The priority queue is an abstract data type that contains the following methods: insert(item, prioritxValue) Inserts item into the priority queue with priority value priority Value. peek() Returns (but does not remove) the item with highest priority in the priority queue. delete() Removes and returns the item with highest priority in the priority queue. changePriority(item, newPriority) Changes the priority of an item to a new priority value. Write down the algorithm and implement a priority queue (both min and max) using a heap tree-based data structure (both min and max). Determine the runtime for each of the following: 1. In the worst case, describe the runtime to insert an item into the priority queue. 2. In the worst case, describe the runtime to remove the element with highest priority. 3. In the worst case, describe the runtime to change the priority of an element. Show an example for each.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter18: Stacks And Queues
Section: Chapter Questions
Problem 16PE: The implementation of a queue in an array, as given in this chapter, uses the variable count to...
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The priority queue is an abstract data type that contains the following methods:
insert(item, priority Value)
Inserts item into the priority queue with priority value priority.Value.
peek()
Returns (but does not remove) the item with highest priority in the priority queue.
delete()
Removes and returns the item with highest priority in the priority queue.
changePriority(item, newPriority)
Changes the priority of an item to a new priority value.
Write down the algorithm and implement a priority queue (both min and max) using a heap tree-based
data structure (both min and max). Determine the runtime for each of the following:
1. In the worst case, describe the runtime to insert an item into the priority queue.
2. In the worst case, describe the runtime to remove the element with highest priority.
3. In the worst case, describe the runtime to change the priority of an element.
Show an example for each.
Transcribed Image Text:The priority queue is an abstract data type that contains the following methods: insert(item, priority Value) Inserts item into the priority queue with priority value priority.Value. peek() Returns (but does not remove) the item with highest priority in the priority queue. delete() Removes and returns the item with highest priority in the priority queue. changePriority(item, newPriority) Changes the priority of an item to a new priority value. Write down the algorithm and implement a priority queue (both min and max) using a heap tree-based data structure (both min and max). Determine the runtime for each of the following: 1. In the worst case, describe the runtime to insert an item into the priority queue. 2. In the worst case, describe the runtime to remove the element with highest priority. 3. In the worst case, describe the runtime to change the priority of an element. Show an example for each.
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