Basic Programming C++ Examples

C++ Program to Check if a number is Authomorphic or not

The Program in C++ Program to Check if a number is Authomorphic or not is given below:

#include <iostream>
#include <cmath>
#include <string>

using namespace std;

bool isAutomorphic(int n) {
    int m = pow(10, int(log10(n)) + 1);
    return (n * n) % m == n;
}

int main() {
    int n;
    cout << "Hello Codeauri Family,Enter a number here to check if the number is automorphic or not!:\n ";
    cin >> n;
    if (isAutomorphic(n)) {
        cout << n << " is an Automorphic number." << endl;
    } else {
        cout << n << " is not an Automorphic number." << endl;
    }
    return 0;
}

Output:


Hello Codeauri Family,Enter a number here to check if the number is automorphic or not!:
6255
625 is an Automorphic number.


Pro-Tips💡

This program implements a function isAutomorphic to check if a number is an Automorphic number.

An Automorphic number is a number whose square ends in the same digits as the number itself.

The isAutomorphic function calculates the number of digits in n and the corresponding power of 10, then checks if the last d digits of n * n match n.

If they match, the function returns true, otherwise it returns false.

The main function prompts the user to enter a number and calls the isAutomorphic function with the input.

If the function returns true, the number is an Automorphic number and the program prints a message to that effect.

If the function returns false, the number is not an Automorphic number and the program prints a message to that effect

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