11.4.1 - Building and Maintaining a Heap
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Practice Questions
Test your understanding with targeted questions
What is the time complexity for inserting an element into a heap?
💡 Hint: Think about the height of the tree.
What is a min-heap?
💡 Hint: Consider how it relates to priority.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary purpose of a heap data structure?
💡 Hint: Consider what ‘priority’ means.
True or False: In a min-heap, the root node is always the largest.
💡 Hint: Reflect on the nature of min vs max.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given a scenario where elements are inserted into a min-heap, describe how to construct the heap step by step. Start with the array [5, 3, 8, 4, 1]. Illustrate each insertion and the resultant heap after each step.
💡 Hint: Think about how parents and children relate in value when inserting.
Imagine you have a min-heap structured as [2, 3, 5, 7, 9] and you want to decrease the value of 5 to 1. Explain the steps required to maintain the integrity of the heap structure after this operation.
💡 Hint: What happens first when you change a value?
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