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package edu.princeton.cs.algorithms;

import edu.princeton.cs.introcs.In;
import edu.princeton.cs.introcs.StdOut;

/*************************************************************************
 *  Compilation:  javac DirectedDFS.java
 *  Execution:    java DirectedDFS V E
 *  Dependencies: Digraph.java Bag.java In.java StdOut.java
 *  Data files:   http://www.cs.princeton.edu/algs4/42directed/tinyDG.txt
 *
 *  Determine single-source or multiple-source reachability in a digraph
 *  using depth first search.
 *  Runs in O(E + V) time.
 *
 *  % java DirectedDFS tinyDG.txt 1
 *  1
 *
 *  % java DirectedDFS tinyDG.txt 2
 *  0 1 2 3 4 5
 *
 *  % java DirectedDFS tinyDG.txt 1 2 6
 *  0 1 2 3 4 5 6 8 9 10 11 12 
 *
 *************************************************************************/
/**
 *  The DirectedDFS class represents a data type for 
 *  determining the vertices reachable from a given source vertex s
 *  (or set of source vertices) in a digraph. For versions that find the paths,
 *  see {@link DepthFirstDirectedPaths} and {@link BreadthFirstDirectedPaths}.
 *  

* This implementation uses depth-first search. * The constructor takes time proportional to V + E * (in the worst case), * where V is the number of vertices and E is the number of edges. *

* For additional documentation, see Section 4.1 of * Algorithms, 4th Edition by Robert Sedgewick and Kevin Wayne. * * @author Robert Sedgewick * @author Kevin Wayne */ public class DirectedDFS { private boolean[] marked; // marked[v] = true if v is reachable // from source (or sources) private int count; // number of vertices reachable from s /** * Computes the vertices in digraph G that are * reachable from the source vertex s. * @param G the digraph * @param s the source vertex */ public DirectedDFS(Digraph G, int s) { marked = new boolean[G.V()]; dfs(G, s); } /** * Computes the vertices in digraph G that are * connected to any of the source vertices sources. * @param G the graph * @param sources the source vertices */ public DirectedDFS(Digraph G, Iterable sources) { marked = new boolean[G.V()]; for (int v : sources) { if (!marked[v]) dfs(G, v); } } private void dfs(Digraph G, int v) { count++; marked[v] = true; for (int w : G.adj(v)) { if (!marked[w]) dfs(G, w); } } /** * Is there a directed path from the source vertex (or any * of the source vertices) and vertex v? * @param v the vertex * @return true if there is a directed path, false otherwise */ public boolean marked(int v) { return marked[v]; } /** * Returns the number of vertices reachable from the source vertex * (or source vertices). * @return the number of vertices reachable from the source vertex * (or source vertices) */ public int count() { return count; } /** * Unit tests the DirectedDFS data type. */ public static void main(String[] args) { // read in digraph from command-line argument In in = new In(args[0]); Digraph G = new Digraph(in); // read in sources from command-line arguments Bag sources = new Bag(); for (int i = 1; i < args.length; i++) { int s = Integer.parseInt(args[i]); sources.add(s); } // multiple-source reachability DirectedDFS dfs = new DirectedDFS(G, sources); // print out vertices reachable from sources for (int v = 0; v < G.V(); v++) { if (dfs.marked(v)) StdOut.print(v + " "); } StdOut.println(); } }





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