diff --git a/src/main/java/com/thealgorithms/others/Dijkstra.java b/src/main/java/com/thealgorithms/others/Dijkstra.java deleted file mode 100644 index a379100a2f3b..000000000000 --- a/src/main/java/com/thealgorithms/others/Dijkstra.java +++ /dev/null @@ -1,248 +0,0 @@ -package com.thealgorithms.others; - -import java.util.HashMap; -import java.util.Map; -import java.util.NavigableSet; -import java.util.TreeSet; -/** - * Dijkstra's algorithm,is a graph search algorithm that solves the - * single-source shortest path problem for a graph with nonnegative edge path - * costs, producing a shortest path tree. - * - *

- * NOTE: The inputs to Dijkstra's algorithm are a directed and weighted graph - * consisting of 2 or more nodes, generally represented by an adjacency matrix - * or list, and a start node. - * - *

- * Original source of code: - * https://rosettacode.org/wiki/Dijkstra%27s_algorithm#Java Also most of the - * comments are from RosettaCode. - */ -public final class Dijkstra { - private Dijkstra() { - } - - private static final Graph.Edge[] GRAPH = { - // Distance from node "a" to node "b" is 7. - // In the current Graph there is no way to move the other way (e,g, from "b" to "a"), - // a new edge would be needed for that - new Graph.Edge("a", "b", 7), - new Graph.Edge("a", "c", 9), - new Graph.Edge("a", "f", 14), - new Graph.Edge("b", "c", 10), - new Graph.Edge("b", "d", 15), - new Graph.Edge("c", "d", 11), - new Graph.Edge("c", "f", 2), - new Graph.Edge("d", "e", 6), - new Graph.Edge("e", "f", 9), - }; - private static final String START = "a"; - private static final String END = "e"; - - /** - * main function Will run the code with "GRAPH" that was defined above. - */ - public static void main(String[] args) { - Graph g = new Graph(GRAPH); - g.dijkstra(START); - g.printPath(END); - // g.printAllPaths(); - } -} - -class Graph { - - // mapping of vertex names to Vertex objects, built from a set of Edges - - private final Map graph; - - /** - * One edge of the graph (only used by Graph constructor) - */ - public static class Edge { - - public final String v1; - public final String v2; - public final int dist; - - Edge(String v1, String v2, int dist) { - this.v1 = v1; - this.v2 = v2; - this.dist = dist; - } - } - - /** - * One vertex of the graph, complete with mappings to neighbouring vertices - */ - public static class Vertex implements Comparable { - - public final String name; - // MAX_VALUE assumed to be infinity - public int dist = Integer.MAX_VALUE; - public Vertex previous = null; - public final Map neighbours = new HashMap<>(); - - Vertex(String name) { - this.name = name; - } - - private void printPath() { - if (this == this.previous) { - System.out.printf("%s", this.name); - } else if (this.previous == null) { - System.out.printf("%s(unreached)", this.name); - } else { - this.previous.printPath(); - System.out.printf(" -> %s(%d)", this.name, this.dist); - } - } - - public int compareTo(Vertex other) { - if (dist == other.dist) { - return name.compareTo(other.name); - } - - return Integer.compare(dist, other.dist); - } - - @Override - public boolean equals(Object object) { - if (this == object) { - return true; - } - if (object == null || getClass() != object.getClass()) { - return false; - } - if (!super.equals(object)) { - return false; - } - - Vertex vertex = (Vertex) object; - - if (dist != vertex.dist) { - return false; - } - if (name != null ? !name.equals(vertex.name) : vertex.name != null) { - return false; - } - if (previous != null ? !previous.equals(vertex.previous) : vertex.previous != null) { - return false; - } - return neighbours != null ? neighbours.equals(vertex.neighbours) : vertex.neighbours == null; - } - - @Override - public int hashCode() { - int result = super.hashCode(); - result = 31 * result + (name != null ? name.hashCode() : 0); - result = 31 * result + dist; - result = 31 * result + (previous != null ? previous.hashCode() : 0); - result = 31 * result + (neighbours != null ? neighbours.hashCode() : 0); - return result; - } - - @Override - public String toString() { - return "(" + name + ", " + dist + ")"; - } - } - - /** - * Builds a graph from a set of edges - */ - Graph(Edge[] edges) { - graph = new HashMap<>(edges.length); - - // one pass to find all vertices - for (Edge e : edges) { - if (!graph.containsKey(e.v1)) { - graph.put(e.v1, new Vertex(e.v1)); - } - if (!graph.containsKey(e.v2)) { - graph.put(e.v2, new Vertex(e.v2)); - } - } - - // another pass to set neighbouring vertices - for (Edge e : edges) { - graph.get(e.v1).neighbours.put(graph.get(e.v2), e.dist); - // graph.get(e.v2).neighbours.put(graph.get(e.v1), e.dist); // also do this for an - // undirected graph - } - } - - /** - * Runs dijkstra using a specified source vertex - */ - public void dijkstra(String startName) { - if (!graph.containsKey(startName)) { - System.err.printf("Graph doesn't contain start vertex \"%s\"%n", startName); - return; - } - final Vertex source = graph.get(startName); - NavigableSet q = new TreeSet<>(); - - // set-up vertices - for (Vertex v : graph.values()) { - v.previous = v == source ? source : null; - v.dist = v == source ? 0 : Integer.MAX_VALUE; - q.add(v); - } - - dijkstra(q); - } - - /** - * Implementation of dijkstra's algorithm using a binary heap. - */ - private void dijkstra(final NavigableSet q) { - Vertex u; - Vertex v; - while (!q.isEmpty()) { - // vertex with shortest distance (first iteration will return source) - u = q.pollFirst(); - if (u.dist == Integer.MAX_VALUE) { - break; // we can ignore u (and any other remaining vertices) since they are - // unreachable - } - // look at distances to each neighbour - for (Map.Entry a : u.neighbours.entrySet()) { - v = a.getKey(); // the neighbour in this iteration - - final int alternateDist = u.dist + a.getValue(); - if (alternateDist < v.dist) { // shorter path to neighbour found - q.remove(v); - v.dist = alternateDist; - v.previous = u; - q.add(v); - } - } - } - } - - /** - * Prints a path from the source to the specified vertex - */ - public void printPath(String endName) { - if (!graph.containsKey(endName)) { - System.err.printf("Graph doesn't contain end vertex \"%s\"%n", endName); - return; - } - - graph.get(endName).printPath(); - System.out.println(); - } - - /** - * Prints the path from the source to every vertex (output order is not - * guaranteed) - */ - public void printAllPaths() { - for (Vertex v : graph.values()) { - v.printPath(); - System.out.println(); - } - } -}