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| 1 | +// This code is contributed by Riyazul555 |
| 2 | + |
| 3 | +// Time Complexity = O(V + E) where V is the number of vertices and E is the number of edges. |
| 4 | +// Space Complexity = O(V + E) where V is the number of vertices and E is the number of edges. |
| 5 | + |
| 6 | +import java.io.*; |
| 7 | +import java.util.*; |
| 8 | + |
| 9 | +public class EulerPath { |
| 10 | + |
| 11 | + static void euler(int nod, ArrayList<Pair<Integer, Integer>>[] G, ArrayList<Integer> e, BitSet viz) { |
| 12 | + while (!G[nod].isEmpty()) { |
| 13 | + Pair<Integer, Integer> it = G[nod].remove(G[nod].size() - 1); |
| 14 | + if (!viz.get(it.second)) { |
| 15 | + viz.set(it.second); |
| 16 | + euler(it.first, G, e, viz); |
| 17 | + } |
| 18 | + } |
| 19 | + e.add(nod); |
| 20 | + } |
| 21 | + |
| 22 | + public static void main(String[] args) throws IOException { |
| 23 | + BufferedReader fin = new BufferedReader(new FileReader(args[0])); |
| 24 | + BufferedWriter fout = new BufferedWriter(new FileWriter(args[1])); |
| 25 | + |
| 26 | + StringTokenizer st = new StringTokenizer(fin.readLine()); |
| 27 | + int n = Integer.parseInt(st.nextToken()); |
| 28 | + int m = Integer.parseInt(st.nextToken()); |
| 29 | + |
| 30 | + ArrayList<Pair<Integer, Integer>>[] G = new ArrayList[n + 1]; |
| 31 | + for (int i = 1; i <= n; i++) { |
| 32 | + G[i] = new ArrayList<>(); |
| 33 | + } |
| 34 | + |
| 35 | + for (int i = 1; i <= m; i++) { |
| 36 | + st = new StringTokenizer(fin.readLine()); |
| 37 | + int x = Integer.parseInt(st.nextToken()); |
| 38 | + int y = Integer.parseInt(st.nextToken()); |
| 39 | + G[x].add(new Pair<>(y, i)); |
| 40 | + G[y].add(new Pair<>(x, i)); |
| 41 | + } |
| 42 | + |
| 43 | + ArrayList<Integer> e = new ArrayList<>(); |
| 44 | + BitSet viz = new BitSet(m); |
| 45 | + euler(1, G, e, viz); |
| 46 | + |
| 47 | + for (int i = e.size() - 1; i > 0; i--) { |
| 48 | + fout.write(e.get(i) + " "); |
| 49 | + } |
| 50 | + |
| 51 | + fin.close(); |
| 52 | + fout.close(); |
| 53 | + } |
| 54 | + |
| 55 | + static class Pair<A, B> { |
| 56 | + A first; |
| 57 | + B second; |
| 58 | + |
| 59 | + public Pair(A first, B second) { |
| 60 | + this.first = first; |
| 61 | + this.second = second; |
| 62 | + } |
| 63 | + } |
| 64 | +} |
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