1. Floyd Warshall
Never
import java.util.concurrent.ExecutorService; import java.util.concurrent.Executors; import java.util.concurrent.TimeUnit; public class FloydWarshallParallel { private static final int INF = Integer.MAX_VALUE / 2; // To avoid integer overflow public static void main(String[] args) throws InterruptedException { // Example graph represented as an adjacency matrix int[][] graph = { {0, 5, INF, 10}, {INF, 0, 3, INF}, {INF, INF, 0, 1}, {INF, INF, INF, 0} }; floydWarshallParallel(graph); printGraph(graph); } private static void floydWarshallParallel(int[][] dist) throws InterruptedException { int n = dist.length; ExecutorService executor = Executors.newFixedThreadPool(Runtime.getRuntime().availableProcessors()); for (int k = 0; k < n; k++) { final int finalK = k; for (int i = 0; i < n; i++) { final int finalI = i; executor.submit(() -> { for (int j = 0; j < n; j++) { if (dist[finalI][finalK] != INF && dist[finalK][j] != INF) { dist[finalI][j] = Math.min(dist[finalI][j], dist[finalI][finalK] + dist[finalK][j]); } } }); } executor.awaitTermination(1, TimeUnit.SECONDS); } executor.shutdown(); executor.awaitTermination(Long.MAX_VALUE, TimeUnit.NANOSECONDS); } private static void printGraph(int[][] graph) { int n = graph.length; System.out.println("Shortest distances between every pair of vertices:"); for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { if (graph[i][j] == INF) System.out.print("INF "); else System.out.print(graph[i][j] + " "); } System.out.println(); } } }
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