Code : Prim's Algorithm

Hard

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Problem statement

Given an undirected, connected and weighted graph G(V, E) with V number of vertices (which are numbered from 0 to V-1) and E number of edges.

Find and print the Minimum Spanning Tree (MST) using Prim's algorithm.

For printing MST follow the steps -

1. In one line, print an edge which is part of MST in the format - 
v1 v2 w
where, v1 and v2 are the vertices of the edge which is included in MST and whose weight is w. And v1  <= v2 i.e. print the smaller vertex first while printing an edge.
2. Print V-1 edges in above format in different lines.

Note: Order of different edges doesn't matter.

Detailed explanation ( Input/output format, Notes, Images )

Input Format:

Line 1: Two Integers V and E (separated by space)
Next E lines: Three integers ei, ej and wi, denoting that there exists an edge between vertex ei and vertex ej with weight wi (separated by space)

Output Format:

Print the MST, as described in the task.

Constraints :

2 <= V, E <= 10^5
1 <= Wi <= 10^5
Time Limit: 1 sec

Sample Input 1 :

Sample Output 1 :

0 1 3
1 2 1
0 3 5

Code : Prim's Algorithm

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