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Find the shortest path from source to all other vertices using Dijikstra's AlgorithmGiven directed graph , find the shortest path from source to all other vertices using Dijikstra's AlgorithmPrint the distance of every vertices from the srcInput:6 91 2 71 3 91 6 142 3 102 4 153 4 113 6 24 5 65 6 95output20 21 11 6 0 9

Question

Find the shortest path from source to all other vertices using Dijikstra's AlgorithmGiven directed graph , find the shortest path from source to all other vertices using Dijikstra's AlgorithmPrint the distance of every vertices from the srcInput:6 91 2 71 3 91 6 142 3 102 4 153 4 113 6 24 5 65 6 95output20 21 11 6 0 9

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Solution

The text you provided seems to be a problem statement for finding the shortest path in a graph using Dijkstra's Algorithm. However, you didn't provide a specific question to answer. If you want to know how to implement Dijkstra's Algorithm, here are the steps:

  1. Create a set sptSet (shortest path tree set) that keeps track of vertices included in the shortest path tree, i.e., whose minimum distance from the source is calculated and finalized. Initially, this set is empty.

  2. Assign a distance value to all vertices in the input graph. Initialize all distance values as INFINITE. Assign distance value as 0 for the source vertex so that it is picked first.

  3. While sptSet doesn’t include all vertices:

    • Pick a vertex u which is not there in sptSet and has a minimum distance value.
    • Include u to sptSet.
    • Update distance value of all adjacent vertices of u. To update the distance values, iterate through all adjacent vertices. For every adjacent vertex v, if the sum of distance value of u (from source) and weight of edge u-v, is less than the distance value of v, then update the distance value of v.
  4. Print the calculated shortest distances.

Please provide more specific details if you need further assistance.

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