diff --git a/Maths/AutomorphicNumber.java b/Maths/AutomorphicNumber.java new file mode 100644 index 000000000..9308073cb --- /dev/null +++ b/Maths/AutomorphicNumber.java @@ -0,0 +1,63 @@ +/** + * A number is said to be an Automorphic, if it is present in the last digit(s) of its square. + * Example- Let the number be 25, its square is 625. + * Since, 25(The input number) is present in the last two digits of its square(625), + * it is an Automorphic Number. + */ +import java.io.*; + +public class AutomorphicNumber +{ + //returns True if the number is a Automorphic number and False if it is not an Automorphic number + public static boolean isAutomorphic(int n) + { + int m, c, r, p, k; c = 0; + /** m = Temporary variable to store a copy of the number entered by the user. + * n = The number entered by the user + * c = Count the digits of the number entered by user. + * p = To calculate the square of the number. + * k = Support variable to count the digits of the number + */ + double s; + m = n; + p = m * m; //Calculating square of the number + do + { + k = n / 10; + c = c + 1; //Counting the digits of the number entered by user. + n = k; + } + while(n != 0); + s = Math.pow(10, c); + r = p %(int)s; + if(m == r) //Checking if the original number entered is present at the end of the square + { + return true; + } + else + { + return false; + } + } + + /** Method to check if number is Automorphic Number or Not + * 1) Input - Enter a Number: 25 + * Output - It is an Automorphic Number. + * 2) Input - Enter a Number: 7 + * Output - It is not an Automorphic Number. + */ + public static void main(String args[]) throws IOException + { + BufferedReader br=new BufferedReader(new InputStreamReader(System.in)); + System.out.println("Enter a Number: "); + int n=Integer.parseInt(br.readLine()); + if(isAutomorphic(n)) + { + System.out.println("It is an Automorphic Number."); + } + else + { + System.out.println("It is not an Automorphic Number."); + } + } +}