Priority Queues A priority queue is a data structure that allows you to store items in order of their priority. Items are inserted into the queue with a pri...
Priority Queues
A priority queue is a data structure that allows you to store items in order of their priority. Items are inserted into the queue with a priority, which is typically determined by their value or some other attribute. The items are then retrieved in order of their priority, with the highest-priority items being retrieved first.
Binary Heaps
Binary heaps are a specific type of priority queue that uses binary trees to store its data. Binary heaps are implemented using a heap data structure, which is a complete binary tree. The root node of the heap represents the minimum item in the queue, and each child node represents a greater item than its parent.
Example
Imagine a queue of people waiting to be served at a restaurant. The people are ordered by their arrival time, with the newest people being served first. In a binary heap, the root node would represent the newest person in the queue, and each child node would represent a person who arrived after the root node. The left child of a node represents a person who arrived earlier than the node, and the right child represents a person who arrived later.
Time Complexity
The time complexity of operations on a binary heap priority queue is O(log n), where n is the number of items in the queue. This is because binary heaps can be manipulated using binary tree operations, which are logarithmic in time