2 Then we create a distance array that keeps track of the shortest path between nodes. 3 Now we Initialize the path of each node to itself diagonal to zero.
4 Next step is to loop to the edges of the graph and giving the original weight of the edge between two nodes and filling the array table with the corresponding way. 5 The main element of this algorithm is the nested for loop and the if condition. Working of nesting for loop. For each vertex at index k it compares the distance from all sources to all destinations with the distance from these sources to k and then from k to the destinations. So it checks for every pair of vertices whether it is shorter to pass through k than to go directly and changes the weight of the path to the minimum of the two distances. Working of if condition case 1 if the condition is not true, no changes would be made in the value of that index of the array case. 2 if the condition is true. A new shortest path is found so the value of that index of the array would be updated. 6 After the last iteration, the resultant array table of shortest path between all pairs of vertices has formed.
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