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What is the role of the 'visited' set in Dijkstra's algorithm?

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Question: What is the role of the \'visited\' set in Dijkstra\'s algorithm?

Options:

  1. To keep track of the nodes that have been processed
  2. To store the shortest path distances
  3. To maintain the priority queue
  4. To count the number of edges

Correct Answer: To keep track of the nodes that have been processed

Solution:

The \'visited\' set in Dijkstra\'s algorithm keeps track of the nodes that have already been processed to avoid reprocessing them.

What is the role of the 'visited' set in Dijkstra's algorithm?

Practice Questions

Q1
What is the role of the 'visited' set in Dijkstra's algorithm?
  1. To keep track of the nodes that have been processed
  2. To store the shortest path distances
  3. To maintain the priority queue
  4. To count the number of edges

Questions & Step-by-Step Solutions

What is the role of the 'visited' set in Dijkstra's algorithm?
  • Step 1: Understand that Dijkstra's algorithm is used to find the shortest path in a graph.
  • Step 2: Know that a graph consists of nodes (or vertices) and edges (connections between nodes).
  • Step 3: When Dijkstra's algorithm starts, it needs to explore nodes to find the shortest path.
  • Step 4: The 'visited' set is a collection that keeps track of which nodes have already been explored.
  • Step 5: When a node is processed, it is added to the 'visited' set.
  • Step 6: If a node is in the 'visited' set, it means it has already been processed, so the algorithm skips it.
  • Step 7: This helps the algorithm run more efficiently by not reprocessing nodes.
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