10.4.2 - Optimized Heap Construction
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Practice Questions
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Define what a max heap is.
💡 Hint: Think about the order of elements in a tree.
What operation is performed to maintain heap order when inserting a new element?
💡 Hint: Consider how you would move an element upwards in the heap.
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Interactive Quizzes
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In a max heap, where is the maximum element located?
💡 Hint: If you think about the structure of heaps, where does the largest value naturally position itself?
The time complexity of inserting an element into a heap is?
💡 Hint: Consider the height of the structure you're dealing with.
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Challenge Problems
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Construct a max heap from the list [5, 2, 9, 1, 6, 8, 3]. Detail each step.
💡 Hint: Start from the last non-leaf node and work your way up to build a proper structure.
Explain why bottom-up heapification is more efficient than inserting elements one by one.
💡 Hint: Which process reduces the number of required swaps?
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