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Priority Queue Implementation:
Write your own implementation of a priority queue of integers: a priority queue maintains its elements sorted. The operations that you need to provide are inserting an integer, removing an integer, checking if a given integer is already contained in the queue. Duplicate elements are permitted. Do not use any of the predefined collections from the Java libraries.
Provide a test program that inserts random values into two priority queues (one instance of your implementation, and one instance of the java.util.PriorityQueue<Integer>). Measure the runtime performance for 10000, 20000, ... up to 100000 insertions.
Deliverables are your class implementation and your test program, and a document describing your design and your results (no more than 2 pages).
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