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Deque is sometimes written dequeue, but this use is generally deprecated in technical literature or technical writing because dequeue is also a verb meaning "to remove from a queue". Nevertheless, several libraries and some writers, such as Aho, Hopcroft, and Ullman in their textbook Data Structures and Algorithms, spell it dequeue.
For example, Perl and Ruby allow pushing and popping an array from both ends, so one can use push and shift functions to enqueue and dequeue a list (or, in reverse, one can use unshift and pop), [2] although in some cases these operations are not efficient.
Behavior when the collection is empty varies – most often this yields an underflow error, identically to a pop on an empty collection, but some implementations provide a function which instead simply returns (without error), essentially implementing if isempty then return, else peek. This behavior can be axiomatized in various ways.
is_empty: check whether the queue has no elements. insert_with_priority: add an element to the queue with an associated priority. pull_highest_priority_element: remove the element from the queue that has the highest priority, and return it. This is also known as "pop_element(Off)", "get_maximum_element" or "get_front(most)_element".
It consists of an array A of container data structures; in most sources these containers are doubly linked lists but they could alternatively be dynamic arrays [3] or dynamic sets. The container in the p th array cell A[p] stores the collection of elements whose priority is p. A bucket queue can handle the following operations:
Container classes are expected to implement CRUD-like methods to do the following: create an empty container (constructor); insert objects into the container; delete objects from the container; delete all the objects in the container (clear); access the objects in the container; access the number of objects in the container (count).
New(Q): Initializes a new empty queap. Initialize an empty doubly linked list L and 2–4 tree T. Set k and n to zero. Insert(Q, x): Add the element x to queap Q. Insert the element x in list L. Set the bit in element x to one to demonstrate that the element is in the list L. Update the minL pointer if x is the smallest element in the list ...
Here is one example for inserting an element to a Min-Max Heap. Say we have the following min-max heap and want to insert a new node with value 6. Initially, node 6 is inserted as a right child of the node 11. 6 is less than 11, therefore it is less than all the nodes on the max levels (41), and we need to check only the min levels (8 and 11).