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package algs42;
import java.util.Iterator;
import java.util.LinkedList;
import algs13.Queue;
import stdlib.*;
public class MyEuler {
// local copy of the graph
private Queue<Integer>[] adj;
private int E;
private boolean isEulerian = true;
@SuppressWarnings("unchecked")
public MyEuler(Digraph G) {
// create local copy of graph
adj = new Queue[G.V()];
for (int v = 0; v < G.V(); v++) {
adj[v] = new Queue<>();
for (int w : G.adj(v))
adj[v].enqueue(w);
}
// get initial number of edges
E = G.E ();
if (E == 0) {
isEulerian = true;
return;
}
// find starting vertex with at least one edge
int s = 0;
while (adj[s].isEmpty ())
s++;
// TODO
}
public Iterable<Integer> tour() {
// TODO
return null;
}
public boolean isEulerian() {
return isEulerian;
}
public static boolean isTour(Digraph G, Iterable<Integer> tour) {
@SuppressWarnings("unchecked")
LinkedList<Integer>[] adj = new LinkedList[G.V()];
int E = G.E ();
for (int v = 0; v < G.V(); v++) {
adj[v] = new LinkedList<>();
for (int w : G.adj(v))
adj[v].add(w);
}
if (tour == null)
return E == 0;
Iterator<Integer> it = tour.iterator ();
if (!it.hasNext())
return E == 0;
int s = it.next();
int v = s;
while (it.hasNext()) {
int w = it.next();
if (adj[v].contains(w)) {
adj[v].remove((Integer) w);
E--;
v = w;
} else {
throw new Error();
}
}
if (v != s) throw new Error();
if (E != 0) throw new Error();
return (v == s) && (E == 0);
}
public static Digraph inOutEqual (int V, int E) {
// random graph of V vertices and approximately E edges
// with indegree[v] = outdegree[v] for all vertices
Digraph G = new Digraph(V);
int[] indegree = new int[V];
int[] outdegree = new int[V];
int deficit = 0;
for (int i = 0; i < E - deficit/2; i++) {
int v = StdRandom.uniform(V);
int w = StdRandom.uniform(V);
if (v == w) { i--; continue; }
G.addEdge(v, w);
if (outdegree[v] >= indegree[v]) deficit++;
else deficit--;
outdegree[v]++;
if (indegree[w] >= outdegree[w]) deficit++;
else deficit--;
indegree[w]++;
}
while (deficit > 0) {
int v = StdRandom.uniform(V);
int w = StdRandom.uniform(V);
if (v == w) continue;
if (outdegree[v] >= indegree[v]) continue;
if (indegree[w] >= outdegree[w]) continue;
G.addEdge(v, w);
if (outdegree[v] >= indegree[v]) deficit++;
else deficit--;
outdegree[v]++;
if (indegree[w] >= outdegree[w]) deficit++;
else deficit--;
indegree[w]++;
}
return G;
}
public static void main(String[] args) {
//args = new String[] { "data/tinyDG.txt" }; // NO
//args = new String[] { "data/tinyCG.txt" }; // NO
//args = new String[] { "data/tinyDGeuler9.txt" }; // YES
//args = new String[] { "data/tinyDGeuler2.txt" }; // YES
//args = new String[] { "data/tinyDGeuler3.txt" }; // YES
//args = new String[] { "data/tinyDGeuler4.txt" }; // YES
//args = new String[] { "data/tinyDGeuler5.txt" }; // NO
//args = new String[] { "data/tinyDGeuler6.txt" }; // YES
//args = new String[] { "data/tinyDGeuler7.txt" }; // NO
//args = new String[] { "data/tinyDGeuler8.txt" }; // YES
//args = new String[] { "data/tinyDGeuler9.txt" }; // YES
args = new String[] { "20", "40" };
Digraph G;
if (args.length == 1) {
In in = new In(args[0]);
G = DigraphGenerator.fromIn(in);
} else {
int V = Integer.parseInt(args[0]);
int E = Integer.parseInt(args[1]);
while (true) {
G = inOutEqual(V,E);
if (new KosarajuSharirSCC(G).count () == 1)
break;
}
}
StdOut.println(G);
YEuler euler0 = new YEuler(G, 1);
if (euler0.isEulerian()) {
for (int v : euler0.tour())
StdOut.print(v + " ");
StdOut.println();
} else {
StdOut.println("Not eulerian");
}
if (!isTour(G,euler0.tour())) StdOut.println("Not a tour");
YEuler euler1 = new YEuler(G, 2);
if (euler1.isEulerian()) {
for (int v : euler1.tour())
StdOut.print(v + " ");
StdOut.println();
} else {
StdOut.println("Not eulerian");
}
if (!isTour(G,euler1.tour())) StdOut.println("Not a tour");
}
}
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