Practice Heaps And Dijkstra's Algorithm (11.1.1) - Heaps and Dijkstra's Algorithm

Practice: Heaps and Dijkstra's Algorithm

Lesson 11.1.1Heaps and Dijkstra's Algorithm

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8 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the time complexity of inserting an element into a heap?
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Think about how many levels the tree has.
Question 2.
Explain what a min heap is.
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Consider the size relationship between parents and children.
3Question 3.
What does a min heap do?
- Ensures parents are larger than children
- Ensures parents are smaller than children
- Does not impose any structure
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Think of how hierarchy is maintained in a tree.
4Question 4.
Is Dijkstra's algorithm efficient for finding the shortest path in unweighted graphs?
- True
- False
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Consider when each vertex is equally accessible.
Question 5.
Implement a function that builds a min heap from a given array and demonstrate extraction of the minimum element.
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Remember to percolate the elements down correctly after extraction.
Question 6.
Design an example graph and apply Dijkstra's algorithm step by step, illustrating the heap updates and distance calculations.
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Track the distances and the vertices as you proceed!

4 more questions in this section. Enroll free to practise them all.