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Find Nth Kynea Number

Kynea numbers are near-squares of the form (2^n + 1)^2 - 2. This formula produce an integer value their initial sequence values is (7, 23, 79, 287, 1087, 4223, 16639, 66047, 263167, 1050623). Our goal is to write a program which is finding the nth kynea number which result is not exceed the size of integer.

Here given code implementation process.

/*
  Java Program for
  Find Nth Kynea Number
*/
public class KyneaNumber
{
    public int findPower(int number, int size)
    {
        if (number == 0)
        {
            return 0;
        }
        else if (size == 0)
        {
            return 1;
        }
        else
        {
            int result = number;
            for (int i = 2; i <= size; ++i)
            {
                result = result * number;
            }
            return result;
        }
    }
    public void nthKyneaNo(int number)
    {
        if (number <= 0)
        {
            // When invalid kynea number
            return;
        }
        int result = (findPower(2, 2 * number) + findPower(2, number + 1) - 1);
        System.out.println(number + " 'nth Kynea number is : " + result);
    }
    public static void main(String[] args)
    {
        KyneaNumber task = new KyneaNumber();
        // Test Case
        task.nthKyneaNo(4);
        task.nthKyneaNo(7);
        task.nthKyneaNo(9);
        task.nthKyneaNo(15);
    }
}

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
// Include namespace system
using System;
/*
  Csharp Program for
  Find Nth Kynea Number
*/
public class KyneaNumber
{
    public int findPower(int number, int size)
    {
        if (number == 0)
        {
            return 0;
        }
        else if (size == 0)
        {
            return 1;
        }
        else
        {
            var result = number;
            for (var i = 2; i <= size; ++i)
            {
                result = result * number;
            }
            return result;
        }
    }
    public void nthKyneaNo(int number)
    {
        if (number <= 0)
        {
            // When invalid kynea number
            return;
        }
        var result = (this.findPower(2, 2 * number) + 
                      this.findPower(2, number + 1) - 1);
        Console.WriteLine(number + " 'nth Kynea number is : " +
                          result);
    }
    public static void Main(String[] args)
    {
        var task = new KyneaNumber();
        // Test Case
        task.nthKyneaNo(4);
        task.nthKyneaNo(7);
        task.nthKyneaNo(9);
        task.nthKyneaNo(15);
    }
}

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
// Include header file
#include <iostream>
using namespace std;
/*
  C++ Program for
  Find Nth Kynea Number
*/
class KyneaNumber
{
    public: int findPower(int number, int size)
    {
        if (number == 0)
        {
            return 0;
        }
        else if (size == 0)
        {
            return 1;
        }
        else
        {
            int result = number;
            for (int i = 2; i <= size; ++i)
            {
                result = result *number;
            }
            return result;
        }
    }
    void nthKyneaNo(int number)
    {
        if (number <= 0)
        {
            // When invalid kynea number
            return;
        }
        int result = (this->findPower(2, 2 *number) + 
                      this->findPower(2, number + 1) - 1);
        cout << number << " \'nth Kynea number is : " << result << endl;
    }
};
int main()
{
    KyneaNumber *task = new KyneaNumber();
    // Test Case
    task->nthKyneaNo(4);
    task->nthKyneaNo(7);
    task->nthKyneaNo(9);
    task->nthKyneaNo(15);
    return 0;
}

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
// C Program for
// Find Nth Kynea Number
#include <stdio.h>

int pow_number(int number, int size)
{
    if (number == 0)
    {
        return 0;
    }
    else if (size == 0)
    {
        return 1;
    }
    else
    {
        int result = number;
        for (int i = 2; i <= size; ++i)
        {
            result = result *number;
        }
        return result;
    }
}
void kynea_number(int number)
{
    if (number <= 0)
    {
        // When invalid kynea number
        return;
    }
    printf("%d 'nth Kynea number is : %d\n", number, 
           (pow_number(2, 2 *number) + pow_number(2, number + 1) - 1));
}
int main()
{
    kynea_number(4);
    kynea_number(7);
    kynea_number(9);
    kynea_number(15);
    return 0;
}

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
package main
import "fmt"
/*
  Go Program for
  Find Nth Kynea Number
*/

func findPower(number, size int) int {
    if number == 0 {
        return 0
    } else if size == 0 {
        return 1
    } else {
        var result int = number
        for i := 2 ; i <= size ; i++ {
            result = result * number
        }
        return result
    }
}
func nthKyneaNo(number int) {
    if number <= 0 {
        // When invalid kynea number
        return
    }
    var result int = (findPower(2, 2 * number) + findPower(2, number + 1) - 1)
    fmt.Println(number, "'nth Kynea number is :", result)
}
func main() {
    
    // Test Case
    nthKyneaNo(4)
    nthKyneaNo(7)
    nthKyneaNo(9)
    nthKyneaNo(15)
}

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
<?php
/*
  Php Program for
  Find Nth Kynea Number
*/
class KyneaNumber
{
    public  function findPower($number, $size)
    {
        if ($number == 0)
        {
            return 0;
        }
        else if ($size == 0)
        {
            return 1;
        }
        else
        {
            $result = $number;
            for ($i = 2; $i <= $size; ++$i)
            {
                $result = $result * $number;
            }
            return $result;
        }
    }
    public  function nthKyneaNo($number)
    {
        if ($number <= 0)
        {
            // When invalid kynea number
            return;
        }
        $result = ($this->findPower(2, 2 * $number) + 
                   $this->findPower(2, $number + 1) - 1);
        printf("%s\n", $number.
            " 'nth Kynea number is : ".strval($result));
    }
    public static
    function main($args)
    {
        $task = new KyneaNumber();
        // Test Case
        $task->nthKyneaNo(4);
        $task->nthKyneaNo(7);
        $task->nthKyneaNo(9);
        $task->nthKyneaNo(15);
    }
}
KyneaNumber::main(array());

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
/*
  Node JS Program for
  Find Nth Kynea Number
*/
class KyneaNumber
{
    findPower(number, size)
    {
        if (number == 0)
        {
            return 0;
        }
        else if (size == 0)
        {
            return 1;
        }
        else
        {
            var result = number;
            for (var i = 2; i <= size; ++i)
            {
                result = result * number;
            }
            return result;
        }
    }
    nthKyneaNo(number)
    {
        if (number <= 0)
        {
            // When invalid kynea number
            return;
        }
        var result = (this.findPower(2, 2 * number) + 
                      this.findPower(2, number + 1) - 1);
        console.log(number + " 'nth Kynea number is : " + result);
    }
}

function main()
{
    var task = new KyneaNumber();
    // Test Case
    task.nthKyneaNo(4);
    task.nthKyneaNo(7);
    task.nthKyneaNo(9);
    task.nthKyneaNo(15);
}
// Start program execution
main();

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
#  Python 3 Program for
#  Find Nth Kynea Number
class KyneaNumber :
    def findPower(self, number, size) :
        if (number == 0) :
            return 0
        elif (size == 0) :
            return 1
        else :
            result = number
            i = 2
            while (i <= size) :
                result = result * number
                i += 1
            
            return result
        
    
    def nthKyneaNo(self, number) :
        if (number <= 0) :
            #  When invalid kynea number
            return
        
        result = (self.findPower(2, 2 * number) + 
                  self.findPower(2, number + 1) - 1)
        print(number ,"'nth Kynea number is :", result)
    

def main() :
    task = KyneaNumber()
    #  Test Case
    task.nthKyneaNo(4)
    task.nthKyneaNo(7)
    task.nthKyneaNo(9)
    task.nthKyneaNo(15)

if __name__ == "__main__": main()

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
#  Ruby Program for
#  Find Nth Kynea Number
class KyneaNumber 
    def findPower(number, size) 
        if (number == 0) 
            return 0
        elsif (size == 0) 
            return 1
        else
 
            result = number
            i = 2
            while (i <= size) 
                result = result * number
                i += 1
            end

            return result
        end

    end

    def nthKyneaNo(number) 
        if (number <= 0) 
            #  When invalid kynea number
            return
        end

        result = (self.findPower(2, 2 * number) + 
                  self.findPower(2, number + 1) - 1)
        print(number ,"'nth Kynea number is : ", result, "\n")
    end

end

def main() 
    task = KyneaNumber.new()
    #  Test Case
    task.nthKyneaNo(4)
    task.nthKyneaNo(7)
    task.nthKyneaNo(9)
    task.nthKyneaNo(15)
end

main()

Output

4'nth Kynea number is : 287
7'nth Kynea number is : 16639
9'nth Kynea number is : 263167
15'nth Kynea number is : 1073807359
/*
  Scala Program for
  Find Nth Kynea Number
*/
class KyneaNumber()
{
    def findPower(number: Int, size: Int): Int = {
        if (number == 0)
        {
            return 0;
        }
        else if (size == 0)
        {
            return 1;
        }
        else
        {
            var result: Int = number;
            var i: Int = 2;
            while (i <= size)
            {
                result = result * number;
                i += 1;
            }
            return result;
        }
    }
    def nthKyneaNo(number: Int): Unit = {
        if (number <= 0)
        {
            // When invalid kynea number
            return;
        }
        var result: Int = (findPower(2, 2 * number) + 
          findPower(2, number + 1) - 1);
        println(""+ number + " 'nth Kynea number is : " + result);
    }
}
object Main
{
    def main(args: Array[String]): Unit = {
        var task: KyneaNumber = new KyneaNumber();
        // Test Case
        task.nthKyneaNo(4);
        task.nthKyneaNo(7);
        task.nthKyneaNo(9);
        task.nthKyneaNo(15);
    }
}

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
import Foundation
/*
  Swift 4 Program for
  Find Nth Kynea Number
*/
class KyneaNumber
{
    func findPower(_ number: Int, _ size: Int) -> Int
    {
        if (number == 0)
        {
            return 0;
        }
        else if (size == 0)
        {
            return 1;
        }
        else
        {
            var result: Int = number;
            var i: Int = 2;
            while (i <= size)
            {
                result = result * number;
                i += 1;
            }
            return result;
        }
    }
    func nthKyneaNo(_ number: Int)
    {
        if (number <= 0)
        {
            // When invalid kynea number
            return;
        }
        let result: Int = (self.findPower(2, 2 * number) + 
                           self.findPower(2, number + 1) - 1);
        print(String(number) + " \'nth Kynea number is : " + String(result));
    }
    static func main(_ args: [String])
    {
        let task: KyneaNumber? = KyneaNumber();
        // Test Case
        task!.nthKyneaNo(4);
        task!.nthKyneaNo(7);
        task!.nthKyneaNo(9);
        task!.nthKyneaNo(15);
    }
}
KyneaNumber.main([String]());

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
/*
  Kotlin Program for
  Find Nth Kynea Number
*/
class KyneaNumber
{
    fun findPower(number: Int, size: Int): Int
    {
        if (number == 0)
        {
            return 0;
        }
        else if (size == 0)
        {
            return 1;
        }
        else
        {
            var result: Int = number;
            var i: Int = 2;
            while (i <= size)
            {
                result = result * number;
                i += 1;
            }
            return result;
        }
    }
    fun nthKyneaNo(number: Int): Unit
    {
        if (number <= 0)
        {
            // When invalid kynea number
            return;
        }
        val result: Int = (this.findPower(2, 2 * number) + 
                           this.findPower(2, number + 1) - 1);
        println(""+number + "'nth Kynea number is : " + result);
    }
}
fun main(args: Array < String > ): Unit
{
    val task: KyneaNumber = KyneaNumber();
    // Test Case
    task.nthKyneaNo(4);
    task.nthKyneaNo(7);
    task.nthKyneaNo(9);
    task.nthKyneaNo(15);
}

Output

4'nth Kynea number is : 287
7'nth Kynea number is : 16639
9'nth Kynea number is : 263167
15'nth Kynea number is : 1073807359




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