11.1 - Design and Analysis of Algorithms
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Practice Questions
Test your understanding with targeted questions
What is a heap?
💡 Hint: Think about how trees can have children and parent nodes.
What is the time complexity for insertion in a heap?
💡 Hint: Consider how many levels the tree has.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the time complexity for deleting an element from a heap?
💡 Hint: Think about how levels of a tree work.
True or False: Increasing a value in a min-heap may require moving the updated value downwards.
💡 Hint: How does value comparison work in heaps?
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Challenge Problems
Push your limits with advanced challenges
Given the following input values: 15, 10, 20, 30, 5, illustrate how to perform heap operations to maintain a min-heap.
💡 Hint: Start with the first value as the root.
Implement a step-by-step demonstration of Dijkstra's algorithm using the following graph: A (0) -> B (4), A (0) -> C (2), B (4) -> D (5), C (2) -> D (8) and show how the heap is updated.
💡 Hint: Keep track of reported distances in a table as you iterate over vertices.
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Reference links
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