Question

(use the JOptionPane methods for input and output)

Write a java application that prompts the user to input an integers x.

Then the program should call the method isAutomorphic to check if the integer x is automorphic^*or not. At the end the program should output a message to indicate if x is automorphic or not

^*In Mathematics, an automorphic number is a number that ends with the same digit that its square ends with.

For Example:

76² = 5776    è  (76 is automorphic since it ends with 6 and its square 5776 ends with 6 as well)

5² = 25         è  (5 is automorphic since it ends with 5 and its square 25 ends with 5 as well)

Answer 1

// Java program to input an integer and check if it is an automorphic number or not
import javax.swing.JOptionPane;

public class Automorphic {
   // method that returns true if x is an automorphic number else false
   public static boolean isAutomorphic(int x)
   {
       // An automorphic number is a number that ends with the same digit as the square of that number ends
       // a%b returns the remainder when a is divided by b
       // if last digit of x = last digit of square of x, then it is automorphic else it is not automorphic
       return((x%10) == ((x*x)%10));
              
   }
     
   public static void main(String[] args) {
      
       String x;
       // input of integer
       x = JOptionPane.showInputDialog(null,"Enter an integer: ");
      
       // convert x to integer and check if it is automorphic or not and display the result
       if(isAutomorphic(Integer.parseInt(x)))
           JOptionPane.showMessageDialog(null,x+" is an automorphic number");
       else
           JOptionPane.showMessageDialog(null,x+" is not an automorphic number");
      
}
}

//end of program

Output: