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127 lines
3.8 KiB
Java

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 <a href="/algs4/41graph">Section 4.1</a> 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<Integer> 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<Integer> sources = new Bag<Integer>();
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();
}
}