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// -*- C++ -*- 
//===-------------------------- algorithm ---------------------------------===// 
// 
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
// 
//===----------------------------------------------------------------------===// 
 
#ifndef _LIBCPP_ALGORITHM 
#define _LIBCPP_ALGORITHM 
 
/* 
    algorithm synopsis 
 
#include <initializer_list> 
 
namespace std 
{ 
 
template <class InputIterator, class Predicate> 
    constexpr bool     // constexpr in C++20 
    all_of(InputIterator first, InputIterator last, Predicate pred); 
 
template <class InputIterator, class Predicate> 
    constexpr bool     // constexpr in C++20 
    any_of(InputIterator first, InputIterator last, Predicate pred); 
 
template <class InputIterator, class Predicate> 
    constexpr bool     // constexpr in C++20 
    none_of(InputIterator first, InputIterator last, Predicate pred); 
 
template <class InputIterator, class Function> 
    constexpr Function          // constexpr in C++20 
    for_each(InputIterator first, InputIterator last, Function f); 
 
template<class InputIterator, class Size, class Function> 
    constexpr InputIterator     // constexpr in C++20 
    for_each_n(InputIterator first, Size n, Function f); // C++17 
 
template <class InputIterator, class T> 
    constexpr InputIterator     // constexpr in C++20 
    find(InputIterator first, InputIterator last, const T& value); 
 
template <class InputIterator, class Predicate> 
    constexpr InputIterator     // constexpr in C++20 
    find_if(InputIterator first, InputIterator last, Predicate pred); 
 
template<class InputIterator, class Predicate> 
    constexpr InputIterator     // constexpr in C++20 
    find_if_not(InputIterator first, InputIterator last, Predicate pred); 
 
template <class ForwardIterator1, class ForwardIterator2> 
    constexpr ForwardIterator1  // constexpr in C++20 
    find_end(ForwardIterator1 first1, ForwardIterator1 last1, 
             ForwardIterator2 first2, ForwardIterator2 last2); 
 
template <class ForwardIterator1, class ForwardIterator2, class BinaryPredicate> 
    constexpr ForwardIterator1  // constexpr in C++20 
    find_end(ForwardIterator1 first1, ForwardIterator1 last1, 
             ForwardIterator2 first2, ForwardIterator2 last2, BinaryPredicate pred); 
 
template <class ForwardIterator1, class ForwardIterator2> 
    constexpr ForwardIterator1  // constexpr in C++20 
    find_first_of(ForwardIterator1 first1, ForwardIterator1 last1, 
                  ForwardIterator2 first2, ForwardIterator2 last2); 
 
template <class ForwardIterator1, class ForwardIterator2, class BinaryPredicate> 
    constexpr ForwardIterator1  // constexpr in C++20 
    find_first_of(ForwardIterator1 first1, ForwardIterator1 last1, 
                  ForwardIterator2 first2, ForwardIterator2 last2, BinaryPredicate pred); 
 
template <class ForwardIterator> 
    constexpr ForwardIterator   // constexpr in C++20 
    adjacent_find(ForwardIterator first, ForwardIterator last); 
 
template <class ForwardIterator, class BinaryPredicate> 
    constexpr ForwardIterator   // constexpr in C++20 
    adjacent_find(ForwardIterator first, ForwardIterator last, BinaryPredicate pred); 
 
template <class InputIterator, class T> 
    constexpr typename iterator_traits<InputIterator>::difference_type  // constexpr in C++20 
    count(InputIterator first, InputIterator last, const T& value); 
 
template <class InputIterator, class Predicate> 
    constexpr typename iterator_traits<InputIterator>::difference_type // constexpr in C++20 
    count_if(InputIterator first, InputIterator last, Predicate pred); 
 
template <class InputIterator1, class InputIterator2> 
    constexpr pair<InputIterator1, InputIterator2>   // constexpr in C++20 
    mismatch(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2); 
 
template <class InputIterator1, class InputIterator2> 
    constexpr pair<InputIterator1, InputIterator2>   // constexpr in C++20 
    mismatch(InputIterator1 first1, InputIterator1 last1, 
             InputIterator2 first2, InputIterator2 last2); // **C++14** 
 
template <class InputIterator1, class InputIterator2, class BinaryPredicate> 
    constexpr pair<InputIterator1, InputIterator2>   // constexpr in C++20 
    mismatch(InputIterator1 first1, InputIterator1 last1, 
             InputIterator2 first2, BinaryPredicate pred); 
 
template <class InputIterator1, class InputIterator2, class BinaryPredicate> 
    constexpr pair<InputIterator1, InputIterator2>   // constexpr in C++20 
    mismatch(InputIterator1 first1, InputIterator1 last1, 
             InputIterator2 first2, InputIterator2 last2, 
             BinaryPredicate pred); // **C++14** 
 
template <class InputIterator1, class InputIterator2> 
    constexpr bool      // constexpr in C++20 
    equal(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2); 
 
template <class InputIterator1, class InputIterator2> 
    constexpr bool      // constexpr in C++20 
    equal(InputIterator1 first1, InputIterator1 last1, 
          InputIterator2 first2, InputIterator2 last2); // **C++14** 
 
template <class InputIterator1, class InputIterator2, class BinaryPredicate> 
    constexpr bool      // constexpr in C++20 
    equal(InputIterator1 first1, InputIterator1 last1, 
          InputIterator2 first2, BinaryPredicate pred); 
 
template <class InputIterator1, class InputIterator2, class BinaryPredicate> 
    constexpr bool      // constexpr in C++20 
    equal(InputIterator1 first1, InputIterator1 last1, 
          InputIterator2 first2, InputIterator2 last2, 
          BinaryPredicate pred); // **C++14** 
 
template<class ForwardIterator1, class ForwardIterator2> 
    constexpr bool      // constexpr in C++20 
    is_permutation(ForwardIterator1 first1, ForwardIterator1 last1, 
                   ForwardIterator2 first2); 
 
template<class ForwardIterator1, class ForwardIterator2> 
    constexpr bool      // constexpr in C++20 
    is_permutation(ForwardIterator1 first1, ForwardIterator1 last1, 
                   ForwardIterator2 first2, ForwardIterator2 last2); // **C++14** 
 
template<class ForwardIterator1, class ForwardIterator2, class BinaryPredicate> 
    constexpr bool      // constexpr in C++20 
    is_permutation(ForwardIterator1 first1, ForwardIterator1 last1, 
                   ForwardIterator2 first2, BinaryPredicate pred); 
 
template<class ForwardIterator1, class ForwardIterator2, class BinaryPredicate> 
    constexpr bool      // constexpr in C++20 
    is_permutation(ForwardIterator1 first1, ForwardIterator1 last1, 
                   ForwardIterator2 first2, ForwardIterator2 last2, 
                   BinaryPredicate pred);  // **C++14** 
 
template <class ForwardIterator1, class ForwardIterator2> 
    constexpr ForwardIterator1      // constexpr in C++20 
    search(ForwardIterator1 first1, ForwardIterator1 last1, 
           ForwardIterator2 first2, ForwardIterator2 last2); 
 
template <class ForwardIterator1, class ForwardIterator2, class BinaryPredicate> 
    constexpr ForwardIterator1      // constexpr in C++20 
    search(ForwardIterator1 first1, ForwardIterator1 last1, 
           ForwardIterator2 first2, ForwardIterator2 last2, BinaryPredicate pred); 
 
template <class ForwardIterator, class Size, class T> 
    constexpr ForwardIterator       // constexpr in C++20 
    search_n(ForwardIterator first, ForwardIterator last, Size count, const T& value); 
 
template <class ForwardIterator, class Size, class T, class BinaryPredicate> 
    constexpr ForwardIterator       // constexpr in C++20 
    search_n(ForwardIterator first, ForwardIterator last, 
             Size count, const T& value, BinaryPredicate pred); 
 
template <class InputIterator, class OutputIterator> 
    constexpr OutputIterator      // constexpr in C++20 
    copy(InputIterator first, InputIterator last, OutputIterator result); 
 
template<class InputIterator, class OutputIterator, class Predicate> 
    constexpr OutputIterator      // constexpr in C++20 
    copy_if(InputIterator first, InputIterator last, 
            OutputIterator result, Predicate pred); 
 
template<class InputIterator, class Size, class OutputIterator> 
    constexpr OutputIterator      // constexpr in C++20 
    copy_n(InputIterator first, Size n, OutputIterator result); 
 
template <class BidirectionalIterator1, class BidirectionalIterator2> 
    constexpr BidirectionalIterator2      // constexpr in C++20 
    copy_backward(BidirectionalIterator1 first, BidirectionalIterator1 last, 
                  BidirectionalIterator2 result); 
 
template <class ForwardIterator1, class ForwardIterator2> 
    constexpr ForwardIterator2    // constexpr in C++20 
    swap_ranges(ForwardIterator1 first1, ForwardIterator1 last1, ForwardIterator2 first2); 
 
template <class ForwardIterator1, class ForwardIterator2> 
    constexpr void                // constexpr in C++20 
    iter_swap(ForwardIterator1 a, ForwardIterator2 b); 
 
template <class InputIterator, class OutputIterator, class UnaryOperation> 
    constexpr OutputIterator      // constexpr in C++20 
    transform(InputIterator first, InputIterator last, OutputIterator result, UnaryOperation op); 
 
template <class InputIterator1, class InputIterator2, class OutputIterator, class BinaryOperation> 
    constexpr OutputIterator      // constexpr in C++20 
    transform(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, 
              OutputIterator result, BinaryOperation binary_op); 
 
template <class ForwardIterator, class T> 
    constexpr void      // constexpr in C++20 
    replace(ForwardIterator first, ForwardIterator last, const T& old_value, const T& new_value); 
 
template <class ForwardIterator, class Predicate, class T> 
    constexpr void      // constexpr in C++20 
    replace_if(ForwardIterator first, ForwardIterator last, Predicate pred, const T& new_value); 
 
template <class InputIterator, class OutputIterator, class T> 
    constexpr OutputIterator      // constexpr in C++20 
    replace_copy(InputIterator first, InputIterator last, OutputIterator result, 
                 const T& old_value, const T& new_value); 
 
template <class InputIterator, class OutputIterator, class Predicate, class T> 
    constexpr OutputIterator      // constexpr in C++20 
    replace_copy_if(InputIterator first, InputIterator last, OutputIterator result, Predicate pred, const T& new_value); 
 
template <class ForwardIterator, class T> 
    constexpr void      // constexpr in C++20 
    fill(ForwardIterator first, ForwardIterator last, const T& value); 
 
template <class OutputIterator, class Size, class T> 
    constexpr OutputIterator      // constexpr in C++20 
    fill_n(OutputIterator first, Size n, const T& value); 
 
template <class ForwardIterator, class Generator> 
    constexpr void      // constexpr in C++20 
    generate(ForwardIterator first, ForwardIterator last, Generator gen); 
 
template <class OutputIterator, class Size, class Generator> 
    constexpr OutputIterator      // constexpr in C++20 
    generate_n(OutputIterator first, Size n, Generator gen); 
 
template <class ForwardIterator, class T> 
    constexpr ForwardIterator     // constexpr in C++20 
    remove(ForwardIterator first, ForwardIterator last, const T& value); 
 
template <class ForwardIterator, class Predicate> 
    constexpr ForwardIterator     // constexpr in C++20 
    remove_if(ForwardIterator first, ForwardIterator last, Predicate pred); 
 
template <class InputIterator, class OutputIterator, class T> 
    constexpr OutputIterator     // constexpr in C++20 
    remove_copy(InputIterator first, InputIterator last, OutputIterator result, const T& value); 
 
template <class InputIterator, class OutputIterator, class Predicate> 
    constexpr OutputIterator     // constexpr in C++20 
    remove_copy_if(InputIterator first, InputIterator last, OutputIterator result, Predicate pred); 
 
template <class ForwardIterator> 
    constexpr ForwardIterator    // constexpr in C++20 
    unique(ForwardIterator first, ForwardIterator last); 
 
template <class ForwardIterator, class BinaryPredicate> 
    constexpr ForwardIterator    // constexpr in C++20 
    unique(ForwardIterator first, ForwardIterator last, BinaryPredicate pred); 
 
template <class InputIterator, class OutputIterator> 
    constexpr OutputIterator     // constexpr in C++20 
    unique_copy(InputIterator first, InputIterator last, OutputIterator result); 
 
template <class InputIterator, class OutputIterator, class BinaryPredicate> 
    constexpr OutputIterator     // constexpr in C++20 
    unique_copy(InputIterator first, InputIterator last, OutputIterator result, BinaryPredicate pred); 
 
template <class BidirectionalIterator> 
    constexpr void               // constexpr in C++20 
    reverse(BidirectionalIterator first, BidirectionalIterator last); 
 
template <class BidirectionalIterator, class OutputIterator> 
    constexpr OutputIterator       // constexpr in C++20 
    reverse_copy(BidirectionalIterator first, BidirectionalIterator last, OutputIterator result); 
 
template <class ForwardIterator> 
    constexpr ForwardIterator      // constexpr in C++20 
    rotate(ForwardIterator first, ForwardIterator middle, ForwardIterator last); 
 
template <class ForwardIterator, class OutputIterator> 
    constexpr OutputIterator       // constexpr in C++20 
    rotate_copy(ForwardIterator first, ForwardIterator middle, ForwardIterator last, OutputIterator result); 
 
template <class RandomAccessIterator> 
    void 
    random_shuffle(RandomAccessIterator first, RandomAccessIterator last); // deprecated in C++14, removed in C++17 
 
template <class RandomAccessIterator, class RandomNumberGenerator> 
    void 
    random_shuffle(RandomAccessIterator first, RandomAccessIterator last, 
                   RandomNumberGenerator& rand);  // deprecated in C++14, removed in C++17 
 
template<class PopulationIterator, class SampleIterator, 
         class Distance, class UniformRandomBitGenerator> 
    SampleIterator sample(PopulationIterator first, PopulationIterator last, 
                          SampleIterator out, Distance n, 
                          UniformRandomBitGenerator&& g); // C++17 
 
template<class RandomAccessIterator, class UniformRandomNumberGenerator> 
    void shuffle(RandomAccessIterator first, RandomAccessIterator last, 
                 UniformRandomNumberGenerator&& g); 
 
template<class ForwardIterator> 
  constexpr ForwardIterator 
    shift_left(ForwardIterator first, ForwardIterator last, 
               typename iterator_traits<ForwardIterator>::difference_type n); // C++20 
 
template<class ForwardIterator> 
  constexpr ForwardIterator 
    shift_right(ForwardIterator first, ForwardIterator last, 
                typename iterator_traits<ForwardIterator>::difference_type n); // C++20 
 
template <class InputIterator, class Predicate> 
    constexpr bool  // constexpr in C++20 
    is_partitioned(InputIterator first, InputIterator last, Predicate pred); 
 
template <class ForwardIterator, class Predicate> 
    constexpr ForwardIterator  // constexpr in C++20 
    partition(ForwardIterator first, ForwardIterator last, Predicate pred); 
 
template <class InputIterator, class OutputIterator1, 
          class OutputIterator2, class Predicate> 
    constexpr pair<OutputIterator1, OutputIterator2>   // constexpr in C++20 
    partition_copy(InputIterator first, InputIterator last, 
                   OutputIterator1 out_true, OutputIterator2 out_false, 
                   Predicate pred); 
 
template <class ForwardIterator, class Predicate> 
    ForwardIterator 
    stable_partition(ForwardIterator first, ForwardIterator last, Predicate pred); 
 
template<class ForwardIterator, class Predicate> 
    constexpr ForwardIterator  // constexpr in C++20 
    partition_point(ForwardIterator first, ForwardIterator last, Predicate pred); 
 
template <class ForwardIterator> 
    constexpr bool  // constexpr in C++20 
    is_sorted(ForwardIterator first, ForwardIterator last); 
 
template <class ForwardIterator, class Compare> 
    constexpr bool  // constexpr in C++20 
    is_sorted(ForwardIterator first, ForwardIterator last, Compare comp); 
 
template<class ForwardIterator> 
    constexpr ForwardIterator    // constexpr in C++20 
    is_sorted_until(ForwardIterator first, ForwardIterator last); 
 
template <class ForwardIterator, class Compare> 
    constexpr ForwardIterator    // constexpr in C++20 
    is_sorted_until(ForwardIterator first, ForwardIterator last, Compare comp); 
 
template <class RandomAccessIterator> 
    constexpr void               // constexpr in C++20 
    sort(RandomAccessIterator first, RandomAccessIterator last); 
 
template <class RandomAccessIterator, class Compare> 
    constexpr void               // constexpr in C++20 
    sort(RandomAccessIterator first, RandomAccessIterator last, Compare comp); 
 
template <class RandomAccessIterator> 
    void 
    stable_sort(RandomAccessIterator first, RandomAccessIterator last); 
 
template <class RandomAccessIterator, class Compare> 
    void 
    stable_sort(RandomAccessIterator first, RandomAccessIterator last, Compare comp); 
 
template <class RandomAccessIterator> 
    constexpr void                    // constexpr in C++20 
    partial_sort(RandomAccessIterator first, RandomAccessIterator middle, RandomAccessIterator last); 
 
template <class RandomAccessIterator, class Compare> 
    constexpr void                    // constexpr in C++20 
    partial_sort(RandomAccessIterator first, RandomAccessIterator middle, RandomAccessIterator last, Compare comp); 
 
template <class InputIterator, class RandomAccessIterator> 
    constexpr RandomAccessIterator    // constexpr in C++20 
    partial_sort_copy(InputIterator first, InputIterator last, 
                      RandomAccessIterator result_first, RandomAccessIterator result_last); 
 
template <class InputIterator, class RandomAccessIterator, class Compare> 
    constexpr RandomAccessIterator    // constexpr in C++20 
    partial_sort_copy(InputIterator first, InputIterator last, 
                      RandomAccessIterator result_first, RandomAccessIterator result_last, Compare comp); 
 
template <class RandomAccessIterator> 
    constexpr void                    // constexpr in C++20 
    nth_element(RandomAccessIterator first, RandomAccessIterator nth, RandomAccessIterator last); 
 
template <class RandomAccessIterator, class Compare> 
    constexpr void                    // constexpr in C++20 
    nth_element(RandomAccessIterator first, RandomAccessIterator nth, RandomAccessIterator last, Compare comp); 
 
template <class ForwardIterator, class T> 
    constexpr ForwardIterator                         // constexpr in C++20 
    lower_bound(ForwardIterator first, ForwardIterator last, const T& value); 
 
template <class ForwardIterator, class T, class Compare> 
    constexpr ForwardIterator                         // constexpr in C++20 
    lower_bound(ForwardIterator first, ForwardIterator last, const T& value, Compare comp); 
 
template <class ForwardIterator, class T> 
    constexpr ForwardIterator                         // constexpr in C++20 
    upper_bound(ForwardIterator first, ForwardIterator last, const T& value); 
 
template <class ForwardIterator, class T, class Compare> 
    constexpr ForwardIterator                         // constexpr in C++20 
    upper_bound(ForwardIterator first, ForwardIterator last, const T& value, Compare comp); 
 
template <class ForwardIterator, class T> 
    constexpr pair<ForwardIterator, ForwardIterator>  // constexpr in C++20 
    equal_range(ForwardIterator first, ForwardIterator last, const T& value); 
 
template <class ForwardIterator, class T, class Compare> 
    constexpr pair<ForwardIterator, ForwardIterator>  // constexpr in C++20 
    equal_range(ForwardIterator first, ForwardIterator last, const T& value, Compare comp); 
 
template <class ForwardIterator, class T> 
    constexpr bool                                    // constexpr in C++20 
    binary_search(ForwardIterator first, ForwardIterator last, const T& value); 
 
template <class ForwardIterator, class T, class Compare> 
    constexpr bool                                    // constexpr in C++20 
    binary_search(ForwardIterator first, ForwardIterator last, const T& value, Compare comp); 
 
template <class InputIterator1, class InputIterator2, class OutputIterator> 
    constexpr OutputIterator                          // constexpr in C++20 
    merge(InputIterator1 first1, InputIterator1 last1, 
          InputIterator2 first2, InputIterator2 last2, OutputIterator result); 
 
template <class InputIterator1, class InputIterator2, class OutputIterator, class Compare> 
    constexpr OutputIterator                          // constexpr in C++20 
    merge(InputIterator1 first1, InputIterator1 last1, 
          InputIterator2 first2, InputIterator2 last2, OutputIterator result, Compare comp); 
 
template <class BidirectionalIterator> 
    void 
    inplace_merge(BidirectionalIterator first, BidirectionalIterator middle, BidirectionalIterator last); 
 
template <class BidirectionalIterator, class Compare> 
    void 
    inplace_merge(BidirectionalIterator first, BidirectionalIterator middle, BidirectionalIterator last, Compare comp); 
 
template <class InputIterator1, class InputIterator2> 
    constexpr bool                                    // constexpr in C++20 
    includes(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, InputIterator2 last2); 
 
template <class InputIterator1, class InputIterator2, class Compare> 
    constexpr bool                                    // constexpr in C++20 
    includes(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, InputIterator2 last2, Compare comp); 
 
template <class InputIterator1, class InputIterator2, class OutputIterator> 
    constexpr OutputIterator                          // constexpr in C++20 
    set_union(InputIterator1 first1, InputIterator1 last1, 
              InputIterator2 first2, InputIterator2 last2, OutputIterator result); 
 
template <class InputIterator1, class InputIterator2, class OutputIterator, class Compare> 
    constexpr OutputIterator                          // constexpr in C++20 
    set_union(InputIterator1 first1, InputIterator1 last1, 
              InputIterator2 first2, InputIterator2 last2, OutputIterator result, Compare comp); 
 
template <class InputIterator1, class InputIterator2, class OutputIterator> 
    constexpr OutputIterator                         // constexpr in C++20 
    set_intersection(InputIterator1 first1, InputIterator1 last1, 
                     InputIterator2 first2, InputIterator2 last2, OutputIterator result); 
 
template <class InputIterator1, class InputIterator2, class OutputIterator, class Compare> 
    constexpr OutputIterator                         // constexpr in C++20 
    set_intersection(InputIterator1 first1, InputIterator1 last1, 
                     InputIterator2 first2, InputIterator2 last2, OutputIterator result, Compare comp); 
 
template <class InputIterator1, class InputIterator2, class OutputIterator> 
    constexpr OutputIterator                         // constexpr in C++20 
    set_difference(InputIterator1 first1, InputIterator1 last1, 
                   InputIterator2 first2, InputIterator2 last2, OutputIterator result); 
 
template <class InputIterator1, class InputIterator2, class OutputIterator, class Compare> 
    constexpr OutputIterator                         // constexpr in C++20 
    set_difference(InputIterator1 first1, InputIterator1 last1, 
                   InputIterator2 first2, InputIterator2 last2, OutputIterator result, Compare comp); 
 
template <class InputIterator1, class InputIterator2, class OutputIterator> 
    constexpr OutputIterator                         // constexpr in C++20 
    set_symmetric_difference(InputIterator1 first1, InputIterator1 last1, 
                             InputIterator2 first2, InputIterator2 last2, OutputIterator result); 
 
template <class InputIterator1, class InputIterator2, class OutputIterator, class Compare> 
    constexpr OutputIterator                         // constexpr in C++20 
    set_symmetric_difference(InputIterator1 first1, InputIterator1 last1, 
                             InputIterator2 first2, InputIterator2 last2, OutputIterator result, Compare comp); 
 
template <class RandomAccessIterator> 
    constexpr void                                   // constexpr in C++20 
    push_heap(RandomAccessIterator first, RandomAccessIterator last); 
 
template <class RandomAccessIterator, class Compare> 
    constexpr void                                   // constexpr in C++20 
    push_heap(RandomAccessIterator first, RandomAccessIterator last, Compare comp); 
 
template <class RandomAccessIterator> 
    constexpr void                                   // constexpr in C++20 
    pop_heap(RandomAccessIterator first, RandomAccessIterator last); 
 
template <class RandomAccessIterator, class Compare> 
    constexpr void                                   // constexpr in C++20 
    pop_heap(RandomAccessIterator first, RandomAccessIterator last, Compare comp); 
 
template <class RandomAccessIterator> 
    constexpr void                                   // constexpr in C++20 
    make_heap(RandomAccessIterator first, RandomAccessIterator last); 
 
template <class RandomAccessIterator, class Compare> 
    constexpr void                                   // constexpr in C++20 
    make_heap(RandomAccessIterator first, RandomAccessIterator last, Compare comp); 
 
template <class RandomAccessIterator> 
    constexpr void                                   // constexpr in C++20 
    sort_heap(RandomAccessIterator first, RandomAccessIterator last); 
 
template <class RandomAccessIterator, class Compare> 
    constexpr void                                   // constexpr in C++20 
    sort_heap(RandomAccessIterator first, RandomAccessIterator last, Compare comp); 
 
template <class RandomAccessIterator> 
    constexpr bool   // constexpr in C++20 
    is_heap(RandomAccessIterator first, RandomAccessiterator last); 
 
template <class RandomAccessIterator, class Compare> 
    constexpr bool   // constexpr in C++20 
    is_heap(RandomAccessIterator first, RandomAccessiterator last, Compare comp); 
 
template <class RandomAccessIterator> 
    constexpr RandomAccessIterator   // constexpr in C++20 
    is_heap_until(RandomAccessIterator first, RandomAccessiterator last); 
 
template <class RandomAccessIterator, class Compare> 
    constexpr RandomAccessIterator   // constexpr in C++20 
    is_heap_until(RandomAccessIterator first, RandomAccessiterator last, Compare comp); 
 
template <class ForwardIterator> 
    constexpr ForwardIterator        // constexpr in C++14 
    min_element(ForwardIterator first, ForwardIterator last); 
 
template <class ForwardIterator, class Compare> 
    constexpr ForwardIterator        // constexpr in C++14 
    min_element(ForwardIterator first, ForwardIterator last, Compare comp); 
 
template <class T> 
    constexpr const T&               // constexpr in C++14 
    min(const T& a, const T& b); 
 
template <class T, class Compare> 
    constexpr const T&               // constexpr in C++14 
    min(const T& a, const T& b, Compare comp); 
 
template<class T> 
    constexpr T                      // constexpr in C++14 
    min(initializer_list<T> t); 
 
template<class T, class Compare> 
    constexpr T                      // constexpr in C++14 
    min(initializer_list<T> t, Compare comp); 
 
template<class T> 
    constexpr const T& clamp(const T& v, const T& lo, const T& hi);               // C++17
 
template<class T, class Compare> 
    constexpr const T& clamp(const T& v, const T& lo, const T& hi, Compare comp); // C++17
 
template <class ForwardIterator> 
    constexpr ForwardIterator        // constexpr in C++14 
    max_element(ForwardIterator first, ForwardIterator last); 
 
template <class ForwardIterator, class Compare> 
    constexpr ForwardIterator        // constexpr in C++14 
    max_element(ForwardIterator first, ForwardIterator last, Compare comp); 
 
template <class T> 
    constexpr const T&               // constexpr in C++14 
    max(const T& a, const T& b); 
 
template <class T, class Compare> 
    constexpr const T&               // constexpr in C++14 
    max(const T& a, const T& b, Compare comp); 
 
template<class T> 
    constexpr T                      // constexpr in C++14 
    max(initializer_list<T> t); 
 
template<class T, class Compare> 
    constexpr T                      // constexpr in C++14 
    max(initializer_list<T> t, Compare comp); 
 
template<class ForwardIterator> 
    constexpr pair<ForwardIterator, ForwardIterator>  // constexpr in C++14 
    minmax_element(ForwardIterator first, ForwardIterator last); 
 
template<class ForwardIterator, class Compare> 
    constexpr pair<ForwardIterator, ForwardIterator>  // constexpr in C++14 
    minmax_element(ForwardIterator first, ForwardIterator last, Compare comp); 
 
template<class T> 
    constexpr pair<const T&, const T&>  // constexpr in C++14 
    minmax(const T& a, const T& b); 
 
template<class T, class Compare> 
    constexpr pair<const T&, const T&>  // constexpr in C++14 
    minmax(const T& a, const T& b, Compare comp); 
 
template<class T> 
    constexpr pair<T, T>                // constexpr in C++14 
    minmax(initializer_list<T> t); 
 
template<class T, class Compare> 
    constexpr pair<T, T>                // constexpr in C++14 
    minmax(initializer_list<T> t, Compare comp); 
 
template <class InputIterator1, class InputIterator2> 
    constexpr bool     // constexpr in C++20 
    lexicographical_compare(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, InputIterator2 last2); 
 
template <class InputIterator1, class InputIterator2, class Compare> 
    constexpr bool     // constexpr in C++20 
    lexicographical_compare(InputIterator1 first1, InputIterator1 last1, 
                            InputIterator2 first2, InputIterator2 last2, Compare comp); 
 
template <class BidirectionalIterator> 
    constexpr bool     // constexpr in C++20 
    next_permutation(BidirectionalIterator first, BidirectionalIterator last); 
 
template <class BidirectionalIterator, class Compare> 
    constexpr bool     // constexpr in C++20 
    next_permutation(BidirectionalIterator first, BidirectionalIterator last, Compare comp); 
 
template <class BidirectionalIterator> 
    constexpr bool     // constexpr in C++20 
    prev_permutation(BidirectionalIterator first, BidirectionalIterator last); 
 
template <class BidirectionalIterator, class Compare> 
    constexpr bool     // constexpr in C++20 
    prev_permutation(BidirectionalIterator first, BidirectionalIterator last, Compare comp); 
 
}  // std 
 
*/ 
 
#include <__config> 
#include <__debug> 
#include <__bits> // __libcpp_clz 
#include <cstddef> 
#include <cstring> 
#include <functional> 
#include <initializer_list> 
#include <utility> // needed to provide swap_ranges. 
#include <memory> 
#include <iterator> 
#include <memory> 
#include <type_traits> 
#include <utility> // swap_ranges 
#include <version>
 
#include <__algorithm/adjacent_find.h> 
#include <__algorithm/all_of.h> 
#include <__algorithm/any_of.h> 
#include <__algorithm/binary_search.h> 
#include <__algorithm/clamp.h> 
#include <__algorithm/comp.h> 
#include <__algorithm/comp_ref_type.h> 
#include <__algorithm/copy.h> 
#include <__algorithm/copy_backward.h> 
#include <__algorithm/copy_if.h> 
#include <__algorithm/copy_n.h> 
#include <__algorithm/count.h> 
#include <__algorithm/count_if.h> 
#include <__algorithm/equal.h> 
#include <__algorithm/equal_range.h> 
#include <__algorithm/fill_n.h> 
#include <__algorithm/fill.h> 
#include <__algorithm/find.h> 
#include <__algorithm/find_end.h> 
#include <__algorithm/find_first_of.h> 
#include <__algorithm/find_if.h> 
#include <__algorithm/find_if_not.h> 
#include <__algorithm/for_each.h> 
#include <__algorithm/for_each_n.h> 
#include <__algorithm/generate_n.h> 
#include <__algorithm/generate.h> 
#include <__algorithm/half_positive.h> 
#include <__algorithm/includes.h> 
#include <__algorithm/inplace_merge.h> 
#include <__algorithm/is_heap.h> 
#include <__algorithm/is_heap_until.h> 
#include <__algorithm/is_partitioned.h> 
#include <__algorithm/is_permutation.h> 
#include <__algorithm/is_sorted.h> 
#include <__algorithm/is_sorted_until.h> 
#include <__algorithm/iter_swap.h> 
#include <__algorithm/lexicographical_compare.h> 
#include <__algorithm/lower_bound.h> 
#include <__algorithm/make_heap.h> 
#include <__algorithm/max.h> 
#include <__algorithm/max_element.h> 
#include <__algorithm/merge.h> 
#include <__algorithm/min.h> 
#include <__algorithm/min_element.h> 
#include <__algorithm/minmax.h> 
#include <__algorithm/minmax_element.h> 
#include <__algorithm/mismatch.h> 
#include <__algorithm/move.h> 
#include <__algorithm/move_backward.h> 
#include <__algorithm/next_permutation.h> 
#include <__algorithm/none_of.h> 
#include <__algorithm/nth_element.h> 
#include <__algorithm/partial_sort.h> 
#include <__algorithm/partial_sort_copy.h> 
#include <__algorithm/partition.h> 
#include <__algorithm/partition_copy.h> 
#include <__algorithm/partition_point.h> 
#include <__algorithm/pop_heap.h> 
#include <__algorithm/prev_permutation.h> 
#include <__algorithm/push_heap.h> 
#include <__algorithm/remove.h> 
#include <__algorithm/remove_copy.h> 
#include <__algorithm/remove_copy_if.h> 
#include <__algorithm/remove_if.h> 
#include <__algorithm/replace.h> 
#include <__algorithm/replace_copy.h> 
#include <__algorithm/replace_copy_if.h> 
#include <__algorithm/replace_if.h> 
#include <__algorithm/reverse.h> 
#include <__algorithm/reverse_copy.h> 
#include <__algorithm/rotate.h> 
#include <__algorithm/rotate_copy.h> 
#include <__algorithm/sample.h> 
#include <__algorithm/search.h> 
#include <__algorithm/search_n.h> 
#include <__algorithm/set_difference.h> 
#include <__algorithm/set_intersection.h> 
#include <__algorithm/set_symmetric_difference.h> 
#include <__algorithm/set_union.h> 
#include <__algorithm/shift_left.h> 
#include <__algorithm/shift_right.h> 
#include <__algorithm/shuffle.h> 
#include <__algorithm/sift_down.h> 
#include <__algorithm/sort.h> 
#include <__algorithm/sort_heap.h> 
#include <__algorithm/stable_partition.h> 
#include <__algorithm/stable_sort.h> 
#include <__algorithm/swap_ranges.h> 
#include <__algorithm/transform.h> 
#include <__algorithm/unique_copy.h> 
#include <__algorithm/unique.h> 
#include <__algorithm/unwrap_iter.h> 
#include <__algorithm/upper_bound.h> 
 
#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) 
#pragma GCC system_header 
#endif 
 
#if defined(_LIBCPP_HAS_PARALLEL_ALGORITHMS) && _LIBCPP_STD_VER >= 17 
//#   include <__pstl_algorithm> 
#endif 
 
#endif // _LIBCPP_ALGORITHM