Practice Building And Maintaining A Heap (11.4.1) - Heaps and Dijkstra's Algorithm

Practice: Building and Maintaining a Heap

Lesson 11.4.1Heaps and Dijkstra's Algorithm

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10 questions

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3 cards from this section. Quick, good the night before a test.
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4 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the time complexity for inserting an element into a heap?
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Think about the height of the tree.
Question 2.
What is a min-heap?
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Consider how it relates to priority.
3Question 3.
What is the primary purpose of a heap data structure?
- To sort elements
- To manage priority queues
- To store arrays
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Consider what ‘priority’ means.
4Question 4.
True or False: In a min-heap, the root node is always the largest.
- True
- False
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Reflect on the nature of min vs max.
Question 5.
Given a scenario where elements are inserted into a min-heap, describe how to construct the heap step by step. Start with the array [5, 3, 8, 4, 1]. Illustrate each insertion and the resultant heap after each step.
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Think about how parents and children relate in value when inserting.
Question 6.
Imagine you have a min-heap structured as [2, 3, 5, 7, 9] and you want to decrease the value of 5 to 1. Explain the steps required to maintain the integrity of the heap structure after this operation.
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What happens first when you change a value?

6 more questions in this section. Enroll free to practise them all.