prim
unknown
plain_text
3 years ago
3.9 kB
7
Indexable
import java.io.*;
import java.util.*;
import java.util.stream.*;
import static java.util.stream.Collectors.toList;
class Pair implements Comparable<Pair> {
public int vertex;
public int weight;
Pair(int vertex, int weight) {
this.vertex = vertex;
this.weight = weight;
}
@Override
public int compareTo(Pair b) {
return (b.weight < this.weight) ? 1 : -1;
}
}
class Graph {
private List<List<Pair>> map = new ArrayList<>();
public void addVertices(Integer n) {
for (int i = 0; i < n; i++) {
map.add(new ArrayList<Pair>());
}
}
public void addEdge(Integer v1, Integer v2, int weight) {
map.get(v1).add(new Pair(v2, weight));
map.get(v2).add(new Pair(v1, weight));
}
public int prim(int v, int n) {
PriorityQueue<Pair> queue = new PriorityQueue<>();
boolean[] inMST = new boolean[n];
int[] keys = new int[n]; // weights of vertices in MST
int total = 0; // store the weight of MST
// Set keys to infinity
for (int i = 0; i < n; i++) {
keys[i] = Integer.MAX_VALUE;
}
queue.add(new Pair(v, 0));
keys[v] = 0;
while (!queue.isEmpty()) {
Pair curVertex = queue.poll();
// Skip added vertices
if (inMST[curVertex.vertex]) {
continue;
}
// Add current vertex to the MST and update the total weight
inMST[curVertex.vertex] = true;
total += curVertex.weight;
// Loop through the adjacent vertices with the current vertex
for (Pair adjVertex : map.get(curVertex.vertex)) {
// If the adj vertex is not in the MST and its weight < key
// 1. Set key = weight
// 2. Add the adj vertex to queue
if (!inMST[adjVertex.vertex]
&& adjVertex.weight < keys[adjVertex.vertex]) {
keys[adjVertex.vertex] = adjVertex.weight;
queue.add(adjVertex);
}
}
}
return total;
}
}
class Result {
public static int prims(int n, List<List<Integer>> edges, int s) {
Graph graph = new Graph();
graph.addVertices(n);
for (List<Integer> edge: edges) {
graph.addEdge(edge.get(0) - 1, edge.get(1) - 1, edge.get(2));
}
return graph.prim(s - 1, n);
}
}
public class Solution {
public static void main(String[] args) throws IOException {
BufferedReader bufferedReader = new BufferedReader(new InputStreamReader(System.in));
BufferedWriter bufferedWriter = new BufferedWriter(new FileWriter(System.getenv("OUTPUT_PATH")));
String[] firstMultipleInput = bufferedReader.readLine().replaceAll("\\s+$", "").split(" ");
int n = Integer.parseInt(firstMultipleInput[0]);
int m = Integer.parseInt(firstMultipleInput[1]);
List<List<Integer>> edges = new ArrayList<>();
IntStream.range(0, m).forEach(i -> {
try {
edges.add(
Stream.of(bufferedReader.readLine().replaceAll("\\s+$", "").split(" "))
.map(Integer::parseInt)
.collect(toList()));
} catch (IOException ex) {
throw new RuntimeException(ex);
}
});
int start = Integer.parseInt(bufferedReader.readLine().trim());
int result = Result.prims(n, edges, start);
bufferedWriter.write(String.valueOf(result));
bufferedWriter.newLine();
bufferedReader.close();
bufferedWriter.close();
}
}
Editor is loading...