10.2.2 - Restoring Heap Property
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Practice Questions
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What is the maximum element in a max heap?
💡 Hint: Where does the largest value always sit in a max heap?
What do we call the process of moving a node down to restore the heap?
💡 Hint: Think about what term describes going downward in the structure.
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Interactive Quizzes
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Where is the maximum value located in a max heap?
💡 Hint: Consider which node is at the top of the heap.
True or False: The height of a heap is linear with respect to the number of elements.
💡 Hint: Reflect on the relationship between a complete tree structure and its height.
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Challenge Problems
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Given a max heap with elements [20, 15, 10, 8, 7, 3], describe the step-by-step process of removing the maximum and restoring the heap.
💡 Hint: Take each child comparison step and consider swapping based on their values.
Construct a max heap from the following unsorted array: [5, 3, 8, 4, 1, 10]. Use bottom-up heapification to describe your steps.
💡 Hint: Look at when the last non-leaf node starts fixing nodes above and the final height adjustments to maintain the structure.
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