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-rw-r--r-- | src/main/Acyclicity.java | 59 | ||||
-rw-r--r-- | src/test/AcyclicityTest.java | 55 |
2 files changed, 114 insertions, 0 deletions
diff --git a/src/main/Acyclicity.java b/src/main/Acyclicity.java new file mode 100644 index 0000000..1d69ab8 --- /dev/null +++ b/src/main/Acyclicity.java @@ -0,0 +1,59 @@ +import java.util.ArrayList; +import java.util.Scanner; + +public class Acyclicity { + static int acyclic(ArrayList<ArrayList<Integer>> adj) { + ArrayList<Integer> visited = new ArrayList<>(); + int[] prev = new int[adj.size()]; + int[] postv = new int[adj.size()]; + int[] clock = new int[1]; + clock[0] = 0; + dfs(adj, visited, prev, postv, clock); + + for (int u = 0; u < adj.size(); u++) { + for (int v : adj.get(u)) { + if (postv[u] <= postv[v]) + return 1; + } + } + return 0; + } + + private static void dfs(ArrayList<ArrayList<Integer>> adj, ArrayList<Integer> visited, int[] prev, int[] postv, int[] clock) { + for (int v = 0; v < adj.size(); v++) { + if (!visited.contains(v)) + explore(adj, v, visited, prev, postv, clock); + } + } + + private static void explore(ArrayList<ArrayList<Integer>> adj, int v, ArrayList<Integer> visited, int[] prev, int[] postv, int[] clock) { + visited.add(v); + prev[v] = clock[0]; + clock[0] = clock[0] + 1; + + for (int n : adj.get(v)) { + if (!visited.contains(n)) + explore(adj, n, visited, prev, postv, clock); + } + postv[v] = clock[0]; + clock[0] = clock[0] + 1; + + } + + public static void main(String[] args) { + Scanner scanner = new Scanner(System.in); + int n = scanner.nextInt(); + int m = scanner.nextInt(); + ArrayList<ArrayList<Integer>> adj = new ArrayList<ArrayList<Integer>>(); + for (int i = 0; i < n; i++) { + adj.add(new ArrayList<Integer>()); + } + for (int i = 0; i < m; i++) { + int x, y; + x = scanner.nextInt(); + y = scanner.nextInt(); + adj.get(x - 1).add(y - 1); + } + System.out.println(acyclic(adj)); + } +} diff --git a/src/test/AcyclicityTest.java b/src/test/AcyclicityTest.java new file mode 100644 index 0000000..9d67894 --- /dev/null +++ b/src/test/AcyclicityTest.java @@ -0,0 +1,55 @@ +import org.junit.jupiter.api.Test; + +import java.util.ArrayList; + +import static org.junit.jupiter.api.Assertions.*; + +class AcyclicityTest { + + @Test + void test() { + ArrayList<ArrayList<Integer>> adj = new ArrayList<>(); + for (int i = 0; i < 4; i++) { + adj.add(new ArrayList<>()); + } + + adj.get(0).add(1); + adj.get(3).add(0); + adj.get(1).add(2); + adj.get(2).add(0); + + assertEquals(1, Acyclicity.acyclic(adj)); + } + + @Test + void test1() { + ArrayList<ArrayList<Integer>> adj = new ArrayList<>(); + for (int i = 0; i < 5; i++) { + adj.add(new ArrayList<>()); + } + + adj.get(0).add(1); + adj.get(1).add(2); + adj.get(0).add(2); + adj.get(2).add(3); + adj.get(0).add(3); + adj.get(1).add(4); + adj.get(2).add(4); + + assertEquals(0, Acyclicity.acyclic(adj)); + } + + @Test + void test2() { + ArrayList<ArrayList<Integer>> adj = new ArrayList<>(); + for (int i = 0; i < 4; i++) { + adj.add(new ArrayList<>()); + } + + adj.get(0).add(1); + adj.get(2).add(1); + adj.get(3).add(2); + + assertEquals(0, Acyclicity.acyclic(adj)); + } +}
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