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A priority queue is a queue where a numeric priority is associated with each element. Access to

elements that have been inserted into the queue is limited to inspection and removal of the elements

with smallest and largest priority only. A priority queue may have multiple items that are of equal

priority.

Give the ADT specification for a bounded priority queue using the specification method described

in Topic $7$ of the lecture notes. By $$bounded$,$ it is meant that the priority queue has a maximum

capacity specified when it is created, and it can never contain more than that number of items.

Your specification must specify the following operations:

newPriorityQueue: make a new queue

insert: inserts an element with a certain priority

isEmpty: test if the queue is empty

isFull: test if the queue is full

maxItem: obtain the item in the queue with the highest priority

minItem: obtain the item in the queue with the lowest priority

deleteMax: remove from the queue the item with the highest priority

deleteAllMax: remove from the queue all items that are tied for the highest priority

deleteMin: remove from the queue the item with the lowest priority

frequency: obtain the number of times a certain item occurs in the queue $($with any priority