import java.util.InputMismatchException;
import java.util.LinkedList;
import java.util.Queue;
import java.util.Scanner;

public class BFS
{

    private Queue<Integer> queue;

    public BFS()
    {
        queue = new LinkedList<Integer>();
    }

    public void bfs(int adjacency_matrix[][], int source)
    {
        int number_of_nodes = adjacency_matrix[source].length - 1;
        int[] visited = new int[number_of_nodes + 1];
        int i, element;
        visited[source] = 1;
        queue.add(source);
        while (!queue.isEmpty())
            {
                element = queue.remove();
                i = element;
                System.out.print(i + "\t");
                while (i <= number_of_nodes)
                    {
                        if (adjacency_matrix[element][i] == 1 && visited[i] == 0)
                            {
                                queue.add(i);
                                visited[i] = 1;
                            }
                        i++;
                    }
            }
    }

    public static void main(String... arg)
    {
        int number_no_nodes, source;
        Scanner scanner = null;
        try
            {
                System.out.println("Enter the number of nodes in the graph");
                scanner = new Scanner(System.in);
                number_no_nodes = scanner.nextInt();
                int adjacency_matrix[][] = new int[number_no_nodes + 1][number_no_nodes + 1];
                System.out.println("Enter the adjacency matrix");
                for (int i = 1; i <= number_no_nodes; i++)
                    for (int j = 1; j <= number_no_nodes; j++)
                        adjacency_matrix[i][j] = scanner.nextInt();
                System.out.println("Enter the source for the graph");
                source = scanner.nextInt();
                System.out.println("The BFS traversal of the graph is ");
                BFS bfs = new BFS();
                bfs.bfs(adjacency_matrix, source);
            }
        catch (InputMismatchException inputMismatch)
            {
                System.out.println("Wrong Input Format");
            }
        scanner.close();
    }
}

/*
Enter the number of nodes in the graph
4
Enter the adjacency matrix
0 1 0 1
0 0 1 0
0 1 0 1
0 0 0 1
Enter the source for the graph
1
The BFS traversal of the graph is
1   2   4   3