![]() Next, we can remove the maximum element from the priority queue. As we know, the root node is the item with the highest priority in a max heap. If we add to the priority queue, we end up with: We notice that is greater than its parent, so we swap them: Then, is still greater than its new parent, so we swap them: Now, we notice that is smaller than its parent, so we stop and reach our priority queue: The following code shows the details of the insertion function: Let’s go through an example to understand the insertion process. This process continues until the new item is placed in the correct position. If it is found greater than its parent node, elements are swapped. At first, we insert the new item at the end of the priority queue. ![]() If we want to add a new node to a binary heap, we need to ensure that our two properties of the heap are maintained after the new node is added. The item at the root of the heap has the highest priority among all elements. We’ll use a binary heap to maintain a max-priority queue. The common operations that we can perform on a priority queue include insertion, deletion, and peek. remove: removes and returns the item in the queue with the highest priority.peek: returns the item in the queue with the highest priority without deleting the node.The main operations on a priority queue include: In this tutorial, from now on, we’ll use priority as the value of items since other information can be easily attached to the queue’s elements. And the lowest priority item, (with the priority of 19), will be removed at the end of the process. So the item with the highest priority in this example is (with the priority of 1) that is removed first. The following example illustrates a priority queue with an ordering imposed on the values from least to the greatest: Here,, etc. Unlike a regular queue, the values in the priority queue are removed based on priority instead of the first-in-first-out (FIFO) rule. Each queue’s item has an additional piece of information, namely priority. A priority queue is a special type of queue.
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