Practice Types Of Heaps (10.5.2) - Height of the Heap - Design & Analysis of Algorithms - Vol 2

Practice: Types of Heaps

Lesson 10.5.2Height of the Heap

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10 questions

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6 sample questions

Question 1.
Describe the main difference between max heaps and min heaps.
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Think about the relationship between parent and child nodes.
Question 2.
What time complexity does inserting an element in a heap have?
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Consider the height of the heap and how far you might need to move elements.
3Question 3.
In a max heap, which of the following statements is true?
- The largest element is always the leaf.
- The largest element is always the root.
- The largest element can be found anywhere.
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Think about the structure of the heap.
4Question 4.
True or False: In a min heap, the children of a node can exceed the parent value.
- True
- False
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Consider the definition of a min heap.
Question 5.
Construct a max heap from the following array: [3, 9, 2, 15, 5, 11]. Illustrate the process.
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Begin at the first non-leaf node, observe each parent-child relationship.
Question 6.
Given a binary tree, how do you convert it to a min heap while preserving the tree's structure? Provide a step-by-step algorithm.
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Think about how to organize the values layer by layer similar to level order traversal.

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