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-rw-r--r-- | src/main/StronglyConnected.java | 87 |
1 files changed, 87 insertions, 0 deletions
diff --git a/src/main/StronglyConnected.java b/src/main/StronglyConnected.java new file mode 100644 index 0000000..adc045b --- /dev/null +++ b/src/main/StronglyConnected.java @@ -0,0 +1,87 @@ +import java.util.ArrayList; +import java.util.Collections; +import java.util.Scanner; +import java.util.stream.IntStream; + +public class StronglyConnected { + private static int numberOfStronglyConnectedComponents(ArrayList<Integer>[] adj) { + ArrayList<Integer>[] adjReversa1 = reverseG(adj); + boolean[] adjReversalVisited = new boolean[adj.length]; + int[] postV = new int[adj.length]; + int[] clock = new int[1]; + dfs(adjReversa1, adjReversalVisited, postV, clock); + + // https://stackoverflow.com/questions/951848/java-array-sort-quick-way-to-get-a-sorted-list-of-indices-of-an-array/35701049 + int[] temp = IntStream.range(0, postV.length).boxed().sorted((i, j) -> postV[i] - postV[j]).mapToInt(ele -> ele).toArray(); + + boolean[] visited = new boolean[adj.length]; + int sccCount = 0; + + + for (int i = adj.length - 1; i > -1; i--) { + if (!visited[temp[i]]) { + exploreWithoutPostV(temp[i], adj, visited); + sccCount++; + } + } + return sccCount; + } + + private static void dfs(ArrayList<Integer>[] adj, boolean[] visited, int[] postV, int[] clock) { + for (int v = 0; v < adj.length; v++) { + if (!visited[v]) + explore(v, adj, visited, postV, clock); + } + } + + private static void explore(int v, ArrayList<Integer>[] adj, boolean[] visited, int[] postV, int[] clock) { + visited[v] = true; + for (int w : adj[v]) { + if (!visited[w]) + explore(w, adj, visited, postV, clock); + } + postV[v] = clock[0]; + clock[0] = clock[0] + 1; + } + + private static void exploreWithoutPostV(int v, ArrayList<Integer>[] adj, boolean[] visited) { + visited[v] = true; + for (int w : adj[v]) { + if (!visited[w]) + exploreWithoutPostV(w, adj, visited ); + } + } + + + private static ArrayList<Integer>[] reverseG(ArrayList<Integer>[] adj) { + ArrayList<Integer>[] adjReverse = (ArrayList<Integer>[])new ArrayList[adj.length]; + for (int i = 0; i < adj.length; i++) { + adjReverse[i] = new ArrayList<Integer>(); + } + + for (int v = 0; v < adj.length; v++) { + for (int w : adj[v]) { + adjReverse[w].add(v); + } + } + return adjReverse; + } + + public static void main(String[] args) { + Scanner scanner = new Scanner(System.in); + int n = scanner.nextInt(); + int m = scanner.nextInt(); + ArrayList<Integer>[] adj = (ArrayList<Integer>[])new ArrayList[n]; + for (int i = 0; i < n; i++) { + adj[i] = new ArrayList<Integer>(); + } + for (int i = 0; i < m; i++) { + int x, y; + x = scanner.nextInt(); + y = scanner.nextInt(); + adj[x - 1].add(y - 1); + } + System.out.println(numberOfStronglyConnectedComponents(adj)); + } +} + |