Automorphic Number

1

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 Authomorphic
#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 Authomorphic
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");
    }
}

Python

# Python program to check if a number is Authomorphic
 
# 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.


Output:

Automorphic

This article is contributed by Sahil Chhabra. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

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