Dijkstra's Algorithm: Path Reconstruction
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Questions and Answers

What is the purpose of the path.unshift(current + 1) statement in the given code?

  • To convert the current node index to a string.
  • To eliminate the last element of the path array.
  • To prepend the current node's index to the path array. (correct)
  • To add the current node to the end of the path array.

    • What would happen if you replaced previous[current] with next[current] in the while loop?

  • It would still correctly reconstruct the path.
  • It would cause an error due to an undefined variable.
  • It would access the next node instead of the previous one. (correct)
  • It would lead to an infinite loop.

    • In the context of this code, what does end represent?

  • The start node of the path.
  • A variable managing the total number of iterations.
  • A constant that defines the maximum number of nodes.
  • The index of the final node in the path. (correct)

    • What is the significance of the return path.join('-'); statement in the code?

    <p>It formats the path array as a single string separated by dashes.</p> Signup and view all the answers

    What is the initial value of current set to in the path reconstruction process?

    <p>The index of the end node.</p> Signup and view all the answers

    Study Notes

    Reconstructing the Path

    • The code snippet reconstructs the shortest path found using Dijkstra's algorithm.
    • The path array will store the nodes in the path.
    • current is initialized to the end node.
    • It iterates through the nodes in reverse order using a while loop until it reaches the starting node.
    • In each iteration, the current node's index is added to the beginning of the path array using unshift.
    • The previous array stores the predecessor of each node in the shortest path.
    • The current node is then set to its predecessor from the previous array.
    • The code then joins the nodes in the path array using a - delimiter to form the final path string.
    • This functionality allows the code to determine and display the shortest path between two nodes in a graph based on Dijkstra's algorithm.

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    Description

    This quiz covers the code implementation for reconstructing the shortest path using Dijkstra's algorithm. It discusses the usage of arrays like path and previous to backtrack from the end node to the start node. Test your understanding of graph theory and how pathfinding algorithms operate.

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