Practice Heap Operations Summary (10.5) - Height of the Heap - Design & Analysis of Algorithms

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10 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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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 a max-heap?
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Think about the root node in a max-heap.
Question 2.
What is the time complexity of inserting an element in a heap?
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Consider the height of the heap.
3Question 3.
What is the time complexity of both insertion and deletion in a max-heap?
- O(N)
- O(log N)
- O(N log N)
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Think about the height of a binary tree as you determine time complexity.
4Question 4.
A min-heap requires that every parent node be larger than its children.
- True
- False
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Consider the definition of a min-heap.
Question 5.
Explain how the time complexity of the heapifying process leads to an overall O(N) time complexity when constructing a heap from an unordered array.
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Focus on how node counts decrease while fixing the heap properties.
Question 6.
Take an array of numbers and transform it into a max-heap. Outline each step you take in the process.
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Recall the definition of a max-heap while performing swaps.

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