Implementing Dijkstra Algorithm
Medium Accuracy: 49.0% Submissions: 44952 Points: 4

Given a weighted, undirected and connected graph of V vertices and E edges, Find the shortest distance of all the vertex's from the source vertex S.
Note: The Graph doesn't contain any negative weight cycle.

Example 1:

Input:

S = 0
Output:
0 9
Explanation:
The source vertex is 0. Hence, the shortest distance
of node 0 is 0 and the shortest distance from node 9
is 9 - 0 = 9.

Example 2:

Input:

S = 2
Output:
4 3 0
Explanation:
For nodes 2 to 0, we can follow the path-
2-1-0. This has a distance of 1+3 = 4,
whereas the path 2-0 has a distance of 6. So,
the Shortest path from 2 to 0 is 4.
The other distances are pretty straight-forward.

 

Your Task:
You don't need to read input or print anything. Your task is to complete the function dijkstra() 
which takes number of vertices V and an adjacency list adj as input parameters and returns a list of integers, where ith integer denotes the shortest distance of the ith node from Source node. Here adj[i] contains a list of lists containing two integers where the first integer j denotes that there is an edge between i and j and second integer w denotes that the weight between edge i and j is w.

 

Expected Time Complexity: O(V2).
Expected Auxiliary Space: O(V2).

 

Constraints:
1
V 1000
0
adj[i][j] 1000
0
S < V

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Implementing Dijkstra Algorithm

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