Automorphic Number

Given a number N, the task is to check whether the number is Automorphic number or not. A number is called Automorphic number if and only if its square ends in the same digits as the number itself.
Examples :

Input  : N = 76 
Output : Automorphic
Explanation: As 76*76 = 5776

Input  : N = 25
Output : Automorphic
As 25*25 = 625

Input : N = 7
Output : Not Automorphic
As 7*7 = 49

1. Store the square of given number.
2. Loop until N becomes 0 as we have to match 
   all digits with its square.
    i) Check if (n%10 == sq%10) i.e. last digit 
       of number = last digit of square or not
        a) if not equal, return false.
    ii) Otherwise continue i.e. reduce number and 
        square i.e. n = n/10 and sq = sq/10;
3- Return true if all digits matched.

C++

// C++ program to check if a number is Automorphic
#include <iostream>
using namespace std;

// Function to check Automorphic number
bool isAutomorphic(int N)
{
    // Store the square
    int sq = N * N;

    // Start Comparing digits
    while (N > 0) {
        // Return false, if any digit of N doesn't
        // match with its square's digits from last
        if (N % 10 != sq % 10)
            return false;

        // Reduce N and square
        N /= 10;
        sq /= 10;
    }

    return true;
}

// Driver code
int main()
{
    int N = 5;

    isAutomorphic(N) ? cout << "Automorphic"
                     : cout << "Not Automorphic";

    return 0;
}

Java

// Java program to check if a number is Automorphic
class Test {
    // Function to check Automorphic number
    static boolean isAutomorphic(int N)
    {
        // Store the square
        int sq = N * N;

        // Start Comparing digits
        while (N > 0) {
            // Return false, if any digit of N doesn't
            // match with its square's digits from last
            if (N % 10 != sq % 10)
                return false;

            // Reduce N and square
            N /= 10;
            sq /= 10;
        }

        return true;
    }

    // Driver method
    public static void main(String[] args)
    {
        int N = 5;

        System.out.println(isAutomorphic(N) ? "Automorphic" : "Not Automorphic");
    }
}

Python3

# Python program to check if a number is Automorphic

# Function to check Automorphic number
def isAutomorphic(N) :

    # Store the square
    sq = N * N

    # Start Comparing digits
    while (N > 0) :

        # Return false, if any digit of N doesn't
        # match with its square's digits from last
        if (N % 10 != sq % 10) :
            return False

        # Reduce N and square
        N //= 10
        sq //= 10

    return True

# Driver code
N = 5
if isAutomorphic(N) :
    print ("Automorphic")
else :
    print  ("Not Automorphic")

# This Code is contributed by Nikita Tiwari.

C#

// C# program to check if a
// number is Automorphic
using System;

class GFG {

    // Function to check Automorphic number
    static bool isAutomorphic(int N)
    {

        // Store the square
        int sq = N * N;

        // Start Comparing digits
        while (N > 0) {
            // Return false, if any digit
            // of N doesn't match with its
            // square's digits from last
            if (N % 10 != sq % 10)
                return false;

            // Reduce N and square
            N /= 10;
            sq /= 10;
        }

        return true;
    }

    // Driver Code
    public static void Main()
    {
        int N = 5;

        Console.Write(isAutomorphic(N) ? "Automorphic" : "Not Automorphic");
    }
}

// This code is Contributed by Nitin Mittal.

PHP

<?php
// PHP program to check if
// a number is Automorphic

// Function to check
// Automorphic number
function isAutomorphic($N)
{
    // Store the square
    $sq = $N * $N;

    // Start Comparing digits
    while ($N > 0)
    {
        // Return false, if any
        // digit of N doesn't
        // match with its square's
        // digits from last
        if ($N % 10 != $sq % 10)
            return -1;

        // Reduce N and square
        $N /= 10;
        $sq /= 10;
    }

    return 1;
}

// Driver code
$N = 5;

$geeks = isAutomorphic($N) ?
             "Automorphic" :
          "Not Automorphic";
    echo $geeks;

// This code is contributed by ajit
?>

Javascript

<script>

// Javascript program to check if
// a number is Automorphic

// Function to check
// Automorphic number
function isAutomorphic(N)
{
    // Store the square
    let sq = N * N;

    // Start Comparing digits
    while (N > 0)
    {
        // Return false, if any
        // digit of N doesn't
        // match with its square's
        // digits from last
        if (N % 10 != sq % 10)
            return -1;

        // Reduce N and square
        N /= 10;
        sq /= 10;
    }

    return 1;
}

// Driver code
let N = 5;

let geeks = isAutomorphic(N) ?
             "Automorphic" :
          "Not Automorphic";
    document.write(geeks);

// This code is contributed by _saurabh_jaiswal
</script>

Output :

Automorphic

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