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Answer:
Automorphic number: (Automorphic number is the number which is contained in the last digit(s) of its square.)
Example: 25 is an Automorphic number as its square is 625 and 25 is present as the last two digits.
import java.util.Scanner;
public class KboatPrimeAutomorphic
{
public static void main(String args[]) {
Scanner in = new Scanner(System.in);
System.out.println("1. Prime number");
System.out.println("2. Automorphic number");
System.out.print("Enter your choice: ");
int choice = in.nextInt();
System.out.print("Enter number: ");
int num = in.nextInt();
switch (choice) {
case 1:
int c = 0;
for (int i = 1; i <= num; i++) {
if (num % i == 0) {
c++;
}
}
if (c == 2)
System.out.println(num + " is Prime");
else
System.out.println(num + " is not Prime");
break;
case 2:
int numCopy = num;
int sq = num * num;
int d = 0;
/*
* Count the number of
* digits in num
*/
while(num > 0) {
d++;
num /= 10;
}
/*
* Extract the last d digits
* from square of num
*/
int ld = (int)(sq % Math.pow(10, d));
if (ld == numCopy)