Trimorphic Number in JAVA

Trimorphic Number

Trimorphic Number: A number is called Trimorphic Number if and only if its cube ends in the same digits as the number itself. 

Or 

A number ‘n’ is called Trimorphic if ‘n^3’ ends in ‘n’ 

Example :-

Input : 5 

Cube : 5 X 5 X 5 = 625 

Output : It is Trimorphic Number 

Input : 49 

Cube : 49 X 49 X 49 = 117649 

Output : It is a Trimorphic Number 

Input : 7 

Cube : 7 X 7 X 7 = 343 

Output : It is not a Trimorphic Number  

Algorithm and Program given below :-

Algorithm :-

• Input a number
• Store the input number in another variable say ‘copy’
• Store the ‘n³’ of the input number in a variable
• Now using while loop check the no. of digits in input number
• Divide the ‘n³’ of the input number by 10 with power equal to number of digits present in Input Number.
• This will give a number having no. of digits same as of input no.
• Compare this new number with input number
• If it is equal print “It is a Trimorphic Number”
• Else “It is not a Trimorphic Number”
• Compile and Run the Program.
  

 

Program :-

import java.io.*;
import java.util.*;
class Trimorphic
{
    public static void main(String args[])
    {
        Scanner in=new Scanner(System.in);
        int n, cube, copy, c=0;
        System.out.println("Enter Number");
        n= in.nextInt();// Enter number from user
        cube=n*n*n;// Storing Cube of the input number
        copy=n;//assigning entered number in copy variable
        while(copy>0)
        {
            c++;
            copy=copy/10;//taking quotient of the number
        }
        int end = cube%(int) Math.pow(10,c);//checking the digits of the number
        if(n==end)// comparing digits with original number
        {
            System.out.println("It is Trimorphic : "+n);
        }
        else
        {
            System.out.println("It is not Trimorphic : "+n);
        }
    }// end of main method
}// end of class 

Video Link of this Program : https://youtu.be/3hj2Q3ol5ek

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