Trimorphic_number.cpp

/* 
*  In this program we have to tell whether a given number
   is trimorphic or not.
*  A trimorphic number is a number whose cube's last digit 
   is equal to the last digit of the number itself.
*   For Ex:  
           If number=10
               cube=1000
            Since last digit to 1000 and 10 both are 0. 
            Therefore, 10 is a Trimorphic number.
*/

#include<iostream>
using namespace std;
int main()
{
    int n,c;
    cout<<"Enter the Number\n";
    cin>>n;

    //c is assigned as the cube of the given number
    c=n*n*n;

    /* The last digit of a number is the remainder left behind when the
        number is divided by 10 and % operation is used to find the remainder 
        obtained when one number is divided by the other.*/
    //This if condition checks if both n and c have same last digits
    if((n%10)==(c%10))
    cout<<"The given number is Trimorphic";
    else
    cout<<"The given number is not Trimorphic";
    return 0;
}

/*     TEST CASES
    
    1)Input: 
            Enter the Number
            20
    2)Output:
            The given number is Trimorphic
    
     1)Input: 
            Enter the Number
            2
    2)Output:
            The given number is not Trimorphic

    Time Complexity:O(1)
    Space Complexity:O(1)

*/