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# Generate all palindromic subsequence of length N and K Even natural number

Here given code implementation process.

``````// C Program
// Generate all palindromic subsequence of
// length N and K Even natural number
#include <stdio.h>

// Display calculated result
void printResult(int result[], int n)
{
for (int i = 0; i < n; i++)
{
printf("%d ", result[i]);
}
printf("\n ");
}
void sequence(int result[], int index, int n, int k)
{
if (index == n / 2)
{
if ((n % 2) != 0)
{
// Handles the request of odd length palindrome sequence
for (int i = 2; i <= k *2; i += 2)
{
result[index] = i;
printResult(result, n);
}
}
else
{
printResult(result, n);
}
}
else if (index > n / 2)
{
return;
}
else
{
for (int i = 2; i <= k *2; i += 2)
{
// Set the value of boundary element is to zero
result[index] = i;
result[(n - 1) - index] = i;
sequence(result, index + 1, n, k);
}
}
}
void palindrome(int n, int k)
{
if (n <= 0 || k > n)
{
return;
}
printf("\n Given Length : %d", n);
printf("\n K : %d", k);
printf("\n Initial K Even Number [");
int i = 2;
while (i <= k *2)
{
printf(" %d ", i);
i += 2;
}
printf("]\n ");
// Auxiliary array which is collect result
int result[n];
sequence(result, 0, n, k);
}
int main()
{
int n = 6;
int k = 3;
/*
n = 6
k = 3

[2,4,6] 3 Even natural number
-------------------------------
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6

---------------
*/
palindrome(n, k);
return 0;
}``````

#### Output

`````` Given Length : 6
K : 3
Initial K Even Number [ 2  4  6 ]
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
``````
``````// Java program for
// Generate all palindromic subsequence of
// length N and K Even natural number
public class Combination
{
// Display calculated result
public void printResult(int[] result, int n)
{
for (int i = 0; i < n; i++)
{
System.out.print(" " + result[i]);
}
System.out.print("\n ");
}
public void sequence(int[] result, int index, int n, int k)
{
if (index == n / 2)
{
if ((n % 2) != 0)
{
// Handles the request of odd length palindrome sequence
for (int i = 2; i <= k * 2; i += 2)
{
result[index] = i;
printResult(result, n);
}
}
else
{
printResult(result, n);
}
}
else if (index > n / 2)
{
return;
}
else
{
for (int i = 2; i <= k * 2; i += 2)
{
// Set the value of boundary element is to zero
result[index] = i;
result[(n - 1) - index] = i;
sequence(result, index + 1, n, k);
}
}
}
public void palindrome(int n, int k)
{
if (n <= 0 || k > n)
{
return;
}
System.out.print("\n Given Length : " + n);
System.out.print("\n K : " + k);
System.out.print("\n Initial K Even Number [");
int i = 2;
while (i <= k * 2)
{
System.out.print(" " + i + " ");
i += 2;
}
System.out.print("]\n ");
// Auxiliary array which is collect result
int[] result = new int[n];
sequence(result, 0, n, k);
}
public static void main(String[] args)
{
int n = 6;
int k = 3;
/*
n = 6
k = 3

[2,4,6] 3 Even natural number
----------------------
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
---------------
*/
}
}``````

#### Output

`````` Given Length : 6
K : 3
Initial K Even Number [ 2  4  6 ]
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
``````
``````// Include header file
#include <iostream>

using namespace std;
// C++ program for
// Generate all palindromic subsequence of
// length N and K Even natural number
class Combination
{
public:
// Display calculated result
void printResult(int result[], int n)
{
for (int i = 0; i < n; i++)
{
cout << " " << result[i];
}
cout << "\n ";
}
void sequence(int result[], int index, int n, int k)
{
if (index == n / 2)
{
if ((n % 2) != 0)
{
// Handles the request of odd length palindrome sequence
for (int i = 2; i <= k *2; i += 2)
{
result[index] = i;
this->printResult(result, n);
}
}
else
{
this->printResult(result, n);
}
}
else if (index > n / 2)
{
return;
}
else
{
for (int i = 2; i <= k *2; i += 2)
{
// Set the value of boundary element is to zero
result[index] = i;
result[(n - 1) - index] = i;
this->sequence(result, index + 1, n, k);
}
}
}
void palindrome(int n, int k)
{
if (n <= 0 || k > n)
{
return;
}
cout << "\n Given Length : " << n;
cout << "\n K : " << k;
cout << "\n Initial K Even Number [";
int i = 2;
while (i <= k *2)
{
cout << " " << i << " ";
i += 2;
}
cout << "]\n ";
// Auxiliary array which is collect result
int result[n];
this->sequence(result, 0, n, k);
}
};
int main()
{
int n = 6;
int k = 3;
/*
n = 6
k = 3
[2,4,6] 3 Even natural number
----------------------
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
---------------
*/
return 0;
}``````

#### Output

`````` Given Length : 6
K : 3
Initial K Even Number [ 2  4  6 ]
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
``````
``````// Include namespace system
using System;
// Csharp program for
// Generate all palindromic subsequence of
// length N and K Even natural number
public class Combination
{
// Display calculated result
public void printResult(int[] result, int n)
{
for (int i = 0; i < n; i++)
{
Console.Write(" " + result[i]);
}
Console.Write("\n ");
}
public void sequence(int[] result, int index, int n, int k)
{
if (index == n / 2)
{
if ((n % 2) != 0)
{
// Handles the request of odd length palindrome sequence
for (int i = 2; i <= k * 2; i += 2)
{
result[index] = i;
this.printResult(result, n);
}
}
else
{
this.printResult(result, n);
}
}
else if (index > n / 2)
{
return;
}
else
{
for (int i = 2; i <= k * 2; i += 2)
{
// Set the value of boundary element is to zero
result[index] = i;
result[(n - 1) - index] = i;
this.sequence(result, index + 1, n, k);
}
}
}
public void palindrome(int n, int k)
{
if (n <= 0 || k > n)
{
return;
}
Console.Write("\n Given Length : " + n);
Console.Write("\n K : " + k);
Console.Write("\n Initial K Even Number [");
int i = 2;
while (i <= k * 2)
{
Console.Write(" " + i + " ");
i += 2;
}
Console.Write("]\n ");
// Auxiliary array which is collect result
int[] result = new int[n];
this.sequence(result, 0, n, k);
}
public static void Main(String[] args)
{
int n = 6;
int k = 3;
/*
n = 6
k = 3
[2,4,6] 3 Even natural number
----------------------
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
---------------
*/
}
}``````

#### Output

`````` Given Length : 6
K : 3
Initial K Even Number [ 2  4  6 ]
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
``````
``````package main
import "fmt"
// Go program for
// Generate all palindromic subsequence of
// length N and K Even natural number
type Combination struct {}
func getCombination() * Combination {
var me *Combination = &Combination {}
return me
}
// Display calculated result
func(this Combination) printResult(result[] int, n int) {
for i := 0 ; i < n ; i++ {
fmt.Print(" ", result[i])
}
fmt.Print("\n ")
}
func(this Combination) sequence(result[] int,
index int, n int, k int) {
if index == n / 2 {
if (n % 2) != 0 {
// Handles the request of odd length palindrome sequence
for i := 2 ; i <= k * 2 ; i += 2 {
result[index] = i
this.printResult(result, n)
}
} else {
this.printResult(result, n)
}
} else if index > n / 2 {
return
} else {
for i := 2 ; i <= k * 2 ; i += 2 {
// Set the value of boundary element is to zero
result[index] = i
result[(n - 1) - index] = i
this.sequence(result, index + 1, n, k)
}
}
}
func(this Combination) palindrome(n, k int) {
if n <= 0 || k > n {
return
}
fmt.Print("\n Given Length : ", n)
fmt.Print("\n K : ", k)
fmt.Print("\n Initial K Even Number [")
var i int = 2
for (i <= k * 2) {
fmt.Print(" ", i, " ")
i += 2
}
fmt.Print("]\n ")
// Auxiliary array which is collect result
var result = make([] int, n)
this.sequence(result, 0, n, k)
}
func main() {
var task * Combination = getCombination()
var n int = 6
var k int = 3
/*
n = 6
k = 3
[2,4,6] 3 Even natural number
----------------------
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
---------------
*/
}``````

#### Output

`````` Given Length : 6
K : 3
Initial K Even Number [ 2  4  6 ]
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
``````
``````<?php
// Php program for
// Generate all palindromic subsequence of
// length N and K Even natural number
class Combination
{
// Display calculated result
public	function printResult(\$result, \$n)
{
for (\$i = 0; \$i < \$n; \$i++)
{
echo(" ".\$result[\$i]);
}
echo("\n ");
}
public	function sequence(\$result, \$index, \$n, \$k)
{
if (\$index == (int)(\$n / 2))
{
if ((\$n % 2) != 0)
{
// Handles the request of odd length palindrome sequence
for (\$i = 2; \$i <= \$k * 2; \$i += 2)
{
\$result[\$index] = \$i;
\$this->printResult(\$result, \$n);
}
}
else
{
\$this->printResult(\$result, \$n);
}
}
else if (\$index > (int)(\$n / 2))
{
return;
}
else
{
for (\$i = 2; \$i <= \$k * 2; \$i += 2)
{
// Set the value of boundary element is to zero
\$result[\$index] = \$i;
\$result[(\$n - 1) - \$index] = \$i;
\$this->sequence(\$result, \$index + 1, \$n, \$k);
}
}
}
public	function palindrome(\$n, \$k)
{
if (\$n <= 0 || \$k > \$n)
{
return;
}
echo("\n Given Length : ".\$n);
echo("\n K : ".\$k);
echo("\n Initial K Even Number [");
\$i = 2;
while (\$i <= \$k * 2)
{
echo(" ".\$i.
" ");
\$i += 2;
}
echo("]\n ");
// Auxiliary array which is collect result
\$result = array_fill(0, \$n, 0);
\$this->sequence(\$result, 0, \$n, \$k);
}
}

function main()
{
\$n = 6;
\$k = 3;
/*
n = 6
k = 3
[2,4,6] 3 Even natural number
----------------------
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
---------------
*/
}
main();``````

#### Output

`````` Given Length : 6
K : 3
Initial K Even Number [ 2  4  6 ]
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
``````
``````// Node JS program for
// Generate all palindromic subsequence of
// length N and K Even natural number
class Combination
{
// Display calculated result
printResult(result, n)
{
for (var i = 0; i < n; i++)
{
process.stdout.write(" " + result[i]);
}
process.stdout.write("\n ");
}
sequence(result, index, n, k)
{
if (index == parseInt(n / 2))
{
if ((n % 2) != 0)
{
// Handles the request of odd length palindrome sequence
for (var i = 2; i <= k * 2; i += 2)
{
result[index] = i;
this.printResult(result, n);
}
}
else
{
this.printResult(result, n);
}
}
else if (index > parseInt(n / 2))
{
return;
}
else
{
for (var i = 2; i <= k * 2; i += 2)
{
// Set the value of boundary element is to zero
result[index] = i;
result[(n - 1) - index] = i;
this.sequence(result, index + 1, n, k);
}
}
}
palindrome(n, k)
{
if (n <= 0 || k > n)
{
return;
}
process.stdout.write("\n Given Length : " + n);
process.stdout.write("\n K : " + k);
process.stdout.write("\n Initial K Even Number [");
var i = 2;
while (i <= k * 2)
{
process.stdout.write(" " + i + " ");
i += 2;
}
process.stdout.write("]\n ");
// Auxiliary array which is collect result
var result = Array(n).fill(0);
this.sequence(result, 0, n, k);
}
}

function main()
{
var n = 6;
var k = 3;
/*
n = 6
k = 3
[2,4,6] 3 Even natural number
----------------------
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
---------------
*/
}
main();``````

#### Output

`````` Given Length : 6
K : 3
Initial K Even Number [ 2  4  6 ]
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
``````
``````#  Python 3 program for
#  Generate all palindromic subsequence of
#  length N and K Even natural number
class Combination :
#  Display calculated result
def printResult(self, result, n) :
i = 0
while (i < n) :
print(" ", result[i], end = "")
i += 1

print("\n ", end = "")

def sequence(self, result, index, n, k) :
if (index == int(n / 2)) :
if ((n % 2) != 0) :
i = 2
#  Handles the request of odd length palindrome sequence
while (i <= k * 2) :
result[index] = i
self.printResult(result, n)
i += 2

else :
self.printResult(result, n)

elif (index > int(n / 2)) :
return
else :
i = 2
while (i <= k * 2) :
#  Set the value of boundary element is to zero
result[index] = i
result[(n - 1) - index] = i
self.sequence(result, index + 1, n, k)
i += 2

def palindrome(self, n, k) :
if (n <= 0 or k > n) :
return

print("\n Given Length : ", n, end = "")
print("\n K : ", k, end = "")
print("\n Initial K Even Number [", end = "")
i = 2
while (i <= k * 2) :
print(" ", i ," ", end = "")
i += 2

print("]\n ", end = "")
#  Auxiliary list which is collect result
result = [0] * (n)
self.sequence(result, 0, n, k)

def main() :
n = 6
k = 3
#    n = 6
#    k = 3
#    [2,4,6] 3 Even natural number
#    ----------------------
#    2 2 2 2 2 2
#    2 2 4 4 2 2
#    2 2 6 6 2 2
#    2 4 2 2 4 2
#    2 4 4 4 4 2
#    2 4 6 6 4 2
#    2 6 2 2 6 2
#    2 6 4 4 6 2
#    2 6 6 6 6 2
#    4 2 2 2 2 4
#    4 2 4 4 2 4
#    4 2 6 6 2 4
#    4 4 2 2 4 4
#    4 4 4 4 4 4
#    4 4 6 6 4 4
#    4 6 2 2 6 4
#    4 6 4 4 6 4
#    4 6 6 6 6 4
#    6 2 2 2 2 6
#    6 2 4 4 2 6
#    6 2 6 6 2 6
#    6 4 2 2 4 6
#    6 4 4 4 4 6
#    6 4 6 6 4 6
#    6 6 2 2 6 6
#    6 6 4 4 6 6
#    6 6 6 6 6 6
#    ---------------

if __name__ == "__main__": main()``````

#### Output

`````` Given Length :  6
K :  3
Initial K Even Number [  2    4    6  ]
2  2  2  2  2  2
2  2  4  4  2  2
2  2  6  6  2  2
2  4  2  2  4  2
2  4  4  4  4  2
2  4  6  6  4  2
2  6  2  2  6  2
2  6  4  4  6  2
2  6  6  6  6  2
4  2  2  2  2  4
4  2  4  4  2  4
4  2  6  6  2  4
4  4  2  2  4  4
4  4  4  4  4  4
4  4  6  6  4  4
4  6  2  2  6  4
4  6  4  4  6  4
4  6  6  6  6  4
6  2  2  2  2  6
6  2  4  4  2  6
6  2  6  6  2  6
6  4  2  2  4  6
6  4  4  4  4  6
6  4  6  6  4  6
6  6  2  2  6  6
6  6  4  4  6  6
6  6  6  6  6  6
``````
``````#  Ruby program for
#  Generate all palindromic subsequence of
#  length N and K Even natural number
class Combination
#  Display calculated result
def printResult(result, n)
i = 0
while (i < n)
print(" ", result[i])
i += 1
end

print("\n ")
end

def sequence(result, index, n, k)
if (index == n / 2)
if ((n % 2) != 0)
i = 2
#  Handles the request of odd length palindrome sequence
while (i <= k * 2)
result[index] = i
self.printResult(result, n)
i += 2
end

else

self.printResult(result, n)
end

elsif (index > n / 2)
return
else

i = 2
while (i <= k * 2)
#  Set the value of boundary element is to zero
result[index] = i
result[(n - 1) - index] = i
self.sequence(result, index + 1, n, k)
i += 2
end

end

end

def palindrome(n, k)
if (n <= 0 || k > n)
return
end

print("\n Given Length : ", n)
print("\n K : ", k)
print("\n Initial K Even Number [")
i = 2
while (i <= k * 2)
print(" ", i ," ")
i += 2
end

print("]\n ")
#  Auxiliary array which is collect result
result = Array.new(n) {0}
self.sequence(result, 0, n, k)
end

end

def main()
n = 6
k = 3
#    n = 6
#    k = 3
#    [2,4,6] 3 Even natural number
#    ----------------------
#    2 2 2 2 2 2
#    2 2 4 4 2 2
#    2 2 6 6 2 2
#    2 4 2 2 4 2
#    2 4 4 4 4 2
#    2 4 6 6 4 2
#    2 6 2 2 6 2
#    2 6 4 4 6 2
#    2 6 6 6 6 2
#    4 2 2 2 2 4
#    4 2 4 4 2 4
#    4 2 6 6 2 4
#    4 4 2 2 4 4
#    4 4 4 4 4 4
#    4 4 6 6 4 4
#    4 6 2 2 6 4
#    4 6 4 4 6 4
#    4 6 6 6 6 4
#    6 2 2 2 2 6
#    6 2 4 4 2 6
#    6 2 6 6 2 6
#    6 4 2 2 4 6
#    6 4 4 4 4 6
#    6 4 6 6 4 6
#    6 6 2 2 6 6
#    6 6 4 4 6 6
#    6 6 6 6 6 6
#    ---------------
end

main()``````

#### Output

`````` Given Length : 6
K : 3
Initial K Even Number [ 2  4  6 ]
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
``````
``````// Scala program for
// Generate all palindromic subsequence of
// length N and K Even natural number
class Combination()
{
// Display calculated result
def printResult(result: Array[Int], n: Int): Unit = {
var i: Int = 0;
while (i < n)
{
print(" " + result(i));
i += 1;
}
print("\n ");
}
def sequence(result: Array[Int],
index: Int,
n: Int,
k: Int): Unit = {
if (index == n / 2)
{
if ((n % 2) != 0)
{
var i: Int = 2;
// Handles the request of odd length palindrome sequence
while (i <= k * 2)
{
result(index) = i;
printResult(result, n);
i += 2;
}
}
else
{
printResult(result, n);
}
}
else if (index > n / 2)
{
return;
}
else
{
var i: Int = 2;
while (i <= k * 2)
{
// Set the value of boundary element is to zero
result(index) = i;
result((n - 1) - index) = i;
sequence(result, index + 1, n, k);
i += 2;
}
}
}
def palindrome(n: Int, k: Int): Unit = {
if (n <= 0 || k > n)
{
return;
}
print("\n Given Length : " + n);
print("\n K : " + k);
print("\n Initial K Even Number [");
var i: Int = 2;
while (i <= k * 2)
{
print(" " + i + " ");
i += 2;
}
print("]\n ");
// Auxiliary array which is collect result
var result: Array[Int] = Array.fill[Int](n)(0);
sequence(result, 0, n, k);
}
}
object Main
{
def main(args: Array[String]): Unit = {
var task: Combination = new Combination();
var n: Int = 6;
var k: Int = 3;
/*
n = 6
k = 3
[2,4,6] 3 Even natural number
----------------------
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
---------------
*/
}
}``````

#### Output

`````` Given Length : 6
K : 3
Initial K Even Number [ 2  4  6 ]
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
``````
``````// Swift 4 program for
// Generate all palindromic subsequence of
// length N and K Even natural number
class Combination
{
// Display calculated result
func printResult(_ result: [Int], _ n: Int)
{
var i: Int = 0;
while (i < n)
{
print(" ", result[i], terminator: "");
i += 1;
}
print("\n ", terminator: "");
}
func sequence(_ result: inout[Int],
_ index: Int,
_ n: Int,
_ k: Int)
{
if (index == n / 2)
{
if ((n % 2)  != 0)
{
var i: Int = 2;
// Handles the request of odd length palindrome sequence
while (i <= k * 2)
{
result[index] = i;
self.printResult(result, n);
i += 2;
}
}
else
{
self.printResult(result, n);
}
}
else if (index > n / 2)
{
return;
}
else
{
var i: Int = 2;
while (i <= k * 2)
{
// Set the value of boundary element is to zero
result[index] = i;
result[(n - 1) - index] = i;
self.sequence(&result, index + 1, n, k);
i += 2;
}
}
}
func palindrome(_ n: Int, _ k: Int)
{
if (n <= 0 || k > n)
{
return;
}
print("\n Given Length : ", n, terminator: "");
print("\n K : ", k, terminator: "");
print("\n Initial K Even Number [", terminator: "");
var i: Int = 2;
while (i <= k * 2)
{
print(" ", i ," ", terminator: "");
i += 2;
}
print("]\n ", terminator: "");
// Auxiliary array which is collect result
var result: [Int] = Array(repeating: 0, count: n);
self.sequence(&result, 0, n, k);
}
}
func main()
{
let n: Int = 6;
let k: Int = 3;
/*
n = 6
k = 3
[2,4,6] 3 Even natural number
----------------------
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
---------------
*/
}
main();``````

#### Output

`````` Given Length :  6
K :  3
Initial K Even Number [  2    4    6  ]
2  2  2  2  2  2
2  2  4  4  2  2
2  2  6  6  2  2
2  4  2  2  4  2
2  4  4  4  4  2
2  4  6  6  4  2
2  6  2  2  6  2
2  6  4  4  6  2
2  6  6  6  6  2
4  2  2  2  2  4
4  2  4  4  2  4
4  2  6  6  2  4
4  4  2  2  4  4
4  4  4  4  4  4
4  4  6  6  4  4
4  6  2  2  6  4
4  6  4  4  6  4
4  6  6  6  6  4
6  2  2  2  2  6
6  2  4  4  2  6
6  2  6  6  2  6
6  4  2  2  4  6
6  4  4  4  4  6
6  4  6  6  4  6
6  6  2  2  6  6
6  6  4  4  6  6
6  6  6  6  6  6
``````
``````// Kotlin program for
// Generate all palindromic subsequence of
// length N and K Even natural number
class Combination
{
// Display calculated result
fun printResult(result: Array < Int > , n: Int): Unit
{
var i: Int = 0;
while (i < n)
{
print(" " + result[i]);
i += 1;
}
print("\n ");
}
fun sequence(result: Array < Int > ,
index: Int,
n: Int,
k: Int): Unit
{
if (index == n / 2)
{
if ((n % 2) != 0)
{
var i: Int = 2;
// Handles the request of odd length palindrome sequence
while (i <= k * 2)
{
result[index] = i;
this.printResult(result, n);
i += 2;
}
}
else
{
this.printResult(result, n);
}
}
else if (index > n / 2)
{
return;
}
else
{
var i: Int = 2;
while (i <= k * 2)
{
// Set the value of boundary element is to zero
result[index] = i;
result[(n - 1) - index] = i;
this.sequence(result, index + 1, n, k);
i += 2;
}
}
}
fun palindrome(n: Int, k: Int): Unit
{
if (n <= 0 || k > n)
{
return;
}
print("\n Given Length : " + n);
print("\n K : " + k);
print("\n Initial K Even Number [");
var i: Int = 2;
while (i <= k * 2)
{
print(" " + i + " ");
i += 2;
}
print("]\n ");
// Auxiliary array which is collect result
var result: Array < Int > = Array(n)
{
0
};
this.sequence(result, 0, n, k);
}
}
fun main(args: Array < String > ): Unit
{
val n: Int = 6;
val k: Int = 3;
/*
n = 6
k = 3
[2,4,6] 3 Even natural number
----------------------
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
---------------
*/
}``````

#### Output

`````` Given Length : 6
K : 3
Initial K Even Number [ 2  4  6 ]
2 2 2 2 2 2
2 2 4 4 2 2
2 2 6 6 2 2
2 4 2 2 4 2
2 4 4 4 4 2
2 4 6 6 4 2
2 6 2 2 6 2
2 6 4 4 6 2
2 6 6 6 6 2
4 2 2 2 2 4
4 2 4 4 2 4
4 2 6 6 2 4
4 4 2 2 4 4
4 4 4 4 4 4
4 4 6 6 4 4
4 6 2 2 6 4
4 6 4 4 6 4
4 6 6 6 6 4
6 2 2 2 2 6
6 2 4 4 2 6
6 2 6 6 2 6
6 4 2 2 4 6
6 4 4 4 4 6
6 4 6 6 4 6
6 6 2 2 6 6
6 6 4 4 6 6
6 6 6 6 6 6
``````

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