11.1.1 - Heaps and Dijkstra's Algorithm
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Practice Questions
Test your understanding with targeted questions
What is the time complexity of inserting an element into a heap?
💡 Hint: Think about how many levels the tree has.
Explain what a min heap is.
💡 Hint: Consider the size relationship between parents and children.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a min heap do?
💡 Hint: Think of how hierarchy is maintained in a tree.
Is Dijkstra's algorithm efficient for finding the shortest path in unweighted graphs?
💡 Hint: Consider when each vertex is equally accessible.
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Challenge Problems
Push your limits with advanced challenges
Implement a function that builds a min heap from a given array and demonstrate extraction of the minimum element.
💡 Hint: Remember to percolate the elements down correctly after extraction.
Design an example graph and apply Dijkstra's algorithm step by step, illustrating the heap updates and distance calculations.
💡 Hint: Track the distances and the vertices as you proceed!
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