Display all possible permutations of a number divisible by K

Here given code implementation process.

// C Program
// Display all possible permutations of a number divisible by K
#include <stdio.h>
#include <stdlib.h> // for atoi
#include <string.h> // strlen

// Swap two elements in given string
// i and j is location
void swap(char str[], int i, int j)
{
	char temp = str[i];
	str[i] = str[j];
	str[j] = temp;
}
void permutation(char str[], int index, int k, int n)
{
	if (index == n)
	{
      	// We consider n digit result.
        // So decimal numbers are not start to zero.
		if (str[0] != '0' && index > 1)
		{
			if (atoi(str) % k == 0)
			{   
             
				printf("\n %s", str);
			}
		}
		return;
	}
	for (int i = index; i < n; ++i)
	{
		//swap the array element
		swap(str, i, index);
		permutation(str, index + 1, k, n);
		//swap the array element
		swap(str, i, index);
	}
}
void divisiblePermutation(char num[], int k)
{
	// Get the size 
	int n = strlen(num);
	printf("\n Given num : %s", num);
	printf("\n Display k : %d", k);
	permutation(num, 0, k, n);
	printf("\n");
}
int main()
{
	// Given number1
	char num1[] = "5032";
	int k = 8;
	divisiblePermutation(num1, k);
	// Given number2
	char num2[] = "45261";
	k = 7;
	divisiblePermutation(num2, k);
	return 0;
}

Output

 Given num : 5032
 Display k : 8
 5032
 5320
 3520

 Given num : 45261
 Display k : 7
 45612
 42651
 41265
 54621
 52416
 52164
 25641
 26145
 21546
 65142
 64512
 61425
 15246
 15624
 16254
/*
    Java Program
    Display all possible permutations of a number divisible by K
*/
public class Divisibility
{
	// Swap two elements in given string
	// i and j is location
	public void swap(char[] str, int i, int j)
	{
		char temp = str[i];
		str[i] = str[j];
		str[j] = temp;
	}
	public void permutation(
      char[] str, int index, 
      int k, int n, String output)
	{
		if (index == n)
		{
			// We consider n digit result.
			// So decimal numbers are not start to zero.
			if (output.length() != 0 && output.charAt(0) != '0' && index > 1)
			{
				if (Integer.parseInt(output) % k == 0)
				{
					System.out.print("\n " + output);
				}
			}
			return;
		}
		for (int i = index; i < n; ++i)
		{
			//swap the array element
			swap(str, i, index);
			permutation(str, index + 1, k, n, output + str[index]);
			//swap the array element
			swap(str, i, index);
		}
	}
	public void divisiblePermutation(int num, int k)
	{
		// Converting int num to string
		String text = "" + num;
		// Convert a string into char array
		char[] str = text.toCharArray();
		// Get the size 
		int n = text.length();
		System.out.print("\n Given num : " + num);
		System.out.print("\n Display k : " + k);
		// Find permutation which is divisible by k
		permutation(str, 0, k, n, "");
		System.out.print("\n");
	}
	public static void main(String[] args)
	{
		Divisibility task = new Divisibility();
		// Given number1
		int num = 5032;
		int k = 8;
		task.divisiblePermutation(num, k);
		// Given number2
		num = 45261;
		k = 7;
		task.divisiblePermutation(num, k);
	}
}

Output

 Given num : 5032
 Display k : 8
 5032
 5320
 3520

 Given num : 45261
 Display k : 7
 45612
 42651
 41265
 54621
 52416
 52164
 25641
 26145
 21546
 65142
 64512
 61425
 15246
 15624
 16254
// Include header file
#include <iostream>
#include <string>
using namespace std;
/*
    C++ Program
    Display all possible permutations of a number divisible by K
*/
class Divisibility
{
	public:
		// Swap two elements in given string
		// i and j is location
		string swap(string str, int i, int j)
		{
			char temp = str[i];
			str[i] = str[j];
			str[j] = temp;
            return str;
		}
	void permutation(string str, int index, int k, int n, string output)
	{
		if (index == n)
		{
			// We consider n digit result.
			// So decimal numbers are not start to zero.
			if (output.length() != 0 && output[0] != '0' && index > 1)
			{
				if (stoi(output) % k == 0)
				{
					cout << "\n " << output;
				}
			}
			return;
		}
		for (int i = index; i < n; ++i)
		{
			//swap the array element
			str = this->swap(str, i, index);
			this->permutation(str, index + 1, 
                              k, n, output  + str[index]);
			//swap the array element
			str = this->swap(str, i, index);
		}
	}
	void divisiblePermutation(int num, int k)
	{
		// Converting int num to string
		string text = to_string(num);
		
		// Get the size 
		int n = text.length();
		cout << "\n Given num : " << num;
		cout << "\n Display k : " << k;
		// Find permutation which is divisible by k
		this->permutation(text, 0, k, n, "");
		cout << "\n";
	}
};
int main()
{
	Divisibility *task = new Divisibility();
	// Given number1
	int num = 5032;
	int k = 8;
	task->divisiblePermutation(num, k);
	// Given number2
	num = 45261;
	k = 7;
	task->divisiblePermutation(num, k);
	return 0;
}

Output

 Given num : 5032
 Display k : 8
 5032
 5320
 3520

 Given num : 45261
 Display k : 7
 45612
 42651
 41265
 54621
 52416
 52164
 25641
 26145
 21546
 65142
 64512
 61425
 15246
 15624
 16254
// Include namespace system
using System;
/*
    Csharp Program
    Display all possible permutations of a number divisible by K
*/
public class Divisibility
{
	// Swap two elements in given string
	// i and j is location
	public void swap(char[] str, int i, int j)
	{
		char temp = str[i];
		str[i] = str[j];
		str[j] = temp;
	}
	public void permutation(char[] str, int index, int k, 
                            int n, String output)
	{
		if (index == n)
		{
			// We consider n digit result.
			// So decimal numbers are not start to zero.
			if (output.Length != 0 && output[0] != '0' && index > 1)
			{
				if (Int32.Parse(output) % k == 0)
				{
					Console.Write("\n " + output);
				}
			}
			return;
		}
		for (int i = index; i < n; ++i)
		{
			//swap the array element
			this.swap(str, i, index);
			this.permutation(str, index + 1, k, n, output + str[index]);
			//swap the array element
			this.swap(str, i, index);
		}
	}
	public void divisiblePermutation(int num, int k)
	{
		// Converting int num to string
		String text = "" + num;
		// Convert a string into char array
		char[] str = text.ToCharArray();
		// Get the size 
		int n = text.Length;
		Console.Write("\n Given num : " + num);
		Console.Write("\n Display k : " + k);
		// Find permutation which is divisible by k
		this.permutation(str, 0, k, n, "");
		Console.Write("\n");
	}
	public static void Main(String[] args)
	{
		Divisibility task = new Divisibility();
		// Given number1
		int num = 5032;
		int k = 8;
		task.divisiblePermutation(num, k);
		// Given number2
		num = 45261;
		k = 7;
		task.divisiblePermutation(num, k);
	}
}

Output

 Given num : 5032
 Display k : 8
 5032
 5320
 3520

 Given num : 45261
 Display k : 7
 45612
 42651
 41265
 54621
 52416
 52164
 25641
 26145
 21546
 65142
 64512
 61425
 15246
 15624
 16254
package main

import "strconv"
import "fmt"
/*
    Go Program
    Display all possible permutations of a 
    number divisible by K
*/

// Swap two elements in given string
// i and j is location
func swap(str[]rune, i int, j int) {
	var temp  = str[i]
	str[i] = str[j]
	str[j] = temp
}
func permutation(str[]rune, index int, k int,
				 n int, output string) {
	if index == n {
		// We consider n digit result.
		// So decimal numbers are not start to zero.
		if len(output) != 0 && output[0] != '0' && index > 1 {
			var num , err = strconv.Atoi(output);
			if err == nil && (num % k) == 0 {
				fmt.Print("\n ", output)
			}
		}
		return
	}
	for i := index ; i < n ; i++ {
		//swap the array element
		swap(str, i, index)
		permutation(str, index + 1, k, n, 
			output + string(str[index]))
		//swap the array element
		swap(str, i, index)
	}
}
func divisiblePermutation(num, k int) {
	// Converting int num to string
	var text string = strconv.Itoa(num)


	// Convert a string into char array
	// Get the size 
	var n int = len(text)

	var str = []rune(text)
	fmt.Print("\n Given num : ", num)
	fmt.Print("\n Display k : ", k)
	// Find permutation which is divisible by k
	permutation(str, 0, k, n, "")
	fmt.Print("\n")
}
func main() {
	
	// Given number1
	var num int = 5032
	var k int = 8
	divisiblePermutation(num, k)
	// Given number2
	num = 45261
	k = 7
	divisiblePermutation(num, k)
}

Output

 Given num : 5032
 Display k : 8
 5032
 5320
 3520

 Given num : 45261
 Display k : 7
 45612
 42651
 41265
 54621
 52416
 52164
 25641
 26145
 21546
 65142
 64512
 61425
 15246
 15624
 16254
<?php
/*
    Php Program
    Display all possible permutations of a number divisible by K
*/
class Divisibility
{
	// Swap two elements in given string
	// i and j is location
	public function swap($str, $i, $j)
	{
		$temp = $str[$i];
		$str[$i] = $str[$j];
		$str[$j] = $temp;
      	return $str;
	}
	public	function permutation($str, $index, $k, $n, $output)
	{
		if ($index == $n)
		{
			// We consider n digit result.
			// So decimal numbers are not start to zero.
			if (strlen($output) != 0 && $output[0] != '0' && $index > 1)
			{
				if (((int)$output) % $k == 0)
				{
					echo("\n ".$output);
				}
			}
			return;
		}
		for ($i = $index; $i < $n; ++$i)
		{
			//swap the array element
			$str = $this->swap($str, $i, $index);
			$this->permutation($str, $index + 1, $k, $n,
                               $output.strval($str[$index]));
			//swap the array element
			$str = $this->swap($str, $i, $index);
		}
	}
	public	function divisiblePermutation($num, $k)
	{
		// Converting int num to string
		$text = "".strval($num);
		// Get the size 
		$n = strlen($text);
		echo("\n Given num : ".$num);
		echo("\n Display k : ".$k);
		// Find permutation which is divisible by k
		$this->permutation($text, 0, $k, $n, "");
		echo("\n");
	}
}

function main()
{
	$task = new Divisibility();
	// Given number1
	$num = 5032;
	$k = 8;
	$task->divisiblePermutation($num, $k);
	// Given number2
	$num = 45261;
	$k = 7;
	$task->divisiblePermutation($num, $k);
}
main();

Output

 Given num : 5032
 Display k : 8
 5032
 5320
 3520

 Given num : 45261
 Display k : 7
 45612
 42651
 41265
 54621
 52416
 52164
 25641
 26145
 21546
 65142
 64512
 61425
 15246
 15624
 16254
/*
    Node JS Program
    Display all possible permutations of a number divisible by K
*/
class Divisibility
{
	// Swap two elements in given string
	// i and j is location
	swap(str, i, j)
	{
		var temp = str[i];
		str[i] = str[j];
		str[j] = temp;
	}
	permutation(str, index, k, n, output)
	{
		if (index == n)
		{
			// We consider n digit result.
			// So decimal numbers are not start to zero.
			if (output.length != 0 && output.charAt(0) != '0' && index > 1)
			{
				if (parseInt(output) % k == 0)
				{
					process.stdout.write("\n " + output);
				}
			}
			return;
		}
		for (var i = index; i < n; ++i)
		{
			//swap the array element
			this.swap(str, i, index);
			this.permutation(str, index + 1, k, n, output + str[index]);
			//swap the array element
			this.swap(str, i, index);
		}
	}
	divisiblePermutation(num, k)
	{
		// Converting int num to string
		var text = "" + num;
		// Convert a string into char array
		var str = (text).split('');
		// Get the size 
		var n = text.length;
		process.stdout.write("\n Given num : " + num);
		process.stdout.write("\n Display k : " + k);
		// Find permutation which is divisible by k
		this.permutation(str, 0, k, n, "");
		process.stdout.write("\n");
	}
}

function main()
{
	var task = new Divisibility();
	// Given number1
	var num = 5032;
	var k = 8;
	task.divisiblePermutation(num, k);
	// Given number2
	num = 45261;
	k = 7;
	task.divisiblePermutation(num, k);
}
main();

Output

 Given num : 5032
 Display k : 8
 5032
 5320
 3520

 Given num : 45261
 Display k : 7
 45612
 42651
 41265
 54621
 52416
 52164
 25641
 26145
 21546
 65142
 64512
 61425
 15246
 15624
 16254
#    Python 3 Program
#    Display all possible permutations of a number divisible by K
class Divisibility :
	#  Swap two elements in given string
	#  i and j is location
	def swap(self, s, i, j) :
		temp = s[i]
		s[i] = s[j]
		s[j] = temp
	
	def permutation(self, s, index, k, n, output) :
		if (index == n) :
			#  We consider n digit result.
			#  So decimal numbers are not start to zero.
			if (len(output) != 0 and output[0] != '0'
				and index > 1) :
				if (int(output) % k == 0) :
					print("\n ", output, end = "")
				
			
			return
		
		i = index
		while (i < n) :
			# swap the list element
			self.swap(s, i, index)
			self.permutation(s, index + 1, k, n, output + str(s[index]))
			# swap the list element
			self.swap(s, i, index)
			i += 1
		
	
	def divisiblePermutation(self, num, k) :
		#  Converting int num to string
		text =  str(num)
		#  Convert a string into char list
		s = list(text)
		#  Get the size 
		n = len(text)
		print("\n Given num : ", num, end = "")
		print("\n Display k : ", k, end = "")
		#  Find permutation which is divisible by k
		self.permutation(s, 0, k, n, "")
		print(end = "\n")
	

def main() :
	task = Divisibility()
	#  Given number1
	num = 5032
	k = 8
	task.divisiblePermutation(num, k)
	#  Given number2
	num = 45261
	k = 7
	task.divisiblePermutation(num, k)

if __name__ == "__main__": main()

Output

 Given num :  5032
 Display k :  8
  5032
  5320
  3520

 Given num :  45261
 Display k :  7
  45612
  42651
  41265
  54621
  52416
  52164
  25641
  26145
  21546
  65142
  64512
  61425
  15246
  15624
  16254
#    Ruby Program
#    Display all possible permutations of a number divisible by K
class Divisibility 
	#  Swap two elements in given string
	#  i and j is location
	def swap(str, i, j) 
		temp = str[i]
		str[i] = str[j]
		str[j] = temp
		return str
	end

	def permutation(str, index, k, n, output) 
		if (index == n) 
			#  We consider n digit result.
			#  So decimal numbers are not start to zero.
			if (output.length != 0 && output[0] != '0' && index > 1) 
				if (Integer(output) % k == 0) 
					print("\n ", output)
				end

			end

			return
		end

		i = index
		while (i < n) 
			# swap the array element
			str = self.swap(str, i, index)
			self.permutation(str, index + 1, k, n, output + str[index].to_s)
			# swap the array element
			str = self.swap(str, i, index)
			i += 1
		end

	end

	def divisiblePermutation(num, k) 
		#  Converting int num to string
		text = ""+ num.to_s
		#  Convert a string into char array
		str = text.chars
		#  Get the size 
		n = text.length
		print("\n Given num : ", num)
		print("\n Display k : ", k)
		#  Find permutation which is divisible by k
		self.permutation(str, 0, k, n, "")
		print("\n")
	end

end

def main() 
	task = Divisibility.new()
	#  Given number1
	num = 5032
	k = 8
	task.divisiblePermutation(num, k)
	#  Given number2
	num = 45261
	k = 7
	task.divisiblePermutation(num, k)
end

main()

Output

 Given num : 5032
 Display k : 8
 5032
 5320
 3520

 Given num : 45261
 Display k : 7
 45612
 42651
 41265
 54621
 52416
 52164
 25641
 26145
 21546
 65142
 64512
 61425
 15246
 15624
 16254
import scala.collection.mutable._;
/*
    Scala Program
    Display all possible permutations of a number divisible by K
*/
class Divisibility()
{
	// Swap two elements in given string
	// i and j is location
	def swap(str: Array[Char], i: Int, j: Int): Unit = {
		var temp: Char = str(i);
		str(i) = str(j);
		str(j) = temp;
	}
	def permutation(str: Array[Char], 
      index: Int, k: Int, n: Int, output: String): Unit = {
		if (index == n)
		{
			// We consider n digit result.
			// So decimal numbers are not start to zero.
			if (output.length() != 0 && 
                output.charAt(0) != '0' && index > 1)
			{
				if (Integer.parseInt(output) % k == 0)
				{
					print("\n " + output);
				}
			}
			return;
		}
		var i: Int = index;
		while (i < n)
		{
			//swap the array element
			swap(str, i, index);
			permutation(str, index + 1, k, 
                        n, output + str(index).toString());
			//swap the array element
			swap(str, i, index);
			i += 1;
		}
	}
	def divisiblePermutation(num: Int, k: Int): Unit = {
		// Converting int num to string
		var text: String = "" + num.toString();
		// Convert a string into char array
		var str: Array[Char] = text.toCharArray();
		// Get the size 
		var n: Int = text.length();
		print("\n Given num : " + num);
		print("\n Display k : " + k);
		// Find permutation which is divisible by k
		permutation(str, 0, k, n, "");
		print("\n");
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var task: Divisibility = new Divisibility();
		// Given number1
		var num: Int = 5032;
		var k: Int = 8;
		task.divisiblePermutation(num, k);
		// Given number2
		num = 45261;
		k = 7;
		task.divisiblePermutation(num, k);
	}
}

Output

 Given num : 5032
 Display k : 8
 5032
 5320
 3520

 Given num : 45261
 Display k : 7
 45612
 42651
 41265
 54621
 52416
 52164
 25641
 26145
 21546
 65142
 64512
 61425
 15246
 15624
 16254
import Foundation;
/*
    Swift 4 Program
    Display all possible permutations of a number divisible by K
*/
class Divisibility
{
	// Swap two elements in given string
	// i and j is location
	func swap(_ str: inout[Character], _ i: Int, _ j: Int)
	{
		let temp: Character = str[i];
		str[i] = str[j];
		str[j] = temp;
	}
	func permutation(_ str: inout[Character], 
      _ index: Int, _ k: Int, 
        _ n: Int, _ output: String)
	{
		if (index == n)
		{
			// We consider n digit result.
			// So decimal numbers are not start to zero.
			if (output.count  != 0 && Array(output)[0]  != "0" && index > 1)
			{
				if (Int(output)! % k == 0)
				{
					print("\n ", output, terminator: "");
				}
			}
			return;
		}
		var i: Int = index;
		while (i < n)
		{
			//swap the array element
			self.swap(&str, i, index);
			self.permutation(&str, index + 1, 
                             k, n, output + String(str[index]));
			//swap the array element
			self.swap(&str, i, index);
			i += 1;
		}
	}
	func divisiblePermutation(_ num: Int, _ k: Int)
	{
		// Converting int num to string
		let text: String =  String(num);
		// Convert a string into char array
		var str: [Character] = Array(text);
		// Get the size 
		let n: Int = text.count;
		print("\n Given num : ", num, terminator: "");
		print("\n Display k : ", k, terminator: "");
		// Find permutation which is divisible by k
		self.permutation(&str, 0, k, n, "");
		print(terminator: "\n");
	}
}
func main()
{
	let task: Divisibility = Divisibility();
	// Given number1
	var num: Int = 5032;
	var k: Int = 8;
	task.divisiblePermutation(num, k);
	// Given number2
	num = 45261;
	k = 7;
	task.divisiblePermutation(num, k);
}
main();

Output

 Given num :  5032
 Display k :  8
  5032
  5320
  3520

 Given num :  45261
 Display k :  7
  45612
  42651
  41265
  54621
  52416
  52164
  25641
  26145
  21546
  65142
  64512
  61425
  15246
  15624
  16254
/*
    Kotlin Program
    Display all possible permutations of a number divisible by K
*/
class Divisibility
{
	// Swap two elements in given string
	// i and j is location
	fun swap(str: Array < Char > , i: Int, j: Int): Unit
	{
		val temp: Char = str[i];
		str[i] = str[j];
		str[j] = temp;
	}
	fun permutation(str: Array < Char > , 
                    index: Int, k: Int, n: Int, 
                    output: String): Unit
	{
		if (index == n)
		{
			// We consider n digit result.
			// So decimal numbers are not start to zero.
			if (output.length != 0 && 
                output.get(0) != '0' && index > 1)
			{
				if (output.toInt() % k == 0)
				{
					print("\n " + output);
				}
			}
			return;
		}
		var i: Int = index;
		while (i < n)
		{
			//swap the array element
			this.swap(str, i, index);
			this.permutation(str, index + 1, k, n, 
                             output + str[index].toString());
			//swap the array element
			this.swap(str, i, index);
			i += 1;
		}
	}
	fun divisiblePermutation(num: Int, k: Int): Unit
	{
		// Converting int num to string
		val text: String = "" + num.toString();
		// Convert a string into char array
		val str: Array < Char > = text.toCharArray().toTypedArray();
		// Get the size 
		val n: Int = text.length;
		print("\n Given num : " + num);
		print("\n Display k : " + k);
		// Find permutation which is divisible by k
		this.permutation(str, 0, k, n, "");
		print("\n");
	}
}
fun main(args: Array < String > ): Unit
{
	val task: Divisibility = Divisibility();
	// Given number1
	var num: Int = 5032;
	var k: Int = 8;
	task.divisiblePermutation(num, k);
	// Given number2
	num = 45261;
	k = 7;
	task.divisiblePermutation(num, k);
}

Output

 Given num : 5032
 Display k : 8
 5032
 5320
 3520

 Given num : 45261
 Display k : 7
 45612
 42651
 41265
 54621
 52416
 52164
 25641
 26145
 21546
 65142
 64512
 61425
 15246
 15624
 16254


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