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+[push.heap]
+
+# 26 Algorithms library [[algorithms]](./#algorithms)
+
+## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#push.heap)
+
+### 26.8.8 Heap operations [[alg.heap.operations]](alg.heap.operations#push.heap)
+
+#### 26.8.8.2 push_heap [push.heap]
+
+[ð](#lib:push_heap)
+
+`template<class RandomAccessIterator>
+  constexpr void push_heap(RandomAccessIterator first, RandomAccessIterator last);
+
+template<class RandomAccessIterator, class Compare>
+  constexpr void push_heap(RandomAccessIterator first, RandomAccessIterator last,
+                           Compare comp);
+
+template<[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13 Concept random_access_iterator [iterator.concept.random.access]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7 Concept sentinel_for [iterator.concept.sentinel]")<I> S, class Comp = ranges::less,
+         class Proj = identity>
+  requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8 Concept sortable [alg.req.sortable]")<I, Comp, Proj>
+  constexpr I
+    ranges::push_heap(I first, S last, Comp comp = {}, Proj proj = {});
+template<[random_access_range](range.refinements#concept:random_access_range "25.4.6 Other range refinements [range.refinements]") R, class Comp = ranges::less, class Proj = identity>
+  requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8 Concept sortable [alg.req.sortable]")<iterator_t<R>, Comp, Proj>
+  constexpr borrowed_iterator_t<R>
+    ranges::push_heap(R&& r, Comp comp = {}, Proj proj = {});
+`
+
+[1](#1)
+
+[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10924)
+
+Let comp be less{} and proj be identity{} for the overloads with no parameters by those names[.](#1.sentence-1)
+
+[2](#2)
+
+[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10929)
+
+*Preconditions*: The range [first, last - 1)
+is a valid heap with respect to comp and proj[.](#2.sentence-1)
+
+For the overloads in namespace std,RandomAccessIterator meets
+the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3 Swappable requirements [swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3 Swappable requirements")) and
+the type of *first meets
+the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2 Template argument requirements [utility.arg.requirements]") requirements (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) and
+the [*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2 Template argument requirements [utility.arg.requirements]") requirements (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements"))[.](#2.sentence-2)
+
+[3](#3)
+
+[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10940)
+
+*Effects*: Places the value in the location last - 1 into the resulting heap [first, last)[.](#3.sentence-1)
+
+[4](#4)
+
+[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10945)
+
+*Returns*: last for the overloads in namespace ranges[.](#4.sentence-1)
+
+[5](#5)
+
+[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10949)
+
+*Complexity*: At most log(last - first) comparisons and twice as many projections[.](#5.sentence-1)