Practice Complexity Analysis (11.3) - Heaps and Dijkstra's Algorithm - Design & Analysis of Algorithms

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9 questions

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6 sample questions

Question 1.
What data structure does a heap represent?
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Think about the structure that allows maximum or minimum retrieval efficiently.
Question 2.
What is the time complexity for inserting an element into a heap?
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Consider the height of the tree.
3Question 3.
What is the time complexity of deleting the maximum element from a min-heap?
- O(N)
- O(log N)
- O(1)
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Think about the structure's height.
4Question 4.
Dijkstra's algorithm finds the shortest path using which data structure?
- True
- False
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Recall how we discussed the algorithm's functionality.
Question 5.
Explain how you would implement Dijkstra's algorithm without using a heap. What would be the time complexity?
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Consider the implications of not having logarithmic retrieval.
Question 6.
Describe an application where heaps and their sorting could greatly enhance efficiency.
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Think about systems that require quick access to priorities, like CPU scheduling.

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