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Copy pathGraphs-2:Prim's Algo
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Graphs-2:Prim's Algo
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import java.util.Scanner;
public class Solution {
private static void prims(int[][] adjacencyMatrix) {
int v = adjacencyMatrix.length;
boolean visited[] = new boolean[v];
int weight[] = new int[v];
int parent[] = new int[v];
weight[0] = 0;
parent[0] = -1;
for(int i = 1; i < v; i++){
weight[i] = Integer.MAX_VALUE;
}
for(int i = 0; i < v; i++){
// Pick vertex with min weight
int minVertex = findMinVertex(weight, visited);
visited[minVertex] = true;
// Explore its unvisited neighbors
for(int j = 0; j < v; j++){
if(adjacencyMatrix[minVertex][j] != 0 && !visited[j]){
if(adjacencyMatrix[minVertex][j] < weight[j]){
weight[j] = adjacencyMatrix[minVertex][j];
parent[j] = minVertex;
}
}
}
}
// Print edges of MST
for(int i = 1; i < v; i++){
if(parent[i] < i){
System.out.println(parent[i] + " "+ i +" "+ weight[i]);
}else{
System.out.println(i + " "+ parent[i] +" "+ weight[i]);
}
}
}
private static int findMinVertex(int[] weight, boolean visited[]) {
int minVertex = -1;
for(int i = 0; i < weight.length; i++){
if(!visited[i] && (minVertex == -1 || weight[i] < weight[minVertex])){
minVertex = i;
}
}
return minVertex;
}
public static void main(String[] args) {
Scanner s = new Scanner(System.in);
int v = s.nextInt();
int e = s.nextInt();
int adjacencyMatrix[][] = new int[v][v];
for(int i = 0; i < e; i++){
int v1 = s.nextInt();
int v2 = s.nextInt();
int weight = s.nextInt();
adjacencyMatrix[v1][v2] = weight;
adjacencyMatrix[v2][v1] = weight;
}
prims(adjacencyMatrix);
}
}