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A queue has two ends, the top, which is the only position at which the push operation may occur, and the bottom, which is the only position at which the pop operation may occur. A queue may be implemented as circular buffers and linked lists, or by using both the stack pointer and the base pointer.
A standard exercise in algorithm design asks for an implementation of this algorithm that takes linear time in the input size, which is the sum of sizes of all the input sets. [19] This may be solved using a bucket queue of sets in the input family, prioritized by the number of remaining elements that they cover.
The dynamic array approach uses a variant of a dynamic array that can grow from both ends, sometimes called array deques. These array deques have all the properties of a dynamic array, such as constant-time random access , good locality of reference , and inefficient insertion/removal in the middle, with the addition of amortized constant-time ...
A sorting algorithm can also be used to implement a priority queue. Specifically, Thorup says: [ 21 ] We present a general deterministic linear space reduction from priority queues to sorting implying that if we can sort up to n keys in S ( n ) time per key, then there is a priority queue supporting delete and insert in O ( S ( n )) time and ...
One example application of the double-ended priority queue is external sorting. In an external sort, there are more elements than can be held in the computer's memory. The elements to be sorted are initially on a disk and the sorted sequence is to be left on the disk. The external quick sort is implemented using the DEPQ as follows:
The heapsort algorithm can be divided into two phases: heap construction, and heap extraction. The heap is an implicit data structure which takes no space beyond the array of objects to be sorted; the array is interpreted as a complete binary tree where each array element is a node and each node's parent and child links are defined by simple arithmetic on the array indexes.
Array, a sequence of elements of the same type stored contiguously in memory; Record (also called a structure or struct), a collection of fields . Product type (also called a tuple), a record in which the fields are not named
Each array element contains one pointer that is the head of the corresponding linked list. If the array name is "month" then month[11] is a pointer to the list of events scheduled for the 12th month of the year (the vector index starts from 0). The complete calendar thus consists of an array of 12 pointers and a collection of up to 12 linked lists.