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4 cards from this section. Quick, good the night before a test.
What is the main property of a max heap?
Think about how the largest value is organized in the tree.
How does the time complexity of insertion in a heap compare to a simple list?
Consider how the elements are arranged in a list versus a heap.
In a max heap, every parent node is less than or equal to its children.
Recall the definition of a max heap from our discussion.
What is the time complexity for deleting the maximum node in a max heap?
Think about the height of the heap.
Given the array [1, 3, 5, 7, 9, 2, 4, 6, 8], construct a max heap using both the naive insertion method and the bottom-up method. Compare the steps taken.
Keep track of the number of swaps and the structure at each step.
Explain why it’s more efficient to use a bottom-up heapifying approach rather than naive construction. Provide an example to illustrate your reason.
Focus on how many nodes are involved at different levels and how many swaps are really done.
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