三态数

给定数字N，任务是检查数字是否为Trimorphic数字。当且仅当其多维数据集以与数字本身相同的数字结尾时，该数字才称为三态数字。换句话说，数字出现在其多维数据集的末尾。

例子：

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 

方法：

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.

下面是该方法的实现。

C++

// C++ program to check if a
// number is Trimorphic
#include 
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

 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
?>

输出：

trimorphic

查找第n个三态数

例子：

Input  : 10 
Output : 51

Input  : 11
Output : 75

C++

// CPP program to find nth 
// Trimorphic number 
#include 
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.

的PHP

 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.
?>

输出：

49