# Program to Find the nth Automorphic number

A Number is an Automorphic Number when the square ends in the same digits as the number itself.

Example:

5*5=25 //Automorphic Number

625*625=390625 //Automorphic Number

7*7=49 //Not an Automorphic Number

Problem statement:-  Program to find the nth Automorphic number.

Data requirement:-

Input Data:- rangenumber

Output Data:- rangenumber, letest

Additional Data:- cnum, num1, flag, sqr

## Program in C

### Here is the source code of the C Program to find the nth Automorphic Number.

Code:

#include <stdio.h>
int
main ()
{
int i, rangenumber, num = 1, c = 0, letest = 0;
printf ("Enter the Nth value:");
scanf ("%d", &rangenumber);

while (c != rangenumber)
{
int num1=num;
int sqr=num1*num1;
int flag=0;
while(num1>0)
{
if(num1%10 != sqr%10)
{flag=-1;
break;
}
num1=num1/10;
sqr=sqr/10;
}
if(flag==0)
{
c++;
letest=num;
}
num = num + 1;
}
printf ("%dth Automorphic number is %d", rangenumber, letest);
return 0;
}

Input/Output:
Enter the Nth value:5
5th Automorphic number is 76

Program in C++

Here is the source code of the C++ Program to find the nth Automorphic Number.

Code:

//nth Automorphic number
#include <iostream>
using namespace std;
int
main ()
{
int i, rangenumber, num = 1, c = 0, letest = 0;
cout<<"Enter the Nth value:";
cin>>rangenumber;

while (c != rangenumber)
{
int num1=num;
int sqr=num1*num1;
int flag=0;
while(num1>0)
{
if(num1%10 != sqr%10)
{flag=-1;
break;
}
num1=num1/10;
sqr=sqr/10;
}
if(flag==0)
{
c++;
letest=num;
}
num = num + 1;
}
cout<<rangenumber<<"th Automorphic number is "<<letest;
return 0;
}

Input/Output:
Enter the Nth value:7
7th Automorphic number is 625

Program in Java

### Here is the source code of the Java Program to find the nth Automorphic Number.

Code:

import java.util.Scanner;
public class NthAutomorphic {
public static void main(String[] args) {
Scanner cs=new Scanner(System.in);
int  rangenumber, num = 1, c = 0, letest = 0;
System.out.println("Enter Nth number:");
rangenumber=cs.nextInt();

while (c != rangenumber)
{
int num1=num;
int sqr=num1*num1;
int flag=0;
while(num1>0)
{
if(num1%10 != sqr%10)
{flag=-1;
break;
}
num1=num1/10;
sqr=sqr/10;
}
if(flag==0)
{
c++;
letest=num;
}
num = num + 1;
}
System.out.println(rangenumber+"th Automorphic number is "+letest);
cs.close();
}
}

Input/Output:
Enter Nth number:
4
4th Automorphic number is 25

Program in Python

### Here is the source code of the Python Program to find the nth Automorphic Number.

Code:

rangenumber=int(input("Enter an Nth Number:"))
c = 0
letest = 0
num = 1
while c != rangenumber:
num1 = num
sqr = num1 * num1
flag = 0
while num1>0:
if num1%10 != sqr%10:
flag = -1
break
num1 = num1 // 10
sqr = sqr // 10

if flag==0:
c+=1
letest = num

num = num + 1
print(rangenumber,"th Automorphic number is ",letest)

Input/Output:
Enter an Nth Number:2
2 th Automorphic number is  5

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