Dijkstra’s shortest path algorithm

Solution to the actual single source shortest path issue in graph theory.
Each directed as well as undirected graphs.
All edges should have nonnegative weights.
Graph should be linked.

Pseudocode:

(distance to source vertex is zero)

(set all other distance to infinity)
(S,the set of visited vertices is initially empty)
(Q,the queue initially contain all vertices)
(while the queue is not empty)
(select the element of Q with the min.distance)
(add u to list of visited vertices)

(if new shortest path found)
(set new value of shortest path)
(if desired,add traceback code)

Output of Dijkstra’s Algorithm:

Original algorithm outputs value associated with shortest path not necessarily the particular path itself,

With slight change we could receive the path.

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⯈Dijkstra’s shortest path algorithm Sample Solution