Excetion Propagation (Stack Trace)

class Propagation
{
    void show() throws Exception
    {
        int a = 10/0;            //    unchecked exception
    }
    void disp() throws Exception
    {
        show();
    }
    public static void main(String...s)
    {
        Propagation ob = new Propagation();                // this concept is known as object propagation.
        try
        {
            ob.disp();
        }
        catch(Exception e)
        {
            System.out.println(e);
            e.printStackTrace();
            System.out.println(e.getMessage());
        }

    }
}

Printing a Circular Matrix(Spiral Matrix)

import java.io.*;
class Circular
    {
        public static void main(String args[])throws IOException
        {
            BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
            System.out.print("Enter the number of elements : ");
            int n=Integer.parseInt(br.readLine());

            int A[][]=new int[n][n];
            int k=1, c1=0, c2=n-1, r1=0, r2=n-1;

            while(k<=n*n)
                {
                    for(int i=c1;i<=c2;i++)
                    {
                            A[r1][i]=k++;
                    }

                    for(int j=r1+1;j<=r2;j++)
                    {
                            A[j][c2]=k++;
                    }

                    for(int i=c2-1;i>=c1;i--)
                    {
                            A[r2][i]=k++;
                    }

                    for(int j=r2-1;j>=r1+1;j--)
                    {
                            A[j][c1]=k++;
                    }

                 c1++;
                 c2--;
                 r1++;
                 r2--;
                }

            System.out.println("The Circular Matrix is:");
            for(int i=0;i<n;i++)
                {
                    for(int j=0;j<n;j++)
                        {
                                System.out.print(A[i][j]+ "\t");
                        }
                     System.out.println();
                }
        }
}

Printing boundary of a matrix

import java.io.*;

class boundary
{
    public static void main(String args[]) throws IOException
    {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        int r,c;
        System.out.println("Enter row:");
        r=Integer.parseInt(br.readLine());
        System.out.println("Enter column:");
        c=Integer.parseInt(br.readLine());
        int[][] ar=new int[r][c];
        System.out.println("Enter value in array:");
        for(int i=0; i<r; i++)
        {
            for(int j=0; j<r; j++)
            {
                ar[i][j]=Integer.parseInt(br.readLine());
            }
        }
        for(int i=0; i<r; i++)
        {
            for(int j=0; j<r; j++)
            {
                System.out.print(ar[i][j] +" ");
            }
               System.out.println("\n");
        }
        for(int i=0; i<r; i++)
        {
            for(int j=0; j<r; j++)
            {
                if(i==0||j==0)
                {
                    System.out.print(ar[i][j] +"  ");
                }
                else if(i==r-1 || j==c-1)
                {

                    System.out.print(ar[i][j] +"  ");
                }
                else
                {
                    System.out.print("\t\t");
                }
            }System.out.println();
        }
    }
}