# Experimental library header <experimental/ranges/algorithm>

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This header is part of the ranges library.

### Tag specifiers

Defined in namespace `std::experimental::ranges::tag`
in in1 in2 out out1 out2 fun min max begin end | tag specifiers for use with ranges::tagged (class)

### Non-modifying sequence operations

Defined in namespace `std::experimental::ranges`
all_of any_of none_of | checks if a predicate is true for all, any or none of the elements in a range (function template)
for_each | applies a function to a range of elements (function template)
count count_if | returns the number of elements satisfying specific criteria (function template)
mismatch | finds the first position where two ranges differ (function template)
equal | determines if two sets of elements are the same (function template)
lexicographical_compare | returns true if one range is lexicographically less than another (function template)
find find_if find_if_not | finds the first element satisfying specific criteria (function template)
find_end | finds the last sequence of elements in a certain range (function template)
find_first_of | searches for any one of a set of elements (function template)
adjacent_find | finds the first two adjacent items that are equal (or satisfy a given predicate) (function template)
search | searches for a range of elements (function template)
search_n | searches for a number consecutive copies of an element in a range (function template)

### Modifying sequence operations

Defined in namespace `std::experimental::ranges`
copy copy_if | copies a range of elements to a new location (function template)
copy_n | copies a number of elements to a new location (function template)
copy_backward | copies a range of elements in backwards order (function template)
move | moves a range of elements to a new location (function template)
move_backward | moves a range of elements to a new location in backwards order (function template)
fill | assigns a range of elements a certain value (function template)
fill_n | assigns a value to a number of elements (function template)
transform | applies a function to a range of elements (function template)
generate | saves the result of a function in a range (function template)
generate_n | saves the result of N applications of a function (function template)
remove remove_if | removes elements satisfying specific criteria (function template)
remove_copy remove_copy_if | copies a range of elements omitting those that satisfy specific criteria (function template)
replace replace_if | replaces all values satisfying specific criteria with another value (function template)
replace_copy replace_copy_if | copies a range, replacing elements satisfying specific criteria with another value (function template)
swap_ranges | swaps two ranges of elements (function template)
reverse | reverses the order of elements in a range (function template)
reverse_copy | creates a copy of a range that is reversed (function template)
rotate | rotates the order of elements in a range (function template)
rotate_copy | copies and rotate a range of elements (function template)
shuffle | randomly re-orders elements in a range (function template)
unique | removes consecutive duplicate elements in a range (function template)
unique_copy | creates a copy of some range of elements that contains no consecutive duplicates (function template)

### Partitioning operations

Defined in namespace `std::experimental::ranges`
is_partitioned | determines if the range is partitioned by the given predicate (function template)
partition | divides a range of elements into two groups (function template)
partition_copy | copies a range dividing the elements into two groups (function template)
stable_partition | divides elements into two groups while preserving their relative order (function template)
partition_point | locates the partition point of a partitioned range (function template)

### Sorting operations

Defined in namespace `std::experimental::ranges`
is_sorted | checks whether a range is sorted into ascending order (function template)
is_sorted_until | finds the largest sorted subrange (function template)
sort | sorts a range into ascending order (function template)
partial_sort | sorts the first N elements of a range (function template)
partial_sort_copy | copies and partially sorts a range of elements (function template)
stable_sort | sorts a range of elements while preserving order between equal elements (function template)
nth_element | partially sorts the given range making sure that it is partitioned by the given element (function template)

### Binary search operations (on sorted ranges)

Defined in namespace `std::experimental::ranges`
lower_bound | returns an iterator to the first element not less than the given value (function template)
upper_bound | returns an iterator to the first element greater than a certain value (function template)
binary_search | determines if an element exists in a certain range (function template)
equal_range | returns range of elements matching a specific key (function template)

### Set operations (on sorted ranges)

Defined in namespace `std::experimental::ranges`
merge | merges two sorted ranges (function template)
inplace_merge | merges two ordered ranges in-place (function template)
includes | returns true if one set is a subset of another (function template)
set_difference | computes the difference between two sets (function template)
set_intersection | computes the intersection of two sets (function template)
set_symmetric_difference | computes the symmetric difference between two sets (function template)
set_union | computes the union of two sets (function template)

### Heap operations

Defined in namespace `std::experimental::ranges`
is_heap | checks if the given range is a max heap (function template)
is_heap_until | finds the largest subrange that is a max heap (function template)
make_heap | creates a max heap out of a range of elements (function template)
push_heap | adds an element to a max heap (function template)
pop_heap | removes the largest element from a max heap (function template)
sort_heap | turns a max heap into a range of elements sorted in ascending order (function template)

### Minimum/maximum operations

Defined in namespace `std::experimental::ranges`
max | returns the greater of the given values (function template)
max_element | returns the largest element in a range (function template)
min | returns the smaller of the given values (function template)
min_element | returns the smallest element in a range (function template)
minmax | returns the smaller and larger of two elements (function template)
minmax_element | returns the smallest and the largest elements in a range (function template)

### Permutation operations

Defined in namespace `std::experimental::ranges`
is_permutation | determines if a sequence is a permutation of another sequence (function template)
next_permutation | generates the next greater lexicographic permutation of a range of elements (function template)
prev_permutation | generates the next smaller lexicographic permutation of a range of elements (function template)

### Synopsis

    #include <initializer_list>

    namespace std { namespace experimental { namespace ranges { inline namespace v1 {

    namespace tag {
      struct in;
      struct in1;
      struct in2;
      struct out;
      struct out1;
      struct out2;
      struct fun;
      struct min;
      struct max;
      struct begin;
      struct end;
    }

    template <InputIterator I, Sentinel<I> S, class Proj = identity,
        IndirectUnaryPredicate<projected<I, Proj>> Pred>
      bool all_of(I first, S last, Pred pred, Proj proj = Proj{});

    template <InputRange Rng, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      bool all_of(Rng&& rng, Pred pred, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, class Proj = identity,
        IndirectUnaryPredicate<projected<I, Proj>> Pred>
      bool any_of(I first, S last, Pred pred, Proj proj = Proj{});

    template <InputRange Rng, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      bool any_of(Rng&& rng, Pred pred, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, class Proj = identity,
        IndirectUnaryPredicate<projected<I, Proj>> Pred>
      bool none_of(I first, S last, Pred pred, Proj proj = Proj{});

    template <InputRange Rng, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      bool none_of(Rng&& rng, Pred pred, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, class Proj = identity,
        IndirectUnaryInvocable<projected<I, Proj>> Fun>
      tagged_pair<tag::in(I), tag::fun(Fun)>
        for_each(I first, S last, Fun f, Proj proj = Proj{});

    template <InputRange Rng, class Proj = identity,
        IndirectUnaryInvocable<projected<iterator_t<Rng>, Proj>> Fun>
      tagged_pair<tag::in(safe_iterator_t<Rng>), tag::fun(Fun)>
        for_each(Rng&& rng, Fun f, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, class T, class Proj = identity>
      requires IndirectRelation<equal_to<>, projected<I, Proj>, const T*>
      I find(I first, S last, const T& value, Proj proj = Proj{});

    template <InputRange Rng, class T, class Proj = identity>
      requires IndirectRelation<equal_to<>, projected<iterator_t<Rng>, Proj>, const T*>
      safe_iterator_t<Rng>
        find(Rng&& rng, const T& value, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, class Proj = identity,
        IndirectUnaryPredicate<projected<I, Proj>> Pred>
      I find_if(I first, S last, Pred pred, Proj proj = Proj{});

    template <InputRange Rng, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      safe_iterator_t<Rng>
        find_if(Rng&& rng, Pred pred, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, class Proj = identity,
        IndirectUnaryPredicate<projected<I, Proj>> Pred>
      I find_if_not(I first, S last, Pred pred, Proj proj = Proj{});

    template <InputRange Rng, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      safe_iterator_t<Rng>
        find_if_not(Rng&& rng, Pred pred, Proj proj = Proj{});

    template <ForwardIterator I1, Sentinel<I1> S1, ForwardIterator I2,
        Sentinel<I2> S2, class Proj = identity,
        IndirectRelation<I2, projected<I1, Proj>> Pred = equal_to<>>
      I1
        find_end(I1 first1, S1 last1, I2 first2, S2 last2,
                 Pred pred = Pred{}, Proj proj = Proj{});

    template <ForwardRange Rng1, ForwardRange Rng2, class Proj = identity,
        IndirectRelation<iterator_t<Rng2>,
          projected<iterator_t<Rng>, Proj>> Pred = equal_to<>>
      safe_iterator_t<Rng1>
        find_end(Rng1&& rng1, Rng2&& rng2, Pred pred = Pred{}, Proj proj = Proj{});

    template <InputIterator I1, Sentinel<I1> S1, ForwardIterator I2, Sentinel<I2> S2,
        class Proj1 = identity, class Proj2 = identity,
        IndirectRelation<projected<I1, Proj1>, projected<I2, Proj2>> Pred = equal_to<>>
      I1
        find_first_of(I1 first1, S1 last1, I2 first2, S2 last2,
                      Pred pred = Pred{},
                      Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputRange Rng1, ForwardRange Rng2, class Proj1 = identity,
        class Proj2 = identity,
        IndirectRelation<projected<iterator_t<Rng1>, Proj1>,
          projected<iterator_t<Rng2>, Proj2>> Pred = equal_to<>>
      safe_iterator_t<Rng1>
        find_first_of(Rng1&& rng1, Rng2&& rng2,
                      Pred pred = Pred{},
                      Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
        IndirectRelation<projected<I, Proj>> Pred = equal_to<>>
      I
        adjacent_find(I first, S last, Pred pred = Pred{},
                      Proj proj = Proj{});

    template <ForwardRange Rng, class Proj = identity,
        IndirectRelation<projected<iterator_t<Rng>, Proj>> Pred = equal_to<>>
      safe_iterator_t<Rng>
        adjacent_find(Rng&& rng, Pred pred = Pred{}, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, class T, class Proj = identity>
      requires IndirectRelation<equal_to<>, projected<I, Proj>, const T*>
      difference_type_t<I>
        count(I first, S last, const T& value, Proj proj = Proj{});

    template <InputRange Rng, class T, class Proj = identity>
      requires IndirectRelation<equal_to<>, projected<iterator_t<Rng>, Proj>, const T*>
      difference_type_t<iterator_t<Rng>>
        count(Rng&& rng, const T& value, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, class Proj = identity,
        IndirectUnaryPredicate<projected<I, Proj>> Pred>
      difference_type_t<I>
        count_if(I first, S last, Pred pred, Proj proj = Proj{});

    template <InputRange Rng, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      difference_type_t<iterator_t<Rng>>
        count_if(Rng&& rng, Pred pred, Proj proj = Proj{});

    template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
        class Proj1 = identity, class Proj2 = identity,
        IndirectRelation<projected<I1, Proj1>, projected<I2, Proj2>> Pred = equal_to<>>
      tagged_pair<tag::in1(I1), tag::in2(I2)>
        mismatch(I1 first1, S1 last1, I2 first2, S2 last2, Pred pred = Pred{},
                 Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputRange Rng1, InputRange Rng2,
        class Proj1 = identity, class Proj2 = identity,
        IndirectRelation<projected<iterator_t<Rng1>, Proj1>,
          projected<iterator_t<Rng2>, Proj2>> Pred = equal_to<>>
      tagged_pair<tag::in1(safe_iterator_t<Rng1>),
                  tag::in2(safe_iterator_t<Rng2>)>
        mismatch(Rng1&& rng1, Rng2&& rng2, Pred pred = Pred{},
                 Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
        class Pred = equal_to<>, class Proj1 = identity, class Proj2 = identity>
      requires IndirectlyComparable<I1, I2, Pred, Proj1, Proj2>
      bool equal(I1 first1, S1 last1, I2 first2, S2 last2,
                 Pred pred = Pred{},
                 Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputRange Rng1, InputRange Rng2, class Pred = equal_to<>,
        class Proj1 = identity, class Proj2 = identity>
      requires IndirectlyComparable<iterator_t<Rng1>, iterator_t<Rng2>, Pred, Proj1, Proj2>
      bool equal(Rng1&& rng1, Rng2&& rng2, Pred pred = Pred{},
                 Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <ForwardIterator I1, Sentinel<I1> S1, ForwardIterator I2,
        Sentinel<I2> S2, class Pred = equal_to<>, class Proj1 = identity,
        class Proj2 = identity>
      requires IndirectlyComparable<I1, I2, Pred, Proj1, Proj2>
      bool is_permutation(I1 first1, S1 last1, I2 first2, S2 last2,
                          Pred pred = Pred{},
                          Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <ForwardRange Rng1, ForwardRange Rng2, class Pred = equal_to<>,
        class Proj1 = identity, class Proj2 = identity>
      requires IndirectlyComparable<iterator_t<Rng1>, iterator_t<Rng2>, Pred, Proj1, Proj2>
      bool is_permutation(Rng1&& rng1, Rng2&& rng2, Pred pred = Pred{},
                          Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <ForwardIterator I1, Sentinel<I1> S1, ForwardIterator I2,
        Sentinel<I2> S2, class Pred = equal_to<>,
        class Proj1 = identity, class Proj2 = identity>
      requires IndirectlyComparable<I1, I2, Pred, Proj1, Proj2>
      I1
        search(I1 first1, S1 last1, I2 first2, S2 last2,
               Pred pred = Pred{},
               Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <ForwardRange Rng1, ForwardRange Rng2, class Pred = equal_to<>,
        class Proj1 = identity, class Proj2 = identity>
      requires IndirectlyComparable<iterator_t<Rng1>, iterator_t<Rng2>, Pred, Proj1, Proj2>
      safe_iterator_t<Rng1>
        search(Rng1&& rng1, Rng2&& rng2, Pred pred = Pred{},
               Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <ForwardIterator I, Sentinel<I> S, class T,
        class Pred = equal_to<>, class Proj = identity>
      requires IndirectlyComparable<I, const T*, Pred, Proj>
      I
        search_n(I first, S last, difference_type_t<I> count,
                 const T& value, Pred pred = Pred{},
                 Proj proj = Proj{});

    template <ForwardRange Rng, class T, class Pred = equal_to<>,
        class Proj = identity>
      requires IndirectlyComparable<iterator_t<Rng>, const T*, Pred, Proj>
      safe_iterator_t<Rng>
        search_n(Rng&& rng, difference_type_t<iterator_t<Rng>> count,
                 const T& value, Pred pred = Pred{}, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O>
      requires IndirectlyCopyable<I, O>
      tagged_pair<tag::in(I), tag::out(O)>
        copy(I first, S last, O result);

    template <InputRange Rng, WeaklyIncrementable O>
      requires IndirectlyCopyable<iterator_t<Rng>, O>
      tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
        copy(Rng&& rng, O result);

    template <InputIterator I, WeaklyIncrementable O>
      requires IndirectlyCopyable<I, O>
      tagged_pair<tag::in(I), tag::out(O)>
        copy_n(I first, difference_type_t<I> n, O result);

    template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O, class Proj = identity,
        IndirectUnaryPredicate<projected<I, Proj>> Pred>
      requires IndirectlyCopyable<I, O>
      tagged_pair<tag::in(I), tag::out(O)>
        copy_if(I first, S last, O result, Pred pred, Proj proj = Proj{});

    template <InputRange Rng, WeaklyIncrementable O, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      requires IndirectlyCopyable<iterator_t<Rng>, O>
      tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
        copy_if(Rng&& rng, O result, Pred pred, Proj proj = Proj{});

    template <BidirectionalIterator I1, Sentinel<I1> S1, BidirectionalIterator I2>
      requires IndirectlyCopyable<I1, I2>
      tagged_pair<tag::in(I1), tag::out(I2)>
        copy_backward(I1 first, S1 last, I2 result);

    template <BidirectionalRange Rng, BidirectionalIterator I>
      requires IndirectlyCopyable<iterator_t<Rng>, I>
      tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(I)>
        copy_backward(Rng&& rng, I result);

    template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O>
      requires IndirectlyMovable<I, O>
      tagged_pair<tag::in(I), tag::out(O)>
        move(I first, S last, O result);

    template <InputRange Rng, WeaklyIncrementable O>
      requires IndirectlyMovable<iterator_t<Rng>, O>
      tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
        move(Rng&& rng, O result);

    template <BidirectionalIterator I1, Sentinel<I1> S1, BidirectionalIterator I2>
      requires IndirectlyMovable<I1, I2>
      tagged_pair<tag::in(I1), tag::out(I2)>
        move_backward(I1 first, S1 last, I2 result);

    template <BidirectionalRange Rng, BidirectionalIterator I>
      requires IndirectlyMovable<iterator_t<Rng>, I>
      tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(I)>
        move_backward(Rng&& rng, I result);

    template <ForwardIterator I1, Sentinel<I1> S1, ForwardIterator I2, Sentinel<I2> S2>
      requires IndirectlySwappable<I1, I2>
      tagged_pair<tag::in1(I1), tag::in2(I2)>
        swap_ranges(I1 first1, S1 last1, I2 first2, S2 last2);

    template <ForwardRange Rng1, ForwardRange Rng2>
      requires IndirectlySwappable<iterator_t<Rng1>, iterator_t<Rng2>>
      tagged_pair<tag::in1(safe_iterator_t<Rng1>), tag::in2(safe_iterator_t<Rng2>)>
        swap_ranges(Rng1&& rng1, Rng2&& rng2);

    template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O,
        CopyConstructible F, class Proj = identity>
      requires Writable<O, indirect_result_of_t<F&(projected<I, Proj>)>>
      tagged_pair<tag::in(I), tag::out(O)>
        transform(I first, S last, O result, F op, Proj proj = Proj{});

    template <InputRange Rng, WeaklyIncrementable O, CopyConstructible F,
        class Proj = identity>
      requires Writable<O, indirect_result_of_t<F&(
        projected<iterator_t<R>, Proj>)>>
      tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
        transform(Rng&& rng, O result, F op, Proj proj = Proj{});

    template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
        WeaklyIncrementable O, CopyConstructible F, class Proj1 = identity,
        class Proj2 = identity>
      requires Writable<O, indirect_result_of_t<F&(projected<I1, Proj1>,
        projected<I2, Proj2>)>>
      tagged_tuple<tag::in1(I1), tag::in2(I2), tag::out(O)>
        transform(I1 first1, S1 last1, I2 first2, S2 last2, O result,
                  F binary_op, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputRange Rng1, InputRange Rng2, WeaklyIncrementable O,
        CopyConstructible F, class Proj1 = identity, class Proj2 = identity>
      requires Writable<O, indirect_result_of_t<F&(
        projected<iterator_t<Rng1>, Proj1>, projected<iterator_t<Rng2>, Proj2>)>>
      tagged_tuple<tag::in1(safe_iterator_t<Rng1>),
                   tag::in2(safe_iterator_t<Rng2>),
                   tag::out(O)>
        transform(Rng1&& rng1, Rng2&& rng2, O result,
                  F binary_op, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputIterator I, Sentinel<I> S, class T1, class T2, class Proj = identity>
      requires Writable<I, const T2&> &&
        IndirectRelation<equal_to<>, projected<I, Proj>, const T1*>
      I
        replace(I first, S last, const T1& old_value, const T2& new_value, Proj proj = Proj{});

    template <InputRange Rng, class T1, class T2, class Proj = identity>
      requires Writable<iterator_t<Rng>, const T2&> &&
        IndirectRelation<equal_to<>, projected<iterator_t<Rng>, Proj>, const T1*>
      safe_iterator_t<Rng>
        replace(Rng&& rng, const T1& old_value, const T2& new_value, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, class T, class Proj = identity,
        IndirectUnaryPredicate<projected<I, Proj>> Pred>
      requires Writable<I, const T&>
      I
        replace_if(I first, S last, Pred pred, const T& new_value, Proj proj = Proj{});

    template <InputRange Rng, class T, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      requires Writable<iterator_t<Rng>, const T&>
      safe_iterator_t<Rng>
        replace_if(Rng&& rng, Pred pred, const T& new_value, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, class T1, class T2, OutputIterator<const T2&> O,
        class Proj = identity>
      requires IndirectlyCopyable<I, O> &&
        IndirectRelation<equal_to<>, projected<I, Proj>, const T1*>
      tagged_pair<tag::in(I), tag::out(O)>
        replace_copy(I first, S last, O result, const T1& old_value, const T2& new_value,
                     Proj proj = Proj{});

    template <InputRange Rng, class T1, class T2, OutputIterator<const T2&> O,
        class Proj = identity>
      requires IndirectlyCopyable<iterator_t<Rng>, O> &&
        IndirectRelation<equal_to<>, projected<iterator_t<Rng>, Proj>, const T1*>
      tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
        replace_copy(Rng&& rng, O result, const T1& old_value, const T2& new_value,
                     Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, class T, OutputIterator<const T&> O,
        class Proj = identity, IndirectUnaryPredicate<projected<I, Proj>> Pred>
      requires IndirectlyCopyable<I, O>
      tagged_pair<tag::in(I), tag::out(O)>
        replace_copy_if(I first, S last, O result, Pred pred, const T& new_value,
                        Proj proj = Proj{});

    template <InputRange Rng, class T, OutputIterator<const T&> O, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      requires IndirectlyCopyable<iterator_t<Rng>, O>
      tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
        replace_copy_if(Rng&& rng, O result, Pred pred, const T& new_value,
                        Proj proj = Proj{});

    template <class T, OutputIterator<const T&> O, Sentinel<O> S>
      O fill(O first, S last, const T& value);

    template <class T, OutputRange<const T&> Rng>
      safe_iterator_t<Rng>
        fill(Rng&& rng, const T& value);

    template <class T, OutputIterator<const T&> O>
      O fill_n(O first, difference_type_t<O> n, const T& value);

    template <Iterator O, Sentinel<O> S, CopyConstructible F>
      requires Invocable<F&> && Writable<O, result_of_t<F&()>>
      O generate(O first, S last, F gen);

    template <class Rng, CopyConstructible F>
      requires Invocable<F&> && OutputRange<Rng, result_of_t<F&()>>
      safe_iterator_t<Rng>
        generate(Rng&& rng, F gen);

    template <Iterator O, CopyConstructible F>
      requires Invocable<F&> && Writable<O, result_of_t<F&()>>
      O generate_n(O first, difference_type_t<O> n, F gen);

    template <ForwardIterator I, Sentinel<I> S, class T, class Proj = identity>
      requires Permutable<I> &&
        IndirectRelation<equal_to<>, projected<I, Proj>, const T*>
      I remove(I first, S last, const T& value, Proj proj = Proj{});

    template <ForwardRange Rng, class T, class Proj = identity>
      requires Permutable<iterator_t<Rng>> &&
        IndirectRelation<equal_to<>, projected<iterator_t<Rng>, Proj>, const T*>
      safe_iterator_t<Rng>
        remove(Rng&& rng, const T& value, Proj proj = Proj{});

    template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
        IndirectUnaryPredicate<projected<I, Proj>> Pred>
      requires Permutable<I>
        I remove_if(I first, S last, Pred pred, Proj proj = Proj{});

    template <ForwardRange Rng, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      requires Permutable<iterator_t<Rng>>
      safe_iterator_t<Rng>
        remove_if(Rng&& rng, Pred pred, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O, class T,
        class Proj = identity>
      requires IndirectlyCopyable<I, O> &&
        IndirectRelation<equal_to<>, projected<I, Proj>, const T*>
      tagged_pair<tag::in(I), tag::out(O)>
        remove_copy(I first, S last, O result, const T& value, Proj proj = Proj{});

    template <InputRange Rng, WeaklyIncrementable O, class T, class Proj = identity>
      requires IndirectlyCopyable<iterator_t<Rng>, O> &&
        IndirectRelation<equal_to<>, projected<iterator_t<Rng>, Proj>, const T*>
      tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
        remove_copy(Rng&& rng, O result, const T& value, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O,
        class Proj = identity, IndirectUnaryPredicate<projected<I, Proj>> Pred>
      requires IndirectlyCopyable<I, O>
      tagged_pair<tag::in(I), tag::out(O)>
        remove_copy_if(I first, S last, O result, Pred pred, Proj proj = Proj{});

    template <InputRange Rng, WeaklyIncrementable O, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      requires IndirectlyCopyable<iterator_t<Rng>, O>
      tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
        remove_copy_if(Rng&& rng, O result, Pred pred, Proj proj = Proj{});

    template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
        IndirectRelation<projected<I, Proj>> R = equal_to<>>
      requires Permutable<I>
      I unique(I first, S last, R comp = R{}, Proj proj = Proj{});

    template <ForwardRange Rng, class Proj = identity,
        IndirectRelation<projected<iterator_t<Rng>, Proj>> R = equal_to<>>
      requires Permutable<iterator_t<Rng>>
      safe_iterator_t<Rng>
        unique(Rng&& rng, R comp = R{}, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O,
        class Proj = identity, IndirectRelation<projected<I, Proj>> R = equal_to<>>
      requires IndirectlyCopyable<I, O> &&
        (ForwardIterator<I> ||
        (InputIterator<O> && Same<value_type_t<I>, value_type_t<O>>) ||
        IndirectlyCopyableStorable<I, O>)
      tagged_pair<tag::in(I), tag::out(O)>
        unique_copy(I first, S last, O result, R comp = R{}, Proj proj = Proj{});

    template <InputRange Rng, WeaklyIncrementable O, class Proj = identity,
        IndirectRelation<projected<iterator_t<Rng>, Proj>> R = equal_to<>>
      requires IndirectlyCopyable<iterator_t<Rng>, O> &&
        (ForwardIterator<iterator_t<Rng>> ||
        (InputIterator<O> && Same<value_type_t<iterator_t<Rng>>, value_type_t<O>>) ||
        IndirectlyCopyableStorable<iterator_t<Rng>, O>)
      tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
        unique_copy(Rng&& rng, O result, R comp = R{}, Proj proj = Proj{});

    template <BidirectionalIterator I, Sentinel<I> S>
      requires Permutable<I>
      I reverse(I first, S last);

    template <BidirectionalRange Rng>
      requires Permutable<iterator_t<Rng>>
      safe_iterator_t<Rng>
        reverse(Rng&& rng);

    template <BidirectionalIterator I, Sentinel<I> S, WeaklyIncrementable O>
      requires IndirectlyCopyable<I, O>
      tagged_pair<tag::in(I), tag::out(O)> reverse_copy(I first, S last, O result);

    template <BidirectionalRange Rng, WeaklyIncrementable O>
      requires IndirectlyCopyable<iterator_t<Rng>, O>
      tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
        reverse_copy(Rng&& rng, O result);

    template <ForwardIterator I, Sentinel<I> S>
      requires Permutable<I>
      tagged_pair<tag::begin(I), tag::end(I)>
        rotate(I first, I middle, S last);

    template <ForwardRange Rng>
      requires Permutable<iterator_t<Rng>>
      tagged_pair<tag::begin(safe_iterator_t<Rng>),
                  tag::end(safe_iterator_t<Rng>)>
        rotate(Rng&& rng, iterator_t<Rng> middle);

    template <ForwardIterator I, Sentinel<I> S, WeaklyIncrementable O>
      requires IndirectlyCopyable<I, O>
      tagged_pair<tag::in(I), tag::out(O)>
        rotate_copy(I first, I middle, S last, O result);

    template <ForwardRange Rng, WeaklyIncrementable O>
      requires IndirectlyCopyable<iterator_t<Rng>, O>
      tagged_pair<tag::in(safe_iterator_t<Rng>), tag::out(O)>
        rotate_copy(Rng&& rng, iterator_t<Rng> middle, O result);

    template <RandomAccessIterator I, Sentinel<I> S, class Gen>
      requires Permutable<I> &&
        UniformRandomNumberGenerator<remove_reference_t<Gen>> &&
        ConvertibleTo<result_of_t<Gen&()>, difference_type_t<I>>
      I shuffle(I first, S last, Gen&& g);

    template <RandomAccessRange Rng, class Gen>
      requires Permutable<I> &&
        UniformRandomNumberGenerator<remove_reference_t<Gen>> &&
        ConvertibleTo<result_of_t<Gen&()>, difference_type_t<I>>
      safe_iterator_t<Rng>
        shuffle(Rng&& rng, Gen&& g);

    template <InputIterator I, Sentinel<I> S, class Proj = identity,
        IndirectUnaryPredicate<projected<I, Proj>> Pred>
      bool is_partitioned(I first, S last, Pred pred, Proj proj = Proj{});

    template <InputRange Rng, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      bool
        is_partitioned(Rng&& rng, Pred pred, Proj proj = Proj{});

    template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
        IndirectUnaryPredicate<projected<I, Proj>> Pred>
      requires Permutable<I>
        I partition(I first, S last, Pred pred, Proj proj = Proj{});

    template <ForwardRange Rng, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      requires Permutable<iterator_t<Rng>>
      safe_iterator_t<Rng>
        partition(Rng&& rng, Pred pred, Proj proj = Proj{});

    template <BidirectionalIterator I, Sentinel<I> S, class Proj = identity,
        IndirectUnaryPredicate<projected<I, Proj>> Pred>
      requires Permutable<I>
      I stable_partition(I first, S last, Pred pred, Proj proj = Proj{});

    template <BidirectionalRange Rng, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      requires Permutable<iterator_t<Rng>>
      safe_iterator_t<Rng>
        stable_partition(Rng&& rng, Pred pred, Proj proj = Proj{});

    template <InputIterator I, Sentinel<I> S, WeaklyIncrementable O1, WeaklyIncrementable O2,
        class Proj = identity, IndirectUnaryPredicate<projected<I, Proj>> Pred>
      requires IndirectlyCopyable<I, O1> && IndirectlyCopyable<I, O2>
      tagged_tuple<tag::in(I), tag::out1(O1), tag::out2(O2)>
        partition_copy(I first, S last, O1 out_true, O2 out_false, Pred pred,
                       Proj proj = Proj{});

    template <InputRange Rng, WeaklyIncrementable O1, WeaklyIncrementable O2,
        class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      requires IndirectlyCopyable<iterator_t<Rng>, O1> &&
        IndirectlyCopyable<iterator_t<Rng>, O2>
      tagged_tuple<tag::in(safe_iterator_t<Rng>), tag::out1(O1), tag::out2(O2)>
        partition_copy(Rng&& rng, O1 out_true, O2 out_false, Pred pred, Proj proj = Proj{});

    template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
        IndirectUnaryPredicate<projected<I, Proj>> Pred>
      I partition_point(I first, S last, Pred pred, Proj proj = Proj{});

    template <ForwardRange Rng, class Proj = identity,
        IndirectUnaryPredicate<projected<iterator_t<Rng>, Proj>> Pred>
      safe_iterator_t<Rng>
        partition_point(Rng&& rng, Pred pred, Proj proj = Proj{});

    template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
        class Proj = identity>
      requires Sortable<I, Comp, Proj>
        I sort(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
      requires Sortable<iterator_t<Rng>, Comp, Proj>
      safe_iterator_t<Rng>
        sort(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
        class Proj = identity>
      requires Sortable<I, Comp, Proj>
        I stable_sort(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
      requires Sortable<iterator_t<Rng>, Comp, Proj>
      safe_iterator_t<Rng>
        stable_sort(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
        class Proj = identity>
      requires Sortable<I, Comp, Proj>
        I partial_sort(I first, I middle, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
      requires Sortable<iterator_t<Rng>, Comp, Proj>
      safe_iterator_t<Rng>
        partial_sort(Rng&& rng, iterator_t<Rng> middle, Comp comp = Comp{},
                     Proj proj = Proj{});

    template <InputIterator I1, Sentinel<I1> S1, RandomAccessIterator I2, Sentinel<I2> S2,
        class Comp = less<>, class Proj1 = identity, class Proj2 = identity>
      requires IndirectlyCopyable<I1, I2> && Sortable<I2, Comp, Proj2> &&
        IndirectStrictWeakOrder<Comp, projected<I1, Proj1>, projected<I2, Proj2>>
      I2
        partial_sort_copy(I1 first, S1 last, I2 result_first, S2 result_last,
                          Comp comp = Comp{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputRange Rng1, RandomAccessRange Rng2, class Comp = less<>,
        class Proj1 = identity, class Proj2 = identity>
      requires IndirectlyCopyable<iterator_t<Rng1>, iterator_t<Rng2>> &&
        Sortable<iterator_t<Rng2>, Comp, Proj2> &&
        IndirectStrictWeakOrder<Comp, projected<iterator_t<Rng1>, Proj1>,
          projected<iterator_t<Rng2>, Proj2>>
      safe_iterator_t<Rng2>
        partial_sort_copy(Rng1&& rng, Rng2&& result_rng, Comp comp = Comp{},
                          Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
        IndirectStrictWeakOrder<projected<I, Proj>> Comp = less<>>
      bool is_sorted(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardRange Rng, class Proj = identity,
        IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
      bool
        is_sorted(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
        IndirectStrictWeakOrder<projected<I, Proj>> Comp = less<>>
      I is_sorted_until(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardRange Rng, class Proj = identity,
        IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
      safe_iterator_t<Rng>
        is_sorted_until(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
        class Proj = identity>
      requires Sortable<I, Comp, Proj>
        I nth_element(I first, I nth, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
      requires Sortable<iterator_t<Rng>, Comp, Proj>
      safe_iterator_t<Rng>
        nth_element(Rng&& rng, iterator_t<Rng> nth, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardIterator I, Sentinel<I> S, class T, class Proj = identity,
        IndirectStrictWeakOrder<const T*, projected<I, Proj>> Comp = less<>>
      I
        lower_bound(I first, S last, const T& value, Comp comp = Comp{},
                    Proj proj = Proj{});

    template <ForwardRange Rng, class T, class Proj = identity,
        IndirectStrictWeakOrder<const T*, projected<iterator_t<Rng>, Proj>> Comp = less<>>
      safe_iterator_t<Rng>
        lower_bound(Rng&& rng, const T& value, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardIterator I, Sentinel<I> S, class T, class Proj = identity,
        IndirectStrictWeakOrder<const T*, projected<I, Proj>> Comp = less<>>
      I
        upper_bound(I first, S last, const T& value, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardRange Rng, class T, class Proj = identity,
        IndirectStrictWeakOrder<const T*, projected<iterator_t<Rng>, Proj>> Comp = less<>>
      safe_iterator_t<Rng>
        upper_bound(Rng&& rng, const T& value, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardIterator I, Sentinel<I> S, class T, class Proj = identity,
        IndirectStrictWeakOrder<const T*, projected<I, Proj>> Comp = less<>>
      tagged_pair<tag::begin(I), tag::end(I)>
        equal_range(I first, S last, const T& value, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardRange Rng, class T, class Proj = identity,
        IndirectStrictWeakOrder<const T*, projected<iterator_t<Rng>, Proj>> Comp = less<>>
      tagged_pair<tag::begin(safe_iterator_t<Rng>),
                  tag::end(safe_iterator_t<Rng>)>
        equal_range(Rng&& rng, const T& value, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardIterator I, Sentinel<I> S, class T, class Proj = identity,
        IndirectStrictWeakOrder<const T*, projected<I, Proj>> Comp = less<>>
      bool
        binary_search(I first, S last, const T& value, Comp comp = Comp{},
                      Proj proj = Proj{});

    template <ForwardRange Rng, class T, class Proj = identity,
        IndirectStrictWeakOrder<const T*, projected<iterator_t<Rng>, Proj>> Comp = less<>>
      bool
        binary_search(Rng&& rng, const T& value, Comp comp = Comp{},
                      Proj proj = Proj{});

    template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
        WeaklyIncrementable O, class Comp = less<>, class Proj1 = identity,
        class Proj2 = identity>
      requires Mergeable<I1, I2, O, Comp, Proj1, Proj2>
      tagged_tuple<tag::in1(I1), tag::in2(I2), tag::out(O)>
        merge(I1 first1, S1 last1, I2 first2, S2 last2, O result,
              Comp comp = Comp{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputRange Rng1, InputRange Rng2, WeaklyIncrementable O, class Comp = less<>,
        class Proj1 = identity, class Proj2 = identity>
      requires Mergeable<iterator_t<Rng1>, iterator_t<Rng2>, O, Comp, Proj1, Proj2>
      tagged_tuple<tag::in1(safe_iterator_t<Rng1>),
                   tag::in2(safe_iterator_t<Rng2>),
                   tag::out(O)>
        merge(Rng1&& rng1, Rng2&& rng2, O result,
              Comp comp = Comp{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <BidirectionalIterator I, Sentinel<I> S, class Comp = less<>,
        class Proj = identity>
      requires Sortable<I, Comp, Proj>
      I
        inplace_merge(I first, I middle, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <BidirectionalRange Rng, class Comp = less<>, class Proj = identity>
      requires Sortable<iterator_t<Rng>, Comp, Proj>
      safe_iterator_t<Rng>
        inplace_merge(Rng&& rng, iterator_t<Rng> middle, Comp comp = Comp{},
                      Proj proj = Proj{});

    template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
        class Proj1 = identity, class Proj2 = identity,
        IndirectStrictWeakOrder<projected<I1, Proj1>, projected<I2, Proj2>> Comp = less<>>
      bool
        includes(I1 first1, S1 last1, I2 first2, S2 last2, Comp comp = Comp{},
                 Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputRange Rng1, InputRange Rng2, class Proj1 = identity,
        class Proj2 = identity,
        IndirectStrictWeakOrder<projected<iterator_t<Rng1>, Proj1>,
          projected<iterator_t<Rng2>, Proj2>> Comp = less<>>
      bool
        includes(Rng1&& rng1, Rng2&& rng2, Comp comp = Comp{},
                 Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
        WeaklyIncrementable O, class Comp = less<>,
        class Proj1 = identity, class Proj2 = identity>
      requires Mergeable<I1, I2, O, Comp, Proj1, Proj2>
      tagged_tuple<tag::in1(I1), tag::in2(I2), tag::out(O)>
        set_union(I1 first1, S1 last1, I2 first2, S2 last2, O result, Comp comp = Comp{},
                  Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputRange Rng1, InputRange Rng2, WeaklyIncrementable O,
        class Comp = less<>, class Proj1 = identity, class Proj2 = identity>
      requires Mergeable<iterator_t<Rng1>, iterator_t<Rng2>, O, Comp, Proj1, Proj2>
      tagged_tuple<tag::in1(safe_iterator_t<Rng1>),
                   tag::in2(safe_iterator_t<Rng2>),
                   tag::out(O)>
        set_union(Rng1&& rng1, Rng2&& rng2, O result, Comp comp = Comp{},
                  Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
        WeaklyIncrementable O, class Comp = less<>,
        class Proj1 = identity, class Proj2 = identity>
      requires Mergeable<I1, I2, O, Comp, Proj1, Proj2>
      O
        set_intersection(I1 first1, S1 last1, I2 first2, S2 last2, O result,
                         Comp comp = Comp{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputRange Rng1, InputRange Rng2, WeaklyIncrementable O,
        class Comp = less<>, class Proj1 = identity, class Proj2 = identity>
      requires Mergeable<iterator_t<Rng1>, iterator_t<Rng2>, O, Comp, Proj1, Proj2>
      O
        set_intersection(Rng1&& rng1, Rng2&& rng2, O result,
                         Comp comp = Comp{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
        WeaklyIncrementable O, class Comp = less<>,
        class Proj1 = identity, class Proj2 = identity>
      requires Mergeable<I1, I2, O, Comp, Proj1, Proj2>
      tagged_pair<tag::in1(I1), tag::out(O)>
        set_difference(I1 first1, S1 last1, I2 first2, S2 last2, O result,
                       Comp comp = Comp{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputRange Rng1, InputRange Rng2, WeaklyIncrementable O,
        class Comp = less<>, class Proj1 = identity, class Proj2 = identity>
      requires Mergeable<iterator_t<Rng1>, iterator_t<Rng2>, O, Comp, Proj1, Proj2>
      tagged_pair<tag::in1(safe_iterator_t<Rng1>), tag::out(O)>
        set_difference(Rng1&& rng1, Rng2&& rng2, O result,
                       Comp comp = Comp{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
        WeaklyIncrementable O, class Comp = less<>,
        class Proj1 = identity, class Proj2 = identity>
      requires Mergeable<I1, I2, O, Comp, Proj1, Proj2>
      tagged_tuple<tag::in1(I1), tag::in2(I2), tag::out(O)>
        set_symmetric_difference(I1 first1, S1 last1, I2 first2, S2 last2, O result,
                                 Comp comp = Comp{}, Proj1 proj1 = Proj1{},
                                 Proj2 proj2 = Proj2{});

    template <InputRange Rng1, InputRange Rng2, WeaklyIncrementable O,
        class Comp = less<>, class Proj1 = identity, class Proj2 = identity>
      requires Mergeable<iterator_t<Rng1>, iterator_t<Rng2>, O, Comp, Proj1, Proj2>
      tagged_tuple<tag::in1(safe_iterator_t<Rng1>),
                   tag::in2(safe_iterator_t<Rng2>),
                   tag::out(O)>
        set_symmetric_difference(Rng1&& rng1, Rng2&& rng2, O result, Comp comp = Comp{},
                                 Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
        class Proj = identity>
      requires Sortable<I, Comp, Proj>
      I push_heap(I first, S last, Comp comp = Comp{}, Proj proj == Proj{});

    template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
      requires Sortable<iterator_t<Rng>, Comp, Proj>
      safe_iterator_t<Rng>
        push_heap(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
        class Proj = identity>
      requires Sortable<I, Comp, Proj>
      I pop_heap(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
      requires Sortable<iterator_t<Rng>, Comp, Proj>
      safe_iterator_t<Rng>
        pop_heap(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
        class Proj = identity>
      requires Sortable<I, Comp, Proj>
      I make_heap(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
      requires Sortable<iterator_t<Rng>, Comp, Proj>
      safe_iterator_t<Rng>
        make_heap(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessIterator I, Sentinel<I> S, class Comp = less<>,
        class Proj = identity>
      requires Sortable<I, Comp, Proj>
      I sort_heap(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessRange Rng, class Comp = less<>, class Proj = identity>
      requires Sortable<iterator_t<Rng>, Comp, Proj>
      safe_iterator_t<Rng>
        sort_heap(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessIterator I, Sentinel<I> S, class Proj = identity,
        IndirectStrictWeakOrder<projected<I, Proj>> Comp = less<>>
      bool is_heap(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessRange Rng, class Proj = identity,
        IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
      bool
        is_heap(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessIterator I, Sentinel<I> S, class Proj = identity,
        IndirectStrictWeakOrder<projected<I, Proj>> Comp = less<>>
      I is_heap_until(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <RandomAccessRange Rng, class Proj = identity,
        IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
      safe_iterator_t<Rng>
        is_heap_until(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <class T, class Proj = identity,
        IndirectStrictWeakOrder<projected<const T*, Proj>> Comp = less<>>
      constexpr const T& min(const T& a, const T& b, Comp comp = Comp{}, Proj proj = Proj{});

    template <Copyable T, class Proj = identity,
        IndirectStrictWeakOrder<projected<const T*, Proj>> Comp = less<>>
      constexpr T min(initializer_list<T> t, Comp comp = Comp{}, Proj proj = Proj{});

    template <InputRange Rng, class Proj = identity,
        IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
      requires Copyable<value_type_t<iterator_t<Rng>>>
      value_type_t<iterator_t<Rng>>
        min(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <class T, class Proj = identity,
        IndirectStrictWeakOrder<projected<const T*, Proj>> Comp = less<>>
      constexpr const T& max(const T& a, const T& b, Comp comp = Comp{}, Proj proj = Proj{});

    template <Copyable T, class Proj = identity,
        IndirectStrictWeakOrder<projected<const T*, Proj>> Comp = less<>>
      constexpr T max(initializer_list<T> t, Comp comp = Comp{}, Proj proj = Proj{});

    template <InputRange Rng, class Proj = identity,
        IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
      requires Copyable<value_type_t<iterator_t<Rng>>>
      value_type_t<iterator_t<Rng>>
        max(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <class T, class Proj = identity,
        IndirectStrictWeakOrder<projected<const T*, Proj>> Comp = less<>>
      constexpr tagged_pair<tag::min(const T&), tag::max(const T&)>
        minmax(const T& a, const T& b, Comp comp = Comp{}, Proj proj = Proj{});

    template <Copyable T, class Proj = identity,
        IndirectStrictWeakOrder<projected<const T*, Proj>> Comp = less<>>
      constexpr tagged_pair<tag::min(T), tag::max(T)>
        minmax(initializer_list<T> t, Comp comp = Comp{}, Proj proj = Proj{});

    template <InputRange Rng, class Proj = identity,
        IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
      requires Copyable<value_type_t<iterator_t<Rng>>>
      tagged_pair<tag::min(value_type_t<iterator_t<Rng>>),
                  tag::max(value_type_t<iterator_t<Rng>>)>
        minmax(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
        IndirectStrictWeakOrder<projected<I, Proj>> Comp = less<>>
      I min_element(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardRange Rng, class Proj = identity,
        IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
      safe_iterator_t<Rng>
        min_element(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
        IndirectStrictWeakOrder<projected<I, Proj>> Comp = less<>>
      I max_element(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardRange Rng, class Proj = identity,
        IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
      safe_iterator_t<Rng>
        max_element(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardIterator I, Sentinel<I> S, class Proj = identity,
        IndirectStrictWeakOrder<projected<I, Proj>> Comp = less<>>
      tagged_pair<tag::min(I), tag::max(I)>
        minmax_element(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <ForwardRange Rng, class Proj = identity,
        IndirectStrictWeakOrder<projected<iterator_t<Rng>, Proj>> Comp = less<>>
      tagged_pair<tag::min(safe_iterator_t<Rng>),
                  tag::max(safe_iterator_t<Rng>)>
        minmax_element(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2> S2,
        class Proj1 = identity, class Proj2 = identity,
        IndirectStrictWeakOrder<projected<I1, Proj1>, projected<I2, Proj2>> Comp = less<>>
      bool
        lexicographical_compare(I1 first1, S1 last1, I2 first2, S2 last2,
                                Comp comp = Comp{},
                                Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <InputRange Rng1, InputRange Rng2, class Proj1 = identity,
        class Proj2 = identity,
        IndirectStrictWeakOrder<projected<iterator_t<Rng1>, Proj1>,
          projected<iterator_t<Rng2>, Proj2>> Comp = less<>>
      bool
        lexicographical_compare(Rng1&& rng1, Rng2&& rng2, Comp comp = Comp{},
                                Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});

    template <BidirectionalIterator I, Sentinel<I> S, class Comp = less<>,
        class Proj = identity>
      requires Sortable<I, Comp, Proj>
      bool next_permutation(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <BidirectionalRange Rng, class Comp = less<>,
        class Proj = identity>
      requires Sortable<iterator_t<Rng>, Comp, Proj>
      bool
        next_permutation(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    template <BidirectionalIterator I, Sentinel<I> S, class Comp = less<>,
        class Proj = identity>
      requires Sortable<I, Comp, Proj>
      bool prev_permutation(I first, S last, Comp comp = Comp{}, Proj proj = Proj{});

    template <BidirectionalRange Rng, class Comp = less<>,
        class Proj = identity>
      requires Sortable<iterator_t<Rng>, Comp, Proj>
      bool
        prev_permutation(Rng&& rng, Comp comp = Comp{}, Proj proj = Proj{});

    }}}}

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