcept {
std::array<std::array<_Tp, _Rows>, _Cols> __t;
for (size_t __i = 0; __i != _Rows; ++__i)
for (size_t __j = 0; __j != _Cols; ++__j) __t[__j][__i] = __grid[__i][__j];
return __t;
}
/**
* @brief Transpose.
* @param __grid
*/
template <class _Tp, size_t _Rows, size_t _Cols>
constexpr decltype(auto) transpose(
std::array<std::array<_Tp, _Cols>, _Rows> &&__grid) noexcept {
std::array<std::array<_Tp, _Rows>, _Cols> __t;
for (size_t __i = 0; __i != _Rows; ++__i)
for (size_t __j = 0; __j != _Cols; ++__j)
__t[__j][__i] = std::move(__grid[__i][__j]);
return __t;
}
/**
* @brief Roll the grid counter-clockwise.
* @param __grid
*/
template <class _Grid> decltype(auto) roll_ccw(_Grid &&__grid) noexcept {
if _CXX17_CONSTEXPR (std::is_rvalue_reference<decltype(__grid)>::value) {
auto __t = transpose(std::move(__grid));
std::reverse(std::begin(__t), std::end(__t));
return __t;
} else {
auto __t = transpose(__grid);
std::reverse(std::begin(__t), std::end(__t));
return __t;
}
}
/**
* @brief Roll the grid clockwise.
* @param __grid
*/
template <class _Grid> decltype(auto) roll_cw(_Grid &&__grid) noexcept {
if _CXX17_CONSTEXPR (std::is_rvalue_reference<decltype(__grid)>::value) {
std::reverse(std::begin(__grid), std::end(__grid));
return transpose(std::move(__grid));
} else {
auto __t = transpose(__grid);
for (auto &&__r : __t) std::reverse(std::begin(__r), std::end(__r));
return __t;
}
}
} // namespace workspace
#line 2 "Library\\src\\utils\\io\\setup.hpp"
/**
* @file setup.hpp
* @brief I/O Setup
*/
#line 10 "Library\\src\\utils\\io\\setup.hpp"
namespace workspace {
/**
* @brief Setup I/O.
* @param __n Standard output precision
*/
void io_setup(int __n) {
std::cin.tie(0)->sync_with_stdio(0);
std::cout << std::fixed << std::setprecision(__n);
#ifdef _buffer_check
atexit([] {
char bufc;
if (std::cin >> bufc)
std::cerr << "\n\033[43m\033[30mwarning: buffer not empty.\033[0m\n\n";
});
#endif
}
} // namespace workspace
#line 2 "Library\\src\\utils\\iterator\\category.hpp"
/*
* @file category.hpp
* @brief Iterator Category
*/
#line 10 "Library\\src\\utils\\iterator\\category.hpp"
namespace workspace {
/*
* @tparam Tuple Tuple of iterator types
*/
template <class Tuple, size_t N = std::tuple_size<Tuple>::value - 1>
struct common_iterator_category {
using type = typename std::common_type<
typename common_iterator_category<Tuple, N - 1>::type,
typename std::iterator_traits<typename std::tuple_element<
N, Tuple>::type>::iterator_category>::type;
};
template <class Tuple> struct common_iterator_category<Tuple, 0> {
using type = typename std::iterator_traits<
typename std::tuple_element<0, Tuple>::type>::iterator_category;
};
} // namespace workspace
#line 2 "Library\\src\\utils\\iterator\\reverse.hpp"
/*
* @file reverse_iterator.hpp
* @brief Reverse Iterator
*/
#if __cplusplus >= 201703L
#include <iterator>
#include <optional>
namespace workspace {
/*
* @class reverse_iterator
* @brief Wrapper class for `std::reverse_iterator`.
* @see http://gcc.gnu.org/PR51823
*/
template <class Iterator>
class reverse_iterator : public std::reverse_iterator<Iterator> {
using base_std = std::reverse_iterator<Iterator>;
std::optional<typename base_std::value_type> deref;
public:
using base_std::reverse_iterator;
constexpr typename base_std::reference operator*() noexcept {
if (!deref) {
Iterator tmp = base_std::current;
deref = *--tmp;
}
return deref.value();
}
constexpr reverse_iterator &operator++() noexcept {
base_std::operator++();
deref.reset();
return *this;
}
constexpr reverse_iterator &operator--() noexcept {
base_std::operator++();
deref.reset();
return *this;
}
constexpr reverse_iterator operator++(int) noexcept {
base_std::operator++();
deref.reset();
return *this;
}
constexpr reverse_iterator operator--(int) noexcept {
base_std::operator++();
deref.reset();
return *this;
}
};
} // namespace workspace
#endif
#line 15 "Library\\lib\\utils"
// #include "src/utils/make_vector.hpp"
#line 2 "Library\\src\\utils\\py-like\\enumerate.hpp"
/**
* @file enumerate.hpp
* @brief Enumerate
*/
#line 2 "Library\\src\\utils\\py-like\\range.hpp"
/**
* @file range.hpp
* @brief Range
*/
#line 9 "Library\\src\\utils\\py-like\\range.hpp"
#line 2 "Library\\src\\utils\\py-like\\reversed.hpp"
/**
* @file reversed.hpp
* @brief Reversed
*/
#include <initializer_list>
#line 10 "Library\\src\\utils\\py-like\\reversed.hpp"
namespace workspace {
namespace _reversed_impl {
template <class _Container> class reversed {
_Container __cont;
public:
constexpr reversed(_Container &&__cont) noexcept : __cont(__cont) {}
constexpr decltype(auto) begin() noexcept { return std::rbegin(__cont); }
constexpr decltype(auto) begin() const noexcept {
return std::rbegin(__cont);
}
constexpr decltype(auto) end() noexcept { return std::rend(__cont); }
constexpr decltype(auto) end() const noexcept { return std::rend(__cont); }
constexpr decltype(auto) size() const noexcept {
return
#if __cplusplus < 201703L
__cont.size();
#else
std::size(__cont);
#endif
}
};
} // namespace _reversed_impl
template <class _Container>
constexpr decltype(auto) reversed(_Container &&__cont) noexcept {
return _reversed_impl::reversed<_Container>{std::forward<_Container>(__cont)};
}
template <class _Tp>
constexpr decltype(auto) reversed(
std::initializer_list<_Tp> &&__cont) noexcept {
return _reversed_impl::reversed<std::initializer_list<_Tp>>{
std::forward<std::initializer_list<_Tp>>(__cont)};
}
} // namespace workspace
#line 12 "Library\\src\\utils\\py-like\\range.hpp"
#if __cplusplus >= 201703L
namespace workspace {
template <class _Index> class range {
_Index __first, __last;
public:
class iterator {
_Index current;
public:
using difference_type = std::ptrdiff_t;
using value_type = _Index;
using reference = typename std::add_const<_Index>::type &;
using pointer = iterator;
using iterator_category = std::random_access_iterator_tag;
constexpr iterator(const _Index &__i = _Index()) noexcept : current(__i) {}
constexpr bool operator==(const iterator &__x) const noexcept {
return current == __x.current;
}
constexpr bool operator!=(const iterator &__x) const noexcept {
return current != __x.current;
}
constexpr bool operator<(const iterator &__x) const noexcept {
return current < __x.current;
}
constexpr bool operator<=(const iterator &__x) const noexcept {
return current <= __x.current;
}
constexpr bool operator>(const iterator &__x) const noexcept {
return current > __x.current;
}
constexpr bool operator>=(const iterator &__x) const noexcept {
return current >= __x.current;
}
constexpr iterator &operator++() noexcept {
++current;
return *this;
}
constexpr iterator &operator++(int) noexcept {
auto __tmp = *this;
++current;
return __tmp;
}
constexpr iterator &operator--() noexcept {
--current;
return *this;
}
constexpr iterator &operator--(int) noexcept {
auto __tmp = *this;
--current;
return __tmp;
}
constexpr difference_type operator-(const iterator &__x) const noexcept {
return current - __x.current;
}
constexpr iterator &operator+=(difference_type __x) noexcept {
current += __x;
return *this;
}
constexpr iterator operator+(difference_type __x) const noexcept {
return iterator(*this) += __x;
}
constexpr iterator &operator-=(difference_type __x) noexcept {
current -= __x;
return *this;
}
constexpr iterator operator-(difference_type __x) const noexcept {
return iterator(*this) -= __x;
}
constexpr reference operator*() const noexcept { return current; }
};
template <class _Tp1, class _Tp2>
constexpr range(const _Tp1 &__first, const _Tp2 &__last) noexcept
: __first(__first), __last(__last) {}
template <class _Tp>
constexpr range(const _Tp &__last) noexcept : __first(), __last(__last) {}
constexpr iterator begin() const noexcept { return iterator{__first}; }
constexpr iterator end() const noexcept { return iterator{__last}; }
constexpr reverse_iterator<iterator> rbegin() const noexcept {
return reverse_iterator<iterator>(end());
}
constexpr reverse_iterator<iterator> rend() const noexcept {
return reverse_iterator<iterator>(begin());
}
constexpr size_t size() const noexcept {
return std::distance(__first, __last);
}
};
template <class _Tp1, class _Tp2>
range(const _Tp1 &, const _Tp2 &)
-> range<std::decay_t<decltype(++std::declval<_Tp1 &>())>>;
template <class _Tp>
range(const _Tp &) -> range<std::decay_t<decltype(++std::declval<_Tp &>())>>;
template <class... _Args>
constexpr decltype(auto) rrange(_Args &&...__args) noexcept {
return reversed(range(std::forward<_Args>(__args)...));
}
template <class _Container>
constexpr decltype(auto) iterate(_Container &&__cont) noexcept {
return range(std::begin(__cont), std::end(__cont));
}
template <class _Container>
constexpr decltype(auto) riterate(_Container &&__cont) noexcept {
return range(std::rbegin(__cont), std::rend(__cont));
}
} // namespace workspace
#endif
#line 2 "Library\\src\\utils\\py-like\\zip.hpp"
/**
* @file zip.hpp
* @brief Zip
*/
#line 11 "Library\\src\\utils\\py-like\\zip.hpp"
#line 15 "Library\\src\\utils\\py-like\\zip.hpp"
#if __cplusplus >= 201703L
namespace workspace {
namespace internal {
template <class> struct zipped_iterator;
template <class...> struct zipped_iterator_tuple;
template <class... Args> class zipped {
using ref_tuple = std::tuple<Args...>;
ref_tuple args;
template <size_t N = 0> constexpr decltype(auto) begin_cat() const noexcept {
if _CXX17_CONSTEXPR (N != std::tuple_size<ref_tuple>::value) {
return std::tuple_cat(std::tuple(std::begin(std::get<N>(args))),
begin_cat<N + 1>());
} else
return std::tuple<>();
}
template <size_t N = 0> constexpr decltype(auto) end_cat() const noexcept {
if _CXX17_CONSTEXPR (N != std::tuple_size<ref_tuple>::value) {
return std::tuple_cat(std::tuple(std::end(std::get<N>(args))),
end_cat<N + 1>());
} else
return std::tuple<>();
}
public:
constexpr zipped(Args &&...args) noexcept : args(args...) {}
class iterator {
using base_tuple = typename zipped_iterator_tuple<Args...>::type;
public:
using iterator_category =
typename common_iterator_category<base_tuple>::type;
using difference_type = std::ptrdiff_t;
using value_type = zipped_iterator<base_tuple>;
using reference = zipped_iterator<base_tuple> &;
using pointer = iterator;
protected:
value_type current;
template <size_t N = 0>
constexpr bool equal(const iterator &rhs) const noexcept {
if _CXX17_CONSTEXPR (N != std::tuple_size<base_tuple>::value) {
return std::get<N>(current) == std::get<N>(rhs.current) ||
equal<N + 1>(rhs);
} else
return false;
}
template <size_t N = 0> constexpr void increment() noexcept {
if _CXX17_CONSTEXPR (N != std::tuple_size<base_tuple>::value) {
++std::get<N>(current);
increment<N + 1>();
}
}
template <size_t N = 0> constexpr void decrement() noexcept {
if _CXX17_CONSTEXPR (N != std::tuple_size<base_tuple>::value) {
--std::get<N>(current);
decrement<N + 1>();
}
}
template <size_t N = 0>
constexpr void advance(difference_type __d) noexcept {
if _CXX17_CONSTEXPR (N != std::tuple_size<base_tuple>::value) {
std::get<N>(current) += __d;
advance<N + 1>(__d);
}
}
public:
constexpr iterator() noexcept = default;
constexpr iterator(base_tuple const ¤t) noexcept : current(current) {}
constexpr bool operator==(const iterator &rhs) const noexcept {
return equal(rhs);
}
constexpr bool operator!=(const iterator &rhs) const noexcept {
return !equal(rhs);
}
constexpr iterator &operator++() noexcept {
increment();
return *this;
}
constexpr iterator &operator--() noexcept {
decrement();
return *this;
}
constexpr bool operator<(const iterator &rhs) const noexcept {
return std::get<0>(current) < std::get<0>(rhs.current);
}
constexpr bool operator<=(const iterator &rhs) const noexcept {
return std::get<0>(current) <= std::get<0>(rhs.current);
}
constexpr iterator &operator+=(difference_type __d) noexcept {
advance(__d);
return *this;
}
constexpr iterator &operator-=(difference_type __d) noexcept {
advance(-__d);
return *this;
}
constexpr iterator operator+(difference_type __d) const noexcept {
return iterator{*this} += __d;
}
constexpr iterator operator-(difference_type __d) const noexcept {
return iterator{*this} -= __d;
}
constexpr difference_type operator-(const iterator &rhs) const noexcept {
return std::get<0>(current) - std::get<0>(rhs.current);
}
constexpr reference operator*() noexcept { return current; }
};
constexpr iterator begin() const noexcept { return iterator{begin_cat()}; }
constexpr iterator end() const noexcept { return iterator{end_cat()}; }
constexpr reverse_iterator<iterator> rbegin() const noexcept {
return reverse_iterator<iterator>{end()};
}
constexpr reverse_iterator<iterator> rend() const noexcept {
return reverse_iterator<iterator>{begin()};
}
};
template <class Tp, class... Args> struct zipped_iterator_tuple<Tp, Args...> {
using type = decltype(std::tuple_cat(
std::declval<std::tuple<decltype(std::begin(std::declval<Tp>()))>>(),
std::declval<typename zipped_iterator_tuple<Args...>::type>()));
};
template <> struct zipped_iterator_tuple<> { using type = std::tuple<>; };
template <class Iter_tuple> struct zipped_iterator : Iter_tuple {
constexpr zipped_iterator(Iter_tuple const &__t) noexcept
: Iter_tuple::tuple(__t) {}
constexpr zipped_iterator(zipped_iterator const &__t) = default;
constexpr zipped_iterator &operator=(zipped_iterator const &__t) = default;
// Avoid move initialization.
constexpr zipped_iterator(zipped_iterator &&__t)
: zipped_iterator(static_cast<zipped_iterator const &>(__t)) {}
// Avoid move assignment.
zipped_iterator &operator=(zipped_iterator &&__t) {
return operator=(static_cast<zipped_iterator const &>(__t));
}
template <size_t N>
friend constexpr decltype(auto) get(
zipped_iterator<Iter_tuple> const &__z) noexcept {
return *std::get<N>(__z);
}
template <size_t N>
friend constexpr decltype(auto) get(
zipped_iterator<Iter_tuple> &&__z) noexcept {
return *std::get<N>(__z);
}
};
} // namespace internal
} // namespace workspace
namespace std {
template <size_t N, class Iter_tuple>
struct tuple_element<N, workspace::internal::zipped_iterator<Iter_tuple>> {
using type = typename remove_reference<typename iterator_traits<
typename tuple_element<N, Iter_tuple>::type>::reference>::type;
};
template <class Iter_tuple>
struct tuple_size<workspace::internal::zipped_iterator<Iter_tuple>>
: tuple_size<Iter_tuple> {};
} // namespace std
namespace workspace {
template <class... Args> constexpr decltype(auto) zip(Args &&...args) noexcept {
return internal::zipped<Args...>(std::forward<Args>(args)...);
}
template <class... Args>
constexpr decltype(auto) zip(
std::initializer_list<Args> const &...args) noexcept {
return internal::zipped<const std::initializer_list<Args>...>(args...);
}
} // namespace workspace
#endif
#line 10 "Library\\src\\utils\\py-like\\enumerate.hpp"
#if __cplusplus >= 201703L
namespace workspace {
namespace _enumerate_impl {
constexpr size_t min_size() noexcept { return SIZE_MAX; }
template <class _Container, class... _Args>
constexpr size_t min_size(_Container const &__cont,
_Args &&... __args) noexcept {
return std::min(std::size(__cont), min_size(std::forward<_Args>(__args)...));
}
} // namespace _enumerate_impl
template <class... _Args>
constexpr decltype(auto) enumerate(_Args &&... __args) noexcept {
return zip(range(_enumerate_impl::min_size(__args...)),
std::forward<_Args>(__args)...);
}
template <class... _Args>
constexpr decltype(auto) enumerate(
std::initializer_list<_Args> const &... __args) noexcept {
return zip(range(_enumerate_impl::min_size(__args...)),
std::vector(__args)...);
}
} // namespace workspace
#endif
#line 18 "Library\\lib\\utils"
// #include "src/utils/py-like/reversed.hpp"
// #include "src/utils/py-like/zip.hpp"
#line 2 "Library\\src\\utils\\rand\\rng.hpp"
/**
* @file rng.hpp
* @brief Random Number Generator
*/
#line 9 "Library\\src\\utils\\rand\\rng.hpp"
namespace workspace {
template <typename _Arithmetic>
using uniform_distribution = typename std::conditional<
std::is_integral<_Arithmetic>::value,
std::uniform_int_distribution<_Arithmetic>,
std::uniform_real_distribution<_Arithmetic>>::type;
template <typename _Arithmetic, class _Engine = std::mt19937>
class random_number_generator : uniform_distribution<_Arithmetic> {
using base = uniform_distribution<_Arithmetic>;
_Engine __engine;
public:
random_number_generator(_Arithmetic __min, _Arithmetic __max)
: base(__min, __max), __engine(std::random_device{}()) {}
random_number_generator(_Arithmetic __max = 1)
: random_number_generator(0, __max) {}
random_number_generator(typename base::param_type const& __param)
: base(__param), __engine(std::random_device{}()) {}
decltype(auto) operator()() noexcept { return base::operator()(__engine); }
};
} // namespace workspace
#line 2 "Library\\src\\utils\\rand\\shuffle.hpp"
/**
* @file shuffle.hpp
* @brief Shuffle
*/
#line 10 "Library\\src\\utils\\rand\\shuffle.hpp"
namespace workspace {
template <class _RAIter, class _Engine = std::mt19937>
void shuffle(_RAIter __first, _RAIter __last) {
static _Engine __engine(std::random_device{}());
std::shuffle(__first, __last, __engine);
}
} // namespace workspace
#line 2 "Library\\src\\utils\\round_div.hpp"
/*
* @file round_div.hpp
* @brief Round Integer Division
*/
#line 9 "Library\\src\\utils\\round_div.hpp"
#line 11 "Library\\src\\utils\\round_div.hpp"
namespace workspace {
/*
* @fn floor_div
* @brief floor of fraction.
* @param x the numerator
* @param y the denominator
* @return maximum integer z s.t. z <= x / y
* @note y must be nonzero.
*/
template <typename T1, typename T2>
constexpr typename std::enable_if<(is_integral_ext<T1>::value &&
is_integral_ext<T2>::value),
typename std::common_type<T1, T2>::type>::type
floor_div(T1 x, T2 y) {
assert(y != 0);
if (y < 0) x = -x, y = -y;
return x < 0 ? (x - y + 1) / y : x / y;
}
/*
* @fn ceil_div
* @brief ceil of fraction.
* @param x the numerator
* @param y the denominator
* @return minimum integer z s.t. z >= x / y
* @note y must be nonzero.
*/
template <typename T1, typename T2>
constexpr typename std::enable_if<(is_integral_ext<T1>::value &&
is_integral_ext<T2>::value),
typename std::common_type<T1, T2>::type>::type
ceil_div(T1 x, T2 y) {
assert(y != 0);
if (y < 0) x = -x, y = -y;
return x < 0 ? x / y : (x + y - 1) / y;
}
} // namespace workspace
#line 23 "Library\\lib\\utils"
// #include "src\utils\rand\tree.hpp"
// #include "src\utils\reference_list.hpp"
#line 2 "Library\\src\\utils\\io\\input.hpp"
/**
* @file input.hpp
* @brief Input
*/
#line 2 "Library\\src\\utils\\io\\istream.hpp"
/**
* @file istream.hpp
* @brief Input Stream
*/
#include <cxxabi.h>
#line 13 "Library\\src\\utils\\io\\istream.hpp"
#line 16 "Library\\src\\utils\\io\\istream.hpp"
namespace workspace {
namespace _istream_impl {
template <class _Tp, typename = void> struct helper {
helper(std::istream &__is, _Tp &__x) {
if _CXX17_CONSTEXPR (has_begin<_Tp &>::value)
for (auto &&__e : __x) helper<std::decay_t<decltype(__e)>>(__is, __e);
else
static_assert(has_begin<_Tp>::value, "istream unsupported type.");
}
};
template <class _Tp>
struct helper<_Tp, std::__void_t<decltype(std::declval<std::istream &>() >>
std::declval<_Tp &>())>> {
helper(std::istream &__is, _Tp &__x) { __is >> __x; }
};
#ifdef __SIZEOF_INT128__
template <> struct helper<__uint128_t, void> {
helper(std::istream &__is, __uint128_t &__x) {
std::string __s;
__is >> __s;
bool __neg = false;
if (__s.front() == '-') __neg = true, __s.erase(__s.begin());
__x = 0;
for (char __d : __s) {
__x *= 10;
__d -= '0';
if (__neg)
__x -= __d;
else
__x += __d;
}
}
};
template <> struct helper<__int128_t, void> {
helper(std::istream &__is, __int128_t &__x) {
std::string __s;
__is >> __s;
bool __neg = false;
if (__s.front() == '-') __neg = true, __s.erase(__s.begin());
__x = 0;
for (char __d : __s) {
__x *= 10;
__d -= '0';
if (__neg)
__x -= __d;
else
__x += __d;
}
}
};
#endif // INT128
template <class _T1, class _T2> struct helper<std::pair<_T1, _T2>> {
helper(std::istream &__is, std::pair<_T1, _T2> &__x) {
helper<_T1>(__is, __x.first), helper<_T2>(__is, __x.second);
}
};
template <class... _Tp> struct helper<std::tuple<_Tp...>> {
helper(std::istream &__is, std::tuple<_Tp...> &__x) { iterate(__is, __x); }
private:
template <class _Tuple, size_t _Nm = 0>
void iterate(std::istream &__is, _Tuple &__x) {
if _CXX17_CONSTEXPR (_Nm != std::tuple_size<_Tuple>::value) {
helper<typename std::tuple_element<_Nm, _Tuple>::type>(
__is, std::get<_Nm>(__x)),
iterate<_Tuple, _Nm + 1>(__is, __x);
}
}
};
} // namespace _istream_impl
/**
* @brief A wrapper class for std::istream.
*/
class istream : public std::istream {
public:
/**
* @brief Wrapped operator.
*/
template <typename _Tp> istream &operator>>(_Tp &__x) {
_istream_impl::helper<_Tp>(*this, __x);
if (std::istream::fail()) {
static auto once = atexit([] {
std::cerr << "\n\033[43m\033[30mwarning: failed to read \'"
<< abi::__cxa_demangle(typeid(_Tp).name(), 0, 0, 0)
<< "\'.\033[0m\n\n";
});
assert(!once);
}
return *this;
}
};
decltype(auto) cin = static_cast<istream &>(std::cin);
} // namespace workspace
#line 9 "Library\\src\\utils\\io\\input.hpp"
namespace workspace {
namespace _input_impl {
template <class _Tp, bool _Is_class = false> class input {
_Tp __value;
template <class _Arg, class... _Args> struct is_same : std::false_type {};
template <class _Arg> struct is_same<_Arg, _Arg> : std::true_type {};
public:
operator _Tp &() noexcept { return __value; }
operator const _Tp &() const noexcept { return __value; }
template <class... _Args>
input(_Args &&...__args) noexcept : __value(std::forward<_Args>(__args)...) {
if _CXX17_CONSTEXPR (!is_same<decltype(*this), _Args...>::value &&
!is_same<_Tp, _Args...>::value)
cin >> __value;
}
input &operator=(const _Tp &__x) noexcept { return __value = __x, *this; }
};
template <class _Tp> class input<_Tp, true> : public _Tp {
template <class _Arg, class... _Args> struct is_same : std::false_type {};
template <class _Arg> struct is_same<_Arg, _Arg> : std::true_type {};
public:
operator _Tp &() noexcept { return *this; }
operator const _Tp &() const noexcept { return *this; }
template <class... _Args>
input(_Args &&...__args) noexcept : _Tp(std::forward<_Args>(__args)...) {
if _CXX17_CONSTEXPR (!is_same<decltype(*this), _Args...>::value &&
!is_same<_Tp, _Args...>::value)
cin >> *this;
}
input &operator=(const _Tp &__x) noexcept {
_Tp::operator=(__x);
return *this;
}
};
} // namespace _input_impl
template <class _Tp>
using input = _input_impl::input<_Tp, std::is_class<_Tp>::value>;
} // namespace workspace
#line 11 "other-workspace\\yu.cc"
signed main() {
using namespace workspace;
io_setup(15);
/* given
case_info.read(); //*/
/* unspecified
case_info.total = -1; //*/
return case_info.iterate();
}
#line 2 "Library\\src\\number_theory\\least_factor.hpp"
/**
* @file least_factor.hpp
* @brief Least Prime Factor
*/
#line 10 "Library\\src\\number_theory\\least_factor.hpp"
#line 12 "Library\\src\\number_theory\\least_factor.hpp"
namespace workspace {
/**
* @brief Calculate the least prime factor for positive integers.
*
* @tparam N Range of calculation, exclusive
*/
template <unsigned N> class least_factor {
unsigned least[N], prime[N >> 1], n;
public:
least_factor() : least{}, prime{}, n{} {
for (auto i = 2u; i < N; ++i) {
if (!least[i]) prime[n++] = least[i] = i;
for (auto *p = prime; *p && *p <= least[i] && *p * i < N; ++p) {
least[*p * i] = *p;
}
}
}
/**
* @param x An integer with 0 < |x| < N
* @return Least prime factor of x
*/
template <typename int_type>
constexpr
typename std::enable_if<is_integral_ext<int_type>::value, int_type>::type
operator()(int_type x) const {
assert(x);
if (x < 0) x = -x;
assert((unsigned)x < N);
return least[x];
}
/**
* @brief Factorize
*
* @param x An integer with 0 < |x| < N
* @return Prime factors in ascending order.
*/
template <typename int_type>
constexpr typename std::enable_if<is_integral_ext<int_type>::value,
std::vector<int_type>>::type
factorize(int_type x) const {
assert(x);
if (x < 0) x = -x;
assert((unsigned)x < N);
std::vector<int_type> __p;
while (x != 1) {
__p.emplace_back(least[x]);
x /= least[x];
}
return __p;
}
/**
* @return Sorted list of prime numbers less than N
*/
const std::vector<unsigned> &primes() const {
static const std::vector<unsigned> prime_vector(prime, prime + n);
return prime_vector;
}
};
} // namespace workspace
#line 27 "other-workspace\\yu.cc"
namespace workspace {
least_factor<400010> lpf;
void main() {
// start here!
vector<int> ok(400010);
for (auto &&[i, f] : enumerate(ok)) {
if (!i) continue;
auto k = 0, c = 0;
auto n = i;
auto p = 1;
while (n > 1) {
auto q = lpf(n);
k += p != q;
p = q;
++c;
n /= q;
}
switch (k) {
case 1: {
f = c >= 4;
} break;
default:
f = c >= 3;
}
}
partial_sum(begin(ok), end(ok), begin(ok));
int T;
cin >> T;
while (T--) {
int p, l, r;
cin >> p >> l >> r;
l -= p, r -= p;
int ans = l <= 0 && 0 <= r;
ans += ok[max(0, r)] - ok[max(0, l - 1)];
ans += ok[max(0, -l)] - ok[max(0, -1 - r)];
cout << ans << "\n";
}
}
} // namespace workspace