Trimorphic Number - GeeksforGeeks

Given a number N, the task is to check whether the number is Trimorphic number or not. A number is called Trimorphic number if and only if its cube ends in the same digits as the number itself. In other words, number appears at the end of its cube.

Examples:

Input : 5 
Output : trimorphic 
Explanation: 5*5*5=125

Input : 24 
Output : trimorphic 
Explanation: 24*24*24=13824 

Input:10 
Output: not trimorphic 
Explanation: 10*10*10=1000

Recommended: Please solve it on PRACTICE first, before moving on to the solution.

Approach:

1. Store the cube of given number.
2. Loop until N becomes 0 as we have to match 
   all digits with its cube.
    i) Check if (n%10 == cube%10) i.e. last digit 
       of number = last digit of cube or not
        a) if not equal, return false.
    ii) Otherwise continue i.e. reduce number and 
        cube i.e. n = n/10 and cube = cube/10;
3- Return true if all digits matched.

Below is the implementation of the approach.

C++

// C++ program to check if a 
// number is Trimorphic 
#include <iostream> 
using namespace std; 
  
// Function to check Trimorphic number 
bool isTrimorphic(int N) 
{ 
    // Store the cube 
    int cube = N * N * N; 
  
    // Start Comparing digits 
    while (N > 0)  
    { 
        // Return false, if any digit 
        // of N doesn't match with 
        // its cube's digits from last 
        if (N % 10 != cube % 10) 
            return false; 
  
        // Reduce N and cube 
        N /= 10; 
        cube /= 10; 
    } 
  
    return true; 
} 
  
// Driver code 
int main() 
{ 
    int N = 24; 
  
    isTrimorphic(N) ? cout << "trimorphic" : 
                      cout << "not trimporphic"; 
  
    return 0; 
} 

Java

// Java program to check if a 
// number is Trimorphic 
   
class GFG { 
   
  // Function to check Trimorphic number 
    static boolean isTrimorphic(int N) 
    { 
        // Store the cube 
        int cube = N * N * N; 
   
        // Start Comparing digits 
        while (N > 0) { 
   
         // Return false, if any digit 
         // of N doesn't match with 
         // its cube's digits from last 
         if (N % 10 != cube % 10) 
            return false; 
   
            // Reduce N and cube 
            N /= 10; 
            cube /= 10; 
        } 
   
        return true; 
    } 
   
// Driver code 
public static void main(String[] args) 
    { 
        int N = 24; 
   
        if (isTrimorphic(N) == true) 
        System.out.println("trimorphic"); 
        else
        System.out.println("not trimorphic"); 
    } 
} 
   
//This article is contributed by prerna saini. 

Python3

# Python 3 program to check 
# if a number is Trimorphic 
  
   
# Function to check  
# Trimorphic number 
def isTrimorphic(N) : 
      
    # Store the cube 
    cube = N * N * N 
   
    # Start Comparing digits 
    while (N > 0) : 
         
        # Return false, if any digit 
        # of N doesn't match with 
        # its cube's digits from last 
        if (N % 10 != cube % 10) : 
            return False
   
        # Reduce N and cube 
        N = N // 10
        cube = cube // 10
      
    return True
  
  
# Driver code 
N = 24
if(isTrimorphic(N)) : 
    print("trimorphic") 
else : 
    print("not trimporphic") 
      
      
# This code is contributed by Nikita tiwari. 

C#

// C# program to check if  
// a number is Trimorphic 
using System; 
  
class GFG { 
  
// Function to check Trimorphic number 
    static bool isTrimorphic(int N) 
    { 
        // Store the cube 
        int cube = N * N * N; 
  
        // Start Comparing digits 
        while (N > 0) { 
  
        // Return false, if any digit 
        // of N doesn't match with 
        // its cube's digits from last 
        if (N % 10 != cube % 10) 
            return false; 
  
            // Reduce N and cube 
            N /= 10; 
            cube /= 10; 
        } 
  
        return true; 
    } 
  
// Driver code 
public static void Main() 
    { 
        int N = 24; 
  
        if (isTrimorphic(N) == true) 
        Console.Write("trimorphic"); 
        else
        Console.Write("not trimorphic"); 
    } 
} 
  
// This article is contributed  
// by Smitha Dinesh Semwal. 

PHP

<?php 
//PHP program to check if a 
// number is Trimorphic 
  
// Function to check Trimorphic 
// number 
function isTrimorphic($N) 
{ 
      
    // Store the cube 
    $cube = $N * $N * $N; 
  
    // Start Comparing digits 
    while ($N > 0)  
    { 
          
        // Return false, if any digit 
        // of N doesn't match with 
        // its cube's digits from last 
        if ($N % 10 != $cube % 10) 
            return -1; 
  
        // Reduce N and cube 
        $N /= 10; 
        $cube /= 10; 
    } 
  
    return 1; 
} 
  
// Driver code 
    $N = 24; 
  
    $r = isTrimorphic($N) ? "trimorphic" : 
                      "not trimporphic"; 
    echo $r; 
  
// This code is contributed by aj_36 
?> 

Output:

trimorphic

Find nth Trimorphic Number

Examples:

Input  : 10 
Output : 51

Input  : 11
Output : 75

C++

// CPP program to find nth  
// Trimorphic number  
#include <iostream> 
using namespace std; 
  
# define INT_MAX 2147483647 
// Functions to find nth 
// Trimorphic number 
bool checkTrimorphic(int num) 
{ 
    int cube = num * num * num; 
    // Comparing the digits 
    while(num > 0)  
    { 
        // Return false, if any digit  
        // of num doesn't match with 
        // its cube's digits from last 
        if (num % 10 != cube % 10) 
            return false; 
  
        // Reduce num and cube 
        num /= 10; 
        cube /= 10; 
    } 
    return true; 
} 
int nthTrimorphic(int n) 
{ 
      
    int count = 0; 
    // Check in max int size 
    for(int i = 0; i < INT_MAX; i++) 
    { 
        //check number is Trimorphic or not 
        if(checkTrimorphic(i)) 
            count++; 
              
        // if counter is equal to the 
        // n then return nth number 
        if(count == n) 
            return i; 
    } 
} 
  
// Driver code 
int main() 
{ 
    int n = 9; 
    cout<< nthTrimorphic(n); 
    return 0; 
} 
  
// This code is contributed by jaingyayak. 

Java

// Java program to find nth  
// Trimorphic number  
  
  
class GFG 
{ 
static int INT_MAX = 2147483647; 
  
// Functions to find nth 
// Trimorphic number 
static boolean checkTrimorphic(int num) 
{ 
    int cube = num * num * num; 
      
    // Comparing the digits 
    while(num > 0)  
    { 
        // Return false, if any  
        // digit of num doesn't  
        // match with its cube's  
        // digits from last 
        if (num % 10 != cube % 10) 
            return false; 
  
        // Reduce num and cube 
        num /= 10; 
        cube /= 10; 
    } 
    return true; 
} 
  
static int nthTrimorphic(int n) 
{ 
      
    int count = 0; 
      
    // Check in max int size 
    for(int i = 0; i < INT_MAX; i++) 
    { 
        // check number is 
        // Trimorphic or not 
        if(checkTrimorphic(i)) 
            count++; 
              
        // if counter is equal to  
        // the n then return nth number 
        if(count == n) 
            return i; 
    } 
    return -1; 
} 
  
// Driver code 
public static void main(String[] args) 
{ 
    int n = 9; 
    System.out.println(nthTrimorphic(n)); 
} 
} 
  
// This code is contributed by mits. 

Python3

# Python3 program to find  
# nth Trimorphic number  
import sys 
# Functions to find nth 
# Trimorphic number 
def checkTrimorphic(num): 
  
    cube = num * num * num 
      
    # Comparing the digits 
    while(num > 0): 
        # Return false, if any digit  
        # of num doesn't match with 
        # its cube's digits from last 
        if (num % 10 != cube % 10): 
            return False
  
        # Reduce num and cube 
        num = int(num / 10) 
        cube = int(cube / 10) 
    return True
  
  
def nthTrimorphic(n): 
    count = 0
      
    # Check in max int size 
    for i in range(sys.maxsize): 
        # check number is 
        # Trimorphic or not 
        if(checkTrimorphic(i)): 
            count+=1
              
        # if counter is equal to  
        # the n then return nth  
        # number 
        if(count == n): 
            return i 
  
  
  
# Driver code 
if __name__=='__main__': 
    n = 9
    print(nthTrimorphic(n)) 
  
# This code is contributed  
# by mits. 

C#

// C# program to find nth  
// Trimorphic number  
using System; 
  
class GFG 
{ 
static int INT_MAX = 2147483647; 
  
// Functions to find nth 
// Trimorphic number 
static bool checkTrimorphic(int num) 
{ 
    int cube = num * num * num; 
      
    // Comparing the digits 
    while(num > 0)  
    { 
        // Return false, if any  
        // digit of num doesn't  
        // match with its cube's  
        // digits from last 
        if (num % 10 != cube % 10) 
            return false; 
  
        // Reduce num and cube 
        num /= 10; 
        cube /= 10; 
    } 
    return true; 
} 
  
static int nthTrimorphic(int n) 
{ 
      
    int count = 0; 
      
    // Check in max int size 
    for(int i = 0; i < INT_MAX; i++) 
    { 
        // check number is 
        // Trimorphic or not 
        if(checkTrimorphic(i)) 
            count++; 
              
        // if counter is equal to  
        // the n then return nth number 
        if(count == n) 
            return i; 
    } 
    return -1; 
} 
  
// Driver code 
static int Main() 
{ 
    int n = 9; 
    Console.Write(nthTrimorphic(n)); 
    return 0; 
} 
} 
  
// This code is contributed by mits. 

PHP

<?php 
// PHP program to find  
// nth Trimorphic number  
  
// Functions to find nth 
// Trimorphic number 
function checkTrimorphic($num) 
{ 
    $cube = $num * $num * $num; 
      
    // Comparing the digits 
    while($num > 0)  
    { 
        // Return false, if any digit  
        // of num doesn't match with 
        // its cube's digits from last 
        if ($num % 10 != $cube % 10) 
            return false; 
  
        // Reduce num and cube 
        $num = (int)($num / 10); 
        $cube = (int)($cube / 10); 
    } 
    return true; 
} 
  
function nthTrimorphic($n) 
{ 
    $count = 0; 
      
    // Check in max int size 
    for($i = 0;  
        $i < PHP_INT_MAX; $i++) 
    { 
        // check number is 
        // Trimorphic or not 
        if(checkTrimorphic($i)) 
            $count++; 
              
        // if counter is equal to  
        // the n then return nth  
        // number 
        if($count == $n) 
            return $i; 
    } 
} 
  
// Driver code 
$n = 9; 
echo nthTrimorphic($n); 
  
// This code is contributed  
// by mits. 
?> 

Output:

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