C/C++ | STL | 大顶堆 | 小顶堆 | std::priority_queue

优先队列 priority_queue

优先队列是容器适配器的一种类型,特别设计为它的第一个元素总是它包含的元素中最大的元素,根据一些严格的弱顺序标准。

这个上下文类似于堆,在堆中可以随时插入元素,并且只能检索最大堆元素(优先级队列顶部的元素)。

优先级队列被实现为容器适配器,这些适配器类使用特定容器类的封装对象作为其底层容器,提供一组特定的成员函数来访问其元素。元素从特定容器的“后面”弹出,该容器称为优先级队列的顶部。

底层容器可以是任何标准容器类模板,也可以是其他特定设计的容器类。容器应通过随机访问迭代器访问,并支持以下操作:

  1. empty() 如果优先队列为空,则返回真
  2. pop() 删除第一个元素
  3. push() 加入一个元素
  4. size() 返回优先队列中拥有的元素的个数
  5. top() 返回优先队列中有最高优先级的元素

标准容器类vector和deque满足这些需求。默认情况下,如果没有为特定的priority_queue类实例化指定容器类,则使用标准容器向量。

任何时候都需要支持随机访问迭代器,以便在内部保持堆结构。这是由容器适配器通过在需要时自动调用算法函数make_heap、push_heap和pop_heap来自动完成的。

大顶堆:


    priority_queue<int> q;
    for(</
In file included from /usr/include/c++/11/bits/stl_algobase.h:71, from /usr/include/c++/11/bits/char_traits.h:39, from /usr/include/c++/11/ios:40, from /usr/include/c++/11/ostream:38, from /usr/include/c++/11/iostream:39, from Main.cc:1: /usr/include/c++/11/bits/predefined_ops.h: In instantiation of ‘bool __gnu_cxx::__ops::_Iter_comp_val<_Compare>::operator()(_Iterator, _Value&) [with _Iterator = __gnu_cxx::__normal_iterator<HuffmanNode**, std::vector<HuffmanNode*> >; _Value = HuffmanNode*; _Compare = std::greater<HuffmanNode>]’: /usr/include/c++/11/bits/stl_heap.h:139:48: required from ‘void std::__push_heap(_RandomAccessIterator, _Distance, _Distance, _Tp, _Compare&) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator<HuffmanNode**, std::vector<HuffmanNode*> >; _Distance = long int; _Tp = HuffmanNode*; _Compare = __gnu_cxx::__ops::_Iter_comp_val<std::greater<HuffmanNode> >]’ /usr/include/c++/11/bits/stl_heap.h:215:23: required from ‘void std::push_heap(_RandomAccessIterator, _RandomAccessIterator, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator<HuffmanNode**, std::vector<HuffmanNode*> >; _Compare = std::greater<HuffmanNode>]’ /usr/include/c++/11/bits/stl_queue.h:651:16: required from ‘void std::priority_queue<_Tp, _Sequence, _Compare>::push(std::priority_queue<_Tp, _Sequence, _Compare>::value_type&&) [with _Tp = HuffmanNode*; _Sequence = std::vector<HuffmanNode*>; _Compare = std::greater<HuffmanNode>; std::priority_queue<_Tp, _Sequence, _Compare>::value_type = HuffmanNode*]’ Main.cc:45:21: required from here /usr/include/c++/11/bits/predefined_ops.h:196:30: error: no match for call to ‘(std::greater<HuffmanNode>) (HuffmanNode*&, HuffmanNode*&)’ 196 | { return bool(_M_comp(*__it, __val)); } | ~~~~~~~^~~~~~~~~~~~~~ In file included from /usr/include/c++/11/string:48, from /usr/include/c++/11/bits/locale_classes.h:40, from /usr/include/c++/11/bits/ios_base.h:41, from /usr/include/c++/11/ios:42, from /usr/include/c++/11/ostream:38, from /usr/include/c++/11/iostream:39, from Main.cc:1: /usr/include/c++/11/bits/stl_function.h:389:7: note: candidate: ‘constexpr bool std::greater<_Tp>::operator()(const _Tp&, const _Tp&) const [with _Tp = HuffmanNode]’ 389 | operator()(const _Tp& __x, const _Tp& __y) const | ^~~~~~~~ /usr/include/c++/11/bits/stl_function.h:389:29: note: no known conversion for argument 1 from ‘HuffmanNode*’ to ‘const HuffmanNode&’ 389 | operator()(const _Tp& __x, const _Tp& __y) const | ~~~~~~~~~~~^~~ In file included from /usr/include/c++/11/bits/stl_algobase.h:71, from /usr/include/c++/11/bits/char_traits.h:39, from /usr/include/c++/11/ios:40, from /usr/include/c++/11/ostream:38, from /usr/include/c++/11/iostream:39, from Main.cc:1: /usr/include/c++/11/bits/predefined_ops.h: In instantiation of ‘constexpr bool __gnu_cxx::__ops::_Iter_comp_iter<_Compare>::operator()(_Iterator1, _Iterator2) [with _Iterator1 = __gnu_cxx::__normal_iterator<HuffmanNode**, std::vector<HuffmanNode*> >; _Iterator2 = __gnu_cxx::__normal_iterator<HuffmanNode**, std::vector<HuffmanNode*> >; _Compare = std::greater<HuffmanNode>]’: /usr/include/c++/11/bits/stl_heap.h:231:14: required from ‘void std::__adjust_heap(_RandomAccessIterator, _Distance, _Distance, _Tp, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator<HuffmanNode**, std::vector<HuffmanNode*> >; _Distance = long int; _Tp = HuffmanNode*; _Compare = __gnu_cxx::__ops::_Iter_comp_iter<std::greater<HuffmanNode> >]’ /usr/include/c++/11/bits/stl_heap.h:263:25: required from ‘void std::__pop_heap(_RandomAccessIterator, _RandomAccessIterator, _RandomAccessIterator, _Compare&) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator<HuffmanNode**, std::vector<HuffmanNode*> >; _Compare = __gnu_cxx::__ops::_Iter_comp_iter<std::greater<HuffmanNode> >]’ /usr/include/c++/11/bits/stl_heap.h:332:19: required from ‘void std::pop_heap(_RandomAccessIterator, _RandomAccessIterator, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator<HuffmanNode**, std::vector<HuffmanNode*> >; _Compare = std::greater<HuffmanNode>]’ /usr/include/c++/11/bits/stl_queue.h:678:15: required from ‘void std::priority_queue<_Tp, _Sequence, _Compare>::pop() [with _Tp = HuffmanNode*; _Sequence = std::vector<HuffmanNode*>; _Compare = std::greater<HuffmanNode>]’ Main.cc:50:55: required from here /usr/include/c++/11/bits/predefined_ops.h:158:30: error: no match for call to ‘(std::greater<HuffmanNode>) (HuffmanNode*&, HuffmanNode*&)’ 158 | { return bool(_M_comp(*__it1, *__it2)); } | ~~~~~~~^~~~~~~~~~~~~~~~ In file included from /usr/include/c++/11/string:48, from /usr/include/c++/11/bits/locale_classes.h:40, from /usr/include/c++/11/bits/ios_base.h:41, from /usr/include/c++/11/ios:42, from /usr/include/c++/11/ostream:38, from /usr/include/c++/11/iostream:39, from Main.cc:1: /usr/include/c++/11/bits/stl_function.h:389:7: note: candidate: ‘constexpr bool std::greater<_Tp>::operator()(const _Tp&, const _Tp&) const [with _Tp = HuffmanNode]’ 389 | operator()(const _Tp& __x, const _Tp& __y) const | ^~~~~~~~ /usr/include/c++/11/bits/stl_function.h:389:29: note: no known conversion for argument 1 from ‘HuffmanNode*’ to ‘const HuffmanNode&’ 389 | operator()(const _Tp& __x, const _Tp& __y) const | ~~~~~~~~~~~^~~
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