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A priority queue contains three jobs: Job A with priority 2, Job B with priority 5, and Job C with priority 1. The system removes one job and then adds Job D with priority 4. State the order in which the next three removals should occur, assuming a larger number means a higher priority. Explain your answer and include the relevant queue operations.

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At a glance

Question

Type

practice

Style

Topic

Queues

Exam-style question

Try this first

A priority queue contains three jobs: Job A with priority 2, Job B with priority 5, and Job C with priority 1. The system removes one job and then adds Job D with priority 4. State the order in which the next three removals should occur, assuming a larger number means a higher priority. Explain your answer and include the relevant queue operations.

Model answer

What a good answer should say

  • The first remove operation removes Job B because it has the highest priority, 5.
  • Job D is then added with priority 4.
  • The next remove operation removes Job D because its priority is higher than Job A's priority 2 and Job C's priority 1.
  • The final remove operation removes Job A, followed by Job C if another removal is made.

Explanation

Why this works

A priority queue orders removal by priority rather than by the order in which items were added. The empty and full tests are still required to make removal and addition safe.

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