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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